%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL656+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 : n011.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 14.49s 10.25s
% Output : CNFRefutation 14.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 3
% Syntax : Number of formulae : 92 ( 11 unt; 0 def)
% Number of atoms : 2268 ( 0 equ)
% Maximal formula atoms : 720 ( 24 avg)
% Number of connectives : 3935 (1759 ~;1544 |; 630 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 204 ( 11 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 : 593 ( 0 sgn 313 !; 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)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p7(X2) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [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(c_0_2,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_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)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p7(X2) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| 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_2]) ).
fof(c_0_4,negated_conjecture,
! [X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128] :
( ( ~ r1(esk1_0,X99)
| ~ r1(X99,X100)
| ~ r1(X100,X101)
| ~ r1(X101,X102)
| ~ r1(X102,X103)
| ~ r1(X103,X104)
| ~ r1(X104,X105)
| ~ r1(X105,X106)
| ~ r1(X106,X107)
| ~ r1(X107,X108)
| ~ r1(X108,X109)
| ~ r1(X109,X110)
| ~ r1(X110,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| p7(X113) )
& ( ~ r1(esk1_0,X114)
| ~ r1(X114,X115)
| ~ r1(X115,X116)
| ~ r1(X116,X117)
| ~ r1(X117,X118)
| ~ r1(X118,X119)
| ~ r1(X119,X120)
| ~ r1(X120,X121)
| ~ r1(X121,X122)
| ~ r1(X122,X123)
| ~ r1(X123,X124)
| ~ r1(X124,X125)
| ~ r1(X125,X126)
| ~ r1(X126,X127)
| ~ r1(X127,X128)
| epred1_1(X128) )
& ~ 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,
! [X97] : r1(X97,X97),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X15)
| ~ 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)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X15) ),
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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X2,X14) ),
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(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X2,X13) ),
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(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X2,X12) ),
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(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X2,X11) ),
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(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X2,X10) ),
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(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X2,X9) ),
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(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X2,X8) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_15,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_14,c_0_7]) ).
cnf(c_0_16,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_15,c_0_7]) ).
cnf(c_0_17,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_16,c_0_7]) ).
cnf(c_0_18,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( p7(X15)
| ~ 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)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X15) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_21,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_2]) ).
cnf(c_0_22,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( p7(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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X2,X14) ),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
fof(c_0_24,plain,
! [X129,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191] :
( ( r1(X129,esk2_1(X129))
| p115(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( ~ p16(esk2_1(X129))
| p115(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( ~ p116(esk2_1(X129))
| p115(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( p115(esk2_1(X129))
| p115(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk3_1(X129))
| p115(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( p16(esk3_1(X129))
| p115(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( ~ p116(esk3_1(X129))
| p115(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( p115(esk3_1(X129))
| p115(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk4_1(X129))
| p114(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( ~ p15(esk4_1(X129))
| p114(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( ~ p115(esk4_1(X129))
| p114(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( p114(esk4_1(X129))
| p114(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk5_1(X129))
| p114(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( p15(esk5_1(X129))
| p114(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( ~ p115(esk5_1(X129))
| p114(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( p114(esk5_1(X129))
| p114(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk6_1(X129))
| p113(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( ~ p14(esk6_1(X129))
| p113(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( ~ p114(esk6_1(X129))
| p113(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( p113(esk6_1(X129))
| p113(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk7_1(X129))
| p113(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( p14(esk7_1(X129))
| p113(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( ~ p114(esk7_1(X129))
| p113(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( p113(esk7_1(X129))
| p113(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk8_1(X129))
| p112(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( ~ p13(esk8_1(X129))
| p112(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( ~ p113(esk8_1(X129))
| p112(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( p112(esk8_1(X129))
| p112(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk9_1(X129))
| p112(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( p13(esk9_1(X129))
| p112(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( ~ p113(esk9_1(X129))
| p112(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( p112(esk9_1(X129))
| p112(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk10_1(X129))
| p111(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( ~ p12(esk10_1(X129))
| p111(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( ~ p112(esk10_1(X129))
| p111(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( p111(esk10_1(X129))
| p111(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk11_1(X129))
| p111(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( p12(esk11_1(X129))
| p111(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( ~ p112(esk11_1(X129))
| p111(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( p111(esk11_1(X129))
| p111(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk12_1(X129))
| p110(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( ~ p11(esk12_1(X129))
| p110(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( ~ p111(esk12_1(X129))
| p110(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( p110(esk12_1(X129))
| p110(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk13_1(X129))
| p110(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( p11(esk13_1(X129))
| p110(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( ~ p111(esk13_1(X129))
| p110(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( p110(esk13_1(X129))
| p110(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk14_1(X129))
| p109(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( ~ p10(esk14_1(X129))
| p109(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( ~ p110(esk14_1(X129))
| p109(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( p109(esk14_1(X129))
| p109(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk15_1(X129))
| p109(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( p10(esk15_1(X129))
| p109(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( ~ p110(esk15_1(X129))
| p109(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( p109(esk15_1(X129))
| p109(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk16_1(X129))
| p108(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( ~ p9(esk16_1(X129))
| p108(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( ~ p109(esk16_1(X129))
| p108(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( p108(esk16_1(X129))
| p108(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk17_1(X129))
| p108(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( p9(esk17_1(X129))
| p108(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( ~ p109(esk17_1(X129))
| p108(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( p108(esk17_1(X129))
| p108(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk18_1(X129))
| p107(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( ~ p8(esk18_1(X129))
| p107(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( ~ p108(esk18_1(X129))
| p107(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( p107(esk18_1(X129))
| p107(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk19_1(X129))
| p107(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( p8(esk19_1(X129))
| p107(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( ~ p108(esk19_1(X129))
| p107(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( p107(esk19_1(X129))
| p107(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk20_1(X129))
| p106(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( ~ p7(esk20_1(X129))
| p106(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( ~ p107(esk20_1(X129))
| p106(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( p106(esk20_1(X129))
| p106(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk21_1(X129))
| p106(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( p7(esk21_1(X129))
| p106(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( ~ p107(esk21_1(X129))
| p106(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( p106(esk21_1(X129))
| p106(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk22_1(X129))
| p105(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( ~ p6(esk22_1(X129))
| p105(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( ~ p106(esk22_1(X129))
| p105(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( p105(esk22_1(X129))
| p105(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk23_1(X129))
| p105(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( p6(esk23_1(X129))
| p105(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( ~ p106(esk23_1(X129))
| p105(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( p105(esk23_1(X129))
| p105(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk24_1(X129))
| p104(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( ~ p5(esk24_1(X129))
| p104(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( ~ p105(esk24_1(X129))
| p104(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( p104(esk24_1(X129))
| p104(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk25_1(X129))
| p104(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( p5(esk25_1(X129))
| p104(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( ~ p105(esk25_1(X129))
| p104(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( p104(esk25_1(X129))
| p104(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk26_1(X129))
| p103(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( ~ p4(esk26_1(X129))
| p103(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( ~ p104(esk26_1(X129))
| p103(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( p103(esk26_1(X129))
| p103(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk27_1(X129))
| p103(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( p4(esk27_1(X129))
| p103(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( ~ p104(esk27_1(X129))
| p103(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( p103(esk27_1(X129))
| p103(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk28_1(X129))
| p102(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( ~ p3(esk28_1(X129))
| p102(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( ~ p103(esk28_1(X129))
| p102(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( p102(esk28_1(X129))
| p102(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk29_1(X129))
| p102(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( p3(esk29_1(X129))
| p102(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( ~ p103(esk29_1(X129))
| p102(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( p102(esk29_1(X129))
| p102(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk30_1(X129))
| p101(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( ~ p2(esk30_1(X129))
| p101(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( ~ p102(esk30_1(X129))
| p101(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( p101(esk30_1(X129))
| p101(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( r1(X129,esk31_1(X129))
| p101(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( p2(esk31_1(X129))
| p101(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( ~ p102(esk31_1(X129))
| p101(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( p101(esk31_1(X129))
| p101(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X160)
| ~ p16(X160)
| ~ p115(X160)
| p16(X129)
| ~ p115(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X161)
| p16(X161)
| ~ p115(X161)
| ~ p16(X129)
| ~ p115(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X162)
| ~ p15(X162)
| ~ p114(X162)
| p15(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X163)
| p15(X163)
| ~ p114(X163)
| ~ p15(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X164)
| ~ p14(X164)
| ~ p113(X164)
| p14(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X165)
| p14(X165)
| ~ p113(X165)
| ~ p14(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X166)
| ~ p13(X166)
| ~ p112(X166)
| p13(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X167)
| p13(X167)
| ~ p112(X167)
| ~ p13(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X168)
| ~ p12(X168)
| ~ p111(X168)
| p12(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X169)
| p12(X169)
| ~ p111(X169)
| ~ p12(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X170)
| ~ p11(X170)
| ~ p110(X170)
| p11(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X171)
| p11(X171)
| ~ p110(X171)
| ~ p11(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X172)
| ~ p10(X172)
| ~ p109(X172)
| p10(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X173)
| p10(X173)
| ~ p109(X173)
| ~ p10(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X174)
| ~ p9(X174)
| ~ p108(X174)
| p9(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X175)
| p9(X175)
| ~ p108(X175)
| ~ p9(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X176)
| ~ p8(X176)
| ~ p107(X176)
| p8(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X177)
| p8(X177)
| ~ p107(X177)
| ~ p8(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X178)
| ~ p7(X178)
| ~ p106(X178)
| p7(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X179)
| p7(X179)
| ~ p106(X179)
| ~ p7(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X180)
| ~ p6(X180)
| ~ p105(X180)
| p6(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X181)
| p6(X181)
| ~ p105(X181)
| ~ p6(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X182)
| ~ p5(X182)
| ~ p104(X182)
| p5(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X183)
| p5(X183)
| ~ p104(X183)
| ~ p5(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X184)
| ~ p4(X184)
| ~ p103(X184)
| p4(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X185)
| p4(X185)
| ~ p103(X185)
| ~ p4(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X186)
| ~ p3(X186)
| ~ p102(X186)
| p3(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X187)
| p3(X187)
| ~ p102(X187)
| ~ p3(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X188)
| ~ p2(X188)
| ~ p101(X188)
| p2(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X189)
| p2(X189)
| ~ p101(X189)
| ~ p2(X129)
| ~ p101(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X190)
| ~ p1(X190)
| ~ p100(X190)
| p1(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( ~ r1(X129,X191)
| p1(X191)
| ~ p100(X191)
| ~ p1(X129)
| ~ p100(X129)
| ~ epred1_1(X129) )
& ( p115(X129)
| ~ p116(X129)
| ~ epred1_1(X129) )
& ( p114(X129)
| ~ p115(X129)
| ~ epred1_1(X129) )
& ( p113(X129)
| ~ p114(X129)
| ~ epred1_1(X129) )
& ( p112(X129)
| ~ p113(X129)
| ~ epred1_1(X129) )
& ( p111(X129)
| ~ p112(X129)
| ~ epred1_1(X129) )
& ( p110(X129)
| ~ p111(X129)
| ~ epred1_1(X129) )
& ( p109(X129)
| ~ p110(X129)
| ~ epred1_1(X129) )
& ( p108(X129)
| ~ p109(X129)
| ~ epred1_1(X129) )
& ( p107(X129)
| ~ p108(X129)
| ~ epred1_1(X129) )
& ( p106(X129)
| ~ p107(X129)
| ~ epred1_1(X129) )
& ( p105(X129)
| ~ p106(X129)
| ~ epred1_1(X129) )
& ( p104(X129)
| ~ p105(X129)
| ~ epred1_1(X129) )
& ( p103(X129)
| ~ p104(X129)
| ~ epred1_1(X129) )
& ( p102(X129)
| ~ p103(X129)
| ~ epred1_1(X129) )
& ( p101(X129)
| ~ p102(X129)
| ~ epred1_1(X129) )
& ( p100(X129)
| ~ p101(X129)
| ~ epred1_1(X129) ) ),
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_21])])])])]) ).
cnf(c_0_25,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_26,negated_conjecture,
( p7(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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X2,X13) ),
inference(spm,[status(thm)],[c_0_23,c_0_7]) ).
cnf(c_0_27,plain,
( r1(X1,esk30_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_25,c_0_7]) ).
cnf(c_0_29,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,negated_conjecture,
( p7(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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X2,X12) ),
inference(spm,[status(thm)],[c_0_26,c_0_7]) ).
cnf(c_0_32,plain,
r1(esk1_0,esk30_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_33,plain,
( p7(X1)
| ~ r1(esk30_1(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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X2,X11) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,plain,
( p101(esk30_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
( p7(X1)
| ~ r1(esk30_1(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(X10,X9)
| ~ r1(X2,X10) ),
inference(spm,[status(thm)],[c_0_33,c_0_7]) ).
cnf(c_0_36,plain,
( r1(X1,esk28_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,negated_conjecture,
epred1_1(esk30_1(esk1_0)),
inference(spm,[status(thm)],[c_0_25,c_0_32]) ).
cnf(c_0_38,plain,
p101(esk30_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_39,plain,
( p7(X1)
| ~ r1(esk30_1(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_35,c_0_7]) ).
cnf(c_0_40,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk30_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_32]) ).
cnf(c_0_41,plain,
( p102(esk30_1(esk1_0))
| r1(esk30_1(esk1_0),esk28_1(esk30_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_42,plain,
( p102(esk28_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_43,plain,
( p7(X1)
| ~ r1(esk30_1(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_39,c_0_7]) ).
cnf(c_0_44,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk30_1(esk1_0),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_45,plain,
( r1(X1,esk26_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_46,negated_conjecture,
( epred1_1(esk28_1(esk30_1(esk1_0)))
| p102(esk30_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
( p102(esk28_1(esk30_1(esk1_0)))
| p102(esk30_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_37]),c_0_38])]) ).
cnf(c_0_48,plain,
( p7(X1)
| ~ r1(esk30_1(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_43,c_0_7]) ).
cnf(c_0_49,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk30_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_32]) ).
cnf(c_0_50,negated_conjecture,
( epred1_1(X1)
| p102(esk30_1(esk1_0))
| ~ r1(esk28_1(esk30_1(esk1_0)),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_51,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| r1(esk28_1(esk30_1(esk1_0)),esk26_1(esk28_1(esk30_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_52,plain,
( p103(esk26_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_53,plain,
( p7(X1)
| ~ r1(esk30_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_48,c_0_7]) ).
cnf(c_0_54,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk30_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_32]) ).
cnf(c_0_55,negated_conjecture,
( epred1_1(X1)
| p102(esk30_1(esk1_0))
| ~ r1(esk28_1(esk30_1(esk1_0)),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_41]) ).
cnf(c_0_56,plain,
( r1(X1,esk24_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_57,negated_conjecture,
( epred1_1(esk26_1(esk28_1(esk30_1(esk1_0))))
| p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,plain,
( p102(esk30_1(esk1_0))
| p103(esk26_1(esk28_1(esk30_1(esk1_0))))
| p103(esk28_1(esk30_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_47]) ).
cnf(c_0_59,plain,
( p7(X1)
| ~ r1(esk30_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_53,c_0_7]) ).
cnf(c_0_60,plain,
( epred1_1(X1)
| p102(esk30_1(esk1_0))
| ~ r1(esk28_1(esk30_1(esk1_0)),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_41]) ).
cnf(c_0_61,negated_conjecture,
( epred1_1(X1)
| p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| ~ r1(esk26_1(esk28_1(esk30_1(esk1_0))),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_51]) ).
cnf(c_0_62,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| r1(esk26_1(esk28_1(esk30_1(esk1_0))),esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_63,plain,
( p104(esk24_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_64,plain,
( p102(esk30_1(esk1_0))
| p7(X1)
| ~ r1(esk28_1(esk30_1(esk1_0)),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_41]) ).
cnf(c_0_65,plain,
( epred1_1(X1)
| p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| ~ r1(esk26_1(esk28_1(esk30_1(esk1_0))),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_51]) ).
cnf(c_0_66,plain,
( r1(X1,esk22_1(X1))
| p105(X1)
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_67,negated_conjecture,
( epred1_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))
| p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))
| p104(esk26_1(esk28_1(esk30_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_57]),c_0_58]) ).
cnf(c_0_69,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p7(X1)
| ~ r1(esk26_1(esk28_1(esk30_1(esk1_0))),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_51]) ).
cnf(c_0_70,plain,
( epred1_1(X1)
| p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| ~ r1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))),X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_62]) ).
cnf(c_0_71,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))
| r1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))),esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_72,plain,
( p105(esk22_1(X1))
| p105(X1)
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_73,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| p7(X1)
| ~ r1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_62]) ).
cnf(c_0_74,plain,
( r1(X1,esk20_1(X1))
| p106(X1)
| ~ p105(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_75,plain,
( epred1_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))
| p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| p105(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))
| p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_67]),c_0_68]) ).
cnf(c_0_77,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))
| p7(X1)
| ~ r1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_71]) ).
cnf(c_0_78,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))
| p106(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))
| r1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_79,plain,
( p106(X1)
| ~ p7(esk20_1(X1))
| ~ p105(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_80,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))
| p106(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))
| p7(esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,plain,
( p105(X1)
| ~ p106(esk22_1(X1))
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_82,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))
| p106(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_76]),c_0_75]) ).
cnf(c_0_83,plain,
( p104(X1)
| ~ p105(esk24_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_84,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0))))
| p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_68]),c_0_67]) ).
cnf(c_0_85,plain,
( p103(X1)
| ~ p104(esk26_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_86,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0)))
| p104(esk26_1(esk28_1(esk30_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_58]),c_0_57]) ).
cnf(c_0_87,plain,
( p102(X1)
| ~ p103(esk28_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_88,plain,
( p102(esk30_1(esk1_0))
| p103(esk28_1(esk30_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_47]),c_0_46]) ).
cnf(c_0_89,plain,
( p101(X1)
| ~ p102(esk30_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_90,plain,
p102(esk30_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_37]),c_0_38])]) ).
cnf(c_0_91,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_28]),c_0_29])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL656+1.015 : 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
% 0.14/0.32 % Computer : n011.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 22:50:32 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 14.49/10.25 % Version : CSE_E---1.7
% 14.49/10.25 % Problem : theBenchmark.p
% 14.49/10.25 % SZS status Theorem for theBenchmark.p
% 14.49/10.25 % SZS output start CNFRefutation
% See solution above
% 14.49/10.27 % Total time : 9.385s
%------------------------------------------------------------------------------