%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET044-5 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 : 300s
% DateTime : Tue May 5 05:07:00 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.62s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 4 unt; 4 nHn; 12 RR)
% Number of literals : 28 ( 0 equ; 13 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 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 : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_3,negated_conjecture,
( ~ element(X1,f(X2))
| ~ element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_2,negated_conjecture,
( element(X1,a)
| ~ element(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_4,negated_conjecture,
( element(X1,X2)
| element(X1,f(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_1,negated_conjecture,
( element(X1,X1)
| ~ element(X1,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(i_0_4,negated_conjecture,
( ~ element(X1,f(X2))
| ~ element(X1,X2) ),
clause_3,
[final] ).
cnf(i_0_5,negated_conjecture,
( element(X1,a)
| ~ element(X1,X1) ),
clause_2,
[final] ).
cnf(i_0_6,negated_conjecture,
( element(X1,X2)
| element(X1,f(X2)) ),
clause_4,
[final] ).
cnf(i_0_7,negated_conjecture,
( element(X1,X1)
| ~ element(X1,a) ),
clause_1,
[final] ).
cnf(i_0_8,plain,
( element(X1,f(X1))
| element(X1,a) ),
inference(scs_inference,[],[i_0_5,i_0_6]) ).
cnf(i_0_9,plain,
( ~ element(f(X1),X1)
| ~ element(f(X1),a) ),
inference(scs_inference,[],[i_0_7,i_0_4]) ).
cnf(i_0_10,plain,
( element(X1,a)
| ~ element(X1,f(f(X1))) ),
inference(scs_inference,[],[i_0_8,i_0_4]) ).
cnf(i_0_11,plain,
~ element(f(a),f(f(f(a)))),
inference(scs_inference,[],[i_0_9,i_0_10]) ).
cnf(i_0_12,plain,
~ element(f(a),f(a)),
inference(scs_inference,[],[i_0_5,i_0_9]) ).
cnf(i_0_13,plain,
element(f(a),a),
inference(scs_inference,[],[i_0_12,i_0_6]) ).
cnf(i_0_14,plain,
( element(X1,f(X2))
| element(X1,X2) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_15,plain,
$false,
inference(scs_inference,[],[i_0_12,i_0_6,i_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET044-5 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n008.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 02:05:58 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 0.25/1.62 % Version : CSE_E---1.7
% 0.25/1.62 % Problem : theBenchmark.p
% 0.25/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.62 % SZS output start CNFRefutation
% See solution above
% 0.25/1.64 % Total time : 1.271s
%------------------------------------------------------------------------------