%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL686+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 : n028.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 04:44:50 PM UTC 2026
% Result : Theorem 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 667 ( 0 equ)
% Maximal formula atoms : 214 ( 31 avg)
% Number of connectives : 1152 ( 506 ~; 416 |; 228 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 85 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-1 aty)
% Number of variables : 125 ( 0 sgn 111 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X1] :
( ~ r1(X2,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)
| ! [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)
| ! [X2] :
( ~ r1(X1,X2)
| ~ $true )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(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)
| ! [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)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1] :
( epred1_1(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)
| ! [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)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_2]) ).
fof(c_0_5,plain,
! [X50,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76] :
( ( r1(X50,esk5_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk5_1(X50),esk6_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk6_1(X50),esk7_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk7_1(X50),esk8_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk8_1(X50),esk9_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk9_1(X50),esk10_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk10_1(X50),esk11_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk11_1(X50),esk12_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk12_1(X50),esk13_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk13_1(X50),esk14_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk14_1(X50),esk15_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk15_1(X50),esk16_1(X50))
| ~ epred1_1(X50) )
& ( r1(esk16_1(X50),esk17_1(X50))
| ~ epred1_1(X50) )
& ( ~ p14(X64)
| p13(X64)
| ~ r1(esk16_1(X50),X64)
| ~ epred1_1(X50) )
& ( p14(X64)
| ~ p13(X64)
| ~ r1(esk16_1(X50),X64)
| ~ epred1_1(X50) )
& ( ~ p13(X65)
| p12(X65)
| ~ r1(esk15_1(X50),X65)
| ~ epred1_1(X50) )
& ( p13(X65)
| ~ p12(X65)
| ~ r1(esk15_1(X50),X65)
| ~ epred1_1(X50) )
& ( ~ p12(X66)
| p11(X66)
| ~ r1(esk14_1(X50),X66)
| ~ epred1_1(X50) )
& ( p12(X66)
| ~ p11(X66)
| ~ r1(esk14_1(X50),X66)
| ~ epred1_1(X50) )
& ( ~ p11(X67)
| p10(X67)
| ~ r1(esk13_1(X50),X67)
| ~ epred1_1(X50) )
& ( p11(X67)
| ~ p10(X67)
| ~ r1(esk13_1(X50),X67)
| ~ epred1_1(X50) )
& ( ~ p10(X68)
| p9(X68)
| ~ r1(esk12_1(X50),X68)
| ~ epred1_1(X50) )
& ( p10(X68)
| ~ p9(X68)
| ~ r1(esk12_1(X50),X68)
| ~ epred1_1(X50) )
& ( ~ p9(X69)
| p8(X69)
| ~ r1(esk11_1(X50),X69)
| ~ epred1_1(X50) )
& ( p9(X69)
| ~ p8(X69)
| ~ r1(esk11_1(X50),X69)
| ~ epred1_1(X50) )
& ( ~ p8(X70)
| p7(X70)
| ~ r1(esk10_1(X50),X70)
| ~ epred1_1(X50) )
& ( p8(X70)
| ~ p7(X70)
| ~ r1(esk10_1(X50),X70)
| ~ epred1_1(X50) )
& ( ~ p7(X71)
| p6(X71)
| ~ r1(esk9_1(X50),X71)
| ~ epred1_1(X50) )
& ( p7(X71)
| ~ p6(X71)
| ~ r1(esk9_1(X50),X71)
| ~ epred1_1(X50) )
& ( ~ p6(X72)
| p5(X72)
| ~ r1(esk8_1(X50),X72)
| ~ epred1_1(X50) )
& ( p6(X72)
| ~ p5(X72)
| ~ r1(esk8_1(X50),X72)
| ~ epred1_1(X50) )
& ( ~ p5(X73)
| p4(X73)
| ~ r1(esk7_1(X50),X73)
| ~ epred1_1(X50) )
& ( p5(X73)
| ~ p4(X73)
| ~ r1(esk7_1(X50),X73)
| ~ epred1_1(X50) )
& ( ~ p4(X74)
| p3(X74)
| ~ r1(esk6_1(X50),X74)
| ~ epred1_1(X50) )
& ( p4(X74)
| ~ p3(X74)
| ~ r1(esk6_1(X50),X74)
| ~ epred1_1(X50) )
& ( ~ p3(X75)
| p2(X75)
| ~ r1(esk5_1(X50),X75)
| ~ epred1_1(X50) )
& ( p3(X75)
| ~ p2(X75)
| ~ r1(esk5_1(X50),X75)
| ~ epred1_1(X50) )
& ( ~ p2(X76)
| p1(X76)
| ~ r1(X50,X76)
| ~ epred1_1(X50) )
& ( p2(X76)
| ~ p1(X76)
| ~ r1(X50,X76)
| ~ epred1_1(X50) )
& ( r1(X50,esk18_1(X50))
| ~ epred1_1(X50) )
& ( ~ p15(esk18_1(X50))
| ~ epred1_1(X50) )
& ( r1(X50,esk19_1(X50))
| ~ epred1_1(X50) )
& ( p13(esk19_1(X50))
| p14(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p14(esk19_1(X50))
| ~ p13(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p12(esk19_1(X50))
| p13(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p13(esk19_1(X50))
| ~ p12(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p11(esk19_1(X50))
| p12(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p12(esk19_1(X50))
| ~ p11(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p10(esk19_1(X50))
| p11(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p11(esk19_1(X50))
| ~ p10(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p9(esk19_1(X50))
| p10(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p10(esk19_1(X50))
| ~ p9(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p8(esk19_1(X50))
| p9(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p9(esk19_1(X50))
| ~ p8(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p7(esk19_1(X50))
| p8(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p8(esk19_1(X50))
| ~ p7(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p6(esk19_1(X50))
| p7(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p7(esk19_1(X50))
| ~ p6(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p5(esk19_1(X50))
| p6(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p6(esk19_1(X50))
| ~ p5(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p4(esk19_1(X50))
| p5(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p5(esk19_1(X50))
| ~ p4(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p3(esk19_1(X50))
| p4(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p4(esk19_1(X50))
| ~ p3(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p2(esk19_1(X50))
| p3(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p3(esk19_1(X50))
| ~ p2(esk19_1(X50))
| ~ epred1_1(X50) )
& ( p1(esk19_1(X50))
| p2(esk19_1(X50))
| ~ epred1_1(X50) )
& ( ~ p2(esk19_1(X50))
| ~ p1(esk19_1(X50))
| ~ epred1_1(X50) ) ),
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_3])])])])]) ).
fof(c_0_6,plain,
! [X41] : r1(X41,X41),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_7,negated_conjecture,
! [X49] :
( r1(esk1_0,esk2_0)
& p15(esk2_0)
& r1(esk2_0,esk3_0)
& p1(esk3_0)
& r1(esk1_0,esk4_0)
& ( ~ r1(esk4_0,X49)
| epred1_1(X49) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_8,plain,
( p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( p2(X1)
| ~ p1(X1)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( r1(X1,esk19_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( p1(esk19_1(X1))
| p2(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( ~ p2(esk19_1(X1))
| ~ p1(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( p1(X1)
| ~ epred1_1(X1)
| ~ p2(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_16,plain,
( p2(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_17,negated_conjecture,
epred1_1(esk4_0),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_18,plain,
( ~ epred1_1(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
epred1_1(esk19_1(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11]),c_0_17])]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL686+1.005 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n028.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 : Mon May 4 22:59:46 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Theorem for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------