## TSTP Solution File: SYN259-1 by Metis---2.4

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN259-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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  : 600s
% DateTime : Thu Jul 21 09:00:47 EDT 2022

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d) ).

cnf(rule_072,axiom,
( p1(F,F,F)
| ~ s0(G)
| ~ s0(F) ) ).

cnf(prove_this,negated_conjecture,
~ p1(X,d,X) ).

cnf(refute_0_0,plain,
( ~ s0(d)
| p1(d,d,d) ),
inference(subst,[],[rule_072:[bind(F,\$fot(d)),bind(G,\$fot(d))]]) ).

cnf(refute_0_1,plain,
p1(d,d,d),
inference(resolve,[\$cnf( s0(d) )],[axiom_1,refute_0_0]) ).

cnf(refute_0_2,plain,
~ p1(d,d,d),
inference(subst,[],[prove_this:[bind(X,\$fot(d))]]) ).

cnf(refute_0_3,plain,
\$false,
inference(resolve,[\$cnf( p1(d,d,d) )],[refute_0_1,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN259-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 23:02:19 EDT 2022
% 0.12/0.33  % CPUTime  :
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.46
% 0.17/0.46  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.17/0.46
%------------------------------------------------------------------------------
```