%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL656+1.020 : 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 : n027.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 44.16s 23.44s
% Output : CNFRefutation 44.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 3
% Syntax : Number of formulae : 114 ( 11 unt; 0 def)
% Number of atoms : 3111 ( 0 equ)
% Maximal formula atoms : 955 ( 27 avg)
% Number of connectives : 5428 (2431 ~;2160 |; 835 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 269 ( 13 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 46 ( 45 usr; 1 prp; 0-2 aty)
% Number of functors : 41 ( 41 usr; 1 con; 0-1 aty)
% Number of variables : 891 ( 0 sgn 413 !; 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)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p8(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)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p21(X2)
& ~ p121(X2)
& p120(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p21(X2)
& ~ p121(X2)
& p120(X2) ) ) )
| ~ ( ~ p120(X1)
& p119(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p20(X2)
& ~ p120(X2)
& p119(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p20(X2)
& ~ p120(X2)
& p119(X2) ) ) )
| ~ ( ~ p119(X1)
& p118(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p19(X2)
& ~ p119(X2)
& p118(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p19(X2)
& ~ p119(X2)
& p118(X2) ) ) )
| ~ ( ~ p118(X1)
& p117(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p18(X2)
& ~ p118(X2)
& p117(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p18(X2)
& ~ p118(X2)
& p117(X2) ) ) )
| ~ ( ~ p117(X1)
& p116(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p17(X2)
& ~ p117(X2)
& p116(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p17(X2)
& ~ p117(X2)
& p116(X2) ) ) )
| ~ ( ~ p116(X1)
& p115(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p16(X2)
& ~ p116(X2)
& p115(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p16(X2)
& ~ p116(X2)
& p115(X2) ) ) )
| ~ ( ~ p115(X1)
& p114(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p15(X2)
& ~ p115(X2)
& p114(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p15(X2)
& ~ p115(X2)
& p114(X2) ) ) )
| ~ ( ~ p114(X1)
& p113(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p14(X2)
& ~ p114(X2)
& p113(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p14(X2)
& ~ p114(X2)
& p113(X2) ) ) )
| ~ ( ~ p113(X1)
& p112(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p13(X2)
& ~ p113(X2)
& p112(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p13(X2)
& ~ p113(X2)
& p112(X2) ) ) )
| ~ ( ~ p112(X1)
& p111(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p12(X2)
& ~ p112(X2)
& p111(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p12(X2)
& ~ p112(X2)
& p111(X2) ) ) )
| ~ ( ~ p111(X1)
& p110(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p21(X2)
| ~ p120(X2) )
| p21(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p21(X2)
| ~ p120(X2) )
| ~ p21(X1) ) )
| ~ p120(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p20(X2)
| ~ p119(X2) )
| p20(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p20(X2)
| ~ p119(X2) )
| ~ p20(X1) ) )
| ~ p119(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p19(X2)
| ~ p118(X2) )
| p19(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p19(X2)
| ~ p118(X2) )
| ~ p19(X1) ) )
| ~ p118(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p18(X2)
| ~ p117(X2) )
| p18(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p18(X2)
| ~ p117(X2) )
| ~ p18(X1) ) )
| ~ p117(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p17(X2)
| ~ p116(X2) )
| p17(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p17(X2)
| ~ p116(X2) )
| ~ p17(X1) ) )
| ~ p116(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p16(X2)
| ~ p115(X2) )
| p16(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p16(X2)
| ~ p115(X2) )
| ~ p16(X1) ) )
| ~ p115(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ~ p114(X2) )
| p15(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p15(X2)
| ~ p114(X2) )
| ~ p15(X1) ) )
| ~ p114(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p14(X2)
| ~ p113(X2) )
| p14(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p14(X2)
| ~ p113(X2) )
| ~ p14(X1) ) )
| ~ p113(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p13(X2)
| ~ p112(X2) )
| p13(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p13(X2)
| ~ p112(X2) )
| ~ p13(X1) ) )
| ~ p112(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p12(X2)
| ~ p111(X2) )
| p12(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p12(X2)
| ~ p111(X2) )
| ~ p12(X1) ) )
| ~ p111(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p120(X1)
| ~ p121(X1) )
& ( p119(X1)
| ~ p120(X1) )
& ( p118(X1)
| ~ p119(X1) )
& ( p117(X1)
| ~ p118(X1) )
& ( p116(X1)
| ~ p117(X1) )
& ( p115(X1)
| ~ p116(X1) )
& ( p114(X1)
| ~ p115(X1) )
& ( p113(X1)
| ~ p114(X1) )
& ( p112(X1)
| ~ p113(X1) )
& ( p111(X1)
| ~ p112(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p21(X2)
& ~ p121(X2)
& p120(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p21(X2)
& ~ p121(X2)
& p120(X2) ) ) )
| ~ ( ~ p120(X1)
& p119(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p20(X2)
& ~ p120(X2)
& p119(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p20(X2)
& ~ p120(X2)
& p119(X2) ) ) )
| ~ ( ~ p119(X1)
& p118(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p19(X2)
& ~ p119(X2)
& p118(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p19(X2)
& ~ p119(X2)
& p118(X2) ) ) )
| ~ ( ~ p118(X1)
& p117(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p18(X2)
& ~ p118(X2)
& p117(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p18(X2)
& ~ p118(X2)
& p117(X2) ) ) )
| ~ ( ~ p117(X1)
& p116(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p17(X2)
& ~ p117(X2)
& p116(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p17(X2)
& ~ p117(X2)
& p116(X2) ) ) )
| ~ ( ~ p116(X1)
& p115(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p16(X2)
& ~ p116(X2)
& p115(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p16(X2)
& ~ p116(X2)
& p115(X2) ) ) )
| ~ ( ~ p115(X1)
& p114(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p15(X2)
& ~ p115(X2)
& p114(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p15(X2)
& ~ p115(X2)
& p114(X2) ) ) )
| ~ ( ~ p114(X1)
& p113(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p14(X2)
& ~ p114(X2)
& p113(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p14(X2)
& ~ p114(X2)
& p113(X2) ) ) )
| ~ ( ~ p113(X1)
& p112(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p13(X2)
& ~ p113(X2)
& p112(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p13(X2)
& ~ p113(X2)
& p112(X2) ) ) )
| ~ ( ~ p112(X1)
& p111(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p12(X2)
& ~ p112(X2)
& p111(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p12(X2)
& ~ p112(X2)
& p111(X2) ) ) )
| ~ ( ~ p111(X1)
& p110(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p21(X2)
| ~ p120(X2) )
| p21(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p21(X2)
| ~ p120(X2) )
| ~ p21(X1) ) )
| ~ p120(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p20(X2)
| ~ p119(X2) )
| p20(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p20(X2)
| ~ p119(X2) )
| ~ p20(X1) ) )
| ~ p119(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p19(X2)
| ~ p118(X2) )
| p19(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p19(X2)
| ~ p118(X2) )
| ~ p19(X1) ) )
| ~ p118(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p18(X2)
| ~ p117(X2) )
| p18(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p18(X2)
| ~ p117(X2) )
| ~ p18(X1) ) )
| ~ p117(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p17(X2)
| ~ p116(X2) )
| p17(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p17(X2)
| ~ p116(X2) )
| ~ p17(X1) ) )
| ~ p116(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p16(X2)
| ~ p115(X2) )
| p16(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p16(X2)
| ~ p115(X2) )
| ~ p16(X1) ) )
| ~ p115(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ~ p114(X2) )
| p15(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p15(X2)
| ~ p114(X2) )
| ~ p15(X1) ) )
| ~ p114(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p14(X2)
| ~ p113(X2) )
| p14(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p14(X2)
| ~ p113(X2) )
| ~ p14(X1) ) )
| ~ p113(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p13(X2)
| ~ p112(X2) )
| p13(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p13(X2)
| ~ p112(X2) )
| ~ p13(X1) ) )
| ~ p112(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p12(X2)
| ~ p111(X2) )
| p12(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p12(X2)
| ~ p111(X2) )
| ~ p12(X1) ) )
| ~ p111(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p120(X1)
| ~ p121(X1) )
& ( p119(X1)
| ~ p120(X1) )
& ( p118(X1)
| ~ p119(X1) )
& ( p117(X1)
| ~ p118(X1) )
& ( p116(X1)
| ~ p117(X1) )
& ( p115(X1)
| ~ p116(X1) )
& ( p114(X1)
| ~ p115(X1) )
& ( p113(X1)
| ~ p114(X1) )
& ( p112(X1)
| ~ p113(X1) )
& ( p111(X1)
| ~ p112(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [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)
| p8(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)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_2]) ).
fof(c_0_4,negated_conjecture,
! [X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168] :
( ( ~ r1(esk1_0,X129)
| ~ r1(X129,X130)
| ~ r1(X130,X131)
| ~ r1(X131,X132)
| ~ r1(X132,X133)
| ~ r1(X133,X134)
| ~ r1(X134,X135)
| ~ r1(X135,X136)
| ~ r1(X136,X137)
| ~ r1(X137,X138)
| ~ r1(X138,X139)
| ~ r1(X139,X140)
| ~ r1(X140,X141)
| ~ r1(X141,X142)
| ~ r1(X142,X143)
| ~ r1(X143,X144)
| ~ r1(X144,X145)
| ~ r1(X145,X146)
| ~ r1(X146,X147)
| ~ r1(X147,X148)
| p8(X148) )
& ( ~ r1(esk1_0,X149)
| ~ r1(X149,X150)
| ~ r1(X150,X151)
| ~ r1(X151,X152)
| ~ r1(X152,X153)
| ~ r1(X153,X154)
| ~ r1(X154,X155)
| ~ r1(X155,X156)
| ~ r1(X156,X157)
| ~ r1(X157,X158)
| ~ r1(X158,X159)
| ~ r1(X159,X160)
| ~ r1(X160,X161)
| ~ r1(X161,X162)
| ~ r1(X162,X163)
| ~ r1(X163,X164)
| ~ r1(X164,X165)
| ~ r1(X165,X166)
| ~ r1(X166,X167)
| ~ r1(X167,X168)
| epred1_1(X168) )
& ~ 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,
! [X127] : r1(X127,X127),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X20)
| ~ 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)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20) ),
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(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X19,X18)
| ~ r1(X2,X19) ),
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(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X2,X18) ),
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(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X2,X17) ),
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(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X2,X16) ),
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(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X2,X15) ),
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(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X2,X14) ),
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(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X2,X13) ),
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(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X12,X11)
| ~ r1(X2,X12) ),
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(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X11,X10)
| ~ r1(X2,X11) ),
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(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X2,X10) ),
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(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X2,X9) ),
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(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X2,X8) ),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_20,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_19,c_0_7]) ).
cnf(c_0_21,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_20,c_0_7]) ).
cnf(c_0_22,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_21,c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( p8(X20)
| ~ 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)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_7]) ).
cnf(c_0_26,negated_conjecture,
( p8(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(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X19,X18)
| ~ r1(X2,X19) ),
inference(spm,[status(thm)],[c_0_24,c_0_7]) ).
fof(c_0_27,plain,
! [X1] :
( epred1_1(X1)
=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p21(X2)
& ~ p121(X2)
& p120(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p21(X2)
& ~ p121(X2)
& p120(X2) ) ) )
| ~ ( ~ p120(X1)
& p119(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p20(X2)
& ~ p120(X2)
& p119(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p20(X2)
& ~ p120(X2)
& p119(X2) ) ) )
| ~ ( ~ p119(X1)
& p118(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p19(X2)
& ~ p119(X2)
& p118(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p19(X2)
& ~ p119(X2)
& p118(X2) ) ) )
| ~ ( ~ p118(X1)
& p117(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p18(X2)
& ~ p118(X2)
& p117(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p18(X2)
& ~ p118(X2)
& p117(X2) ) ) )
| ~ ( ~ p117(X1)
& p116(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p17(X2)
& ~ p117(X2)
& p116(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p17(X2)
& ~ p117(X2)
& p116(X2) ) ) )
| ~ ( ~ p116(X1)
& p115(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p16(X2)
& ~ p116(X2)
& p115(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p16(X2)
& ~ p116(X2)
& p115(X2) ) ) )
| ~ ( ~ p115(X1)
& p114(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p15(X2)
& ~ p115(X2)
& p114(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p15(X2)
& ~ p115(X2)
& p114(X2) ) ) )
| ~ ( ~ p114(X1)
& p113(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p14(X2)
& ~ p114(X2)
& p113(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p14(X2)
& ~ p114(X2)
& p113(X2) ) ) )
| ~ ( ~ p113(X1)
& p112(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p13(X2)
& ~ p113(X2)
& p112(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p13(X2)
& ~ p113(X2)
& p112(X2) ) ) )
| ~ ( ~ p112(X1)
& p111(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p12(X2)
& ~ p112(X2)
& p111(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p12(X2)
& ~ p112(X2)
& p111(X2) ) ) )
| ~ ( ~ p111(X1)
& p110(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p21(X2)
| ~ p120(X2) )
| p21(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p21(X2)
| ~ p120(X2) )
| ~ p21(X1) ) )
| ~ p120(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p20(X2)
| ~ p119(X2) )
| p20(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p20(X2)
| ~ p119(X2) )
| ~ p20(X1) ) )
| ~ p119(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p19(X2)
| ~ p118(X2) )
| p19(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p19(X2)
| ~ p118(X2) )
| ~ p19(X1) ) )
| ~ p118(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p18(X2)
| ~ p117(X2) )
| p18(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p18(X2)
| ~ p117(X2) )
| ~ p18(X1) ) )
| ~ p117(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p17(X2)
| ~ p116(X2) )
| p17(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p17(X2)
| ~ p116(X2) )
| ~ p17(X1) ) )
| ~ p116(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p16(X2)
| ~ p115(X2) )
| p16(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p16(X2)
| ~ p115(X2) )
| ~ p16(X1) ) )
| ~ p115(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ~ p114(X2) )
| p15(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p15(X2)
| ~ p114(X2) )
| ~ p15(X1) ) )
| ~ p114(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p14(X2)
| ~ p113(X2) )
| p14(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p14(X2)
| ~ p113(X2) )
| ~ p14(X1) ) )
| ~ p113(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p13(X2)
| ~ p112(X2) )
| p13(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p13(X2)
| ~ p112(X2) )
| ~ p13(X1) ) )
| ~ p112(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p12(X2)
| ~ p111(X2) )
| p12(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p12(X2)
| ~ p111(X2) )
| ~ p12(X1) ) )
| ~ p111(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p120(X1)
| ~ p121(X1) )
& ( p119(X1)
| ~ p120(X1) )
& ( p118(X1)
| ~ p119(X1) )
& ( p117(X1)
| ~ p118(X1) )
& ( p116(X1)
| ~ p117(X1) )
& ( p115(X1)
| ~ p116(X1) )
& ( p114(X1)
| ~ p115(X1) )
& ( p113(X1)
| ~ p114(X1) )
& ( p112(X1)
| ~ p113(X1) )
& ( p111(X1)
| ~ p112(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_7]) ).
cnf(c_0_29,negated_conjecture,
( p8(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(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X2,X18) ),
inference(spm,[status(thm)],[c_0_26,c_0_7]) ).
fof(c_0_30,plain,
! [X169,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251] :
( ( r1(X169,esk2_1(X169))
| p120(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( ~ p21(esk2_1(X169))
| p120(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( ~ p121(esk2_1(X169))
| p120(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( p120(esk2_1(X169))
| p120(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk3_1(X169))
| p120(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( p21(esk3_1(X169))
| p120(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( ~ p121(esk3_1(X169))
| p120(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( p120(esk3_1(X169))
| p120(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk4_1(X169))
| p119(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( ~ p20(esk4_1(X169))
| p119(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( ~ p120(esk4_1(X169))
| p119(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( p119(esk4_1(X169))
| p119(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk5_1(X169))
| p119(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( p20(esk5_1(X169))
| p119(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( ~ p120(esk5_1(X169))
| p119(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( p119(esk5_1(X169))
| p119(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk6_1(X169))
| p118(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( ~ p19(esk6_1(X169))
| p118(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( ~ p119(esk6_1(X169))
| p118(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( p118(esk6_1(X169))
| p118(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk7_1(X169))
| p118(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( p19(esk7_1(X169))
| p118(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( ~ p119(esk7_1(X169))
| p118(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( p118(esk7_1(X169))
| p118(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk8_1(X169))
| p117(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( ~ p18(esk8_1(X169))
| p117(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( ~ p118(esk8_1(X169))
| p117(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( p117(esk8_1(X169))
| p117(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk9_1(X169))
| p117(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( p18(esk9_1(X169))
| p117(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( ~ p118(esk9_1(X169))
| p117(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( p117(esk9_1(X169))
| p117(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk10_1(X169))
| p116(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( ~ p17(esk10_1(X169))
| p116(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( ~ p117(esk10_1(X169))
| p116(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( p116(esk10_1(X169))
| p116(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk11_1(X169))
| p116(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( p17(esk11_1(X169))
| p116(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( ~ p117(esk11_1(X169))
| p116(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( p116(esk11_1(X169))
| p116(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk12_1(X169))
| p115(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( ~ p16(esk12_1(X169))
| p115(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( ~ p116(esk12_1(X169))
| p115(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( p115(esk12_1(X169))
| p115(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk13_1(X169))
| p115(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( p16(esk13_1(X169))
| p115(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( ~ p116(esk13_1(X169))
| p115(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( p115(esk13_1(X169))
| p115(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk14_1(X169))
| p114(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( ~ p15(esk14_1(X169))
| p114(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( ~ p115(esk14_1(X169))
| p114(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( p114(esk14_1(X169))
| p114(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk15_1(X169))
| p114(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( p15(esk15_1(X169))
| p114(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( ~ p115(esk15_1(X169))
| p114(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( p114(esk15_1(X169))
| p114(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk16_1(X169))
| p113(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( ~ p14(esk16_1(X169))
| p113(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( ~ p114(esk16_1(X169))
| p113(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( p113(esk16_1(X169))
| p113(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk17_1(X169))
| p113(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( p14(esk17_1(X169))
| p113(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( ~ p114(esk17_1(X169))
| p113(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( p113(esk17_1(X169))
| p113(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk18_1(X169))
| p112(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( ~ p13(esk18_1(X169))
| p112(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( ~ p113(esk18_1(X169))
| p112(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( p112(esk18_1(X169))
| p112(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk19_1(X169))
| p112(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( p13(esk19_1(X169))
| p112(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( ~ p113(esk19_1(X169))
| p112(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( p112(esk19_1(X169))
| p112(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk20_1(X169))
| p111(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( ~ p12(esk20_1(X169))
| p111(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( ~ p112(esk20_1(X169))
| p111(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( p111(esk20_1(X169))
| p111(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk21_1(X169))
| p111(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( p12(esk21_1(X169))
| p111(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( ~ p112(esk21_1(X169))
| p111(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( p111(esk21_1(X169))
| p111(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk22_1(X169))
| p110(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( ~ p11(esk22_1(X169))
| p110(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( ~ p111(esk22_1(X169))
| p110(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( p110(esk22_1(X169))
| p110(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk23_1(X169))
| p110(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( p11(esk23_1(X169))
| p110(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( ~ p111(esk23_1(X169))
| p110(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( p110(esk23_1(X169))
| p110(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk24_1(X169))
| p109(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( ~ p10(esk24_1(X169))
| p109(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( ~ p110(esk24_1(X169))
| p109(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( p109(esk24_1(X169))
| p109(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk25_1(X169))
| p109(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( p10(esk25_1(X169))
| p109(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( ~ p110(esk25_1(X169))
| p109(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( p109(esk25_1(X169))
| p109(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk26_1(X169))
| p108(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( ~ p9(esk26_1(X169))
| p108(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( ~ p109(esk26_1(X169))
| p108(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( p108(esk26_1(X169))
| p108(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk27_1(X169))
| p108(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( p9(esk27_1(X169))
| p108(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( ~ p109(esk27_1(X169))
| p108(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( p108(esk27_1(X169))
| p108(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk28_1(X169))
| p107(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( ~ p8(esk28_1(X169))
| p107(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( ~ p108(esk28_1(X169))
| p107(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( p107(esk28_1(X169))
| p107(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk29_1(X169))
| p107(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( p8(esk29_1(X169))
| p107(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( ~ p108(esk29_1(X169))
| p107(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( p107(esk29_1(X169))
| p107(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk30_1(X169))
| p106(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( ~ p7(esk30_1(X169))
| p106(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( ~ p107(esk30_1(X169))
| p106(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( p106(esk30_1(X169))
| p106(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk31_1(X169))
| p106(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( p7(esk31_1(X169))
| p106(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( ~ p107(esk31_1(X169))
| p106(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( p106(esk31_1(X169))
| p106(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk32_1(X169))
| p105(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( ~ p6(esk32_1(X169))
| p105(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( ~ p106(esk32_1(X169))
| p105(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( p105(esk32_1(X169))
| p105(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk33_1(X169))
| p105(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( p6(esk33_1(X169))
| p105(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( ~ p106(esk33_1(X169))
| p105(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( p105(esk33_1(X169))
| p105(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk34_1(X169))
| p104(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( ~ p5(esk34_1(X169))
| p104(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( ~ p105(esk34_1(X169))
| p104(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( p104(esk34_1(X169))
| p104(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk35_1(X169))
| p104(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( p5(esk35_1(X169))
| p104(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( ~ p105(esk35_1(X169))
| p104(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( p104(esk35_1(X169))
| p104(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk36_1(X169))
| p103(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( ~ p4(esk36_1(X169))
| p103(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( ~ p104(esk36_1(X169))
| p103(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( p103(esk36_1(X169))
| p103(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk37_1(X169))
| p103(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( p4(esk37_1(X169))
| p103(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( ~ p104(esk37_1(X169))
| p103(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( p103(esk37_1(X169))
| p103(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk38_1(X169))
| p102(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( ~ p3(esk38_1(X169))
| p102(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( ~ p103(esk38_1(X169))
| p102(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( p102(esk38_1(X169))
| p102(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk39_1(X169))
| p102(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( p3(esk39_1(X169))
| p102(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( ~ p103(esk39_1(X169))
| p102(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( p102(esk39_1(X169))
| p102(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk40_1(X169))
| p101(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( ~ p2(esk40_1(X169))
| p101(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( ~ p102(esk40_1(X169))
| p101(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( p101(esk40_1(X169))
| p101(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( r1(X169,esk41_1(X169))
| p101(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( p2(esk41_1(X169))
| p101(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( ~ p102(esk41_1(X169))
| p101(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( p101(esk41_1(X169))
| p101(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X210)
| ~ p21(X210)
| ~ p120(X210)
| p21(X169)
| ~ p120(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X211)
| p21(X211)
| ~ p120(X211)
| ~ p21(X169)
| ~ p120(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X212)
| ~ p20(X212)
| ~ p119(X212)
| p20(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X213)
| p20(X213)
| ~ p119(X213)
| ~ p20(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X214)
| ~ p19(X214)
| ~ p118(X214)
| p19(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X215)
| p19(X215)
| ~ p118(X215)
| ~ p19(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X216)
| ~ p18(X216)
| ~ p117(X216)
| p18(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X217)
| p18(X217)
| ~ p117(X217)
| ~ p18(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X218)
| ~ p17(X218)
| ~ p116(X218)
| p17(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X219)
| p17(X219)
| ~ p116(X219)
| ~ p17(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X220)
| ~ p16(X220)
| ~ p115(X220)
| p16(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X221)
| p16(X221)
| ~ p115(X221)
| ~ p16(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X222)
| ~ p15(X222)
| ~ p114(X222)
| p15(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X223)
| p15(X223)
| ~ p114(X223)
| ~ p15(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X224)
| ~ p14(X224)
| ~ p113(X224)
| p14(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X225)
| p14(X225)
| ~ p113(X225)
| ~ p14(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X226)
| ~ p13(X226)
| ~ p112(X226)
| p13(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X227)
| p13(X227)
| ~ p112(X227)
| ~ p13(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X228)
| ~ p12(X228)
| ~ p111(X228)
| p12(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X229)
| p12(X229)
| ~ p111(X229)
| ~ p12(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X230)
| ~ p11(X230)
| ~ p110(X230)
| p11(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X231)
| p11(X231)
| ~ p110(X231)
| ~ p11(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X232)
| ~ p10(X232)
| ~ p109(X232)
| p10(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X233)
| p10(X233)
| ~ p109(X233)
| ~ p10(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X234)
| ~ p9(X234)
| ~ p108(X234)
| p9(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X235)
| p9(X235)
| ~ p108(X235)
| ~ p9(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X236)
| ~ p8(X236)
| ~ p107(X236)
| p8(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X237)
| p8(X237)
| ~ p107(X237)
| ~ p8(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X238)
| ~ p7(X238)
| ~ p106(X238)
| p7(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X239)
| p7(X239)
| ~ p106(X239)
| ~ p7(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X240)
| ~ p6(X240)
| ~ p105(X240)
| p6(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X241)
| p6(X241)
| ~ p105(X241)
| ~ p6(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X242)
| ~ p5(X242)
| ~ p104(X242)
| p5(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X243)
| p5(X243)
| ~ p104(X243)
| ~ p5(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X244)
| ~ p4(X244)
| ~ p103(X244)
| p4(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X245)
| p4(X245)
| ~ p103(X245)
| ~ p4(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X246)
| ~ p3(X246)
| ~ p102(X246)
| p3(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X247)
| p3(X247)
| ~ p102(X247)
| ~ p3(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X248)
| ~ p2(X248)
| ~ p101(X248)
| p2(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X249)
| p2(X249)
| ~ p101(X249)
| ~ p2(X169)
| ~ p101(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X250)
| ~ p1(X250)
| ~ p100(X250)
| p1(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( ~ r1(X169,X251)
| p1(X251)
| ~ p100(X251)
| ~ p1(X169)
| ~ p100(X169)
| ~ epred1_1(X169) )
& ( p120(X169)
| ~ p121(X169)
| ~ epred1_1(X169) )
& ( p119(X169)
| ~ p120(X169)
| ~ epred1_1(X169) )
& ( p118(X169)
| ~ p119(X169)
| ~ epred1_1(X169) )
& ( p117(X169)
| ~ p118(X169)
| ~ epred1_1(X169) )
& ( p116(X169)
| ~ p117(X169)
| ~ epred1_1(X169) )
& ( p115(X169)
| ~ p116(X169)
| ~ epred1_1(X169) )
& ( p114(X169)
| ~ p115(X169)
| ~ epred1_1(X169) )
& ( p113(X169)
| ~ p114(X169)
| ~ epred1_1(X169) )
& ( p112(X169)
| ~ p113(X169)
| ~ epred1_1(X169) )
& ( p111(X169)
| ~ p112(X169)
| ~ epred1_1(X169) )
& ( p110(X169)
| ~ p111(X169)
| ~ epred1_1(X169) )
& ( p109(X169)
| ~ p110(X169)
| ~ epred1_1(X169) )
& ( p108(X169)
| ~ p109(X169)
| ~ epred1_1(X169) )
& ( p107(X169)
| ~ p108(X169)
| ~ epred1_1(X169) )
& ( p106(X169)
| ~ p107(X169)
| ~ epred1_1(X169) )
& ( p105(X169)
| ~ p106(X169)
| ~ epred1_1(X169) )
& ( p104(X169)
| ~ p105(X169)
| ~ epred1_1(X169) )
& ( p103(X169)
| ~ p104(X169)
| ~ epred1_1(X169) )
& ( p102(X169)
| ~ p103(X169)
| ~ epred1_1(X169) )
& ( p101(X169)
| ~ p102(X169)
| ~ epred1_1(X169) )
& ( p100(X169)
| ~ p101(X169)
| ~ epred1_1(X169) ) ),
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_27])])])])]) ).
cnf(c_0_31,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_7]) ).
cnf(c_0_32,negated_conjecture,
( p8(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(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X2,X17) ),
inference(spm,[status(thm)],[c_0_29,c_0_7]) ).
cnf(c_0_33,plain,
( r1(X1,esk40_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_31,c_0_7]) ).
cnf(c_0_35,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_36,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_37,negated_conjecture,
( p8(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(X15,X14)
| ~ r1(X16,X15)
| ~ r1(X2,X16) ),
inference(spm,[status(thm)],[c_0_32,c_0_7]) ).
cnf(c_0_38,plain,
r1(esk1_0,esk40_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_39,plain,
( p8(X1)
| ~ r1(esk40_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(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X15,X14)
| ~ r1(X2,X15) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,plain,
( p8(X1)
| ~ r1(esk40_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(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X14,X13)
| ~ r1(X2,X14) ),
inference(spm,[status(thm)],[c_0_39,c_0_7]) ).
cnf(c_0_41,plain,
( p8(X1)
| ~ r1(esk40_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(X12,X11)
| ~ r1(X13,X12)
| ~ r1(X2,X13) ),
inference(spm,[status(thm)],[c_0_40,c_0_7]) ).
cnf(c_0_42,plain,
( p101(esk40_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,plain,
( p8(X1)
| ~ r1(esk40_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(X12,X11)
| ~ r1(X2,X12) ),
inference(spm,[status(thm)],[c_0_41,c_0_7]) ).
cnf(c_0_44,plain,
( r1(X1,esk38_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,negated_conjecture,
epred1_1(esk40_1(esk1_0)),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_46,plain,
p101(esk40_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_47,plain,
( p8(X1)
| ~ r1(esk40_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_43,c_0_7]) ).
cnf(c_0_48,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk40_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_38]) ).
cnf(c_0_49,plain,
( p102(esk40_1(esk1_0))
| r1(esk40_1(esk1_0),esk38_1(esk40_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_50,plain,
( p102(esk38_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_51,plain,
( p8(X1)
| ~ r1(esk40_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_47,c_0_7]) ).
cnf(c_0_52,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk40_1(esk1_0),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_38]) ).
cnf(c_0_53,plain,
( r1(X1,esk36_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_54,negated_conjecture,
( epred1_1(esk38_1(esk40_1(esk1_0)))
| p102(esk40_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
( p102(esk38_1(esk40_1(esk1_0)))
| p102(esk40_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_45]),c_0_46])]) ).
cnf(c_0_56,plain,
( p8(X1)
| ~ r1(esk40_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_51,c_0_7]) ).
cnf(c_0_57,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk40_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_38]) ).
cnf(c_0_58,negated_conjecture,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| ~ r1(esk38_1(esk40_1(esk1_0)),X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_49]) ).
cnf(c_0_59,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| r1(esk38_1(esk40_1(esk1_0)),esk36_1(esk38_1(esk40_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_60,plain,
( p103(esk36_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_61,plain,
( p8(X1)
| ~ r1(esk40_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_56,c_0_7]) ).
cnf(c_0_62,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk40_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_38]) ).
cnf(c_0_63,negated_conjecture,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| ~ r1(esk38_1(esk40_1(esk1_0)),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_64,plain,
( r1(X1,esk34_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_65,negated_conjecture,
( epred1_1(esk36_1(esk38_1(esk40_1(esk1_0))))
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,plain,
( p102(esk40_1(esk1_0))
| p103(esk36_1(esk38_1(esk40_1(esk1_0))))
| p103(esk38_1(esk40_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_54]),c_0_55]) ).
cnf(c_0_67,plain,
( p8(X1)
| ~ r1(esk40_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_61,c_0_7]) ).
cnf(c_0_68,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk40_1(esk1_0),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_21,c_0_38]) ).
cnf(c_0_69,plain,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| ~ r1(esk38_1(esk40_1(esk1_0)),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_49]) ).
cnf(c_0_70,negated_conjecture,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| ~ r1(esk36_1(esk38_1(esk40_1(esk1_0))),X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
cnf(c_0_71,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| r1(esk36_1(esk38_1(esk40_1(esk1_0))),esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_72,plain,
( p104(esk34_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_73,plain,
( p8(X1)
| ~ r1(esk40_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_67,c_0_7]) ).
cnf(c_0_74,plain,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| ~ r1(esk38_1(esk40_1(esk1_0)),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_68,c_0_49]) ).
cnf(c_0_75,plain,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| ~ r1(esk36_1(esk38_1(esk40_1(esk1_0))),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_59]) ).
cnf(c_0_76,plain,
( r1(X1,esk32_1(X1))
| p105(X1)
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_77,negated_conjecture,
( epred1_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p104(esk36_1(esk38_1(esk40_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_65]),c_0_66]) ).
cnf(c_0_79,plain,
( p102(esk40_1(esk1_0))
| p8(X1)
| ~ r1(esk38_1(esk40_1(esk1_0)),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_73,c_0_49]) ).
cnf(c_0_80,plain,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| ~ r1(esk36_1(esk38_1(esk40_1(esk1_0))),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_74,c_0_59]) ).
cnf(c_0_81,plain,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| ~ r1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))),X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_71]) ).
cnf(c_0_82,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| r1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))),esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_83,plain,
( p105(esk32_1(X1))
| p105(X1)
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_84,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p8(X1)
| ~ r1(esk36_1(esk38_1(esk40_1(esk1_0))),X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_79,c_0_59]) ).
cnf(c_0_85,plain,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| ~ r1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_71]) ).
cnf(c_0_86,plain,
( r1(X1,esk30_1(X1))
| p106(X1)
| ~ p105(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_87,plain,
( epred1_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))))
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_77]),c_0_78]) ).
cnf(c_0_89,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p8(X1)
| ~ r1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_71]) ).
cnf(c_0_90,plain,
( epred1_1(X1)
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| ~ r1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))),X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_82]) ).
cnf(c_0_91,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p106(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))))
| r1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))),esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_92,plain,
( p106(esk30_1(X1))
| p106(X1)
| ~ p105(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_93,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p8(X1)
| ~ r1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_82]) ).
cnf(c_0_94,plain,
( r1(X1,esk28_1(X1))
| p107(X1)
| ~ p106(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_95,plain,
( epred1_1(esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))))
| p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p106(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p106(esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))))
| p106(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_87]),c_0_88]) ).
cnf(c_0_97,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p106(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))))
| p8(X1)
| ~ r1(esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))),X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_91]) ).
cnf(c_0_98,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p106(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))))
| p107(esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))))
| r1(esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))),esk28_1(esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_99,plain,
( p107(X1)
| ~ p8(esk28_1(X1))
| ~ p106(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_100,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p106(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))))
| p107(esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))))
| p8(esk28_1(esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))))) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,plain,
( p106(X1)
| ~ p107(esk30_1(X1))
| ~ p105(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_102,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p106(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))))
| p107(esk30_1(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_96]),c_0_95]) ).
cnf(c_0_103,plain,
( p105(X1)
| ~ p106(esk32_1(X1))
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_104,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))
| p106(esk32_1(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0)))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_88]),c_0_87]) ).
cnf(c_0_105,plain,
( p104(X1)
| ~ p105(esk34_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_106,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0))))
| p105(esk34_1(esk36_1(esk38_1(esk40_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_78]),c_0_77]) ).
cnf(c_0_107,plain,
( p103(X1)
| ~ p104(esk36_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_108,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0)))
| p104(esk36_1(esk38_1(esk40_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_66]),c_0_65]) ).
cnf(c_0_109,plain,
( p102(X1)
| ~ p103(esk38_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_110,plain,
( p102(esk40_1(esk1_0))
| p103(esk38_1(esk40_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_55]),c_0_54]) ).
cnf(c_0_111,plain,
( p101(X1)
| ~ p102(esk40_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_112,plain,
p102(esk40_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_45]),c_0_46])]) ).
cnf(c_0_113,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_34]),c_0_35])]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL656+1.020 : 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
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 22:50:35 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 44.16/23.44 % Version : CSE_E---1.7
% 44.16/23.44 % Problem : theBenchmark.p
% 44.16/23.44 % SZS status Theorem for theBenchmark.p
% 44.16/23.44 % SZS output start CNFRefutation
% See solution above
% 44.16/23.46 % Total time : 22.416s
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