%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET044+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n012.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 : Theorem 0.15s 1.62s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 39 ( 18 ~; 12 |; 3 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 25 ( 0 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel40,conjecture,
( ? [X1] :
! [X2] :
( element(X2,X1)
<=> element(X2,X2) )
=> ~ ! [X3] :
? [X4] :
! [X5] :
( element(X5,X4)
<=> ~ element(X5,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel40) ).
fof(i_0_1,negated_conjecture,
~ ( ? [X1] :
! [X2] :
( element(X2,X1)
<=> element(X2,X2) )
=> ~ ! [X3] :
? [X4] :
! [X5] :
( element(X5,X4)
<=> ~ element(X5,X3) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel40])]) ).
fof(i_0_2,negated_conjecture,
! [X12,X13,X15,X16] :
( ( ~ element(X12,esk1_0)
| element(X12,X12) )
& ( ~ element(X12,X12)
| element(X12,esk1_0) )
& ( ~ element(X15,esk2_1(X13))
| ~ element(X15,X13) )
& ( element(X16,X13)
| element(X16,esk2_1(X13)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])]) ).
cnf(i_0_3,negated_conjecture,
( ~ element(X1,esk2_1(X2))
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( element(X1,esk1_0)
| ~ element(X1,X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
( element(X1,X2)
| element(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
( element(X1,X1)
| ~ element(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,plain,
( element(X1,esk2_1(X1))
| element(X1,esk1_0) ),
inference(scs_inference,[],[i_0_4,i_0_5]) ).
cnf(i_0_8,plain,
( ~ element(esk2_1(X1),X1)
| ~ element(esk2_1(X1),esk1_0) ),
inference(scs_inference,[],[i_0_6,i_0_3]) ).
cnf(i_0_9,plain,
( element(X1,esk1_0)
| ~ element(X1,esk2_1(esk2_1(X1))) ),
inference(scs_inference,[],[i_0_7,i_0_3]) ).
cnf(i_0_10,plain,
~ element(esk2_1(esk1_0),esk2_1(esk2_1(esk2_1(esk1_0)))),
inference(scs_inference,[],[i_0_8,i_0_9]) ).
cnf(i_0_11,plain,
~ element(esk2_1(esk1_0),esk2_1(esk1_0)),
inference(scs_inference,[],[i_0_4,i_0_8]) ).
cnf(i_0_12,plain,
element(esk2_1(esk1_0),esk1_0),
inference(scs_inference,[],[i_0_11,i_0_5]) ).
cnf(i_0_13,plain,
( element(X1,esk2_1(X2))
| element(X1,X2) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_14,plain,
$false,
inference(scs_inference,[],[i_0_11,i_0_5,i_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET044+1 : TPTP v9.2.1. Released v2.0.0.
% 0.07/0.14 % 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
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8042.1875MB
% 0.08/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Tue May 5 02:06:01 EDT 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % start to proof: theBenchmark
% 0.15/1.62 % Version : CSE_E---1.7
% 0.15/1.62 % Problem : theBenchmark.p
% 0.15/1.62 % SZS status Theorem for theBenchmark.p
% 0.15/1.62 % SZS output start CNFRefutation
% See solution above
% 0.15/1.64 % Total time : 1.263s
%------------------------------------------------------------------------------