0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.13 % Command : run_Leo-III---1.5 %s %d
0.14/0.34 % Computer : n005.cluster.edu
0.14/0.34 % Model : x86_64 x86_64
0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34 % Memory : 8042.1875MB
0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
0.14/0.34 % CPULimit : 960
0.14/0.34 % WCLimit : 120
0.14/0.34 % DateTime : Thu Jul 2 08:05:51 EDT 2020
0.14/0.35 % CPUTime :
0.14/0.35 % Leo-III: Strategy 1 (for '60')
11.62/6.28 % [INFO] Running in sequential loop mode.
11.62/6.28 % [CONFIG] Using configuration: timeout(60) with strategy
11.62/6.28 % [INFO] eprover registered as external prover.
11.62/6.28 % [INFO] cvc4 registered as external prover.
11.62/6.28 % [INFO] Parsing finished. Scanning for conjecture ...
11.62/6.28 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
11.62/6.28 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
11.62/6.28 % [INFO] Type checking passed. Searching for refutation ...
11.62/6.28 % [INFO] Killing All external provers ...
11.62/6.28 % Time passed: 2656ms
11.62/6.28 % Effective reasoning time: 1731ms
11.62/6.28 % Solved by strategy
11.62/6.28 % Axioms used in derivation (0):
11.62/6.28 % No. of inferences in proof: 4
11.62/6.28 % No. of processed clauses: 20
11.62/6.28 % No. of generated clauses: 400
11.62/6.28 % No. of forward subsumed clauses: 10
11.62/6.28 % No. of backward subsumed clauses: 0
11.62/6.28 % No. of ground rewrite rules in store: 2
11.62/6.28 % No. of non-ground rewrite rules in store: 0
11.62/6.28 % No. of positive (non-rewrite) units in store: 0
11.62/6.28 % No. of negative (non-rewrite) units in store: 2
11.62/6.28 % No. of choice functions detected: 0
11.62/6.28 % No. of choice instantiations: 0
11.62/6.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2656 ms resp. 1731 ms w/o parsing
11.62/6.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
11.62/6.28 thf(in_type, type, in: ($i > ($i > $o))).
11.62/6.28 thf(subset_type, type, subset: ($i > ($i > $o))).
11.62/6.28 thf(setextsub_type, type, setextsub: $o).
11.62/6.28 thf(setextsub_def, definition, (setextsub = (! [A:$i,B:$i]: ((subset @ A @ B) => ((subset @ B @ A) => (A = B)))))).
11.62/6.28 thf(binunion_type, type, binunion: ($i > ($i > $i))).
11.62/6.28 thf(kpair_type, type, kpair: ($i > ($i > $i))).
11.62/6.28 thf(breln1_type, type, breln1: ($i > ($i > $o))).
11.62/6.28 thf(subbreln1_type, type, subbreln1: $o).
11.62/6.28 thf(subbreln1_def, definition, (subbreln1 = (! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => ((! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ A) => ((in @ (kpair @ D @ E) @ B) => (in @ (kpair @ D @ E) @ C)))))) => (subset @ B @ C)))))))).
11.62/6.28 thf(breln1unionprop_type, type, breln1unionprop: $o).
11.62/6.28 thf(breln1unionprop_def, definition, (breln1unionprop = (! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => (breln1 @ A @ (binunion @ B @ C)))))))).
11.62/6.28 thf(breln1unionIL_type, type, breln1unionIL: $o).
11.62/6.28 thf(breln1unionIL_def, definition, (breln1unionIL = (! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => (! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ A) => ((in @ (kpair @ D @ E) @ B) => (in @ (kpair @ D @ E) @ (binunion @ B @ C))))))))))))).
11.62/6.28 thf(breln1unionIR_type, type, breln1unionIR: $o).
11.62/6.28 thf(breln1unionIR_def, definition, (breln1unionIR = (! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => (! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ A) => ((in @ (kpair @ D @ E) @ C) => (in @ (kpair @ D @ E) @ (binunion @ B @ C))))))))))))).
11.62/6.28 thf(breln1unionE_type, type, breln1unionE: $o).
11.62/6.28 thf(breln1unionE_def, definition, (breln1unionE = (! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => (! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ A) => ((in @ (kpair @ D @ E) @ (binunion @ B @ C)) => ((in @ (kpair @ D @ E) @ B) | (in @ (kpair @ D @ E) @ C))))))))))))).
11.62/6.28 thf(1,conjecture,(((setextsub) => ((subbreln1) => ((breln1unionprop) => ((((breln1unionE) => (! [A:$i,B:$i]: ((! [C:$i]: (((binunion @ B @ C) = (binunion @ C @ B)) <= (breln1 @ A @ C))) <= (breln1 @ A @ B)))) <= (breln1unionIR)) <= (breln1unionIL)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1unionCommutes)).
11.62/6.28 thf(2,negated_conjecture,((~ ((setextsub) => ((subbreln1) => ((breln1unionprop) => ((((breln1unionE) => (! [A:$i,B:$i]: ((! [C:$i]: (((binunion @ B @ C) = (binunion @ C @ B)) <= (breln1 @ A @ C))) <= (breln1 @ A @ B)))) <= (breln1unionIR)) <= (breln1unionIL))))))),inference(neg_conjecture,[status(cth)],[1])).
11.62/6.28 thf(3,plain,((~ ((! [A:$i,B:$i]: ((subset @ A @ B) => ((subset @ B @ A) => (A = B)))) => ((! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => ((! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ A) => ((in @ (kpair @ D @ E) @ B) => (in @ (kpair @ D @ E) @ C)))))) => (subset @ B @ C)))))) => ((! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => (breln1 @ A @ (binunion @ B @ C)))))) => (((! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => (! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ A) => ((in @ (kpair @ D @ E) @ (binunion @ B @ C)) => ((in @ (kpair @ D @ E) @ B) | (in @ (kpair @ D @ E) @ C))))))))))) => (! [A:$i,B:$i]: (! [C:$i]: (((binunion @ B @ C) = (binunion @ C @ B)) | ~ (breln1 @ A @ C)) | ~ (breln1 @ A @ B)))) | ~ (! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => (! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ A) => ((in @ (kpair @ D @ E) @ C) => (in @ (kpair @ D @ E) @ (binunion @ B @ C))))))))))) | ~ (! [A:$i,B:$i]: ((breln1 @ A @ B) => (! [C:$i]: ((breln1 @ A @ C) => (! [D:$i]: ((in @ D @ A) => (! [E:$i]: ((in @ E @ A) => ((in @ (kpair @ D @ E) @ B) => (in @ (kpair @ D @ E) @ (binunion @ B @ C))))))))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
11.62/6.28 thf(1141,plain,($false),inference(cvc4,[status(thm)],[3])).
11.62/6.28 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
11.62/6.28 % [INFO] Killing All external provers ...
11.62/6.28 FINAL WATCH: 10.8 CPU 2.9 WC
11.62/6.28 Killed 1 orphans
11.62/6.28 Killed 1 orphans
11.62/6.28 Killed 1 orphans
11.62/6.28 EOF