TSTP Solution File: SEU163+1 by Leo-III---1.7.0

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Leo-III---1.7.0
% Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 20 06:35:07 EDT 2022

% Result   : Theorem 2.68s 1.58s
% Output   : Refutation 2.68s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   19 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   48 (   4   ~;   0   |;   0   &;  37   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^  17   !;   0   ?;  17   :)

%------------------------------------------------------------------------------
thf(in_type,type,
in: \$i > \$i > \$o ).

thf(subset_type,type,
subset: \$i > \$i > \$o ).

thf(union_type,type,
union: \$i > \$i ).

thf(3,axiom,
! [A: \$i,B: \$i] : ( subset @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(10,plain,
! [A: \$i] : ( subset @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(5,axiom,
\$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_tarski) ).

thf(14,plain,
\$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(4,axiom,
! [A: \$i,B: \$i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(12,plain,
! [A: \$i,B: \$i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(1,conjecture,
! [A: \$i,B: \$i] :
( ( in @ A @ B )
=> ( subset @ A @ ( union @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).

thf(2,negated_conjecture,
~ ! [A: \$i,B: \$i] :
( ( in @ A @ B )
=> ( subset @ A @ ( union @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).

thf(7,plain,
~ ! [A: \$i,B: \$i] :
( ( in @ A @ B )
=> ( subset @ A @ ( union @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,axiom,
! [A: \$i,B: \$i] :
( ( in @ A @ B )
=> ( subset @ A @ ( union @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).

thf(15,plain,
! [A: \$i,B: \$i] :
( ( in @ A @ B )
=> ( subset @ A @ ( union @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(20,plain,
\$false,
inference(cvc4,[status(thm)],[10,14,12,7,15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Sep  3 10:02:54 EDT 2022
% 0.14/0.35  % CPUTime  :
% 0.87/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.95  % [INFO] 	 Parsing done (112ms).
% 1.24/0.96  % [INFO] 	 Running in sequential loop mode.
% 1.50/1.16  % [INFO] 	 eprover registered as external prover.
% 1.50/1.16  % [INFO] 	 cvc4 registered as external prover.
% 1.50/1.16  % [INFO] 	 Scanning for conjecture ...
% 1.77/1.21  % [INFO] 	 Found a conjecture and 4 axioms. Running axiom selection ...
% 1.77/1.23  % [INFO] 	 Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.87/1.24  % [INFO] 	 Problem is first-order (TPTP FOF).
% 1.87/1.24  % [INFO] 	 Type checking passed.
% 1.89/1.24  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ...
% 2.68/1.58  % External prover 'cvc4' found a proof!
% 2.68/1.58  % [INFO] 	 Killing All external provers ...
% 2.68/1.58  % Time passed: 1094ms (effective reasoning time: 621ms)
% 2.68/1.58  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.68/1.58  % Axioms used in derivation (4): reflexivity_r1_tarski, dt_k3_tarski, antisymmetry_r2_hidden, l50_zfmisc_1
% 2.68/1.58  % No. of inferences in proof: 12
% 2.68/1.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1094 ms resp. 621 ms w/o parsing
% 2.68/1.60  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.68/1.60  % [INFO] 	 Killing All external provers ...
%------------------------------------------------------------------------------
```