%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET047-5 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 05:07:01 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of clauses : 41 ( 6 unt; 9 nHn; 39 RR)
% Number of literals : 97 ( 0 equ; 55 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_4,axiom,
( set_equal(X1,X2)
| ~ element(f(X1,X2),X2)
| ~ element(f(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_3,axiom,
( element(f(X1,X2),X1)
| element(f(X1,X2),X2)
| set_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(element_substitution2,axiom,
( element(X3,X1)
| ~ set_equal(X1,X2)
| ~ element(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution2) ).
cnf(element_substitution1,axiom,
( element(X3,X2)
| ~ set_equal(X1,X2)
| ~ element(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution1) ).
cnf(prove_symmetry2,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry2) ).
cnf(prove_symmetry1,negated_conjecture,
( set_equal(a,b)
| set_equal(b,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry1) ).
cnf(i_0_6,axiom,
( set_equal(X1,X2)
| ~ element(f(X1,X2),X2)
| ~ element(f(X1,X2),X1) ),
clause_4,
[final] ).
cnf(i_0_7,axiom,
( element(f(X1,X2),X1)
| element(f(X1,X2),X2)
| set_equal(X1,X2) ),
clause_3,
[final] ).
cnf(i_0_8,axiom,
( element(X3,X1)
| ~ set_equal(X1,X2)
| ~ element(X3,X2) ),
element_substitution2,
[final] ).
cnf(i_0_9,axiom,
( element(X3,X2)
| ~ set_equal(X1,X2)
| ~ element(X3,X1) ),
element_substitution1,
[final] ).
cnf(i_0_10,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
prove_symmetry2,
[final] ).
cnf(i_0_11,negated_conjecture,
( set_equal(a,b)
| set_equal(b,a) ),
prove_symmetry1,
[final] ).
cnf(i_0_12,plain,
( ~ set_equal(a,b)
| set_equal(a,b) ),
inference(scs_inference,[],[i_0_10,i_0_11]) ).
cnf(i_0_13,plain,
( ~ element(f(b,a),a)
| ~ element(f(b,a),b)
| ~ set_equal(a,b) ),
inference(scs_inference,[],[i_0_6,i_0_10]) ).
cnf(i_0_14,plain,
( element(f(b,a),b)
| element(f(b,a),a)
| ~ set_equal(a,b) ),
inference(scs_inference,[],[i_0_7,i_0_10]) ).
cnf(i_0_15,plain,
( element(f(b,a),a)
| ~ element(f(b,a),a)
| ~ set_equal(a,b) ),
inference(scs_inference,[],[i_0_13,i_0_14]) ).
cnf(i_0_16,plain,
( ~ set_equal(b,a)
| set_equal(b,a) ),
inference(scs_inference,[],[i_0_10,i_0_11]) ).
cnf(i_0_17,plain,
( ~ element(f(a,b),b)
| ~ element(f(a,b),a)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_10,i_0_6]) ).
cnf(i_0_18,plain,
( element(f(a,b),a)
| element(f(a,b),b)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_10,i_0_7]) ).
cnf(i_0_19,plain,
( ~ element(f(a,b),a)
| element(f(a,b),a)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_18,i_0_17]) ).
cnf(i_0_20,plain,
( ~ element(X1,a)
| element(X1,b)
| set_equal(a,b) ),
inference(scs_inference,[],[i_0_11,i_0_8]) ).
cnf(i_0_21,plain,
( ~ element(f(a,b),a)
| set_equal(a,b)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_20,i_0_17]) ).
cnf(i_0_22,plain,
( element(f(a,b),b)
| set_equal(a,b)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_21,i_0_18]) ).
cnf(i_0_23,plain,
( element(f(a,b),b)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_22,i_0_10]) ).
cnf(i_0_24,plain,
( element(f(a,b),X1)
| ~ set_equal(b,X1)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_23,i_0_9]) ).
cnf(i_0_25,plain,
( ~ element(f(a,b),a)
| ~ set_equal(b,b)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_24,i_0_17]) ).
cnf(i_0_26,plain,
( ~ set_equal(b,b)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_25,i_0_24]) ).
cnf(i_0_27,plain,
( ~ element(f(b,b),b)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_26,i_0_6]) ).
cnf(i_0_28,plain,
( set_equal(b,b)
| ~ set_equal(b,a) ),
inference(scs_inference,[],[i_0_27,i_0_7]) ).
cnf(i_0_29,plain,
~ set_equal(b,a),
inference(scs_inference,[],[i_0_28,i_0_26]) ).
cnf(i_0_30,plain,
set_equal(a,b),
inference(scs_inference,[],[i_0_29,i_0_11]) ).
cnf(i_0_31,plain,
set_equal(a,b),
inference(scs_inference,[],[i_0_30,i_0_12]) ).
cnf(i_0_32,plain,
( ~ element(f(b,a),b)
| ~ element(f(b,a),a) ),
inference(scs_inference,[],[i_0_30,i_0_13]) ).
cnf(i_0_33,plain,
( element(f(b,a),a)
| element(f(b,a),b) ),
inference(scs_inference,[],[i_0_30,i_0_14]) ).
cnf(i_0_34,plain,
( element(f(b,a),a)
| ~ element(f(b,a),a) ),
inference(scs_inference,[],[i_0_30,i_0_15]) ).
cnf(i_0_35,plain,
( ~ element(X1,b)
| element(X1,a) ),
inference(scs_inference,[],[i_0_30,i_0_8]) ).
cnf(i_0_36,plain,
( ~ set_equal(X1,X2)
| ~ element(X3,X2)
| element(X3,X1) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_37,plain,
element(f(b,a),a),
inference(scs_inference,[],[i_0_30,i_0_8,i_0_33]) ).
cnf(i_0_38,plain,
( ~ element(X1,X2)
| element(X1,X3)
| ~ set_equal(X2,X3) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_39,plain,
~ element(f(b,a),b),
inference(scs_inference,[],[i_0_37,i_0_32]) ).
cnf(i_0_40,plain,
$false,
inference(scs_inference,[],[i_0_30,i_0_37,i_0_32,i_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET047-5 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n016.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 02:07:36 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% See solution above
% 0.25/1.67 % Total time : 1.275s
%------------------------------------------------------------------------------