TSTP Solution File: SYN065-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN065-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% 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 : 600s
% DateTime : Thu Jul 21 08:59:11 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 19 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
big_f(X,f(X)) ).
cnf(clause_2,axiom,
big_g(X,g(X)) ).
cnf(clause_4,axiom,
( ~ big_f(X,Y)
| ~ big_g(Y,Z)
| big_h(X,Z) ) ).
cnf(clause_7,negated_conjecture,
~ big_h(a,X) ).
cnf(refute_0_0,plain,
~ big_h(a,g(f(a))),
inference(subst,[],[clause_7:[bind(X,$fot(g(f(a))))]]) ).
cnf(refute_0_1,plain,
big_g(f(X_8),g(f(X_8))),
inference(subst,[],[clause_2:[bind(X,$fot(f(X_8)))]]) ).
cnf(refute_0_2,plain,
big_f(X_5,f(X_5)),
inference(subst,[],[clause_1:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_3,plain,
( ~ big_f(X_5,f(X_5))
| ~ big_g(f(X_5),X_7)
| big_h(X_5,X_7) ),
inference(subst,[],[clause_4:[bind(X,$fot(X_5)),bind(Y,$fot(f(X_5))),bind(Z,$fot(X_7))]]) ).
cnf(refute_0_4,plain,
( ~ big_g(f(X_5),X_7)
| big_h(X_5,X_7) ),
inference(resolve,[$cnf( big_f(X_5,f(X_5)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ big_g(f(X_8),g(f(X_8)))
| big_h(X_8,g(f(X_8))) ),
inference(subst,[],[refute_0_4:[bind(X_5,$fot(X_8)),bind(X_7,$fot(g(f(X_8))))]]) ).
cnf(refute_0_6,plain,
big_h(X_8,g(f(X_8))),
inference(resolve,[$cnf( big_g(f(X_8),g(f(X_8))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
big_h(a,g(f(a))),
inference(subst,[],[refute_0_6:[bind(X_8,$fot(a))]]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( big_h(a,g(f(a))) )],[refute_0_7,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN065-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 22:43:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------