%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL656+1.005 : TPTP v9.2.1. Released v4.0.0.
% 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 : n011.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 04:42:59 PM UTC 2026
% Result : Theorem 1.24s 1.72s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 716 ( 0 equ)
% Maximal formula atoms : 250 ( 21 avg)
% Number of connectives : 1243 ( 561 ~; 460 |; 220 &)
% ( 1 <=>; 1 =>; 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 : 151 ( 0 sgn 113 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [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/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,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_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [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_2]) ).
fof(c_0_4,negated_conjecture,
! [X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
( ( ~ r1(esk1_0,X39)
| ~ r1(X39,X40)
| ~ r1(X40,X41)
| ~ r1(X41,X42)
| ~ r1(X42,X43)
| p3(X43) )
& ( ~ r1(esk1_0,X44)
| ~ r1(X44,X45)
| ~ r1(X45,X46)
| ~ r1(X46,X47)
| ~ r1(X47,X48)
| epred1_1(X48) )
& ~ 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_3])])])]) ).
fof(c_0_5,plain,
! [X37] : r1(X37,X37),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X5)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
fof(c_0_10,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_2]) ).
cnf(c_0_11,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( p3(X5)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_13,plain,
! [X49,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71] :
( ( r1(X49,esk2_1(X49))
| p105(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( ~ p6(esk2_1(X49))
| p105(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( ~ p106(esk2_1(X49))
| p105(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( p105(esk2_1(X49))
| p105(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( r1(X49,esk3_1(X49))
| p105(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( p6(esk3_1(X49))
| p105(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( ~ p106(esk3_1(X49))
| p105(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( p105(esk3_1(X49))
| p105(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( r1(X49,esk4_1(X49))
| p104(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( ~ p5(esk4_1(X49))
| p104(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( ~ p105(esk4_1(X49))
| p104(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( p104(esk4_1(X49))
| p104(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( r1(X49,esk5_1(X49))
| p104(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( p5(esk5_1(X49))
| p104(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( ~ p105(esk5_1(X49))
| p104(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( p104(esk5_1(X49))
| p104(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( r1(X49,esk6_1(X49))
| p103(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( ~ p4(esk6_1(X49))
| p103(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( ~ p104(esk6_1(X49))
| p103(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( p103(esk6_1(X49))
| p103(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( r1(X49,esk7_1(X49))
| p103(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( p4(esk7_1(X49))
| p103(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( ~ p104(esk7_1(X49))
| p103(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( p103(esk7_1(X49))
| p103(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( r1(X49,esk8_1(X49))
| p102(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( ~ p3(esk8_1(X49))
| p102(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( ~ p103(esk8_1(X49))
| p102(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( p102(esk8_1(X49))
| p102(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( r1(X49,esk9_1(X49))
| p102(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( p3(esk9_1(X49))
| p102(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( ~ p103(esk9_1(X49))
| p102(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( p102(esk9_1(X49))
| p102(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( r1(X49,esk10_1(X49))
| p101(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( ~ p2(esk10_1(X49))
| p101(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( ~ p102(esk10_1(X49))
| p101(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( p101(esk10_1(X49))
| p101(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( r1(X49,esk11_1(X49))
| p101(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( p2(esk11_1(X49))
| p101(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( ~ p102(esk11_1(X49))
| p101(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( p101(esk11_1(X49))
| p101(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X60)
| ~ p6(X60)
| ~ p105(X60)
| p6(X49)
| ~ p105(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X61)
| p6(X61)
| ~ p105(X61)
| ~ p6(X49)
| ~ p105(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X62)
| ~ p5(X62)
| ~ p104(X62)
| p5(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X63)
| p5(X63)
| ~ p104(X63)
| ~ p5(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X64)
| ~ p4(X64)
| ~ p103(X64)
| p4(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X65)
| p4(X65)
| ~ p103(X65)
| ~ p4(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X66)
| ~ p3(X66)
| ~ p102(X66)
| p3(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X67)
| p3(X67)
| ~ p102(X67)
| ~ p3(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X68)
| ~ p2(X68)
| ~ p101(X68)
| p2(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X69)
| p2(X69)
| ~ p101(X69)
| ~ p2(X49)
| ~ p101(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X70)
| ~ p1(X70)
| ~ p100(X70)
| p1(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( ~ r1(X49,X71)
| p1(X71)
| ~ p100(X71)
| ~ p1(X49)
| ~ p100(X49)
| ~ epred1_1(X49) )
& ( p105(X49)
| ~ p106(X49)
| ~ epred1_1(X49) )
& ( p104(X49)
| ~ p105(X49)
| ~ epred1_1(X49) )
& ( p103(X49)
| ~ p104(X49)
| ~ epred1_1(X49) )
& ( p102(X49)
| ~ p103(X49)
| ~ epred1_1(X49) )
& ( p101(X49)
| ~ p102(X49)
| ~ epred1_1(X49) )
& ( p100(X49)
| ~ p101(X49)
| ~ epred1_1(X49) ) ),
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_10])])])])]) ).
cnf(c_0_14,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_16,plain,
( r1(X1,esk10_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_18,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_21,plain,
r1(esk1_0,esk10_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_22,plain,
( p101(esk10_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_24,plain,
( r1(X1,esk8_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,negated_conjecture,
epred1_1(esk10_1(esk1_0)),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_26,plain,
p101(esk10_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( p3(X1)
| ~ r1(esk10_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_28,plain,
( p102(esk10_1(esk1_0))
| r1(esk10_1(esk1_0),esk8_1(esk10_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_29,plain,
( p102(X1)
| ~ p3(esk8_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_30,negated_conjecture,
( p102(esk10_1(esk1_0))
| p3(esk8_1(esk10_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
( p101(X1)
| ~ p102(esk10_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,plain,
p102(esk10_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_25]),c_0_26])]) ).
cnf(c_0_33,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL656+1.005 : TPTP v9.2.1. Released v4.0.0.
% 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
% 0.16/0.32 % Computer : n011.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 22:50:17 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 1.24/1.72 % Version : CSE_E---1.7
% 1.24/1.72 % Problem : theBenchmark.p
% 1.24/1.72 % SZS status Theorem for theBenchmark.p
% 1.24/1.72 % SZS output start CNFRefutation
% See solution above
% 1.24/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------