%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL674+1.015 : 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 : n013.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 30.98s 16.73s
% Output : CNFRefutation 30.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 4
% Syntax : Number of formulae : 67 ( 11 unt; 0 def)
% Number of atoms : 1922 ( 0 equ)
% Maximal formula atoms : 720 ( 28 avg)
% Number of connectives : 3281 (1426 ~;1221 |; 631 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 204 ( 9 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 36 ( 35 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 1 con; 0-1 aty)
% Number of variables : 265 ( 0 sgn 235 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p7(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(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)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(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) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(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/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(X2)
<=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(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)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(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) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(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)
| p7(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)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(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)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(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) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(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,
! [X78,X79] :
( ( ~ r1(esk1_0,X78)
| p7(X78) )
& ( ~ r1(esk1_0,X79)
| epred1_1(X79) )
& ~ 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,
! [X73] : r1(X73,X73),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_8,plain,
! [X80,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142] :
( ( r1(X80,esk2_1(X80))
| p115(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( ~ p16(esk2_1(X80))
| p115(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( ~ p116(esk2_1(X80))
| p115(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( p115(esk2_1(X80))
| p115(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk3_1(X80))
| p115(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( p16(esk3_1(X80))
| p115(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( ~ p116(esk3_1(X80))
| p115(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( p115(esk3_1(X80))
| p115(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk4_1(X80))
| p114(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( ~ p15(esk4_1(X80))
| p114(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( ~ p115(esk4_1(X80))
| p114(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( p114(esk4_1(X80))
| p114(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk5_1(X80))
| p114(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( p15(esk5_1(X80))
| p114(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( ~ p115(esk5_1(X80))
| p114(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( p114(esk5_1(X80))
| p114(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk6_1(X80))
| p113(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( ~ p14(esk6_1(X80))
| p113(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( ~ p114(esk6_1(X80))
| p113(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( p113(esk6_1(X80))
| p113(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk7_1(X80))
| p113(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( p14(esk7_1(X80))
| p113(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( ~ p114(esk7_1(X80))
| p113(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( p113(esk7_1(X80))
| p113(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk8_1(X80))
| p112(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( ~ p13(esk8_1(X80))
| p112(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( ~ p113(esk8_1(X80))
| p112(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( p112(esk8_1(X80))
| p112(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk9_1(X80))
| p112(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( p13(esk9_1(X80))
| p112(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( ~ p113(esk9_1(X80))
| p112(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( p112(esk9_1(X80))
| p112(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk10_1(X80))
| p111(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( ~ p12(esk10_1(X80))
| p111(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( ~ p112(esk10_1(X80))
| p111(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( p111(esk10_1(X80))
| p111(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk11_1(X80))
| p111(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( p12(esk11_1(X80))
| p111(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( ~ p112(esk11_1(X80))
| p111(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( p111(esk11_1(X80))
| p111(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk12_1(X80))
| p110(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( ~ p11(esk12_1(X80))
| p110(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( ~ p111(esk12_1(X80))
| p110(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( p110(esk12_1(X80))
| p110(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk13_1(X80))
| p110(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( p11(esk13_1(X80))
| p110(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( ~ p111(esk13_1(X80))
| p110(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( p110(esk13_1(X80))
| p110(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk14_1(X80))
| p109(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( ~ p10(esk14_1(X80))
| p109(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( ~ p110(esk14_1(X80))
| p109(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( p109(esk14_1(X80))
| p109(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk15_1(X80))
| p109(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( p10(esk15_1(X80))
| p109(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( ~ p110(esk15_1(X80))
| p109(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( p109(esk15_1(X80))
| p109(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk16_1(X80))
| p108(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( ~ p9(esk16_1(X80))
| p108(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( ~ p109(esk16_1(X80))
| p108(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( p108(esk16_1(X80))
| p108(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk17_1(X80))
| p108(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( p9(esk17_1(X80))
| p108(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( ~ p109(esk17_1(X80))
| p108(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( p108(esk17_1(X80))
| p108(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk18_1(X80))
| p107(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( ~ p8(esk18_1(X80))
| p107(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( ~ p108(esk18_1(X80))
| p107(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( p107(esk18_1(X80))
| p107(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk19_1(X80))
| p107(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( p8(esk19_1(X80))
| p107(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( ~ p108(esk19_1(X80))
| p107(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( p107(esk19_1(X80))
| p107(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk20_1(X80))
| p106(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( ~ p7(esk20_1(X80))
| p106(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( ~ p107(esk20_1(X80))
| p106(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( p106(esk20_1(X80))
| p106(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk21_1(X80))
| p106(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( p7(esk21_1(X80))
| p106(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( ~ p107(esk21_1(X80))
| p106(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( p106(esk21_1(X80))
| p106(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk22_1(X80))
| p105(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( ~ p6(esk22_1(X80))
| p105(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( ~ p106(esk22_1(X80))
| p105(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( p105(esk22_1(X80))
| p105(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk23_1(X80))
| p105(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( p6(esk23_1(X80))
| p105(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( ~ p106(esk23_1(X80))
| p105(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( p105(esk23_1(X80))
| p105(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk24_1(X80))
| p104(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( ~ p5(esk24_1(X80))
| p104(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( ~ p105(esk24_1(X80))
| p104(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( p104(esk24_1(X80))
| p104(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk25_1(X80))
| p104(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( p5(esk25_1(X80))
| p104(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( ~ p105(esk25_1(X80))
| p104(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( p104(esk25_1(X80))
| p104(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk26_1(X80))
| p103(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( ~ p4(esk26_1(X80))
| p103(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( ~ p104(esk26_1(X80))
| p103(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( p103(esk26_1(X80))
| p103(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk27_1(X80))
| p103(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( p4(esk27_1(X80))
| p103(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( ~ p104(esk27_1(X80))
| p103(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( p103(esk27_1(X80))
| p103(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk28_1(X80))
| p102(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( ~ p3(esk28_1(X80))
| p102(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( ~ p103(esk28_1(X80))
| p102(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( p102(esk28_1(X80))
| p102(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk29_1(X80))
| p102(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( p3(esk29_1(X80))
| p102(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( ~ p103(esk29_1(X80))
| p102(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( p102(esk29_1(X80))
| p102(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk30_1(X80))
| p101(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( ~ p2(esk30_1(X80))
| p101(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( ~ p102(esk30_1(X80))
| p101(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( p101(esk30_1(X80))
| p101(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( r1(X80,esk31_1(X80))
| p101(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( p2(esk31_1(X80))
| p101(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( ~ p102(esk31_1(X80))
| p101(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( p101(esk31_1(X80))
| p101(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X111)
| ~ p16(X111)
| ~ p115(X111)
| p16(X80)
| ~ p115(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X112)
| p16(X112)
| ~ p115(X112)
| ~ p16(X80)
| ~ p115(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X113)
| ~ p15(X113)
| ~ p114(X113)
| p15(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X114)
| p15(X114)
| ~ p114(X114)
| ~ p15(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X115)
| ~ p14(X115)
| ~ p113(X115)
| p14(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X116)
| p14(X116)
| ~ p113(X116)
| ~ p14(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X117)
| ~ p13(X117)
| ~ p112(X117)
| p13(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X118)
| p13(X118)
| ~ p112(X118)
| ~ p13(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X119)
| ~ p12(X119)
| ~ p111(X119)
| p12(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X120)
| p12(X120)
| ~ p111(X120)
| ~ p12(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X121)
| ~ p11(X121)
| ~ p110(X121)
| p11(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X122)
| p11(X122)
| ~ p110(X122)
| ~ p11(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X123)
| ~ p10(X123)
| ~ p109(X123)
| p10(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X124)
| p10(X124)
| ~ p109(X124)
| ~ p10(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X125)
| ~ p9(X125)
| ~ p108(X125)
| p9(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X126)
| p9(X126)
| ~ p108(X126)
| ~ p9(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X127)
| ~ p8(X127)
| ~ p107(X127)
| p8(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X128)
| p8(X128)
| ~ p107(X128)
| ~ p8(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X129)
| ~ p7(X129)
| ~ p106(X129)
| p7(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X130)
| p7(X130)
| ~ p106(X130)
| ~ p7(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X131)
| ~ p6(X131)
| ~ p105(X131)
| p6(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X132)
| p6(X132)
| ~ p105(X132)
| ~ p6(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X133)
| ~ p5(X133)
| ~ p104(X133)
| p5(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X134)
| p5(X134)
| ~ p104(X134)
| ~ p5(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X135)
| ~ p4(X135)
| ~ p103(X135)
| p4(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X136)
| p4(X136)
| ~ p103(X136)
| ~ p4(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X137)
| ~ p3(X137)
| ~ p102(X137)
| p3(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X138)
| p3(X138)
| ~ p102(X138)
| ~ p3(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X139)
| ~ p2(X139)
| ~ p101(X139)
| p2(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X140)
| p2(X140)
| ~ p101(X140)
| ~ p2(X80)
| ~ p101(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X141)
| ~ p1(X141)
| ~ p100(X141)
| p1(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( ~ r1(X80,X142)
| p1(X142)
| ~ p100(X142)
| ~ p1(X80)
| ~ p100(X80)
| ~ epred1_1(X80) )
& ( p115(X80)
| ~ p116(X80)
| ~ epred1_1(X80) )
& ( p114(X80)
| ~ p115(X80)
| ~ epred1_1(X80) )
& ( p113(X80)
| ~ p114(X80)
| ~ epred1_1(X80) )
& ( p112(X80)
| ~ p113(X80)
| ~ epred1_1(X80) )
& ( p111(X80)
| ~ p112(X80)
| ~ epred1_1(X80) )
& ( p110(X80)
| ~ p111(X80)
| ~ epred1_1(X80) )
& ( p109(X80)
| ~ p110(X80)
| ~ epred1_1(X80) )
& ( p108(X80)
| ~ p109(X80)
| ~ epred1_1(X80) )
& ( p107(X80)
| ~ p108(X80)
| ~ epred1_1(X80) )
& ( p106(X80)
| ~ p107(X80)
| ~ epred1_1(X80) )
& ( p105(X80)
| ~ p106(X80)
| ~ epred1_1(X80) )
& ( p104(X80)
| ~ p105(X80)
| ~ epred1_1(X80) )
& ( p103(X80)
| ~ p104(X80)
| ~ epred1_1(X80) )
& ( p102(X80)
| ~ p103(X80)
| ~ epred1_1(X80) )
& ( p101(X80)
| ~ p102(X80)
| ~ epred1_1(X80) )
& ( p100(X80)
| ~ p101(X80)
| ~ epred1_1(X80) ) ),
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,esk31_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,esk31_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(esk31_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
! [X74,X75,X76] :
( ~ r1(X74,X75)
| ~ r1(X75,X76)
| r1(X74,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).
cnf(c_0_18,plain,
( r1(X1,esk28_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(esk31_1(esk1_0)),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p101(esk31_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(esk31_1(esk1_0))
| r1(esk31_1(esk1_0),esk28_1(esk31_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(esk31_1(esk1_0))
| r1(X1,esk28_1(esk31_1(esk1_0)))
| ~ r1(X1,esk31_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( p102(esk31_1(esk1_0))
| r1(esk1_0,esk28_1(esk31_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_25,plain,
( p102(esk28_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
( r1(X1,esk26_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(esk28_1(esk31_1(esk1_0)))
| p102(esk31_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_24]) ).
cnf(c_0_28,plain,
( p102(esk28_1(esk31_1(esk1_0)))
| p102(esk31_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(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| r1(esk28_1(esk31_1(esk1_0)),esk26_1(esk28_1(esk31_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(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| r1(X1,esk26_1(esk28_1(esk31_1(esk1_0))))
| ~ r1(X1,esk28_1(esk31_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| r1(esk1_0,esk26_1(esk28_1(esk31_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_32,plain,
( p103(esk26_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,plain,
( r1(X1,esk24_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(esk26_1(esk28_1(esk31_1(esk1_0))))
| p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_31]) ).
cnf(c_0_35,plain,
( p102(esk31_1(esk1_0))
| p103(esk26_1(esk28_1(esk31_1(esk1_0))))
| p103(esk28_1(esk31_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(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| r1(esk26_1(esk28_1(esk31_1(esk1_0))),esk24_1(esk26_1(esk28_1(esk31_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(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| r1(X1,esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| ~ r1(X1,esk26_1(esk28_1(esk31_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_21,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| r1(esk1_0,esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_39,plain,
( p104(esk24_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,plain,
( r1(X1,esk22_1(X1))
| p105(X1)
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
( epred1_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_38]) ).
cnf(c_0_42,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| p104(esk26_1(esk28_1(esk31_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_34]),c_0_35]) ).
cnf(c_0_43,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| r1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))),esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_44,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| r1(X1,esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))
| ~ r1(X1,esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| r1(esk1_0,esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))) ),
inference(spm,[status(thm)],[c_0_44,c_0_38]) ).
cnf(c_0_46,plain,
( p105(esk22_1(X1))
| p105(X1)
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_47,plain,
( r1(X1,esk20_1(X1))
| p106(X1)
| ~ p105(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_48,negated_conjecture,
( epred1_1(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))
| p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_9,c_0_45]) ).
cnf(c_0_49,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_42]) ).
cnf(c_0_50,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| p106(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))
| r1(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))),esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_51,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| p106(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))
| r1(X1,esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))))
| ~ r1(X1,esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_50]) ).
cnf(c_0_52,negated_conjecture,
( p7(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_53,negated_conjecture,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| p106(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))
| r1(esk1_0,esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))) ),
inference(spm,[status(thm)],[c_0_51,c_0_45]) ).
cnf(c_0_54,plain,
( p106(X1)
| ~ p7(esk20_1(X1))
| ~ p105(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_55,negated_conjecture,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| p106(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))
| p7(esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( p105(X1)
| ~ p106(esk22_1(X1))
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_57,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))
| p106(esk22_1(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0)))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_49]),c_0_48]) ).
cnf(c_0_58,plain,
( p104(X1)
| ~ p105(esk24_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_59,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk31_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_42]),c_0_41]) ).
cnf(c_0_60,plain,
( p103(X1)
| ~ p104(esk26_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_61,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0)))
| p104(esk26_1(esk28_1(esk31_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_35]),c_0_34]) ).
cnf(c_0_62,plain,
( p102(X1)
| ~ p103(esk28_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_63,plain,
( p102(esk31_1(esk1_0))
| p103(esk28_1(esk31_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_28]),c_0_27]) ).
cnf(c_0_64,plain,
( p101(X1)
| ~ p102(esk31_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_65,plain,
p102(esk31_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_19]),c_0_20])]) ).
cnf(c_0_66,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL674+1.015 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n013.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 22:56:26 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 30.98/16.73 % Version : CSE_E---1.7
% 30.98/16.73 % Problem : theBenchmark.p
% 30.98/16.73 % SZS status Theorem for theBenchmark.p
% 30.98/16.73 % SZS output start CNFRefutation
% See solution above
% 30.98/16.75 % Total time : 15.392s
%------------------------------------------------------------------------------