%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL636+1.005 : 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 : n019.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 01:13:10 PM UTC 2026
% Result : Theorem 47.87s 6.51s
% Output : CNFRefutation 47.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 210 ( 11 unt; 0 def)
% Number of atoms : 3543 ( 0 equ)
% Maximal formula atoms : 719 ( 16 avg)
% Number of connectives : 5866 (2533 ~;2245 |;1084 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 99 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 11 con; 0-1 aty)
% Number of variables : 609 ( 0 sgn 496 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X2) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X2) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_2,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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1] :
( epred2_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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) )
& ! [X2] :
( epred1_1(X2)
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( epred2_1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ! [X2] :
( epred1_1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( epred2_1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( epred1_1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1]),c_0_2]),c_0_3]),c_0_2]),c_0_3]),c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45] :
( p100(esk1_0)
& ~ p101(esk1_0)
& ( ~ p101(esk1_0)
| p100(esk1_0) )
& ( ~ p102(esk1_0)
| p101(esk1_0) )
& ( ~ p103(esk1_0)
| p102(esk1_0) )
& ( ~ p104(esk1_0)
| p103(esk1_0) )
& ( ~ p105(esk1_0)
| p104(esk1_0) )
& ( ~ p106(esk1_0)
| p105(esk1_0) )
& ( ~ p100(esk1_0)
| ~ p1(esk1_0)
| ~ p100(X45)
| p1(X45)
| ~ r1(esk1_0,X45) )
& ( ~ p100(esk1_0)
| p1(esk1_0)
| ~ p100(X44)
| ~ p1(X44)
| ~ r1(esk1_0,X44) )
& ( ~ p101(esk1_0)
| ~ p2(esk1_0)
| ~ p101(X43)
| p2(X43)
| ~ r1(esk1_0,X43) )
& ( ~ p101(esk1_0)
| p2(esk1_0)
| ~ p101(X42)
| ~ p2(X42)
| ~ r1(esk1_0,X42) )
& ( ~ p102(esk1_0)
| ~ p3(esk1_0)
| ~ p102(X41)
| p3(X41)
| ~ r1(esk1_0,X41) )
& ( ~ p102(esk1_0)
| p3(esk1_0)
| ~ p102(X40)
| ~ p3(X40)
| ~ r1(esk1_0,X40) )
& ( ~ p103(esk1_0)
| ~ p4(esk1_0)
| ~ p103(X39)
| p4(X39)
| ~ r1(esk1_0,X39) )
& ( ~ p103(esk1_0)
| p4(esk1_0)
| ~ p103(X38)
| ~ p4(X38)
| ~ r1(esk1_0,X38) )
& ( ~ p104(esk1_0)
| ~ p5(esk1_0)
| ~ p104(X37)
| p5(X37)
| ~ r1(esk1_0,X37) )
& ( ~ p104(esk1_0)
| p5(esk1_0)
| ~ p104(X36)
| ~ p5(X36)
| ~ r1(esk1_0,X36) )
& ( ~ p105(esk1_0)
| ~ p6(esk1_0)
| ~ p105(X35)
| p6(X35)
| ~ r1(esk1_0,X35) )
& ( ~ p105(esk1_0)
| p6(esk1_0)
| ~ p105(X34)
| ~ p6(X34)
| ~ r1(esk1_0,X34) )
& ( ~ p100(esk1_0)
| p101(esk1_0)
| p101(esk11_0) )
& ( ~ p100(esk1_0)
| p101(esk1_0)
| ~ p102(esk11_0) )
& ( ~ p100(esk1_0)
| p101(esk1_0)
| p2(esk11_0) )
& ( ~ p100(esk1_0)
| p101(esk1_0)
| r1(esk1_0,esk11_0) )
& ( ~ p100(esk1_0)
| p101(esk1_0)
| p101(esk10_0) )
& ( ~ p100(esk1_0)
| p101(esk1_0)
| ~ p102(esk10_0) )
& ( ~ p100(esk1_0)
| p101(esk1_0)
| ~ p2(esk10_0) )
& ( ~ p100(esk1_0)
| p101(esk1_0)
| r1(esk1_0,esk10_0) )
& ( ~ p101(esk1_0)
| p102(esk1_0)
| p102(esk9_0) )
& ( ~ p101(esk1_0)
| p102(esk1_0)
| ~ p103(esk9_0) )
& ( ~ p101(esk1_0)
| p102(esk1_0)
| p3(esk9_0) )
& ( ~ p101(esk1_0)
| p102(esk1_0)
| r1(esk1_0,esk9_0) )
& ( ~ p101(esk1_0)
| p102(esk1_0)
| p102(esk8_0) )
& ( ~ p101(esk1_0)
| p102(esk1_0)
| ~ p103(esk8_0) )
& ( ~ p101(esk1_0)
| p102(esk1_0)
| ~ p3(esk8_0) )
& ( ~ p101(esk1_0)
| p102(esk1_0)
| r1(esk1_0,esk8_0) )
& ( ~ p102(esk1_0)
| p103(esk1_0)
| p103(esk7_0) )
& ( ~ p102(esk1_0)
| p103(esk1_0)
| ~ p104(esk7_0) )
& ( ~ p102(esk1_0)
| p103(esk1_0)
| p4(esk7_0) )
& ( ~ p102(esk1_0)
| p103(esk1_0)
| r1(esk1_0,esk7_0) )
& ( ~ p102(esk1_0)
| p103(esk1_0)
| p103(esk6_0) )
& ( ~ p102(esk1_0)
| p103(esk1_0)
| ~ p104(esk6_0) )
& ( ~ p102(esk1_0)
| p103(esk1_0)
| ~ p4(esk6_0) )
& ( ~ p102(esk1_0)
| p103(esk1_0)
| r1(esk1_0,esk6_0) )
& ( ~ p103(esk1_0)
| p104(esk1_0)
| p104(esk5_0) )
& ( ~ p103(esk1_0)
| p104(esk1_0)
| ~ p105(esk5_0) )
& ( ~ p103(esk1_0)
| p104(esk1_0)
| p5(esk5_0) )
& ( ~ p103(esk1_0)
| p104(esk1_0)
| r1(esk1_0,esk5_0) )
& ( ~ p103(esk1_0)
| p104(esk1_0)
| p104(esk4_0) )
& ( ~ p103(esk1_0)
| p104(esk1_0)
| ~ p105(esk4_0) )
& ( ~ p103(esk1_0)
| p104(esk1_0)
| ~ p5(esk4_0) )
& ( ~ p103(esk1_0)
| p104(esk1_0)
| r1(esk1_0,esk4_0) )
& ( ~ p104(esk1_0)
| p105(esk1_0)
| p105(esk3_0) )
& ( ~ p104(esk1_0)
| p105(esk1_0)
| ~ p106(esk3_0) )
& ( ~ p104(esk1_0)
| p105(esk1_0)
| p6(esk3_0) )
& ( ~ p104(esk1_0)
| p105(esk1_0)
| r1(esk1_0,esk3_0) )
& ( ~ p104(esk1_0)
| p105(esk1_0)
| p105(esk2_0) )
& ( ~ p104(esk1_0)
| p105(esk1_0)
| ~ p106(esk2_0) )
& ( ~ p104(esk1_0)
| p105(esk1_0)
| ~ p6(esk2_0) )
& ( ~ p104(esk1_0)
| p105(esk1_0)
| r1(esk1_0,esk2_0) )
& ( epred1_1(X23)
| ~ r1(esk1_0,X23) )
& ( epred2_1(X22)
| ~ r1(X21,X22)
| ~ r1(esk1_0,X21) )
& ( epred1_1(X20)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(esk1_0,X18) )
& ( epred2_1(X17)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(esk1_0,X14) )
& ( epred1_1(X13)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(esk1_0,X9) )
& ( p3(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(esk1_0,X4) ) ),
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_4])])])])])]) ).
cnf(c_0_6,negated_conjecture,
( ~ p100(esk1_0)
| p101(esk1_0)
| r1(esk1_0,esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_7,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| epred1_1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
r1(esk1_0,esk11_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),c_0_8]) ).
fof(c_0_12,plain,
! [X46,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68] :
( ( ~ epred1_1(X46)
| ~ p101(X46)
| p100(X46) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p101(X46) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p102(X46) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p103(X46) )
& ( ~ epred1_1(X46)
| ~ p105(X46)
| p104(X46) )
& ( ~ epred1_1(X46)
| ~ p106(X46)
| p105(X46) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| ~ p1(X46)
| ~ p100(X68)
| p1(X68)
| ~ r1(X46,X68) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| p1(X46)
| ~ p100(X67)
| ~ p1(X67)
| ~ r1(X46,X67) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| ~ p2(X46)
| ~ p101(X66)
| p2(X66)
| ~ r1(X46,X66) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| p2(X46)
| ~ p101(X65)
| ~ p2(X65)
| ~ r1(X46,X65) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| ~ p3(X46)
| ~ p102(X64)
| p3(X64)
| ~ r1(X46,X64) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p3(X46)
| ~ p102(X63)
| ~ p3(X63)
| ~ r1(X46,X63) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| ~ p4(X46)
| ~ p103(X62)
| p4(X62)
| ~ r1(X46,X62) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p4(X46)
| ~ p103(X61)
| ~ p4(X61)
| ~ r1(X46,X61) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| ~ p5(X46)
| ~ p104(X60)
| p5(X60)
| ~ r1(X46,X60) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p5(X46)
| ~ p104(X59)
| ~ p5(X59)
| ~ r1(X46,X59) )
& ( ~ epred1_1(X46)
| ~ p105(X46)
| ~ p6(X46)
| ~ p105(X58)
| p6(X58)
| ~ r1(X46,X58) )
& ( ~ epred1_1(X46)
| ~ p105(X46)
| p6(X46)
| ~ p105(X57)
| ~ p6(X57)
| ~ r1(X46,X57) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| p101(X46)
| p101(esk21_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| p101(X46)
| ~ p102(esk21_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| p101(X46)
| p2(esk21_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| p101(X46)
| r1(X46,esk21_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| p101(X46)
| p101(esk20_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| p101(X46)
| ~ p102(esk20_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| p101(X46)
| ~ p2(esk20_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p100(X46)
| p101(X46)
| r1(X46,esk20_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| p102(X46)
| p102(esk19_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| p102(X46)
| ~ p103(esk19_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| p102(X46)
| p3(esk19_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| p102(X46)
| r1(X46,esk19_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| p102(X46)
| p102(esk18_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| p102(X46)
| ~ p103(esk18_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| p102(X46)
| ~ p3(esk18_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p101(X46)
| p102(X46)
| r1(X46,esk18_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p103(X46)
| p103(esk17_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p103(X46)
| ~ p104(esk17_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p103(X46)
| p4(esk17_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p103(X46)
| r1(X46,esk17_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p103(X46)
| p103(esk16_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p103(X46)
| ~ p104(esk16_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p103(X46)
| ~ p4(esk16_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p102(X46)
| p103(X46)
| r1(X46,esk16_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p104(X46)
| p104(esk15_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p104(X46)
| ~ p105(esk15_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p104(X46)
| p5(esk15_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p104(X46)
| r1(X46,esk15_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p104(X46)
| p104(esk14_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p104(X46)
| ~ p105(esk14_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p104(X46)
| ~ p5(esk14_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p103(X46)
| p104(X46)
| r1(X46,esk14_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p105(X46)
| p105(esk13_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p105(X46)
| ~ p106(esk13_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p105(X46)
| p6(esk13_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p105(X46)
| r1(X46,esk13_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p105(X46)
| p105(esk12_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p105(X46)
| ~ p106(esk12_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p105(X46)
| ~ p6(esk12_1(X46)) )
& ( ~ epred1_1(X46)
| ~ p104(X46)
| p105(X46)
| r1(X46,esk12_1(X46)) ) ),
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_9])])])])])]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(esk1_0,X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( ~ p100(esk1_0)
| p101(esk1_0)
| p101(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( ~ p100(esk1_0)
| ~ p102(esk11_0)
| p101(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_16,plain,
! [X1] :
( epred2_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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| epred2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| epred1_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| epred2_1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( ~ r1(X2,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk11_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_21,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| p102(X1)
| r1(X1,esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
epred1_1(esk11_0),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_23,negated_conjecture,
p101(esk11_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_7])]),c_0_8]) ).
cnf(c_0_24,negated_conjecture,
~ p102(esk11_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_7])]),c_0_8]) ).
fof(c_0_25,plain,
! [X69,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91] :
( ( ~ epred2_1(X69)
| ~ p101(X69)
| p100(X69) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p101(X69) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p102(X69) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p103(X69) )
& ( ~ epred2_1(X69)
| ~ p105(X69)
| p104(X69) )
& ( ~ epred2_1(X69)
| ~ p106(X69)
| p105(X69) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| ~ p1(X69)
| ~ p100(X91)
| p1(X91)
| ~ r1(X69,X91) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| p1(X69)
| ~ p100(X90)
| ~ p1(X90)
| ~ r1(X69,X90) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| ~ p2(X69)
| ~ p101(X89)
| p2(X89)
| ~ r1(X69,X89) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| p2(X69)
| ~ p101(X88)
| ~ p2(X88)
| ~ r1(X69,X88) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| ~ p3(X69)
| ~ p102(X87)
| p3(X87)
| ~ r1(X69,X87) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p3(X69)
| ~ p102(X86)
| ~ p3(X86)
| ~ r1(X69,X86) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| ~ p4(X69)
| ~ p103(X85)
| p4(X85)
| ~ r1(X69,X85) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p4(X69)
| ~ p103(X84)
| ~ p4(X84)
| ~ r1(X69,X84) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| ~ p5(X69)
| ~ p104(X83)
| p5(X83)
| ~ r1(X69,X83) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p5(X69)
| ~ p104(X82)
| ~ p5(X82)
| ~ r1(X69,X82) )
& ( ~ epred2_1(X69)
| ~ p105(X69)
| ~ p6(X69)
| ~ p105(X81)
| p6(X81)
| ~ r1(X69,X81) )
& ( ~ epred2_1(X69)
| ~ p105(X69)
| p6(X69)
| ~ p105(X80)
| ~ p6(X80)
| ~ r1(X69,X80) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| p101(X69)
| p101(esk31_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| p101(X69)
| ~ p102(esk31_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| p101(X69)
| p2(esk31_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| p101(X69)
| r1(X69,esk31_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| p101(X69)
| p101(esk30_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| p101(X69)
| ~ p102(esk30_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| p101(X69)
| ~ p2(esk30_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p100(X69)
| p101(X69)
| r1(X69,esk30_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| p102(X69)
| p102(esk29_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| p102(X69)
| ~ p103(esk29_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| p102(X69)
| p3(esk29_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| p102(X69)
| r1(X69,esk29_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| p102(X69)
| p102(esk28_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| p102(X69)
| ~ p103(esk28_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| p102(X69)
| ~ p3(esk28_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p101(X69)
| p102(X69)
| r1(X69,esk28_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p103(X69)
| p103(esk27_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p103(X69)
| ~ p104(esk27_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p103(X69)
| p4(esk27_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p103(X69)
| r1(X69,esk27_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p103(X69)
| p103(esk26_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p103(X69)
| ~ p104(esk26_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p103(X69)
| ~ p4(esk26_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p102(X69)
| p103(X69)
| r1(X69,esk26_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p104(X69)
| p104(esk25_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p104(X69)
| ~ p105(esk25_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p104(X69)
| p5(esk25_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p104(X69)
| r1(X69,esk25_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p104(X69)
| p104(esk24_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p104(X69)
| ~ p105(esk24_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p104(X69)
| ~ p5(esk24_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p103(X69)
| p104(X69)
| r1(X69,esk24_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p105(X69)
| p105(esk23_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p105(X69)
| ~ p106(esk23_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p105(X69)
| p6(esk23_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p105(X69)
| r1(X69,esk23_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p105(X69)
| p105(esk22_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p105(X69)
| ~ p106(esk22_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p105(X69)
| ~ p6(esk22_1(X69)) )
& ( ~ epred2_1(X69)
| ~ p104(X69)
| p105(X69)
| r1(X69,esk22_1(X69)) ) ),
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_16])])])])])]) ).
cnf(c_0_26,negated_conjecture,
( ~ r1(esk11_0,X1)
| epred2_1(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_27,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk11_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_28,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk11_0,X2)
| epred2_1(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_29,plain,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk18_1(esk11_0),X2)
| epred1_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_30,plain,
( ~ epred2_1(X1)
| ~ p102(X1)
| p103(X1)
| r1(X1,esk27_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
epred2_1(esk18_1(esk11_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_32,plain,
( ~ r1(esk18_1(esk11_0),X1)
| epred1_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_33,plain,
( ~ r1(X2,X1)
| ~ r1(esk18_1(esk11_0),X2)
| epred2_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_34,plain,
( ~ epred2_1(X1)
| ~ p102(X1)
| p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( ~ r1(X2,X1)
| ~ r1(esk27_1(esk18_1(esk11_0)),X2)
| ~ p102(esk18_1(esk11_0))
| p103(esk18_1(esk11_0))
| epred1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_36,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| p102(X1)
| p102(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,plain,
( ~ p102(esk18_1(esk11_0))
| p103(esk18_1(esk11_0))
| epred1_1(esk27_1(esk18_1(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_30]),c_0_31])]) ).
cnf(c_0_38,plain,
( ~ r1(esk27_1(esk18_1(esk11_0)),X1)
| ~ p102(esk18_1(esk11_0))
| p103(esk18_1(esk11_0))
| epred2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_31])]) ).
cnf(c_0_39,plain,
( ~ p102(esk18_1(esk11_0))
| p101(esk18_1(esk11_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_40,plain,
( ~ r1(X2,X1)
| ~ r1(esk27_1(esk18_1(esk11_0)),X2)
| p103(esk18_1(esk11_0))
| epred1_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_41,plain,
( ~ epred1_1(X1)
| ~ p103(X1)
| p104(X1)
| r1(X1,esk15_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_42,plain,
( p103(esk18_1(esk11_0))
| epred1_1(esk27_1(esk18_1(esk11_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_43,plain,
( ~ r1(esk27_1(esk18_1(esk11_0)),X1)
| p103(esk18_1(esk11_0))
| epred2_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_44,plain,
( ~ epred2_1(X1)
| ~ p101(X1)
| p102(X1)
| r1(X1,esk28_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_45,plain,
p101(esk18_1(esk11_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_46,plain,
( ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1)
| ~ p103(esk27_1(esk18_1(esk11_0)))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_47,plain,
( ~ epred2_1(X1)
| ~ p102(X1)
| p103(X1)
| p103(esk27_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_48,plain,
( ~ p103(esk27_1(esk18_1(esk11_0)))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred2_1(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_42]) ).
cnf(c_0_49,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_50,plain,
( p102(esk18_1(esk11_0))
| epred1_1(esk28_1(esk18_1(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_31]),c_0_45])]) ).
cnf(c_0_51,plain,
( ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1)
| ~ p102(esk18_1(esk11_0))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_31])]) ).
cnf(c_0_52,plain,
( ~ p102(esk18_1(esk11_0))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred2_1(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_31])]) ).
cnf(c_0_53,negated_conjecture,
( ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| p3(X5) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_54,plain,
( ~ epred1_1(X1)
| ~ p103(X1)
| p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_55,plain,
( ~ r1(X2,X1)
| ~ r1(esk28_1(esk18_1(esk11_0)),X2)
| p102(esk18_1(esk11_0))
| epred1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_44]),c_0_31]),c_0_45])]) ).
cnf(c_0_56,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| p103(X1)
| r1(X1,esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_57,plain,
( ~ r1(esk28_1(esk18_1(esk11_0)),X1)
| p102(esk18_1(esk11_0))
| epred2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_44]),c_0_31]),c_0_45])]) ).
cnf(c_0_58,plain,
( ~ p102(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| p101(esk28_1(esk18_1(esk11_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,plain,
( ~ epred2_1(X1)
| ~ p101(X1)
| p102(X1)
| p102(esk28_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_60,plain,
( ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1)
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred1_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_61,plain,
( ~ epred2_1(X1)
| ~ p104(X1)
| p105(X1)
| r1(X1,esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_62,plain,
( p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred2_1(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_63,negated_conjecture,
( ~ r1(X2,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk11_0,X2)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_11]) ).
cnf(c_0_64,plain,
( ~ p103(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p102(esk27_1(esk18_1(esk11_0))) ),
inference(spm,[status(thm)],[c_0_54,c_0_42]) ).
cnf(c_0_65,plain,
( ~ r1(esk17_1(esk28_1(esk18_1(esk11_0))),X1)
| ~ p102(esk28_1(esk18_1(esk11_0)))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| epred1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_50]) ).
cnf(c_0_66,plain,
( ~ p102(esk28_1(esk18_1(esk11_0)))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| epred2_1(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_56]),c_0_50]) ).
cnf(c_0_67,plain,
( p102(esk18_1(esk11_0))
| p101(esk28_1(esk18_1(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_31]),c_0_45])]) ).
cnf(c_0_68,plain,
( ~ p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred1_1(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_69,plain,
( ~ epred1_1(X1)
| ~ p103(X1)
| p104(X1)
| p104(esk15_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_70,plain,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk18_1(esk11_0),X2)
| p3(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_71,plain,
( ~ epred2_1(X1)
| ~ p104(X1)
| p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_72,plain,
( ~ p102(esk18_1(esk11_0))
| p103(esk18_1(esk11_0))
| p102(esk27_1(esk18_1(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_47]),c_0_31])]) ).
cnf(c_0_73,plain,
( ~ r1(esk17_1(esk28_1(esk18_1(esk11_0))),X1)
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| epred1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_31]),c_0_45])]) ).
cnf(c_0_74,plain,
( ~ epred2_1(X1)
| ~ p103(X1)
| p104(X1)
| r1(X1,esk25_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_75,plain,
( p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| epred2_1(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_59]),c_0_31]),c_0_45])]) ).
cnf(c_0_76,plain,
( p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0)))
| epred2_1(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_21]),c_0_67]),c_0_50]) ).
cnf(c_0_77,plain,
( ~ p103(esk27_1(esk18_1(esk11_0)))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred1_1(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_42]) ).
cnf(c_0_78,plain,
( ~ r1(X2,X1)
| ~ r1(esk27_1(esk18_1(esk11_0)),X2)
| ~ p102(esk18_1(esk11_0))
| p3(X1)
| p103(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_30]),c_0_31])]) ).
cnf(c_0_79,plain,
( ~ p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p103(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
inference(spm,[status(thm)],[c_0_71,c_0_62]) ).
cnf(c_0_80,plain,
( p103(esk18_1(esk11_0))
| p102(esk27_1(esk18_1(esk11_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_81,plain,
( ~ p103(esk17_1(esk28_1(esk18_1(esk11_0))))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| epred1_1(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_82,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| p103(X1)
| p103(esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_83,plain,
( ~ epred2_1(X1)
| ~ p103(X1)
| p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_84,plain,
( ~ r1(X2,X1)
| ~ r1(esk28_1(esk18_1(esk11_0)),X2)
| p3(X1)
| p102(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_44]),c_0_31]),c_0_45])]) ).
cnf(c_0_85,plain,
( ~ p102(esk18_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0)))
| p101(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
inference(spm,[status(thm)],[c_0_34,c_0_76]) ).
cnf(c_0_86,plain,
( ~ epred1_1(X1)
| ~ p105(X1)
| p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_87,plain,
( ~ epred2_1(X1)
| ~ p104(X1)
| p105(X1)
| p105(esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_88,plain,
( ~ p102(esk18_1(esk11_0))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred1_1(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_47]),c_0_31])]) ).
cnf(c_0_89,plain,
( ~ r1(X2,X1)
| ~ r1(esk27_1(esk18_1(esk11_0)),X2)
| p3(X1)
| p103(esk18_1(esk11_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_90,plain,
( ~ p103(esk27_1(esk18_1(esk11_0)))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p103(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_69]),c_0_42]) ).
cnf(c_0_91,plain,
( ~ r1(esk17_1(esk27_1(esk18_1(esk11_0))),X1)
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| epred1_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_56]),c_0_80]),c_0_42]) ).
cnf(c_0_92,plain,
( p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| epred2_1(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_56]),c_0_80]),c_0_42]) ).
cnf(c_0_93,plain,
( ~ p102(esk28_1(esk18_1(esk11_0)))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| epred1_1(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_50]) ).
cnf(c_0_94,plain,
( ~ p103(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| p102(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
inference(spm,[status(thm)],[c_0_83,c_0_75]) ).
cnf(c_0_95,plain,
( ~ r1(esk18_1(esk28_1(esk18_1(esk11_0))),X1)
| p3(X1)
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_21]),c_0_67]),c_0_50]) ).
cnf(c_0_96,plain,
( p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0)))
| p101(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_36]),c_0_67]),c_0_50]) ).
cnf(c_0_97,plain,
( ~ p104(X1)
| ~ epred1_1(esk23_1(X1))
| ~ epred2_1(X1)
| p105(X1)
| p104(esk23_1(X1)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_98,plain,
( p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| epred1_1(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_99,plain,
( ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1)
| ~ p103(esk27_1(esk18_1(esk11_0)))
| p3(X1)
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_41]),c_0_42]) ).
cnf(c_0_100,plain,
( ~ p102(esk18_1(esk11_0))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p103(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_47]),c_0_31])]) ).
cnf(c_0_101,plain,
( ~ p103(esk17_1(esk27_1(esk18_1(esk11_0))))
| p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| epred1_1(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_74]),c_0_92]) ).
cnf(c_0_102,plain,
( ~ p103(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p102(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
inference(spm,[status(thm)],[c_0_83,c_0_92]) ).
cnf(c_0_103,plain,
( ~ epred1_1(X1)
| ~ p104(X1)
| p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_104,plain,
( p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| epred1_1(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_59]),c_0_31]),c_0_45])]) ).
cnf(c_0_105,plain,
( ~ p102(esk28_1(esk18_1(esk11_0)))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| p102(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_82]),c_0_50]) ).
cnf(c_0_106,plain,
( ~ epred2_1(X1)
| ~ p101(X1)
| ~ p3(esk28_1(X1))
| p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_107,plain,
( p3(esk28_1(esk18_1(esk28_1(esk18_1(esk11_0)))))
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_44]),c_0_96]),c_0_76]) ).
cnf(c_0_108,plain,
( ~ p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_62]) ).
cnf(c_0_109,plain,
( ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1)
| ~ p102(esk18_1(esk11_0))
| p3(X1)
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_47]),c_0_31])]) ).
cnf(c_0_110,plain,
( p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p103(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_111,plain,
( p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| epred1_1(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_82]),c_0_80]),c_0_42]) ).
cnf(c_0_112,plain,
( p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p102(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_82]),c_0_80]),c_0_42]) ).
cnf(c_0_113,plain,
( ~ p104(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p102(esk18_1(esk11_0)) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_114,plain,
( ~ epred2_1(X1)
| ~ p103(X1)
| p104(X1)
| p104(esk25_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_115,plain,
( ~ r1(esk17_1(esk28_1(esk18_1(esk11_0))),X1)
| ~ p102(esk28_1(esk18_1(esk11_0)))
| p3(X1)
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_56]),c_0_50]) ).
cnf(c_0_116,plain,
( p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| p102(esk17_1(esk28_1(esk18_1(esk11_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_59]),c_0_31]),c_0_45])]) ).
cnf(c_0_117,plain,
( ~ r1(esk18_1(esk28_1(esk18_1(esk11_0))),X1)
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0)))
| epred1_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_21]),c_0_67]),c_0_50]) ).
cnf(c_0_118,plain,
( p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk28_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_96]),c_0_76]) ).
cnf(c_0_119,plain,
( ~ p103(esk27_1(esk18_1(esk11_0)))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_69]),c_0_42]) ).
cnf(c_0_120,plain,
( ~ r1(esk15_1(esk27_1(esk18_1(esk11_0))),X1)
| p3(X1)
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_121,plain,
( p104(esk27_1(esk18_1(esk11_0)))
| p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| epred1_1(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_74]),c_0_110]),c_0_62]) ).
cnf(c_0_122,plain,
( ~ p104(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
| p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p103(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_103,c_0_111]) ).
cnf(c_0_123,plain,
( p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p103(esk17_1(esk27_1(esk18_1(esk11_0))))
| epred1_1(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_30]),c_0_112]),c_0_92]) ).
cnf(c_0_124,plain,
( ~ p103(esk17_1(esk28_1(esk18_1(esk11_0))))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_75]) ).
cnf(c_0_125,plain,
( ~ r1(esk17_1(esk28_1(esk18_1(esk11_0))),X1)
| p3(X1)
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_59]),c_0_31]),c_0_45])]) ).
cnf(c_0_126,plain,
( p103(esk28_1(esk18_1(esk11_0)))
| p103(esk17_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| epred1_1(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_30]),c_0_116]),c_0_75]) ).
cnf(c_0_127,plain,
( p103(esk18_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0)))
| epred1_1(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_30]),c_0_118]),c_0_76]) ).
cnf(c_0_128,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2)
| p3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_129,plain,
( ~ p103(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p102(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
inference(spm,[status(thm)],[c_0_83,c_0_62]) ).
cnf(c_0_130,plain,
( ~ p102(esk18_1(esk11_0))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_47]),c_0_31])]) ).
cnf(c_0_131,plain,
( ~ p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p3(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_61]),c_0_62]) ).
cnf(c_0_132,plain,
( ~ p104(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p104(esk27_1(esk18_1(esk11_0)))
| p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_103,c_0_121]) ).
cnf(c_0_133,plain,
( ~ p103(esk17_1(esk27_1(esk18_1(esk11_0))))
| p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p103(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_114]),c_0_92]) ).
cnf(c_0_134,plain,
( ~ r1(esk17_1(esk27_1(esk18_1(esk11_0))),X1)
| p3(X1)
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_56]),c_0_80]),c_0_42]) ).
cnf(c_0_135,plain,
( ~ epred2_1(X1)
| ~ p102(X1)
| ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2)
| p3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_136,plain,
( ~ p103(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p103(esk17_1(esk27_1(esk18_1(esk11_0))))
| p102(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_54,c_0_123]) ).
cnf(c_0_137,plain,
( ~ p102(esk28_1(esk18_1(esk11_0)))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_82]),c_0_50]) ).
cnf(c_0_138,plain,
( ~ p103(esk17_1(esk28_1(esk18_1(esk11_0))))
| p3(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_74]),c_0_75]) ).
cnf(c_0_139,plain,
( ~ p103(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p103(esk28_1(esk18_1(esk11_0)))
| p103(esk17_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| p102(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_54,c_0_126]) ).
cnf(c_0_140,plain,
( ~ p103(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0)))
| p102(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_54,c_0_127]) ).
cnf(c_0_141,plain,
( ~ p3(esk15_1(X1))
| ~ p103(X1)
| ~ p102(esk15_1(X1))
| ~ epred1_1(X1)
| p3(X1)
| p104(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_41]),c_0_54]) ).
cnf(c_0_142,plain,
( p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p102(esk15_1(esk27_1(esk18_1(esk11_0)))) ),
inference(spm,[status(thm)],[c_0_129,c_0_110]) ).
cnf(c_0_143,plain,
( ~ p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p103(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_103,c_0_98]) ).
cnf(c_0_144,plain,
( p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p104(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk11_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_145,plain,
( ~ p103(esk27_1(esk18_1(esk11_0)))
| p3(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_69]),c_0_42]) ).
cnf(c_0_146,plain,
( ~ p103(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p104(esk27_1(esk18_1(esk11_0)))
| p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p102(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_54,c_0_121]) ).
cnf(c_0_147,plain,
( p104(esk27_1(esk18_1(esk11_0)))
| p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_114]),c_0_110]),c_0_62]) ).
cnf(c_0_148,plain,
( ~ p103(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
| p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p102(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_54,c_0_111]) ).
cnf(c_0_149,plain,
( p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p103(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_82]),c_0_80]),c_0_42]) ).
cnf(c_0_150,plain,
( ~ p103(esk17_1(esk27_1(esk18_1(esk11_0))))
| p3(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
| p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_74]),c_0_92]) ).
cnf(c_0_151,plain,
( ~ p3(esk27_1(X1))
| ~ p102(X1)
| ~ p102(esk27_1(X1))
| ~ epred2_1(X1)
| p3(X1)
| p103(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_30]) ).
cnf(c_0_152,plain,
( p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p103(esk17_1(esk27_1(esk18_1(esk11_0))))
| p102(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_47]),c_0_112]),c_0_92]) ).
cnf(c_0_153,plain,
( p3(esk27_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p103(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_30]),c_0_112]),c_0_92]) ).
cnf(c_0_154,plain,
( ~ p3(esk17_1(X1))
| ~ p102(X1)
| ~ p102(esk17_1(X1))
| ~ epred1_1(X1)
| p3(X1)
| p103(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_56]) ).
cnf(c_0_155,plain,
( ~ p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| p102(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_54,c_0_104]) ).
cnf(c_0_156,plain,
( p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p103(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p102(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_59]),c_0_31]),c_0_45])]) ).
cnf(c_0_157,plain,
( ~ p102(esk28_1(esk18_1(esk11_0)))
| p3(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_82]),c_0_50]) ).
cnf(c_0_158,plain,
( p103(esk28_1(esk18_1(esk11_0)))
| p103(esk17_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| p102(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_47]),c_0_116]),c_0_75]) ).
cnf(c_0_159,plain,
( p3(esk27_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p103(esk28_1(esk18_1(esk11_0)))
| p103(esk17_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_30]),c_0_116]),c_0_75]) ).
cnf(c_0_160,plain,
( p103(esk18_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0)))
| p102(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_47]),c_0_118]),c_0_76]) ).
cnf(c_0_161,plain,
( p3(esk27_1(esk18_1(esk28_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_30]),c_0_118]),c_0_76]) ).
cnf(c_0_162,plain,
( ~ p3(esk15_1(esk27_1(esk18_1(esk11_0))))
| ~ p103(esk27_1(esk18_1(esk11_0)))
| p3(esk27_1(esk18_1(esk11_0)))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_42]) ).
cnf(c_0_163,plain,
( ~ p103(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p102(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_54,c_0_98]) ).
cnf(c_0_164,plain,
( p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p103(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_165,plain,
( ~ p102(esk18_1(esk11_0))
| p3(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_47]),c_0_31])]) ).
cnf(c_0_166,plain,
( ~ p3(esk25_1(X1))
| ~ p103(X1)
| ~ p102(esk25_1(X1))
| ~ epred2_1(X1)
| p3(X1)
| p104(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_74]),c_0_83]) ).
cnf(c_0_167,plain,
( p104(esk27_1(esk18_1(esk11_0)))
| p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p102(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_168,plain,
( p3(esk25_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p104(esk27_1(esk18_1(esk11_0)))
| p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_74]),c_0_110]),c_0_62]) ).
cnf(c_0_169,plain,
( p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p102(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_170,plain,
( p3(esk25_1(esk17_1(esk27_1(esk18_1(esk11_0)))))
| p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_82]),c_0_80]),c_0_42]) ).
cnf(c_0_171,plain,
( p3(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0)))
| p103(esk17_1(esk27_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]),c_0_112]),c_0_92]) ).
cnf(c_0_172,plain,
( ~ p3(esk17_1(esk28_1(esk18_1(esk11_0))))
| ~ p102(esk28_1(esk18_1(esk11_0)))
| p3(esk28_1(esk18_1(esk11_0)))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_116]),c_0_50]) ).
cnf(c_0_173,plain,
( p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0))
| p102(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_174,plain,
( p3(esk25_1(esk17_1(esk28_1(esk18_1(esk11_0)))))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_59]),c_0_31]),c_0_45])]) ).
cnf(c_0_175,plain,
( p3(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p103(esk17_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_158]),c_0_159]),c_0_116]),c_0_75]) ).
cnf(c_0_176,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| ~ p3(esk18_1(X1))
| p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_177,plain,
( p3(esk18_1(esk28_1(esk18_1(esk11_0))))
| p103(esk18_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_160]),c_0_161]),c_0_118]),c_0_76]) ).
cnf(c_0_178,plain,
( ~ p3(esk15_1(esk27_1(esk18_1(esk11_0))))
| ~ p102(esk18_1(esk11_0))
| p3(esk27_1(esk18_1(esk11_0)))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_47]),c_0_31])]) ).
cnf(c_0_179,plain,
( ~ p3(esk23_1(X1))
| ~ p104(X1)
| ~ p102(X1)
| ~ p102(esk23_1(X1))
| ~ epred2_1(X1)
| p3(X1)
| p105(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_61]) ).
cnf(c_0_180,plain,
( p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p102(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_181,plain,
( p3(esk23_1(esk15_1(esk27_1(esk18_1(esk11_0)))))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_182,plain,
( p3(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p104(esk15_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]),c_0_110]),c_0_62]) ).
cnf(c_0_183,plain,
( ~ p3(esk17_1(esk27_1(esk18_1(esk11_0))))
| p3(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_112]),c_0_80]),c_0_42]) ).
cnf(c_0_184,plain,
( p3(esk17_1(esk27_1(esk18_1(esk11_0))))
| p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_169]),c_0_170]),c_0_171]),c_0_92]) ).
cnf(c_0_185,plain,
( ~ p3(esk17_1(esk28_1(esk18_1(esk11_0))))
| p3(esk28_1(esk18_1(esk11_0)))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_59]),c_0_31]),c_0_45])]) ).
cnf(c_0_186,plain,
( p3(esk17_1(esk28_1(esk18_1(esk11_0))))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_173]),c_0_174]),c_0_175]),c_0_75]) ).
cnf(c_0_187,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk18_1(X1))
| p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_188,plain,
( p103(esk18_1(esk28_1(esk18_1(esk11_0))))
| p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_67]),c_0_50]) ).
cnf(c_0_189,plain,
( ~ p3(esk15_1(esk27_1(esk18_1(esk11_0))))
| p3(esk27_1(esk18_1(esk11_0)))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_190,plain,
( p3(esk15_1(esk27_1(esk18_1(esk11_0))))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_182]),c_0_142]),c_0_62]) ).
cnf(c_0_191,plain,
( ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk17_1(X1))
| p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_192,plain,
( p3(esk27_1(esk18_1(esk11_0)))
| p104(esk17_1(esk27_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0))) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_193,plain,
( p3(esk28_1(esk18_1(esk11_0)))
| p104(esk17_1(esk28_1(esk18_1(esk11_0))))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_194,plain,
( p102(esk18_1(esk11_0))
| p102(esk28_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_67]),c_0_50]) ).
cnf(c_0_195,plain,
( ~ p3(esk27_1(esk18_1(esk11_0)))
| ~ p102(esk18_1(esk11_0))
| p3(esk18_1(esk11_0))
| p103(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_80]),c_0_31])]) ).
cnf(c_0_196,plain,
( ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk15_1(X1))
| p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_197,plain,
( p3(esk27_1(esk18_1(esk11_0)))
| p105(esk15_1(esk27_1(esk18_1(esk11_0))))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_198,plain,
( p3(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0))
| p103(esk27_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_80]),c_0_42]) ).
cnf(c_0_199,plain,
( p3(esk28_1(esk18_1(esk11_0)))
| p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_193]),c_0_194]),c_0_50]) ).
cnf(c_0_200,plain,
( ~ p3(esk27_1(esk18_1(esk11_0)))
| p3(esk18_1(esk11_0))
| p103(esk18_1(esk11_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_201,plain,
( p3(esk27_1(esk18_1(esk11_0)))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_42]) ).
cnf(c_0_202,plain,
( ~ epred2_1(X1)
| ~ p101(X1)
| ~ p103(esk28_1(X1))
| p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_203,plain,
( p103(esk28_1(esk18_1(esk11_0)))
| p102(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_199]),c_0_31]),c_0_45])]) ).
cnf(c_0_204,plain,
( ~ epred2_1(X1)
| ~ p102(X1)
| ~ p104(esk27_1(X1))
| p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_205,plain,
( p3(esk18_1(esk11_0))
| p104(esk27_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_206,plain,
p102(esk18_1(esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_31]),c_0_45])]) ).
cnf(c_0_207,plain,
( p3(esk18_1(esk11_0))
| p103(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_31]),c_0_206])]) ).
cnf(c_0_208,plain,
p103(esk18_1(esk11_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_207]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_209,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_208]),c_0_22]),c_0_23])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL636+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:41:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 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
% 47.87/6.51 % Version: 3.5.1
% 47.87/6.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 47.87/6.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.87/6.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.87/6.51 % Starting new_bool_3 with 300s (1) cores
% 47.87/6.51 % Starting new_bool_1 with 300s (1) cores
% 47.87/6.51 % Starting sh5l with 300s (1) cores
% 47.87/6.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1327913 completed with status 0
% 47.87/6.51 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 47.87/6.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 47.87/6.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.87/6.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.87/6.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 47.87/6.51 % No SInE strategy applied
% 47.87/6.51 % Search class: FGUNF-FSLF11-SFFFFFNN
% 47.87/6.51 % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 47.87/6.51 % Starting SubtermCWHack with 151s (1) cores
% 47.87/6.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 563s (1) cores
% 47.87/6.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2S with 235s (1) cores
% 47.87/6.51 % Starting new_bool_3 with 235s (1) cores
% 47.87/6.51 % Starting new_bool_1 with 235s (1) cores
% 47.87/6.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2S with pid 1327919 completed with status 0
% 47.87/6.51 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2S
% 47.87/6.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 47.87/6.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 47.87/6.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 47.87/6.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 47.87/6.51 % No SInE strategy applied
% 47.87/6.51 % Search class: FGUNF-FSLF11-SFFFFFNN
% 47.87/6.51 % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 47.87/6.51 % Starting SubtermCWHack with 151s (1) cores
% 47.87/6.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 563s (1) cores
% 47.87/6.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2S with 235s (1) cores
% 47.87/6.51 % Preprocessing time : 0.003 s
% 47.87/6.51 % Presaturation interreduction done
% 47.87/6.51
% 47.87/6.51 % Proof found!
% 47.87/6.51 % SZS status Theorem
% 47.87/6.51 % SZS output start CNFRefutation
% See solution above
% 47.87/6.51 % Parsed axioms : 1
% 47.87/6.51 % Removed by relevancy pruning/SinE : 0
% 47.87/6.51 % Initial clauses : 182
% 47.87/6.51 % Removed in clause preprocessing : 0
% 47.87/6.51 % Initial clauses in saturation : 182
% 47.87/6.51 % Processed clauses : 9744
% 47.87/6.51 % ...of these trivial : 1
% 47.87/6.51 % ...subsumed : 2409
% 47.87/6.51 % ...remaining for further processing : 7334
% 47.87/6.51 % Other redundant clauses eliminated : 0
% 47.87/6.51 % Clauses deleted for lack of memory : 0
% 47.87/6.51 % Backward-subsumed : 3565
% 47.87/6.51 % Backward-rewritten : 1364
% 47.87/6.51 % Generated clauses : 10957
% 47.87/6.51 % ...of the previous two non-redundant : 10794
% 47.87/6.51 % ...aggressively subsumed : 0
% 47.87/6.51 % Contextual simplify-reflections : 5154
% 47.87/6.51 % Paramodulations : 10957
% 47.87/6.51 % Factorizations : 0
% 47.87/6.51 % NegExts : 0
% 47.87/6.51 % Equation resolutions : 0
% 47.87/6.51 % Disequality decompositions : 0
% 47.87/6.51 % Total rewrite steps : 3681
% 47.87/6.51 % ...of those cached : 3660
% 47.87/6.51 % Propositional unsat checks : 0
% 47.87/6.51 % Propositional check models : 0
% 47.87/6.51 % Propositional check unsatisfiable : 0
% 47.87/6.51 % Propositional clauses : 0
% 47.87/6.51 % Propositional clauses after purity: 0
% 47.87/6.51 % Propositional unsat core size : 0
% 47.87/6.51 % Propositional preprocessing time : 0.000
% 47.87/6.51 % Propositional encoding time : 0.000
% 47.87/6.51 % Propositional solver time : 0.000
% 47.87/6.51 % Success case prop preproc time : 0.000
% 47.87/6.51 % Success case prop encoding time : 0.000
% 47.87/6.51 % Success case prop solver time : 0.000
% 47.87/6.51 % Current number of processed clauses : 2244
% 47.87/6.51 % Positive orientable unit clauses : 23
% 47.87/6.51 % Positive unorientable unit clauses: 0
% 47.87/6.51 % Negative unit clauses : 12
% 47.87/6.51 % Non-unit-clauses : 2209
% 47.87/6.51 % Current number of unprocessed clauses: 519
% 47.87/6.51 % ...number of literals in the above : 4255
% 47.87/6.51 % Current number of archived formulas : 0
% 47.87/6.51 % Current number of archived clauses : 5090
% 47.87/6.51 % Clause-clause subsumption calls (NU) : 4758425
% 47.87/6.51 % Rec. Clause-clause subsumption calls : 146278
% 47.87/6.51 % Non-unit clause-clause subsumptions : 10854
% 47.87/6.51 % Unit Clause-clause subsumption calls : 6277
% 47.87/6.51 % Rewrite failures with RHS unbound : 0
% 47.87/6.51 % BW rewrite match attempts : 11
% 47.87/6.51 % BW rewrite match successes : 11
% 47.87/6.51 % Condensation attempts : 0
% 47.87/6.51 % Condensation successes : 0
% 47.87/6.51 % Termbank termtop insertions : 305990
% 47.87/6.51 % Search garbage collected termcells : 2704
% 47.87/6.51
% 47.87/6.51 % -------------------------------------------------
% 47.87/6.51 % User time : 6.018 s
% 47.87/6.51 % System time : 0.036 s
% 47.87/6.51 % Total time : 6.054 s
% 47.87/6.51 % Maximum resident set size: 3940 pages
% 47.87/6.51
% 47.87/6.51 % -------------------------------------------------
% 47.87/6.51 % User time : 29.569 s
% 47.87/6.51 % System time : 0.212 s
% 47.87/6.51 % Total time : 29.780 s
% 47.87/6.51 % Maximum resident set size: 4608 pages
% 47.87/6.51 % E exiting
%------------------------------------------------------------------------------