%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:16:05 PM UTC 2026
% Result : Theorem 0.45s 0.63s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 7 unt; 0 def)
% Number of atoms : 1497 ( 0 equ)
% Maximal formula atoms : 485 ( 37 avg)
% Number of connectives : 2657 (1200 ~; 924 |; 530 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 1 con; 0-1 aty)
% Number of variables : 242 ( 0 sgn 209 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(X1)
& ! [X2] :
( ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p102(X2)
| p101(X2) )
& ( ~ p103(X2)
| p102(X2) )
& ( ~ p104(X2)
| p103(X2) )
& ( ~ p105(X2)
| p104(X2) )
& ( ~ p106(X2)
| p105(X2) )
& ( ~ p107(X2)
| p106(X2) )
& ( ~ p108(X2)
| p107(X2) )
& ( ~ p109(X2)
| p108(X2) )
& ( ~ p110(X2)
| p109(X2) )
& ( ~ p111(X2)
| p110(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X2,X1) ) )
& ( p1(X2)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X2,X1) ) )
& ( p2(X2)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p102(X2)
| ( ( ~ p3(X2)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X2,X1) ) )
& ( p3(X2)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p103(X2)
| ( ( ~ p4(X2)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X2,X1) ) )
& ( p4(X2)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p104(X2)
| ( ( ~ p5(X2)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X2,X1) ) )
& ( p5(X2)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p105(X2)
| ( ( ~ p6(X2)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X2,X1) ) )
& ( p6(X2)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p106(X2)
| ( ( ~ p7(X2)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X2,X1) ) )
& ( p7(X2)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p107(X2)
| ( ( ~ p8(X2)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X2,X1) ) )
& ( p8(X2)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p108(X2)
| ( ( ~ p9(X2)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X2,X1) ) )
& ( p9(X2)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p109(X2)
| ( ( ~ p10(X2)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X2,X1) ) )
& ( p10(X2)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p110(X2)
| ( ( ~ p11(X2)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X2,X1) ) )
& ( p11(X2)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ ( p100(X2)
& ~ p101(X2) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p101(X2)
& ~ p102(X2) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p102(X2)
& ~ p103(X2) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p103(X2)
& ~ p104(X2) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p104(X2)
& ~ p105(X2) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p105(X2)
& ~ p106(X2) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p106(X2)
& ~ p107(X2) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p107(X2)
& ~ p108(X2) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p108(X2)
& ~ p109(X2) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p109(X2)
& ~ p110(X2) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X2,X1) ) ) ) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X2,X3)
& r1(X1,X2) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(X2)
<=> ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p102(X2)
| p101(X2) )
& ( ~ p103(X2)
| p102(X2) )
& ( ~ p104(X2)
| p103(X2) )
& ( ~ p105(X2)
| p104(X2) )
& ( ~ p106(X2)
| p105(X2) )
& ( ~ p107(X2)
| p106(X2) )
& ( ~ p108(X2)
| p107(X2) )
& ( ~ p109(X2)
| p108(X2) )
& ( ~ p110(X2)
| p109(X2) )
& ( ~ p111(X2)
| p110(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X2,X1) ) )
& ( p1(X2)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X2,X1) ) )
& ( p2(X2)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p102(X2)
| ( ( ~ p3(X2)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X2,X1) ) )
& ( p3(X2)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p103(X2)
| ( ( ~ p4(X2)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X2,X1) ) )
& ( p4(X2)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p104(X2)
| ( ( ~ p5(X2)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X2,X1) ) )
& ( p5(X2)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p105(X2)
| ( ( ~ p6(X2)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X2,X1) ) )
& ( p6(X2)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p106(X2)
| ( ( ~ p7(X2)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X2,X1) ) )
& ( p7(X2)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p107(X2)
| ( ( ~ p8(X2)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X2,X1) ) )
& ( p8(X2)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p108(X2)
| ( ( ~ p9(X2)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X2,X1) ) )
& ( p9(X2)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p109(X2)
| ( ( ~ p10(X2)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X2,X1) ) )
& ( p10(X2)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p110(X2)
| ( ( ~ p11(X2)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X2,X1) ) )
& ( p11(X2)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ ( p100(X2)
& ~ p101(X2) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p101(X2)
& ~ p102(X2) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p102(X2)
& ~ p103(X2) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p103(X2)
& ~ p104(X2) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p104(X2)
& ~ p105(X2) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p105(X2)
& ~ p106(X2) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p106(X2)
& ~ p107(X2) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p107(X2)
& ~ p108(X2) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p108(X2)
& ~ p109(X2) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p109(X2)
& ~ p110(X2) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X2,X1) ) ) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(X1)
& ! [X2] :
( ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p102(X2)
| p101(X2) )
& ( ~ p103(X2)
| p102(X2) )
& ( ~ p104(X2)
| p103(X2) )
& ( ~ p105(X2)
| p104(X2) )
& ( ~ p106(X2)
| p105(X2) )
& ( ~ p107(X2)
| p106(X2) )
& ( ~ p108(X2)
| p107(X2) )
& ( ~ p109(X2)
| p108(X2) )
& ( ~ p110(X2)
| p109(X2) )
& ( ~ p111(X2)
| p110(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X2,X1) ) )
& ( p1(X2)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X2,X1) ) )
& ( p2(X2)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p102(X2)
| ( ( ~ p3(X2)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X2,X1) ) )
& ( p3(X2)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p103(X2)
| ( ( ~ p4(X2)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X2,X1) ) )
& ( p4(X2)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p104(X2)
| ( ( ~ p5(X2)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X2,X1) ) )
& ( p5(X2)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p105(X2)
| ( ( ~ p6(X2)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X2,X1) ) )
& ( p6(X2)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p106(X2)
| ( ( ~ p7(X2)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X2,X1) ) )
& ( p7(X2)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p107(X2)
| ( ( ~ p8(X2)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X2,X1) ) )
& ( p8(X2)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p108(X2)
| ( ( ~ p9(X2)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X2,X1) ) )
& ( p9(X2)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p109(X2)
| ( ( ~ p10(X2)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X2,X1) ) )
& ( p10(X2)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p110(X2)
| ( ( ~ p11(X2)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X2,X1) ) )
& ( p11(X2)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ ( p100(X2)
& ~ p101(X2) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p101(X2)
& ~ p102(X2) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p102(X2)
& ~ p103(X2) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p103(X2)
& ~ p104(X2) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p104(X2)
& ~ p105(X2) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p105(X2)
& ~ p106(X2) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p106(X2)
& ~ p107(X2) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p107(X2)
& ~ p108(X2) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p108(X2)
& ~ p109(X2) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p109(X2)
& ~ p110(X2) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X2,X1) ) ) ) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_5,plain,
! [X2] :
( epred1_1(X2)
=> ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p102(X2)
| p101(X2) )
& ( ~ p103(X2)
| p102(X2) )
& ( ~ p104(X2)
| p103(X2) )
& ( ~ p105(X2)
| p104(X2) )
& ( ~ p106(X2)
| p105(X2) )
& ( ~ p107(X2)
| p106(X2) )
& ( ~ p108(X2)
| p107(X2) )
& ( ~ p109(X2)
| p108(X2) )
& ( ~ p110(X2)
| p109(X2) )
& ( ~ p111(X2)
| p110(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X2,X1) ) )
& ( p1(X2)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X2,X1) ) )
& ( p2(X2)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p102(X2)
| ( ( ~ p3(X2)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X2,X1) ) )
& ( p3(X2)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p103(X2)
| ( ( ~ p4(X2)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X2,X1) ) )
& ( p4(X2)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p104(X2)
| ( ( ~ p5(X2)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X2,X1) ) )
& ( p5(X2)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p105(X2)
| ( ( ~ p6(X2)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X2,X1) ) )
& ( p6(X2)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p106(X2)
| ( ( ~ p7(X2)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X2,X1) ) )
& ( p7(X2)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p107(X2)
| ( ( ~ p8(X2)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X2,X1) ) )
& ( p8(X2)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p108(X2)
| ( ( ~ p9(X2)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X2,X1) ) )
& ( p9(X2)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p109(X2)
| ( ( ~ p10(X2)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X2,X1) ) )
& ( p10(X2)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p110(X2)
| ( ( ~ p11(X2)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X2,X1) ) )
& ( p11(X2)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ ( p100(X2)
& ~ p101(X2) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p101(X2)
& ~ p102(X2) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p102(X2)
& ~ p103(X2) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p103(X2)
& ~ p104(X2) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p104(X2)
& ~ p105(X2) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p105(X2)
& ~ p106(X2) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p106(X2)
& ~ p107(X2) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p107(X2)
& ~ p108(X2) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p108(X2)
& ~ p109(X2) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p109(X2)
& ~ p110(X2) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X2,X1) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_6,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(X1)
& ! [X2] :
( epred1_1(X2)
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4]),c_0_3]) ).
fof(c_0_7,plain,
! [X11,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53] :
( ( ~ epred1_1(X11)
| ~ p101(X11)
| p100(X11) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p101(X11) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p102(X11) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p103(X11) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p104(X11) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p105(X11) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p106(X11) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p107(X11) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p108(X11) )
& ( ~ epred1_1(X11)
| ~ p110(X11)
| p109(X11) )
& ( ~ epred1_1(X11)
| ~ p111(X11)
| p110(X11) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| ~ p1(X11)
| ~ p100(X53)
| p1(X53)
| ~ r1(X11,X53) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| p1(X11)
| ~ p100(X52)
| ~ p1(X52)
| ~ r1(X11,X52) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| ~ p2(X11)
| ~ p101(X51)
| p2(X51)
| ~ r1(X11,X51) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| p2(X11)
| ~ p101(X50)
| ~ p2(X50)
| ~ r1(X11,X50) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| ~ p3(X11)
| ~ p102(X49)
| p3(X49)
| ~ r1(X11,X49) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p3(X11)
| ~ p102(X48)
| ~ p3(X48)
| ~ r1(X11,X48) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| ~ p4(X11)
| ~ p103(X47)
| p4(X47)
| ~ r1(X11,X47) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p4(X11)
| ~ p103(X46)
| ~ p4(X46)
| ~ r1(X11,X46) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| ~ p5(X11)
| ~ p104(X45)
| p5(X45)
| ~ r1(X11,X45) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p5(X11)
| ~ p104(X44)
| ~ p5(X44)
| ~ r1(X11,X44) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| ~ p6(X11)
| ~ p105(X43)
| p6(X43)
| ~ r1(X11,X43) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p6(X11)
| ~ p105(X42)
| ~ p6(X42)
| ~ r1(X11,X42) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| ~ p7(X11)
| ~ p106(X41)
| p7(X41)
| ~ r1(X11,X41) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p7(X11)
| ~ p106(X40)
| ~ p7(X40)
| ~ r1(X11,X40) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| ~ p8(X11)
| ~ p107(X39)
| p8(X39)
| ~ r1(X11,X39) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p8(X11)
| ~ p107(X38)
| ~ p8(X38)
| ~ r1(X11,X38) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| ~ p9(X11)
| ~ p108(X37)
| p9(X37)
| ~ r1(X11,X37) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p9(X11)
| ~ p108(X36)
| ~ p9(X36)
| ~ r1(X11,X36) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| ~ p10(X11)
| ~ p109(X35)
| p10(X35)
| ~ r1(X11,X35) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p10(X11)
| ~ p109(X34)
| ~ p10(X34)
| ~ r1(X11,X34) )
& ( ~ epred1_1(X11)
| ~ p110(X11)
| ~ p11(X11)
| ~ p110(X33)
| p11(X33)
| ~ r1(X11,X33) )
& ( ~ epred1_1(X11)
| ~ p110(X11)
| p11(X11)
| ~ p110(X32)
| ~ p11(X32)
| ~ r1(X11,X32) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| p101(X11)
| p101(esk21_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| p101(X11)
| ~ p102(esk21_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| p101(X11)
| p2(esk21_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| p101(X11)
| r1(X11,esk21_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| p101(X11)
| p101(esk20_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| p101(X11)
| ~ p102(esk20_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| p101(X11)
| ~ p2(esk20_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p100(X11)
| p101(X11)
| r1(X11,esk20_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| p102(X11)
| p102(esk19_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| p102(X11)
| ~ p103(esk19_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| p102(X11)
| p3(esk19_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| p102(X11)
| r1(X11,esk19_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| p102(X11)
| p102(esk18_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| p102(X11)
| ~ p103(esk18_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| p102(X11)
| ~ p3(esk18_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p101(X11)
| p102(X11)
| r1(X11,esk18_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p103(X11)
| p103(esk17_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p103(X11)
| ~ p104(esk17_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p103(X11)
| p4(esk17_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p103(X11)
| r1(X11,esk17_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p103(X11)
| p103(esk16_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p103(X11)
| ~ p104(esk16_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p103(X11)
| ~ p4(esk16_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p102(X11)
| p103(X11)
| r1(X11,esk16_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p104(X11)
| p104(esk15_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p104(X11)
| ~ p105(esk15_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p104(X11)
| p5(esk15_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p104(X11)
| r1(X11,esk15_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p104(X11)
| p104(esk14_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p104(X11)
| ~ p105(esk14_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p104(X11)
| ~ p5(esk14_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p103(X11)
| p104(X11)
| r1(X11,esk14_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p105(X11)
| p105(esk13_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p105(X11)
| ~ p106(esk13_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p105(X11)
| p6(esk13_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p105(X11)
| r1(X11,esk13_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p105(X11)
| p105(esk12_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p105(X11)
| ~ p106(esk12_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p105(X11)
| ~ p6(esk12_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p104(X11)
| p105(X11)
| r1(X11,esk12_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p106(X11)
| p106(esk11_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p106(X11)
| ~ p107(esk11_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p106(X11)
| p7(esk11_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p106(X11)
| r1(X11,esk11_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p106(X11)
| p106(esk10_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p106(X11)
| ~ p107(esk10_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p106(X11)
| ~ p7(esk10_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p105(X11)
| p106(X11)
| r1(X11,esk10_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p107(X11)
| p107(esk9_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p107(X11)
| ~ p108(esk9_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p107(X11)
| p8(esk9_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p107(X11)
| r1(X11,esk9_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p107(X11)
| p107(esk8_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p107(X11)
| ~ p108(esk8_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p107(X11)
| ~ p8(esk8_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p106(X11)
| p107(X11)
| r1(X11,esk8_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p108(X11)
| p108(esk7_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p108(X11)
| ~ p109(esk7_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p108(X11)
| p9(esk7_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p108(X11)
| r1(X11,esk7_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p108(X11)
| p108(esk6_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p108(X11)
| ~ p109(esk6_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p108(X11)
| ~ p9(esk6_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p107(X11)
| p108(X11)
| r1(X11,esk6_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p109(X11)
| p109(esk5_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p109(X11)
| ~ p110(esk5_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p109(X11)
| p10(esk5_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p109(X11)
| r1(X11,esk5_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p109(X11)
| p109(esk4_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p109(X11)
| ~ p110(esk4_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p109(X11)
| ~ p10(esk4_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p108(X11)
| p109(X11)
| r1(X11,esk4_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p110(X11)
| p110(esk3_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p110(X11)
| ~ p111(esk3_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p110(X11)
| p11(esk3_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p110(X11)
| r1(X11,esk3_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p110(X11)
| p110(esk2_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p110(X11)
| ~ p111(esk2_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p110(X11)
| ~ p11(esk2_1(X11)) )
& ( ~ epred1_1(X11)
| ~ p109(X11)
| p110(X11)
| r1(X11,esk2_1(X11)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X9,X10] :
( p100(esk1_0)
& ~ p101(esk1_0)
& ( epred1_1(X10)
| ~ r1(esk1_0,X10) )
& ( p5(X9)
| ~ r1(esk1_0,X9) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_9,plain,
! [X5,X6,X7] :
( r1(X5,X7)
| ~ r1(X6,X7)
| ~ r1(X5,X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])])]) ).
cnf(c_0_10,plain,
( ~ epred1_1(X1)
| ~ p103(X1)
| ~ p5(esk14_1(X1))
| p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( ~ r1(esk1_0,X1)
| p5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ r1(X2,X3)
| ~ r1(X1,X2)
| r1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ epred1_1(X1)
| ~ p103(X1)
| p104(X1)
| r1(X1,esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( ~ r1(esk1_0,esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1)
| p104(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( ~ r1(X2,X1)
| ~ p103(X1)
| ~ epred1_1(X1)
| r1(X2,esk14_1(X1))
| p104(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( ~ r1(esk1_0,X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p103(X1)
| p104(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_18,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| p103(X1)
| p103(esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk17_1(X1))
| p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| p103(X1)
| r1(X1,esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( ~ r1(esk1_0,esk17_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1)
| p103(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,plain,
( ~ r1(X2,X1)
| ~ p102(X1)
| ~ epred1_1(X1)
| r1(X2,esk17_1(X1))
| p103(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_23,plain,
( ~ r1(esk1_0,X1)
| ~ p102(X1)
| p103(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_16]) ).
cnf(c_0_24,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| p102(X1)
| p102(esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk19_1(X1))
| p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| p102(X1)
| r1(X1,esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
( ~ r1(esk1_0,esk19_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1)
| p102(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,plain,
( ~ r1(X2,X1)
| ~ p101(X1)
| ~ epred1_1(X1)
| r1(X2,esk19_1(X1))
| p102(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
fof(c_0_29,plain,
! [X4] : r1(X4,X4),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_30,plain,
( ~ r1(esk1_0,X1)
| ~ p101(X1)
| p102(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_16]) ).
cnf(c_0_31,plain,
( ~ epred1_1(X1)
| ~ p100(X1)
| p101(X1)
| p101(esk21_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,plain,
( ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk21_1(X1))
| p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( ~ r1(esk1_0,esk21_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1)
| p101(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_35,plain,
( ~ epred1_1(X1)
| ~ p100(X1)
| p101(X1)
| r1(X1,esk21_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_16,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_38,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n014.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Mon Sep 21 00:53:35 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.18/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.53 Running first-order theorem proving
% 0.22/0.53 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.63 % Version: 3.5.1
% 0.45/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.45/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.45/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.45/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.45/0.63 % Starting sh5l with 300s (1) cores
% 0.45/0.63 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2805121 completed with status 0
% 0.45/0.63 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.45/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.45/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.45/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.45/0.63 % No SInE strategy applied
% 0.45/0.63 % Search class: FGUNF-FSMF11-SFFFFFNN
% 0.45/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.45/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.45/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.45/0.63 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.45/0.63 % Starting new_bool_3 with 136s (1) cores
% 0.45/0.63 % Starting new_bool_1 with 136s (1) cores
% 0.45/0.63 % SubtermCWHack with pid 2805125 completed with status 0
% 0.45/0.63 % Result found by SubtermCWHack
% 0.45/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.45/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.45/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.45/0.63 % No SInE strategy applied
% 0.45/0.63 % Search class: FGUNF-FSMF11-SFFFFFNN
% 0.45/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.45/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.45/0.63 % Preprocessing time : 0.003 s
% 0.45/0.63
% 0.45/0.63 % Proof found!
% 0.45/0.63 % SZS status Theorem
% 0.45/0.63 % SZS output start CNFRefutation
% See solution above
% 0.45/0.64 % Parsed axioms : 3
% 0.45/0.64 % Removed by relevancy pruning/SinE : 0
% 0.45/0.64 % Initial clauses : 119
% 0.45/0.64 % Removed in clause preprocessing : 0
% 0.45/0.64 % Initial clauses in saturation : 119
% 0.45/0.64 % Processed clauses : 263
% 0.45/0.64 % ...of these trivial : 0
% 0.45/0.64 % ...subsumed : 27
% 0.45/0.64 % ...remaining for further processing : 236
% 0.45/0.64 % Other redundant clauses eliminated : 0
% 0.45/0.64 % Clauses deleted for lack of memory : 0
% 0.45/0.64 % Backward-subsumed : 4
% 0.45/0.64 % Backward-rewritten : 0
% 0.45/0.64 % Generated clauses : 1072
% 0.45/0.64 % ...of the previous two non-redundant : 1005
% 0.45/0.64 % ...aggressively subsumed : 0
% 0.45/0.64 % Contextual simplify-reflections : 26
% 0.45/0.64 % Paramodulations : 1072
% 0.45/0.64 % Factorizations : 0
% 0.45/0.64 % NegExts : 0
% 0.45/0.64 % Equation resolutions : 0
% 0.45/0.64 % Disequality decompositions : 0
% 0.45/0.64 % Total rewrite steps : 37
% 0.45/0.64 % ...of those cached : 35
% 0.45/0.64 % Propositional unsat checks : 0
% 0.45/0.64 % Propositional check models : 0
% 0.45/0.64 % Propositional check unsatisfiable : 0
% 0.45/0.64 % Propositional clauses : 0
% 0.45/0.64 % Propositional clauses after purity: 0
% 0.45/0.64 % Propositional unsat core size : 0
% 0.45/0.64 % Propositional preprocessing time : 0.000
% 0.45/0.64 % Propositional encoding time : 0.000
% 0.45/0.64 % Propositional solver time : 0.000
% 0.45/0.64 % Success case prop preproc time : 0.000
% 0.45/0.64 % Success case prop encoding time : 0.000
% 0.45/0.64 % Success case prop solver time : 0.000
% 0.45/0.64 % Current number of processed clauses : 232
% 0.45/0.64 % Positive orientable unit clauses : 5
% 0.45/0.64 % Positive unorientable unit clauses: 0
% 0.45/0.64 % Negative unit clauses : 9
% 0.45/0.64 % Non-unit-clauses : 218
% 0.45/0.64 % Current number of unprocessed clauses: 860
% 0.45/0.64 % ...number of literals in the above : 6838
% 0.45/0.64 % Current number of archived formulas : 0
% 0.45/0.64 % Current number of archived clauses : 4
% 0.45/0.64 % Clause-clause subsumption calls (NU) : 6969
% 0.45/0.64 % Rec. Clause-clause subsumption calls : 866
% 0.45/0.64 % Non-unit clause-clause subsumptions : 34
% 0.45/0.64 % Unit Clause-clause subsumption calls : 140
% 0.45/0.64 % Rewrite failures with RHS unbound : 0
% 0.45/0.64 % BW rewrite match attempts : 0
% 0.45/0.64 % BW rewrite match successes : 0
% 0.45/0.64 % Condensation attempts : 0
% 0.45/0.64 % Condensation successes : 0
% 0.45/0.64 % Termbank termtop insertions : 29681
% 0.45/0.64 % Search garbage collected termcells : 1670
% 0.45/0.64
% 0.45/0.64 % -------------------------------------------------
% 0.45/0.64 % User time : 0.062 s
% 0.45/0.64 % System time : 0.010 s
% 0.45/0.64 % Total time : 0.072 s
% 0.45/0.64 % Maximum resident set size: 4200 pages
% 0.45/0.64
% 0.45/0.64 % -------------------------------------------------
% 0.45/0.64 % User time : 0.232 s
% 0.45/0.64 % System time : 0.029 s
% 0.45/0.64 % Total time : 0.261 s
% 0.45/0.64 % Maximum resident set size: 4608 pages
% 0.45/0.64 % E exiting
%------------------------------------------------------------------------------