%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL636+1.005 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:40:39 PM UTC 2026
% Result : Theorem 1.86s 1.86s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 85 ( 11 unt; 0 def)
% Number of atoms : 2297 ( 0 equ)
% Maximal formula atoms : 719 ( 27 avg)
% Number of connectives : 3966 (1754 ~;1443 |; 765 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 99 ( 8 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 : 417 ( 0 sgn 344 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ) ) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ~ p101(X1)
& p100(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(c_0_1,plain,
! [X2] :
( epred1_1(X2)
<=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X1] :
( epred2_1(X1)
<=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) ) ) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| epred2_1(X1) ) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| epred2_1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ~ p101(X1)
& p100(X1) ) ),
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)],[inference(assume_negation,[status(cth)],[main])]),c_0_1]),c_0_2]),c_0_1]),c_0_2]),c_0_1]) ).
fof(c_0_4,negated_conjecture,
! [X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198] :
( ( ~ r1(esk1_0,X157)
| ~ r1(X157,X158)
| ~ r1(X158,X159)
| ~ r1(X159,X160)
| ~ r1(X160,X161)
| p3(X161) )
& ( ~ r1(esk1_0,X162)
| ~ r1(X162,X163)
| ~ r1(X163,X164)
| ~ r1(X164,X165)
| ~ r1(X165,X166)
| epred1_1(X166) )
& ( ~ r1(esk1_0,X167)
| ~ r1(X167,X168)
| ~ r1(X168,X169)
| ~ r1(X169,X170)
| epred2_1(X170) )
& ( ~ r1(esk1_0,X171)
| ~ r1(X171,X172)
| ~ r1(X172,X173)
| epred1_1(X173) )
& ( ~ r1(esk1_0,X174)
| ~ r1(X174,X175)
| epred2_1(X175) )
& ( ~ r1(esk1_0,X176)
| epred1_1(X176) )
& ( r1(esk1_0,esk2_0)
| p105(esk1_0)
| ~ p104(esk1_0) )
& ( ~ p6(esk2_0)
| p105(esk1_0)
| ~ p104(esk1_0) )
& ( ~ p106(esk2_0)
| p105(esk1_0)
| ~ p104(esk1_0) )
& ( p105(esk2_0)
| p105(esk1_0)
| ~ p104(esk1_0) )
& ( r1(esk1_0,esk3_0)
| p105(esk1_0)
| ~ p104(esk1_0) )
& ( p6(esk3_0)
| p105(esk1_0)
| ~ p104(esk1_0) )
& ( ~ p106(esk3_0)
| p105(esk1_0)
| ~ p104(esk1_0) )
& ( p105(esk3_0)
| p105(esk1_0)
| ~ p104(esk1_0) )
& ( r1(esk1_0,esk4_0)
| p104(esk1_0)
| ~ p103(esk1_0) )
& ( ~ p5(esk4_0)
| p104(esk1_0)
| ~ p103(esk1_0) )
& ( ~ p105(esk4_0)
| p104(esk1_0)
| ~ p103(esk1_0) )
& ( p104(esk4_0)
| p104(esk1_0)
| ~ p103(esk1_0) )
& ( r1(esk1_0,esk5_0)
| p104(esk1_0)
| ~ p103(esk1_0) )
& ( p5(esk5_0)
| p104(esk1_0)
| ~ p103(esk1_0) )
& ( ~ p105(esk5_0)
| p104(esk1_0)
| ~ p103(esk1_0) )
& ( p104(esk5_0)
| p104(esk1_0)
| ~ p103(esk1_0) )
& ( r1(esk1_0,esk6_0)
| p103(esk1_0)
| ~ p102(esk1_0) )
& ( ~ p4(esk6_0)
| p103(esk1_0)
| ~ p102(esk1_0) )
& ( ~ p104(esk6_0)
| p103(esk1_0)
| ~ p102(esk1_0) )
& ( p103(esk6_0)
| p103(esk1_0)
| ~ p102(esk1_0) )
& ( r1(esk1_0,esk7_0)
| p103(esk1_0)
| ~ p102(esk1_0) )
& ( p4(esk7_0)
| p103(esk1_0)
| ~ p102(esk1_0) )
& ( ~ p104(esk7_0)
| p103(esk1_0)
| ~ p102(esk1_0) )
& ( p103(esk7_0)
| p103(esk1_0)
| ~ p102(esk1_0) )
& ( r1(esk1_0,esk8_0)
| p102(esk1_0)
| ~ p101(esk1_0) )
& ( ~ p3(esk8_0)
| p102(esk1_0)
| ~ p101(esk1_0) )
& ( ~ p103(esk8_0)
| p102(esk1_0)
| ~ p101(esk1_0) )
& ( p102(esk8_0)
| p102(esk1_0)
| ~ p101(esk1_0) )
& ( r1(esk1_0,esk9_0)
| p102(esk1_0)
| ~ p101(esk1_0) )
& ( p3(esk9_0)
| p102(esk1_0)
| ~ p101(esk1_0) )
& ( ~ p103(esk9_0)
| p102(esk1_0)
| ~ p101(esk1_0) )
& ( p102(esk9_0)
| p102(esk1_0)
| ~ p101(esk1_0) )
& ( r1(esk1_0,esk10_0)
| p101(esk1_0)
| ~ p100(esk1_0) )
& ( ~ p2(esk10_0)
| p101(esk1_0)
| ~ p100(esk1_0) )
& ( ~ p102(esk10_0)
| p101(esk1_0)
| ~ p100(esk1_0) )
& ( p101(esk10_0)
| p101(esk1_0)
| ~ p100(esk1_0) )
& ( r1(esk1_0,esk11_0)
| p101(esk1_0)
| ~ p100(esk1_0) )
& ( p2(esk11_0)
| p101(esk1_0)
| ~ p100(esk1_0) )
& ( ~ p102(esk11_0)
| p101(esk1_0)
| ~ p100(esk1_0) )
& ( p101(esk11_0)
| p101(esk1_0)
| ~ p100(esk1_0) )
& ( ~ r1(esk1_0,X187)
| ~ p6(X187)
| ~ p105(X187)
| p6(esk1_0)
| ~ p105(esk1_0) )
& ( ~ r1(esk1_0,X188)
| p6(X188)
| ~ p105(X188)
| ~ p6(esk1_0)
| ~ p105(esk1_0) )
& ( ~ r1(esk1_0,X189)
| ~ p5(X189)
| ~ p104(X189)
| p5(esk1_0)
| ~ p104(esk1_0) )
& ( ~ r1(esk1_0,X190)
| p5(X190)
| ~ p104(X190)
| ~ p5(esk1_0)
| ~ p104(esk1_0) )
& ( ~ r1(esk1_0,X191)
| ~ p4(X191)
| ~ p103(X191)
| p4(esk1_0)
| ~ p103(esk1_0) )
& ( ~ r1(esk1_0,X192)
| p4(X192)
| ~ p103(X192)
| ~ p4(esk1_0)
| ~ p103(esk1_0) )
& ( ~ r1(esk1_0,X193)
| ~ p3(X193)
| ~ p102(X193)
| p3(esk1_0)
| ~ p102(esk1_0) )
& ( ~ r1(esk1_0,X194)
| p3(X194)
| ~ p102(X194)
| ~ p3(esk1_0)
| ~ p102(esk1_0) )
& ( ~ r1(esk1_0,X195)
| ~ p2(X195)
| ~ p101(X195)
| p2(esk1_0)
| ~ p101(esk1_0) )
& ( ~ r1(esk1_0,X196)
| p2(X196)
| ~ p101(X196)
| ~ p2(esk1_0)
| ~ p101(esk1_0) )
& ( ~ r1(esk1_0,X197)
| ~ p1(X197)
| ~ p100(X197)
| p1(esk1_0)
| ~ p100(esk1_0) )
& ( ~ r1(esk1_0,X198)
| p1(X198)
| ~ p100(X198)
| ~ p1(esk1_0)
| ~ p100(esk1_0) )
& ( p105(esk1_0)
| ~ p106(esk1_0) )
& ( p104(esk1_0)
| ~ p105(esk1_0) )
& ( p103(esk1_0)
| ~ p104(esk1_0) )
& ( p102(esk1_0)
| ~ p103(esk1_0) )
& ( p101(esk1_0)
| ~ p102(esk1_0) )
& ( p100(esk1_0)
| ~ p101(esk1_0) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_5,plain,
! [X2] :
( epred1_1(X2)
=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
cnf(c_0_6,negated_conjecture,
( r1(esk1_0,esk11_0)
| p101(esk1_0)
| ~ p100(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_9,plain,
! [X199,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221] :
( ( r1(X199,esk12_1(X199))
| p105(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( ~ p6(esk12_1(X199))
| p105(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( ~ p106(esk12_1(X199))
| p105(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( p105(esk12_1(X199))
| p105(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( r1(X199,esk13_1(X199))
| p105(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( p6(esk13_1(X199))
| p105(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( ~ p106(esk13_1(X199))
| p105(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( p105(esk13_1(X199))
| p105(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( r1(X199,esk14_1(X199))
| p104(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( ~ p5(esk14_1(X199))
| p104(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( ~ p105(esk14_1(X199))
| p104(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( p104(esk14_1(X199))
| p104(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( r1(X199,esk15_1(X199))
| p104(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( p5(esk15_1(X199))
| p104(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( ~ p105(esk15_1(X199))
| p104(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( p104(esk15_1(X199))
| p104(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( r1(X199,esk16_1(X199))
| p103(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( ~ p4(esk16_1(X199))
| p103(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( ~ p104(esk16_1(X199))
| p103(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( p103(esk16_1(X199))
| p103(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( r1(X199,esk17_1(X199))
| p103(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( p4(esk17_1(X199))
| p103(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( ~ p104(esk17_1(X199))
| p103(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( p103(esk17_1(X199))
| p103(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( r1(X199,esk18_1(X199))
| p102(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( ~ p3(esk18_1(X199))
| p102(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( ~ p103(esk18_1(X199))
| p102(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( p102(esk18_1(X199))
| p102(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( r1(X199,esk19_1(X199))
| p102(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( p3(esk19_1(X199))
| p102(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( ~ p103(esk19_1(X199))
| p102(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( p102(esk19_1(X199))
| p102(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( r1(X199,esk20_1(X199))
| p101(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( ~ p2(esk20_1(X199))
| p101(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( ~ p102(esk20_1(X199))
| p101(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( p101(esk20_1(X199))
| p101(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( r1(X199,esk21_1(X199))
| p101(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( p2(esk21_1(X199))
| p101(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( ~ p102(esk21_1(X199))
| p101(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( p101(esk21_1(X199))
| p101(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X210)
| ~ p6(X210)
| ~ p105(X210)
| p6(X199)
| ~ p105(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X211)
| p6(X211)
| ~ p105(X211)
| ~ p6(X199)
| ~ p105(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X212)
| ~ p5(X212)
| ~ p104(X212)
| p5(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X213)
| p5(X213)
| ~ p104(X213)
| ~ p5(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X214)
| ~ p4(X214)
| ~ p103(X214)
| p4(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X215)
| p4(X215)
| ~ p103(X215)
| ~ p4(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X216)
| ~ p3(X216)
| ~ p102(X216)
| p3(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X217)
| p3(X217)
| ~ p102(X217)
| ~ p3(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X218)
| ~ p2(X218)
| ~ p101(X218)
| p2(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X219)
| p2(X219)
| ~ p101(X219)
| ~ p2(X199)
| ~ p101(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X220)
| ~ p1(X220)
| ~ p100(X220)
| p1(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( ~ r1(X199,X221)
| p1(X221)
| ~ p100(X221)
| ~ p1(X199)
| ~ p100(X199)
| ~ epred1_1(X199) )
& ( p105(X199)
| ~ p106(X199)
| ~ epred1_1(X199) )
& ( p104(X199)
| ~ p105(X199)
| ~ epred1_1(X199) )
& ( p103(X199)
| ~ p104(X199)
| ~ epred1_1(X199) )
& ( p102(X199)
| ~ p103(X199)
| ~ epred1_1(X199) )
& ( p101(X199)
| ~ p102(X199)
| ~ epred1_1(X199) )
& ( p100(X199)
| ~ p101(X199)
| ~ epred1_1(X199) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_10,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
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]) ).
cnf(c_0_12,negated_conjecture,
( p101(esk11_0)
| p101(esk1_0)
| ~ p100(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( p101(esk1_0)
| ~ p102(esk11_0)
| ~ p100(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_14,plain,
! [X1] :
( epred2_1(X1)
=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( epred2_1(X2)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( r1(X1,esk18_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
epred1_1(esk11_0),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
p101(esk11_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_7])]),c_0_8]) ).
cnf(c_0_19,negated_conjecture,
~ p102(esk11_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_7])]),c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( epred1_1(X3)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_21,plain,
! [X222,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244] :
( ( r1(X222,esk22_1(X222))
| p105(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( ~ p6(esk22_1(X222))
| p105(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( ~ p106(esk22_1(X222))
| p105(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( p105(esk22_1(X222))
| p105(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( r1(X222,esk23_1(X222))
| p105(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( p6(esk23_1(X222))
| p105(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( ~ p106(esk23_1(X222))
| p105(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( p105(esk23_1(X222))
| p105(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( r1(X222,esk24_1(X222))
| p104(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( ~ p5(esk24_1(X222))
| p104(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( ~ p105(esk24_1(X222))
| p104(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( p104(esk24_1(X222))
| p104(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( r1(X222,esk25_1(X222))
| p104(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( p5(esk25_1(X222))
| p104(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( ~ p105(esk25_1(X222))
| p104(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( p104(esk25_1(X222))
| p104(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( r1(X222,esk26_1(X222))
| p103(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( ~ p4(esk26_1(X222))
| p103(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( ~ p104(esk26_1(X222))
| p103(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( p103(esk26_1(X222))
| p103(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( r1(X222,esk27_1(X222))
| p103(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( p4(esk27_1(X222))
| p103(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( ~ p104(esk27_1(X222))
| p103(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( p103(esk27_1(X222))
| p103(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( r1(X222,esk28_1(X222))
| p102(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( ~ p3(esk28_1(X222))
| p102(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( ~ p103(esk28_1(X222))
| p102(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( p102(esk28_1(X222))
| p102(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( r1(X222,esk29_1(X222))
| p102(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( p3(esk29_1(X222))
| p102(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( ~ p103(esk29_1(X222))
| p102(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( p102(esk29_1(X222))
| p102(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( r1(X222,esk30_1(X222))
| p101(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( ~ p2(esk30_1(X222))
| p101(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( ~ p102(esk30_1(X222))
| p101(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( p101(esk30_1(X222))
| p101(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( r1(X222,esk31_1(X222))
| p101(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( p2(esk31_1(X222))
| p101(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( ~ p102(esk31_1(X222))
| p101(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( p101(esk31_1(X222))
| p101(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X233)
| ~ p6(X233)
| ~ p105(X233)
| p6(X222)
| ~ p105(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X234)
| p6(X234)
| ~ p105(X234)
| ~ p6(X222)
| ~ p105(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X235)
| ~ p5(X235)
| ~ p104(X235)
| p5(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X236)
| p5(X236)
| ~ p104(X236)
| ~ p5(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X237)
| ~ p4(X237)
| ~ p103(X237)
| p4(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X238)
| p4(X238)
| ~ p103(X238)
| ~ p4(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X239)
| ~ p3(X239)
| ~ p102(X239)
| p3(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X240)
| p3(X240)
| ~ p102(X240)
| ~ p3(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X241)
| ~ p2(X241)
| ~ p101(X241)
| p2(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X242)
| p2(X242)
| ~ p101(X242)
| ~ p2(X222)
| ~ p101(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X243)
| ~ p1(X243)
| ~ p100(X243)
| p1(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( ~ r1(X222,X244)
| p1(X244)
| ~ p100(X244)
| ~ p1(X222)
| ~ p100(X222)
| ~ epred2_1(X222) )
& ( p105(X222)
| ~ p106(X222)
| ~ epred2_1(X222) )
& ( p104(X222)
| ~ p105(X222)
| ~ epred2_1(X222) )
& ( p103(X222)
| ~ p104(X222)
| ~ epred2_1(X222) )
& ( p102(X222)
| ~ p103(X222)
| ~ epred2_1(X222) )
& ( p101(X222)
| ~ p102(X222)
| ~ epred2_1(X222) )
& ( p100(X222)
| ~ p101(X222)
| ~ epred2_1(X222) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
cnf(c_0_22,negated_conjecture,
( epred2_1(X1)
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_23,negated_conjecture,
r1(esk11_0,esk18_1(esk11_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_24,plain,
( p102(esk18_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( epred2_1(X4)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk11_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_11]) ).
cnf(c_0_27,plain,
( r1(X1,esk26_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
epred2_1(esk18_1(esk11_0)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
p102(esk18_1(esk11_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_30,negated_conjecture,
( epred1_1(X5)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,negated_conjecture,
( epred2_1(X1)
| ~ r1(esk11_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk18_1(esk11_0),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_33,plain,
( p103(esk18_1(esk11_0))
| r1(esk18_1(esk11_0),esk26_1(esk18_1(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_34,plain,
( p103(esk26_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk11_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_11]) ).
cnf(c_0_36,negated_conjecture,
( epred2_1(X1)
| ~ r1(esk18_1(esk11_0),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
cnf(c_0_37,plain,
( r1(X1,esk14_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_38,negated_conjecture,
( epred1_1(esk26_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
( p103(esk26_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_29])]) ).
cnf(c_0_40,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk18_1(esk11_0),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_41,negated_conjecture,
( epred2_1(X1)
| p103(esk18_1(esk11_0))
| ~ r1(esk26_1(esk18_1(esk11_0)),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_42,plain,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| r1(esk26_1(esk18_1(esk11_0)),esk14_1(esk26_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_43,plain,
( p104(esk14_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_44,negated_conjecture,
( p3(X5)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_45,negated_conjecture,
( epred1_1(X1)
| p103(esk18_1(esk11_0))
| ~ r1(esk26_1(esk18_1(esk11_0)),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_46,plain,
( r1(X1,esk22_1(X1))
| p105(X1)
| ~ p104(X1)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_47,negated_conjecture,
( epred2_1(esk14_1(esk26_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0))) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( p103(esk18_1(esk11_0))
| p104(esk14_1(esk26_1(esk18_1(esk11_0))))
| p104(esk26_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_39]) ).
cnf(c_0_49,negated_conjecture,
( p3(X1)
| ~ r1(esk11_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_44,c_0_11]) ).
cnf(c_0_50,plain,
( p105(esk22_1(X1))
| p105(X1)
| ~ p104(X1)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_51,negated_conjecture,
( epred1_1(X1)
| p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| ~ r1(esk14_1(esk26_1(esk18_1(esk11_0))),X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
cnf(c_0_52,plain,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p105(esk14_1(esk26_1(esk18_1(esk11_0))))
| r1(esk14_1(esk26_1(esk18_1(esk11_0))),esk22_1(esk14_1(esk26_1(esk18_1(esk11_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( p3(X1)
| ~ r1(esk18_1(esk11_0),X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_23]) ).
cnf(c_0_54,plain,
( p104(X1)
| ~ p105(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_55,plain,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p105(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
| p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( epred1_1(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( p103(X1)
| ~ p104(X1)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_58,negated_conjecture,
( p103(esk18_1(esk11_0))
| p3(X1)
| ~ r1(esk26_1(esk18_1(esk11_0)),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_33]) ).
cnf(c_0_59,plain,
( p103(X1)
| ~ p104(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_60,plain,
( p103(esk18_1(esk11_0))
| p104(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
| p104(esk26_1(esk18_1(esk11_0)))
| p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_61,plain,
( p102(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_62,plain,
( p102(X1)
| ~ p103(X1)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_63,plain,
( p103(esk14_1(esk26_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_48]) ).
cnf(c_0_64,negated_conjecture,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p3(X1)
| ~ r1(esk14_1(esk26_1(esk18_1(esk11_0))),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_42]) ).
cnf(c_0_65,plain,
( p103(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_56]),c_0_60]) ).
cnf(c_0_66,plain,
( p3(X1)
| ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_67,plain,
( p102(esk26_1(esk18_1(esk11_0)))
| p103(esk18_1(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_38]),c_0_39]) ).
cnf(c_0_68,plain,
( p102(esk14_1(esk26_1(esk18_1(esk11_0))))
| p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_47]),c_0_63]) ).
cnf(c_0_69,plain,
( p3(X1)
| ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2)
| ~ p102(X1)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_70,negated_conjecture,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p105(esk14_1(esk26_1(esk18_1(esk11_0))))
| p3(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0))))) ),
inference(spm,[status(thm)],[c_0_64,c_0_52]) ).
cnf(c_0_71,plain,
( p102(esk22_1(esk14_1(esk26_1(esk18_1(esk11_0)))))
| p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p105(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_56]),c_0_65]) ).
cnf(c_0_72,plain,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p3(esk26_1(esk18_1(esk11_0)))
| ~ p3(esk14_1(esk26_1(esk18_1(esk11_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_42]),c_0_67]),c_0_68]),c_0_38]) ).
cnf(c_0_73,plain,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p105(esk14_1(esk26_1(esk18_1(esk11_0))))
| p3(esk14_1(esk26_1(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_69,c_0_52]),c_0_70]),c_0_68]),c_0_71]),c_0_47]) ).
cnf(c_0_74,plain,
( p104(X1)
| ~ p105(esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_75,plain,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p105(esk14_1(esk26_1(esk18_1(esk11_0))))
| p3(esk26_1(esk18_1(esk11_0))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
( p103(esk18_1(esk11_0))
| p3(esk18_1(esk11_0))
| ~ p3(esk26_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_33]),c_0_28]),c_0_29])]),c_0_67]) ).
cnf(c_0_77,plain,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p3(esk26_1(esk18_1(esk11_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_39]),c_0_38]) ).
cnf(c_0_78,plain,
( p103(X1)
| ~ p104(esk26_1(X1))
| ~ p102(X1)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_79,plain,
( p103(esk18_1(esk11_0))
| p104(esk26_1(esk18_1(esk11_0)))
| p3(esk18_1(esk11_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,plain,
( p102(X1)
| ~ p3(esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_81,plain,
( p103(esk18_1(esk11_0))
| p3(esk18_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_28]),c_0_29])]) ).
cnf(c_0_82,plain,
( p102(X1)
| ~ p103(esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_83,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_80,c_0_81]),c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_84,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL636+1.005 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 22:43:42 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.86/1.86 % Version : CSE_E---1.7
% 1.86/1.86 % Problem : theBenchmark.p
% 1.86/1.86 % SZS status Theorem for theBenchmark.p
% 1.86/1.86 % SZS output start CNFRefutation
% See solution above
% 1.86/1.86 % Total time : 1.372s
%------------------------------------------------------------------------------