%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% 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 08:58:32 EDT 2022
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,axiom,
p(g(A,B),A,B) ).
cnf(clause2,axiom,
p(A,h(A,B),B) ).
cnf(clause3,axiom,
( ~ p(A,B,C)
| ~ p(D,E,B)
| ~ p(A,D,F)
| p(F,E,C) ) ).
cnf(prove_something,negated_conjecture,
~ p(k(A),A,k(A)) ).
cnf(refute_0_0,plain,
~ p(k(h(X_20,X_20)),h(X_20,X_20),k(h(X_20,X_20))),
inference(subst,[],[prove_something:[bind(A,$fot(h(X_20,X_20)))]]) ).
cnf(refute_0_1,plain,
p(X_17,h(X_17,X_17),X_17),
inference(subst,[],[clause2:[bind(A,$fot(X_17)),bind(B,$fot(X_17))]]) ).
cnf(refute_0_2,plain,
p(g(X_14,X_16),X_14,X_16),
inference(subst,[],[clause1:[bind(A,$fot(X_14)),bind(B,$fot(X_16))]]) ).
cnf(refute_0_3,plain,
( ~ p(X_14,X_15,X_14)
| ~ p(g(X_14,X_16),X_14,X_16)
| p(X_16,X_15,X_16) ),
inference(subst,[],[clause3:[bind(A,$fot(g(X_14,X_16))),bind(B,$fot(X_14)),bind(C,$fot(X_16)),bind(D,$fot(X_14)),bind(E,$fot(X_15)),bind(F,$fot(X_16))]]) ).
cnf(refute_0_4,plain,
( ~ p(X_14,X_15,X_14)
| p(X_16,X_15,X_16) ),
inference(resolve,[$cnf( p(g(X_14,X_16),X_14,X_16) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ p(X_17,h(X_17,X_17),X_17)
| p(X_19,h(X_17,X_17),X_19) ),
inference(subst,[],[refute_0_4:[bind(X_14,$fot(X_17)),bind(X_15,$fot(h(X_17,X_17))),bind(X_16,$fot(X_19))]]) ).
cnf(refute_0_6,plain,
p(X_19,h(X_17,X_17),X_19),
inference(resolve,[$cnf( p(X_17,h(X_17,X_17),X_17) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
p(k(h(X_20,X_20)),h(X_20,X_20),k(h(X_20,X_20))),
inference(subst,[],[refute_0_6:[bind(X_17,$fot(X_20)),bind(X_19,$fot(k(h(X_20,X_20))))]]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( p(k(h(X_20,X_20)),h(X_20,X_20),k(h(X_20,X_20))) )],[refute_0_7,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n027.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 : 600
% 0.14/0.35 % DateTime : Mon Jul 11 15:54:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36
% 0.14/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.36
%------------------------------------------------------------------------------