%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET158-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 : Tue Jul 19 03:33:09 EDT 2022
% Result : Unsatisfiable 1.27s 1.49s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 14 RR)
% Number of literals : 24 ( 11 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(complement1,axiom,
( ~ member(Z,complement(X))
| ~ member(Z,X) ) ).
cnf(prove_corollary_to_complement_axiom_1,negated_conjecture,
member(y,x) ).
cnf(prove_corollary_to_complement_axiom_2,negated_conjecture,
member(z,complement(x)) ).
cnf(prove_corollary_to_complement_axiom_3,negated_conjecture,
y = z ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( y != z
| z = y ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(y)),bind(Y,$fot(z))]]) ).
cnf(refute_0_4,plain,
z = y,
inference(resolve,[$cnf( $equal(y,z) )],[prove_corollary_to_complement_axiom_3,refute_0_3]) ).
cnf(refute_0_5,plain,
( z != y
| ~ member(z,complement(x))
| member(y,complement(x)) ),
introduced(tautology,[equality,[$cnf( member(z,complement(x)) ),[0],$fot(y)]]) ).
cnf(refute_0_6,plain,
( ~ member(z,complement(x))
| member(y,complement(x)) ),
inference(resolve,[$cnf( $equal(z,y) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
member(y,complement(x)),
inference(resolve,[$cnf( member(z,complement(x)) )],[prove_corollary_to_complement_axiom_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ member(y,complement(x))
| ~ member(y,x) ),
inference(subst,[],[complement1:[bind(X,$fot(x)),bind(Z,$fot(y))]]) ).
cnf(refute_0_9,plain,
~ member(y,x),
inference(resolve,[$cnf( member(y,complement(x)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( member(y,x) )],[prove_corollary_to_complement_axiom_1,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET158-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.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 : Sun Jul 10 22:58:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.27/1.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.27/1.49
% 1.27/1.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.27/1.49
%------------------------------------------------------------------------------