%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL636+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 : Tue Sep 29 11:59:04 AM UTC 2026
% Result : Theorem 2.21s 0.82s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 76
% Syntax : Number of formulae : 342 ( 31 unt; 75 def)
% Number of atoms : 7435 ( 0 equ)
% Maximal formula atoms : 719 ( 21 avg)
% Number of connectives : 12423 (5330 ~;4147 |;2931 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 90 ( 89 usr; 16 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-1 aty)
% Number of variables : 1521 ( 0 sgn1306 !; 215 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ 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) ) ) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ 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) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ 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) ) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ 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) ) ) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ 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) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ 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) ) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
| ~ ( ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ~ ! [X11] :
( ~ r1(X10,X11)
| ~ ( ~ p6(X11)
& ~ p106(X11)
& p105(X11) ) )
& ~ ! [X12] :
( ~ r1(X10,X12)
| ~ ( p6(X12)
& ~ p106(X12)
& p105(X12) ) ) )
| ~ ( ~ p105(X10)
& p104(X10) ) )
& ( ( ~ ! [X13] :
( ~ r1(X10,X13)
| ~ ( ~ p5(X13)
& ~ p105(X13)
& p104(X13) ) )
& ~ ! [X14] :
( ~ r1(X10,X14)
| ~ ( p5(X14)
& ~ p105(X14)
& p104(X14) ) ) )
| ~ ( ~ p104(X10)
& p103(X10) ) )
& ( ( ~ ! [X15] :
( ~ r1(X10,X15)
| ~ ( ~ p4(X15)
& ~ p104(X15)
& p103(X15) ) )
& ~ ! [X16] :
( ~ r1(X10,X16)
| ~ ( p4(X16)
& ~ p104(X16)
& p103(X16) ) ) )
| ~ ( ~ p103(X10)
& p102(X10) ) )
& ( ( ~ ! [X17] :
( ~ r1(X10,X17)
| ~ ( ~ p3(X17)
& ~ p103(X17)
& p102(X17) ) )
& ~ ! [X18] :
( ~ r1(X10,X18)
| ~ ( p3(X18)
& ~ p103(X18)
& p102(X18) ) ) )
| ~ ( ~ p102(X10)
& p101(X10) ) )
& ( ( ~ ! [X19] :
( ~ r1(X10,X19)
| ~ ( ~ p2(X19)
& ~ p102(X19)
& p101(X19) ) )
& ~ ! [X20] :
( ~ r1(X10,X20)
| ~ ( p2(X20)
& ~ p102(X20)
& p101(X20) ) ) )
| ~ ( ~ p101(X10)
& p100(X10) ) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p105(X10)
| ~ p106(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ! [X33] :
( ~ r1(X0,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ( ( ( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ ( ~ p6(X37)
& ~ p106(X37)
& p105(X37) ) )
& ~ ! [X38] :
( ~ r1(X36,X38)
| ~ ( p6(X38)
& ~ p106(X38)
& p105(X38) ) ) )
| ~ ( ~ p105(X36)
& p104(X36) ) )
& ( ( ~ ! [X39] :
( ~ r1(X36,X39)
| ~ ( ~ p5(X39)
& ~ p105(X39)
& p104(X39) ) )
& ~ ! [X40] :
( ~ r1(X36,X40)
| ~ ( p5(X40)
& ~ p105(X40)
& p104(X40) ) ) )
| ~ ( ~ p104(X36)
& p103(X36) ) )
& ( ( ~ ! [X41] :
( ~ r1(X36,X41)
| ~ ( ~ p4(X41)
& ~ p104(X41)
& p103(X41) ) )
& ~ ! [X42] :
( ~ r1(X36,X42)
| ~ ( p4(X42)
& ~ p104(X42)
& p103(X42) ) ) )
| ~ ( ~ p103(X36)
& p102(X36) ) )
& ( ( ~ ! [X43] :
( ~ r1(X36,X43)
| ~ ( ~ p3(X43)
& ~ p103(X43)
& p102(X43) ) )
& ~ ! [X44] :
( ~ r1(X36,X44)
| ~ ( p3(X44)
& ~ p103(X44)
& p102(X44) ) ) )
| ~ ( ~ p102(X36)
& p101(X36) ) )
& ( ( ~ ! [X45] :
( ~ r1(X36,X45)
| ~ ( ~ p2(X45)
& ~ p102(X45)
& p101(X45) ) )
& ~ ! [X46] :
( ~ r1(X36,X46)
| ~ ( p2(X46)
& ~ p102(X46)
& p101(X46) ) ) )
| ~ ( ~ p101(X36)
& p100(X36) ) )
& ( ( ( ! [X47] :
( ~ r1(X36,X47)
| ~ p6(X47)
| ~ p105(X47) )
| p6(X36) )
& ( ! [X48] :
( ~ r1(X36,X48)
| p6(X48)
| ~ p105(X48) )
| ~ p6(X36) ) )
| ~ p105(X36) )
& ( ( ( ! [X49] :
( ~ r1(X36,X49)
| ~ p5(X49)
| ~ p104(X49) )
| p5(X36) )
& ( ! [X50] :
( ~ r1(X36,X50)
| p5(X50)
| ~ p104(X50) )
| ~ p5(X36) ) )
| ~ p104(X36) )
& ( ( ( ! [X51] :
( ~ r1(X36,X51)
| ~ p4(X51)
| ~ p103(X51) )
| p4(X36) )
& ( ! [X52] :
( ~ r1(X36,X52)
| p4(X52)
| ~ p103(X52) )
| ~ p4(X36) ) )
| ~ p103(X36) )
& ( ( ( ! [X53] :
( ~ r1(X36,X53)
| ~ p3(X53)
| ~ p102(X53) )
| p3(X36) )
& ( ! [X54] :
( ~ r1(X36,X54)
| p3(X54)
| ~ p102(X54) )
| ~ p3(X36) ) )
| ~ p102(X36) )
& ( ( ( ! [X55] :
( ~ r1(X36,X55)
| ~ p2(X55)
| ~ p101(X55) )
| p2(X36) )
& ( ! [X56] :
( ~ r1(X36,X56)
| p2(X56)
| ~ p101(X56) )
| ~ p2(X36) ) )
| ~ p101(X36) )
& ( ( ( ! [X57] :
( ~ r1(X36,X57)
| ~ p1(X57)
| ~ p100(X57) )
| p1(X36) )
& ( ! [X58] :
( ~ r1(X36,X58)
| p1(X58)
| ~ p100(X58) )
| ~ p1(X36) ) )
| ~ p100(X36) )
& ( p105(X36)
| ~ p106(X36) )
& ( p104(X36)
| ~ p105(X36) )
& ( p103(X36)
| ~ p104(X36) )
& ( p102(X36)
| ~ p103(X36) )
& ( p101(X36)
| ~ p102(X36) )
& ( p100(X36)
| ~ p101(X36) ) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| ( ( ( ~ ! [X62] :
( ~ r1(X61,X62)
| ~ ( ~ p6(X62)
& ~ p106(X62)
& p105(X62) ) )
& ~ ! [X63] :
( ~ r1(X61,X63)
| ~ ( p6(X63)
& ~ p106(X63)
& p105(X63) ) ) )
| ~ ( ~ p105(X61)
& p104(X61) ) )
& ( ( ~ ! [X64] :
( ~ r1(X61,X64)
| ~ ( ~ p5(X64)
& ~ p105(X64)
& p104(X64) ) )
& ~ ! [X65] :
( ~ r1(X61,X65)
| ~ ( p5(X65)
& ~ p105(X65)
& p104(X65) ) ) )
| ~ ( ~ p104(X61)
& p103(X61) ) )
& ( ( ~ ! [X66] :
( ~ r1(X61,X66)
| ~ ( ~ p4(X66)
& ~ p104(X66)
& p103(X66) ) )
& ~ ! [X67] :
( ~ r1(X61,X67)
| ~ ( p4(X67)
& ~ p104(X67)
& p103(X67) ) ) )
| ~ ( ~ p103(X61)
& p102(X61) ) )
& ( ( ~ ! [X68] :
( ~ r1(X61,X68)
| ~ ( ~ p3(X68)
& ~ p103(X68)
& p102(X68) ) )
& ~ ! [X69] :
( ~ r1(X61,X69)
| ~ ( p3(X69)
& ~ p103(X69)
& p102(X69) ) ) )
| ~ ( ~ p102(X61)
& p101(X61) ) )
& ( ( ~ ! [X70] :
( ~ r1(X61,X70)
| ~ ( ~ p2(X70)
& ~ p102(X70)
& p101(X70) ) )
& ~ ! [X71] :
( ~ r1(X61,X71)
| ~ ( p2(X71)
& ~ p102(X71)
& p101(X71) ) ) )
| ~ ( ~ p101(X61)
& p100(X61) ) )
& ( ( ( ! [X72] :
( ~ r1(X61,X72)
| ~ p6(X72)
| ~ p105(X72) )
| p6(X61) )
& ( ! [X73] :
( ~ r1(X61,X73)
| p6(X73)
| ~ p105(X73) )
| ~ p6(X61) ) )
| ~ p105(X61) )
& ( ( ( ! [X74] :
( ~ r1(X61,X74)
| ~ p5(X74)
| ~ p104(X74) )
| p5(X61) )
& ( ! [X75] :
( ~ r1(X61,X75)
| p5(X75)
| ~ p104(X75) )
| ~ p5(X61) ) )
| ~ p104(X61) )
& ( ( ( ! [X76] :
( ~ r1(X61,X76)
| ~ p4(X76)
| ~ p103(X76) )
| p4(X61) )
& ( ! [X77] :
( ~ r1(X61,X77)
| p4(X77)
| ~ p103(X77) )
| ~ p4(X61) ) )
| ~ p103(X61) )
& ( ( ( ! [X78] :
( ~ r1(X61,X78)
| ~ p3(X78)
| ~ p102(X78) )
| p3(X61) )
& ( ! [X79] :
( ~ r1(X61,X79)
| p3(X79)
| ~ p102(X79) )
| ~ p3(X61) ) )
| ~ p102(X61) )
& ( ( ( ! [X80] :
( ~ r1(X61,X80)
| ~ p2(X80)
| ~ p101(X80) )
| p2(X61) )
& ( ! [X81] :
( ~ r1(X61,X81)
| p2(X81)
| ~ p101(X81) )
| ~ p2(X61) ) )
| ~ p101(X61) )
& ( ( ( ! [X82] :
( ~ r1(X61,X82)
| ~ p1(X82)
| ~ p100(X82) )
| p1(X61) )
& ( ! [X83] :
( ~ r1(X61,X83)
| p1(X83)
| ~ p100(X83) )
| ~ p1(X61) ) )
| ~ p100(X61) )
& ( p105(X61)
| ~ p106(X61) )
& ( p104(X61)
| ~ p105(X61) )
& ( p103(X61)
| ~ p104(X61) )
& ( p102(X61)
| ~ p103(X61) )
& ( p101(X61)
| ~ p102(X61) )
& ( p100(X61)
| ~ p101(X61) ) ) ) ) )
& ! [X84] :
( ~ r1(X0,X84)
| ! [X85] :
( ~ r1(X84,X85)
| ( ( ( ~ ! [X86] :
( ~ r1(X85,X86)
| ~ ( ~ p6(X86)
& ~ p106(X86)
& p105(X86) ) )
& ~ ! [X87] :
( ~ r1(X85,X87)
| ~ ( p6(X87)
& ~ p106(X87)
& p105(X87) ) ) )
| ~ ( ~ p105(X85)
& p104(X85) ) )
& ( ( ~ ! [X88] :
( ~ r1(X85,X88)
| ~ ( ~ p5(X88)
& ~ p105(X88)
& p104(X88) ) )
& ~ ! [X89] :
( ~ r1(X85,X89)
| ~ ( p5(X89)
& ~ p105(X89)
& p104(X89) ) ) )
| ~ ( ~ p104(X85)
& p103(X85) ) )
& ( ( ~ ! [X90] :
( ~ r1(X85,X90)
| ~ ( ~ p4(X90)
& ~ p104(X90)
& p103(X90) ) )
& ~ ! [X91] :
( ~ r1(X85,X91)
| ~ ( p4(X91)
& ~ p104(X91)
& p103(X91) ) ) )
| ~ ( ~ p103(X85)
& p102(X85) ) )
& ( ( ~ ! [X92] :
( ~ r1(X85,X92)
| ~ ( ~ p3(X92)
& ~ p103(X92)
& p102(X92) ) )
& ~ ! [X93] :
( ~ r1(X85,X93)
| ~ ( p3(X93)
& ~ p103(X93)
& p102(X93) ) ) )
| ~ ( ~ p102(X85)
& p101(X85) ) )
& ( ( ~ ! [X94] :
( ~ r1(X85,X94)
| ~ ( ~ p2(X94)
& ~ p102(X94)
& p101(X94) ) )
& ~ ! [X95] :
( ~ r1(X85,X95)
| ~ ( p2(X95)
& ~ p102(X95)
& p101(X95) ) ) )
| ~ ( ~ p101(X85)
& p100(X85) ) )
& ( ( ( ! [X96] :
( ~ r1(X85,X96)
| ~ p6(X96)
| ~ p105(X96) )
| p6(X85) )
& ( ! [X97] :
( ~ r1(X85,X97)
| p6(X97)
| ~ p105(X97) )
| ~ p6(X85) ) )
| ~ p105(X85) )
& ( ( ( ! [X98] :
( ~ r1(X85,X98)
| ~ p5(X98)
| ~ p104(X98) )
| p5(X85) )
& ( ! [X99] :
( ~ r1(X85,X99)
| p5(X99)
| ~ p104(X99) )
| ~ p5(X85) ) )
| ~ p104(X85) )
& ( ( ( ! [X100] :
( ~ r1(X85,X100)
| ~ p4(X100)
| ~ p103(X100) )
| p4(X85) )
& ( ! [X101] :
( ~ r1(X85,X101)
| p4(X101)
| ~ p103(X101) )
| ~ p4(X85) ) )
| ~ p103(X85) )
& ( ( ( ! [X102] :
( ~ r1(X85,X102)
| ~ p3(X102)
| ~ p102(X102) )
| p3(X85) )
& ( ! [X103] :
( ~ r1(X85,X103)
| p3(X103)
| ~ p102(X103) )
| ~ p3(X85) ) )
| ~ p102(X85) )
& ( ( ( ! [X104] :
( ~ r1(X85,X104)
| ~ p2(X104)
| ~ p101(X104) )
| p2(X85) )
& ( ! [X105] :
( ~ r1(X85,X105)
| p2(X105)
| ~ p101(X105) )
| ~ p2(X85) ) )
| ~ p101(X85) )
& ( ( ( ! [X106] :
( ~ r1(X85,X106)
| ~ p1(X106)
| ~ p100(X106) )
| p1(X85) )
& ( ! [X107] :
( ~ r1(X85,X107)
| p1(X107)
| ~ p100(X107) )
| ~ p1(X85) ) )
| ~ p100(X85) )
& ( p105(X85)
| ~ p106(X85) )
& ( p104(X85)
| ~ p105(X85) )
& ( p103(X85)
| ~ p104(X85) )
& ( p102(X85)
| ~ p103(X85) )
& ( p101(X85)
| ~ p102(X85) )
& ( p100(X85)
| ~ p101(X85) ) ) ) )
& ! [X108] :
( ~ r1(X0,X108)
| ( ( ( ~ ! [X109] :
( ~ r1(X108,X109)
| ~ ( ~ p6(X109)
& ~ p106(X109)
& p105(X109) ) )
& ~ ! [X110] :
( ~ r1(X108,X110)
| ~ ( p6(X110)
& ~ p106(X110)
& p105(X110) ) ) )
| ~ ( ~ p105(X108)
& p104(X108) ) )
& ( ( ~ ! [X111] :
( ~ r1(X108,X111)
| ~ ( ~ p5(X111)
& ~ p105(X111)
& p104(X111) ) )
& ~ ! [X112] :
( ~ r1(X108,X112)
| ~ ( p5(X112)
& ~ p105(X112)
& p104(X112) ) ) )
| ~ ( ~ p104(X108)
& p103(X108) ) )
& ( ( ~ ! [X113] :
( ~ r1(X108,X113)
| ~ ( ~ p4(X113)
& ~ p104(X113)
& p103(X113) ) )
& ~ ! [X114] :
( ~ r1(X108,X114)
| ~ ( p4(X114)
& ~ p104(X114)
& p103(X114) ) ) )
| ~ ( ~ p103(X108)
& p102(X108) ) )
& ( ( ~ ! [X115] :
( ~ r1(X108,X115)
| ~ ( ~ p3(X115)
& ~ p103(X115)
& p102(X115) ) )
& ~ ! [X116] :
( ~ r1(X108,X116)
| ~ ( p3(X116)
& ~ p103(X116)
& p102(X116) ) ) )
| ~ ( ~ p102(X108)
& p101(X108) ) )
& ( ( ~ ! [X117] :
( ~ r1(X108,X117)
| ~ ( ~ p2(X117)
& ~ p102(X117)
& p101(X117) ) )
& ~ ! [X118] :
( ~ r1(X108,X118)
| ~ ( p2(X118)
& ~ p102(X118)
& p101(X118) ) ) )
| ~ ( ~ p101(X108)
& p100(X108) ) )
& ( ( ( ! [X119] :
( ~ r1(X108,X119)
| ~ p6(X119)
| ~ p105(X119) )
| p6(X108) )
& ( ! [X120] :
( ~ r1(X108,X120)
| p6(X120)
| ~ p105(X120) )
| ~ p6(X108) ) )
| ~ p105(X108) )
& ( ( ( ! [X121] :
( ~ r1(X108,X121)
| ~ p5(X121)
| ~ p104(X121) )
| p5(X108) )
& ( ! [X122] :
( ~ r1(X108,X122)
| p5(X122)
| ~ p104(X122) )
| ~ p5(X108) ) )
| ~ p104(X108) )
& ( ( ( ! [X123] :
( ~ r1(X108,X123)
| ~ p4(X123)
| ~ p103(X123) )
| p4(X108) )
& ( ! [X124] :
( ~ r1(X108,X124)
| p4(X124)
| ~ p103(X124) )
| ~ p4(X108) ) )
| ~ p103(X108) )
& ( ( ( ! [X125] :
( ~ r1(X108,X125)
| ~ p3(X125)
| ~ p102(X125) )
| p3(X108) )
& ( ! [X126] :
( ~ r1(X108,X126)
| p3(X126)
| ~ p102(X126) )
| ~ p3(X108) ) )
| ~ p102(X108) )
& ( ( ( ! [X127] :
( ~ r1(X108,X127)
| ~ p2(X127)
| ~ p101(X127) )
| p2(X108) )
& ( ! [X128] :
( ~ r1(X108,X128)
| p2(X128)
| ~ p101(X128) )
| ~ p2(X108) ) )
| ~ p101(X108) )
& ( ( ( ! [X129] :
( ~ r1(X108,X129)
| ~ p1(X129)
| ~ p100(X129) )
| p1(X108) )
& ( ! [X130] :
( ~ r1(X108,X130)
| p1(X130)
| ~ p100(X130) )
| ~ p1(X108) ) )
| ~ p100(X108) )
& ( p105(X108)
| ~ p106(X108) )
& ( p104(X108)
| ~ p105(X108) )
& ( p103(X108)
| ~ p104(X108) )
& ( p102(X108)
| ~ p103(X108) )
& ( p101(X108)
| ~ p102(X108) )
& ( p100(X108)
| ~ p101(X108) ) ) )
& ( ( ~ ! [X131] :
( ~ r1(X0,X131)
| ~ ( ~ p6(X131)
& ~ p106(X131)
& p105(X131) ) )
& ~ ! [X132] :
( ~ r1(X0,X132)
| ~ ( p6(X132)
& ~ p106(X132)
& p105(X132) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X133] :
( ~ r1(X0,X133)
| ~ ( ~ p5(X133)
& ~ p105(X133)
& p104(X133) ) )
& ~ ! [X134] :
( ~ r1(X0,X134)
| ~ ( p5(X134)
& ~ p105(X134)
& p104(X134) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X135] :
( ~ r1(X0,X135)
| ~ ( ~ p4(X135)
& ~ p104(X135)
& p103(X135) ) )
& ~ ! [X136] :
( ~ r1(X0,X136)
| ~ ( p4(X136)
& ~ p104(X136)
& p103(X136) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X137] :
( ~ r1(X0,X137)
| ~ ( ~ p3(X137)
& ~ p103(X137)
& p102(X137) ) )
& ~ ! [X138] :
( ~ r1(X0,X138)
| ~ ( p3(X138)
& ~ p103(X138)
& p102(X138) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X139] :
( ~ r1(X0,X139)
| ~ ( ~ p2(X139)
& ~ p102(X139)
& p101(X139) ) )
& ~ ! [X140] :
( ~ r1(X0,X140)
| ~ ( p2(X140)
& ~ p102(X140)
& p101(X140) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X141] :
( ~ r1(X0,X141)
| ~ p6(X141)
| ~ p105(X141) )
| p6(X0) )
& ( ! [X142] :
( ~ r1(X0,X142)
| p6(X142)
| ~ p105(X142) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X143] :
( ~ r1(X0,X143)
| ~ p5(X143)
| ~ p104(X143) )
| p5(X0) )
& ( ! [X144] :
( ~ r1(X0,X144)
| p5(X144)
| ~ p104(X144) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X145] :
( ~ r1(X0,X145)
| ~ p4(X145)
| ~ p103(X145) )
| p4(X0) )
& ( ! [X146] :
( ~ r1(X0,X146)
| p4(X146)
| ~ p103(X146) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X147] :
( ~ r1(X0,X147)
| ~ p3(X147)
| ~ p102(X147) )
| p3(X0) )
& ( ! [X148] :
( ~ r1(X0,X148)
| p3(X148)
| ~ p102(X148) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X149] :
( ~ r1(X0,X149)
| ~ p2(X149)
| ~ p101(X149) )
| p2(X0) )
& ( ! [X150] :
( ~ r1(X0,X150)
| p2(X150)
| ~ p101(X150) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X151] :
( ~ r1(X0,X151)
| ~ p1(X151)
| ~ p100(X151) )
| p1(X0) )
& ( ! [X152] :
( ~ r1(X0,X152)
| p1(X152)
| ~ p100(X152) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
| ~ ( ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ~ ! [X11] :
( ~ r1(X10,X11)
| ~ ( ~ p6(X11)
& ~ p106(X11)
& p105(X11) ) )
& ~ ! [X12] :
( ~ r1(X10,X12)
| ~ ( p6(X12)
& ~ p106(X12)
& p105(X12) ) ) )
| ~ ( ~ p105(X10)
& p104(X10) ) )
& ( ( ~ ! [X13] :
( ~ r1(X10,X13)
| ~ ( ~ p5(X13)
& ~ p105(X13)
& p104(X13) ) )
& ~ ! [X14] :
( ~ r1(X10,X14)
| ~ ( p5(X14)
& ~ p105(X14)
& p104(X14) ) ) )
| ~ ( ~ p104(X10)
& p103(X10) ) )
& ( ( ~ ! [X15] :
( ~ r1(X10,X15)
| ~ ( ~ p4(X15)
& ~ p104(X15)
& p103(X15) ) )
& ~ ! [X16] :
( ~ r1(X10,X16)
| ~ ( p4(X16)
& ~ p104(X16)
& p103(X16) ) ) )
| ~ ( ~ p103(X10)
& p102(X10) ) )
& ( ( ~ ! [X17] :
( ~ r1(X10,X17)
| ~ ( ~ p3(X17)
& ~ p103(X17)
& p102(X17) ) )
& ~ ! [X18] :
( ~ r1(X10,X18)
| ~ ( p3(X18)
& ~ p103(X18)
& p102(X18) ) ) )
| ~ ( ~ p102(X10)
& p101(X10) ) )
& ( ( ~ ! [X19] :
( ~ r1(X10,X19)
| ~ ( ~ p2(X19)
& ~ p102(X19)
& p101(X19) ) )
& ~ ! [X20] :
( ~ r1(X10,X20)
| ~ ( p2(X20)
& ~ p102(X20)
& p101(X20) ) ) )
| ~ ( ~ p101(X10)
& p100(X10) ) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p105(X10)
| ~ p106(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ! [X33] :
( ~ r1(X0,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ( ( ( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ ( ~ p6(X37)
& ~ p106(X37)
& p105(X37) ) )
& ~ ! [X38] :
( ~ r1(X36,X38)
| ~ ( p6(X38)
& ~ p106(X38)
& p105(X38) ) ) )
| ~ ( ~ p105(X36)
& p104(X36) ) )
& ( ( ~ ! [X39] :
( ~ r1(X36,X39)
| ~ ( ~ p5(X39)
& ~ p105(X39)
& p104(X39) ) )
& ~ ! [X40] :
( ~ r1(X36,X40)
| ~ ( p5(X40)
& ~ p105(X40)
& p104(X40) ) ) )
| ~ ( ~ p104(X36)
& p103(X36) ) )
& ( ( ~ ! [X41] :
( ~ r1(X36,X41)
| ~ ( ~ p4(X41)
& ~ p104(X41)
& p103(X41) ) )
& ~ ! [X42] :
( ~ r1(X36,X42)
| ~ ( p4(X42)
& ~ p104(X42)
& p103(X42) ) ) )
| ~ ( ~ p103(X36)
& p102(X36) ) )
& ( ( ~ ! [X43] :
( ~ r1(X36,X43)
| ~ ( ~ p3(X43)
& ~ p103(X43)
& p102(X43) ) )
& ~ ! [X44] :
( ~ r1(X36,X44)
| ~ ( p3(X44)
& ~ p103(X44)
& p102(X44) ) ) )
| ~ ( ~ p102(X36)
& p101(X36) ) )
& ( ( ~ ! [X45] :
( ~ r1(X36,X45)
| ~ ( ~ p2(X45)
& ~ p102(X45)
& p101(X45) ) )
& ~ ! [X46] :
( ~ r1(X36,X46)
| ~ ( p2(X46)
& ~ p102(X46)
& p101(X46) ) ) )
| ~ ( ~ p101(X36)
& p100(X36) ) )
& ( ( ( ! [X47] :
( ~ r1(X36,X47)
| ~ p6(X47)
| ~ p105(X47) )
| p6(X36) )
& ( ! [X48] :
( ~ r1(X36,X48)
| p6(X48)
| ~ p105(X48) )
| ~ p6(X36) ) )
| ~ p105(X36) )
& ( ( ( ! [X49] :
( ~ r1(X36,X49)
| ~ p5(X49)
| ~ p104(X49) )
| p5(X36) )
& ( ! [X50] :
( ~ r1(X36,X50)
| p5(X50)
| ~ p104(X50) )
| ~ p5(X36) ) )
| ~ p104(X36) )
& ( ( ( ! [X51] :
( ~ r1(X36,X51)
| ~ p4(X51)
| ~ p103(X51) )
| p4(X36) )
& ( ! [X52] :
( ~ r1(X36,X52)
| p4(X52)
| ~ p103(X52) )
| ~ p4(X36) ) )
| ~ p103(X36) )
& ( ( ( ! [X53] :
( ~ r1(X36,X53)
| ~ p3(X53)
| ~ p102(X53) )
| p3(X36) )
& ( ! [X54] :
( ~ r1(X36,X54)
| p3(X54)
| ~ p102(X54) )
| ~ p3(X36) ) )
| ~ p102(X36) )
& ( ( ( ! [X55] :
( ~ r1(X36,X55)
| ~ p2(X55)
| ~ p101(X55) )
| p2(X36) )
& ( ! [X56] :
( ~ r1(X36,X56)
| p2(X56)
| ~ p101(X56) )
| ~ p2(X36) ) )
| ~ p101(X36) )
& ( ( ( ! [X57] :
( ~ r1(X36,X57)
| ~ p1(X57)
| ~ p100(X57) )
| p1(X36) )
& ( ! [X58] :
( ~ r1(X36,X58)
| p1(X58)
| ~ p100(X58) )
| ~ p1(X36) ) )
| ~ p100(X36) )
& ( p105(X36)
| ~ p106(X36) )
& ( p104(X36)
| ~ p105(X36) )
& ( p103(X36)
| ~ p104(X36) )
& ( p102(X36)
| ~ p103(X36) )
& ( p101(X36)
| ~ p102(X36) )
& ( p100(X36)
| ~ p101(X36) ) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| ( ( ( ~ ! [X62] :
( ~ r1(X61,X62)
| ~ ( ~ p6(X62)
& ~ p106(X62)
& p105(X62) ) )
& ~ ! [X63] :
( ~ r1(X61,X63)
| ~ ( p6(X63)
& ~ p106(X63)
& p105(X63) ) ) )
| ~ ( ~ p105(X61)
& p104(X61) ) )
& ( ( ~ ! [X64] :
( ~ r1(X61,X64)
| ~ ( ~ p5(X64)
& ~ p105(X64)
& p104(X64) ) )
& ~ ! [X65] :
( ~ r1(X61,X65)
| ~ ( p5(X65)
& ~ p105(X65)
& p104(X65) ) ) )
| ~ ( ~ p104(X61)
& p103(X61) ) )
& ( ( ~ ! [X66] :
( ~ r1(X61,X66)
| ~ ( ~ p4(X66)
& ~ p104(X66)
& p103(X66) ) )
& ~ ! [X67] :
( ~ r1(X61,X67)
| ~ ( p4(X67)
& ~ p104(X67)
& p103(X67) ) ) )
| ~ ( ~ p103(X61)
& p102(X61) ) )
& ( ( ~ ! [X68] :
( ~ r1(X61,X68)
| ~ ( ~ p3(X68)
& ~ p103(X68)
& p102(X68) ) )
& ~ ! [X69] :
( ~ r1(X61,X69)
| ~ ( p3(X69)
& ~ p103(X69)
& p102(X69) ) ) )
| ~ ( ~ p102(X61)
& p101(X61) ) )
& ( ( ~ ! [X70] :
( ~ r1(X61,X70)
| ~ ( ~ p2(X70)
& ~ p102(X70)
& p101(X70) ) )
& ~ ! [X71] :
( ~ r1(X61,X71)
| ~ ( p2(X71)
& ~ p102(X71)
& p101(X71) ) ) )
| ~ ( ~ p101(X61)
& p100(X61) ) )
& ( ( ( ! [X72] :
( ~ r1(X61,X72)
| ~ p6(X72)
| ~ p105(X72) )
| p6(X61) )
& ( ! [X73] :
( ~ r1(X61,X73)
| p6(X73)
| ~ p105(X73) )
| ~ p6(X61) ) )
| ~ p105(X61) )
& ( ( ( ! [X74] :
( ~ r1(X61,X74)
| ~ p5(X74)
| ~ p104(X74) )
| p5(X61) )
& ( ! [X75] :
( ~ r1(X61,X75)
| p5(X75)
| ~ p104(X75) )
| ~ p5(X61) ) )
| ~ p104(X61) )
& ( ( ( ! [X76] :
( ~ r1(X61,X76)
| ~ p4(X76)
| ~ p103(X76) )
| p4(X61) )
& ( ! [X77] :
( ~ r1(X61,X77)
| p4(X77)
| ~ p103(X77) )
| ~ p4(X61) ) )
| ~ p103(X61) )
& ( ( ( ! [X78] :
( ~ r1(X61,X78)
| ~ p3(X78)
| ~ p102(X78) )
| p3(X61) )
& ( ! [X79] :
( ~ r1(X61,X79)
| p3(X79)
| ~ p102(X79) )
| ~ p3(X61) ) )
| ~ p102(X61) )
& ( ( ( ! [X80] :
( ~ r1(X61,X80)
| ~ p2(X80)
| ~ p101(X80) )
| p2(X61) )
& ( ! [X81] :
( ~ r1(X61,X81)
| p2(X81)
| ~ p101(X81) )
| ~ p2(X61) ) )
| ~ p101(X61) )
& ( ( ( ! [X82] :
( ~ r1(X61,X82)
| ~ p1(X82)
| ~ p100(X82) )
| p1(X61) )
& ( ! [X83] :
( ~ r1(X61,X83)
| p1(X83)
| ~ p100(X83) )
| ~ p1(X61) ) )
| ~ p100(X61) )
& ( p105(X61)
| ~ p106(X61) )
& ( p104(X61)
| ~ p105(X61) )
& ( p103(X61)
| ~ p104(X61) )
& ( p102(X61)
| ~ p103(X61) )
& ( p101(X61)
| ~ p102(X61) )
& ( p100(X61)
| ~ p101(X61) ) ) ) ) )
& ! [X84] :
( ~ r1(X0,X84)
| ! [X85] :
( ~ r1(X84,X85)
| ( ( ( ~ ! [X86] :
( ~ r1(X85,X86)
| ~ ( ~ p6(X86)
& ~ p106(X86)
& p105(X86) ) )
& ~ ! [X87] :
( ~ r1(X85,X87)
| ~ ( p6(X87)
& ~ p106(X87)
& p105(X87) ) ) )
| ~ ( ~ p105(X85)
& p104(X85) ) )
& ( ( ~ ! [X88] :
( ~ r1(X85,X88)
| ~ ( ~ p5(X88)
& ~ p105(X88)
& p104(X88) ) )
& ~ ! [X89] :
( ~ r1(X85,X89)
| ~ ( p5(X89)
& ~ p105(X89)
& p104(X89) ) ) )
| ~ ( ~ p104(X85)
& p103(X85) ) )
& ( ( ~ ! [X90] :
( ~ r1(X85,X90)
| ~ ( ~ p4(X90)
& ~ p104(X90)
& p103(X90) ) )
& ~ ! [X91] :
( ~ r1(X85,X91)
| ~ ( p4(X91)
& ~ p104(X91)
& p103(X91) ) ) )
| ~ ( ~ p103(X85)
& p102(X85) ) )
& ( ( ~ ! [X92] :
( ~ r1(X85,X92)
| ~ ( ~ p3(X92)
& ~ p103(X92)
& p102(X92) ) )
& ~ ! [X93] :
( ~ r1(X85,X93)
| ~ ( p3(X93)
& ~ p103(X93)
& p102(X93) ) ) )
| ~ ( ~ p102(X85)
& p101(X85) ) )
& ( ( ~ ! [X94] :
( ~ r1(X85,X94)
| ~ ( ~ p2(X94)
& ~ p102(X94)
& p101(X94) ) )
& ~ ! [X95] :
( ~ r1(X85,X95)
| ~ ( p2(X95)
& ~ p102(X95)
& p101(X95) ) ) )
| ~ ( ~ p101(X85)
& p100(X85) ) )
& ( ( ( ! [X96] :
( ~ r1(X85,X96)
| ~ p6(X96)
| ~ p105(X96) )
| p6(X85) )
& ( ! [X97] :
( ~ r1(X85,X97)
| p6(X97)
| ~ p105(X97) )
| ~ p6(X85) ) )
| ~ p105(X85) )
& ( ( ( ! [X98] :
( ~ r1(X85,X98)
| ~ p5(X98)
| ~ p104(X98) )
| p5(X85) )
& ( ! [X99] :
( ~ r1(X85,X99)
| p5(X99)
| ~ p104(X99) )
| ~ p5(X85) ) )
| ~ p104(X85) )
& ( ( ( ! [X100] :
( ~ r1(X85,X100)
| ~ p4(X100)
| ~ p103(X100) )
| p4(X85) )
& ( ! [X101] :
( ~ r1(X85,X101)
| p4(X101)
| ~ p103(X101) )
| ~ p4(X85) ) )
| ~ p103(X85) )
& ( ( ( ! [X102] :
( ~ r1(X85,X102)
| ~ p3(X102)
| ~ p102(X102) )
| p3(X85) )
& ( ! [X103] :
( ~ r1(X85,X103)
| p3(X103)
| ~ p102(X103) )
| ~ p3(X85) ) )
| ~ p102(X85) )
& ( ( ( ! [X104] :
( ~ r1(X85,X104)
| ~ p2(X104)
| ~ p101(X104) )
| p2(X85) )
& ( ! [X105] :
( ~ r1(X85,X105)
| p2(X105)
| ~ p101(X105) )
| ~ p2(X85) ) )
| ~ p101(X85) )
& ( ( ( ! [X106] :
( ~ r1(X85,X106)
| ~ p1(X106)
| ~ p100(X106) )
| p1(X85) )
& ( ! [X107] :
( ~ r1(X85,X107)
| p1(X107)
| ~ p100(X107) )
| ~ p1(X85) ) )
| ~ p100(X85) )
& ( p105(X85)
| ~ p106(X85) )
& ( p104(X85)
| ~ p105(X85) )
& ( p103(X85)
| ~ p104(X85) )
& ( p102(X85)
| ~ p103(X85) )
& ( p101(X85)
| ~ p102(X85) )
& ( p100(X85)
| ~ p101(X85) ) ) ) )
& ! [X108] :
( ~ r1(X0,X108)
| ( ( ( ~ ! [X109] :
( ~ r1(X108,X109)
| ~ ( ~ p6(X109)
& ~ p106(X109)
& p105(X109) ) )
& ~ ! [X110] :
( ~ r1(X108,X110)
| ~ ( p6(X110)
& ~ p106(X110)
& p105(X110) ) ) )
| ~ ( ~ p105(X108)
& p104(X108) ) )
& ( ( ~ ! [X111] :
( ~ r1(X108,X111)
| ~ ( ~ p5(X111)
& ~ p105(X111)
& p104(X111) ) )
& ~ ! [X112] :
( ~ r1(X108,X112)
| ~ ( p5(X112)
& ~ p105(X112)
& p104(X112) ) ) )
| ~ ( ~ p104(X108)
& p103(X108) ) )
& ( ( ~ ! [X113] :
( ~ r1(X108,X113)
| ~ ( ~ p4(X113)
& ~ p104(X113)
& p103(X113) ) )
& ~ ! [X114] :
( ~ r1(X108,X114)
| ~ ( p4(X114)
& ~ p104(X114)
& p103(X114) ) ) )
| ~ ( ~ p103(X108)
& p102(X108) ) )
& ( ( ~ ! [X115] :
( ~ r1(X108,X115)
| ~ ( ~ p3(X115)
& ~ p103(X115)
& p102(X115) ) )
& ~ ! [X116] :
( ~ r1(X108,X116)
| ~ ( p3(X116)
& ~ p103(X116)
& p102(X116) ) ) )
| ~ ( ~ p102(X108)
& p101(X108) ) )
& ( ( ~ ! [X117] :
( ~ r1(X108,X117)
| ~ ( ~ p2(X117)
& ~ p102(X117)
& p101(X117) ) )
& ~ ! [X118] :
( ~ r1(X108,X118)
| ~ ( p2(X118)
& ~ p102(X118)
& p101(X118) ) ) )
| ~ ( ~ p101(X108)
& p100(X108) ) )
& ( ( ( ! [X119] :
( ~ r1(X108,X119)
| ~ p6(X119)
| ~ p105(X119) )
| p6(X108) )
& ( ! [X120] :
( ~ r1(X108,X120)
| p6(X120)
| ~ p105(X120) )
| ~ p6(X108) ) )
| ~ p105(X108) )
& ( ( ( ! [X121] :
( ~ r1(X108,X121)
| ~ p5(X121)
| ~ p104(X121) )
| p5(X108) )
& ( ! [X122] :
( ~ r1(X108,X122)
| p5(X122)
| ~ p104(X122) )
| ~ p5(X108) ) )
| ~ p104(X108) )
& ( ( ( ! [X123] :
( ~ r1(X108,X123)
| ~ p4(X123)
| ~ p103(X123) )
| p4(X108) )
& ( ! [X124] :
( ~ r1(X108,X124)
| p4(X124)
| ~ p103(X124) )
| ~ p4(X108) ) )
| ~ p103(X108) )
& ( ( ( ! [X125] :
( ~ r1(X108,X125)
| ~ p3(X125)
| ~ p102(X125) )
| p3(X108) )
& ( ! [X126] :
( ~ r1(X108,X126)
| p3(X126)
| ~ p102(X126) )
| ~ p3(X108) ) )
| ~ p102(X108) )
& ( ( ( ! [X127] :
( ~ r1(X108,X127)
| ~ p2(X127)
| ~ p101(X127) )
| p2(X108) )
& ( ! [X128] :
( ~ r1(X108,X128)
| p2(X128)
| ~ p101(X128) )
| ~ p2(X108) ) )
| ~ p101(X108) )
& ( ( ( ! [X129] :
( ~ r1(X108,X129)
| ~ p1(X129)
| ~ p100(X129) )
| p1(X108) )
& ( ! [X130] :
( ~ r1(X108,X130)
| p1(X130)
| ~ p100(X130) )
| ~ p1(X108) ) )
| ~ p100(X108) )
& ( p105(X108)
| ~ p106(X108) )
& ( p104(X108)
| ~ p105(X108) )
& ( p103(X108)
| ~ p104(X108) )
& ( p102(X108)
| ~ p103(X108) )
& ( p101(X108)
| ~ p102(X108) )
& ( p100(X108)
| ~ p101(X108) ) ) )
& ( ( ~ ! [X131] :
( ~ r1(X0,X131)
| ~ ( ~ p6(X131)
& ~ p106(X131)
& p105(X131) ) )
& ~ ! [X132] :
( ~ r1(X0,X132)
| ~ ( p6(X132)
& ~ p106(X132)
& p105(X132) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X133] :
( ~ r1(X0,X133)
| ~ ( ~ p5(X133)
& ~ p105(X133)
& p104(X133) ) )
& ~ ! [X134] :
( ~ r1(X0,X134)
| ~ ( p5(X134)
& ~ p105(X134)
& p104(X134) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X135] :
( ~ r1(X0,X135)
| ~ ( ~ p4(X135)
& ~ p104(X135)
& p103(X135) ) )
& ~ ! [X136] :
( ~ r1(X0,X136)
| ~ ( p4(X136)
& ~ p104(X136)
& p103(X136) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X137] :
( ~ r1(X0,X137)
| ~ ( ~ p3(X137)
& ~ p103(X137)
& p102(X137) ) )
& ~ ! [X138] :
( ~ r1(X0,X138)
| ~ ( p3(X138)
& ~ p103(X138)
& p102(X138) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X139] :
( ~ r1(X0,X139)
| ~ ( ~ p2(X139)
& ~ p102(X139)
& p101(X139) ) )
& ~ ! [X140] :
( ~ r1(X0,X140)
| ~ ( p2(X140)
& ~ p102(X140)
& p101(X140) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X141] :
( ~ r1(X0,X141)
| ~ p6(X141)
| ~ p105(X141) )
| p6(X0) )
& ( ! [X142] :
( ~ r1(X0,X142)
| p6(X142)
| ~ p105(X142) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X143] :
( ~ r1(X0,X143)
| ~ p5(X143)
| ~ p104(X143) )
| p5(X0) )
& ( ! [X144] :
( ~ r1(X0,X144)
| p5(X144)
| ~ p104(X144) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X145] :
( ~ r1(X0,X145)
| ~ p4(X145)
| ~ p103(X145) )
| p4(X0) )
& ( ! [X146] :
( ~ r1(X0,X146)
| p4(X146)
| ~ p103(X146) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X147] :
( ~ r1(X0,X147)
| ~ p3(X147)
| ~ p102(X147) )
| p3(X0) )
& ( ! [X148] :
( ~ r1(X0,X148)
| p3(X148)
| ~ p102(X148) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X149] :
( ~ r1(X0,X149)
| ~ p2(X149)
| ~ p101(X149) )
| p2(X0) )
& ( ! [X150] :
( ~ r1(X0,X150)
| p2(X150)
| ~ p101(X150) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X151] :
( ~ r1(X0,X151)
| ~ p1(X151)
| ~ p100(X151) )
| p1(X0) )
& ( ! [X152] :
( ~ r1(X0,X152)
| p1(X152)
| ~ p100(X152) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
| ~ ( ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ~ ! [X11] :
( ~ r1(X10,X11)
| ~ ( ~ p6(X11)
& p105(X11) ) )
& ~ ! [X12] :
( ~ r1(X10,X12)
| ~ ( p6(X12)
& p105(X12) ) ) )
| ~ ( ~ p105(X10)
& p104(X10) ) )
& ( ( ~ ! [X13] :
( ~ r1(X10,X13)
| ~ ( ~ p5(X13)
& ~ p105(X13)
& p104(X13) ) )
& ~ ! [X14] :
( ~ r1(X10,X14)
| ~ ( p5(X14)
& ~ p105(X14)
& p104(X14) ) ) )
| ~ ( ~ p104(X10)
& p103(X10) ) )
& ( ( ~ ! [X15] :
( ~ r1(X10,X15)
| ~ ( ~ p4(X15)
& ~ p104(X15)
& p103(X15) ) )
& ~ ! [X16] :
( ~ r1(X10,X16)
| ~ ( p4(X16)
& ~ p104(X16)
& p103(X16) ) ) )
| ~ ( ~ p103(X10)
& p102(X10) ) )
& ( ( ~ ! [X17] :
( ~ r1(X10,X17)
| ~ ( ~ p3(X17)
& ~ p103(X17)
& p102(X17) ) )
& ~ ! [X18] :
( ~ r1(X10,X18)
| ~ ( p3(X18)
& ~ p103(X18)
& p102(X18) ) ) )
| ~ ( ~ p102(X10)
& p101(X10) ) )
& ( ( ~ ! [X19] :
( ~ r1(X10,X19)
| ~ ( ~ p2(X19)
& ~ p102(X19)
& p101(X19) ) )
& ~ ! [X20] :
( ~ r1(X10,X20)
| ~ ( p2(X20)
& ~ p102(X20)
& p101(X20) ) ) )
| ~ ( ~ p101(X10)
& p100(X10) ) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ! [X33] :
( ~ r1(X0,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ( ( ( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ ( ~ p6(X37)
& p105(X37) ) )
& ~ ! [X38] :
( ~ r1(X36,X38)
| ~ ( p6(X38)
& p105(X38) ) ) )
| ~ ( ~ p105(X36)
& p104(X36) ) )
& ( ( ~ ! [X39] :
( ~ r1(X36,X39)
| ~ ( ~ p5(X39)
& ~ p105(X39)
& p104(X39) ) )
& ~ ! [X40] :
( ~ r1(X36,X40)
| ~ ( p5(X40)
& ~ p105(X40)
& p104(X40) ) ) )
| ~ ( ~ p104(X36)
& p103(X36) ) )
& ( ( ~ ! [X41] :
( ~ r1(X36,X41)
| ~ ( ~ p4(X41)
& ~ p104(X41)
& p103(X41) ) )
& ~ ! [X42] :
( ~ r1(X36,X42)
| ~ ( p4(X42)
& ~ p104(X42)
& p103(X42) ) ) )
| ~ ( ~ p103(X36)
& p102(X36) ) )
& ( ( ~ ! [X43] :
( ~ r1(X36,X43)
| ~ ( ~ p3(X43)
& ~ p103(X43)
& p102(X43) ) )
& ~ ! [X44] :
( ~ r1(X36,X44)
| ~ ( p3(X44)
& ~ p103(X44)
& p102(X44) ) ) )
| ~ ( ~ p102(X36)
& p101(X36) ) )
& ( ( ~ ! [X45] :
( ~ r1(X36,X45)
| ~ ( ~ p2(X45)
& ~ p102(X45)
& p101(X45) ) )
& ~ ! [X46] :
( ~ r1(X36,X46)
| ~ ( p2(X46)
& ~ p102(X46)
& p101(X46) ) ) )
| ~ ( ~ p101(X36)
& p100(X36) ) )
& ( ( ( ! [X47] :
( ~ r1(X36,X47)
| ~ p6(X47)
| ~ p105(X47) )
| p6(X36) )
& ( ! [X48] :
( ~ r1(X36,X48)
| p6(X48)
| ~ p105(X48) )
| ~ p6(X36) ) )
| ~ p105(X36) )
& ( ( ( ! [X49] :
( ~ r1(X36,X49)
| ~ p5(X49)
| ~ p104(X49) )
| p5(X36) )
& ( ! [X50] :
( ~ r1(X36,X50)
| p5(X50)
| ~ p104(X50) )
| ~ p5(X36) ) )
| ~ p104(X36) )
& ( ( ( ! [X51] :
( ~ r1(X36,X51)
| ~ p4(X51)
| ~ p103(X51) )
| p4(X36) )
& ( ! [X52] :
( ~ r1(X36,X52)
| p4(X52)
| ~ p103(X52) )
| ~ p4(X36) ) )
| ~ p103(X36) )
& ( ( ( ! [X53] :
( ~ r1(X36,X53)
| ~ p3(X53)
| ~ p102(X53) )
| p3(X36) )
& ( ! [X54] :
( ~ r1(X36,X54)
| p3(X54)
| ~ p102(X54) )
| ~ p3(X36) ) )
| ~ p102(X36) )
& ( ( ( ! [X55] :
( ~ r1(X36,X55)
| ~ p2(X55)
| ~ p101(X55) )
| p2(X36) )
& ( ! [X56] :
( ~ r1(X36,X56)
| p2(X56)
| ~ p101(X56) )
| ~ p2(X36) ) )
| ~ p101(X36) )
& ( ( ( ! [X57] :
( ~ r1(X36,X57)
| ~ p1(X57)
| ~ p100(X57) )
| p1(X36) )
& ( ! [X58] :
( ~ r1(X36,X58)
| p1(X58)
| ~ p100(X58) )
| ~ p1(X36) ) )
| ~ p100(X36) )
& ( p104(X36)
| ~ p105(X36) )
& ( p103(X36)
| ~ p104(X36) )
& ( p102(X36)
| ~ p103(X36) )
& ( p101(X36)
| ~ p102(X36) )
& ( p100(X36)
| ~ p101(X36) ) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| ( ( ( ~ ! [X62] :
( ~ r1(X61,X62)
| ~ ( ~ p6(X62)
& p105(X62) ) )
& ~ ! [X63] :
( ~ r1(X61,X63)
| ~ ( p6(X63)
& p105(X63) ) ) )
| ~ ( ~ p105(X61)
& p104(X61) ) )
& ( ( ~ ! [X64] :
( ~ r1(X61,X64)
| ~ ( ~ p5(X64)
& ~ p105(X64)
& p104(X64) ) )
& ~ ! [X65] :
( ~ r1(X61,X65)
| ~ ( p5(X65)
& ~ p105(X65)
& p104(X65) ) ) )
| ~ ( ~ p104(X61)
& p103(X61) ) )
& ( ( ~ ! [X66] :
( ~ r1(X61,X66)
| ~ ( ~ p4(X66)
& ~ p104(X66)
& p103(X66) ) )
& ~ ! [X67] :
( ~ r1(X61,X67)
| ~ ( p4(X67)
& ~ p104(X67)
& p103(X67) ) ) )
| ~ ( ~ p103(X61)
& p102(X61) ) )
& ( ( ~ ! [X68] :
( ~ r1(X61,X68)
| ~ ( ~ p3(X68)
& ~ p103(X68)
& p102(X68) ) )
& ~ ! [X69] :
( ~ r1(X61,X69)
| ~ ( p3(X69)
& ~ p103(X69)
& p102(X69) ) ) )
| ~ ( ~ p102(X61)
& p101(X61) ) )
& ( ( ~ ! [X70] :
( ~ r1(X61,X70)
| ~ ( ~ p2(X70)
& ~ p102(X70)
& p101(X70) ) )
& ~ ! [X71] :
( ~ r1(X61,X71)
| ~ ( p2(X71)
& ~ p102(X71)
& p101(X71) ) ) )
| ~ ( ~ p101(X61)
& p100(X61) ) )
& ( ( ( ! [X72] :
( ~ r1(X61,X72)
| ~ p6(X72)
| ~ p105(X72) )
| p6(X61) )
& ( ! [X73] :
( ~ r1(X61,X73)
| p6(X73)
| ~ p105(X73) )
| ~ p6(X61) ) )
| ~ p105(X61) )
& ( ( ( ! [X74] :
( ~ r1(X61,X74)
| ~ p5(X74)
| ~ p104(X74) )
| p5(X61) )
& ( ! [X75] :
( ~ r1(X61,X75)
| p5(X75)
| ~ p104(X75) )
| ~ p5(X61) ) )
| ~ p104(X61) )
& ( ( ( ! [X76] :
( ~ r1(X61,X76)
| ~ p4(X76)
| ~ p103(X76) )
| p4(X61) )
& ( ! [X77] :
( ~ r1(X61,X77)
| p4(X77)
| ~ p103(X77) )
| ~ p4(X61) ) )
| ~ p103(X61) )
& ( ( ( ! [X78] :
( ~ r1(X61,X78)
| ~ p3(X78)
| ~ p102(X78) )
| p3(X61) )
& ( ! [X79] :
( ~ r1(X61,X79)
| p3(X79)
| ~ p102(X79) )
| ~ p3(X61) ) )
| ~ p102(X61) )
& ( ( ( ! [X80] :
( ~ r1(X61,X80)
| ~ p2(X80)
| ~ p101(X80) )
| p2(X61) )
& ( ! [X81] :
( ~ r1(X61,X81)
| p2(X81)
| ~ p101(X81) )
| ~ p2(X61) ) )
| ~ p101(X61) )
& ( ( ( ! [X82] :
( ~ r1(X61,X82)
| ~ p1(X82)
| ~ p100(X82) )
| p1(X61) )
& ( ! [X83] :
( ~ r1(X61,X83)
| p1(X83)
| ~ p100(X83) )
| ~ p1(X61) ) )
| ~ p100(X61) )
& ( p104(X61)
| ~ p105(X61) )
& ( p103(X61)
| ~ p104(X61) )
& ( p102(X61)
| ~ p103(X61) )
& ( p101(X61)
| ~ p102(X61) )
& ( p100(X61)
| ~ p101(X61) ) ) ) ) )
& ! [X84] :
( ~ r1(X0,X84)
| ! [X85] :
( ~ r1(X84,X85)
| ( ( ( ~ ! [X86] :
( ~ r1(X85,X86)
| ~ ( ~ p6(X86)
& p105(X86) ) )
& ~ ! [X87] :
( ~ r1(X85,X87)
| ~ ( p6(X87)
& p105(X87) ) ) )
| ~ ( ~ p105(X85)
& p104(X85) ) )
& ( ( ~ ! [X88] :
( ~ r1(X85,X88)
| ~ ( ~ p5(X88)
& ~ p105(X88)
& p104(X88) ) )
& ~ ! [X89] :
( ~ r1(X85,X89)
| ~ ( p5(X89)
& ~ p105(X89)
& p104(X89) ) ) )
| ~ ( ~ p104(X85)
& p103(X85) ) )
& ( ( ~ ! [X90] :
( ~ r1(X85,X90)
| ~ ( ~ p4(X90)
& ~ p104(X90)
& p103(X90) ) )
& ~ ! [X91] :
( ~ r1(X85,X91)
| ~ ( p4(X91)
& ~ p104(X91)
& p103(X91) ) ) )
| ~ ( ~ p103(X85)
& p102(X85) ) )
& ( ( ~ ! [X92] :
( ~ r1(X85,X92)
| ~ ( ~ p3(X92)
& ~ p103(X92)
& p102(X92) ) )
& ~ ! [X93] :
( ~ r1(X85,X93)
| ~ ( p3(X93)
& ~ p103(X93)
& p102(X93) ) ) )
| ~ ( ~ p102(X85)
& p101(X85) ) )
& ( ( ~ ! [X94] :
( ~ r1(X85,X94)
| ~ ( ~ p2(X94)
& ~ p102(X94)
& p101(X94) ) )
& ~ ! [X95] :
( ~ r1(X85,X95)
| ~ ( p2(X95)
& ~ p102(X95)
& p101(X95) ) ) )
| ~ ( ~ p101(X85)
& p100(X85) ) )
& ( ( ( ! [X96] :
( ~ r1(X85,X96)
| ~ p6(X96)
| ~ p105(X96) )
| p6(X85) )
& ( ! [X97] :
( ~ r1(X85,X97)
| p6(X97)
| ~ p105(X97) )
| ~ p6(X85) ) )
| ~ p105(X85) )
& ( ( ( ! [X98] :
( ~ r1(X85,X98)
| ~ p5(X98)
| ~ p104(X98) )
| p5(X85) )
& ( ! [X99] :
( ~ r1(X85,X99)
| p5(X99)
| ~ p104(X99) )
| ~ p5(X85) ) )
| ~ p104(X85) )
& ( ( ( ! [X100] :
( ~ r1(X85,X100)
| ~ p4(X100)
| ~ p103(X100) )
| p4(X85) )
& ( ! [X101] :
( ~ r1(X85,X101)
| p4(X101)
| ~ p103(X101) )
| ~ p4(X85) ) )
| ~ p103(X85) )
& ( ( ( ! [X102] :
( ~ r1(X85,X102)
| ~ p3(X102)
| ~ p102(X102) )
| p3(X85) )
& ( ! [X103] :
( ~ r1(X85,X103)
| p3(X103)
| ~ p102(X103) )
| ~ p3(X85) ) )
| ~ p102(X85) )
& ( ( ( ! [X104] :
( ~ r1(X85,X104)
| ~ p2(X104)
| ~ p101(X104) )
| p2(X85) )
& ( ! [X105] :
( ~ r1(X85,X105)
| p2(X105)
| ~ p101(X105) )
| ~ p2(X85) ) )
| ~ p101(X85) )
& ( ( ( ! [X106] :
( ~ r1(X85,X106)
| ~ p1(X106)
| ~ p100(X106) )
| p1(X85) )
& ( ! [X107] :
( ~ r1(X85,X107)
| p1(X107)
| ~ p100(X107) )
| ~ p1(X85) ) )
| ~ p100(X85) )
& ( p104(X85)
| ~ p105(X85) )
& ( p103(X85)
| ~ p104(X85) )
& ( p102(X85)
| ~ p103(X85) )
& ( p101(X85)
| ~ p102(X85) )
& ( p100(X85)
| ~ p101(X85) ) ) ) )
& ! [X108] :
( ~ r1(X0,X108)
| ( ( ( ~ ! [X109] :
( ~ r1(X108,X109)
| ~ ( ~ p6(X109)
& p105(X109) ) )
& ~ ! [X110] :
( ~ r1(X108,X110)
| ~ ( p6(X110)
& p105(X110) ) ) )
| ~ ( ~ p105(X108)
& p104(X108) ) )
& ( ( ~ ! [X111] :
( ~ r1(X108,X111)
| ~ ( ~ p5(X111)
& ~ p105(X111)
& p104(X111) ) )
& ~ ! [X112] :
( ~ r1(X108,X112)
| ~ ( p5(X112)
& ~ p105(X112)
& p104(X112) ) ) )
| ~ ( ~ p104(X108)
& p103(X108) ) )
& ( ( ~ ! [X113] :
( ~ r1(X108,X113)
| ~ ( ~ p4(X113)
& ~ p104(X113)
& p103(X113) ) )
& ~ ! [X114] :
( ~ r1(X108,X114)
| ~ ( p4(X114)
& ~ p104(X114)
& p103(X114) ) ) )
| ~ ( ~ p103(X108)
& p102(X108) ) )
& ( ( ~ ! [X115] :
( ~ r1(X108,X115)
| ~ ( ~ p3(X115)
& ~ p103(X115)
& p102(X115) ) )
& ~ ! [X116] :
( ~ r1(X108,X116)
| ~ ( p3(X116)
& ~ p103(X116)
& p102(X116) ) ) )
| ~ ( ~ p102(X108)
& p101(X108) ) )
& ( ( ~ ! [X117] :
( ~ r1(X108,X117)
| ~ ( ~ p2(X117)
& ~ p102(X117)
& p101(X117) ) )
& ~ ! [X118] :
( ~ r1(X108,X118)
| ~ ( p2(X118)
& ~ p102(X118)
& p101(X118) ) ) )
| ~ ( ~ p101(X108)
& p100(X108) ) )
& ( ( ( ! [X119] :
( ~ r1(X108,X119)
| ~ p6(X119)
| ~ p105(X119) )
| p6(X108) )
& ( ! [X120] :
( ~ r1(X108,X120)
| p6(X120)
| ~ p105(X120) )
| ~ p6(X108) ) )
| ~ p105(X108) )
& ( ( ( ! [X121] :
( ~ r1(X108,X121)
| ~ p5(X121)
| ~ p104(X121) )
| p5(X108) )
& ( ! [X122] :
( ~ r1(X108,X122)
| p5(X122)
| ~ p104(X122) )
| ~ p5(X108) ) )
| ~ p104(X108) )
& ( ( ( ! [X123] :
( ~ r1(X108,X123)
| ~ p4(X123)
| ~ p103(X123) )
| p4(X108) )
& ( ! [X124] :
( ~ r1(X108,X124)
| p4(X124)
| ~ p103(X124) )
| ~ p4(X108) ) )
| ~ p103(X108) )
& ( ( ( ! [X125] :
( ~ r1(X108,X125)
| ~ p3(X125)
| ~ p102(X125) )
| p3(X108) )
& ( ! [X126] :
( ~ r1(X108,X126)
| p3(X126)
| ~ p102(X126) )
| ~ p3(X108) ) )
| ~ p102(X108) )
& ( ( ( ! [X127] :
( ~ r1(X108,X127)
| ~ p2(X127)
| ~ p101(X127) )
| p2(X108) )
& ( ! [X128] :
( ~ r1(X108,X128)
| p2(X128)
| ~ p101(X128) )
| ~ p2(X108) ) )
| ~ p101(X108) )
& ( ( ( ! [X129] :
( ~ r1(X108,X129)
| ~ p1(X129)
| ~ p100(X129) )
| p1(X108) )
& ( ! [X130] :
( ~ r1(X108,X130)
| p1(X130)
| ~ p100(X130) )
| ~ p1(X108) ) )
| ~ p100(X108) )
& ( p104(X108)
| ~ p105(X108) )
& ( p103(X108)
| ~ p104(X108) )
& ( p102(X108)
| ~ p103(X108) )
& ( p101(X108)
| ~ p102(X108) )
& ( p100(X108)
| ~ p101(X108) ) ) )
& ( ( ~ ! [X131] :
( ~ r1(X0,X131)
| ~ ( ~ p6(X131)
& p105(X131) ) )
& ~ ! [X132] :
( ~ r1(X0,X132)
| ~ ( p6(X132)
& p105(X132) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X133] :
( ~ r1(X0,X133)
| ~ ( ~ p5(X133)
& ~ p105(X133)
& p104(X133) ) )
& ~ ! [X134] :
( ~ r1(X0,X134)
| ~ ( p5(X134)
& ~ p105(X134)
& p104(X134) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X135] :
( ~ r1(X0,X135)
| ~ ( ~ p4(X135)
& ~ p104(X135)
& p103(X135) ) )
& ~ ! [X136] :
( ~ r1(X0,X136)
| ~ ( p4(X136)
& ~ p104(X136)
& p103(X136) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X137] :
( ~ r1(X0,X137)
| ~ ( ~ p3(X137)
& ~ p103(X137)
& p102(X137) ) )
& ~ ! [X138] :
( ~ r1(X0,X138)
| ~ ( p3(X138)
& ~ p103(X138)
& p102(X138) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X139] :
( ~ r1(X0,X139)
| ~ ( ~ p2(X139)
& ~ p102(X139)
& p101(X139) ) )
& ~ ! [X140] :
( ~ r1(X0,X140)
| ~ ( p2(X140)
& ~ p102(X140)
& p101(X140) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X141] :
( ~ r1(X0,X141)
| ~ p6(X141)
| ~ p105(X141) )
| p6(X0) )
& ( ! [X142] :
( ~ r1(X0,X142)
| p6(X142)
| ~ p105(X142) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X143] :
( ~ r1(X0,X143)
| ~ p5(X143)
| ~ p104(X143) )
| p5(X0) )
& ( ! [X144] :
( ~ r1(X0,X144)
| p5(X144)
| ~ p104(X144) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X145] :
( ~ r1(X0,X145)
| ~ p4(X145)
| ~ p103(X145) )
| p4(X0) )
& ( ! [X146] :
( ~ r1(X0,X146)
| p4(X146)
| ~ p103(X146) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X147] :
( ~ r1(X0,X147)
| ~ p3(X147)
| ~ p102(X147) )
| p3(X0) )
& ( ! [X148] :
( ~ r1(X0,X148)
| p3(X148)
| ~ p102(X148) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X149] :
( ~ r1(X0,X149)
| ~ p2(X149)
| ~ p101(X149) )
| p2(X0) )
& ( ! [X150] :
( ~ r1(X0,X150)
| p2(X150)
| ~ p101(X150) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X151] :
( ~ r1(X0,X151)
| ~ p1(X151)
| ~ p100(X151) )
| p1(X0) )
& ( ! [X152] :
( ~ r1(X0,X152)
| p1(X152)
| ~ p100(X152) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ? [X11] :
( r1(X10,X11)
& ~ p6(X11)
& p105(X11) )
& ? [X12] :
( r1(X10,X12)
& p6(X12)
& p105(X12) ) )
| p105(X10)
| ~ p104(X10) )
& ( ( ? [X13] :
( r1(X10,X13)
& ~ p5(X13)
& ~ p105(X13)
& p104(X13) )
& ? [X14] :
( r1(X10,X14)
& p5(X14)
& ~ p105(X14)
& p104(X14) ) )
| p104(X10)
| ~ p103(X10) )
& ( ( ? [X15] :
( r1(X10,X15)
& ~ p4(X15)
& ~ p104(X15)
& p103(X15) )
& ? [X16] :
( r1(X10,X16)
& p4(X16)
& ~ p104(X16)
& p103(X16) ) )
| p103(X10)
| ~ p102(X10) )
& ( ( ? [X17] :
( r1(X10,X17)
& ~ p3(X17)
& ~ p103(X17)
& p102(X17) )
& ? [X18] :
( r1(X10,X18)
& p3(X18)
& ~ p103(X18)
& p102(X18) ) )
| p102(X10)
| ~ p101(X10) )
& ( ( ? [X19] :
( r1(X10,X19)
& ~ p2(X19)
& ~ p102(X19)
& p101(X19) )
& ? [X20] :
( r1(X10,X20)
& p2(X20)
& ~ p102(X20)
& p101(X20) ) )
| p101(X10)
| ~ p100(X10) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ! [X33] :
( ~ r1(X0,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ( ( ( ? [X37] :
( r1(X36,X37)
& ~ p6(X37)
& p105(X37) )
& ? [X38] :
( r1(X36,X38)
& p6(X38)
& p105(X38) ) )
| p105(X36)
| ~ p104(X36) )
& ( ( ? [X39] :
( r1(X36,X39)
& ~ p5(X39)
& ~ p105(X39)
& p104(X39) )
& ? [X40] :
( r1(X36,X40)
& p5(X40)
& ~ p105(X40)
& p104(X40) ) )
| p104(X36)
| ~ p103(X36) )
& ( ( ? [X41] :
( r1(X36,X41)
& ~ p4(X41)
& ~ p104(X41)
& p103(X41) )
& ? [X42] :
( r1(X36,X42)
& p4(X42)
& ~ p104(X42)
& p103(X42) ) )
| p103(X36)
| ~ p102(X36) )
& ( ( ? [X43] :
( r1(X36,X43)
& ~ p3(X43)
& ~ p103(X43)
& p102(X43) )
& ? [X44] :
( r1(X36,X44)
& p3(X44)
& ~ p103(X44)
& p102(X44) ) )
| p102(X36)
| ~ p101(X36) )
& ( ( ? [X45] :
( r1(X36,X45)
& ~ p2(X45)
& ~ p102(X45)
& p101(X45) )
& ? [X46] :
( r1(X36,X46)
& p2(X46)
& ~ p102(X46)
& p101(X46) ) )
| p101(X36)
| ~ p100(X36) )
& ( ( ( ! [X47] :
( ~ r1(X36,X47)
| ~ p6(X47)
| ~ p105(X47) )
| p6(X36) )
& ( ! [X48] :
( ~ r1(X36,X48)
| p6(X48)
| ~ p105(X48) )
| ~ p6(X36) ) )
| ~ p105(X36) )
& ( ( ( ! [X49] :
( ~ r1(X36,X49)
| ~ p5(X49)
| ~ p104(X49) )
| p5(X36) )
& ( ! [X50] :
( ~ r1(X36,X50)
| p5(X50)
| ~ p104(X50) )
| ~ p5(X36) ) )
| ~ p104(X36) )
& ( ( ( ! [X51] :
( ~ r1(X36,X51)
| ~ p4(X51)
| ~ p103(X51) )
| p4(X36) )
& ( ! [X52] :
( ~ r1(X36,X52)
| p4(X52)
| ~ p103(X52) )
| ~ p4(X36) ) )
| ~ p103(X36) )
& ( ( ( ! [X53] :
( ~ r1(X36,X53)
| ~ p3(X53)
| ~ p102(X53) )
| p3(X36) )
& ( ! [X54] :
( ~ r1(X36,X54)
| p3(X54)
| ~ p102(X54) )
| ~ p3(X36) ) )
| ~ p102(X36) )
& ( ( ( ! [X55] :
( ~ r1(X36,X55)
| ~ p2(X55)
| ~ p101(X55) )
| p2(X36) )
& ( ! [X56] :
( ~ r1(X36,X56)
| p2(X56)
| ~ p101(X56) )
| ~ p2(X36) ) )
| ~ p101(X36) )
& ( ( ( ! [X57] :
( ~ r1(X36,X57)
| ~ p1(X57)
| ~ p100(X57) )
| p1(X36) )
& ( ! [X58] :
( ~ r1(X36,X58)
| p1(X58)
| ~ p100(X58) )
| ~ p1(X36) ) )
| ~ p100(X36) )
& ( p104(X36)
| ~ p105(X36) )
& ( p103(X36)
| ~ p104(X36) )
& ( p102(X36)
| ~ p103(X36) )
& ( p101(X36)
| ~ p102(X36) )
& ( p100(X36)
| ~ p101(X36) ) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| ( ( ( ? [X62] :
( r1(X61,X62)
& ~ p6(X62)
& p105(X62) )
& ? [X63] :
( r1(X61,X63)
& p6(X63)
& p105(X63) ) )
| p105(X61)
| ~ p104(X61) )
& ( ( ? [X64] :
( r1(X61,X64)
& ~ p5(X64)
& ~ p105(X64)
& p104(X64) )
& ? [X65] :
( r1(X61,X65)
& p5(X65)
& ~ p105(X65)
& p104(X65) ) )
| p104(X61)
| ~ p103(X61) )
& ( ( ? [X66] :
( r1(X61,X66)
& ~ p4(X66)
& ~ p104(X66)
& p103(X66) )
& ? [X67] :
( r1(X61,X67)
& p4(X67)
& ~ p104(X67)
& p103(X67) ) )
| p103(X61)
| ~ p102(X61) )
& ( ( ? [X68] :
( r1(X61,X68)
& ~ p3(X68)
& ~ p103(X68)
& p102(X68) )
& ? [X69] :
( r1(X61,X69)
& p3(X69)
& ~ p103(X69)
& p102(X69) ) )
| p102(X61)
| ~ p101(X61) )
& ( ( ? [X70] :
( r1(X61,X70)
& ~ p2(X70)
& ~ p102(X70)
& p101(X70) )
& ? [X71] :
( r1(X61,X71)
& p2(X71)
& ~ p102(X71)
& p101(X71) ) )
| p101(X61)
| ~ p100(X61) )
& ( ( ( ! [X72] :
( ~ r1(X61,X72)
| ~ p6(X72)
| ~ p105(X72) )
| p6(X61) )
& ( ! [X73] :
( ~ r1(X61,X73)
| p6(X73)
| ~ p105(X73) )
| ~ p6(X61) ) )
| ~ p105(X61) )
& ( ( ( ! [X74] :
( ~ r1(X61,X74)
| ~ p5(X74)
| ~ p104(X74) )
| p5(X61) )
& ( ! [X75] :
( ~ r1(X61,X75)
| p5(X75)
| ~ p104(X75) )
| ~ p5(X61) ) )
| ~ p104(X61) )
& ( ( ( ! [X76] :
( ~ r1(X61,X76)
| ~ p4(X76)
| ~ p103(X76) )
| p4(X61) )
& ( ! [X77] :
( ~ r1(X61,X77)
| p4(X77)
| ~ p103(X77) )
| ~ p4(X61) ) )
| ~ p103(X61) )
& ( ( ( ! [X78] :
( ~ r1(X61,X78)
| ~ p3(X78)
| ~ p102(X78) )
| p3(X61) )
& ( ! [X79] :
( ~ r1(X61,X79)
| p3(X79)
| ~ p102(X79) )
| ~ p3(X61) ) )
| ~ p102(X61) )
& ( ( ( ! [X80] :
( ~ r1(X61,X80)
| ~ p2(X80)
| ~ p101(X80) )
| p2(X61) )
& ( ! [X81] :
( ~ r1(X61,X81)
| p2(X81)
| ~ p101(X81) )
| ~ p2(X61) ) )
| ~ p101(X61) )
& ( ( ( ! [X82] :
( ~ r1(X61,X82)
| ~ p1(X82)
| ~ p100(X82) )
| p1(X61) )
& ( ! [X83] :
( ~ r1(X61,X83)
| p1(X83)
| ~ p100(X83) )
| ~ p1(X61) ) )
| ~ p100(X61) )
& ( p104(X61)
| ~ p105(X61) )
& ( p103(X61)
| ~ p104(X61) )
& ( p102(X61)
| ~ p103(X61) )
& ( p101(X61)
| ~ p102(X61) )
& ( p100(X61)
| ~ p101(X61) ) ) ) ) )
& ! [X84] :
( ~ r1(X0,X84)
| ! [X85] :
( ~ r1(X84,X85)
| ( ( ( ? [X86] :
( r1(X85,X86)
& ~ p6(X86)
& p105(X86) )
& ? [X87] :
( r1(X85,X87)
& p6(X87)
& p105(X87) ) )
| p105(X85)
| ~ p104(X85) )
& ( ( ? [X88] :
( r1(X85,X88)
& ~ p5(X88)
& ~ p105(X88)
& p104(X88) )
& ? [X89] :
( r1(X85,X89)
& p5(X89)
& ~ p105(X89)
& p104(X89) ) )
| p104(X85)
| ~ p103(X85) )
& ( ( ? [X90] :
( r1(X85,X90)
& ~ p4(X90)
& ~ p104(X90)
& p103(X90) )
& ? [X91] :
( r1(X85,X91)
& p4(X91)
& ~ p104(X91)
& p103(X91) ) )
| p103(X85)
| ~ p102(X85) )
& ( ( ? [X92] :
( r1(X85,X92)
& ~ p3(X92)
& ~ p103(X92)
& p102(X92) )
& ? [X93] :
( r1(X85,X93)
& p3(X93)
& ~ p103(X93)
& p102(X93) ) )
| p102(X85)
| ~ p101(X85) )
& ( ( ? [X94] :
( r1(X85,X94)
& ~ p2(X94)
& ~ p102(X94)
& p101(X94) )
& ? [X95] :
( r1(X85,X95)
& p2(X95)
& ~ p102(X95)
& p101(X95) ) )
| p101(X85)
| ~ p100(X85) )
& ( ( ( ! [X96] :
( ~ r1(X85,X96)
| ~ p6(X96)
| ~ p105(X96) )
| p6(X85) )
& ( ! [X97] :
( ~ r1(X85,X97)
| p6(X97)
| ~ p105(X97) )
| ~ p6(X85) ) )
| ~ p105(X85) )
& ( ( ( ! [X98] :
( ~ r1(X85,X98)
| ~ p5(X98)
| ~ p104(X98) )
| p5(X85) )
& ( ! [X99] :
( ~ r1(X85,X99)
| p5(X99)
| ~ p104(X99) )
| ~ p5(X85) ) )
| ~ p104(X85) )
& ( ( ( ! [X100] :
( ~ r1(X85,X100)
| ~ p4(X100)
| ~ p103(X100) )
| p4(X85) )
& ( ! [X101] :
( ~ r1(X85,X101)
| p4(X101)
| ~ p103(X101) )
| ~ p4(X85) ) )
| ~ p103(X85) )
& ( ( ( ! [X102] :
( ~ r1(X85,X102)
| ~ p3(X102)
| ~ p102(X102) )
| p3(X85) )
& ( ! [X103] :
( ~ r1(X85,X103)
| p3(X103)
| ~ p102(X103) )
| ~ p3(X85) ) )
| ~ p102(X85) )
& ( ( ( ! [X104] :
( ~ r1(X85,X104)
| ~ p2(X104)
| ~ p101(X104) )
| p2(X85) )
& ( ! [X105] :
( ~ r1(X85,X105)
| p2(X105)
| ~ p101(X105) )
| ~ p2(X85) ) )
| ~ p101(X85) )
& ( ( ( ! [X106] :
( ~ r1(X85,X106)
| ~ p1(X106)
| ~ p100(X106) )
| p1(X85) )
& ( ! [X107] :
( ~ r1(X85,X107)
| p1(X107)
| ~ p100(X107) )
| ~ p1(X85) ) )
| ~ p100(X85) )
& ( p104(X85)
| ~ p105(X85) )
& ( p103(X85)
| ~ p104(X85) )
& ( p102(X85)
| ~ p103(X85) )
& ( p101(X85)
| ~ p102(X85) )
& ( p100(X85)
| ~ p101(X85) ) ) ) )
& ! [X108] :
( ~ r1(X0,X108)
| ( ( ( ? [X109] :
( r1(X108,X109)
& ~ p6(X109)
& p105(X109) )
& ? [X110] :
( r1(X108,X110)
& p6(X110)
& p105(X110) ) )
| p105(X108)
| ~ p104(X108) )
& ( ( ? [X111] :
( r1(X108,X111)
& ~ p5(X111)
& ~ p105(X111)
& p104(X111) )
& ? [X112] :
( r1(X108,X112)
& p5(X112)
& ~ p105(X112)
& p104(X112) ) )
| p104(X108)
| ~ p103(X108) )
& ( ( ? [X113] :
( r1(X108,X113)
& ~ p4(X113)
& ~ p104(X113)
& p103(X113) )
& ? [X114] :
( r1(X108,X114)
& p4(X114)
& ~ p104(X114)
& p103(X114) ) )
| p103(X108)
| ~ p102(X108) )
& ( ( ? [X115] :
( r1(X108,X115)
& ~ p3(X115)
& ~ p103(X115)
& p102(X115) )
& ? [X116] :
( r1(X108,X116)
& p3(X116)
& ~ p103(X116)
& p102(X116) ) )
| p102(X108)
| ~ p101(X108) )
& ( ( ? [X117] :
( r1(X108,X117)
& ~ p2(X117)
& ~ p102(X117)
& p101(X117) )
& ? [X118] :
( r1(X108,X118)
& p2(X118)
& ~ p102(X118)
& p101(X118) ) )
| p101(X108)
| ~ p100(X108) )
& ( ( ( ! [X119] :
( ~ r1(X108,X119)
| ~ p6(X119)
| ~ p105(X119) )
| p6(X108) )
& ( ! [X120] :
( ~ r1(X108,X120)
| p6(X120)
| ~ p105(X120) )
| ~ p6(X108) ) )
| ~ p105(X108) )
& ( ( ( ! [X121] :
( ~ r1(X108,X121)
| ~ p5(X121)
| ~ p104(X121) )
| p5(X108) )
& ( ! [X122] :
( ~ r1(X108,X122)
| p5(X122)
| ~ p104(X122) )
| ~ p5(X108) ) )
| ~ p104(X108) )
& ( ( ( ! [X123] :
( ~ r1(X108,X123)
| ~ p4(X123)
| ~ p103(X123) )
| p4(X108) )
& ( ! [X124] :
( ~ r1(X108,X124)
| p4(X124)
| ~ p103(X124) )
| ~ p4(X108) ) )
| ~ p103(X108) )
& ( ( ( ! [X125] :
( ~ r1(X108,X125)
| ~ p3(X125)
| ~ p102(X125) )
| p3(X108) )
& ( ! [X126] :
( ~ r1(X108,X126)
| p3(X126)
| ~ p102(X126) )
| ~ p3(X108) ) )
| ~ p102(X108) )
& ( ( ( ! [X127] :
( ~ r1(X108,X127)
| ~ p2(X127)
| ~ p101(X127) )
| p2(X108) )
& ( ! [X128] :
( ~ r1(X108,X128)
| p2(X128)
| ~ p101(X128) )
| ~ p2(X108) ) )
| ~ p101(X108) )
& ( ( ( ! [X129] :
( ~ r1(X108,X129)
| ~ p1(X129)
| ~ p100(X129) )
| p1(X108) )
& ( ! [X130] :
( ~ r1(X108,X130)
| p1(X130)
| ~ p100(X130) )
| ~ p1(X108) ) )
| ~ p100(X108) )
& ( p104(X108)
| ~ p105(X108) )
& ( p103(X108)
| ~ p104(X108) )
& ( p102(X108)
| ~ p103(X108) )
& ( p101(X108)
| ~ p102(X108) )
& ( p100(X108)
| ~ p101(X108) ) ) )
& ( ( ? [X131] :
( r1(X0,X131)
& ~ p6(X131)
& p105(X131) )
& ? [X132] :
( r1(X0,X132)
& p6(X132)
& p105(X132) ) )
| p105(X0)
| ~ p104(X0) )
& ( ( ? [X133] :
( r1(X0,X133)
& ~ p5(X133)
& ~ p105(X133)
& p104(X133) )
& ? [X134] :
( r1(X0,X134)
& p5(X134)
& ~ p105(X134)
& p104(X134) ) )
| p104(X0)
| ~ p103(X0) )
& ( ( ? [X135] :
( r1(X0,X135)
& ~ p4(X135)
& ~ p104(X135)
& p103(X135) )
& ? [X136] :
( r1(X0,X136)
& p4(X136)
& ~ p104(X136)
& p103(X136) ) )
| p103(X0)
| ~ p102(X0) )
& ( ( ? [X137] :
( r1(X0,X137)
& ~ p3(X137)
& ~ p103(X137)
& p102(X137) )
& ? [X138] :
( r1(X0,X138)
& p3(X138)
& ~ p103(X138)
& p102(X138) ) )
| p102(X0)
| ~ p101(X0) )
& ( ( ? [X139] :
( r1(X0,X139)
& ~ p2(X139)
& ~ p102(X139)
& p101(X139) )
& ? [X140] :
( r1(X0,X140)
& p2(X140)
& ~ p102(X140)
& p101(X140) ) )
| p101(X0)
| ~ p100(X0) )
& ( ( ( ! [X141] :
( ~ r1(X0,X141)
| ~ p6(X141)
| ~ p105(X141) )
| p6(X0) )
& ( ! [X142] :
( ~ r1(X0,X142)
| p6(X142)
| ~ p105(X142) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X143] :
( ~ r1(X0,X143)
| ~ p5(X143)
| ~ p104(X143) )
| p5(X0) )
& ( ! [X144] :
( ~ r1(X0,X144)
| p5(X144)
| ~ p104(X144) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X145] :
( ~ r1(X0,X145)
| ~ p4(X145)
| ~ p103(X145) )
| p4(X0) )
& ( ! [X146] :
( ~ r1(X0,X146)
| p4(X146)
| ~ p103(X146) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X147] :
( ~ r1(X0,X147)
| ~ p3(X147)
| ~ p102(X147) )
| p3(X0) )
& ( ! [X148] :
( ~ r1(X0,X148)
| p3(X148)
| ~ p102(X148) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X149] :
( ~ r1(X0,X149)
| ~ p2(X149)
| ~ p101(X149) )
| p2(X0) )
& ( ! [X150] :
( ~ r1(X0,X150)
| p2(X150)
| ~ p101(X150) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X151] :
( ~ r1(X0,X151)
| ~ p1(X151)
| ~ p100(X151) )
| p1(X0) )
& ( ! [X152] :
( ~ r1(X0,X152)
| p1(X152)
| ~ p100(X152) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ( ? [X11] :
( r1(X10,X11)
& ~ p6(X11)
& p105(X11) )
& ? [X12] :
( r1(X10,X12)
& p6(X12)
& p105(X12) ) )
| p105(X10)
| ~ p104(X10) )
& ( ( ? [X13] :
( r1(X10,X13)
& ~ p5(X13)
& ~ p105(X13)
& p104(X13) )
& ? [X14] :
( r1(X10,X14)
& p5(X14)
& ~ p105(X14)
& p104(X14) ) )
| p104(X10)
| ~ p103(X10) )
& ( ( ? [X15] :
( r1(X10,X15)
& ~ p4(X15)
& ~ p104(X15)
& p103(X15) )
& ? [X16] :
( r1(X10,X16)
& p4(X16)
& ~ p104(X16)
& p103(X16) ) )
| p103(X10)
| ~ p102(X10) )
& ( ( ? [X17] :
( r1(X10,X17)
& ~ p3(X17)
& ~ p103(X17)
& p102(X17) )
& ? [X18] :
( r1(X10,X18)
& p3(X18)
& ~ p103(X18)
& p102(X18) ) )
| p102(X10)
| ~ p101(X10) )
& ( ( ? [X19] :
( r1(X10,X19)
& ~ p2(X19)
& ~ p102(X19)
& p101(X19) )
& ? [X20] :
( r1(X10,X20)
& p2(X20)
& ~ p102(X20)
& p101(X20) ) )
| p101(X10)
| ~ p100(X10) )
& ( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10) )
& ( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10) )
& ( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10) )
& ( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10) )
& ( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10) )
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) ) ) ) ) ) )
& ! [X33] :
( ~ r1(X0,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ( ( ( ? [X37] :
( r1(X36,X37)
& ~ p6(X37)
& p105(X37) )
& ? [X38] :
( r1(X36,X38)
& p6(X38)
& p105(X38) ) )
| p105(X36)
| ~ p104(X36) )
& ( ( ? [X39] :
( r1(X36,X39)
& ~ p5(X39)
& ~ p105(X39)
& p104(X39) )
& ? [X40] :
( r1(X36,X40)
& p5(X40)
& ~ p105(X40)
& p104(X40) ) )
| p104(X36)
| ~ p103(X36) )
& ( ( ? [X41] :
( r1(X36,X41)
& ~ p4(X41)
& ~ p104(X41)
& p103(X41) )
& ? [X42] :
( r1(X36,X42)
& p4(X42)
& ~ p104(X42)
& p103(X42) ) )
| p103(X36)
| ~ p102(X36) )
& ( ( ? [X43] :
( r1(X36,X43)
& ~ p3(X43)
& ~ p103(X43)
& p102(X43) )
& ? [X44] :
( r1(X36,X44)
& p3(X44)
& ~ p103(X44)
& p102(X44) ) )
| p102(X36)
| ~ p101(X36) )
& ( ( ? [X45] :
( r1(X36,X45)
& ~ p2(X45)
& ~ p102(X45)
& p101(X45) )
& ? [X46] :
( r1(X36,X46)
& p2(X46)
& ~ p102(X46)
& p101(X46) ) )
| p101(X36)
| ~ p100(X36) )
& ( ( ( ! [X47] :
( ~ r1(X36,X47)
| ~ p6(X47)
| ~ p105(X47) )
| p6(X36) )
& ( ! [X48] :
( ~ r1(X36,X48)
| p6(X48)
| ~ p105(X48) )
| ~ p6(X36) ) )
| ~ p105(X36) )
& ( ( ( ! [X49] :
( ~ r1(X36,X49)
| ~ p5(X49)
| ~ p104(X49) )
| p5(X36) )
& ( ! [X50] :
( ~ r1(X36,X50)
| p5(X50)
| ~ p104(X50) )
| ~ p5(X36) ) )
| ~ p104(X36) )
& ( ( ( ! [X51] :
( ~ r1(X36,X51)
| ~ p4(X51)
| ~ p103(X51) )
| p4(X36) )
& ( ! [X52] :
( ~ r1(X36,X52)
| p4(X52)
| ~ p103(X52) )
| ~ p4(X36) ) )
| ~ p103(X36) )
& ( ( ( ! [X53] :
( ~ r1(X36,X53)
| ~ p3(X53)
| ~ p102(X53) )
| p3(X36) )
& ( ! [X54] :
( ~ r1(X36,X54)
| p3(X54)
| ~ p102(X54) )
| ~ p3(X36) ) )
| ~ p102(X36) )
& ( ( ( ! [X55] :
( ~ r1(X36,X55)
| ~ p2(X55)
| ~ p101(X55) )
| p2(X36) )
& ( ! [X56] :
( ~ r1(X36,X56)
| p2(X56)
| ~ p101(X56) )
| ~ p2(X36) ) )
| ~ p101(X36) )
& ( ( ( ! [X57] :
( ~ r1(X36,X57)
| ~ p1(X57)
| ~ p100(X57) )
| p1(X36) )
& ( ! [X58] :
( ~ r1(X36,X58)
| p1(X58)
| ~ p100(X58) )
| ~ p1(X36) ) )
| ~ p100(X36) )
& ( p104(X36)
| ~ p105(X36) )
& ( p103(X36)
| ~ p104(X36) )
& ( p102(X36)
| ~ p103(X36) )
& ( p101(X36)
| ~ p102(X36) )
& ( p100(X36)
| ~ p101(X36) ) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| ( ( ( ? [X62] :
( r1(X61,X62)
& ~ p6(X62)
& p105(X62) )
& ? [X63] :
( r1(X61,X63)
& p6(X63)
& p105(X63) ) )
| p105(X61)
| ~ p104(X61) )
& ( ( ? [X64] :
( r1(X61,X64)
& ~ p5(X64)
& ~ p105(X64)
& p104(X64) )
& ? [X65] :
( r1(X61,X65)
& p5(X65)
& ~ p105(X65)
& p104(X65) ) )
| p104(X61)
| ~ p103(X61) )
& ( ( ? [X66] :
( r1(X61,X66)
& ~ p4(X66)
& ~ p104(X66)
& p103(X66) )
& ? [X67] :
( r1(X61,X67)
& p4(X67)
& ~ p104(X67)
& p103(X67) ) )
| p103(X61)
| ~ p102(X61) )
& ( ( ? [X68] :
( r1(X61,X68)
& ~ p3(X68)
& ~ p103(X68)
& p102(X68) )
& ? [X69] :
( r1(X61,X69)
& p3(X69)
& ~ p103(X69)
& p102(X69) ) )
| p102(X61)
| ~ p101(X61) )
& ( ( ? [X70] :
( r1(X61,X70)
& ~ p2(X70)
& ~ p102(X70)
& p101(X70) )
& ? [X71] :
( r1(X61,X71)
& p2(X71)
& ~ p102(X71)
& p101(X71) ) )
| p101(X61)
| ~ p100(X61) )
& ( ( ( ! [X72] :
( ~ r1(X61,X72)
| ~ p6(X72)
| ~ p105(X72) )
| p6(X61) )
& ( ! [X73] :
( ~ r1(X61,X73)
| p6(X73)
| ~ p105(X73) )
| ~ p6(X61) ) )
| ~ p105(X61) )
& ( ( ( ! [X74] :
( ~ r1(X61,X74)
| ~ p5(X74)
| ~ p104(X74) )
| p5(X61) )
& ( ! [X75] :
( ~ r1(X61,X75)
| p5(X75)
| ~ p104(X75) )
| ~ p5(X61) ) )
| ~ p104(X61) )
& ( ( ( ! [X76] :
( ~ r1(X61,X76)
| ~ p4(X76)
| ~ p103(X76) )
| p4(X61) )
& ( ! [X77] :
( ~ r1(X61,X77)
| p4(X77)
| ~ p103(X77) )
| ~ p4(X61) ) )
| ~ p103(X61) )
& ( ( ( ! [X78] :
( ~ r1(X61,X78)
| ~ p3(X78)
| ~ p102(X78) )
| p3(X61) )
& ( ! [X79] :
( ~ r1(X61,X79)
| p3(X79)
| ~ p102(X79) )
| ~ p3(X61) ) )
| ~ p102(X61) )
& ( ( ( ! [X80] :
( ~ r1(X61,X80)
| ~ p2(X80)
| ~ p101(X80) )
| p2(X61) )
& ( ! [X81] :
( ~ r1(X61,X81)
| p2(X81)
| ~ p101(X81) )
| ~ p2(X61) ) )
| ~ p101(X61) )
& ( ( ( ! [X82] :
( ~ r1(X61,X82)
| ~ p1(X82)
| ~ p100(X82) )
| p1(X61) )
& ( ! [X83] :
( ~ r1(X61,X83)
| p1(X83)
| ~ p100(X83) )
| ~ p1(X61) ) )
| ~ p100(X61) )
& ( p104(X61)
| ~ p105(X61) )
& ( p103(X61)
| ~ p104(X61) )
& ( p102(X61)
| ~ p103(X61) )
& ( p101(X61)
| ~ p102(X61) )
& ( p100(X61)
| ~ p101(X61) ) ) ) ) )
& ! [X84] :
( ~ r1(X0,X84)
| ! [X85] :
( ~ r1(X84,X85)
| ( ( ( ? [X86] :
( r1(X85,X86)
& ~ p6(X86)
& p105(X86) )
& ? [X87] :
( r1(X85,X87)
& p6(X87)
& p105(X87) ) )
| p105(X85)
| ~ p104(X85) )
& ( ( ? [X88] :
( r1(X85,X88)
& ~ p5(X88)
& ~ p105(X88)
& p104(X88) )
& ? [X89] :
( r1(X85,X89)
& p5(X89)
& ~ p105(X89)
& p104(X89) ) )
| p104(X85)
| ~ p103(X85) )
& ( ( ? [X90] :
( r1(X85,X90)
& ~ p4(X90)
& ~ p104(X90)
& p103(X90) )
& ? [X91] :
( r1(X85,X91)
& p4(X91)
& ~ p104(X91)
& p103(X91) ) )
| p103(X85)
| ~ p102(X85) )
& ( ( ? [X92] :
( r1(X85,X92)
& ~ p3(X92)
& ~ p103(X92)
& p102(X92) )
& ? [X93] :
( r1(X85,X93)
& p3(X93)
& ~ p103(X93)
& p102(X93) ) )
| p102(X85)
| ~ p101(X85) )
& ( ( ? [X94] :
( r1(X85,X94)
& ~ p2(X94)
& ~ p102(X94)
& p101(X94) )
& ? [X95] :
( r1(X85,X95)
& p2(X95)
& ~ p102(X95)
& p101(X95) ) )
| p101(X85)
| ~ p100(X85) )
& ( ( ( ! [X96] :
( ~ r1(X85,X96)
| ~ p6(X96)
| ~ p105(X96) )
| p6(X85) )
& ( ! [X97] :
( ~ r1(X85,X97)
| p6(X97)
| ~ p105(X97) )
| ~ p6(X85) ) )
| ~ p105(X85) )
& ( ( ( ! [X98] :
( ~ r1(X85,X98)
| ~ p5(X98)
| ~ p104(X98) )
| p5(X85) )
& ( ! [X99] :
( ~ r1(X85,X99)
| p5(X99)
| ~ p104(X99) )
| ~ p5(X85) ) )
| ~ p104(X85) )
& ( ( ( ! [X100] :
( ~ r1(X85,X100)
| ~ p4(X100)
| ~ p103(X100) )
| p4(X85) )
& ( ! [X101] :
( ~ r1(X85,X101)
| p4(X101)
| ~ p103(X101) )
| ~ p4(X85) ) )
| ~ p103(X85) )
& ( ( ( ! [X102] :
( ~ r1(X85,X102)
| ~ p3(X102)
| ~ p102(X102) )
| p3(X85) )
& ( ! [X103] :
( ~ r1(X85,X103)
| p3(X103)
| ~ p102(X103) )
| ~ p3(X85) ) )
| ~ p102(X85) )
& ( ( ( ! [X104] :
( ~ r1(X85,X104)
| ~ p2(X104)
| ~ p101(X104) )
| p2(X85) )
& ( ! [X105] :
( ~ r1(X85,X105)
| p2(X105)
| ~ p101(X105) )
| ~ p2(X85) ) )
| ~ p101(X85) )
& ( ( ( ! [X106] :
( ~ r1(X85,X106)
| ~ p1(X106)
| ~ p100(X106) )
| p1(X85) )
& ( ! [X107] :
( ~ r1(X85,X107)
| p1(X107)
| ~ p100(X107) )
| ~ p1(X85) ) )
| ~ p100(X85) )
& ( p104(X85)
| ~ p105(X85) )
& ( p103(X85)
| ~ p104(X85) )
& ( p102(X85)
| ~ p103(X85) )
& ( p101(X85)
| ~ p102(X85) )
& ( p100(X85)
| ~ p101(X85) ) ) ) )
& ! [X108] :
( ~ r1(X0,X108)
| ( ( ( ? [X109] :
( r1(X108,X109)
& ~ p6(X109)
& p105(X109) )
& ? [X110] :
( r1(X108,X110)
& p6(X110)
& p105(X110) ) )
| p105(X108)
| ~ p104(X108) )
& ( ( ? [X111] :
( r1(X108,X111)
& ~ p5(X111)
& ~ p105(X111)
& p104(X111) )
& ? [X112] :
( r1(X108,X112)
& p5(X112)
& ~ p105(X112)
& p104(X112) ) )
| p104(X108)
| ~ p103(X108) )
& ( ( ? [X113] :
( r1(X108,X113)
& ~ p4(X113)
& ~ p104(X113)
& p103(X113) )
& ? [X114] :
( r1(X108,X114)
& p4(X114)
& ~ p104(X114)
& p103(X114) ) )
| p103(X108)
| ~ p102(X108) )
& ( ( ? [X115] :
( r1(X108,X115)
& ~ p3(X115)
& ~ p103(X115)
& p102(X115) )
& ? [X116] :
( r1(X108,X116)
& p3(X116)
& ~ p103(X116)
& p102(X116) ) )
| p102(X108)
| ~ p101(X108) )
& ( ( ? [X117] :
( r1(X108,X117)
& ~ p2(X117)
& ~ p102(X117)
& p101(X117) )
& ? [X118] :
( r1(X108,X118)
& p2(X118)
& ~ p102(X118)
& p101(X118) ) )
| p101(X108)
| ~ p100(X108) )
& ( ( ( ! [X119] :
( ~ r1(X108,X119)
| ~ p6(X119)
| ~ p105(X119) )
| p6(X108) )
& ( ! [X120] :
( ~ r1(X108,X120)
| p6(X120)
| ~ p105(X120) )
| ~ p6(X108) ) )
| ~ p105(X108) )
& ( ( ( ! [X121] :
( ~ r1(X108,X121)
| ~ p5(X121)
| ~ p104(X121) )
| p5(X108) )
& ( ! [X122] :
( ~ r1(X108,X122)
| p5(X122)
| ~ p104(X122) )
| ~ p5(X108) ) )
| ~ p104(X108) )
& ( ( ( ! [X123] :
( ~ r1(X108,X123)
| ~ p4(X123)
| ~ p103(X123) )
| p4(X108) )
& ( ! [X124] :
( ~ r1(X108,X124)
| p4(X124)
| ~ p103(X124) )
| ~ p4(X108) ) )
| ~ p103(X108) )
& ( ( ( ! [X125] :
( ~ r1(X108,X125)
| ~ p3(X125)
| ~ p102(X125) )
| p3(X108) )
& ( ! [X126] :
( ~ r1(X108,X126)
| p3(X126)
| ~ p102(X126) )
| ~ p3(X108) ) )
| ~ p102(X108) )
& ( ( ( ! [X127] :
( ~ r1(X108,X127)
| ~ p2(X127)
| ~ p101(X127) )
| p2(X108) )
& ( ! [X128] :
( ~ r1(X108,X128)
| p2(X128)
| ~ p101(X128) )
| ~ p2(X108) ) )
| ~ p101(X108) )
& ( ( ( ! [X129] :
( ~ r1(X108,X129)
| ~ p1(X129)
| ~ p100(X129) )
| p1(X108) )
& ( ! [X130] :
( ~ r1(X108,X130)
| p1(X130)
| ~ p100(X130) )
| ~ p1(X108) ) )
| ~ p100(X108) )
& ( p104(X108)
| ~ p105(X108) )
& ( p103(X108)
| ~ p104(X108) )
& ( p102(X108)
| ~ p103(X108) )
& ( p101(X108)
| ~ p102(X108) )
& ( p100(X108)
| ~ p101(X108) ) ) )
& ( ( ? [X131] :
( r1(X0,X131)
& ~ p6(X131)
& p105(X131) )
& ? [X132] :
( r1(X0,X132)
& p6(X132)
& p105(X132) ) )
| p105(X0)
| ~ p104(X0) )
& ( ( ? [X133] :
( r1(X0,X133)
& ~ p5(X133)
& ~ p105(X133)
& p104(X133) )
& ? [X134] :
( r1(X0,X134)
& p5(X134)
& ~ p105(X134)
& p104(X134) ) )
| p104(X0)
| ~ p103(X0) )
& ( ( ? [X135] :
( r1(X0,X135)
& ~ p4(X135)
& ~ p104(X135)
& p103(X135) )
& ? [X136] :
( r1(X0,X136)
& p4(X136)
& ~ p104(X136)
& p103(X136) ) )
| p103(X0)
| ~ p102(X0) )
& ( ( ? [X137] :
( r1(X0,X137)
& ~ p3(X137)
& ~ p103(X137)
& p102(X137) )
& ? [X138] :
( r1(X0,X138)
& p3(X138)
& ~ p103(X138)
& p102(X138) ) )
| p102(X0)
| ~ p101(X0) )
& ( ( ? [X139] :
( r1(X0,X139)
& ~ p2(X139)
& ~ p102(X139)
& p101(X139) )
& ? [X140] :
( r1(X0,X140)
& p2(X140)
& ~ p102(X140)
& p101(X140) ) )
| p101(X0)
| ~ p100(X0) )
& ( ( ( ! [X141] :
( ~ r1(X0,X141)
| ~ p6(X141)
| ~ p105(X141) )
| p6(X0) )
& ( ! [X142] :
( ~ r1(X0,X142)
| p6(X142)
| ~ p105(X142) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X143] :
( ~ r1(X0,X143)
| ~ p5(X143)
| ~ p104(X143) )
| p5(X0) )
& ( ! [X144] :
( ~ r1(X0,X144)
| p5(X144)
| ~ p104(X144) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X145] :
( ~ r1(X0,X145)
| ~ p4(X145)
| ~ p103(X145) )
| p4(X0) )
& ( ! [X146] :
( ~ r1(X0,X146)
| p4(X146)
| ~ p103(X146) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X147] :
( ~ r1(X0,X147)
| ~ p3(X147)
| ~ p102(X147) )
| p3(X0) )
& ( ! [X148] :
( ~ r1(X0,X148)
| p3(X148)
| ~ p102(X148) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X149] :
( ~ r1(X0,X149)
| ~ p2(X149)
| ~ p101(X149) )
| p2(X0) )
& ( ! [X150] :
( ~ r1(X0,X150)
| p2(X150)
| ~ p101(X150) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X151] :
( ~ r1(X0,X151)
| ~ p1(X151)
| ~ p100(X151) )
| p1(X0) )
& ( ! [X152] :
( ~ r1(X0,X152)
| p1(X152)
| ~ p100(X152) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ),
inference(flattening,[],[f6]) ).
fof(f8,definition,
! [X108] :
( ( ? [X117] :
( r1(X108,X117)
& ~ p2(X117)
& ~ p102(X117)
& p101(X117) )
& ? [X118] :
( r1(X108,X118)
& p2(X118)
& ~ p102(X118)
& p101(X118) ) )
| p101(X108)
| ~ p100(X108)
| ~ sP0(X108) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X108] :
( ( ? [X115] :
( r1(X108,X115)
& ~ p3(X115)
& ~ p103(X115)
& p102(X115) )
& ? [X116] :
( r1(X108,X116)
& p3(X116)
& ~ p103(X116)
& p102(X116) ) )
| p102(X108)
| ~ p101(X108)
| ~ sP1(X108) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X108] :
( ( ? [X113] :
( r1(X108,X113)
& ~ p4(X113)
& ~ p104(X113)
& p103(X113) )
& ? [X114] :
( r1(X108,X114)
& p4(X114)
& ~ p104(X114)
& p103(X114) ) )
| p103(X108)
| ~ p102(X108)
| ~ sP2(X108) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X108] :
( ( ? [X111] :
( r1(X108,X111)
& ~ p5(X111)
& ~ p105(X111)
& p104(X111) )
& ? [X112] :
( r1(X108,X112)
& p5(X112)
& ~ p105(X112)
& p104(X112) ) )
| p104(X108)
| ~ p103(X108)
| ~ sP3(X108) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X108] :
( ( ? [X109] :
( r1(X108,X109)
& ~ p6(X109)
& p105(X109) )
& ? [X110] :
( r1(X108,X110)
& p6(X110)
& p105(X110) ) )
| p105(X108)
| ~ p104(X108)
| ~ sP4(X108) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X108] :
( ( ( ! [X129] :
( ~ r1(X108,X129)
| ~ p1(X129)
| ~ p100(X129) )
| p1(X108) )
& ( ! [X130] :
( ~ r1(X108,X130)
| p1(X130)
| ~ p100(X130) )
| ~ p1(X108) ) )
| ~ p100(X108)
| ~ sP5(X108) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X108] :
( ( ( ! [X127] :
( ~ r1(X108,X127)
| ~ p2(X127)
| ~ p101(X127) )
| p2(X108) )
& ( ! [X128] :
( ~ r1(X108,X128)
| p2(X128)
| ~ p101(X128) )
| ~ p2(X108) ) )
| ~ p101(X108)
| ~ sP6(X108) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X108] :
( ( ( ! [X125] :
( ~ r1(X108,X125)
| ~ p3(X125)
| ~ p102(X125) )
| p3(X108) )
& ( ! [X126] :
( ~ r1(X108,X126)
| p3(X126)
| ~ p102(X126) )
| ~ p3(X108) ) )
| ~ p102(X108)
| ~ sP7(X108) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X108] :
( ( ( ! [X123] :
( ~ r1(X108,X123)
| ~ p4(X123)
| ~ p103(X123) )
| p4(X108) )
& ( ! [X124] :
( ~ r1(X108,X124)
| p4(X124)
| ~ p103(X124) )
| ~ p4(X108) ) )
| ~ p103(X108)
| ~ sP8(X108) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X108] :
( ( ( ! [X121] :
( ~ r1(X108,X121)
| ~ p5(X121)
| ~ p104(X121) )
| p5(X108) )
& ( ! [X122] :
( ~ r1(X108,X122)
| p5(X122)
| ~ p104(X122) )
| ~ p5(X108) ) )
| ~ p104(X108)
| ~ sP9(X108) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X108] :
( ( ( ! [X119] :
( ~ r1(X108,X119)
| ~ p6(X119)
| ~ p105(X119) )
| p6(X108) )
& ( ! [X120] :
( ~ r1(X108,X120)
| p6(X120)
| ~ p105(X120) )
| ~ p6(X108) ) )
| ~ p105(X108)
| ~ sP10(X108) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X108] :
( ( sP4(X108)
& sP3(X108)
& sP2(X108)
& sP1(X108)
& sP0(X108)
& sP10(X108)
& sP9(X108)
& sP8(X108)
& sP7(X108)
& sP6(X108)
& sP5(X108)
& ( p104(X108)
| ~ p105(X108) )
& ( p103(X108)
| ~ p104(X108) )
& ( p102(X108)
| ~ p103(X108) )
& ( p101(X108)
| ~ p102(X108) )
& ( p100(X108)
| ~ p101(X108) ) )
| ~ sP11(X108) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X85] :
( ( ? [X94] :
( r1(X85,X94)
& ~ p2(X94)
& ~ p102(X94)
& p101(X94) )
& ? [X95] :
( r1(X85,X95)
& p2(X95)
& ~ p102(X95)
& p101(X95) ) )
| p101(X85)
| ~ p100(X85)
| ~ sP12(X85) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X85] :
( ( ? [X92] :
( r1(X85,X92)
& ~ p3(X92)
& ~ p103(X92)
& p102(X92) )
& ? [X93] :
( r1(X85,X93)
& p3(X93)
& ~ p103(X93)
& p102(X93) ) )
| p102(X85)
| ~ p101(X85)
| ~ sP13(X85) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X85] :
( ( ? [X90] :
( r1(X85,X90)
& ~ p4(X90)
& ~ p104(X90)
& p103(X90) )
& ? [X91] :
( r1(X85,X91)
& p4(X91)
& ~ p104(X91)
& p103(X91) ) )
| p103(X85)
| ~ p102(X85)
| ~ sP14(X85) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X85] :
( ( ? [X88] :
( r1(X85,X88)
& ~ p5(X88)
& ~ p105(X88)
& p104(X88) )
& ? [X89] :
( r1(X85,X89)
& p5(X89)
& ~ p105(X89)
& p104(X89) ) )
| p104(X85)
| ~ p103(X85)
| ~ sP15(X85) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X85] :
( ( ? [X86] :
( r1(X85,X86)
& ~ p6(X86)
& p105(X86) )
& ? [X87] :
( r1(X85,X87)
& p6(X87)
& p105(X87) ) )
| p105(X85)
| ~ p104(X85)
| ~ sP16(X85) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X85] :
( ( ( ! [X106] :
( ~ r1(X85,X106)
| ~ p1(X106)
| ~ p100(X106) )
| p1(X85) )
& ( ! [X107] :
( ~ r1(X85,X107)
| p1(X107)
| ~ p100(X107) )
| ~ p1(X85) ) )
| ~ p100(X85)
| ~ sP17(X85) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X85] :
( ( ( ! [X104] :
( ~ r1(X85,X104)
| ~ p2(X104)
| ~ p101(X104) )
| p2(X85) )
& ( ! [X105] :
( ~ r1(X85,X105)
| p2(X105)
| ~ p101(X105) )
| ~ p2(X85) ) )
| ~ p101(X85)
| ~ sP18(X85) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X85] :
( ( ( ! [X102] :
( ~ r1(X85,X102)
| ~ p3(X102)
| ~ p102(X102) )
| p3(X85) )
& ( ! [X103] :
( ~ r1(X85,X103)
| p3(X103)
| ~ p102(X103) )
| ~ p3(X85) ) )
| ~ p102(X85)
| ~ sP19(X85) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X85] :
( ( ( ! [X100] :
( ~ r1(X85,X100)
| ~ p4(X100)
| ~ p103(X100) )
| p4(X85) )
& ( ! [X101] :
( ~ r1(X85,X101)
| p4(X101)
| ~ p103(X101) )
| ~ p4(X85) ) )
| ~ p103(X85)
| ~ sP20(X85) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X85] :
( ( ( ! [X98] :
( ~ r1(X85,X98)
| ~ p5(X98)
| ~ p104(X98) )
| p5(X85) )
& ( ! [X99] :
( ~ r1(X85,X99)
| p5(X99)
| ~ p104(X99) )
| ~ p5(X85) ) )
| ~ p104(X85)
| ~ sP21(X85) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X85] :
( ( ( ! [X96] :
( ~ r1(X85,X96)
| ~ p6(X96)
| ~ p105(X96) )
| p6(X85) )
& ( ! [X97] :
( ~ r1(X85,X97)
| p6(X97)
| ~ p105(X97) )
| ~ p6(X85) ) )
| ~ p105(X85)
| ~ sP22(X85) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X85] :
( ( sP16(X85)
& sP15(X85)
& sP14(X85)
& sP13(X85)
& sP12(X85)
& sP22(X85)
& sP21(X85)
& sP20(X85)
& sP19(X85)
& sP18(X85)
& sP17(X85)
& ( p104(X85)
| ~ p105(X85) )
& ( p103(X85)
| ~ p104(X85) )
& ( p102(X85)
| ~ p103(X85) )
& ( p101(X85)
| ~ p102(X85) )
& ( p100(X85)
| ~ p101(X85) ) )
| ~ sP23(X85) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f32,definition,
! [X61] :
( ( ? [X70] :
( r1(X61,X70)
& ~ p2(X70)
& ~ p102(X70)
& p101(X70) )
& ? [X71] :
( r1(X61,X71)
& p2(X71)
& ~ p102(X71)
& p101(X71) ) )
| p101(X61)
| ~ p100(X61)
| ~ sP24(X61) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f33,definition,
! [X61] :
( ( ? [X68] :
( r1(X61,X68)
& ~ p3(X68)
& ~ p103(X68)
& p102(X68) )
& ? [X69] :
( r1(X61,X69)
& p3(X69)
& ~ p103(X69)
& p102(X69) ) )
| p102(X61)
| ~ p101(X61)
| ~ sP25(X61) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f34,definition,
! [X61] :
( ( ? [X66] :
( r1(X61,X66)
& ~ p4(X66)
& ~ p104(X66)
& p103(X66) )
& ? [X67] :
( r1(X61,X67)
& p4(X67)
& ~ p104(X67)
& p103(X67) ) )
| p103(X61)
| ~ p102(X61)
| ~ sP26(X61) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f35,definition,
! [X61] :
( ( ? [X64] :
( r1(X61,X64)
& ~ p5(X64)
& ~ p105(X64)
& p104(X64) )
& ? [X65] :
( r1(X61,X65)
& p5(X65)
& ~ p105(X65)
& p104(X65) ) )
| p104(X61)
| ~ p103(X61)
| ~ sP27(X61) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f36,definition,
! [X61] :
( ( ? [X62] :
( r1(X61,X62)
& ~ p6(X62)
& p105(X62) )
& ? [X63] :
( r1(X61,X63)
& p6(X63)
& p105(X63) ) )
| p105(X61)
| ~ p104(X61)
| ~ sP28(X61) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f37,definition,
! [X61] :
( ( ( ! [X82] :
( ~ r1(X61,X82)
| ~ p1(X82)
| ~ p100(X82) )
| p1(X61) )
& ( ! [X83] :
( ~ r1(X61,X83)
| p1(X83)
| ~ p100(X83) )
| ~ p1(X61) ) )
| ~ p100(X61)
| ~ sP29(X61) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f38,definition,
! [X61] :
( ( ( ! [X80] :
( ~ r1(X61,X80)
| ~ p2(X80)
| ~ p101(X80) )
| p2(X61) )
& ( ! [X81] :
( ~ r1(X61,X81)
| p2(X81)
| ~ p101(X81) )
| ~ p2(X61) ) )
| ~ p101(X61)
| ~ sP30(X61) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f39,definition,
! [X61] :
( ( ( ! [X78] :
( ~ r1(X61,X78)
| ~ p3(X78)
| ~ p102(X78) )
| p3(X61) )
& ( ! [X79] :
( ~ r1(X61,X79)
| p3(X79)
| ~ p102(X79) )
| ~ p3(X61) ) )
| ~ p102(X61)
| ~ sP31(X61) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f40,definition,
! [X61] :
( ( ( ! [X76] :
( ~ r1(X61,X76)
| ~ p4(X76)
| ~ p103(X76) )
| p4(X61) )
& ( ! [X77] :
( ~ r1(X61,X77)
| p4(X77)
| ~ p103(X77) )
| ~ p4(X61) ) )
| ~ p103(X61)
| ~ sP32(X61) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f41,definition,
! [X61] :
( ( ( ! [X74] :
( ~ r1(X61,X74)
| ~ p5(X74)
| ~ p104(X74) )
| p5(X61) )
& ( ! [X75] :
( ~ r1(X61,X75)
| p5(X75)
| ~ p104(X75) )
| ~ p5(X61) ) )
| ~ p104(X61)
| ~ sP33(X61) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f42,definition,
! [X61] :
( ( ( ! [X72] :
( ~ r1(X61,X72)
| ~ p6(X72)
| ~ p105(X72) )
| p6(X61) )
& ( ! [X73] :
( ~ r1(X61,X73)
| p6(X73)
| ~ p105(X73) )
| ~ p6(X61) ) )
| ~ p105(X61)
| ~ sP34(X61) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f43,definition,
! [X61] :
( ( sP28(X61)
& sP27(X61)
& sP26(X61)
& sP25(X61)
& sP24(X61)
& sP34(X61)
& sP33(X61)
& sP32(X61)
& sP31(X61)
& sP30(X61)
& sP29(X61)
& ( p104(X61)
| ~ p105(X61) )
& ( p103(X61)
| ~ p104(X61) )
& ( p102(X61)
| ~ p103(X61) )
& ( p101(X61)
| ~ p102(X61) )
& ( p100(X61)
| ~ p101(X61) ) )
| ~ sP35(X61) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f44,definition,
! [X36] :
( ( ? [X45] :
( r1(X36,X45)
& ~ p2(X45)
& ~ p102(X45)
& p101(X45) )
& ? [X46] :
( r1(X36,X46)
& p2(X46)
& ~ p102(X46)
& p101(X46) ) )
| p101(X36)
| ~ p100(X36)
| ~ sP36(X36) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f45,definition,
! [X36] :
( ( ? [X43] :
( r1(X36,X43)
& ~ p3(X43)
& ~ p103(X43)
& p102(X43) )
& ? [X44] :
( r1(X36,X44)
& p3(X44)
& ~ p103(X44)
& p102(X44) ) )
| p102(X36)
| ~ p101(X36)
| ~ sP37(X36) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f46,definition,
! [X36] :
( ( ? [X41] :
( r1(X36,X41)
& ~ p4(X41)
& ~ p104(X41)
& p103(X41) )
& ? [X42] :
( r1(X36,X42)
& p4(X42)
& ~ p104(X42)
& p103(X42) ) )
| p103(X36)
| ~ p102(X36)
| ~ sP38(X36) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f47,definition,
! [X36] :
( ( ? [X39] :
( r1(X36,X39)
& ~ p5(X39)
& ~ p105(X39)
& p104(X39) )
& ? [X40] :
( r1(X36,X40)
& p5(X40)
& ~ p105(X40)
& p104(X40) ) )
| p104(X36)
| ~ p103(X36)
| ~ sP39(X36) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f48,definition,
! [X36] :
( ( ? [X37] :
( r1(X36,X37)
& ~ p6(X37)
& p105(X37) )
& ? [X38] :
( r1(X36,X38)
& p6(X38)
& p105(X38) ) )
| p105(X36)
| ~ p104(X36)
| ~ sP40(X36) ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f49,definition,
! [X36] :
( ( ( ! [X57] :
( ~ r1(X36,X57)
| ~ p1(X57)
| ~ p100(X57) )
| p1(X36) )
& ( ! [X58] :
( ~ r1(X36,X58)
| p1(X58)
| ~ p100(X58) )
| ~ p1(X36) ) )
| ~ p100(X36)
| ~ sP41(X36) ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f50,definition,
! [X36] :
( ( ( ! [X55] :
( ~ r1(X36,X55)
| ~ p2(X55)
| ~ p101(X55) )
| p2(X36) )
& ( ! [X56] :
( ~ r1(X36,X56)
| p2(X56)
| ~ p101(X56) )
| ~ p2(X36) ) )
| ~ p101(X36)
| ~ sP42(X36) ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f51,definition,
! [X36] :
( ( ( ! [X53] :
( ~ r1(X36,X53)
| ~ p3(X53)
| ~ p102(X53) )
| p3(X36) )
& ( ! [X54] :
( ~ r1(X36,X54)
| p3(X54)
| ~ p102(X54) )
| ~ p3(X36) ) )
| ~ p102(X36)
| ~ sP43(X36) ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f52,definition,
! [X36] :
( ( ( ! [X51] :
( ~ r1(X36,X51)
| ~ p4(X51)
| ~ p103(X51) )
| p4(X36) )
& ( ! [X52] :
( ~ r1(X36,X52)
| p4(X52)
| ~ p103(X52) )
| ~ p4(X36) ) )
| ~ p103(X36)
| ~ sP44(X36) ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f53,definition,
! [X36] :
( ( ( ! [X49] :
( ~ r1(X36,X49)
| ~ p5(X49)
| ~ p104(X49) )
| p5(X36) )
& ( ! [X50] :
( ~ r1(X36,X50)
| p5(X50)
| ~ p104(X50) )
| ~ p5(X36) ) )
| ~ p104(X36)
| ~ sP45(X36) ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f54,definition,
! [X36] :
( ( ( ! [X47] :
( ~ r1(X36,X47)
| ~ p6(X47)
| ~ p105(X47) )
| p6(X36) )
& ( ! [X48] :
( ~ r1(X36,X48)
| p6(X48)
| ~ p105(X48) )
| ~ p6(X36) ) )
| ~ p105(X36)
| ~ sP46(X36) ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f55,definition,
! [X36] :
( ( sP40(X36)
& sP39(X36)
& sP38(X36)
& sP37(X36)
& sP36(X36)
& sP46(X36)
& sP45(X36)
& sP44(X36)
& sP43(X36)
& sP42(X36)
& sP41(X36)
& ( p104(X36)
| ~ p105(X36) )
& ( p103(X36)
| ~ p104(X36) )
& ( p102(X36)
| ~ p103(X36) )
& ( p101(X36)
| ~ p102(X36) )
& ( p100(X36)
| ~ p101(X36) ) )
| ~ sP47(X36) ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f56,definition,
! [X10] :
( ( ? [X19] :
( r1(X10,X19)
& ~ p2(X19)
& ~ p102(X19)
& p101(X19) )
& ? [X20] :
( r1(X10,X20)
& p2(X20)
& ~ p102(X20)
& p101(X20) ) )
| p101(X10)
| ~ p100(X10)
| ~ sP48(X10) ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f57,definition,
! [X10] :
( ( ? [X17] :
( r1(X10,X17)
& ~ p3(X17)
& ~ p103(X17)
& p102(X17) )
& ? [X18] :
( r1(X10,X18)
& p3(X18)
& ~ p103(X18)
& p102(X18) ) )
| p102(X10)
| ~ p101(X10)
| ~ sP49(X10) ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f58,definition,
! [X10] :
( ( ? [X15] :
( r1(X10,X15)
& ~ p4(X15)
& ~ p104(X15)
& p103(X15) )
& ? [X16] :
( r1(X10,X16)
& p4(X16)
& ~ p104(X16)
& p103(X16) ) )
| p103(X10)
| ~ p102(X10)
| ~ sP50(X10) ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f59,definition,
! [X10] :
( ( ? [X13] :
( r1(X10,X13)
& ~ p5(X13)
& ~ p105(X13)
& p104(X13) )
& ? [X14] :
( r1(X10,X14)
& p5(X14)
& ~ p105(X14)
& p104(X14) ) )
| p104(X10)
| ~ p103(X10)
| ~ sP51(X10) ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f60,definition,
! [X10] :
( ( ? [X11] :
( r1(X10,X11)
& ~ p6(X11)
& p105(X11) )
& ? [X12] :
( r1(X10,X12)
& p6(X12)
& p105(X12) ) )
| p105(X10)
| ~ p104(X10)
| ~ sP52(X10) ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f61,definition,
! [X10] :
( ( ( ! [X31] :
( ~ r1(X10,X31)
| ~ p1(X31)
| ~ p100(X31) )
| p1(X10) )
& ( ! [X32] :
( ~ r1(X10,X32)
| p1(X32)
| ~ p100(X32) )
| ~ p1(X10) ) )
| ~ p100(X10)
| ~ sP53(X10) ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f62,definition,
! [X10] :
( ( ( ! [X29] :
( ~ r1(X10,X29)
| ~ p2(X29)
| ~ p101(X29) )
| p2(X10) )
& ( ! [X30] :
( ~ r1(X10,X30)
| p2(X30)
| ~ p101(X30) )
| ~ p2(X10) ) )
| ~ p101(X10)
| ~ sP54(X10) ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f63,definition,
! [X10] :
( ( ( ! [X27] :
( ~ r1(X10,X27)
| ~ p3(X27)
| ~ p102(X27) )
| p3(X10) )
& ( ! [X28] :
( ~ r1(X10,X28)
| p3(X28)
| ~ p102(X28) )
| ~ p3(X10) ) )
| ~ p102(X10)
| ~ sP55(X10) ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f64,definition,
! [X10] :
( ( ( ! [X25] :
( ~ r1(X10,X25)
| ~ p4(X25)
| ~ p103(X25) )
| p4(X10) )
& ( ! [X26] :
( ~ r1(X10,X26)
| p4(X26)
| ~ p103(X26) )
| ~ p4(X10) ) )
| ~ p103(X10)
| ~ sP56(X10) ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f65,definition,
! [X10] :
( ( ( ! [X23] :
( ~ r1(X10,X23)
| ~ p5(X23)
| ~ p104(X23) )
| p5(X10) )
& ( ! [X24] :
( ~ r1(X10,X24)
| p5(X24)
| ~ p104(X24) )
| ~ p5(X10) ) )
| ~ p104(X10)
| ~ sP57(X10) ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f66,definition,
! [X10] :
( ( ( ! [X21] :
( ~ r1(X10,X21)
| ~ p6(X21)
| ~ p105(X21) )
| p6(X10) )
& ( ! [X22] :
( ~ r1(X10,X22)
| p6(X22)
| ~ p105(X22) )
| ~ p6(X10) ) )
| ~ p105(X10)
| ~ sP58(X10) ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f67,definition,
! [X10] :
( ( sP52(X10)
& sP51(X10)
& sP50(X10)
& sP49(X10)
& sP48(X10)
& sP58(X10)
& sP57(X10)
& sP56(X10)
& sP55(X10)
& sP54(X10)
& sP53(X10)
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) )
| ~ sP59(X10) ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f68,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| sP59(X10) ) ) ) ) )
& ! [X33] :
( ~ r1(X0,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| sP47(X36) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| sP35(X61) ) ) )
& ! [X84] :
( ~ r1(X0,X84)
| ! [X85] :
( ~ r1(X84,X85)
| sP23(X85) ) )
& ! [X108] :
( ~ r1(X0,X108)
| sP11(X108) )
& ( ( ? [X131] :
( r1(X0,X131)
& ~ p6(X131)
& p105(X131) )
& ? [X132] :
( r1(X0,X132)
& p6(X132)
& p105(X132) ) )
| p105(X0)
| ~ p104(X0) )
& ( ( ? [X133] :
( r1(X0,X133)
& ~ p5(X133)
& ~ p105(X133)
& p104(X133) )
& ? [X134] :
( r1(X0,X134)
& p5(X134)
& ~ p105(X134)
& p104(X134) ) )
| p104(X0)
| ~ p103(X0) )
& ( ( ? [X135] :
( r1(X0,X135)
& ~ p4(X135)
& ~ p104(X135)
& p103(X135) )
& ? [X136] :
( r1(X0,X136)
& p4(X136)
& ~ p104(X136)
& p103(X136) ) )
| p103(X0)
| ~ p102(X0) )
& ( ( ? [X137] :
( r1(X0,X137)
& ~ p3(X137)
& ~ p103(X137)
& p102(X137) )
& ? [X138] :
( r1(X0,X138)
& p3(X138)
& ~ p103(X138)
& p102(X138) ) )
| p102(X0)
| ~ p101(X0) )
& ( ( ? [X139] :
( r1(X0,X139)
& ~ p2(X139)
& ~ p102(X139)
& p101(X139) )
& ? [X140] :
( r1(X0,X140)
& p2(X140)
& ~ p102(X140)
& p101(X140) ) )
| p101(X0)
| ~ p100(X0) )
& ( ( ( ! [X141] :
( ~ r1(X0,X141)
| ~ p6(X141)
| ~ p105(X141) )
| p6(X0) )
& ( ! [X142] :
( ~ r1(X0,X142)
| p6(X142)
| ~ p105(X142) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X143] :
( ~ r1(X0,X143)
| ~ p5(X143)
| ~ p104(X143) )
| p5(X0) )
& ( ! [X144] :
( ~ r1(X0,X144)
| p5(X144)
| ~ p104(X144) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X145] :
( ~ r1(X0,X145)
| ~ p4(X145)
| ~ p103(X145) )
| p4(X0) )
& ( ! [X146] :
( ~ r1(X0,X146)
| p4(X146)
| ~ p103(X146) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X147] :
( ~ r1(X0,X147)
| ~ p3(X147)
| ~ p102(X147) )
| p3(X0) )
& ( ! [X148] :
( ~ r1(X0,X148)
| p3(X148)
| ~ p102(X148) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X149] :
( ~ r1(X0,X149)
| ~ p2(X149)
| ~ p101(X149) )
| p2(X0) )
& ( ! [X150] :
( ~ r1(X0,X150)
| p2(X150)
| ~ p101(X150) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X151] :
( ~ r1(X0,X151)
| ~ p1(X151)
| ~ p100(X151) )
| p1(X0) )
& ( ! [X152] :
( ~ r1(X0,X152)
| p1(X152)
| ~ p100(X152) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ),
inference(definition_folding,[],[f7,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f69,plain,
! [X10] :
( ( sP52(X10)
& sP51(X10)
& sP50(X10)
& sP49(X10)
& sP48(X10)
& sP58(X10)
& sP57(X10)
& sP56(X10)
& sP55(X10)
& sP54(X10)
& sP53(X10)
& ( p104(X10)
| ~ p105(X10) )
& ( p103(X10)
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( p100(X10)
| ~ p101(X10) ) )
| ~ sP59(X10) ),
inference(nnf_transformation,[],[f67]) ).
fof(f70,plain,
! [X0] :
( ( sP52(X0)
& sP51(X0)
& sP50(X0)
& sP49(X0)
& sP48(X0)
& sP58(X0)
& sP57(X0)
& sP56(X0)
& sP55(X0)
& sP54(X0)
& sP53(X0)
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) )
| ~ sP59(X0) ),
inference(rectify,[],[f69]) ).
fof(f98,plain,
! [X36] :
( ( sP40(X36)
& sP39(X36)
& sP38(X36)
& sP37(X36)
& sP36(X36)
& sP46(X36)
& sP45(X36)
& sP44(X36)
& sP43(X36)
& sP42(X36)
& sP41(X36)
& ( p104(X36)
| ~ p105(X36) )
& ( p103(X36)
| ~ p104(X36) )
& ( p102(X36)
| ~ p103(X36) )
& ( p101(X36)
| ~ p102(X36) )
& ( p100(X36)
| ~ p101(X36) ) )
| ~ sP47(X36) ),
inference(nnf_transformation,[],[f55]) ).
fof(f99,plain,
! [X0] :
( ( sP40(X0)
& sP39(X0)
& sP38(X0)
& sP37(X0)
& sP36(X0)
& sP46(X0)
& sP45(X0)
& sP44(X0)
& sP43(X0)
& sP42(X0)
& sP41(X0)
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) )
| ~ sP47(X0) ),
inference(rectify,[],[f98]) ).
fof(f106,plain,
! [X36] :
( ( ( ! [X53] :
( ~ r1(X36,X53)
| ~ p3(X53)
| ~ p102(X53) )
| p3(X36) )
& ( ! [X54] :
( ~ r1(X36,X54)
| p3(X54)
| ~ p102(X54) )
| ~ p3(X36) ) )
| ~ p102(X36)
| ~ sP43(X36) ),
inference(nnf_transformation,[],[f51]) ).
fof(f107,plain,
! [X0] :
( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X0) ) )
| ~ p102(X0)
| ~ sP43(X0) ),
inference(rectify,[],[f106]) ).
fof(f112,plain,
! [X36] :
( ( ? [X37] :
( r1(X36,X37)
& ~ p6(X37)
& p105(X37) )
& ? [X38] :
( r1(X36,X38)
& p6(X38)
& p105(X38) ) )
| p105(X36)
| ~ p104(X36)
| ~ sP40(X36) ),
inference(nnf_transformation,[],[f48]) ).
fof(f113,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p6(X1)
& p105(X1) )
& ? [X2] :
( r1(X0,X2)
& p6(X2)
& p105(X2) ) )
| p105(X0)
| ~ p104(X0)
| ~ sP40(X0) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( r1(X0,sK70(X0))
& ~ p6(sK70(X0))
& p105(sK70(X0))
& r1(X0,sK71(X0))
& p6(sK71(X0))
& p105(sK71(X0)) )
| p105(X0)
| ~ p104(X0)
| ~ sP40(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71]),skolemize(X1,sK70(X0)),skolemize(X2,sK71(X0))],[f113]) ).
fof(f127,plain,
! [X61] :
( ( sP28(X61)
& sP27(X61)
& sP26(X61)
& sP25(X61)
& sP24(X61)
& sP34(X61)
& sP33(X61)
& sP32(X61)
& sP31(X61)
& sP30(X61)
& sP29(X61)
& ( p104(X61)
| ~ p105(X61) )
& ( p103(X61)
| ~ p104(X61) )
& ( p102(X61)
| ~ p103(X61) )
& ( p101(X61)
| ~ p102(X61) )
& ( p100(X61)
| ~ p101(X61) ) )
| ~ sP35(X61) ),
inference(nnf_transformation,[],[f43]) ).
fof(f128,plain,
! [X0] :
( ( sP28(X0)
& sP27(X0)
& sP26(X0)
& sP25(X0)
& sP24(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0)
& sP31(X0)
& sP30(X0)
& sP29(X0)
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) )
| ~ sP35(X0) ),
inference(rectify,[],[f127]) ).
fof(f135,plain,
! [X61] :
( ( ( ! [X78] :
( ~ r1(X61,X78)
| ~ p3(X78)
| ~ p102(X78) )
| p3(X61) )
& ( ! [X79] :
( ~ r1(X61,X79)
| p3(X79)
| ~ p102(X79) )
| ~ p3(X61) ) )
| ~ p102(X61)
| ~ sP31(X61) ),
inference(nnf_transformation,[],[f39]) ).
fof(f136,plain,
! [X0] :
( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X0) ) )
| ~ p102(X0)
| ~ sP31(X0) ),
inference(rectify,[],[f135]) ).
fof(f144,plain,
! [X61] :
( ( ? [X64] :
( r1(X61,X64)
& ~ p5(X64)
& ~ p105(X64)
& p104(X64) )
& ? [X65] :
( r1(X61,X65)
& p5(X65)
& ~ p105(X65)
& p104(X65) ) )
| p104(X61)
| ~ p103(X61)
| ~ sP27(X61) ),
inference(nnf_transformation,[],[f35]) ).
fof(f145,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p5(X1)
& ~ p105(X1)
& p104(X1) )
& ? [X2] :
( r1(X0,X2)
& p5(X2)
& ~ p105(X2)
& p104(X2) ) )
| p104(X0)
| ~ p103(X0)
| ~ sP27(X0) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ( r1(X0,sK82(X0))
& ~ p5(sK82(X0))
& ~ p105(sK82(X0))
& p104(sK82(X0))
& r1(X0,sK83(X0))
& p5(sK83(X0))
& ~ p105(sK83(X0))
& p104(sK83(X0)) )
| p104(X0)
| ~ p103(X0)
| ~ sP27(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83]),skolemize(X1,sK82(X0)),skolemize(X2,sK83(X0))],[f145]) ).
fof(f156,plain,
! [X85] :
( ( sP16(X85)
& sP15(X85)
& sP14(X85)
& sP13(X85)
& sP12(X85)
& sP22(X85)
& sP21(X85)
& sP20(X85)
& sP19(X85)
& sP18(X85)
& sP17(X85)
& ( p104(X85)
| ~ p105(X85) )
& ( p103(X85)
| ~ p104(X85) )
& ( p102(X85)
| ~ p103(X85) )
& ( p101(X85)
| ~ p102(X85) )
& ( p100(X85)
| ~ p101(X85) ) )
| ~ sP23(X85) ),
inference(nnf_transformation,[],[f31]) ).
fof(f157,plain,
! [X0] :
( ( sP16(X0)
& sP15(X0)
& sP14(X0)
& sP13(X0)
& sP12(X0)
& sP22(X0)
& sP21(X0)
& sP20(X0)
& sP19(X0)
& sP18(X0)
& sP17(X0)
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) )
| ~ sP23(X0) ),
inference(rectify,[],[f156]) ).
fof(f164,plain,
! [X85] :
( ( ( ! [X102] :
( ~ r1(X85,X102)
| ~ p3(X102)
| ~ p102(X102) )
| p3(X85) )
& ( ! [X103] :
( ~ r1(X85,X103)
| p3(X103)
| ~ p102(X103) )
| ~ p3(X85) ) )
| ~ p102(X85)
| ~ sP19(X85) ),
inference(nnf_transformation,[],[f27]) ).
fof(f165,plain,
! [X0] :
( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X0) ) )
| ~ p102(X0)
| ~ sP19(X0) ),
inference(rectify,[],[f164]) ).
fof(f176,plain,
! [X85] :
( ( ? [X90] :
( r1(X85,X90)
& ~ p4(X90)
& ~ p104(X90)
& p103(X90) )
& ? [X91] :
( r1(X85,X91)
& p4(X91)
& ~ p104(X91)
& p103(X91) ) )
| p103(X85)
| ~ p102(X85)
| ~ sP14(X85) ),
inference(nnf_transformation,[],[f22]) ).
fof(f177,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p4(X1)
& ~ p104(X1)
& p103(X1) )
& ? [X2] :
( r1(X0,X2)
& p4(X2)
& ~ p104(X2)
& p103(X2) ) )
| p103(X0)
| ~ p102(X0)
| ~ sP14(X0) ),
inference(rectify,[],[f176]) ).
fof(f178,plain,
! [X0] :
( ( r1(X0,sK94(X0))
& ~ p4(sK94(X0))
& ~ p104(sK94(X0))
& p103(sK94(X0))
& r1(X0,sK95(X0))
& p4(sK95(X0))
& ~ p104(sK95(X0))
& p103(sK95(X0)) )
| p103(X0)
| ~ p102(X0)
| ~ sP14(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94,sK95]),skolemize(X1,sK94(X0)),skolemize(X2,sK95(X0))],[f177]) ).
fof(f185,plain,
! [X108] :
( ( sP4(X108)
& sP3(X108)
& sP2(X108)
& sP1(X108)
& sP0(X108)
& sP10(X108)
& sP9(X108)
& sP8(X108)
& sP7(X108)
& sP6(X108)
& sP5(X108)
& ( p104(X108)
| ~ p105(X108) )
& ( p103(X108)
| ~ p104(X108) )
& ( p102(X108)
| ~ p103(X108) )
& ( p101(X108)
| ~ p102(X108) )
& ( p100(X108)
| ~ p101(X108) ) )
| ~ sP11(X108) ),
inference(nnf_transformation,[],[f19]) ).
fof(f186,plain,
! [X0] :
( ( sP4(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP10(X0)
& sP9(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) )
| ~ sP11(X0) ),
inference(rectify,[],[f185]) ).
fof(f208,plain,
! [X108] :
( ( ? [X115] :
( r1(X108,X115)
& ~ p3(X115)
& ~ p103(X115)
& p102(X115) )
& ? [X116] :
( r1(X108,X116)
& p3(X116)
& ~ p103(X116)
& p102(X116) ) )
| p102(X108)
| ~ p101(X108)
| ~ sP1(X108) ),
inference(nnf_transformation,[],[f9]) ).
fof(f209,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p3(X1)
& ~ p103(X1)
& p102(X1) )
& ? [X2] :
( r1(X0,X2)
& p3(X2)
& ~ p103(X2)
& p102(X2) ) )
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(rectify,[],[f208]) ).
fof(f210,plain,
! [X0] :
( ( r1(X0,sK106(X0))
& ~ p3(sK106(X0))
& ~ p103(sK106(X0))
& p102(sK106(X0))
& r1(X0,sK107(X0))
& p3(sK107(X0))
& ~ p103(sK107(X0))
& p102(sK107(X0)) )
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK106,sK107]),skolemize(X1,sK106(X0)),skolemize(X2,sK107(X0))],[f209]) ).
fof(f214,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| sP59(X10) ) ) ) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| sP47(X14) ) ) ) )
& ! [X15] :
( ~ r1(X0,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| sP35(X17) ) ) )
& ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ~ r1(X18,X19)
| sP23(X19) ) )
& ! [X20] :
( ~ r1(X0,X20)
| sP11(X20) )
& ( ( ? [X21] :
( r1(X0,X21)
& ~ p6(X21)
& p105(X21) )
& ? [X22] :
( r1(X0,X22)
& p6(X22)
& p105(X22) ) )
| p105(X0)
| ~ p104(X0) )
& ( ( ? [X23] :
( r1(X0,X23)
& ~ p5(X23)
& ~ p105(X23)
& p104(X23) )
& ? [X24] :
( r1(X0,X24)
& p5(X24)
& ~ p105(X24)
& p104(X24) ) )
| p104(X0)
| ~ p103(X0) )
& ( ( ? [X25] :
( r1(X0,X25)
& ~ p4(X25)
& ~ p104(X25)
& p103(X25) )
& ? [X26] :
( r1(X0,X26)
& p4(X26)
& ~ p104(X26)
& p103(X26) ) )
| p103(X0)
| ~ p102(X0) )
& ( ( ? [X27] :
( r1(X0,X27)
& ~ p3(X27)
& ~ p103(X27)
& p102(X27) )
& ? [X28] :
( r1(X0,X28)
& p3(X28)
& ~ p103(X28)
& p102(X28) ) )
| p102(X0)
| ~ p101(X0) )
& ( ( ? [X29] :
( r1(X0,X29)
& ~ p2(X29)
& ~ p102(X29)
& p101(X29) )
& ? [X30] :
( r1(X0,X30)
& p2(X30)
& ~ p102(X30)
& p101(X30) ) )
| p101(X0)
| ~ p100(X0) )
& ( ( ( ! [X31] :
( ~ r1(X0,X31)
| ~ p6(X31)
| ~ p105(X31) )
| p6(X0) )
& ( ! [X32] :
( ~ r1(X0,X32)
| p6(X32)
| ~ p105(X32) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X33] :
( ~ r1(X0,X33)
| ~ p5(X33)
| ~ p104(X33) )
| p5(X0) )
& ( ! [X34] :
( ~ r1(X0,X34)
| p5(X34)
| ~ p104(X34) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X35] :
( ~ r1(X0,X35)
| ~ p4(X35)
| ~ p103(X35) )
| p4(X0) )
& ( ! [X36] :
( ~ r1(X0,X36)
| p4(X36)
| ~ p103(X36) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X37] :
( ~ r1(X0,X37)
| ~ p3(X37)
| ~ p102(X37) )
| p3(X0) )
& ( ! [X38] :
( ~ r1(X0,X38)
| p3(X38)
| ~ p102(X38) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X39] :
( ~ r1(X0,X39)
| ~ p2(X39)
| ~ p101(X39) )
| p2(X0) )
& ( ! [X40] :
( ~ r1(X0,X40)
| p2(X40)
| ~ p101(X40) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X41] :
( ~ r1(X0,X41)
| ~ p1(X41)
| ~ p100(X41) )
| p1(X0) )
& ( ! [X42] :
( ~ r1(X0,X42)
| p1(X42)
| ~ p100(X42) )
| ~ p1(X0) ) )
| ~ p100(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) )
& ~ p101(X0)
& p100(X0) ),
inference(rectify,[],[f68]) ).
fof(f215,plain,
( ! [X1] :
( ~ r1(sK110,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) ) ) ) ) )
& ! [X6] :
( ~ r1(sK110,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| sP59(X10) ) ) ) ) )
& ! [X11] :
( ~ r1(sK110,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| sP47(X14) ) ) ) )
& ! [X15] :
( ~ r1(sK110,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| sP35(X17) ) ) )
& ! [X18] :
( ~ r1(sK110,X18)
| ! [X19] :
( ~ r1(X18,X19)
| sP23(X19) ) )
& ! [X20] :
( ~ r1(sK110,X20)
| sP11(X20) )
& ( ( r1(sK110,sK111)
& ~ p6(sK111)
& p105(sK111)
& r1(sK110,sK112)
& p6(sK112)
& p105(sK112) )
| p105(sK110)
| ~ p104(sK110) )
& ( ( r1(sK110,sK113)
& ~ p5(sK113)
& ~ p105(sK113)
& p104(sK113)
& r1(sK110,sK114)
& p5(sK114)
& ~ p105(sK114)
& p104(sK114) )
| p104(sK110)
| ~ p103(sK110) )
& ( ( r1(sK110,sK115)
& ~ p4(sK115)
& ~ p104(sK115)
& p103(sK115)
& r1(sK110,sK116)
& p4(sK116)
& ~ p104(sK116)
& p103(sK116) )
| p103(sK110)
| ~ p102(sK110) )
& ( ( r1(sK110,sK117)
& ~ p3(sK117)
& ~ p103(sK117)
& p102(sK117)
& r1(sK110,sK118)
& p3(sK118)
& ~ p103(sK118)
& p102(sK118) )
| p102(sK110)
| ~ p101(sK110) )
& ( ( r1(sK110,sK119)
& ~ p2(sK119)
& ~ p102(sK119)
& p101(sK119)
& r1(sK110,sK120)
& p2(sK120)
& ~ p102(sK120)
& p101(sK120) )
| p101(sK110)
| ~ p100(sK110) )
& ( ( ( ! [X31] :
( ~ r1(sK110,X31)
| ~ p6(X31)
| ~ p105(X31) )
| p6(sK110) )
& ( ! [X32] :
( ~ r1(sK110,X32)
| p6(X32)
| ~ p105(X32) )
| ~ p6(sK110) ) )
| ~ p105(sK110) )
& ( ( ( ! [X33] :
( ~ r1(sK110,X33)
| ~ p5(X33)
| ~ p104(X33) )
| p5(sK110) )
& ( ! [X34] :
( ~ r1(sK110,X34)
| p5(X34)
| ~ p104(X34) )
| ~ p5(sK110) ) )
| ~ p104(sK110) )
& ( ( ( ! [X35] :
( ~ r1(sK110,X35)
| ~ p4(X35)
| ~ p103(X35) )
| p4(sK110) )
& ( ! [X36] :
( ~ r1(sK110,X36)
| p4(X36)
| ~ p103(X36) )
| ~ p4(sK110) ) )
| ~ p103(sK110) )
& ( ( ( ! [X37] :
( ~ r1(sK110,X37)
| ~ p3(X37)
| ~ p102(X37) )
| p3(sK110) )
& ( ! [X38] :
( ~ r1(sK110,X38)
| p3(X38)
| ~ p102(X38) )
| ~ p3(sK110) ) )
| ~ p102(sK110) )
& ( ( ( ! [X39] :
( ~ r1(sK110,X39)
| ~ p2(X39)
| ~ p101(X39) )
| p2(sK110) )
& ( ! [X40] :
( ~ r1(sK110,X40)
| p2(X40)
| ~ p101(X40) )
| ~ p2(sK110) ) )
| ~ p101(sK110) )
& ( ( ( ! [X41] :
( ~ r1(sK110,X41)
| ~ p1(X41)
| ~ p100(X41) )
| p1(sK110) )
& ( ! [X42] :
( ~ r1(sK110,X42)
| p1(X42)
| ~ p100(X42) )
| ~ p1(sK110) ) )
| ~ p100(sK110) )
& ( p104(sK110)
| ~ p105(sK110) )
& ( p103(sK110)
| ~ p104(sK110) )
& ( p102(sK110)
| ~ p103(sK110) )
& ( p101(sK110)
| ~ p102(sK110) )
& ( p100(sK110)
| ~ p101(sK110) )
& ~ p101(sK110)
& p100(sK110) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110,sK111,sK112,sK113,sK114,sK115,sK116,sK117,sK118,sK119,sK120]),skolemize(X0,sK110),skolemize(X21,sK111),skolemize(X22,sK112),skolemize(X23,sK113),skolemize(X24,sK114),skolemize(X25,sK115),skolemize(X26,sK116),skolemize(X27,sK117),skolemize(X28,sK118),skolemize(X29,sK119),skolemize(X30,sK120)],[f214]) ).
fof(f218,plain,
! [X0] :
( ~ sP59(X0)
| ~ p103(X0)
| p102(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f219,plain,
! [X0] :
( ~ sP59(X0)
| ~ p104(X0)
| p103(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f220,plain,
! [X0] :
( ~ sP59(X0)
| ~ p105(X0)
| p104(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f284,plain,
! [X0] :
( ~ sP47(X0)
| ~ p103(X0)
| p102(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f285,plain,
! [X0] :
( ~ sP47(X0)
| ~ p104(X0)
| p103(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f289,plain,
! [X0] :
( ~ sP47(X0)
| sP43(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f297,plain,
! [X0] :
( ~ sP47(X0)
| sP40(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f305,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1)
| p3(X0)
| ~ p102(X0)
| ~ sP43(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f310,plain,
! [X0] :
( ~ sP40(X0)
| p105(X0)
| ~ p104(X0)
| p105(sK71(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f312,plain,
! [X0] :
( r1(X0,sK71(X0))
| p105(X0)
| ~ p104(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f350,plain,
! [X0] :
( ~ sP35(X0)
| ~ p103(X0)
| p102(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f355,plain,
! [X0] :
( ~ sP35(X0)
| sP31(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f362,plain,
! [X0] :
( ~ sP35(X0)
| sP27(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f371,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1)
| p3(X0)
| ~ p102(X0)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f382,plain,
! [X0] :
( ~ sP27(X0)
| p104(X0)
| ~ p103(X0)
| p104(sK83(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f383,plain,
! [X0] :
( ~ p105(sK83(X0))
| p104(X0)
| ~ p103(X0)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f385,plain,
! [X0] :
( r1(X0,sK83(X0))
| p104(X0)
| ~ p103(X0)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f421,plain,
! [X0] :
( ~ sP23(X0)
| sP19(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f427,plain,
! [X0] :
( ~ sP23(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f437,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1)
| p3(X0)
| ~ p102(X0)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f456,plain,
! [X0] :
( ~ sP14(X0)
| p103(X0)
| ~ p102(X0)
| p103(sK95(X0)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f457,plain,
! [X0] :
( ~ p104(sK95(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f459,plain,
! [X0] :
( r1(X0,sK95(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f492,plain,
! [X0] :
( ~ sP11(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f534,plain,
! [X0] :
( ~ sP1(X0)
| p102(X0)
| ~ p101(X0)
| p102(sK106(X0)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f535,plain,
! [X0] :
( ~ p103(sK106(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f536,plain,
! [X0] :
( ~ p3(sK106(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f537,plain,
! [X0] :
( ~ sP1(X0)
| p102(X0)
| ~ p101(X0)
| r1(X0,sK106(X0)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f546,plain,
p100(sK110),
inference(cnf_transformation,[],[f215]) ).
fof(f547,plain,
~ p101(sK110),
inference(cnf_transformation,[],[f215]) ).
fof(f569,plain,
( p101(sK119)
| p101(sK110)
| ~ p100(sK110) ),
inference(cnf_transformation,[],[f215]) ).
fof(f570,plain,
( ~ p102(sK119)
| p101(sK110)
| ~ p100(sK110) ),
inference(cnf_transformation,[],[f215]) ).
fof(f572,plain,
( r1(sK110,sK119)
| p101(sK110)
| ~ p100(sK110) ),
inference(cnf_transformation,[],[f215]) ).
fof(f603,plain,
! [X20] :
( ~ r1(sK110,X20)
| sP11(X20) ),
inference(cnf_transformation,[],[f215]) ).
fof(f604,plain,
! [X18,X19] :
( ~ r1(sK110,X18)
| ~ r1(X18,X19)
| sP23(X19) ),
inference(cnf_transformation,[],[f215]) ).
fof(f605,plain,
! [X16,X17,X15] :
( ~ r1(sK110,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| sP35(X17) ),
inference(cnf_transformation,[],[f215]) ).
fof(f606,plain,
! [X11,X14,X12,X13] :
( ~ r1(sK110,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| sP47(X14) ),
inference(cnf_transformation,[],[f215]) ).
fof(f607,plain,
! [X10,X8,X6,X9,X7] :
( ~ r1(sK110,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| sP59(X10) ),
inference(cnf_transformation,[],[f215]) ).
fof(f608,plain,
! [X2,X3,X1,X4,X5] :
( ~ r1(sK110,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| p3(X5) ),
inference(cnf_transformation,[],[f215]) ).
fof(f683,plain,
( p101(sK119)
| ~ p100(sK110) ),
inference(forward_subsumption_resolution,[],[f569,f547]) ).
fof(f684,plain,
( ~ p102(sK119)
| ~ p100(sK110) ),
inference(forward_subsumption_resolution,[],[f570,f547]) ).
fof(f686,plain,
( r1(sK110,sK119)
| ~ p100(sK110) ),
inference(forward_subsumption_resolution,[],[f572,f547]) ).
fof(f814,plain,
p101(sK119),
inference(forward_subsumption_resolution,[],[f683,f546]) ).
fof(f815,plain,
~ p102(sK119),
inference(forward_subsumption_resolution,[],[f684,f546]) ).
fof(f817,plain,
r1(sK110,sK119),
inference(forward_subsumption_resolution,[],[f686,f546]) ).
fof(f819,plain,
sP11(sK119),
inference(resolution,[],[f603,f817]) ).
fof(f841,plain,
! [X0] :
( ~ r1(sK119,X0)
| sP23(X0) ),
inference(resolution,[],[f604,f817]) ).
fof(f843,plain,
! [X0,X1] :
( ~ r1(sK119,X0)
| ~ r1(X0,X1)
| sP35(X1) ),
inference(resolution,[],[f605,f817]) ).
fof(f845,plain,
! [X2,X0,X1] :
( ~ r1(sK119,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP47(X2) ),
inference(resolution,[],[f606,f817]) ).
fof(f847,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK119,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| sP59(X3) ),
inference(resolution,[],[f607,f817]) ).
fof(f849,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK119,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p3(X3) ),
inference(resolution,[],[f608,f817]) ).
fof(f865,plain,
sP1(sK119),
inference(resolution,[],[f492,f819]) ).
fof(f931,plain,
( p102(sK119)
| ~ p101(sK119)
| p102(sK106(sK119)) ),
inference(resolution,[],[f534,f865]) ).
fof(f932,plain,
( ~ p101(sK119)
| p102(sK106(sK119)) ),
inference(forward_subsumption_resolution,[],[f931,f815]) ).
fof(f934,plain,
p102(sK106(sK119)),
inference(forward_subsumption_resolution,[],[f932,f814]) ).
fof(f1459,plain,
( p102(sK119)
| ~ p101(sK119)
| r1(sK119,sK106(sK119)) ),
inference(resolution,[],[f537,f865]) ).
fof(f1460,plain,
( ~ p101(sK119)
| r1(sK119,sK106(sK119)) ),
inference(forward_subsumption_resolution,[],[f1459,f815]) ).
fof(f1462,plain,
r1(sK119,sK106(sK119)),
inference(forward_subsumption_resolution,[],[f1460,f814]) ).
fof(f2384,plain,
! [X0] :
( ~ p102(sK71(X0))
| ~ p3(sK71(X0))
| p3(X0)
| ~ p102(X0)
| ~ sP43(X0)
| p105(X0)
| ~ p104(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f305,f312]) ).
fof(f2927,plain,
! [X0] :
( ~ p102(sK83(X0))
| ~ p3(sK83(X0))
| p3(X0)
| ~ p102(X0)
| ~ sP31(X0)
| p104(X0)
| ~ p103(X0)
| ~ sP27(X0) ),
inference(resolution,[],[f371,f385]) ).
fof(f3459,plain,
! [X0] :
( ~ p3(sK95(X0))
| ~ p102(sK95(X0))
| p3(X0)
| ~ p102(X0)
| ~ sP19(X0)
| p103(X0)
| ~ p102(X0)
| ~ sP14(X0) ),
inference(resolution,[],[f437,f459]) ).
fof(f3472,plain,
! [X0] :
( ~ p102(sK95(X0))
| ~ p3(sK95(X0))
| p3(X0)
| ~ p102(X0)
| ~ sP19(X0)
| p103(X0)
| ~ sP14(X0) ),
inference(duplicate_literal_removal,[],[f3459]) ).
fof(f3556,plain,
! [X2,X0,X1] :
( ~ r1(sK106(sK119),X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p3(X2) ),
inference(resolution,[],[f1462,f849]) ).
fof(f3557,plain,
! [X2,X0,X1] :
( ~ r1(sK106(sK119),X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP59(X2) ),
inference(resolution,[],[f1462,f847]) ).
fof(f3558,plain,
! [X0,X1] :
( ~ r1(sK106(sK119),X0)
| ~ r1(X0,X1)
| sP47(X1) ),
inference(resolution,[],[f1462,f845]) ).
fof(f3559,plain,
! [X0] :
( ~ r1(sK106(sK119),X0)
| sP35(X0) ),
inference(resolution,[],[f1462,f843]) ).
fof(f3560,plain,
sP23(sK106(sK119)),
inference(resolution,[],[f1462,f841]) ).
fof(f3692,plain,
sP19(sK106(sK119)),
inference(resolution,[],[f3560,f421]) ).
fof(f3698,plain,
sP14(sK106(sK119)),
inference(resolution,[],[f3560,f427]) ).
fof(f3711,definition,
( spl121_85
<=> p103(sK106(sK119)) ),
introduced(definition,[new_symbols(definition,[spl121_85])],[avatar_definition]) ).
fof(f3712,plain,
( ~ p103(sK106(sK119))
| spl121_85 ),
inference(avatar_component_clause,[],[f3711]) ).
fof(f3713,plain,
( p103(sK106(sK119))
| ~ spl121_85 ),
inference(avatar_component_clause,[],[f3711]) ).
fof(f4252,plain,
( p103(sK106(sK119))
| ~ p102(sK106(sK119))
| p103(sK95(sK106(sK119))) ),
inference(resolution,[],[f3698,f456]) ).
fof(f4253,plain,
( p103(sK106(sK119))
| p103(sK95(sK106(sK119))) ),
inference(forward_subsumption_resolution,[],[f4252,f934]) ).
fof(f4257,definition,
( spl121_86
<=> p103(sK95(sK106(sK119))) ),
introduced(definition,[new_symbols(definition,[spl121_86])],[avatar_definition]) ).
fof(f4259,plain,
( p103(sK95(sK106(sK119)))
| ~ spl121_86 ),
inference(avatar_component_clause,[],[f4257]) ).
fof(f4260,plain,
( spl121_86
| spl121_85 ),
inference(avatar_split_clause,[],[f4253,f3711,f4257]) ).
fof(f4283,plain,
( p102(sK119)
| ~ p101(sK119)
| ~ sP1(sK119)
| ~ spl121_85 ),
inference(resolution,[],[f3713,f535]) ).
fof(f4284,plain,
( ~ p101(sK119)
| ~ sP1(sK119)
| ~ spl121_85 ),
inference(forward_subsumption_resolution,[],[f4283,f815]) ).
fof(f4285,plain,
( ~ sP1(sK119)
| ~ spl121_85 ),
inference(forward_subsumption_resolution,[],[f4284,f814]) ).
fof(f4286,plain,
( $false
| ~ spl121_85 ),
inference(forward_subsumption_resolution,[],[f4285,f865]) ).
fof(f4287,plain,
~ spl121_85,
inference(avatar_contradiction_clause,[],[f4286]) ).
fof(f5132,plain,
( sP35(sK95(sK106(sK119)))
| p103(sK106(sK119))
| ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119)) ),
inference(resolution,[],[f3559,f459]) ).
fof(f5141,plain,
( sP35(sK95(sK106(sK119)))
| ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119))
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f5132,f3712]) ).
fof(f5151,plain,
( sP35(sK95(sK106(sK119)))
| ~ sP14(sK106(sK119))
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f5141,f934]) ).
fof(f5173,plain,
( sP35(sK95(sK106(sK119)))
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f5151,f3698]) ).
fof(f5219,plain,
( ~ p103(sK95(sK106(sK119)))
| p102(sK95(sK106(sK119)))
| spl121_85 ),
inference(resolution,[],[f5173,f350]) ).
fof(f5224,plain,
( sP31(sK95(sK106(sK119)))
| spl121_85 ),
inference(resolution,[],[f5173,f355]) ).
fof(f5231,plain,
( sP27(sK95(sK106(sK119)))
| spl121_85 ),
inference(resolution,[],[f5173,f362]) ).
fof(f5234,definition,
( spl121_175
<=> p104(sK95(sK106(sK119))) ),
introduced(definition,[new_symbols(definition,[spl121_175])],[avatar_definition]) ).
fof(f5235,plain,
( ~ p104(sK95(sK106(sK119)))
| spl121_175 ),
inference(avatar_component_clause,[],[f5234]) ).
fof(f5236,plain,
( p104(sK95(sK106(sK119)))
| ~ spl121_175 ),
inference(avatar_component_clause,[],[f5234]) ).
fof(f5242,plain,
( p102(sK95(sK106(sK119)))
| spl121_85
| ~ spl121_86 ),
inference(forward_subsumption_resolution,[],[f5219,f4259]) ).
fof(f5248,definition,
( spl121_178
<=> p102(sK95(sK106(sK119))) ),
introduced(definition,[new_symbols(definition,[spl121_178])],[avatar_definition]) ).
fof(f5249,plain,
( p102(sK95(sK106(sK119)))
| ~ spl121_178 ),
inference(avatar_component_clause,[],[f5248]) ).
fof(f5257,plain,
( spl121_178
| spl121_85
| ~ spl121_86 ),
inference(avatar_split_clause,[],[f5242,f4257,f3711,f5248]) ).
fof(f5314,plain,
( p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| p104(sK83(sK95(sK106(sK119))))
| spl121_85 ),
inference(resolution,[],[f5231,f382]) ).
fof(f5315,plain,
( p104(sK95(sK106(sK119)))
| p104(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86 ),
inference(forward_subsumption_resolution,[],[f5314,f4259]) ).
fof(f5319,definition,
( spl121_185
<=> p104(sK83(sK95(sK106(sK119)))) ),
introduced(definition,[new_symbols(definition,[spl121_185])],[avatar_definition]) ).
fof(f5321,plain,
( p104(sK83(sK95(sK106(sK119))))
| ~ spl121_185 ),
inference(avatar_component_clause,[],[f5319]) ).
fof(f5322,plain,
( spl121_185
| spl121_175
| spl121_85
| ~ spl121_86 ),
inference(avatar_split_clause,[],[f5315,f4257,f3711,f5234,f5319]) ).
fof(f5342,plain,
( p103(sK106(sK119))
| ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119))
| ~ spl121_175 ),
inference(resolution,[],[f5236,f457]) ).
fof(f5343,plain,
( ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119))
| spl121_85
| ~ spl121_175 ),
inference(forward_subsumption_resolution,[],[f5342,f3712]) ).
fof(f5344,plain,
( ~ sP14(sK106(sK119))
| spl121_85
| ~ spl121_175 ),
inference(forward_subsumption_resolution,[],[f5343,f934]) ).
fof(f5345,plain,
( $false
| spl121_85
| ~ spl121_175 ),
inference(forward_subsumption_resolution,[],[f5344,f3698]) ).
fof(f5346,plain,
( spl121_85
| ~ spl121_175 ),
inference(avatar_contradiction_clause,[],[f5345]) ).
fof(f5368,definition,
( spl121_189
<=> p3(sK106(sK119)) ),
introduced(definition,[new_symbols(definition,[spl121_189])],[avatar_definition]) ).
fof(f5369,plain,
( p3(sK106(sK119))
| ~ spl121_189 ),
inference(avatar_component_clause,[],[f5368]) ).
fof(f5370,plain,
( ~ p3(sK106(sK119))
| spl121_189 ),
inference(avatar_component_clause,[],[f5368]) ).
fof(f5372,definition,
( spl121_190
<=> p3(sK95(sK106(sK119))) ),
introduced(definition,[new_symbols(definition,[spl121_190])],[avatar_definition]) ).
fof(f5373,plain,
( ~ p3(sK95(sK106(sK119)))
| spl121_190 ),
inference(avatar_component_clause,[],[f5372]) ).
fof(f5374,plain,
( p3(sK95(sK106(sK119)))
| ~ spl121_190 ),
inference(avatar_component_clause,[],[f5372]) ).
fof(f5854,plain,
( ~ p3(sK95(sK106(sK119)))
| p3(sK106(sK119))
| ~ p102(sK106(sK119))
| ~ sP19(sK106(sK119))
| p103(sK106(sK119))
| ~ sP14(sK106(sK119))
| ~ spl121_178 ),
inference(resolution,[],[f3472,f5249]) ).
fof(f7581,plain,
! [X0] :
( ~ r1(sK95(sK106(sK119)),X0)
| sP47(X0)
| p103(sK106(sK119))
| ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119)) ),
inference(resolution,[],[f3558,f459]) ).
fof(f7588,plain,
( ! [X0] :
( ~ r1(sK95(sK106(sK119)),X0)
| sP47(X0)
| ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119)) )
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f7581,f3712]) ).
fof(f7590,plain,
( ! [X0] :
( ~ r1(sK95(sK106(sK119)),X0)
| sP47(X0)
| ~ sP14(sK106(sK119)) )
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f7588,f934]) ).
fof(f7592,plain,
( ! [X0] :
( ~ r1(sK95(sK106(sK119)),X0)
| sP47(X0) )
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f7590,f3698]) ).
fof(f7685,plain,
( sP47(sK83(sK95(sK106(sK119))))
| p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| spl121_85 ),
inference(resolution,[],[f7592,f385]) ).
fof(f7704,plain,
( sP47(sK83(sK95(sK106(sK119))))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| spl121_85
| spl121_175 ),
inference(forward_subsumption_resolution,[],[f7685,f5235]) ).
fof(f7714,plain,
( sP47(sK83(sK95(sK106(sK119))))
| ~ sP27(sK95(sK106(sK119)))
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(forward_subsumption_resolution,[],[f7704,f4259]) ).
fof(f7748,plain,
( sP47(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(forward_subsumption_resolution,[],[f7714,f5231]) ).
fof(f7788,plain,
( ~ p103(sK83(sK95(sK106(sK119))))
| p102(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(resolution,[],[f7748,f284]) ).
fof(f7789,plain,
( ~ p104(sK83(sK95(sK106(sK119))))
| p103(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(resolution,[],[f7748,f285]) ).
fof(f7793,plain,
( sP43(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(resolution,[],[f7748,f289]) ).
fof(f7801,plain,
( sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(resolution,[],[f7748,f297]) ).
fof(f7802,plain,
( p103(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185 ),
inference(forward_subsumption_resolution,[],[f7789,f5321]) ).
fof(f7804,definition,
( spl121_416
<=> p102(sK83(sK95(sK106(sK119)))) ),
introduced(definition,[new_symbols(definition,[spl121_416])],[avatar_definition]) ).
fof(f7806,plain,
( p102(sK83(sK95(sK106(sK119))))
| ~ spl121_416 ),
inference(avatar_component_clause,[],[f7804]) ).
fof(f7808,definition,
( spl121_417
<=> p103(sK83(sK95(sK106(sK119)))) ),
introduced(definition,[new_symbols(definition,[spl121_417])],[avatar_definition]) ).
fof(f7811,plain,
( spl121_416
| ~ spl121_417
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(avatar_split_clause,[],[f7788,f5234,f4257,f3711,f7808,f7804]) ).
fof(f7822,plain,
( spl121_417
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185 ),
inference(avatar_split_clause,[],[f7802,f5319,f5234,f4257,f3711,f7808]) ).
fof(f7878,plain,
( p105(sK83(sK95(sK106(sK119))))
| ~ p104(sK83(sK95(sK106(sK119))))
| p105(sK71(sK83(sK95(sK106(sK119)))))
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(resolution,[],[f7801,f310]) ).
fof(f7879,plain,
( p105(sK83(sK95(sK106(sK119))))
| p105(sK71(sK83(sK95(sK106(sK119)))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185 ),
inference(forward_subsumption_resolution,[],[f7878,f5321]) ).
fof(f7883,definition,
( spl121_424
<=> p105(sK71(sK83(sK95(sK106(sK119))))) ),
introduced(definition,[new_symbols(definition,[spl121_424])],[avatar_definition]) ).
fof(f7885,plain,
( p105(sK71(sK83(sK95(sK106(sK119)))))
| ~ spl121_424 ),
inference(avatar_component_clause,[],[f7883]) ).
fof(f7887,definition,
( spl121_425
<=> p105(sK83(sK95(sK106(sK119)))) ),
introduced(definition,[new_symbols(definition,[spl121_425])],[avatar_definition]) ).
fof(f7888,plain,
( ~ p105(sK83(sK95(sK106(sK119))))
| spl121_425 ),
inference(avatar_component_clause,[],[f7887]) ).
fof(f7889,plain,
( p105(sK83(sK95(sK106(sK119))))
| ~ spl121_425 ),
inference(avatar_component_clause,[],[f7887]) ).
fof(f7890,plain,
( spl121_424
| spl121_425
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185 ),
inference(avatar_split_clause,[],[f7879,f5319,f5234,f4257,f3711,f7887,f7883]) ).
fof(f7913,definition,
( spl121_429
<=> p3(sK83(sK95(sK106(sK119)))) ),
introduced(definition,[new_symbols(definition,[spl121_429])],[avatar_definition]) ).
fof(f7914,plain,
( p3(sK83(sK95(sK106(sK119))))
| ~ spl121_429 ),
inference(avatar_component_clause,[],[f7913]) ).
fof(f7915,plain,
( ~ p3(sK83(sK95(sK106(sK119))))
| spl121_429 ),
inference(avatar_component_clause,[],[f7913]) ).
fof(f8084,plain,
( p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| ~ spl121_425 ),
inference(resolution,[],[f7889,f383]) ).
fof(f8085,plain,
( ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| spl121_175
| ~ spl121_425 ),
inference(forward_subsumption_resolution,[],[f8084,f5235]) ).
fof(f8086,plain,
( ~ sP27(sK95(sK106(sK119)))
| ~ spl121_86
| spl121_175
| ~ spl121_425 ),
inference(forward_subsumption_resolution,[],[f8085,f4259]) ).
fof(f8087,plain,
( $false
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_425 ),
inference(forward_subsumption_resolution,[],[f8086,f5231]) ).
fof(f8088,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_425 ),
inference(avatar_contradiction_clause,[],[f8087]) ).
fof(f10892,plain,
( ~ p3(sK83(sK95(sK106(sK119))))
| p3(sK95(sK106(sK119)))
| ~ p102(sK95(sK106(sK119)))
| ~ sP31(sK95(sK106(sK119)))
| p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| ~ spl121_416 ),
inference(resolution,[],[f2927,f7806]) ).
fof(f14783,plain,
! [X0,X1] :
( ~ r1(sK95(sK106(sK119)),X0)
| ~ r1(X0,X1)
| p3(X1)
| p103(sK106(sK119))
| ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119)) ),
inference(resolution,[],[f3556,f459]) ).
fof(f14790,plain,
( ! [X0,X1] :
( ~ r1(sK95(sK106(sK119)),X0)
| ~ r1(X0,X1)
| p3(X1)
| ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119)) )
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f14783,f3712]) ).
fof(f14792,plain,
( ! [X0,X1] :
( ~ r1(sK95(sK106(sK119)),X0)
| ~ r1(X0,X1)
| p3(X1)
| ~ sP14(sK106(sK119)) )
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f14790,f934]) ).
fof(f14794,plain,
( ! [X0,X1] :
( ~ r1(sK95(sK106(sK119)),X0)
| ~ r1(X0,X1)
| p3(X1) )
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f14792,f3698]) ).
fof(f14811,plain,
( ! [X0] :
( ~ r1(sK83(sK95(sK106(sK119))),X0)
| p3(X0)
| p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119))) )
| spl121_85 ),
inference(resolution,[],[f14794,f385]) ).
fof(f14826,plain,
( ! [X0] :
( ~ r1(sK83(sK95(sK106(sK119))),X0)
| p3(X0)
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119))) )
| spl121_85
| spl121_175 ),
inference(forward_subsumption_resolution,[],[f14811,f5235]) ).
fof(f14828,plain,
( ! [X0] :
( ~ r1(sK83(sK95(sK106(sK119))),X0)
| p3(X0)
| ~ sP27(sK95(sK106(sK119))) )
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(forward_subsumption_resolution,[],[f14826,f4259]) ).
fof(f14830,plain,
( ! [X0] :
( ~ r1(sK83(sK95(sK106(sK119))),X0)
| p3(X0) )
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(forward_subsumption_resolution,[],[f14828,f5231]) ).
fof(f14839,plain,
( p3(sK71(sK83(sK95(sK106(sK119)))))
| p105(sK83(sK95(sK106(sK119))))
| ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(resolution,[],[f14830,f312]) ).
fof(f14868,plain,
( p3(sK71(sK83(sK95(sK106(sK119)))))
| ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| spl121_425 ),
inference(forward_subsumption_resolution,[],[f14839,f7888]) ).
fof(f14878,plain,
( p3(sK71(sK83(sK95(sK106(sK119)))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425 ),
inference(forward_subsumption_resolution,[],[f14868,f5321]) ).
fof(f14924,plain,
( p3(sK71(sK83(sK95(sK106(sK119)))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425 ),
inference(forward_subsumption_resolution,[],[f14878,f7801]) ).
fof(f15363,plain,
! [X0,X1] :
( ~ r1(sK95(sK106(sK119)),X0)
| ~ r1(X0,X1)
| sP59(X1)
| p103(sK106(sK119))
| ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119)) ),
inference(resolution,[],[f3557,f459]) ).
fof(f15370,plain,
( ! [X0,X1] :
( ~ r1(sK95(sK106(sK119)),X0)
| ~ r1(X0,X1)
| sP59(X1)
| ~ p102(sK106(sK119))
| ~ sP14(sK106(sK119)) )
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f15363,f3712]) ).
fof(f15372,plain,
( ! [X0,X1] :
( ~ r1(sK95(sK106(sK119)),X0)
| ~ r1(X0,X1)
| sP59(X1)
| ~ sP14(sK106(sK119)) )
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f15370,f934]) ).
fof(f15374,plain,
( ! [X0,X1] :
( ~ r1(sK95(sK106(sK119)),X0)
| ~ r1(X0,X1)
| sP59(X1) )
| spl121_85 ),
inference(forward_subsumption_resolution,[],[f15372,f3698]) ).
fof(f15391,plain,
( ! [X0] :
( ~ r1(sK83(sK95(sK106(sK119))),X0)
| sP59(X0)
| p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119))) )
| spl121_85 ),
inference(resolution,[],[f15374,f385]) ).
fof(f15406,plain,
( ! [X0] :
( ~ r1(sK83(sK95(sK106(sK119))),X0)
| sP59(X0)
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119))) )
| spl121_85
| spl121_175 ),
inference(forward_subsumption_resolution,[],[f15391,f5235]) ).
fof(f15408,plain,
( ! [X0] :
( ~ r1(sK83(sK95(sK106(sK119))),X0)
| sP59(X0)
| ~ sP27(sK95(sK106(sK119))) )
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(forward_subsumption_resolution,[],[f15406,f4259]) ).
fof(f15410,plain,
( ! [X0] :
( ~ r1(sK83(sK95(sK106(sK119))),X0)
| sP59(X0) )
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(forward_subsumption_resolution,[],[f15408,f5231]) ).
fof(f15419,plain,
( sP59(sK71(sK83(sK95(sK106(sK119)))))
| p105(sK83(sK95(sK106(sK119))))
| ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175 ),
inference(resolution,[],[f15410,f312]) ).
fof(f15442,plain,
( sP59(sK71(sK83(sK95(sK106(sK119)))))
| ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| spl121_425 ),
inference(forward_subsumption_resolution,[],[f15419,f7888]) ).
fof(f15444,plain,
( sP59(sK71(sK83(sK95(sK106(sK119)))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425 ),
inference(forward_subsumption_resolution,[],[f15442,f5321]) ).
fof(f15446,plain,
( sP59(sK71(sK83(sK95(sK106(sK119)))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425 ),
inference(forward_subsumption_resolution,[],[f15444,f7801]) ).
fof(f15450,plain,
( ~ p103(sK71(sK83(sK95(sK106(sK119)))))
| p102(sK71(sK83(sK95(sK106(sK119)))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425 ),
inference(resolution,[],[f15446,f218]) ).
fof(f15451,plain,
( ~ p104(sK71(sK83(sK95(sK106(sK119)))))
| p103(sK71(sK83(sK95(sK106(sK119)))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425 ),
inference(resolution,[],[f15446,f219]) ).
fof(f15452,plain,
( ~ p105(sK71(sK83(sK95(sK106(sK119)))))
| p104(sK71(sK83(sK95(sK106(sK119)))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425 ),
inference(resolution,[],[f15446,f220]) ).
fof(f15464,plain,
( p104(sK71(sK83(sK95(sK106(sK119)))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_424
| spl121_425 ),
inference(forward_subsumption_resolution,[],[f15452,f7885]) ).
fof(f15466,definition,
( spl121_977
<=> p103(sK71(sK83(sK95(sK106(sK119))))) ),
introduced(definition,[new_symbols(definition,[spl121_977])],[avatar_definition]) ).
fof(f15470,definition,
( spl121_978
<=> p104(sK71(sK83(sK95(sK106(sK119))))) ),
introduced(definition,[new_symbols(definition,[spl121_978])],[avatar_definition]) ).
fof(f15473,plain,
( spl121_977
| ~ spl121_978
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425 ),
inference(avatar_split_clause,[],[f15451,f7887,f5319,f5234,f4257,f3711,f15470,f15466]) ).
fof(f15475,definition,
( spl121_979
<=> p102(sK71(sK83(sK95(sK106(sK119))))) ),
introduced(definition,[new_symbols(definition,[spl121_979])],[avatar_definition]) ).
fof(f15477,plain,
( p102(sK71(sK83(sK95(sK106(sK119)))))
| ~ spl121_979 ),
inference(avatar_component_clause,[],[f15475]) ).
fof(f15478,plain,
( spl121_979
| ~ spl121_977
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425 ),
inference(avatar_split_clause,[],[f15450,f7887,f5319,f5234,f4257,f3711,f15466,f15475]) ).
fof(f15489,plain,
( spl121_978
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_424
| spl121_425 ),
inference(avatar_split_clause,[],[f15464,f7887,f7883,f5319,f5234,f4257,f3711,f15470]) ).
fof(f15677,plain,
( ~ p3(sK71(sK83(sK95(sK106(sK119)))))
| p3(sK83(sK95(sK106(sK119))))
| ~ p102(sK83(sK95(sK106(sK119))))
| ~ sP43(sK83(sK95(sK106(sK119))))
| p105(sK83(sK95(sK106(sK119))))
| ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| ~ spl121_979 ),
inference(resolution,[],[f15477,f2384]) ).
fof(f15685,plain,
( p3(sK83(sK95(sK106(sK119))))
| ~ p102(sK83(sK95(sK106(sK119))))
| ~ sP43(sK83(sK95(sK106(sK119))))
| p105(sK83(sK95(sK106(sK119))))
| ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425
| ~ spl121_979 ),
inference(forward_subsumption_resolution,[],[f15677,f14924]) ).
fof(f15689,plain,
( ~ p102(sK83(sK95(sK106(sK119))))
| ~ sP43(sK83(sK95(sK106(sK119))))
| p105(sK83(sK95(sK106(sK119))))
| ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425
| spl121_429
| ~ spl121_979 ),
inference(forward_subsumption_resolution,[],[f15685,f7915]) ).
fof(f15693,plain,
( ~ sP43(sK83(sK95(sK106(sK119))))
| p105(sK83(sK95(sK106(sK119))))
| ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_416
| spl121_425
| spl121_429
| ~ spl121_979 ),
inference(forward_subsumption_resolution,[],[f15689,f7806]) ).
fof(f15697,plain,
( p105(sK83(sK95(sK106(sK119))))
| ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_416
| spl121_425
| spl121_429
| ~ spl121_979 ),
inference(forward_subsumption_resolution,[],[f15693,f7793]) ).
fof(f15701,plain,
( ~ p104(sK83(sK95(sK106(sK119))))
| ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_416
| spl121_425
| spl121_429
| ~ spl121_979 ),
inference(forward_subsumption_resolution,[],[f15697,f7888]) ).
fof(f15705,plain,
( ~ sP40(sK83(sK95(sK106(sK119))))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_416
| spl121_425
| spl121_429
| ~ spl121_979 ),
inference(forward_subsumption_resolution,[],[f15701,f5321]) ).
fof(f15707,plain,
( $false
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_416
| spl121_425
| spl121_429
| ~ spl121_979 ),
inference(forward_subsumption_resolution,[],[f15705,f7801]) ).
fof(f15708,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_416
| spl121_425
| spl121_429
| ~ spl121_979 ),
inference(avatar_contradiction_clause,[],[f15707]) ).
fof(f15709,plain,
( p3(sK95(sK106(sK119)))
| ~ p102(sK95(sK106(sK119)))
| ~ sP31(sK95(sK106(sK119)))
| p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| ~ spl121_416
| ~ spl121_429 ),
inference(forward_subsumption_resolution,[],[f10892,f7914]) ).
fof(f15711,plain,
( ~ p102(sK95(sK106(sK119)))
| ~ sP31(sK95(sK106(sK119)))
| p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| spl121_190
| ~ spl121_416
| ~ spl121_429 ),
inference(forward_subsumption_resolution,[],[f15709,f5373]) ).
fof(f15713,plain,
( ~ sP31(sK95(sK106(sK119)))
| p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| ~ spl121_178
| spl121_190
| ~ spl121_416
| ~ spl121_429 ),
inference(forward_subsumption_resolution,[],[f15711,f5249]) ).
fof(f15715,plain,
( p104(sK95(sK106(sK119)))
| ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| spl121_85
| ~ spl121_178
| spl121_190
| ~ spl121_416
| ~ spl121_429 ),
inference(forward_subsumption_resolution,[],[f15713,f5224]) ).
fof(f15717,plain,
( ~ p103(sK95(sK106(sK119)))
| ~ sP27(sK95(sK106(sK119)))
| spl121_85
| spl121_175
| ~ spl121_178
| spl121_190
| ~ spl121_416
| ~ spl121_429 ),
inference(forward_subsumption_resolution,[],[f15715,f5235]) ).
fof(f15719,plain,
( ~ sP27(sK95(sK106(sK119)))
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_178
| spl121_190
| ~ spl121_416
| ~ spl121_429 ),
inference(forward_subsumption_resolution,[],[f15717,f4259]) ).
fof(f15721,plain,
( $false
| spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_178
| spl121_190
| ~ spl121_416
| ~ spl121_429 ),
inference(forward_subsumption_resolution,[],[f15719,f5231]) ).
fof(f15722,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_178
| spl121_190
| ~ spl121_416
| ~ spl121_429 ),
inference(avatar_contradiction_clause,[],[f15721]) ).
fof(f15723,plain,
( p3(sK106(sK119))
| ~ p102(sK106(sK119))
| ~ sP19(sK106(sK119))
| p103(sK106(sK119))
| ~ sP14(sK106(sK119))
| ~ spl121_178
| ~ spl121_190 ),
inference(forward_subsumption_resolution,[],[f5854,f5374]) ).
fof(f15728,plain,
( ~ p102(sK106(sK119))
| ~ sP19(sK106(sK119))
| p103(sK106(sK119))
| ~ sP14(sK106(sK119))
| ~ spl121_178
| spl121_189
| ~ spl121_190 ),
inference(forward_subsumption_resolution,[],[f15723,f5370]) ).
fof(f15733,plain,
( ~ sP19(sK106(sK119))
| p103(sK106(sK119))
| ~ sP14(sK106(sK119))
| ~ spl121_178
| spl121_189
| ~ spl121_190 ),
inference(forward_subsumption_resolution,[],[f15728,f934]) ).
fof(f15738,plain,
( p103(sK106(sK119))
| ~ sP14(sK106(sK119))
| ~ spl121_178
| spl121_189
| ~ spl121_190 ),
inference(forward_subsumption_resolution,[],[f15733,f3692]) ).
fof(f15743,plain,
( ~ sP14(sK106(sK119))
| spl121_85
| ~ spl121_178
| spl121_189
| ~ spl121_190 ),
inference(forward_subsumption_resolution,[],[f15738,f3712]) ).
fof(f15748,plain,
( $false
| spl121_85
| ~ spl121_178
| spl121_189
| ~ spl121_190 ),
inference(forward_subsumption_resolution,[],[f15743,f3698]) ).
fof(f15749,plain,
( spl121_85
| ~ spl121_178
| spl121_189
| ~ spl121_190 ),
inference(avatar_contradiction_clause,[],[f15748]) ).
fof(f15815,plain,
( p102(sK119)
| ~ p101(sK119)
| ~ sP1(sK119)
| ~ spl121_189 ),
inference(resolution,[],[f5369,f536]) ).
fof(f15816,plain,
( ~ p101(sK119)
| ~ sP1(sK119)
| ~ spl121_189 ),
inference(forward_subsumption_resolution,[],[f15815,f815]) ).
fof(f15817,plain,
( ~ sP1(sK119)
| ~ spl121_189 ),
inference(forward_subsumption_resolution,[],[f15816,f814]) ).
fof(f15818,plain,
( $false
| ~ spl121_189 ),
inference(forward_subsumption_resolution,[],[f15817,f865]) ).
fof(f15819,plain,
~ spl121_189,
inference(avatar_contradiction_clause,[],[f15818]) ).
cnf(s79,plain,
( spl121_85
| spl121_86 ),
inference(sat_conversion,[],[f4260]) ).
cnf(s82,plain,
~ spl121_85,
inference(sat_conversion,[],[f4287]) ).
cnf(s159,plain,
( spl121_85
| ~ spl121_86
| spl121_178 ),
inference(sat_conversion,[],[f5257]) ).
cnf(s164,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| spl121_185 ),
inference(sat_conversion,[],[f5322]) ).
cnf(s167,plain,
( spl121_85
| ~ spl121_175 ),
inference(sat_conversion,[],[f5346]) ).
cnf(s365,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| spl121_416
| ~ spl121_417 ),
inference(sat_conversion,[],[f7811]) ).
cnf(s368,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_417 ),
inference(sat_conversion,[],[f7822]) ).
cnf(s373,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_424
| spl121_425 ),
inference(sat_conversion,[],[f7890]) ).
cnf(s392,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_425 ),
inference(sat_conversion,[],[f8088]) ).
cnf(s897,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425
| spl121_977
| ~ spl121_978 ),
inference(sat_conversion,[],[f15473]) ).
cnf(s898,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| spl121_425
| ~ spl121_977
| spl121_979 ),
inference(sat_conversion,[],[f15478]) ).
cnf(s901,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_424
| spl121_425
| spl121_978 ),
inference(sat_conversion,[],[f15489]) ).
cnf(s917,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_185
| ~ spl121_416
| spl121_425
| spl121_429
| ~ spl121_979 ),
inference(sat_conversion,[],[f15708]) ).
cnf(s918,plain,
( spl121_85
| ~ spl121_86
| spl121_175
| ~ spl121_178
| spl121_190
| ~ spl121_416
| ~ spl121_429 ),
inference(sat_conversion,[],[f15722]) ).
cnf(s919,plain,
( spl121_85
| ~ spl121_178
| spl121_189
| ~ spl121_190 ),
inference(sat_conversion,[],[f15749]) ).
cnf(s924,plain,
~ spl121_189,
inference(sat_conversion,[],[f15819]) ).
cnf(s925,plain,
( spl121_85
| ~ spl121_178
| ~ spl121_190 ),
inference(rat,[],[s919,s924]) ).
cnf(s999,plain,
~ spl121_175,
inference(rat,[],[s167,s82]) ).
cnf(s1029,plain,
spl121_86,
inference(rat,[],[s79,s82]) ).
cnf(s1031,plain,
~ spl121_425,
inference(rat,[],[s392,s999,s82,s1029]) ).
cnf(s1034,plain,
spl121_185,
inference(rat,[],[s164,s82,s999,s1029]) ).
cnf(s1035,plain,
spl121_178,
inference(rat,[],[s159,s82,s1029]) ).
cnf(s1042,plain,
spl121_424,
inference(rat,[],[s373,s1031,s1029,s999,s82,s1034]) ).
cnf(s1043,plain,
spl121_417,
inference(rat,[],[s368,s1029,s999,s82,s1034]) ).
cnf(s1044,plain,
~ spl121_190,
inference(rat,[],[s925,s82,s1035]) ).
cnf(s1049,plain,
spl121_978,
inference(rat,[],[s901,s1034,s1031,s1029,s999,s82,s1042]) ).
cnf(s1051,plain,
spl121_416,
inference(rat,[],[s365,s1029,s999,s82,s1043]) ).
cnf(s1056,plain,
spl121_977,
inference(rat,[],[s897,s1034,s1031,s1029,s999,s82,s1049]) ).
cnf(s1058,plain,
~ spl121_429,
inference(rat,[],[s918,s1044,s1035,s1029,s999,s82,s1051]) ).
cnf(s1061,plain,
spl121_979,
inference(rat,[],[s898,s1034,s1031,s1029,s999,s82,s1056]) ).
cnf(s1064,plain,
$false,
inference(rat,[],[s917,s1051,s1034,s1031,s1029,s999,s82,s1061,s1058]) ).
fof(f15820,plain,
$false,
inference(avatar_sat_refutation,[],[s1064]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL636+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 16:07:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.21/0.82 % (3141649)Will run a generic schedule for satisfiability detection.
% 2.21/0.82 % (3141659)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2720151908:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.21/0.82 % (3141655)% WARNING: option uhcvi not known.
% 2.21/0.82 % (3141656)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=467635338:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.21/0.82 % (3141654)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1431985209_2999 on theBenchmark for (2999ds/0Mi)
% 2.21/0.82 % (3141655)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=311480062:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.21/0.82 % (3141657)dis+10_1_sil=32000:sp=arity:random_seed=1701373157:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.21/0.82 % (3141658)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4287857709:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.21/0.82 % (3141660)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1529677669:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.21/0.82 % TRYING [1]
% 2.21/0.82 % TRYING [2]
% 2.21/0.82 % TRYING [3]
% 2.21/0.82 % TRYING [4]
% 2.21/0.82 % (3141659)Instruction limit reached!
% 2.21/0.82 % (3141659)------------------------------
% 2.21/0.82 % (3141659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.82 % (3141659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.82 % (3141659)CaDiCaL version: 2.1.3
% 2.21/0.82 % (3141659)Termination reason: Instruction limit
% 2.21/0.82 % (3141659)Termination phase: Saturation
% 2.21/0.82 % (3141659)Time elapsed: 0.043 s
% 2.21/0.82 % (3141659)Peak memory usage: 14 MB
% 2.21/0.82 % (3141659)Instructions burned: 133 (million)
% 2.21/0.82 % TRYING [5]
% 2.21/0.82 % (3141668)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2484363661:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.21/0.82 % (3141657)Instruction limit reached!
% 2.21/0.82 % (3141657)------------------------------
% 2.21/0.82 % (3141657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.82 % (3141657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.82 % (3141657)CaDiCaL version: 2.1.3
% 2.21/0.82 % (3141657)Termination reason: Instruction limit
% 2.21/0.82 % (3141657)Termination phase: Saturation
% 2.21/0.82 % (3141657)Time elapsed: 0.051 s
% 2.21/0.82 % (3141657)Peak memory usage: 13 MB
% 2.21/0.82 % (3141657)Instructions burned: 104 (million)
% 2.21/0.82 % TRYING [1]
% 2.21/0.82 % TRYING [2]
% 2.21/0.82 % TRYING [3]
% 2.21/0.82 % TRYING [4]
% 2.21/0.82 % TRYING [6]
% 2.21/0.82 % (3141658)Instruction limit reached!
% 2.21/0.82 % (3141658)------------------------------
% 2.21/0.82 % (3141658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.82 % (3141658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.82 % (3141658)CaDiCaL version: 2.1.3
% 2.21/0.82 % (3141658)Termination reason: Instruction limit
% 2.21/0.82 % (3141658)Termination phase: Saturation
% 2.21/0.82 % (3141658)Time elapsed: 0.060 s
% 2.21/0.82 % (3141658)Peak memory usage: 13 MB
% 2.21/0.82 % (3141658)Instructions burned: 117 (million)
% 2.21/0.82 % TRYING [5]
% 2.21/0.82 % (3141670)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1804922698:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.21/0.82 % TRYING [6]
% 2.21/0.82 % (3141671)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2013396261:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.21/0.82 % (3141660)Instruction limit reached!
% 2.21/0.82 % (3141660)------------------------------
% 2.21/0.82 % (3141660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.82 % (3141660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.82 % (3141660)CaDiCaL version: 2.1.3
% 2.21/0.82 % (3141660)Termination reason: Instruction limit
% 2.21/0.82 % (3141660)Termination phase: Saturation
% 2.21/0.82 % (3141660)Time elapsed: 0.083 s
% 2.21/0.82 % (3141660)Peak memory usage: 14 MB
% 2.21/0.82 % (3141660)Instructions burned: 159 (million)
% 2.21/0.82 % (3141674)ott-21_1_sil=16000:fs=off:random_seed=3162375607:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.21/0.82 % TRYING [7]
% 2.21/0.82 % TRYING [7]
% 2.21/0.82 % (3141670)Instruction limit reached!
% 2.21/0.82 % (3141670)------------------------------
% 2.21/0.82 % (3141670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.82 % (3141670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.82 % (3141670)CaDiCaL version: 2.1.3
% 2.21/0.82 % (3141670)Termination reason: Instruction limit
% 2.21/0.82 % (3141670)Termination phase: Saturation
% 2.21/0.82 % (3141670)Time elapsed: 0.073 s
% 2.21/0.82 % (3141670)Peak memory usage: 14 MB
% 2.21/0.82 % (3141670)Instructions burned: 133 (million)
% 2.21/0.82 % (3141676)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2390071653:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.21/0.82 % (3141674)Instruction limit reached!
% 2.21/0.82 % (3141674)------------------------------
% 2.21/0.82 % (3141674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.82 % (3141674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.82 % (3141674)CaDiCaL version: 2.1.3
% 2.21/0.82 % (3141674)Termination reason: Instruction limit
% 2.21/0.82 % (3141674)Termination phase: Saturation
% 2.21/0.82 % (3141674)Time elapsed: 0.087 s
% 2.21/0.82 % (3141674)Peak memory usage: 14 MB
% 2.21/0.82 % (3141674)Instructions burned: 180 (million)
% 2.21/0.82 % (3141678)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2570650660:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.21/0.82 % TRYING [1]
% 2.21/0.82 % TRYING [2]
% 2.21/0.82 % TRYING [3]
% 2.21/0.82 % TRYING [4]
% 2.21/0.82 % (3141668)Instruction limit reached!
% 2.21/0.82 % (3141668)------------------------------
% 2.21/0.82 % (3141668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.82 % (3141668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.82 % (3141668)CaDiCaL version: 2.1.3
% 2.21/0.82 % (3141668)Termination reason: Instruction limit
% 2.21/0.82 % (3141668)Termination phase: Finite model building SAT solving
% 2.21/0.82 % (3141668)Time elapsed: 0.194 s
% 2.21/0.82 % (3141668)Peak memory usage: 20 MB
% 2.21/0.82 % (3141668)Instructions burned: 715 (million)
% 2.21/0.82 % (3141680)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3521365594:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.21/0.82 % TRYING [5]
% 2.21/0.82 % TRYING [6]
% 2.21/0.82 % TRYING [7]
% 2.21/0.82 % TRYING [8]
% 2.21/0.82 % (3141680) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3141649-3141680"...
% 2.21/0.82 % (3141680)...printing done.
% 2.21/0.82 % (3141680)Refutation found. Thanks to Tanya!
% 2.21/0.82 % SZS status Theorem for theBenchmark
% 2.21/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.83 % (3141680)------------------------------
% 2.21/0.83 % (3141680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.83 % (3141680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.83 % (3141680)CaDiCaL version: 2.1.3
% 2.21/0.83 % (3141680)Termination reason: Refutation
% 2.21/0.83 % (3141680)Time elapsed: 0.109 s
% 2.21/0.83 % (3141680)Peak memory usage: 20 MB
% 2.21/0.83 % (3141680)Instructions burned: 404 (million)
% 2.21/0.83 % (3141649)Success in time 0.405 s
% 2.21/0.83 % Vampire exiting
%------------------------------------------------------------------------------