%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL656+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 : n017.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 01:15:17 PM UTC 2026
% Result : Theorem 0.17s 0.57s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 63 ( 21 unt; 0 def)
% Number of atoms : 1669 ( 0 equ)
% Maximal formula atoms : 485 ( 26 avg)
% Number of connectives : 2964 (1358 ~;1075 |; 529 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 10 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 1 con; 0-1 aty)
% Number of variables : 404 ( 0 sgn 275 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(X1)
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X2] :
( ~ p101(X2)
| p2(X2)
| ~ r1(X1,X2) ) )
& ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X2] :
( ~ p102(X2)
| p3(X2)
| ~ r1(X1,X2) ) )
& ( p3(X1)
| ! [X2] :
( ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X2] :
( ~ p103(X2)
| p4(X2)
| ~ r1(X1,X2) ) )
& ( p4(X1)
| ! [X2] :
( ~ p103(X2)
| ~ p4(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X2] :
( ~ p104(X2)
| p5(X2)
| ~ r1(X1,X2) ) )
& ( p5(X1)
| ! [X2] :
( ~ p104(X2)
| ~ p5(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X2] :
( ~ p105(X2)
| p6(X2)
| ~ r1(X1,X2) ) )
& ( p6(X1)
| ! [X2] :
( ~ p105(X2)
| ~ p6(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X2] :
( ~ p106(X2)
| p7(X2)
| ~ r1(X1,X2) ) )
& ( p7(X1)
| ! [X2] :
( ~ p106(X2)
| ~ p7(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X2] :
( ~ p107(X2)
| p8(X2)
| ~ r1(X1,X2) ) )
& ( p8(X1)
| ! [X2] :
( ~ p107(X2)
| ~ p8(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X2] :
( ~ p108(X2)
| p9(X2)
| ~ r1(X1,X2) ) )
& ( p9(X1)
| ! [X2] :
( ~ p108(X2)
| ~ p9(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X2] :
( ~ p109(X2)
| p10(X2)
| ~ r1(X1,X2) ) )
& ( p10(X1)
| ! [X2] :
( ~ p109(X2)
| ~ p10(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X2] :
( ~ p110(X2)
| p11(X2)
| ~ r1(X1,X2) ) )
& ( p11(X1)
| ! [X2] :
( ~ p110(X2)
| ~ p11(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X2] :
( ~ ( p101(X2)
& ~ p102(X2)
& p2(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p101(X2)
& ~ p102(X2)
& ~ p2(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X2] :
( ~ ( p102(X2)
& ~ p103(X2)
& p3(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p102(X2)
& ~ p103(X2)
& ~ p3(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X2] :
( ~ ( p103(X2)
& ~ p104(X2)
& p4(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p103(X2)
& ~ p104(X2)
& ~ p4(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X2] :
( ~ ( p104(X2)
& ~ p105(X2)
& p5(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p104(X2)
& ~ p105(X2)
& ~ p5(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X2] :
( ~ ( p105(X2)
& ~ p106(X2)
& p6(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p105(X2)
& ~ p106(X2)
& ~ p6(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X2] :
( ~ ( p106(X2)
& ~ p107(X2)
& p7(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p106(X2)
& ~ p107(X2)
& ~ p7(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X2] :
( ~ ( p107(X2)
& ~ p108(X2)
& p8(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p107(X2)
& ~ p108(X2)
& ~ p8(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X2] :
( ~ ( p108(X2)
& ~ p109(X2)
& p9(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p108(X2)
& ~ p109(X2)
& ~ p9(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X2] :
( ~ ( p109(X2)
& ~ p110(X2)
& p10(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p109(X2)
& ~ p110(X2)
& ~ p10(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X2] :
( ~ ( p110(X2)
& ~ p111(X2)
& p11(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p110(X2)
& ~ p111(X2)
& ~ p11(X2) )
| ~ r1(X1,X2) ) ) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(X1)
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X2] :
( ~ p101(X2)
| p2(X2)
| ~ r1(X1,X2) ) )
& ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X2] :
( ~ p102(X2)
| p3(X2)
| ~ r1(X1,X2) ) )
& ( p3(X1)
| ! [X2] :
( ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X2] :
( ~ p103(X2)
| p4(X2)
| ~ r1(X1,X2) ) )
& ( p4(X1)
| ! [X2] :
( ~ p103(X2)
| ~ p4(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X2] :
( ~ p104(X2)
| p5(X2)
| ~ r1(X1,X2) ) )
& ( p5(X1)
| ! [X2] :
( ~ p104(X2)
| ~ p5(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X2] :
( ~ p105(X2)
| p6(X2)
| ~ r1(X1,X2) ) )
& ( p6(X1)
| ! [X2] :
( ~ p105(X2)
| ~ p6(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X2] :
( ~ p106(X2)
| p7(X2)
| ~ r1(X1,X2) ) )
& ( p7(X1)
| ! [X2] :
( ~ p106(X2)
| ~ p7(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X2] :
( ~ p107(X2)
| p8(X2)
| ~ r1(X1,X2) ) )
& ( p8(X1)
| ! [X2] :
( ~ p107(X2)
| ~ p8(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X2] :
( ~ p108(X2)
| p9(X2)
| ~ r1(X1,X2) ) )
& ( p9(X1)
| ! [X2] :
( ~ p108(X2)
| ~ p9(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X2] :
( ~ p109(X2)
| p10(X2)
| ~ r1(X1,X2) ) )
& ( p10(X1)
| ! [X2] :
( ~ p109(X2)
| ~ p10(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X2] :
( ~ p110(X2)
| p11(X2)
| ~ r1(X1,X2) ) )
& ( p11(X1)
| ! [X2] :
( ~ p110(X2)
| ~ p11(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X2] :
( ~ ( p101(X2)
& ~ p102(X2)
& p2(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p101(X2)
& ~ p102(X2)
& ~ p2(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X2] :
( ~ ( p102(X2)
& ~ p103(X2)
& p3(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p102(X2)
& ~ p103(X2)
& ~ p3(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X2] :
( ~ ( p103(X2)
& ~ p104(X2)
& p4(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p103(X2)
& ~ p104(X2)
& ~ p4(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X2] :
( ~ ( p104(X2)
& ~ p105(X2)
& p5(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p104(X2)
& ~ p105(X2)
& ~ p5(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X2] :
( ~ ( p105(X2)
& ~ p106(X2)
& p6(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p105(X2)
& ~ p106(X2)
& ~ p6(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X2] :
( ~ ( p106(X2)
& ~ p107(X2)
& p7(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p106(X2)
& ~ p107(X2)
& ~ p7(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X2] :
( ~ ( p107(X2)
& ~ p108(X2)
& p8(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p107(X2)
& ~ p108(X2)
& ~ p8(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X2] :
( ~ ( p108(X2)
& ~ p109(X2)
& p9(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p108(X2)
& ~ p109(X2)
& ~ p9(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X2] :
( ~ ( p109(X2)
& ~ p110(X2)
& p10(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p109(X2)
& ~ p110(X2)
& ~ p10(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X2] :
( ~ ( p110(X2)
& ~ p111(X2)
& p11(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p110(X2)
& ~ p111(X2)
& ~ p11(X2) )
| ~ r1(X1,X2) ) ) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_3,plain,
! [X1] :
( epred1_1(X1)
<=> ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X2] :
( ~ p101(X2)
| p2(X2)
| ~ r1(X1,X2) ) )
& ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X2] :
( ~ p102(X2)
| p3(X2)
| ~ r1(X1,X2) ) )
& ( p3(X1)
| ! [X2] :
( ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X2] :
( ~ p103(X2)
| p4(X2)
| ~ r1(X1,X2) ) )
& ( p4(X1)
| ! [X2] :
( ~ p103(X2)
| ~ p4(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X2] :
( ~ p104(X2)
| p5(X2)
| ~ r1(X1,X2) ) )
& ( p5(X1)
| ! [X2] :
( ~ p104(X2)
| ~ p5(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X2] :
( ~ p105(X2)
| p6(X2)
| ~ r1(X1,X2) ) )
& ( p6(X1)
| ! [X2] :
( ~ p105(X2)
| ~ p6(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X2] :
( ~ p106(X2)
| p7(X2)
| ~ r1(X1,X2) ) )
& ( p7(X1)
| ! [X2] :
( ~ p106(X2)
| ~ p7(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X2] :
( ~ p107(X2)
| p8(X2)
| ~ r1(X1,X2) ) )
& ( p8(X1)
| ! [X2] :
( ~ p107(X2)
| ~ p8(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X2] :
( ~ p108(X2)
| p9(X2)
| ~ r1(X1,X2) ) )
& ( p9(X1)
| ! [X2] :
( ~ p108(X2)
| ~ p9(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X2] :
( ~ p109(X2)
| p10(X2)
| ~ r1(X1,X2) ) )
& ( p10(X1)
| ! [X2] :
( ~ p109(X2)
| ~ p10(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X2] :
( ~ p110(X2)
| p11(X2)
| ~ r1(X1,X2) ) )
& ( p11(X1)
| ! [X2] :
( ~ p110(X2)
| ~ p11(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X2] :
( ~ ( p101(X2)
& ~ p102(X2)
& p2(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p101(X2)
& ~ p102(X2)
& ~ p2(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X2] :
( ~ ( p102(X2)
& ~ p103(X2)
& p3(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p102(X2)
& ~ p103(X2)
& ~ p3(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X2] :
( ~ ( p103(X2)
& ~ p104(X2)
& p4(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p103(X2)
& ~ p104(X2)
& ~ p4(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X2] :
( ~ ( p104(X2)
& ~ p105(X2)
& p5(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p104(X2)
& ~ p105(X2)
& ~ p5(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X2] :
( ~ ( p105(X2)
& ~ p106(X2)
& p6(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p105(X2)
& ~ p106(X2)
& ~ p6(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X2] :
( ~ ( p106(X2)
& ~ p107(X2)
& p7(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p106(X2)
& ~ p107(X2)
& ~ p7(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X2] :
( ~ ( p107(X2)
& ~ p108(X2)
& p8(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p107(X2)
& ~ p108(X2)
& ~ p8(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X2] :
( ~ ( p108(X2)
& ~ p109(X2)
& p9(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p108(X2)
& ~ p109(X2)
& ~ p9(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X2] :
( ~ ( p109(X2)
& ~ p110(X2)
& p10(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p109(X2)
& ~ p110(X2)
& ~ p10(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X2] :
( ~ ( p110(X2)
& ~ p111(X2)
& p11(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p110(X2)
& ~ p111(X2)
& ~ p11(X2) )
| ~ r1(X1,X2) ) ) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(X1)
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( epred1_1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( p5(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]),c_0_3]) ).
fof(c_0_5,negated_conjecture,
! [X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
( p100(esk1_0)
& ~ p101(esk1_0)
& ( epred1_1(X24)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(esk1_0,X15) )
& ( p5(X14)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) ) ),
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_4])])])])]) ).
fof(c_0_6,plain,
! [X3] : r1(X3,X3),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_7,negated_conjecture,
( ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| epred1_1(X10) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( ~ r1(X2,X9)
| ~ r1(X9,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( ~ r1(X2,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ r1(X2,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( ~ r1(X2,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(X2,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ r1(X2,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| p5(X10) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_17,plain,
! [X1] :
( epred1_1(X1)
=> ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X2] :
( ~ p101(X2)
| p2(X2)
| ~ r1(X1,X2) ) )
& ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X2] :
( ~ p102(X2)
| p3(X2)
| ~ r1(X1,X2) ) )
& ( p3(X1)
| ! [X2] :
( ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X2] :
( ~ p103(X2)
| p4(X2)
| ~ r1(X1,X2) ) )
& ( p4(X1)
| ! [X2] :
( ~ p103(X2)
| ~ p4(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X2] :
( ~ p104(X2)
| p5(X2)
| ~ r1(X1,X2) ) )
& ( p5(X1)
| ! [X2] :
( ~ p104(X2)
| ~ p5(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X2] :
( ~ p105(X2)
| p6(X2)
| ~ r1(X1,X2) ) )
& ( p6(X1)
| ! [X2] :
( ~ p105(X2)
| ~ p6(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X2] :
( ~ p106(X2)
| p7(X2)
| ~ r1(X1,X2) ) )
& ( p7(X1)
| ! [X2] :
( ~ p106(X2)
| ~ p7(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X2] :
( ~ p107(X2)
| p8(X2)
| ~ r1(X1,X2) ) )
& ( p8(X1)
| ! [X2] :
( ~ p107(X2)
| ~ p8(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X2] :
( ~ p108(X2)
| p9(X2)
| ~ r1(X1,X2) ) )
& ( p9(X1)
| ! [X2] :
( ~ p108(X2)
| ~ p9(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X2] :
( ~ p109(X2)
| p10(X2)
| ~ r1(X1,X2) ) )
& ( p10(X1)
| ! [X2] :
( ~ p109(X2)
| ~ p10(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X2] :
( ~ p110(X2)
| p11(X2)
| ~ r1(X1,X2) ) )
& ( p11(X1)
| ! [X2] :
( ~ p110(X2)
| ~ p11(X2)
| ~ r1(X1,X2) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X2] :
( ~ ( p101(X2)
& ~ p102(X2)
& p2(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p101(X2)
& ~ p102(X2)
& ~ p2(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X2] :
( ~ ( p102(X2)
& ~ p103(X2)
& p3(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p102(X2)
& ~ p103(X2)
& ~ p3(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X2] :
( ~ ( p103(X2)
& ~ p104(X2)
& p4(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p103(X2)
& ~ p104(X2)
& ~ p4(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X2] :
( ~ ( p104(X2)
& ~ p105(X2)
& p5(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p104(X2)
& ~ p105(X2)
& ~ p5(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X2] :
( ~ ( p105(X2)
& ~ p106(X2)
& p6(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p105(X2)
& ~ p106(X2)
& ~ p6(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X2] :
( ~ ( p106(X2)
& ~ p107(X2)
& p7(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p106(X2)
& ~ p107(X2)
& ~ p7(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X2] :
( ~ ( p107(X2)
& ~ p108(X2)
& p8(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p107(X2)
& ~ p108(X2)
& ~ p8(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X2] :
( ~ ( p108(X2)
& ~ p109(X2)
& p9(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p108(X2)
& ~ p109(X2)
& ~ p9(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X2] :
( ~ ( p109(X2)
& ~ p110(X2)
& p10(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p109(X2)
& ~ p110(X2)
& ~ p10(X2) )
| ~ r1(X1,X2) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X2] :
( ~ ( p110(X2)
& ~ p111(X2)
& p11(X2) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ~ ( p110(X2)
& ~ p111(X2)
& ~ p11(X2) )
| ~ r1(X1,X2) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
cnf(c_0_18,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_8]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1(X2,X9)
| ~ r1(X9,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_8]) ).
fof(c_0_20,plain,
! [X25,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67] :
( ( ~ epred1_1(X25)
| ~ p101(X25)
| p100(X25) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p101(X25) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p102(X25) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p103(X25) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p104(X25) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p105(X25) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p106(X25) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p107(X25) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p108(X25) )
& ( ~ epred1_1(X25)
| ~ p110(X25)
| p109(X25) )
& ( ~ epred1_1(X25)
| ~ p111(X25)
| p110(X25) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| ~ p1(X25)
| ~ p100(X67)
| p1(X67)
| ~ r1(X25,X67) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| p1(X25)
| ~ p100(X66)
| ~ p1(X66)
| ~ r1(X25,X66) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| ~ p2(X25)
| ~ p101(X65)
| p2(X65)
| ~ r1(X25,X65) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| p2(X25)
| ~ p101(X64)
| ~ p2(X64)
| ~ r1(X25,X64) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| ~ p3(X25)
| ~ p102(X63)
| p3(X63)
| ~ r1(X25,X63) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p3(X25)
| ~ p102(X62)
| ~ p3(X62)
| ~ r1(X25,X62) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| ~ p4(X25)
| ~ p103(X61)
| p4(X61)
| ~ r1(X25,X61) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p4(X25)
| ~ p103(X60)
| ~ p4(X60)
| ~ r1(X25,X60) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| ~ p5(X25)
| ~ p104(X59)
| p5(X59)
| ~ r1(X25,X59) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p5(X25)
| ~ p104(X58)
| ~ p5(X58)
| ~ r1(X25,X58) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| ~ p6(X25)
| ~ p105(X57)
| p6(X57)
| ~ r1(X25,X57) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p6(X25)
| ~ p105(X56)
| ~ p6(X56)
| ~ r1(X25,X56) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| ~ p7(X25)
| ~ p106(X55)
| p7(X55)
| ~ r1(X25,X55) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p7(X25)
| ~ p106(X54)
| ~ p7(X54)
| ~ r1(X25,X54) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| ~ p8(X25)
| ~ p107(X53)
| p8(X53)
| ~ r1(X25,X53) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p8(X25)
| ~ p107(X52)
| ~ p8(X52)
| ~ r1(X25,X52) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| ~ p9(X25)
| ~ p108(X51)
| p9(X51)
| ~ r1(X25,X51) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p9(X25)
| ~ p108(X50)
| ~ p9(X50)
| ~ r1(X25,X50) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| ~ p10(X25)
| ~ p109(X49)
| p10(X49)
| ~ r1(X25,X49) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p10(X25)
| ~ p109(X48)
| ~ p10(X48)
| ~ r1(X25,X48) )
& ( ~ epred1_1(X25)
| ~ p110(X25)
| ~ p11(X25)
| ~ p110(X47)
| p11(X47)
| ~ r1(X25,X47) )
& ( ~ epred1_1(X25)
| ~ p110(X25)
| p11(X25)
| ~ p110(X46)
| ~ p11(X46)
| ~ r1(X25,X46) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| p101(X25)
| p101(esk21_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| p101(X25)
| ~ p102(esk21_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| p101(X25)
| p2(esk21_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| p101(X25)
| r1(X25,esk21_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| p101(X25)
| p101(esk20_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| p101(X25)
| ~ p102(esk20_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| p101(X25)
| ~ p2(esk20_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p100(X25)
| p101(X25)
| r1(X25,esk20_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| p102(X25)
| p102(esk19_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| p102(X25)
| ~ p103(esk19_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| p102(X25)
| p3(esk19_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| p102(X25)
| r1(X25,esk19_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| p102(X25)
| p102(esk18_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| p102(X25)
| ~ p103(esk18_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| p102(X25)
| ~ p3(esk18_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p101(X25)
| p102(X25)
| r1(X25,esk18_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p103(X25)
| p103(esk17_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p103(X25)
| ~ p104(esk17_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p103(X25)
| p4(esk17_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p103(X25)
| r1(X25,esk17_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p103(X25)
| p103(esk16_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p103(X25)
| ~ p104(esk16_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p103(X25)
| ~ p4(esk16_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p102(X25)
| p103(X25)
| r1(X25,esk16_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p104(X25)
| p104(esk15_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p104(X25)
| ~ p105(esk15_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p104(X25)
| p5(esk15_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p104(X25)
| r1(X25,esk15_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p104(X25)
| p104(esk14_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p104(X25)
| ~ p105(esk14_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p104(X25)
| ~ p5(esk14_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p103(X25)
| p104(X25)
| r1(X25,esk14_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p105(X25)
| p105(esk13_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p105(X25)
| ~ p106(esk13_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p105(X25)
| p6(esk13_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p105(X25)
| r1(X25,esk13_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p105(X25)
| p105(esk12_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p105(X25)
| ~ p106(esk12_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p105(X25)
| ~ p6(esk12_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p104(X25)
| p105(X25)
| r1(X25,esk12_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p106(X25)
| p106(esk11_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p106(X25)
| ~ p107(esk11_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p106(X25)
| p7(esk11_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p106(X25)
| r1(X25,esk11_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p106(X25)
| p106(esk10_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p106(X25)
| ~ p107(esk10_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p106(X25)
| ~ p7(esk10_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p105(X25)
| p106(X25)
| r1(X25,esk10_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p107(X25)
| p107(esk9_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p107(X25)
| ~ p108(esk9_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p107(X25)
| p8(esk9_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p107(X25)
| r1(X25,esk9_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p107(X25)
| p107(esk8_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p107(X25)
| ~ p108(esk8_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p107(X25)
| ~ p8(esk8_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p106(X25)
| p107(X25)
| r1(X25,esk8_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p108(X25)
| p108(esk7_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p108(X25)
| ~ p109(esk7_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p108(X25)
| p9(esk7_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p108(X25)
| r1(X25,esk7_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p108(X25)
| p108(esk6_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p108(X25)
| ~ p109(esk6_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p108(X25)
| ~ p9(esk6_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p107(X25)
| p108(X25)
| r1(X25,esk6_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p109(X25)
| p109(esk5_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p109(X25)
| ~ p110(esk5_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p109(X25)
| p10(esk5_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p109(X25)
| r1(X25,esk5_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p109(X25)
| p109(esk4_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p109(X25)
| ~ p110(esk4_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p109(X25)
| ~ p10(esk4_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p108(X25)
| p109(X25)
| r1(X25,esk4_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p110(X25)
| p110(esk3_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p110(X25)
| ~ p111(esk3_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p110(X25)
| p11(esk3_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p110(X25)
| r1(X25,esk3_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p110(X25)
| p110(esk2_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p110(X25)
| ~ p111(esk2_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p110(X25)
| ~ p11(esk2_1(X25)) )
& ( ~ epred1_1(X25)
| ~ p109(X25)
| p110(X25)
| r1(X25,esk2_1(X25)) ) ),
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_17])])])])])]) ).
cnf(c_0_21,negated_conjecture,
( ~ r1(esk1_0,X1)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_8]) ).
cnf(c_0_22,negated_conjecture,
( ~ r1(X2,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_8]) ).
cnf(c_0_23,plain,
( ~ epred1_1(X1)
| ~ p100(X1)
| p101(X1)
| r1(X1,esk21_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_21,c_0_8]) ).
cnf(c_0_25,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,plain,
( ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk21_1(X1))
| p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( ~ r1(X2,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_8]) ).
cnf(c_0_29,plain,
r1(esk1_0,esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_30,plain,
( ~ epred1_1(X1)
| ~ p100(X1)
| p101(X1)
| p101(esk21_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
( ~ p102(esk21_1(esk1_0))
| ~ epred1_1(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ~ r1(X2,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_8]) ).
cnf(c_0_33,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| p102(X1)
| r1(X1,esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,negated_conjecture,
epred1_1(esk21_1(esk1_0)),
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_35,plain,
p101(esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_36,negated_conjecture,
~ p102(esk21_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_24])]) ).
cnf(c_0_37,negated_conjecture,
( ~ r1(X2,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_8]) ).
cnf(c_0_38,negated_conjecture,
( ~ r1(esk21_1(esk1_0),X1)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_29]) ).
cnf(c_0_39,plain,
r1(esk21_1(esk1_0),esk19_1(esk21_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_40,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| p102(X1)
| p102(esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_41,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk19_1(X1))
| p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_42,negated_conjecture,
( ~ r1(X2,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_8]) ).
cnf(c_0_43,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk21_1(esk1_0),X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_44,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| p103(X1)
| r1(X1,esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,negated_conjecture,
epred1_1(esk19_1(esk21_1(esk1_0))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,plain,
p102(esk19_1(esk21_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_47,plain,
~ p103(esk19_1(esk21_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_34])]),c_0_36]) ).
cnf(c_0_48,plain,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk21_1(esk1_0),X2)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_49,negated_conjecture,
( ~ r1(esk19_1(esk21_1(esk1_0)),X1)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_39]) ).
cnf(c_0_50,plain,
r1(esk19_1(esk21_1(esk1_0)),esk17_1(esk19_1(esk21_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_51,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| p103(X1)
| p103(esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_52,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk17_1(X1))
| p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_53,plain,
( ~ r1(X2,X1)
| ~ r1(esk19_1(esk21_1(esk1_0)),X2)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_39]) ).
cnf(c_0_54,plain,
( ~ epred1_1(X1)
| ~ p103(X1)
| p104(X1)
| r1(X1,esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_55,negated_conjecture,
epred1_1(esk17_1(esk19_1(esk21_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
p103(esk17_1(esk19_1(esk21_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_57,plain,
~ p104(esk17_1(esk19_1(esk21_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_58,plain,
( ~ r1(esk17_1(esk19_1(esk21_1(esk1_0))),X1)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_59,plain,
r1(esk17_1(esk19_1(esk21_1(esk1_0))),esk14_1(esk17_1(esk19_1(esk21_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]),c_0_57]) ).
cnf(c_0_60,plain,
( ~ epred1_1(X1)
| ~ p103(X1)
| ~ p5(esk14_1(X1))
| p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_61,plain,
p5(esk14_1(esk17_1(esk19_1(esk21_1(esk1_0))))),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_55]),c_0_56])]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 00:42:59 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.17/0.57 % Version: 3.5.1
% 0.17/0.57 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.57 % Starting sh5l with 300s (1) cores
% 0.17/0.57 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1052341 completed with status 0
% 0.17/0.57 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.57 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.57 % No SInE strategy applied
% 0.17/0.57 % Search class: FGUNF-FSMF11-SFFFFFNN
% 0.17/0.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.57 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.57 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.57 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.57 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.57 % G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1052347 completed with status 0
% 0.17/0.57 % Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.57 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.57 % No SInE strategy applied
% 0.17/0.57 % Search class: FGUNF-FSMF11-SFFFFFNN
% 0.17/0.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.57 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.57 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.57 % Preprocessing time : 0.003 s
% 0.17/0.57 % Presaturation interreduction done
% 0.17/0.57
% 0.17/0.57 % Proof found!
% 0.17/0.57 % SZS status Theorem
% 0.17/0.57 % SZS output start CNFRefutation
% See solution above
% 0.17/0.58 % Parsed axioms : 2
% 0.17/0.58 % Removed by relevancy pruning/SinE : 0
% 0.17/0.58 % Initial clauses : 118
% 0.17/0.58 % Removed in clause preprocessing : 0
% 0.17/0.58 % Initial clauses in saturation : 118
% 0.17/0.58 % Processed clauses : 1497
% 0.17/0.58 % ...of these trivial : 18
% 0.17/0.58 % ...subsumed : 495
% 0.17/0.58 % ...remaining for further processing : 984
% 0.17/0.58 % Other redundant clauses eliminated : 0
% 0.17/0.58 % Clauses deleted for lack of memory : 0
% 0.17/0.58 % Backward-subsumed : 102
% 0.17/0.58 % Backward-rewritten : 20
% 0.17/0.58 % Generated clauses : 3723
% 0.17/0.58 % ...of the previous two non-redundant : 3377
% 0.17/0.58 % ...aggressively subsumed : 0
% 0.17/0.58 % Contextual simplify-reflections : 0
% 0.17/0.58 % Paramodulations : 3723
% 0.17/0.58 % Factorizations : 0
% 0.17/0.58 % NegExts : 0
% 0.17/0.58 % Equation resolutions : 0
% 0.17/0.58 % Disequality decompositions : 0
% 0.17/0.58 % Total rewrite steps : 1577
% 0.17/0.58 % ...of those cached : 1466
% 0.17/0.58 % Propositional unsat checks : 0
% 0.17/0.58 % Propositional check models : 0
% 0.17/0.58 % Propositional check unsatisfiable : 0
% 0.17/0.58 % Propositional clauses : 0
% 0.17/0.58 % Propositional clauses after purity: 0
% 0.17/0.58 % Propositional unsat core size : 0
% 0.17/0.58 % Propositional preprocessing time : 0.000
% 0.17/0.58 % Propositional encoding time : 0.000
% 0.17/0.58 % Propositional solver time : 0.000
% 0.17/0.58 % Success case prop preproc time : 0.000
% 0.17/0.58 % Success case prop encoding time : 0.000
% 0.17/0.58 % Success case prop solver time : 0.000
% 0.17/0.58 % Current number of processed clauses : 744
% 0.17/0.58 % Positive orientable unit clauses : 206
% 0.17/0.58 % Positive unorientable unit clauses: 0
% 0.17/0.58 % Negative unit clauses : 206
% 0.17/0.58 % Non-unit-clauses : 332
% 0.17/0.58 % Current number of unprocessed clauses: 2116
% 0.17/0.58 % ...number of literals in the above : 6751
% 0.17/0.58 % Current number of archived formulas : 0
% 0.17/0.58 % Current number of archived clauses : 240
% 0.17/0.58 % Clause-clause subsumption calls (NU) : 27186
% 0.17/0.58 % Rec. Clause-clause subsumption calls : 12827
% 0.17/0.58 % Non-unit clause-clause subsumptions : 109
% 0.17/0.58 % Unit Clause-clause subsumption calls : 17381
% 0.17/0.58 % Rewrite failures with RHS unbound : 0
% 0.17/0.58 % BW rewrite match attempts : 301
% 0.17/0.58 % BW rewrite match successes : 17
% 0.17/0.58 % Condensation attempts : 0
% 0.17/0.58 % Condensation successes : 0
% 0.17/0.58 % Termbank termtop insertions : 95888
% 0.17/0.58 % Search garbage collected termcells : 1776
% 0.17/0.58
% 0.17/0.58 % -------------------------------------------------
% 0.17/0.58 % User time : 0.123 s
% 0.17/0.58 % System time : 0.007 s
% 0.17/0.58 % Total time : 0.130 s
% 0.17/0.58 % Maximum resident set size: 4204 pages
% 0.17/0.58
% 0.17/0.58 % -------------------------------------------------
% 0.17/0.58 % User time : 0.543 s
% 0.17/0.58 % System time : 0.039 s
% 0.17/0.58 % Total time : 0.582 s
% 0.17/0.58 % Maximum resident set size: 4608 pages
% 0.17/0.58 % E exiting
%------------------------------------------------------------------------------