%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET044-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 03:31:45 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 4 unt; 3 nHn; 10 RR)
% Number of literals : 22 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ element(X,a)
| element(X,X) ) ).
cnf(clause_2,negated_conjecture,
( ~ element(X,X)
| element(X,a) ) ).
cnf(clause_3,negated_conjecture,
( ~ element(Y,f(X))
| ~ element(Y,X) ) ).
cnf(clause_4,negated_conjecture,
( element(Y,X)
| element(Y,f(X)) ) ).
cnf(refute_0_0,plain,
( ~ element(f(a),a)
| ~ element(f(a),f(a)) ),
inference(subst,[],[clause_3:[bind(X,$fot(a)),bind(Y,$fot(f(a)))]]) ).
cnf(refute_0_1,plain,
( ~ element(f(a),a)
| element(f(a),f(a)) ),
inference(subst,[],[clause_1:[bind(X,$fot(f(a)))]]) ).
cnf(refute_0_2,plain,
( ~ element(f(X_4),f(X_4))
| element(f(X_4),a) ),
inference(subst,[],[clause_2:[bind(X,$fot(f(X_4)))]]) ).
cnf(refute_0_3,plain,
( element(f(X_4),X_4)
| element(f(X_4),f(X_4)) ),
inference(subst,[],[clause_4:[bind(X,$fot(X_4)),bind(Y,$fot(f(X_4)))]]) ).
cnf(refute_0_4,plain,
( element(f(X_4),X_4)
| element(f(X_4),a) ),
inference(resolve,[$cnf( element(f(X_4),f(X_4)) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
element(f(a),a),
inference(subst,[],[refute_0_4:[bind(X_4,$fot(a))]]) ).
cnf(refute_0_6,plain,
element(f(a),f(a)),
inference(resolve,[$cnf( element(f(a),a) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
~ element(f(a),a),
inference(resolve,[$cnf( element(f(a),f(a)) )],[refute_0_6,refute_0_0]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( element(f(a),a) )],[refute_0_5,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET044-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n005.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 : Sun Jul 10 07:02:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------