%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL668+1.001 : 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 : 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 04:44:30 PM UTC 2026
% Result : Theorem 3.39s 2.96s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 63 ( 5 unt; 0 def)
% Number of atoms : 727 ( 0 equ)
% Maximal formula atoms : 154 ( 11 avg)
% Number of connectives : 1316 ( 652 ~; 591 |; 73 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-4 aty)
% Number of variables : 419 ( 0 sgn 126 !; 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)
| ! [X1] :
( ~ r1(X2,X1)
| ( ~ p12(X1)
& ~ p10(X1)
& ~ p8(X1)
& ~ p6(X1)
& ~ p4(X1)
& ~ p2(X1) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p7(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)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p5(X1)
& ~ p1(X1) )
| ( p1(X1)
& p5(X1) ) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(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)
| ~ ( ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [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)
& p5(X1)
& p4(X1)
& p3(X1)
& p2(X1)
& p1(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,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ~ p12(X1)
& ~ p10(X1)
& ~ p8(X1)
& ~ p6(X1)
& ~ p4(X1)
& ~ p2(X1) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p7(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)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p5(X1)
& ~ p1(X1) )
| ( p1(X1)
& p5(X1) ) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(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)
| ~ ( ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [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)
& p5(X1)
& p4(X1)
& p3(X1)
& p2(X1)
& p1(X1) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_3,negated_conjecture,
! [X61,X62,X63,X64,X65,X66,X67,X68,X70,X71,X72,X73,X74,X75,X76,X78,X79,X80,X81,X82,X83,X85,X86,X87,X88,X89,X91,X92,X93,X94] :
( r1(esk1_0,esk2_0)
& r1(esk2_0,esk3_0)
& r1(esk3_0,esk4_0)
& r1(esk4_0,esk5_0)
& r1(esk5_0,esk6_0)
& r1(esk6_0,esk7_0)
& ( p12(esk7_0)
| p10(esk7_0)
| p8(esk7_0)
| p6(esk7_0)
| p4(esk7_0)
| p2(esk7_0) )
& r1(esk1_0,esk8_0)
& ~ p7(esk8_0)
& ( p5(X68)
| p1(X68)
| ~ r1(X67,X68)
| ~ r1(X66,X67)
| ~ r1(X65,X66)
| ~ r1(X64,X65)
| ~ r1(X63,X64)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(esk1_0,X61) )
& ( ~ p1(X68)
| ~ p5(X68)
| ~ r1(X67,X68)
| ~ r1(X66,X67)
| ~ r1(X65,X66)
| ~ r1(X64,X65)
| ~ r1(X63,X64)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(esk1_0,X61) )
& ( r1(X61,esk9_1(X61))
| ~ r1(esk1_0,X61) )
& ( ~ p6(esk9_1(X61))
| ~ r1(esk1_0,X61) )
& ( p4(X76)
| p5(X76)
| ~ r1(X75,X76)
| ~ r1(X74,X75)
| ~ r1(X73,X74)
| ~ r1(X72,X73)
| ~ r1(X71,X72)
| ~ r1(X70,X71)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( ~ p5(X76)
| ~ p4(X76)
| ~ r1(X75,X76)
| ~ r1(X74,X75)
| ~ r1(X73,X74)
| ~ r1(X72,X73)
| ~ r1(X71,X72)
| ~ r1(X70,X71)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( r1(X70,esk10_2(X61,X70))
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( ~ p5(esk10_2(X61,X70))
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( p3(X83)
| p4(X83)
| ~ r1(X82,X83)
| ~ r1(X81,X82)
| ~ r1(X80,X81)
| ~ r1(X79,X80)
| ~ r1(X78,X79)
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( ~ p4(X83)
| ~ p3(X83)
| ~ r1(X82,X83)
| ~ r1(X81,X82)
| ~ r1(X80,X81)
| ~ r1(X79,X80)
| ~ r1(X78,X79)
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( r1(X78,esk11_3(X61,X70,X78))
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( ~ p4(esk11_3(X61,X70,X78))
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( p2(X89)
| p3(X89)
| ~ r1(X88,X89)
| ~ r1(X87,X88)
| ~ r1(X86,X87)
| ~ r1(X85,X86)
| ~ r1(X78,X85)
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( ~ p3(X89)
| ~ p2(X89)
| ~ r1(X88,X89)
| ~ r1(X87,X88)
| ~ r1(X86,X87)
| ~ r1(X85,X86)
| ~ r1(X78,X85)
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( r1(X85,esk12_4(X61,X70,X78,X85))
| ~ r1(X78,X85)
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( ~ p3(esk12_4(X61,X70,X78,X85))
| ~ r1(X78,X85)
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( p1(X94)
| p2(X94)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(X91,X92)
| ~ r1(X85,X91)
| ~ r1(X78,X85)
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& ( ~ p2(X94)
| ~ p1(X94)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(X91,X92)
| ~ r1(X85,X91)
| ~ r1(X78,X85)
| ~ r1(X70,X78)
| ~ r1(X61,X70)
| ~ r1(esk1_0,X61) )
& r1(esk1_0,esk13_0)
& r1(esk13_0,esk14_0)
& r1(esk14_0,esk15_0)
& r1(esk15_0,esk16_0)
& r1(esk16_0,esk17_0)
& r1(esk17_0,esk18_0)
& ( ~ p6(esk18_0)
| ~ p5(esk18_0)
| ~ p4(esk18_0)
| ~ p3(esk18_0)
| ~ p2(esk18_0)
| ~ p1(esk18_0) ) ),
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_2])])])])]) ).
fof(c_0_4,plain,
! [X52] : r1(X52,X52),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_5,negated_conjecture,
( ~ p2(X1)
| ~ p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ~ p4(X1)
| ~ p3(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( p5(X1)
| p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( p2(X1)
| p3(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( p4(X1)
| p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_6]) ).
cnf(c_0_30,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_6]) ).
cnf(c_0_31,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_32,negated_conjecture,
r1(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_33,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_6]) ).
cnf(c_0_34,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_6]) ).
cnf(c_0_35,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_6]) ).
cnf(c_0_36,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_6]) ).
cnf(c_0_37,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_6]) ).
cnf(c_0_38,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_6]) ).
cnf(c_0_39,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_6]) ).
cnf(c_0_40,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_6]) ).
cnf(c_0_41,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_45,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_46,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_47,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_48,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]) ).
cnf(c_0_49,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_6]) ).
cnf(c_0_50,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_6]) ).
cnf(c_0_51,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_6]) ).
cnf(c_0_52,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_6]) ).
cnf(c_0_53,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_6]) ).
cnf(c_0_54,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_6]) ).
cnf(c_0_55,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_6]) ).
cnf(c_0_56,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_6]) ).
cnf(c_0_57,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_6]) ).
cnf(c_0_58,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_6]) ).
cnf(c_0_59,negated_conjecture,
( ~ p1(esk2_0)
| ~ p2(esk2_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_60,negated_conjecture,
( ~ p3(esk2_0)
| ~ p4(esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
cnf(c_0_61,negated_conjecture,
( ~ p5(esk2_0)
| ~ p4(esk2_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_32]) ).
cnf(c_0_62,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_52,c_0_53,c_0_54,c_0_55,c_0_56,c_0_57,c_0_58,c_0_59,c_0_60,c_0_61,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL668+1.001 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.09 % 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
% 0.11/0.30 % Computer : n018.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon May 4 22:54:02 EDT 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.31 % start to proof: theBenchmark
% 3.39/2.96 % Version : CSE_E---1.7
% 3.39/2.96 % Problem : theBenchmark.p
% 3.39/2.96 % SZS status Theorem for theBenchmark.p
% 3.39/2.96 % SZS output start CNFRefutation
% See solution above
% 3.39/2.97 % Total time : 2.370s
%------------------------------------------------------------------------------