%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL646+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:14:54 PM UTC 2026
% Result : Theorem 243.48s 35.79s
% Output : CNFRefutation 243.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 1
% Syntax : Number of formulae : 49 ( 11 unt; 0 def)
% Number of atoms : 1919 ( 0 equ)
% Maximal formula atoms : 620 ( 39 avg)
% Number of connectives : 3717 (1847 ~;1539 |; 331 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 327 ( 15 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 69 ( 69 usr; 5 con; 0-4 aty)
% Number of variables : 1006 ( 0 sgn 948 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p6(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p6(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p3(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p4(X2)
& ! [X1] :
( p1(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p5(X2)
& ! [X1] :
( p5(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p2(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p3(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p4(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p3(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p5(X1)
& ! [X2] :
( p5(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p2(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p6(X2)
& ! [X1] :
( p6(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p2(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p4(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p2(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p4(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p6(X1)
& ! [X2] :
( p6(X2)
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p4(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p6(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X29,X30,X31,X32,X34,X35,X36,X37,X39,X40,X41,X42,X44,X45,X46,X47,X49,X50,X51,X52,X54,X55,X56,X57,X59,X60,X61,X62,X64,X65,X66,X67,X69,X70,X71,X73,X74,X75,X77,X78,X79,X80,X82,X83,X84,X85,X87,X88,X89,X90,X92,X93,X94,X96,X97,X98,X100,X101,X102,X103,X105,X106,X107,X108,X110,X111,X112,X113,X115,X116,X117,X119,X120,X121,X123,X124,X125,X126,X128,X129,X130,X131,X133,X134,X135,X136,X138,X139,X140,X141,X143,X144,X146,X147,X149,X150,X152,X153,X154,X156,X157,X158,X160,X161,X163,X164,X166,X167,X169,X170,X171,X173,X174,X175,X177,X178,X179,X181,X182,X184,X185,X187,X188,X190,X191,X192,X194,X195,X196,X198,X200,X202,X203,X205,X206,X208,X209,X211,X213,X215,X216,X218,X219,X221,X222,X224,X226,X228,X229,X231,X232,X234,X235,X237,X238,X240,X242,X244,X246,X248,X250,X252] :
( ~ p1(esk69_0)
& r1(esk1_0,esk69_0)
& ~ p2(esk68_0)
& r1(esk1_0,esk68_0)
& ~ p3(esk67_0)
& r1(esk1_0,esk67_0)
& ~ p5(esk66_0)
& r1(esk1_0,esk66_0)
& ( ~ r1(esk1_0,X252)
| p1(X252)
| ~ p3(esk65_1(X252)) )
& ( ~ r1(esk1_0,X252)
| p1(X252)
| r1(X252,esk65_1(X252)) )
& ( ~ r1(esk1_0,X250)
| p1(X250)
| ~ p5(esk64_1(X250)) )
& ( ~ r1(esk1_0,X250)
| p1(X250)
| r1(X250,esk64_1(X250)) )
& ( ~ r1(esk1_0,X248)
| p2(X248)
| ~ p1(esk63_1(X248)) )
& ( ~ r1(esk1_0,X248)
| p2(X248)
| r1(X248,esk63_1(X248)) )
& ( ~ r1(esk1_0,X246)
| p3(X246)
| ~ p3(esk62_1(X246)) )
& ( ~ r1(esk1_0,X246)
| p3(X246)
| r1(X246,esk62_1(X246)) )
& ( ~ r1(esk1_0,X244)
| p3(X244)
| ~ p5(esk61_1(X244)) )
& ( ~ r1(esk1_0,X244)
| p3(X244)
| r1(X244,esk61_1(X244)) )
& ( ~ r1(esk1_0,X242)
| p5(X242)
| ~ p3(esk60_1(X242)) )
& ( ~ r1(esk1_0,X242)
| p5(X242)
| r1(X242,esk60_1(X242)) )
& ( ~ r1(esk1_0,X240)
| p5(X240)
| ~ p5(esk59_1(X240)) )
& ( ~ r1(esk1_0,X240)
| p5(X240)
| r1(X240,esk59_1(X240)) )
& ( ~ r1(esk1_0,X237)
| ~ r1(X237,X238)
| p1(X238)
| ~ p1(esk58_2(X237,X238)) )
& ( ~ r1(esk1_0,X237)
| ~ r1(X237,X238)
| p1(X238)
| r1(X238,esk58_2(X237,X238)) )
& ( ~ r1(esk1_0,X234)
| ~ r1(X234,X235)
| p1(X235)
| ~ p3(esk57_2(X234,X235)) )
& ( ~ r1(esk1_0,X234)
| ~ r1(X234,X235)
| p1(X235)
| r1(X235,esk57_2(X234,X235)) )
& ( ~ r1(esk1_0,X231)
| ~ r1(X231,X232)
| p1(X232)
| ~ p4(esk56_2(X231,X232)) )
& ( ~ r1(esk1_0,X231)
| ~ r1(X231,X232)
| p1(X232)
| r1(X232,esk56_2(X231,X232)) )
& ( ~ r1(esk1_0,X228)
| ~ r1(X228,X229)
| p1(X229)
| ~ p5(esk55_2(X228,X229)) )
& ( ~ r1(esk1_0,X228)
| ~ r1(X228,X229)
| p1(X229)
| r1(X229,esk55_2(X228,X229)) )
& ( ~ r1(esk1_0,X226)
| p4(X226)
| ~ p2(esk54_1(X226)) )
& ( ~ r1(esk1_0,X226)
| p4(X226)
| r1(X226,esk54_1(X226)) )
& ( ~ r1(esk1_0,X224)
| p6(X224)
| ~ p2(esk53_1(X224)) )
& ( ~ r1(esk1_0,X224)
| p6(X224)
| r1(X224,esk53_1(X224)) )
& ( ~ r1(esk1_0,X221)
| ~ r1(X221,X222)
| p3(X222)
| ~ p1(esk52_2(X221,X222)) )
& ( ~ r1(esk1_0,X221)
| ~ r1(X221,X222)
| p3(X222)
| r1(X222,esk52_2(X221,X222)) )
& ( ~ r1(esk1_0,X218)
| ~ r1(X218,X219)
| p3(X219)
| ~ p3(esk51_2(X218,X219)) )
& ( ~ r1(esk1_0,X218)
| ~ r1(X218,X219)
| p3(X219)
| r1(X219,esk51_2(X218,X219)) )
& ( ~ r1(esk1_0,X215)
| ~ r1(X215,X216)
| p3(X216)
| ~ p5(esk50_2(X215,X216)) )
& ( ~ r1(esk1_0,X215)
| ~ r1(X215,X216)
| p3(X216)
| r1(X216,esk50_2(X215,X216)) )
& ( ~ r1(esk1_0,X213)
| p4(X213)
| ~ p4(esk49_1(X213)) )
& ( ~ r1(esk1_0,X213)
| p4(X213)
| r1(X213,esk49_1(X213)) )
& ( ~ r1(esk1_0,X211)
| p6(X211)
| ~ p4(esk48_1(X211)) )
& ( ~ r1(esk1_0,X211)
| p6(X211)
| r1(X211,esk48_1(X211)) )
& ( ~ r1(esk1_0,X208)
| ~ r1(X208,X209)
| p5(X209)
| ~ p1(esk47_2(X208,X209)) )
& ( ~ r1(esk1_0,X208)
| ~ r1(X208,X209)
| p5(X209)
| r1(X209,esk47_2(X208,X209)) )
& ( ~ r1(esk1_0,X205)
| ~ r1(X205,X206)
| p5(X206)
| ~ p3(esk46_2(X205,X206)) )
& ( ~ r1(esk1_0,X205)
| ~ r1(X205,X206)
| p5(X206)
| r1(X206,esk46_2(X205,X206)) )
& ( ~ r1(esk1_0,X202)
| ~ r1(X202,X203)
| p5(X203)
| ~ p5(esk45_2(X202,X203)) )
& ( ~ r1(esk1_0,X202)
| ~ r1(X202,X203)
| p5(X203)
| r1(X203,esk45_2(X202,X203)) )
& ( ~ r1(esk1_0,X200)
| p4(X200)
| ~ p6(esk44_1(X200)) )
& ( ~ r1(esk1_0,X200)
| p4(X200)
| r1(X200,esk44_1(X200)) )
& ( ~ r1(esk1_0,X198)
| p6(X198)
| ~ p6(esk43_1(X198)) )
& ( ~ r1(esk1_0,X198)
| p6(X198)
| r1(X198,esk43_1(X198)) )
& ( ~ r1(esk1_0,X194)
| ~ r1(X194,X195)
| ~ r1(X195,X196)
| p1(X196)
| ~ p3(esk42_3(X194,X195,X196)) )
& ( ~ r1(esk1_0,X194)
| ~ r1(X194,X195)
| ~ r1(X195,X196)
| p1(X196)
| r1(X196,esk42_3(X194,X195,X196)) )
& ( ~ r1(esk1_0,X190)
| ~ r1(X190,X191)
| ~ r1(X191,X192)
| p1(X192)
| ~ p5(esk41_3(X190,X191,X192)) )
& ( ~ r1(esk1_0,X190)
| ~ r1(X190,X191)
| ~ r1(X191,X192)
| p1(X192)
| r1(X192,esk41_3(X190,X191,X192)) )
& ( ~ r1(esk1_0,X187)
| ~ r1(X187,X188)
| p2(X188)
| ~ p2(esk40_2(X187,X188)) )
& ( ~ r1(esk1_0,X187)
| ~ r1(X187,X188)
| p2(X188)
| r1(X188,esk40_2(X187,X188)) )
& ( ~ r1(esk1_0,X184)
| ~ r1(X184,X185)
| p4(X185)
| ~ p2(esk39_2(X184,X185)) )
& ( ~ r1(esk1_0,X184)
| ~ r1(X184,X185)
| p4(X185)
| r1(X185,esk39_2(X184,X185)) )
& ( ~ r1(esk1_0,X181)
| ~ r1(X181,X182)
| p6(X182)
| ~ p2(esk38_2(X181,X182)) )
& ( ~ r1(esk1_0,X181)
| ~ r1(X181,X182)
| p6(X182)
| r1(X182,esk38_2(X181,X182)) )
& ( ~ r1(esk1_0,X177)
| ~ r1(X177,X178)
| ~ r1(X178,X179)
| p3(X179)
| ~ p3(esk37_3(X177,X178,X179)) )
& ( ~ r1(esk1_0,X177)
| ~ r1(X177,X178)
| ~ r1(X178,X179)
| p3(X179)
| r1(X179,esk37_3(X177,X178,X179)) )
& ( ~ r1(esk1_0,X173)
| ~ r1(X173,X174)
| ~ r1(X174,X175)
| p3(X175)
| ~ p5(esk36_3(X173,X174,X175)) )
& ( ~ r1(esk1_0,X173)
| ~ r1(X173,X174)
| ~ r1(X174,X175)
| p3(X175)
| r1(X175,esk36_3(X173,X174,X175)) )
& ( ~ r1(esk1_0,X169)
| ~ r1(X169,X170)
| ~ r1(X170,X171)
| p4(X171)
| ~ p1(esk35_3(X169,X170,X171)) )
& ( ~ r1(esk1_0,X169)
| ~ r1(X169,X170)
| ~ r1(X170,X171)
| p4(X171)
| r1(X171,esk35_3(X169,X170,X171)) )
& ( ~ r1(esk1_0,X166)
| ~ r1(X166,X167)
| p2(X167)
| ~ p4(esk34_2(X166,X167)) )
& ( ~ r1(esk1_0,X166)
| ~ r1(X166,X167)
| p2(X167)
| r1(X167,esk34_2(X166,X167)) )
& ( ~ r1(esk1_0,X163)
| ~ r1(X163,X164)
| p4(X164)
| ~ p4(esk33_2(X163,X164)) )
& ( ~ r1(esk1_0,X163)
| ~ r1(X163,X164)
| p4(X164)
| r1(X164,esk33_2(X163,X164)) )
& ( ~ r1(esk1_0,X160)
| ~ r1(X160,X161)
| p6(X161)
| ~ p4(esk32_2(X160,X161)) )
& ( ~ r1(esk1_0,X160)
| ~ r1(X160,X161)
| p6(X161)
| r1(X161,esk32_2(X160,X161)) )
& ( ~ r1(esk1_0,X156)
| ~ r1(X156,X157)
| ~ r1(X157,X158)
| p5(X158)
| ~ p3(esk31_3(X156,X157,X158)) )
& ( ~ r1(esk1_0,X156)
| ~ r1(X156,X157)
| ~ r1(X157,X158)
| p5(X158)
| r1(X158,esk31_3(X156,X157,X158)) )
& ( ~ r1(esk1_0,X152)
| ~ r1(X152,X153)
| ~ r1(X153,X154)
| p5(X154)
| ~ p5(esk30_3(X152,X153,X154)) )
& ( ~ r1(esk1_0,X152)
| ~ r1(X152,X153)
| ~ r1(X153,X154)
| p5(X154)
| r1(X154,esk30_3(X152,X153,X154)) )
& ( ~ r1(esk1_0,X149)
| ~ r1(X149,X150)
| p2(X150)
| ~ p6(esk29_2(X149,X150)) )
& ( ~ r1(esk1_0,X149)
| ~ r1(X149,X150)
| p2(X150)
| r1(X150,esk29_2(X149,X150)) )
& ( ~ r1(esk1_0,X146)
| ~ r1(X146,X147)
| p4(X147)
| ~ p6(esk28_2(X146,X147)) )
& ( ~ r1(esk1_0,X146)
| ~ r1(X146,X147)
| p4(X147)
| r1(X147,esk28_2(X146,X147)) )
& ( ~ r1(esk1_0,X143)
| ~ r1(X143,X144)
| p6(X144)
| ~ p6(esk27_2(X143,X144)) )
& ( ~ r1(esk1_0,X143)
| ~ r1(X143,X144)
| p6(X144)
| r1(X144,esk27_2(X143,X144)) )
& ( ~ r1(esk1_0,X138)
| ~ r1(X138,X139)
| ~ r1(X139,X140)
| ~ r1(X140,X141)
| p1(X141)
| ~ p1(esk26_4(X138,X139,X140,X141)) )
& ( ~ r1(esk1_0,X138)
| ~ r1(X138,X139)
| ~ r1(X139,X140)
| ~ r1(X140,X141)
| p1(X141)
| r1(X141,esk26_4(X138,X139,X140,X141)) )
& ( ~ r1(esk1_0,X133)
| ~ r1(X133,X134)
| ~ r1(X134,X135)
| ~ r1(X135,X136)
| p1(X136)
| ~ p3(esk25_4(X133,X134,X135,X136)) )
& ( ~ r1(esk1_0,X133)
| ~ r1(X133,X134)
| ~ r1(X134,X135)
| ~ r1(X135,X136)
| p1(X136)
| r1(X136,esk25_4(X133,X134,X135,X136)) )
& ( ~ r1(esk1_0,X128)
| ~ r1(X128,X129)
| ~ r1(X129,X130)
| ~ r1(X130,X131)
| p1(X131)
| ~ p4(esk24_4(X128,X129,X130,X131)) )
& ( ~ r1(esk1_0,X128)
| ~ r1(X128,X129)
| ~ r1(X129,X130)
| ~ r1(X130,X131)
| p1(X131)
| r1(X131,esk24_4(X128,X129,X130,X131)) )
& ( ~ r1(esk1_0,X123)
| ~ r1(X123,X124)
| ~ r1(X124,X125)
| ~ r1(X125,X126)
| p1(X126)
| ~ p5(esk23_4(X123,X124,X125,X126)) )
& ( ~ r1(esk1_0,X123)
| ~ r1(X123,X124)
| ~ r1(X124,X125)
| ~ r1(X125,X126)
| p1(X126)
| r1(X126,esk23_4(X123,X124,X125,X126)) )
& ( ~ r1(esk1_0,X119)
| ~ r1(X119,X120)
| ~ r1(X120,X121)
| p2(X121)
| ~ p2(esk22_3(X119,X120,X121)) )
& ( ~ r1(esk1_0,X119)
| ~ r1(X119,X120)
| ~ r1(X120,X121)
| p2(X121)
| r1(X121,esk22_3(X119,X120,X121)) )
& ( ~ r1(esk1_0,X115)
| ~ r1(X115,X116)
| ~ r1(X116,X117)
| p6(X117)
| ~ p2(esk21_3(X115,X116,X117)) )
& ( ~ r1(esk1_0,X115)
| ~ r1(X115,X116)
| ~ r1(X116,X117)
| p6(X117)
| r1(X117,esk21_3(X115,X116,X117)) )
& ( ~ r1(esk1_0,X110)
| ~ r1(X110,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| p3(X113)
| ~ p1(esk20_4(X110,X111,X112,X113)) )
& ( ~ r1(esk1_0,X110)
| ~ r1(X110,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| p3(X113)
| r1(X113,esk20_4(X110,X111,X112,X113)) )
& ( ~ r1(esk1_0,X105)
| ~ r1(X105,X106)
| ~ r1(X106,X107)
| ~ r1(X107,X108)
| p3(X108)
| ~ p3(esk19_4(X105,X106,X107,X108)) )
& ( ~ r1(esk1_0,X105)
| ~ r1(X105,X106)
| ~ r1(X106,X107)
| ~ r1(X107,X108)
| p3(X108)
| r1(X108,esk19_4(X105,X106,X107,X108)) )
& ( ~ r1(esk1_0,X100)
| ~ r1(X100,X101)
| ~ r1(X101,X102)
| ~ r1(X102,X103)
| p3(X103)
| ~ p5(esk18_4(X100,X101,X102,X103)) )
& ( ~ r1(esk1_0,X100)
| ~ r1(X100,X101)
| ~ r1(X101,X102)
| ~ r1(X102,X103)
| p3(X103)
| r1(X103,esk18_4(X100,X101,X102,X103)) )
& ( ~ r1(esk1_0,X96)
| ~ r1(X96,X97)
| ~ r1(X97,X98)
| p2(X98)
| ~ p4(esk17_3(X96,X97,X98)) )
& ( ~ r1(esk1_0,X96)
| ~ r1(X96,X97)
| ~ r1(X97,X98)
| p2(X98)
| r1(X98,esk17_3(X96,X97,X98)) )
& ( ~ r1(esk1_0,X92)
| ~ r1(X92,X93)
| ~ r1(X93,X94)
| p6(X94)
| ~ p4(esk16_3(X92,X93,X94)) )
& ( ~ r1(esk1_0,X92)
| ~ r1(X92,X93)
| ~ r1(X93,X94)
| p6(X94)
| r1(X94,esk16_3(X92,X93,X94)) )
& ( ~ r1(esk1_0,X87)
| ~ r1(X87,X88)
| ~ r1(X88,X89)
| ~ r1(X89,X90)
| p5(X90)
| ~ p1(esk15_4(X87,X88,X89,X90)) )
& ( ~ r1(esk1_0,X87)
| ~ r1(X87,X88)
| ~ r1(X88,X89)
| ~ r1(X89,X90)
| p5(X90)
| r1(X90,esk15_4(X87,X88,X89,X90)) )
& ( ~ r1(esk1_0,X82)
| ~ r1(X82,X83)
| ~ r1(X83,X84)
| ~ r1(X84,X85)
| p5(X85)
| ~ p3(esk14_4(X82,X83,X84,X85)) )
& ( ~ r1(esk1_0,X82)
| ~ r1(X82,X83)
| ~ r1(X83,X84)
| ~ r1(X84,X85)
| p5(X85)
| r1(X85,esk14_4(X82,X83,X84,X85)) )
& ( ~ r1(esk1_0,X77)
| ~ r1(X77,X78)
| ~ r1(X78,X79)
| ~ r1(X79,X80)
| p5(X80)
| ~ p5(esk13_4(X77,X78,X79,X80)) )
& ( ~ r1(esk1_0,X77)
| ~ r1(X77,X78)
| ~ r1(X78,X79)
| ~ r1(X79,X80)
| p5(X80)
| r1(X80,esk13_4(X77,X78,X79,X80)) )
& ( ~ r1(esk1_0,X73)
| ~ r1(X73,X74)
| ~ r1(X74,X75)
| p2(X75)
| ~ p6(esk12_3(X73,X74,X75)) )
& ( ~ r1(esk1_0,X73)
| ~ r1(X73,X74)
| ~ r1(X74,X75)
| p2(X75)
| r1(X75,esk12_3(X73,X74,X75)) )
& ( ~ r1(esk1_0,X69)
| ~ r1(X69,X70)
| ~ r1(X70,X71)
| p6(X71)
| ~ p6(esk11_3(X69,X70,X71)) )
& ( ~ r1(esk1_0,X69)
| ~ r1(X69,X70)
| ~ r1(X70,X71)
| p6(X71)
| r1(X71,esk11_3(X69,X70,X71)) )
& ( ~ r1(esk1_0,X64)
| ~ r1(X64,X65)
| ~ r1(X65,X66)
| ~ r1(X66,X67)
| p2(X67)
| ~ p2(esk10_4(X64,X65,X66,X67)) )
& ( ~ r1(esk1_0,X64)
| ~ r1(X64,X65)
| ~ r1(X65,X66)
| ~ r1(X66,X67)
| p2(X67)
| r1(X67,esk10_4(X64,X65,X66,X67)) )
& ( ~ r1(esk1_0,X59)
| ~ r1(X59,X60)
| ~ r1(X60,X61)
| ~ r1(X61,X62)
| p4(X62)
| ~ p2(esk9_4(X59,X60,X61,X62)) )
& ( ~ r1(esk1_0,X59)
| ~ r1(X59,X60)
| ~ r1(X60,X61)
| ~ r1(X61,X62)
| p4(X62)
| r1(X62,esk9_4(X59,X60,X61,X62)) )
& ( ~ r1(esk1_0,X54)
| ~ r1(X54,X55)
| ~ r1(X55,X56)
| ~ r1(X56,X57)
| p6(X57)
| ~ p2(esk8_4(X54,X55,X56,X57)) )
& ( ~ r1(esk1_0,X54)
| ~ r1(X54,X55)
| ~ r1(X55,X56)
| ~ r1(X56,X57)
| p6(X57)
| r1(X57,esk8_4(X54,X55,X56,X57)) )
& ( ~ r1(esk1_0,X49)
| ~ r1(X49,X50)
| ~ r1(X50,X51)
| ~ r1(X51,X52)
| p2(X52)
| ~ p4(esk7_4(X49,X50,X51,X52)) )
& ( ~ r1(esk1_0,X49)
| ~ r1(X49,X50)
| ~ r1(X50,X51)
| ~ r1(X51,X52)
| p2(X52)
| r1(X52,esk7_4(X49,X50,X51,X52)) )
& ( ~ r1(esk1_0,X44)
| ~ r1(X44,X45)
| ~ r1(X45,X46)
| ~ r1(X46,X47)
| p4(X47)
| ~ p4(esk6_4(X44,X45,X46,X47)) )
& ( ~ r1(esk1_0,X44)
| ~ r1(X44,X45)
| ~ r1(X45,X46)
| ~ r1(X46,X47)
| p4(X47)
| r1(X47,esk6_4(X44,X45,X46,X47)) )
& ( ~ r1(esk1_0,X39)
| ~ r1(X39,X40)
| ~ r1(X40,X41)
| ~ r1(X41,X42)
| p6(X42)
| ~ p4(esk5_4(X39,X40,X41,X42)) )
& ( ~ r1(esk1_0,X39)
| ~ r1(X39,X40)
| ~ r1(X40,X41)
| ~ r1(X41,X42)
| p6(X42)
| r1(X42,esk5_4(X39,X40,X41,X42)) )
& ( ~ r1(esk1_0,X34)
| ~ r1(X34,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| p2(X37)
| ~ p6(esk4_4(X34,X35,X36,X37)) )
& ( ~ r1(esk1_0,X34)
| ~ r1(X34,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| p2(X37)
| r1(X37,esk4_4(X34,X35,X36,X37)) )
& ( ~ r1(esk1_0,X29)
| ~ r1(X29,X30)
| ~ r1(X30,X31)
| ~ r1(X31,X32)
| p4(X32)
| ~ p6(esk3_4(X29,X30,X31,X32)) )
& ( ~ r1(esk1_0,X29)
| ~ r1(X29,X30)
| ~ r1(X30,X31)
| ~ r1(X31,X32)
| p4(X32)
| r1(X32,esk3_4(X29,X30,X31,X32)) )
& ( ~ r1(esk1_0,X24)
| ~ r1(X24,X25)
| ~ r1(X25,X26)
| ~ r1(X26,X27)
| p6(X27)
| ~ p6(esk2_4(X24,X25,X26,X27)) )
& ( ~ r1(esk1_0,X24)
| ~ r1(X24,X25)
| ~ r1(X25,X26)
| ~ r1(X26,X27)
| p6(X27)
| r1(X27,esk2_4(X24,X25,X26,X27)) )
& ( p2(X23)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| ~ r1(esk1_0,X19) )
& ( p4(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(esk1_0,X14) )
& ( p4(X13)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(esk1_0,X9) )
& ( p6(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(esk1_0,X4) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
cnf(c_0_4,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(X2,X1)
| p1(X1)
| r1(X1,esk56_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
r1(esk1_0,esk68_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ~ r1(esk1_0,X1)
| p2(X1)
| r1(X1,esk63_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
~ p2(esk68_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1)
| p4(X1)
| r1(X1,esk35_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( ~ r1(esk68_0,X1)
| r1(X1,esk56_2(esk68_0,X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_10,negated_conjecture,
r1(esk68_0,esk63_1(esk68_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_5]),c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ p4(esk56_2(X1,X2))
| p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk68_0,X2)
| r1(X1,esk35_3(esk68_0,X2,X1))
| p4(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p1(esk63_1(X1))
| p2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,negated_conjecture,
( r1(esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))
| p1(esk63_1(esk68_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1)
| p1(X1)
| r1(X1,esk24_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,negated_conjecture,
( ~ r1(esk68_0,X1)
| ~ p4(esk56_2(esk68_0,X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_5]) ).
cnf(c_0_17,negated_conjecture,
( ~ r1(esk63_1(esk68_0),X1)
| r1(X1,esk35_3(esk68_0,esk63_1(esk68_0),X1))
| p4(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_18,negated_conjecture,
r1(esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_5])]),c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ p1(esk35_3(X1,X2,X3))
| p4(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk68_0,X2)
| r1(X1,esk24_4(esk68_0,X2,X3,X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( ~ p4(esk56_2(esk68_0,esk63_1(esk68_0)))
| p1(esk63_1(esk68_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
cnf(c_0_22,negated_conjecture,
( r1(esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))
| p4(esk56_2(esk68_0,esk63_1(esk68_0))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk68_0,X2)
| ~ p1(esk35_3(esk68_0,X2,X1))
| p4(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk63_1(esk68_0),X2)
| r1(X1,esk24_4(esk68_0,esk63_1(esk68_0),X2,X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_25,negated_conjecture,
( r1(esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))
| p1(esk63_1(esk68_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| p4(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( ~ r1(esk63_1(esk68_0),X1)
| ~ p1(esk35_3(esk68_0,esk63_1(esk68_0),X1))
| p4(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_10]) ).
cnf(c_0_28,negated_conjecture,
( ~ r1(esk56_2(esk68_0,esk63_1(esk68_0)),X1)
| r1(X1,esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_29,negated_conjecture,
r1(esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_25]),c_0_5])]),c_0_7]) ).
cnf(c_0_30,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ p4(esk24_4(X1,X2,X3,X4))
| p1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,negated_conjecture,
( ~ r1(X2,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk68_0,X2)
| p4(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_5]) ).
cnf(c_0_32,negated_conjecture,
( ~ p1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))
| p4(esk56_2(esk68_0,esk63_1(esk68_0))) ),
inference(spm,[status(thm)],[c_0_27,c_0_18]) ).
cnf(c_0_33,negated_conjecture,
( r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))))
| p1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk68_0,X2)
| ~ p4(esk24_4(esk68_0,X2,X3,X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_5]) ).
cnf(c_0_35,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk63_1(esk68_0),X2)
| p4(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_10]) ).
cnf(c_0_36,negated_conjecture,
( r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))))
| p4(esk56_2(esk68_0,esk63_1(esk68_0))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk63_1(esk68_0),X2)
| ~ p4(esk24_4(esk68_0,esk63_1(esk68_0),X2,X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_10]) ).
cnf(c_0_38,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk56_2(esk68_0,esk63_1(esk68_0)),X2)
| p4(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_18]) ).
cnf(c_0_39,negated_conjecture,
( r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))))
| p1(esk63_1(esk68_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( ~ r1(esk56_2(esk68_0,esk63_1(esk68_0)),X1)
| ~ p4(esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),X1))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_18]) ).
cnf(c_0_41,negated_conjecture,
( ~ r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),X1)
| p4(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_29]) ).
cnf(c_0_42,negated_conjecture,
r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_39]),c_0_5])]),c_0_7]) ).
cnf(c_0_43,negated_conjecture,
( ~ p4(esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))))
| p1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))) ),
inference(spm,[status(thm)],[c_0_40,c_0_29]) ).
cnf(c_0_44,negated_conjecture,
p4(esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
p1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).
cnf(c_0_46,negated_conjecture,
p4(esk56_2(esk68_0,esk63_1(esk68_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_45])]) ).
cnf(c_0_47,negated_conjecture,
p1(esk63_1(esk68_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_46])]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_47]),c_0_5])]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL646+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 % Computer : n008.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Mon Sep 21 00:45:23 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 243.48/35.79 % Version: 3.5.1
% 243.48/35.79 % Preprocessing class: FSLSSMSSSSSNFFN.
% 243.48/35.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 243.48/35.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 243.48/35.79 % Starting new_bool_3 with 300s (1) cores
% 243.48/35.79 % Starting new_bool_1 with 300s (1) cores
% 243.48/35.79 % Starting sh5l with 300s (1) cores
% 243.48/35.79 % new_bool_1 with pid 3986166 completed with status 0
% 243.48/35.79 % Result found by new_bool_1
% 243.48/35.79 % Preprocessing class: FSLSSMSSSSSNFFN.
% 243.48/35.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 243.48/35.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 243.48/35.79 % Starting new_bool_3 with 300s (1) cores
% 243.48/35.79 % Starting new_bool_1 with 300s (1) cores
% 243.48/35.79 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 243.48/35.79 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 243.48/35.79 % Search class: FGUNF-FSLS32-SFFFFFNN
% 243.48/35.79 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 243.48/35.79 % Starting SubtermCWHack with 31s (1) cores
% 243.48/35.79 % SubtermCWHack with pid 3986168 completed with status 8
% 243.48/35.79 % Starting G-E--_107_B03_F1_PI_AE_Q4_CS_SP_PS_S4S with 181s (1) cores
% 243.48/35.79 % G-E--_107_B03_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 3986571 completed with status 0
% 243.48/35.79 % Result found by G-E--_107_B03_F1_PI_AE_Q4_CS_SP_PS_S4S
% 243.48/35.79 % Preprocessing class: FSLSSMSSSSSNFFN.
% 243.48/35.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 243.48/35.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 243.48/35.79 % Starting new_bool_3 with 300s (1) cores
% 243.48/35.79 % Starting new_bool_1 with 300s (1) cores
% 243.48/35.79 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 243.48/35.79 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 243.48/35.79 % Search class: FGUNF-FSLS32-SFFFFFNN
% 243.48/35.79 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 243.48/35.79 % Starting SubtermCWHack with 31s (1) cores
% 243.48/35.79 % SubtermCWHack with pid 3986168 completed with status 8
% 243.48/35.79 % Starting G-E--_107_B03_F1_PI_AE_Q4_CS_SP_PS_S4S with 181s (1) cores
% 243.48/35.79 % Preprocessing time : 0.005 s
% 243.48/35.79 % Presaturation interreduction done
% 243.48/35.79
% 243.48/35.79 % Proof found!
% 243.48/35.79 % SZS status Theorem
% 243.48/35.79 % SZS output start CNFRefutation
% See solution above
% 243.48/35.79 % Parsed axioms : 1
% 243.48/35.79 % Removed by relevancy pruning/SinE : 0
% 243.48/35.79 % Initial clauses : 140
% 243.48/35.79 % Removed in clause preprocessing : 0
% 243.48/35.79 % Initial clauses in saturation : 140
% 243.48/35.79 % Processed clauses : 10662
% 243.48/35.79 % ...of these trivial : 0
% 243.48/35.79 % ...subsumed : 1
% 243.48/35.79 % ...remaining for further processing : 10661
% 243.48/35.79 % Other redundant clauses eliminated : 0
% 243.48/35.79 % Clauses deleted for lack of memory : 0
% 243.48/35.79 % Backward-subsumed : 96
% 243.48/35.79 % Backward-rewritten : 363
% 243.48/35.79 % Generated clauses : 15277
% 243.48/35.79 % ...of the previous two non-redundant : 15279
% 243.48/35.79 % ...aggressively subsumed : 0
% 243.48/35.79 % Contextual simplify-reflections : 156
% 243.48/35.79 % Paramodulations : 15277
% 243.48/35.79 % Factorizations : 0
% 243.48/35.79 % NegExts : 0
% 243.48/35.79 % Equation resolutions : 0
% 243.48/35.79 % Disequality decompositions : 0
% 243.48/35.79 % Total rewrite steps : 599
% 243.48/35.79 % ...of those cached : 452
% 243.48/35.79 % Propositional unsat checks : 0
% 243.48/35.79 % Propositional check models : 0
% 243.48/35.79 % Propositional check unsatisfiable : 0
% 243.48/35.79 % Propositional clauses : 0
% 243.48/35.79 % Propositional clauses after purity: 0
% 243.48/35.79 % Propositional unsat core size : 0
% 243.48/35.79 % Propositional preprocessing time : 0.000
% 243.48/35.79 % Propositional encoding time : 0.000
% 243.48/35.79 % Propositional solver time : 0.000
% 243.48/35.79 % Success case prop preproc time : 0.000
% 243.48/35.79 % Success case prop encoding time : 0.000
% 243.48/35.79 % Success case prop solver time : 0.000
% 243.48/35.79 % Current number of processed clauses : 10063
% 243.48/35.79 % Positive orientable unit clauses : 590
% 243.48/35.79 % Positive unorientable unit clauses: 0
% 243.48/35.79 % Negative unit clauses : 60
% 243.48/35.79 % Non-unit-clauses : 9413
% 243.48/35.79 % Current number of unprocessed clauses: 4896
% 243.48/35.79 % ...number of literals in the above : 18701
% 243.48/35.79 % Current number of archived formulas : 0
% 243.48/35.79 % Current number of archived clauses : 598
% 243.48/35.79 % Clause-clause subsumption calls (NU) : 578158
% 243.48/35.79 % Rec. Clause-clause subsumption calls : 342888
% 243.48/35.79 % Non-unit clause-clause subsumptions : 253
% 243.48/35.79 % Unit Clause-clause subsumption calls : 7398
% 243.48/35.79 % Rewrite failures with RHS unbound : 0
% 243.48/35.79 % BW rewrite match attempts : 536
% 243.48/35.79 % BW rewrite match successes : 143
% 243.48/35.79 % Condensation attempts : 0
% 243.48/35.79 % Condensation successes : 0
% 243.48/35.79 % Termbank termtop insertions : 396635
% 243.48/35.79 % Search garbage collected termcells : 4033
% 243.48/35.79
% 243.48/35.79 % -------------------------------------------------
% 243.48/35.79 % User time : 33.486 s
% 243.48/35.79 % System time : 1.184 s
% 243.48/35.79 % Total time : 34.670 s
% 243.48/35.79 % Maximum resident set size: 4716 pages
% 243.48/35.79
% 243.48/35.79 % -------------------------------------------------
% 243.48/35.79 % User time : 33.495 s
% 243.48/35.79 % System time : 1.192 s
% 243.48/35.79 % Total time : 34.686 s
% 243.48/35.79 % Maximum resident set size: 4608 pages
% 243.48/35.79 % E exiting
%------------------------------------------------------------------------------