%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL652+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 : 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 04:42:40 PM UTC 2026
% Result : Theorem 2.21s 1.81s
% Output : CNFRefutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 2
% Syntax : Number of formulae : 128 ( 20 unt; 0 def)
% Number of atoms : 798 ( 0 equ)
% Maximal formula atoms : 182 ( 6 avg)
% Number of connectives : 1229 ( 559 ~; 597 |; 71 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-3 aty)
% Number of variables : 255 ( 0 sgn 153 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) ) ) ) )
| ( ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(c_0_1,plain,
! [X2] :
( epred1_1(X2)
<=> ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) ) ) ) )
| ( ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_1]) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(X2)
=> ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) ) ) ) )
| ( ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_4,negated_conjecture,
! [X54,X55,X56,X57,X60,X61,X62,X63,X64,X68,X71,X73,X74,X75] :
( ( ~ r1(esk1_0,X54)
| ~ p4(X54) )
& ( r1(X55,esk3_1(X55))
| r1(X57,esk2_3(X55,X56,X57))
| ~ r1(X56,X57)
| ~ r1(X55,X56)
| ~ r1(esk1_0,X55) )
& ( ~ r1(esk3_1(X55),X60)
| ~ p1(X60)
| r1(X57,esk2_3(X55,X56,X57))
| ~ r1(X56,X57)
| ~ r1(X55,X56)
| ~ r1(esk1_0,X55) )
& ( r1(X55,esk3_1(X55))
| p1(esk2_3(X55,X56,X57))
| ~ r1(X56,X57)
| ~ r1(X55,X56)
| ~ r1(esk1_0,X55) )
& ( ~ r1(esk3_1(X55),X60)
| ~ p1(X60)
| p1(esk2_3(X55,X56,X57))
| ~ r1(X56,X57)
| ~ r1(X55,X56)
| ~ r1(esk1_0,X55) )
& ( ~ r1(esk1_0,X61)
| epred1_1(X61) )
& ( r1(X62,esk4_1(X62))
| ~ r1(X62,X63)
| ~ r1(X63,X64)
| p1(X64)
| ~ r1(esk1_0,X62) )
& ( ~ p1(esk4_1(X62))
| ~ r1(X62,X63)
| ~ r1(X63,X64)
| p1(X64)
| ~ r1(esk1_0,X62) )
& r1(esk1_0,esk5_0)
& r1(esk5_0,esk6_0)
& ( ~ r1(esk6_0,X68)
| p1(X68) )
& r1(esk5_0,esk7_0)
& ~ p1(esk7_0)
& r1(esk1_0,esk8_0)
& ( r1(X71,esk9_1(X71))
| ~ r1(esk8_0,X71) )
& ( ~ p2(esk9_1(X71))
| ~ r1(esk8_0,X71) )
& ( r1(X73,esk10_1(X73))
| ~ r1(esk1_0,X73)
| ~ r1(X73,X74)
| ~ r1(X74,X75)
| ~ p1(X75) )
& ( p1(esk10_1(X73))
| ~ r1(esk1_0,X73)
| ~ r1(X73,X74)
| ~ r1(X74,X75)
| ~ p1(X75) ) ),
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_5,plain,
! [X77,X78,X81,X82,X84,X86,X87,X88,X92,X93,X95,X97,X103] :
( ( r1(X78,esk11_2(X77,X78))
| ~ r1(X77,X78)
| ~ epred1_1(X77) )
& ( r1(esk11_2(X77,X78),esk12_2(X77,X78))
| ~ r1(X77,X78)
| ~ epred1_1(X77) )
& ( ~ p3(esk12_2(X77,X78))
| ~ r1(X77,X78)
| ~ epred1_1(X77) )
& ( p2(esk11_2(X77,X78))
| ~ r1(X77,X78)
| ~ epred1_1(X77) )
& ( r1(X84,esk14_3(X77,X81,X84))
| ~ r1(X81,X84)
| r1(X82,esk13_3(X77,X81,X82))
| ~ r1(X81,X82)
| ~ p2(X81)
| ~ r1(X77,X81)
| ~ epred1_1(X77) )
& ( ~ r1(esk14_3(X77,X81,X84),X86)
| ~ p2(X86)
| ~ r1(X81,X84)
| r1(X82,esk13_3(X77,X81,X82))
| ~ r1(X81,X82)
| ~ p2(X81)
| ~ r1(X77,X81)
| ~ epred1_1(X77) )
& ( r1(X84,esk14_3(X77,X81,X84))
| ~ r1(X81,X84)
| ~ p3(esk13_3(X77,X81,X82))
| ~ r1(X81,X82)
| ~ p2(X81)
| ~ r1(X77,X81)
| ~ epred1_1(X77) )
& ( ~ r1(esk14_3(X77,X81,X84),X86)
| ~ p2(X86)
| ~ r1(X81,X84)
| ~ p3(esk13_3(X77,X81,X82))
| ~ r1(X81,X82)
| ~ p2(X81)
| ~ r1(X77,X81)
| ~ epred1_1(X77) )
& ( r1(X84,esk14_3(X77,X81,X84))
| ~ r1(X81,X84)
| p2(X82)
| ~ r1(X81,X82)
| ~ p2(X81)
| ~ r1(X77,X81)
| ~ epred1_1(X77) )
& ( ~ r1(esk14_3(X77,X81,X84),X86)
| ~ p2(X86)
| ~ r1(X81,X84)
| p2(X82)
| ~ r1(X81,X82)
| ~ p2(X81)
| ~ r1(X77,X81)
| ~ epred1_1(X77) )
& ( r1(X77,esk17_1(X77))
| r1(X88,esk15_3(X77,X87,X88))
| ~ r1(X87,X88)
| ~ r1(X77,X87)
| ~ epred1_1(X77) )
& ( ~ r1(esk17_1(X77),X92)
| ~ p2(X92)
| r1(X88,esk15_3(X77,X87,X88))
| ~ r1(X87,X88)
| ~ r1(X77,X87)
| ~ epred1_1(X77) )
& ( r1(X77,esk17_1(X77))
| r1(esk15_3(X77,X87,X88),esk16_3(X77,X87,X88))
| ~ r1(X87,X88)
| ~ r1(X77,X87)
| ~ epred1_1(X77) )
& ( ~ r1(esk17_1(X77),X92)
| ~ p2(X92)
| r1(esk15_3(X77,X87,X88),esk16_3(X77,X87,X88))
| ~ r1(X87,X88)
| ~ r1(X77,X87)
| ~ epred1_1(X77) )
& ( r1(X77,esk17_1(X77))
| ~ p3(esk16_3(X77,X87,X88))
| ~ r1(X87,X88)
| ~ r1(X77,X87)
| ~ epred1_1(X77) )
& ( ~ r1(esk17_1(X77),X92)
| ~ p2(X92)
| ~ p3(esk16_3(X77,X87,X88))
| ~ r1(X87,X88)
| ~ r1(X77,X87)
| ~ epred1_1(X77) )
& ( r1(X77,esk17_1(X77))
| p2(esk15_3(X77,X87,X88))
| ~ r1(X87,X88)
| ~ r1(X77,X87)
| ~ epred1_1(X77) )
& ( ~ r1(esk17_1(X77),X92)
| ~ p2(X92)
| p2(esk15_3(X77,X87,X88))
| ~ r1(X87,X88)
| ~ r1(X77,X87)
| ~ epred1_1(X77) )
& ( r1(X93,esk19_2(X77,X93))
| r1(X93,esk18_2(X77,X93))
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( r1(X97,esk20_3(X77,X93,X97))
| ~ r1(esk19_2(X77,X93),X97)
| r1(X93,esk18_2(X77,X93))
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( r1(esk20_3(X77,X93,X97),esk21_3(X77,X93,X97))
| ~ r1(esk19_2(X77,X93),X97)
| r1(X93,esk18_2(X77,X93))
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( ~ p3(esk21_3(X77,X93,X97))
| ~ r1(esk19_2(X77,X93),X97)
| r1(X93,esk18_2(X77,X93))
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( p2(esk20_3(X77,X93,X97))
| ~ r1(esk19_2(X77,X93),X97)
| r1(X93,esk18_2(X77,X93))
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( r1(X93,esk19_2(X77,X93))
| ~ r1(esk18_2(X77,X93),X95)
| ~ p2(X95)
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( r1(X97,esk20_3(X77,X93,X97))
| ~ r1(esk19_2(X77,X93),X97)
| ~ r1(esk18_2(X77,X93),X95)
| ~ p2(X95)
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( r1(esk20_3(X77,X93,X97),esk21_3(X77,X93,X97))
| ~ r1(esk19_2(X77,X93),X97)
| ~ r1(esk18_2(X77,X93),X95)
| ~ p2(X95)
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( ~ p3(esk21_3(X77,X93,X97))
| ~ r1(esk19_2(X77,X93),X97)
| ~ r1(esk18_2(X77,X93),X95)
| ~ p2(X95)
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( p2(esk20_3(X77,X93,X97))
| ~ r1(esk19_2(X77,X93),X97)
| ~ r1(esk18_2(X77,X93),X95)
| ~ p2(X95)
| ~ r1(X77,X93)
| ~ epred1_1(X77) )
& ( r1(X77,esk24_1(X77))
| r1(X77,esk22_1(X77))
| ~ epred1_1(X77) )
& ( ~ r1(esk24_1(X77),X103)
| ~ p2(X103)
| r1(X77,esk22_1(X77))
| ~ epred1_1(X77) )
& ( r1(X77,esk24_1(X77))
| r1(esk22_1(X77),esk23_1(X77))
| ~ epred1_1(X77) )
& ( ~ r1(esk24_1(X77),X103)
| ~ p2(X103)
| r1(esk22_1(X77),esk23_1(X77))
| ~ epred1_1(X77) )
& ( r1(X77,esk24_1(X77))
| ~ p3(esk23_1(X77))
| ~ epred1_1(X77) )
& ( ~ r1(esk24_1(X77),X103)
| ~ p2(X103)
| ~ p3(esk23_1(X77))
| ~ epred1_1(X77) )
& ( r1(X77,esk24_1(X77))
| p2(esk22_1(X77))
| ~ epred1_1(X77) )
& ( ~ r1(esk24_1(X77),X103)
| ~ p2(X103)
| p2(esk22_1(X77))
| ~ epred1_1(X77) ) ),
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])])])])]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
r1(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( r1(X1,esk24_1(X1))
| r1(X1,esk22_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
epred1_1(esk8_0),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( r1(X1,esk9_1(X1))
| ~ r1(esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( r1(X1,esk14_3(X2,X3,X1))
| p2(X4)
| ~ r1(X3,X1)
| ~ r1(X3,X4)
| ~ p2(X3)
| ~ r1(X2,X3)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( r1(esk22_1(esk8_0),esk9_1(esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(X1,esk14_3(X2,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ epred1_1(X2)
| ~ p2(esk22_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1)
| ~ r1(X2,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( r1(X1,esk24_1(X1))
| p2(esk22_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( r1(X1,esk19_2(X2,X1))
| r1(X1,esk18_2(X2,X1))
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(X1,esk14_3(X2,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ epred1_1(X2)
| ~ r1(esk22_1(esk8_0),X1)
| ~ r1(X2,esk22_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_9])]) ).
cnf(c_0_18,plain,
( r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_9])]) ).
cnf(c_0_19,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( ~ p2(esk9_1(X1))
| ~ r1(esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_11]),c_0_9])]) ).
cnf(c_0_22,plain,
( r1(X1,esk20_3(X2,X3,X1))
| r1(X3,esk18_2(X2,X3))
| ~ r1(esk19_2(X2,X3),X1)
| ~ r1(X2,X3)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]) ).
cnf(c_0_24,plain,
( p2(esk20_3(X1,X2,X3))
| r1(X2,esk18_2(X1,X2))
| ~ r1(esk19_2(X1,X2),X3)
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,plain,
( p2(X5)
| ~ r1(esk14_3(X1,X2,X3),X4)
| ~ p2(X4)
| ~ r1(X2,X3)
| ~ r1(X2,X5)
| ~ p2(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,plain,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_9])]),c_0_11]) ).
cnf(c_0_27,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_23]),c_0_9])]),c_0_11]) ).
cnf(c_0_28,plain,
( p2(X1)
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0))
| ~ p2(esk22_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_9])]),c_0_11]),c_0_18]),c_0_27]) ).
cnf(c_0_29,plain,
( p2(X1)
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_15]),c_0_9])]) ).
cnf(c_0_30,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_13]) ).
cnf(c_0_31,plain,
( r1(X1,esk17_1(X1))
| r1(X2,esk15_3(X1,X3,X2))
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_32,negated_conjecture,
( r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_30]),c_0_11]) ).
cnf(c_0_33,plain,
( r1(X1,esk17_1(X1))
| p2(esk15_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_34,plain,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0))
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
( p2(esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0))
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_36,plain,
( r1(X1,esk19_2(X2,X1))
| ~ r1(esk18_2(X2,X1),X3)
| ~ p2(X3)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_37,plain,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_11]),c_0_9])]) ).
cnf(c_0_38,plain,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_11]),c_0_9])]) ).
cnf(c_0_39,plain,
( r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_9])]),c_0_11]),c_0_38]) ).
cnf(c_0_40,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_39]) ).
cnf(c_0_41,plain,
( r1(X1,esk20_3(X2,X3,X1))
| ~ r1(esk19_2(X2,X3),X1)
| ~ r1(esk18_2(X2,X3),X4)
| ~ p2(X4)
| ~ r1(X2,X3)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_42,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_11]),c_0_9])]) ).
cnf(c_0_43,plain,
( p2(esk20_3(X1,X2,X3))
| ~ r1(esk19_2(X1,X2),X3)
| ~ r1(esk18_2(X1,X2),X4)
| ~ p2(X4)
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_44,plain,
( r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_37]),c_0_9])]),c_0_11]),c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_42]),c_0_11]) ).
cnf(c_0_46,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_37]),c_0_9])]),c_0_11]),c_0_38]) ).
cnf(c_0_47,plain,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_49,plain,
( p2(X1)
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0))
| ~ p2(esk22_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_47]),c_0_9])]),c_0_11]),c_0_39]),c_0_48]) ).
cnf(c_0_50,plain,
( p2(X1)
| r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_15]),c_0_9])]) ).
cnf(c_0_51,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_13]) ).
cnf(c_0_52,plain,
( r1(X1,esk11_2(X2,X1))
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_53,negated_conjecture,
( r1(esk8_0,esk17_1(esk8_0))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_51]),c_0_11]) ).
cnf(c_0_54,plain,
( p2(esk11_2(X1,X2))
| ~ r1(X1,X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_55,plain,
( r1(X3,esk15_3(X1,X4,X3))
| ~ r1(esk17_1(X1),X2)
| ~ p2(X2)
| ~ r1(X4,X3)
| ~ r1(X1,X4)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_56,plain,
( r1(esk17_1(esk8_0),esk11_2(esk8_0,esk17_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_9])]) ).
cnf(c_0_57,plain,
( p2(esk11_2(esk8_0,esk17_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_53]),c_0_9])]) ).
cnf(c_0_58,plain,
( p2(esk15_3(X1,X3,X4))
| ~ r1(esk17_1(X1),X2)
| ~ p2(X2)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_59,plain,
( r1(X1,esk15_3(esk8_0,X2,X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk8_0,X2)
| ~ r1(X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_9])]),c_0_57]) ).
cnf(c_0_60,plain,
( p2(esk15_3(esk8_0,X1,X2))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk8_0,X1)
| ~ r1(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_9])]),c_0_57]) ).
cnf(c_0_61,plain,
( r1(X1,esk15_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_11]) ).
cnf(c_0_62,plain,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_11]) ).
cnf(c_0_63,negated_conjecture,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_32]) ).
cnf(c_0_64,negated_conjecture,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_32]) ).
cnf(c_0_65,plain,
( r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_63]),c_0_9])]),c_0_11]),c_0_64]) ).
cnf(c_0_66,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_65]) ).
cnf(c_0_67,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_11]),c_0_9])]) ).
cnf(c_0_68,plain,
( r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_63]),c_0_9])]),c_0_11]),c_0_64]) ).
cnf(c_0_69,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_67]),c_0_11]) ).
cnf(c_0_70,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_63]),c_0_9])]),c_0_11]),c_0_64]) ).
cnf(c_0_71,plain,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_73,plain,
( p2(X1)
| r1(esk8_0,esk24_1(esk8_0))
| ~ p2(esk22_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_71]),c_0_9])]),c_0_11]),c_0_65]),c_0_72]) ).
cnf(c_0_74,plain,
( p2(X1)
| r1(esk8_0,esk24_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_15]),c_0_9])]) ).
cnf(c_0_75,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk8_0,esk24_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_13]) ).
cnf(c_0_76,negated_conjecture,
r1(esk8_0,esk24_1(esk8_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_75]),c_0_11]) ).
cnf(c_0_77,plain,
( r1(X1,esk22_1(X1))
| ~ r1(esk24_1(X1),X2)
| ~ p2(X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_78,plain,
r1(esk24_1(esk8_0),esk11_2(esk8_0,esk24_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_76]),c_0_9])]) ).
cnf(c_0_79,plain,
p2(esk11_2(esk8_0,esk24_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_76]),c_0_9])]) ).
cnf(c_0_80,plain,
r1(esk8_0,esk22_1(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_9]),c_0_79])]) ).
cnf(c_0_81,plain,
( p2(esk22_1(X1))
| ~ r1(esk24_1(X1),X2)
| ~ p2(X2)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_82,negated_conjecture,
r1(esk22_1(esk8_0),esk9_1(esk22_1(esk8_0))),
inference(spm,[status(thm)],[c_0_10,c_0_80]) ).
cnf(c_0_83,plain,
p2(esk22_1(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_78]),c_0_9]),c_0_79])]) ).
cnf(c_0_84,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(X1,esk14_3(X2,esk22_1(esk8_0),X1))
| ~ epred1_1(X2)
| ~ r1(esk22_1(esk8_0),X1)
| ~ r1(X2,esk22_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_82]),c_0_83])]) ).
cnf(c_0_85,plain,
( r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_80]),c_0_9])]) ).
cnf(c_0_86,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_87,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_80]),c_0_9])]) ).
cnf(c_0_88,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_87]),c_0_80])]) ).
cnf(c_0_89,plain,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_88]),c_0_9]),c_0_80])]) ).
cnf(c_0_90,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_88]),c_0_9]),c_0_80])]) ).
cnf(c_0_91,plain,
( p2(X1)
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_89]),c_0_9]),c_0_83]),c_0_80])]),c_0_85]),c_0_90]) ).
cnf(c_0_92,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))) ),
inference(spm,[status(thm)],[c_0_91,c_0_82]) ).
cnf(c_0_93,negated_conjecture,
r1(esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_92]),c_0_80])]) ).
cnf(c_0_94,plain,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_93]) ).
cnf(c_0_95,plain,
( p2(esk15_3(X1,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_93]) ).
cnf(c_0_96,plain,
( r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_80]),c_0_9])]) ).
cnf(c_0_97,plain,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_80]),c_0_9])]) ).
cnf(c_0_98,plain,
( r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_96]),c_0_9]),c_0_80])]),c_0_97]) ).
cnf(c_0_99,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_98]) ).
cnf(c_0_100,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_80]),c_0_9])]) ).
cnf(c_0_101,plain,
( r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_96]),c_0_9]),c_0_80])]),c_0_97]) ).
cnf(c_0_102,negated_conjecture,
( r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_100]),c_0_80])]) ).
cnf(c_0_103,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),X1))
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_96]),c_0_9]),c_0_80])]),c_0_97]) ).
cnf(c_0_104,plain,
( r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_105,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_103,c_0_102]) ).
cnf(c_0_106,plain,
( p2(X1)
| r1(esk8_0,esk17_1(esk8_0))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_104]),c_0_9]),c_0_83]),c_0_80])]),c_0_98]),c_0_105]) ).
cnf(c_0_107,negated_conjecture,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk8_0,esk17_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_106,c_0_82]) ).
cnf(c_0_108,negated_conjecture,
r1(esk8_0,esk17_1(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_107]),c_0_80])]) ).
cnf(c_0_109,plain,
r1(esk17_1(esk8_0),esk11_2(esk8_0,esk17_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_108]),c_0_9])]) ).
cnf(c_0_110,plain,
p2(esk11_2(esk8_0,esk17_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_108]),c_0_9])]) ).
cnf(c_0_111,plain,
( r1(X1,esk15_3(esk8_0,X2,X1))
| ~ r1(esk8_0,X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_109]),c_0_9]),c_0_110])]) ).
cnf(c_0_112,plain,
( p2(esk15_3(esk8_0,X1,X2))
| ~ r1(esk8_0,X1)
| ~ r1(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_109]),c_0_9]),c_0_110])]) ).
cnf(c_0_113,plain,
( r1(X1,esk15_3(esk8_0,esk22_1(esk8_0),X1))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_80]) ).
cnf(c_0_114,plain,
( p2(esk15_3(esk8_0,esk22_1(esk8_0),X1))
| ~ r1(esk22_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_80]) ).
cnf(c_0_115,negated_conjecture,
r1(esk18_2(esk8_0,esk22_1(esk8_0)),esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))),
inference(spm,[status(thm)],[c_0_113,c_0_93]) ).
cnf(c_0_116,negated_conjecture,
p2(esk15_3(esk8_0,esk22_1(esk8_0),esk18_2(esk8_0,esk22_1(esk8_0)))),
inference(spm,[status(thm)],[c_0_114,c_0_93]) ).
cnf(c_0_117,plain,
r1(esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_115]),c_0_9]),c_0_116]),c_0_80])]) ).
cnf(c_0_118,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(X1,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))
| ~ epred1_1(X1)
| ~ r1(X1,esk22_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_117]) ).
cnf(c_0_119,plain,
( p2(esk9_1(esk22_1(esk8_0)))
| r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_80]),c_0_9])]) ).
cnf(c_0_120,plain,
( r1(X1,esk20_3(esk8_0,esk22_1(esk8_0),X1))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_115]),c_0_9]),c_0_116]),c_0_80])]) ).
cnf(c_0_121,negated_conjecture,
r1(esk19_2(esk8_0,esk22_1(esk8_0)),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_119]),c_0_80])]) ).
cnf(c_0_122,plain,
( p2(esk20_3(esk8_0,esk22_1(esk8_0),X1))
| ~ r1(esk19_2(esk8_0,esk22_1(esk8_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_115]),c_0_9]),c_0_116]),c_0_80])]) ).
cnf(c_0_123,plain,
r1(esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))),esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_124,plain,
p2(esk20_3(esk8_0,esk22_1(esk8_0),esk14_3(esk8_0,esk22_1(esk8_0),esk19_2(esk8_0,esk22_1(esk8_0))))),
inference(spm,[status(thm)],[c_0_122,c_0_121]) ).
cnf(c_0_125,plain,
( p2(X1)
| ~ r1(esk22_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_123]),c_0_9]),c_0_124]),c_0_83]),c_0_117]),c_0_80])]) ).
cnf(c_0_126,negated_conjecture,
p2(esk9_1(esk22_1(esk8_0))),
inference(spm,[status(thm)],[c_0_125,c_0_82]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_126]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : LCL652+1.001 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.08 % 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
% 0.10/0.28 % Computer : n002.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Mon May 4 22:48:31 EDT 2026
% 0.10/0.28 % CPUTime :
% 0.10/0.28 % start to proof: theBenchmark
% 2.21/1.81 % Version : CSE_E---1.7
% 2.21/1.81 % Problem : theBenchmark.p
% 2.21/1.81 % SZS status Theorem for theBenchmark.p
% 2.21/1.81 % SZS output start CNFRefutation
% See solution above
% 2.21/1.82 % Total time : 1.366s
%------------------------------------------------------------------------------