%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET045+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 : n013.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 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 27 ( 13 ~; 8 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 22 ( 3 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel41_1,axiom,
! [X1] :
? [X2] :
! [X3] :
( element(X3,X2)
<=> ( element(X3,X1)
& ~ element(X3,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel41_1) ).
fof(pel41,conjecture,
~ ? [X1] :
! [X3] : element(X3,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel41) ).
fof(c_0_2,plain,
! [X1] :
? [X2] :
! [X3] :
( element(X3,X2)
<=> ( element(X3,X1)
& ~ element(X3,X3) ) ),
inference(fof_simplification,[status(thm)],[pel41_1]) ).
fof(c_0_3,negated_conjecture,
~ ~ ? [X1] :
! [X3] : element(X3,X1),
inference(assume_negation,[status(cth)],[pel41]) ).
fof(c_0_4,plain,
! [X9,X11,X12] :
( ( element(X11,X9)
| ~ element(X11,esk1_1(X9)) )
& ( ~ element(X11,X11)
| ~ element(X11,esk1_1(X9)) )
& ( ~ element(X12,X9)
| element(X12,X12)
| element(X12,esk1_1(X9)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X14] : element(X14,esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( element(X1,X1)
| element(X1,esk1_1(X2))
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
element(X1,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ element(X1,X1)
| ~ element(X1,esk1_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( element(X1,esk1_1(esk2_0))
| element(X1,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
element(esk1_1(X1),esk1_1(esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).
cnf(c_0_11,negated_conjecture,
~ element(esk1_1(X1),esk1_1(X1)),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_11,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET045+1 : TPTP v9.2.1. Released v2.0.0.
% 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
% 0.16/0.33 % Computer : n013.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 02:05:41 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------