%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL674+1.005 : TPTP v9.2.1. Released v4.0.0.
% 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 : n002.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 04:44:44 PM UTC 2026
% Result : Theorem 1.13s 1.85s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 670 ( 0 equ)
% Maximal formula atoms : 250 ( 21 avg)
% Number of connectives : 1153 ( 514 ~; 415 |; 221 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 109 ( 0 sgn 95 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(X2)
<=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_3]) ).
fof(c_0_5,plain,
! [X2] :
( epred1_1(X2)
=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_6,negated_conjecture,
! [X38,X39] :
( ( ~ r1(esk1_0,X38)
| p3(X38) )
& ( ~ r1(esk1_0,X39)
| epred1_1(X39) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X33] : r1(X33,X33),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_8,plain,
! [X40,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62] :
( ( r1(X40,esk2_1(X40))
| p105(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( ~ p6(esk2_1(X40))
| p105(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( ~ p106(esk2_1(X40))
| p105(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( p105(esk2_1(X40))
| p105(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( r1(X40,esk3_1(X40))
| p105(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( p6(esk3_1(X40))
| p105(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( ~ p106(esk3_1(X40))
| p105(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( p105(esk3_1(X40))
| p105(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( r1(X40,esk4_1(X40))
| p104(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( ~ p5(esk4_1(X40))
| p104(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( ~ p105(esk4_1(X40))
| p104(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( p104(esk4_1(X40))
| p104(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( r1(X40,esk5_1(X40))
| p104(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( p5(esk5_1(X40))
| p104(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( ~ p105(esk5_1(X40))
| p104(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( p104(esk5_1(X40))
| p104(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( r1(X40,esk6_1(X40))
| p103(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( ~ p4(esk6_1(X40))
| p103(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( ~ p104(esk6_1(X40))
| p103(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( p103(esk6_1(X40))
| p103(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( r1(X40,esk7_1(X40))
| p103(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( p4(esk7_1(X40))
| p103(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( ~ p104(esk7_1(X40))
| p103(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( p103(esk7_1(X40))
| p103(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( r1(X40,esk8_1(X40))
| p102(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( ~ p3(esk8_1(X40))
| p102(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( ~ p103(esk8_1(X40))
| p102(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( p102(esk8_1(X40))
| p102(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( r1(X40,esk9_1(X40))
| p102(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( p3(esk9_1(X40))
| p102(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( ~ p103(esk9_1(X40))
| p102(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( p102(esk9_1(X40))
| p102(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( r1(X40,esk10_1(X40))
| p101(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( ~ p2(esk10_1(X40))
| p101(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( ~ p102(esk10_1(X40))
| p101(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( p101(esk10_1(X40))
| p101(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( r1(X40,esk11_1(X40))
| p101(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( p2(esk11_1(X40))
| p101(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( ~ p102(esk11_1(X40))
| p101(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( p101(esk11_1(X40))
| p101(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X51)
| ~ p6(X51)
| ~ p105(X51)
| p6(X40)
| ~ p105(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X52)
| p6(X52)
| ~ p105(X52)
| ~ p6(X40)
| ~ p105(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X53)
| ~ p5(X53)
| ~ p104(X53)
| p5(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X54)
| p5(X54)
| ~ p104(X54)
| ~ p5(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X55)
| ~ p4(X55)
| ~ p103(X55)
| p4(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X56)
| p4(X56)
| ~ p103(X56)
| ~ p4(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X57)
| ~ p3(X57)
| ~ p102(X57)
| p3(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X58)
| p3(X58)
| ~ p102(X58)
| ~ p3(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X59)
| ~ p2(X59)
| ~ p101(X59)
| p2(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X60)
| p2(X60)
| ~ p101(X60)
| ~ p2(X40)
| ~ p101(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X61)
| ~ p1(X61)
| ~ p100(X61)
| p1(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( ~ r1(X40,X62)
| p1(X62)
| ~ p100(X62)
| ~ p1(X40)
| ~ p100(X40)
| ~ epred1_1(X40) )
& ( p105(X40)
| ~ p106(X40)
| ~ epred1_1(X40) )
& ( p104(X40)
| ~ p105(X40)
| ~ epred1_1(X40) )
& ( p103(X40)
| ~ p104(X40)
| ~ epred1_1(X40) )
& ( p102(X40)
| ~ p103(X40)
| ~ epred1_1(X40) )
& ( p101(X40)
| ~ p102(X40)
| ~ epred1_1(X40) )
& ( p100(X40)
| ~ p101(X40)
| ~ epred1_1(X40) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_9,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( r1(X1,esk11_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
r1(esk1_0,esk11_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_16,plain,
( p101(esk11_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
! [X34,X35,X36] :
( ~ r1(X34,X35)
| ~ r1(X35,X36)
| r1(X34,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).
cnf(c_0_18,plain,
( r1(X1,esk8_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
epred1_1(esk11_1(esk1_0)),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p101(esk11_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_21,plain,
( r1(X1,X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( p102(esk11_1(esk1_0))
| r1(esk11_1(esk1_0),esk8_1(esk11_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_23,negated_conjecture,
( p102(esk11_1(esk1_0))
| r1(X1,esk8_1(esk11_1(esk1_0)))
| ~ r1(X1,esk11_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
( p102(esk11_1(esk1_0))
| r1(esk1_0,esk8_1(esk11_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_26,plain,
( p102(X1)
| ~ p3(esk8_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( p102(esk11_1(esk1_0))
| p3(esk8_1(esk11_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( p101(X1)
| ~ p102(esk11_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,plain,
p102(esk11_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_19]),c_0_20])]) ).
cnf(c_0_30,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.18 % Problem : LCL674+1.005 : TPTP v9.2.1. Released v4.0.0.
% 0.06/0.18 % 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
% 0.12/0.43 % Computer : n002.cluster.edu
% 0.12/0.43 % Model : x86_64 x86_64
% 0.12/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.43 % Memory : 8042.1875MB
% 0.12/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.43 % CPULimit : 300
% 0.12/0.43 % WCLimit : 300
% 0.12/0.43 % DateTime : Mon May 4 22:59:31 EDT 2026
% 0.15/0.45 % CPUTime :
% 0.15/0.45 % start to proof: theBenchmark
% 1.13/1.85 % Version : CSE_E---1.7
% 1.13/1.85 % Problem : theBenchmark.p
% 1.13/1.85 % SZS status Theorem for theBenchmark.p
% 1.13/1.85 % SZS output start CNFRefutation
% See solution above
% 1.13/1.85 % Total time : 1.382s
%------------------------------------------------------------------------------