%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL638+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:13:12 PM UTC 2026
% Result : Theorem 10.98s 1.98s
% Output : CNFRefutation 10.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 1
% Syntax : Number of formulae : 64 ( 13 unt; 0 def)
% Number of atoms : 1343 ( 0 equ)
% Maximal formula atoms : 420 ( 20 avg)
% Number of connectives : 2639 (1360 ~;1125 |; 154 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 212 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 26 con; 0-7 aty)
% Number of variables : 775 ( 0 sgn 625 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ 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,X11,X12,X13,X14,X15,X16,X18,X19,X20,X21,X22,X23,X24,X27,X28,X29,X30,X31,X32,X33,X34,X36,X37,X38,X39,X40,X47,X48,X49,X50,X51,X52,X54,X55,X56,X57,X58,X60,X61,X62,X63,X64,X65,X68,X69,X70,X71,X72,X73,X74,X76,X77,X78,X79,X86,X87,X88,X89,X90,X92,X93,X94,X95,X97,X98,X99,X100,X101,X104,X105,X106,X107,X108,X109,X111,X112,X113,X120,X121,X122,X123,X125,X126,X127,X129,X130,X131,X132,X135,X136,X137,X138,X139,X141,X142,X149,X150,X151,X153,X154,X156,X157,X158,X161,X162,X163,X164,X166,X173] :
( ( p1(X173)
| ~ r1(esk56_0,X173) )
& ~ p1(esk56_0)
& r1(esk55_0,esk56_0)
& r1(esk54_0,esk55_0)
& r1(esk53_0,esk54_0)
& r1(esk52_0,esk53_0)
& r1(esk1_0,esk52_0)
& ( ~ r1(esk1_0,X166)
| $true )
& ( ~ r1(esk1_0,X166)
| r1(X166,esk51_1(X166)) )
& ( ~ r1(esk1_0,X162)
| p1(X164)
| ~ r1(X163,X164)
| ~ r1(X162,X163)
| ~ p1(esk50_1(X162)) )
& ( ~ r1(esk1_0,X162)
| p1(X164)
| ~ r1(X163,X164)
| ~ r1(X162,X163)
| r1(X162,esk50_1(X162)) )
& ( ~ r1(esk1_0,X156)
| ~ r1(X156,X157)
| ~ r1(X157,X158)
| p1(esk48_3(X156,X157,X158))
| ~ p1(X161)
| ~ r1(esk49_1(X156),X161) )
& ( ~ r1(esk1_0,X156)
| ~ r1(X156,X157)
| ~ r1(X157,X158)
| p1(esk48_3(X156,X157,X158))
| r1(X156,esk49_1(X156)) )
& ( ~ r1(esk1_0,X156)
| ~ r1(X156,X157)
| ~ r1(X157,X158)
| r1(X158,esk48_3(X156,X157,X158))
| ~ p1(X161)
| ~ r1(esk49_1(X156),X161) )
& ( ~ r1(esk1_0,X156)
| ~ r1(X156,X157)
| ~ r1(X157,X158)
| r1(X158,esk48_3(X156,X157,X158))
| r1(X156,esk49_1(X156)) )
& ( ~ r1(esk1_0,X153)
| ~ p1(X153)
| ~ r1(X153,X154)
| p1(esk47_2(X153,X154)) )
& ( ~ r1(esk1_0,X153)
| ~ p1(X153)
| ~ r1(X153,X154)
| r1(X154,esk47_2(X153,X154)) )
& ( ~ r1(esk1_0,X150)
| p1(X150)
| ~ r1(X150,X151)
| ~ p1(esk46_2(X150,X151)) )
& ( ~ r1(esk1_0,X150)
| p1(X150)
| ~ r1(X150,X151)
| r1(X151,esk46_2(X150,X151)) )
& ( p1(X149)
| ~ r1(esk45_0,X149) )
& ~ p1(esk45_0)
& r1(esk44_0,esk45_0)
& r1(esk43_0,esk44_0)
& r1(esk42_0,esk43_0)
& r1(esk41_0,esk42_0)
& r1(esk1_0,esk41_0)
& ( ~ r1(esk1_0,X141)
| ~ r1(X141,X142)
| $true )
& ( ~ r1(esk1_0,X141)
| ~ r1(X141,X142)
| r1(X142,esk40_2(X141,X142)) )
& ( ~ r1(esk1_0,X136)
| ~ r1(X136,X137)
| p1(X139)
| ~ r1(X138,X139)
| ~ r1(X137,X138)
| ~ p1(esk39_2(X136,X137)) )
& ( ~ r1(esk1_0,X136)
| ~ r1(X136,X137)
| p1(X139)
| ~ r1(X138,X139)
| ~ r1(X137,X138)
| r1(X137,esk39_2(X136,X137)) )
& ( ~ r1(esk1_0,X129)
| ~ r1(X129,X130)
| ~ r1(X130,X131)
| ~ r1(X131,X132)
| p1(esk37_4(X129,X130,X131,X132))
| ~ p1(X135)
| ~ r1(esk38_2(X129,X130),X135) )
& ( ~ r1(esk1_0,X129)
| ~ r1(X129,X130)
| ~ r1(X130,X131)
| ~ r1(X131,X132)
| p1(esk37_4(X129,X130,X131,X132))
| r1(X130,esk38_2(X129,X130)) )
& ( ~ r1(esk1_0,X129)
| ~ r1(X129,X130)
| ~ r1(X130,X131)
| ~ r1(X131,X132)
| r1(X132,esk37_4(X129,X130,X131,X132))
| ~ p1(X135)
| ~ r1(esk38_2(X129,X130),X135) )
& ( ~ r1(esk1_0,X129)
| ~ r1(X129,X130)
| ~ r1(X130,X131)
| ~ r1(X131,X132)
| r1(X132,esk37_4(X129,X130,X131,X132))
| r1(X130,esk38_2(X129,X130)) )
& ( ~ r1(esk1_0,X125)
| ~ r1(X125,X126)
| ~ p1(X126)
| ~ r1(X126,X127)
| p1(esk36_3(X125,X126,X127)) )
& ( ~ r1(esk1_0,X125)
| ~ r1(X125,X126)
| ~ p1(X126)
| ~ r1(X126,X127)
| r1(X127,esk36_3(X125,X126,X127)) )
& ( ~ r1(esk1_0,X121)
| ~ r1(X121,X122)
| p1(X122)
| ~ r1(X122,X123)
| ~ p1(esk35_3(X121,X122,X123)) )
& ( ~ r1(esk1_0,X121)
| ~ r1(X121,X122)
| p1(X122)
| ~ r1(X122,X123)
| r1(X123,esk35_3(X121,X122,X123)) )
& ( p1(X120)
| ~ r1(esk34_0,X120) )
& ~ p1(esk34_0)
& r1(esk33_0,esk34_0)
& r1(esk32_0,esk33_0)
& r1(esk31_0,esk32_0)
& r1(esk30_0,esk31_0)
& r1(esk1_0,esk30_0)
& ( ~ r1(esk1_0,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| $true )
& ( ~ r1(esk1_0,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| r1(X113,esk29_3(X111,X112,X113)) )
& ( ~ r1(esk1_0,X105)
| ~ r1(X105,X106)
| ~ r1(X106,X107)
| p1(X109)
| ~ r1(X108,X109)
| ~ r1(X107,X108)
| ~ p1(esk28_3(X105,X106,X107)) )
& ( ~ r1(esk1_0,X105)
| ~ r1(X105,X106)
| ~ r1(X106,X107)
| p1(X109)
| ~ r1(X108,X109)
| ~ r1(X107,X108)
| r1(X107,esk28_3(X105,X106,X107)) )
& ( ~ r1(esk1_0,X97)
| ~ r1(X97,X98)
| ~ r1(X98,X99)
| ~ r1(X99,X100)
| ~ r1(X100,X101)
| p1(esk26_5(X97,X98,X99,X100,X101))
| ~ p1(X104)
| ~ r1(esk27_3(X97,X98,X99),X104) )
& ( ~ r1(esk1_0,X97)
| ~ r1(X97,X98)
| ~ r1(X98,X99)
| ~ r1(X99,X100)
| ~ r1(X100,X101)
| p1(esk26_5(X97,X98,X99,X100,X101))
| r1(X99,esk27_3(X97,X98,X99)) )
& ( ~ r1(esk1_0,X97)
| ~ r1(X97,X98)
| ~ r1(X98,X99)
| ~ r1(X99,X100)
| ~ r1(X100,X101)
| r1(X101,esk26_5(X97,X98,X99,X100,X101))
| ~ p1(X104)
| ~ r1(esk27_3(X97,X98,X99),X104) )
& ( ~ r1(esk1_0,X97)
| ~ r1(X97,X98)
| ~ r1(X98,X99)
| ~ r1(X99,X100)
| ~ r1(X100,X101)
| r1(X101,esk26_5(X97,X98,X99,X100,X101))
| r1(X99,esk27_3(X97,X98,X99)) )
& ( ~ r1(esk1_0,X92)
| ~ r1(X92,X93)
| ~ r1(X93,X94)
| ~ p1(X94)
| ~ r1(X94,X95)
| p1(esk25_4(X92,X93,X94,X95)) )
& ( ~ r1(esk1_0,X92)
| ~ r1(X92,X93)
| ~ r1(X93,X94)
| ~ p1(X94)
| ~ r1(X94,X95)
| r1(X95,esk25_4(X92,X93,X94,X95)) )
& ( ~ r1(esk1_0,X87)
| ~ r1(X87,X88)
| ~ r1(X88,X89)
| p1(X89)
| ~ r1(X89,X90)
| ~ p1(esk24_4(X87,X88,X89,X90)) )
& ( ~ r1(esk1_0,X87)
| ~ r1(X87,X88)
| ~ r1(X88,X89)
| p1(X89)
| ~ r1(X89,X90)
| r1(X90,esk24_4(X87,X88,X89,X90)) )
& ( p1(X86)
| ~ r1(esk23_0,X86) )
& ~ p1(esk23_0)
& r1(esk22_0,esk23_0)
& r1(esk21_0,esk22_0)
& r1(esk20_0,esk21_0)
& r1(esk19_0,esk20_0)
& r1(esk1_0,esk19_0)
& ( ~ r1(esk1_0,X76)
| ~ r1(X76,X77)
| ~ r1(X77,X78)
| ~ r1(X78,X79)
| $true )
& ( ~ r1(esk1_0,X76)
| ~ r1(X76,X77)
| ~ r1(X77,X78)
| ~ r1(X78,X79)
| r1(X79,esk18_4(X76,X77,X78,X79)) )
& ( ~ r1(esk1_0,X69)
| ~ r1(X69,X70)
| ~ r1(X70,X71)
| ~ r1(X71,X72)
| p1(X74)
| ~ r1(X73,X74)
| ~ r1(X72,X73)
| ~ p1(esk17_4(X69,X70,X71,X72)) )
& ( ~ r1(esk1_0,X69)
| ~ r1(X69,X70)
| ~ r1(X70,X71)
| ~ r1(X71,X72)
| p1(X74)
| ~ r1(X73,X74)
| ~ r1(X72,X73)
| r1(X72,esk17_4(X69,X70,X71,X72)) )
& ( ~ r1(esk1_0,X60)
| ~ r1(X60,X61)
| ~ r1(X61,X62)
| ~ r1(X62,X63)
| ~ r1(X63,X64)
| ~ r1(X64,X65)
| p1(esk15_6(X60,X61,X62,X63,X64,X65))
| ~ p1(X68)
| ~ r1(esk16_4(X60,X61,X62,X63),X68) )
& ( ~ r1(esk1_0,X60)
| ~ r1(X60,X61)
| ~ r1(X61,X62)
| ~ r1(X62,X63)
| ~ r1(X63,X64)
| ~ r1(X64,X65)
| p1(esk15_6(X60,X61,X62,X63,X64,X65))
| r1(X63,esk16_4(X60,X61,X62,X63)) )
& ( ~ r1(esk1_0,X60)
| ~ r1(X60,X61)
| ~ r1(X61,X62)
| ~ r1(X62,X63)
| ~ r1(X63,X64)
| ~ r1(X64,X65)
| r1(X65,esk15_6(X60,X61,X62,X63,X64,X65))
| ~ p1(X68)
| ~ r1(esk16_4(X60,X61,X62,X63),X68) )
& ( ~ r1(esk1_0,X60)
| ~ r1(X60,X61)
| ~ r1(X61,X62)
| ~ r1(X62,X63)
| ~ r1(X63,X64)
| ~ r1(X64,X65)
| r1(X65,esk15_6(X60,X61,X62,X63,X64,X65))
| r1(X63,esk16_4(X60,X61,X62,X63)) )
& ( ~ r1(esk1_0,X54)
| ~ r1(X54,X55)
| ~ r1(X55,X56)
| ~ r1(X56,X57)
| ~ p1(X57)
| ~ r1(X57,X58)
| p1(esk14_5(X54,X55,X56,X57,X58)) )
& ( ~ r1(esk1_0,X54)
| ~ r1(X54,X55)
| ~ r1(X55,X56)
| ~ r1(X56,X57)
| ~ p1(X57)
| ~ r1(X57,X58)
| r1(X58,esk14_5(X54,X55,X56,X57,X58)) )
& ( ~ r1(esk1_0,X48)
| ~ r1(X48,X49)
| ~ r1(X49,X50)
| ~ r1(X50,X51)
| p1(X51)
| ~ r1(X51,X52)
| ~ p1(esk13_5(X48,X49,X50,X51,X52)) )
& ( ~ r1(esk1_0,X48)
| ~ r1(X48,X49)
| ~ r1(X49,X50)
| ~ r1(X50,X51)
| p1(X51)
| ~ r1(X51,X52)
| r1(X52,esk13_5(X48,X49,X50,X51,X52)) )
& ( p1(X47)
| ~ r1(esk12_0,X47) )
& ~ p1(esk12_0)
& r1(esk11_0,esk12_0)
& r1(esk10_0,esk11_0)
& r1(esk9_0,esk10_0)
& r1(esk8_0,esk9_0)
& r1(esk1_0,esk8_0)
& ( ~ r1(esk1_0,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| ~ r1(X39,X40)
| $true )
& ( ~ r1(esk1_0,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| ~ r1(X39,X40)
| r1(X40,esk7_5(X36,X37,X38,X39,X40)) )
& ( ~ r1(esk1_0,X28)
| ~ r1(X28,X29)
| ~ r1(X29,X30)
| ~ r1(X30,X31)
| ~ r1(X31,X32)
| p1(X34)
| ~ r1(X33,X34)
| ~ r1(X32,X33)
| ~ p1(esk6_5(X28,X29,X30,X31,X32)) )
& ( ~ r1(esk1_0,X28)
| ~ r1(X28,X29)
| ~ r1(X29,X30)
| ~ r1(X30,X31)
| ~ r1(X31,X32)
| p1(X34)
| ~ r1(X33,X34)
| ~ r1(X32,X33)
| r1(X32,esk6_5(X28,X29,X30,X31,X32)) )
& ( ~ r1(esk1_0,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| p1(esk4_7(X18,X19,X20,X21,X22,X23,X24))
| ~ p1(X27)
| ~ r1(esk5_5(X18,X19,X20,X21,X22),X27) )
& ( ~ r1(esk1_0,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| p1(esk4_7(X18,X19,X20,X21,X22,X23,X24))
| r1(X22,esk5_5(X18,X19,X20,X21,X22)) )
& ( ~ r1(esk1_0,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| r1(X24,esk4_7(X18,X19,X20,X21,X22,X23,X24))
| ~ p1(X27)
| ~ r1(esk5_5(X18,X19,X20,X21,X22),X27) )
& ( ~ r1(esk1_0,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| r1(X24,esk4_7(X18,X19,X20,X21,X22,X23,X24))
| r1(X22,esk5_5(X18,X19,X20,X21,X22)) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X15)
| ~ p1(X15)
| ~ r1(X15,X16)
| p1(esk3_6(X11,X12,X13,X14,X15,X16)) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X15)
| ~ p1(X15)
| ~ r1(X15,X16)
| r1(X16,esk3_6(X11,X12,X13,X14,X15,X16)) )
& ( ~ r1(esk1_0,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| p1(X8)
| ~ r1(X8,X9)
| ~ p1(esk2_6(X4,X5,X6,X7,X8,X9)) )
& ( ~ r1(esk1_0,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| p1(X8)
| ~ r1(X8,X9)
| r1(X9,esk2_6(X4,X5,X6,X7,X8,X9)) ) ),
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,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1)
| p1(X5)
| r1(X1,esk13_5(X2,X3,X4,X5,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
r1(esk1_0,esk52_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ p1(esk13_5(X1,X2,X3,X4,X5))
| p1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( ~ r1(X3,X4)
| ~ r1(X4,X1)
| ~ r1(X1,X2)
| ~ r1(esk52_0,X3)
| r1(X2,esk13_5(esk52_0,X3,X4,X1,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
r1(esk52_0,esk53_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(X1,X4)
| ~ r1(esk52_0,X2)
| ~ p1(esk13_5(esk52_0,X2,X3,X1,X4))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X1,X2)
| ~ r1(esk53_0,X3)
| r1(X2,esk13_5(esk52_0,esk53_0,X3,X1,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
r1(esk53_0,esk54_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ p1(X5)
| ~ r1(X5,X1)
| r1(X1,esk14_5(X2,X3,X4,X5,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(X1,X3)
| ~ r1(esk53_0,X2)
| ~ p1(esk13_5(esk52_0,esk53_0,X2,X1,X3))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk54_0,X1)
| r1(X2,esk13_5(esk52_0,esk53_0,esk54_0,X1,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
r1(esk54_0,esk55_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1)
| ~ r1(X6,X7)
| ~ r1(X1,X6)
| p1(X7)
| r1(X1,esk6_5(X2,X3,X4,X5,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1)
| ~ r1(esk52_0,X2)
| ~ p1(X4)
| r1(X1,esk14_5(esk52_0,X2,X3,X4,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk54_0,X1)
| ~ p1(esk13_5(esk52_0,esk53_0,esk54_0,X1,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1(esk55_0,X1)
| r1(X1,esk13_5(esk52_0,esk53_0,esk54_0,esk55_0,X1))
| p1(esk55_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
r1(esk55_0,esk56_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1)
| p1(X6)
| r1(X1,esk2_6(X2,X3,X4,X5,X6,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ p1(esk2_6(X1,X2,X3,X4,X5,X6))
| p1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,negated_conjecture,
( ~ r1(X2,X6)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X2)
| ~ r1(X6,X1)
| ~ r1(esk52_0,X3)
| r1(X2,esk6_5(esk52_0,X3,X4,X5,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk53_0,X2)
| ~ p1(X3)
| r1(X1,esk14_5(esk52_0,esk53_0,X2,X3,X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_8]) ).
cnf(c_0_25,negated_conjecture,
( ~ r1(esk55_0,X1)
| ~ p1(esk13_5(esk52_0,esk53_0,esk54_0,esk55_0,X1))
| p1(esk55_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( ~ r1(esk56_0,X1)
| p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( r1(esk56_0,esk13_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| p1(esk55_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1)
| ~ r1(X1,X2)
| ~ r1(esk52_0,X3)
| r1(X2,esk2_6(esk52_0,X3,X4,X5,X1,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_5]) ).
cnf(c_0_29,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1)
| ~ r1(X1,X5)
| ~ r1(esk52_0,X2)
| ~ p1(esk2_6(esk52_0,X2,X3,X4,X1,X5))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_5]) ).
cnf(c_0_30,negated_conjecture,
( ~ r1(X2,X5)
| ~ r1(X3,X4)
| ~ r1(X4,X2)
| ~ r1(X5,X1)
| ~ r1(esk53_0,X3)
| r1(X2,esk6_5(esk52_0,esk53_0,X3,X4,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_8]) ).
cnf(c_0_31,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk54_0,X2)
| ~ p1(X2)
| r1(X1,esk14_5(esk52_0,esk53_0,esk54_0,X2,X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( ~ p1(esk13_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| p1(esk55_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_33,negated_conjecture,
( p1(esk55_0)
| p1(esk13_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( ~ r1(X3,X4)
| ~ r1(X4,X1)
| ~ r1(X1,X2)
| ~ r1(esk53_0,X3)
| r1(X2,esk2_6(esk52_0,esk53_0,X3,X4,X1,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_8]) ).
cnf(c_0_35,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(X1,X4)
| ~ r1(esk53_0,X2)
| ~ p1(esk2_6(esk52_0,esk53_0,X2,X3,X1,X4))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_8]) ).
cnf(c_0_36,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ p1(esk6_5(X1,X2,X3,X4,X5))
| p1(X7) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,negated_conjecture,
( ~ r1(X2,X4)
| ~ r1(X3,X2)
| ~ r1(X4,X1)
| ~ r1(esk54_0,X3)
| r1(X2,esk6_5(esk52_0,esk53_0,esk54_0,X3,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_11]) ).
cnf(c_0_38,negated_conjecture,
( ~ r1(esk55_0,X1)
| ~ p1(esk55_0)
| r1(X1,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_15]) ).
cnf(c_0_39,negated_conjecture,
p1(esk55_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X1,X2)
| ~ r1(esk54_0,X3)
| r1(X2,esk2_6(esk52_0,esk53_0,esk54_0,X3,X1,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_11]) ).
cnf(c_0_41,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(X1,X3)
| ~ r1(esk54_0,X2)
| ~ p1(esk2_6(esk52_0,esk53_0,esk54_0,X2,X1,X3))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_11]) ).
cnf(c_0_42,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1)
| ~ r1(esk52_0,X2)
| ~ p1(esk6_5(esk52_0,X2,X3,X4,X5))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_5]) ).
cnf(c_0_43,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk55_0,X2)
| r1(X2,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_15]) ).
cnf(c_0_44,negated_conjecture,
( ~ r1(esk55_0,X1)
| r1(X1,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_45,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk55_0,X1)
| r1(X2,esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,X1,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_46,negated_conjecture,
~ p1(esk56_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_47,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk55_0,X1)
| ~ p1(esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,X1,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_15]) ).
cnf(c_0_48,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1)
| ~ r1(esk53_0,X2)
| ~ p1(esk6_5(esk52_0,esk53_0,X2,X3,X4))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_8]) ).
cnf(c_0_49,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk56_0,X2)
| r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_20]) ).
cnf(c_0_50,negated_conjecture,
r1(esk56_0,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
inference(spm,[status(thm)],[c_0_44,c_0_20]) ).
cnf(c_0_51,negated_conjecture,
( ~ r1(esk56_0,X1)
| r1(X1,esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_20]),c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( ~ r1(esk56_0,X1)
| ~ p1(esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_20]),c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1)
| ~ r1(esk54_0,X2)
| ~ p1(esk6_5(esk52_0,esk53_0,esk54_0,X2,X3))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_11]) ).
cnf(c_0_54,negated_conjecture,
( ~ r1(esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),X1)
| r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
r1(esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
inference(spm,[status(thm)],[c_0_51,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
~ p1(esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
inference(spm,[status(thm)],[c_0_52,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk55_0,X2)
| ~ p1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,X2))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_15]) ).
cnf(c_0_58,negated_conjecture,
r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk56_0,X2)
| ~ p1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| p1(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_20]) ).
cnf(c_0_60,negated_conjecture,
p1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
inference(spm,[status(thm)],[c_0_26,c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk56_0,X2)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]) ).
cnf(c_0_62,negated_conjecture,
( ~ r1(esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),X1)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_50]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_55]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL638+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n020.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 00:43:02 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.52 Running first-order theorem proving
% 0.26/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.98/1.98 % Version: 3.5.1
% 10.98/1.98 % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.98/1.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.98/1.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.98/1.98 % Starting new_bool_3 with 300s (1) cores
% 10.98/1.98 % Starting new_bool_1 with 300s (1) cores
% 10.98/1.98 % Starting sh5l with 300s (1) cores
% 10.98/1.98 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1624775 completed with status 0
% 10.98/1.98 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.98/1.98 % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.98/1.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.98/1.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.98/1.98 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.98/1.98 % No SInE strategy applied
% 10.98/1.98 % Search class: FGUNF-FSMM33-SFFFFFNN
% 10.98/1.98 % partial match(1): FGUNF-FSLM33-SFFFFFNN
% 10.98/1.98 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.98/1.98 % Starting SubtermCWHack with 136s (1) cores
% 10.98/1.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.98/1.98 % Starting new_bool_3 with 407s (1) cores
% 10.98/1.98 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 296s (1) cores
% 10.98/1.98 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S4d with 136s (1) cores
% 10.98/1.98 % H----_042_B03_F1_AE_Q4_SP_S2S with pid 1624785 completed with status 0
% 10.98/1.98 % Result found by H----_042_B03_F1_AE_Q4_SP_S2S
% 10.98/1.98 % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.98/1.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.98/1.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.98/1.98 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.98/1.98 % No SInE strategy applied
% 10.98/1.98 % Search class: FGUNF-FSMM33-SFFFFFNN
% 10.98/1.98 % partial match(1): FGUNF-FSLM33-SFFFFFNN
% 10.98/1.98 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.98/1.98 % Starting SubtermCWHack with 136s (1) cores
% 10.98/1.98 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.98/1.98 % Starting new_bool_3 with 407s (1) cores
% 10.98/1.98 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 296s (1) cores
% 10.98/1.98 % Preprocessing time : 0.004 s
% 10.98/1.98
% 10.98/1.98 % Proof found!
% 10.98/1.98 % SZS status Theorem
% 10.98/1.98 % SZS output start CNFRefutation
% See solution above
% 10.98/1.98 % Parsed axioms : 1
% 10.98/1.98 % Removed by relevancy pruning/SinE : 0
% 10.98/1.98 % Initial clauses : 95
% 10.98/1.98 % Removed in clause preprocessing : 5
% 10.98/1.98 % Initial clauses in saturation : 90
% 10.98/1.98 % Processed clauses : 4145
% 10.98/1.98 % ...of these trivial : 0
% 10.98/1.98 % ...subsumed : 189
% 10.98/1.98 % ...remaining for further processing : 3956
% 10.98/1.98 % Other redundant clauses eliminated : 0
% 10.98/1.98 % Clauses deleted for lack of memory : 0
% 10.98/1.98 % Backward-subsumed : 200
% 10.98/1.98 % Backward-rewritten : 284
% 10.98/1.98 % Generated clauses : 14181
% 10.98/1.98 % ...of the previous two non-redundant : 14181
% 10.98/1.98 % ...aggressively subsumed : 0
% 10.98/1.98 % Contextual simplify-reflections : 0
% 10.98/1.98 % Paramodulations : 14181
% 10.98/1.98 % Factorizations : 0
% 10.98/1.98 % NegExts : 0
% 10.98/1.98 % Equation resolutions : 0
% 10.98/1.98 % Disequality decompositions : 0
% 10.98/1.98 % Total rewrite steps : 294
% 10.98/1.98 % ...of those cached : 247
% 10.98/1.98 % Propositional unsat checks : 0
% 10.98/1.98 % Propositional check models : 0
% 10.98/1.98 % Propositional check unsatisfiable : 0
% 10.98/1.98 % Propositional clauses : 0
% 10.98/1.98 % Propositional clauses after purity: 0
% 10.98/1.98 % Propositional unsat core size : 0
% 10.98/1.98 % Propositional preprocessing time : 0.000
% 10.98/1.98 % Propositional encoding time : 0.000
% 10.98/1.98 % Propositional solver time : 0.000
% 10.98/1.98 % Success case prop preproc time : 0.000
% 10.98/1.98 % Success case prop encoding time : 0.000
% 10.98/1.98 % Success case prop solver time : 0.000
% 10.98/1.98 % Current number of processed clauses : 3472
% 10.98/1.98 % Positive orientable unit clauses : 153
% 10.98/1.98 % Positive unorientable unit clauses: 0
% 10.98/1.98 % Negative unit clauses : 16
% 10.98/1.98 % Non-unit-clauses : 3303
% 10.98/1.98 % Current number of unprocessed clauses: 9405
% 10.98/1.98 % ...number of literals in the above : 48457
% 10.98/1.98 % Current number of archived formulas : 0
% 10.98/1.98 % Current number of archived clauses : 484
% 10.98/1.98 % Clause-clause subsumption calls (NU) : 231792
% 10.98/1.98 % Rec. Clause-clause subsumption calls : 42399
% 10.98/1.98 % Non-unit clause-clause subsumptions : 339
% 10.98/1.98 % Unit Clause-clause subsumption calls : 8908
% 10.98/1.98 % Rewrite failures with RHS unbound : 0
% 10.98/1.98 % BW rewrite match attempts : 97
% 10.98/1.98 % BW rewrite match successes : 37
% 10.98/1.98 % Condensation attempts : 0
% 10.98/1.98 % Condensation successes : 0
% 10.98/1.98 % Termbank termtop insertions : 362990
% 10.98/1.98 % Search garbage collected termcells : 2445
% 10.98/1.98
% 10.98/1.98 % -------------------------------------------------
% 10.98/1.98 % User time : 1.361 s
% 10.98/1.98 % System time : 0.039 s
% 10.98/1.98 % Total time : 1.400 s
% 10.98/1.98 % Maximum resident set size: 4164 pages
% 10.98/1.98
% 10.98/1.98 % -------------------------------------------------
% 10.98/1.98 % User time : 6.662 s
% 10.98/1.98 % System time : 0.183 s
% 10.98/1.98 % Total time : 6.845 s
% 10.98/1.98 % Maximum resident set size: 4608 pages
% 10.98/1.98 % E exiting
%------------------------------------------------------------------------------