%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL656+1.010 : 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 : n005.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 1.65s 1.82s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 61 ( 11 unt; 0 def)
% Number of atoms : 1445 ( 0 equ)
% Maximal formula atoms : 485 ( 23 avg)
% Number of connectives : 2513 (1129 ~; 957 |; 425 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 10 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 1 con; 0-1 aty)
% Number of variables : 341 ( 0 sgn 213 !; 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)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(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)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) ) ) ) ) ) ) )
& ~ 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,
! [X1] :
( epred1_1(X1)
<=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
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)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(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)
| epred1_1(X1) ) ) ) ) ) ) ) ) ) )
& ~ 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,
! [X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88] :
( ( ~ r1(esk1_0,X69)
| ~ r1(X69,X70)
| ~ r1(X70,X71)
| ~ r1(X71,X72)
| ~ r1(X72,X73)
| ~ r1(X73,X74)
| ~ r1(X74,X75)
| ~ r1(X75,X76)
| ~ r1(X76,X77)
| ~ r1(X77,X78)
| p5(X78) )
& ( ~ r1(esk1_0,X79)
| ~ r1(X79,X80)
| ~ r1(X80,X81)
| ~ r1(X81,X82)
| ~ r1(X82,X83)
| ~ r1(X83,X84)
| ~ r1(X84,X85)
| ~ r1(X85,X86)
| ~ r1(X86,X87)
| ~ r1(X87,X88)
| epred1_1(X88) )
& ~ 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,
! [X67] : r1(X67,X67),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X10)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10) ),
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(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X2,X9) ),
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(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X2,X8) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( epred1_1(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_14,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( p5(X10)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_16,plain,
! [X1] :
( epred1_1(X1)
=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_18,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X2,X9) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
fof(c_0_19,plain,
! [X89,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131] :
( ( r1(X89,esk2_1(X89))
| p110(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( ~ p11(esk2_1(X89))
| p110(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( ~ p111(esk2_1(X89))
| p110(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( p110(esk2_1(X89))
| p110(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk3_1(X89))
| p110(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( p11(esk3_1(X89))
| p110(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( ~ p111(esk3_1(X89))
| p110(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( p110(esk3_1(X89))
| p110(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk4_1(X89))
| p109(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( ~ p10(esk4_1(X89))
| p109(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( ~ p110(esk4_1(X89))
| p109(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( p109(esk4_1(X89))
| p109(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk5_1(X89))
| p109(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( p10(esk5_1(X89))
| p109(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( ~ p110(esk5_1(X89))
| p109(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( p109(esk5_1(X89))
| p109(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk6_1(X89))
| p108(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( ~ p9(esk6_1(X89))
| p108(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( ~ p109(esk6_1(X89))
| p108(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( p108(esk6_1(X89))
| p108(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk7_1(X89))
| p108(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( p9(esk7_1(X89))
| p108(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( ~ p109(esk7_1(X89))
| p108(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( p108(esk7_1(X89))
| p108(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk8_1(X89))
| p107(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( ~ p8(esk8_1(X89))
| p107(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( ~ p108(esk8_1(X89))
| p107(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( p107(esk8_1(X89))
| p107(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk9_1(X89))
| p107(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( p8(esk9_1(X89))
| p107(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( ~ p108(esk9_1(X89))
| p107(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( p107(esk9_1(X89))
| p107(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk10_1(X89))
| p106(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( ~ p7(esk10_1(X89))
| p106(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( ~ p107(esk10_1(X89))
| p106(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( p106(esk10_1(X89))
| p106(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk11_1(X89))
| p106(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( p7(esk11_1(X89))
| p106(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( ~ p107(esk11_1(X89))
| p106(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( p106(esk11_1(X89))
| p106(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk12_1(X89))
| p105(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( ~ p6(esk12_1(X89))
| p105(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( ~ p106(esk12_1(X89))
| p105(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( p105(esk12_1(X89))
| p105(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk13_1(X89))
| p105(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( p6(esk13_1(X89))
| p105(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( ~ p106(esk13_1(X89))
| p105(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( p105(esk13_1(X89))
| p105(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk14_1(X89))
| p104(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( ~ p5(esk14_1(X89))
| p104(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( ~ p105(esk14_1(X89))
| p104(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( p104(esk14_1(X89))
| p104(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk15_1(X89))
| p104(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( p5(esk15_1(X89))
| p104(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( ~ p105(esk15_1(X89))
| p104(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( p104(esk15_1(X89))
| p104(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk16_1(X89))
| p103(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( ~ p4(esk16_1(X89))
| p103(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( ~ p104(esk16_1(X89))
| p103(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( p103(esk16_1(X89))
| p103(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk17_1(X89))
| p103(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( p4(esk17_1(X89))
| p103(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( ~ p104(esk17_1(X89))
| p103(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( p103(esk17_1(X89))
| p103(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk18_1(X89))
| p102(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( ~ p3(esk18_1(X89))
| p102(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( ~ p103(esk18_1(X89))
| p102(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( p102(esk18_1(X89))
| p102(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk19_1(X89))
| p102(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( p3(esk19_1(X89))
| p102(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( ~ p103(esk19_1(X89))
| p102(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( p102(esk19_1(X89))
| p102(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk20_1(X89))
| p101(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( ~ p2(esk20_1(X89))
| p101(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( ~ p102(esk20_1(X89))
| p101(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( p101(esk20_1(X89))
| p101(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( r1(X89,esk21_1(X89))
| p101(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( p2(esk21_1(X89))
| p101(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( ~ p102(esk21_1(X89))
| p101(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( p101(esk21_1(X89))
| p101(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X110)
| ~ p11(X110)
| ~ p110(X110)
| p11(X89)
| ~ p110(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X111)
| p11(X111)
| ~ p110(X111)
| ~ p11(X89)
| ~ p110(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X112)
| ~ p10(X112)
| ~ p109(X112)
| p10(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X113)
| p10(X113)
| ~ p109(X113)
| ~ p10(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X114)
| ~ p9(X114)
| ~ p108(X114)
| p9(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X115)
| p9(X115)
| ~ p108(X115)
| ~ p9(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X116)
| ~ p8(X116)
| ~ p107(X116)
| p8(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X117)
| p8(X117)
| ~ p107(X117)
| ~ p8(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X118)
| ~ p7(X118)
| ~ p106(X118)
| p7(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X119)
| p7(X119)
| ~ p106(X119)
| ~ p7(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X120)
| ~ p6(X120)
| ~ p105(X120)
| p6(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X121)
| p6(X121)
| ~ p105(X121)
| ~ p6(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X122)
| ~ p5(X122)
| ~ p104(X122)
| p5(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X123)
| p5(X123)
| ~ p104(X123)
| ~ p5(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X124)
| ~ p4(X124)
| ~ p103(X124)
| p4(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X125)
| p4(X125)
| ~ p103(X125)
| ~ p4(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X126)
| ~ p3(X126)
| ~ p102(X126)
| p3(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X127)
| p3(X127)
| ~ p102(X127)
| ~ p3(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X128)
| ~ p2(X128)
| ~ p101(X128)
| p2(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X129)
| p2(X129)
| ~ p101(X129)
| ~ p2(X89)
| ~ p101(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X130)
| ~ p1(X130)
| ~ p100(X130)
| p1(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( ~ r1(X89,X131)
| p1(X131)
| ~ p100(X131)
| ~ p1(X89)
| ~ p100(X89)
| ~ epred1_1(X89) )
& ( p110(X89)
| ~ p111(X89)
| ~ epred1_1(X89) )
& ( p109(X89)
| ~ p110(X89)
| ~ epred1_1(X89) )
& ( p108(X89)
| ~ p109(X89)
| ~ epred1_1(X89) )
& ( p107(X89)
| ~ p108(X89)
| ~ epred1_1(X89) )
& ( p106(X89)
| ~ p107(X89)
| ~ epred1_1(X89) )
& ( p105(X89)
| ~ p106(X89)
| ~ epred1_1(X89) )
& ( p104(X89)
| ~ p105(X89)
| ~ epred1_1(X89) )
& ( p103(X89)
| ~ p104(X89)
| ~ epred1_1(X89) )
& ( p102(X89)
| ~ p103(X89)
| ~ epred1_1(X89) )
& ( p101(X89)
| ~ p102(X89)
| ~ epred1_1(X89) )
& ( p100(X89)
| ~ p101(X89)
| ~ epred1_1(X89) ) ),
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_16])])])])]) ).
cnf(c_0_20,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X2,X8) ),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_22,plain,
( r1(X1,esk20_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_24,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
cnf(c_0_27,plain,
r1(esk1_0,esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_28,plain,
( p101(esk20_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_26,c_0_7]) ).
cnf(c_0_30,plain,
( r1(X1,esk18_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,negated_conjecture,
epred1_1(esk20_1(esk1_0)),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_32,plain,
p101(esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_29,c_0_7]) ).
cnf(c_0_34,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk20_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_35,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk18_1(esk20_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_36,plain,
( p102(esk18_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_37,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_7]) ).
cnf(c_0_38,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk20_1(esk1_0),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_27]) ).
cnf(c_0_39,plain,
( r1(X1,esk16_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_40,negated_conjecture,
( epred1_1(esk18_1(esk20_1(esk1_0)))
| p102(esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( p102(esk18_1(esk20_1(esk1_0)))
| p102(esk20_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_31]),c_0_32])]) ).
cnf(c_0_42,negated_conjecture,
( p5(X1)
| ~ r1(esk20_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_27]) ).
cnf(c_0_43,negated_conjecture,
( epred1_1(X1)
| p102(esk20_1(esk1_0))
| ~ r1(esk18_1(esk20_1(esk1_0)),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_44,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_45,plain,
( p103(esk16_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_46,negated_conjecture,
( p102(esk20_1(esk1_0))
| p5(X1)
| ~ r1(esk18_1(esk20_1(esk1_0)),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_47,plain,
( r1(X1,esk14_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_48,negated_conjecture,
( epred1_1(esk16_1(esk18_1(esk20_1(esk1_0))))
| p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( p102(esk20_1(esk1_0))
| p103(esk16_1(esk18_1(esk20_1(esk1_0))))
| p103(esk18_1(esk20_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p5(X1)
| ~ r1(esk16_1(esk18_1(esk20_1(esk1_0))),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_51,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| r1(esk16_1(esk18_1(esk20_1(esk1_0))),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_52,plain,
( p104(X1)
| ~ p5(esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_53,negated_conjecture,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,plain,
( p103(X1)
| ~ p104(esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_55,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_49]),c_0_48]) ).
cnf(c_0_56,plain,
( p102(X1)
| ~ p103(esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_57,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_41]),c_0_40]) ).
cnf(c_0_58,plain,
( p101(X1)
| ~ p102(esk20_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_59,plain,
p102(esk20_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_31]),c_0_32])]) ).
cnf(c_0_60,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL656+1.010 : 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
% 0.13/0.32 % Computer : n005.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon May 4 22:50:15 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.35 % start to proof: theBenchmark
% 1.65/1.82 % Version : CSE_E---1.7
% 1.65/1.82 % Problem : theBenchmark.p
% 1.65/1.82 % SZS status Theorem for theBenchmark.p
% 1.65/1.82 % SZS output start CNFRefutation
% See solution above
% 1.65/1.82 % Total time : 1.377s
%------------------------------------------------------------------------------