%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET786+1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n018.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 05:08:29 PM UTC 2026
% Result : Theorem 0.24s 1.61s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 2 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 37 ( 16 ~; 15 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 15 ( 0 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm25,conjecture,
~ ? [X1] :
! [X2] :
( element(X2,X1)
<=> ~ ? [X3] :
( element(X2,X3)
& element(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm25) ).
fof(i_0_1,negated_conjecture,
~ ~ ? [X1] :
! [X2] :
( element(X2,X1)
<=> ~ ? [X3] :
( element(X2,X3)
& element(X3,X2) ) ),
inference(assume_negation,[status(cth)],[thm25]) ).
fof(i_0_2,negated_conjecture,
! [X8,X9] :
( ( ~ element(X8,esk1_0)
| ~ element(X8,X9)
| ~ element(X9,X8) )
& ( element(X8,esk2_1(X8))
| element(X8,esk1_0) )
& ( element(esk2_1(X8),X8)
| element(X8,esk1_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])]) ).
cnf(i_0_3,negated_conjecture,
( ~ element(X1,esk1_0)
| ~ element(X1,X2)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( element(esk2_1(X1),X1)
| element(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
( element(X1,esk2_1(X1))
| element(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,plain,
( ~ element(X1,X2)
| ~ element(X2,X1)
| element(esk2_1(X2),X2) ),
inference(scs_inference,[],[i_0_4,i_0_3]) ).
cnf(i_0_7,plain,
( ~ element(esk1_0,X1)
| element(esk2_1(esk1_0),esk1_0)
| element(X1,esk2_1(X1)) ),
inference(scs_inference,[],[i_0_5,i_0_6]) ).
cnf(i_0_8,plain,
( element(esk1_0,esk2_1(esk1_0))
| element(esk2_1(esk1_0),esk1_0) ),
inference(scs_inference,[],[i_0_7,i_0_4]) ).
cnf(i_0_9,plain,
( ~ element(esk1_0,esk2_1(esk1_0))
| element(esk1_0,esk2_1(esk1_0)) ),
inference(scs_inference,[],[i_0_8,i_0_3]) ).
cnf(i_0_10,plain,
( ~ element(esk1_0,esk2_1(esk1_0))
| element(esk1_0,esk1_0) ),
inference(scs_inference,[],[i_0_4,i_0_3]) ).
cnf(i_0_11,plain,
element(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_10,i_0_5]) ).
cnf(i_0_12,plain,
$false,
inference(scs_inference,[],[i_0_11,i_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET786+1 : TPTP v9.2.1. Released v2.5.0.
% 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
% 0.16/0.33 % Computer : n018.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:35:32 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.24/1.61 % Version : CSE_E---1.7
% 0.24/1.61 % Problem : theBenchmark.p
% 0.24/1.61 % SZS status Theorem for theBenchmark.p
% 0.24/1.61 % SZS output start CNFRefutation
% See solution above
% 0.24/1.63 % Total time : 1.270s
%------------------------------------------------------------------------------