%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL674+1.010 : 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 : n003.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 04:44:44 PM UTC 2026
% Result : Theorem 2.67s 3.00s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 49 ( 11 unt; 0 def)
% Number of atoms : 1284 ( 0 equ)
% Maximal formula atoms : 485 ( 26 avg)
% Number of connectives : 2205 ( 970 ~; 806 |; 426 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 8 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 : 187 ( 0 sgn 165 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(X2)
<=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_3]) ).
fof(c_0_5,plain,
! [X2] :
( epred1_1(X2)
=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_6,negated_conjecture,
! [X58,X59] :
( ( ~ r1(esk1_0,X58)
| p5(X58) )
& ( ~ r1(esk1_0,X59)
| epred1_1(X59) )
& ~ 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_4])])])]) ).
fof(c_0_7,plain,
! [X53] : r1(X53,X53),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_8,plain,
! [X60,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,X102] :
( ( r1(X60,esk2_1(X60))
| p110(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( ~ p11(esk2_1(X60))
| p110(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( ~ p111(esk2_1(X60))
| p110(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( p110(esk2_1(X60))
| p110(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk3_1(X60))
| p110(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( p11(esk3_1(X60))
| p110(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( ~ p111(esk3_1(X60))
| p110(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( p110(esk3_1(X60))
| p110(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk4_1(X60))
| p109(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( ~ p10(esk4_1(X60))
| p109(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( ~ p110(esk4_1(X60))
| p109(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( p109(esk4_1(X60))
| p109(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk5_1(X60))
| p109(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( p10(esk5_1(X60))
| p109(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( ~ p110(esk5_1(X60))
| p109(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( p109(esk5_1(X60))
| p109(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk6_1(X60))
| p108(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( ~ p9(esk6_1(X60))
| p108(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( ~ p109(esk6_1(X60))
| p108(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( p108(esk6_1(X60))
| p108(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk7_1(X60))
| p108(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( p9(esk7_1(X60))
| p108(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( ~ p109(esk7_1(X60))
| p108(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( p108(esk7_1(X60))
| p108(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk8_1(X60))
| p107(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( ~ p8(esk8_1(X60))
| p107(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( ~ p108(esk8_1(X60))
| p107(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( p107(esk8_1(X60))
| p107(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk9_1(X60))
| p107(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( p8(esk9_1(X60))
| p107(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( ~ p108(esk9_1(X60))
| p107(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( p107(esk9_1(X60))
| p107(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk10_1(X60))
| p106(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( ~ p7(esk10_1(X60))
| p106(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( ~ p107(esk10_1(X60))
| p106(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( p106(esk10_1(X60))
| p106(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk11_1(X60))
| p106(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( p7(esk11_1(X60))
| p106(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( ~ p107(esk11_1(X60))
| p106(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( p106(esk11_1(X60))
| p106(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk12_1(X60))
| p105(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( ~ p6(esk12_1(X60))
| p105(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( ~ p106(esk12_1(X60))
| p105(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( p105(esk12_1(X60))
| p105(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk13_1(X60))
| p105(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( p6(esk13_1(X60))
| p105(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( ~ p106(esk13_1(X60))
| p105(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( p105(esk13_1(X60))
| p105(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk14_1(X60))
| p104(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( ~ p5(esk14_1(X60))
| p104(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( ~ p105(esk14_1(X60))
| p104(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( p104(esk14_1(X60))
| p104(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk15_1(X60))
| p104(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( p5(esk15_1(X60))
| p104(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( ~ p105(esk15_1(X60))
| p104(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( p104(esk15_1(X60))
| p104(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk16_1(X60))
| p103(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( ~ p4(esk16_1(X60))
| p103(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( ~ p104(esk16_1(X60))
| p103(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( p103(esk16_1(X60))
| p103(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk17_1(X60))
| p103(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( p4(esk17_1(X60))
| p103(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( ~ p104(esk17_1(X60))
| p103(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( p103(esk17_1(X60))
| p103(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk18_1(X60))
| p102(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( ~ p3(esk18_1(X60))
| p102(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( ~ p103(esk18_1(X60))
| p102(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( p102(esk18_1(X60))
| p102(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk19_1(X60))
| p102(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( p3(esk19_1(X60))
| p102(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( ~ p103(esk19_1(X60))
| p102(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( p102(esk19_1(X60))
| p102(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk20_1(X60))
| p101(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( ~ p2(esk20_1(X60))
| p101(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( ~ p102(esk20_1(X60))
| p101(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( p101(esk20_1(X60))
| p101(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( r1(X60,esk21_1(X60))
| p101(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( p2(esk21_1(X60))
| p101(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( ~ p102(esk21_1(X60))
| p101(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( p101(esk21_1(X60))
| p101(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X81)
| ~ p11(X81)
| ~ p110(X81)
| p11(X60)
| ~ p110(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X82)
| p11(X82)
| ~ p110(X82)
| ~ p11(X60)
| ~ p110(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X83)
| ~ p10(X83)
| ~ p109(X83)
| p10(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X84)
| p10(X84)
| ~ p109(X84)
| ~ p10(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X85)
| ~ p9(X85)
| ~ p108(X85)
| p9(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X86)
| p9(X86)
| ~ p108(X86)
| ~ p9(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X87)
| ~ p8(X87)
| ~ p107(X87)
| p8(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X88)
| p8(X88)
| ~ p107(X88)
| ~ p8(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X89)
| ~ p7(X89)
| ~ p106(X89)
| p7(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X90)
| p7(X90)
| ~ p106(X90)
| ~ p7(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X91)
| ~ p6(X91)
| ~ p105(X91)
| p6(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X92)
| p6(X92)
| ~ p105(X92)
| ~ p6(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X93)
| ~ p5(X93)
| ~ p104(X93)
| p5(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X94)
| p5(X94)
| ~ p104(X94)
| ~ p5(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X95)
| ~ p4(X95)
| ~ p103(X95)
| p4(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X96)
| p4(X96)
| ~ p103(X96)
| ~ p4(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X97)
| ~ p3(X97)
| ~ p102(X97)
| p3(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X98)
| p3(X98)
| ~ p102(X98)
| ~ p3(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X99)
| ~ p2(X99)
| ~ p101(X99)
| p2(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X100)
| p2(X100)
| ~ p101(X100)
| ~ p2(X60)
| ~ p101(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X101)
| ~ p1(X101)
| ~ p100(X101)
| p1(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( ~ r1(X60,X102)
| p1(X102)
| ~ p100(X102)
| ~ p1(X60)
| ~ p100(X60)
| ~ epred1_1(X60) )
& ( p110(X60)
| ~ p111(X60)
| ~ epred1_1(X60) )
& ( p109(X60)
| ~ p110(X60)
| ~ epred1_1(X60) )
& ( p108(X60)
| ~ p109(X60)
| ~ epred1_1(X60) )
& ( p107(X60)
| ~ p108(X60)
| ~ epred1_1(X60) )
& ( p106(X60)
| ~ p107(X60)
| ~ epred1_1(X60) )
& ( p105(X60)
| ~ p106(X60)
| ~ epred1_1(X60) )
& ( p104(X60)
| ~ p105(X60)
| ~ epred1_1(X60) )
& ( p103(X60)
| ~ p104(X60)
| ~ epred1_1(X60) )
& ( p102(X60)
| ~ p103(X60)
| ~ epred1_1(X60) )
& ( p101(X60)
| ~ p102(X60)
| ~ epred1_1(X60) )
& ( p100(X60)
| ~ p101(X60)
| ~ epred1_1(X60) ) ),
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_5])])])])]) ).
cnf(c_0_9,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( r1(X1,esk21_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
r1(esk1_0,esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_16,plain,
( p101(esk21_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
! [X54,X55,X56] :
( ~ r1(X54,X55)
| ~ r1(X55,X56)
| r1(X54,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).
cnf(c_0_18,plain,
( r1(X1,esk18_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
epred1_1(esk21_1(esk1_0)),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p101(esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_21,plain,
( r1(X1,X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( p102(esk21_1(esk1_0))
| r1(esk21_1(esk1_0),esk18_1(esk21_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_23,negated_conjecture,
( p102(esk21_1(esk1_0))
| r1(X1,esk18_1(esk21_1(esk1_0)))
| ~ r1(X1,esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( p102(esk21_1(esk1_0))
| r1(esk1_0,esk18_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_25,plain,
( p102(esk18_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
( r1(X1,esk16_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( epred1_1(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_24]) ).
cnf(c_0_28,plain,
( p102(esk18_1(esk21_1(esk1_0)))
| p102(esk21_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_20])]) ).
cnf(c_0_29,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| r1(esk18_1(esk21_1(esk1_0)),esk16_1(esk18_1(esk21_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_30,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| r1(X1,esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ r1(X1,esk18_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| r1(esk1_0,esk16_1(esk18_1(esk21_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_32,plain,
( p103(esk16_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,plain,
( r1(X1,esk14_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,negated_conjecture,
( epred1_1(esk16_1(esk18_1(esk21_1(esk1_0))))
| p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_31]) ).
cnf(c_0_35,plain,
( p102(esk21_1(esk1_0))
| p103(esk16_1(esk18_1(esk21_1(esk1_0))))
| p103(esk18_1(esk21_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_28]) ).
cnf(c_0_36,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| r1(esk16_1(esk18_1(esk21_1(esk1_0))),esk14_1(esk16_1(esk18_1(esk21_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_37,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| r1(X1,esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| ~ r1(X1,esk16_1(esk18_1(esk21_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_21,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_39,negated_conjecture,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| r1(esk1_0,esk14_1(esk16_1(esk18_1(esk21_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_40,plain,
( p104(X1)
| ~ p5(esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk21_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( p103(X1)
| ~ p104(esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_43,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0)))
| p104(esk16_1(esk18_1(esk21_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35]),c_0_34]) ).
cnf(c_0_44,plain,
( p102(X1)
| ~ p103(esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_45,plain,
( p102(esk21_1(esk1_0))
| p103(esk18_1(esk21_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_28]),c_0_27]) ).
cnf(c_0_46,plain,
( p101(X1)
| ~ p102(esk21_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_47,plain,
p102(esk21_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_19]),c_0_20])]) ).
cnf(c_0_48,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.19 % Problem : LCL674+1.010 : TPTP v9.2.1. Released v4.0.0.
% 0.02/0.19 % 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
% 0.12/0.43 % Computer : n003.cluster.edu
% 0.12/0.43 % Model : x86_64 x86_64
% 0.12/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.43 % Memory : 8042.1875MB
% 0.12/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.43 % CPULimit : 300
% 0.12/0.43 % WCLimit : 300
% 0.12/0.43 % DateTime : Mon May 4 22:56:26 EDT 2026
% 0.12/0.44 % CPUTime :
% 0.15/0.46 % start to proof: theBenchmark
% 2.67/3.00 % Version : CSE_E---1.7
% 2.67/3.00 % Problem : theBenchmark.p
% 2.67/3.00 % SZS status Theorem for theBenchmark.p
% 2.67/3.00 % SZS output start CNFRefutation
% See solution above
% 2.67/3.00 % Total time : 2.379s
%------------------------------------------------------------------------------