%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL652+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 : n026.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 01:15:03 PM UTC 2026
% Result : Theorem 161.84s 29.12s
% Output : CNFRefutation 161.84s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [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) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [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) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ 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) )
| ~ r1(X2,X1) )
| ! [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] :
( p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ! [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] :
( p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ 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) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [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) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& p2(X1)
& ~ ! [X2] :
( ~ ( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ 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) ) )
| ~ r1(X2,X1) )
| ~ ! [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] :
( ~ ! [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) )
| ~ ! [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] :
( ~ ! [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] :
( ~ p4(X2)
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [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) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [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) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ 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) )
| ~ r1(X2,X1) )
| ! [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] :
( p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ! [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] :
( p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ 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) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [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) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& p2(X1)
& ~ ! [X2] :
( ~ ( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ 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) ) )
| ~ r1(X2,X1) )
| ~ ! [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] :
( ~ ! [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) )
| ~ ! [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] :
( ~ ! [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] :
( ~ p4(X2)
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_2,plain,
! [X2] :
( epred2_1(X2)
<=> ~ ( ~ ! [X1] :
( ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [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) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& p2(X1)
& ~ ! [X2] :
( ~ ( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ 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) ) )
| ~ r1(X2,X1) )
| ~ ! [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] :
( ~ ! [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) )
| ~ ! [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) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(X2)
<=> ~ ( ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& p2(X1)
& ~ ! [X2] :
( ~ ( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [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) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [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) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ 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) )
| ~ r1(X2,X1) )
| ! [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] :
( p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ! [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] :
( p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ 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] :
( epred2_1(X2)
| ~ 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] :
( ~ p4(X2)
| ~ r1(X1,X2) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1]),c_0_2]) ).
fof(c_0_5,plain,
! [X2] :
( epred2_1(X2)
=> ~ ( ~ ! [X1] :
( ~ ( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [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) )
& ~ ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( epred1_1(X2)
| ~ 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) ) )
| ~ r1(X2,X1) )
| ~ ! [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] :
( ~ ! [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) )
| ~ ! [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) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_2]),c_0_3]) ).
fof(c_0_6,negated_conjecture,
! [X4,X5,X6,X7,X10,X11,X12,X13,X14,X18,X23,X28,X33,X38,X41,X43,X44,X45,X47,X48,X49,X51,X52,X53,X55,X56,X57,X59,X60,X61] :
( ( ~ p1(X61)
| ~ r1(X60,X61)
| ~ r1(X59,X60)
| ~ r1(esk1_0,X59)
| p1(esk30_1(X59)) )
& ( ~ p1(X61)
| ~ r1(X60,X61)
| ~ r1(X59,X60)
| ~ r1(esk1_0,X59)
| r1(X59,esk30_1(X59)) )
& ( ~ p1(X57)
| ~ r1(X56,X57)
| ~ r1(X55,X56)
| ~ r1(esk8_0,X55)
| p1(esk29_1(X55)) )
& ( ~ p1(X57)
| ~ r1(X56,X57)
| ~ r1(X55,X56)
| ~ r1(esk8_0,X55)
| r1(X55,esk29_1(X55)) )
& ( ~ p1(X53)
| ~ r1(X52,X53)
| ~ r1(X51,X52)
| ~ r1(esk12_0,X51)
| p1(esk28_1(X51)) )
& ( ~ p1(X53)
| ~ r1(X52,X53)
| ~ r1(X51,X52)
| ~ r1(esk12_0,X51)
| r1(X51,esk28_1(X51)) )
& ( ~ p1(X49)
| ~ r1(X48,X49)
| ~ r1(X47,X48)
| ~ r1(esk16_0,X47)
| p1(esk27_1(X47)) )
& ( ~ p1(X49)
| ~ r1(X48,X49)
| ~ r1(X47,X48)
| ~ r1(esk16_0,X47)
| r1(X47,esk27_1(X47)) )
& ( ~ p1(X45)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(esk20_0,X43)
| p1(esk26_1(X43)) )
& ( ~ p1(X45)
| ~ r1(X44,X45)
| ~ r1(X43,X44)
| ~ r1(esk20_0,X43)
| r1(X43,esk26_1(X43)) )
& ( ~ r1(esk24_0,X41)
| ~ p2(esk25_1(X41)) )
& ( ~ r1(esk24_0,X41)
| r1(X41,esk25_1(X41)) )
& r1(esk20_0,esk24_0)
& ~ p1(esk23_0)
& r1(esk21_0,esk23_0)
& ( p1(X38)
| ~ r1(esk22_0,X38) )
& r1(esk21_0,esk22_0)
& r1(esk20_0,esk21_0)
& r1(esk16_0,esk20_0)
& ~ p1(esk19_0)
& r1(esk17_0,esk19_0)
& ( p1(X33)
| ~ r1(esk18_0,X33) )
& r1(esk17_0,esk18_0)
& r1(esk16_0,esk17_0)
& r1(esk12_0,esk16_0)
& ~ p1(esk15_0)
& r1(esk13_0,esk15_0)
& ( p1(X28)
| ~ r1(esk14_0,X28) )
& r1(esk13_0,esk14_0)
& r1(esk12_0,esk13_0)
& r1(esk8_0,esk12_0)
& ~ p1(esk11_0)
& r1(esk9_0,esk11_0)
& ( p1(X23)
| ~ r1(esk10_0,X23) )
& r1(esk9_0,esk10_0)
& r1(esk8_0,esk9_0)
& r1(esk1_0,esk8_0)
& ~ p1(esk7_0)
& r1(esk5_0,esk7_0)
& ( p1(X18)
| ~ r1(esk6_0,X18) )
& r1(esk5_0,esk6_0)
& r1(esk1_0,esk5_0)
& ( ~ r1(esk1_0,X12)
| p1(X14)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ p1(esk4_1(X12)) )
& ( ~ r1(esk1_0,X12)
| p1(X14)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| r1(X12,esk4_1(X12)) )
& ( epred2_1(X11)
| ~ r1(esk1_0,X11) )
& ( ~ r1(esk1_0,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| p1(esk2_3(X5,X6,X7))
| ~ p1(X10)
| ~ r1(esk3_1(X5),X10) )
& ( ~ r1(esk1_0,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| p1(esk2_3(X5,X6,X7))
| r1(X5,esk3_1(X5)) )
& ( ~ r1(esk1_0,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| r1(X7,esk2_3(X5,X6,X7))
| ~ p1(X10)
| ~ r1(esk3_1(X5),X10) )
& ( ~ r1(esk1_0,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| r1(X7,esk2_3(X5,X6,X7))
| r1(X5,esk3_1(X5)) )
& ( ~ p4(X4)
| ~ r1(esk1_0,X4) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).
fof(c_0_7,plain,
! [X90,X91,X92,X93,X96,X97,X98,X99,X100,X103,X104,X105,X106,X107,X110,X111,X112,X113,X114,X117,X118,X119,X120,X121,X123,X124,X125,X127,X128,X129,X131,X132,X133] :
( ( ~ epred2_1(X90)
| ~ r1(X90,X131)
| p1(X133)
| ~ r1(X132,X133)
| ~ r1(X131,X132)
| ~ p1(esk56_2(X90,X131)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X131)
| p1(X133)
| ~ r1(X132,X133)
| ~ r1(X131,X132)
| r1(X131,esk56_2(X90,X131)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X127)
| p1(X129)
| ~ r1(X128,X129)
| ~ r1(X127,X128)
| ~ p1(esk55_3(X90,X97,X127)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X127)
| p1(X129)
| ~ r1(X128,X129)
| ~ r1(X127,X128)
| r1(X127,esk55_3(X90,X97,X127)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X123)
| p1(X125)
| ~ r1(X124,X125)
| ~ r1(X123,X124)
| ~ p1(esk54_4(X90,X97,X104,X123)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X123)
| p1(X125)
| ~ r1(X124,X125)
| ~ r1(X123,X124)
| r1(X123,esk54_4(X90,X97,X104,X123)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X111)
| ~ r1(X111,X119)
| p1(X121)
| ~ r1(X120,X121)
| ~ r1(X119,X120)
| ~ p1(esk53_5(X90,X97,X104,X111,X119)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X111)
| ~ r1(X111,X119)
| p1(X121)
| ~ r1(X120,X121)
| ~ r1(X119,X120)
| r1(X119,esk53_5(X90,X97,X104,X111,X119)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X111)
| epred1_1(X118)
| ~ r1(X111,X118) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| ~ r1(X113,X114)
| p1(esk51_7(X90,X97,X104,X111,X112,X113,X114))
| ~ p1(X117)
| ~ r1(esk52_5(X90,X97,X104,X111,X112),X117) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| ~ r1(X113,X114)
| p1(esk51_7(X90,X97,X104,X111,X112,X113,X114))
| r1(X112,esk52_5(X90,X97,X104,X111,X112)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| ~ r1(X113,X114)
| r1(X114,esk51_7(X90,X97,X104,X111,X112,X113,X114))
| ~ p1(X117)
| ~ r1(esk52_5(X90,X97,X104,X111,X112),X117) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| ~ r1(X113,X114)
| r1(X114,esk51_7(X90,X97,X104,X111,X112,X113,X114))
| r1(X112,esk52_5(X90,X97,X104,X111,X112)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X105)
| ~ r1(X105,X106)
| ~ r1(X106,X107)
| p1(esk49_6(X90,X97,X104,X105,X106,X107))
| ~ p1(X110)
| ~ r1(esk50_4(X90,X97,X104,X105),X110) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X105)
| ~ r1(X105,X106)
| ~ r1(X106,X107)
| p1(esk49_6(X90,X97,X104,X105,X106,X107))
| r1(X105,esk50_4(X90,X97,X104,X105)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X105)
| ~ r1(X105,X106)
| ~ r1(X106,X107)
| r1(X107,esk49_6(X90,X97,X104,X105,X106,X107))
| ~ p1(X110)
| ~ r1(esk50_4(X90,X97,X104,X105),X110) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X104)
| ~ r1(X104,X105)
| ~ r1(X105,X106)
| ~ r1(X106,X107)
| r1(X107,esk49_6(X90,X97,X104,X105,X106,X107))
| r1(X105,esk50_4(X90,X97,X104,X105)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X98)
| ~ r1(X98,X99)
| ~ r1(X99,X100)
| p1(esk47_5(X90,X97,X98,X99,X100))
| ~ p1(X103)
| ~ r1(esk48_3(X90,X97,X98),X103) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X98)
| ~ r1(X98,X99)
| ~ r1(X99,X100)
| p1(esk47_5(X90,X97,X98,X99,X100))
| r1(X98,esk48_3(X90,X97,X98)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X98)
| ~ r1(X98,X99)
| ~ r1(X99,X100)
| r1(X100,esk47_5(X90,X97,X98,X99,X100))
| ~ p1(X103)
| ~ r1(esk48_3(X90,X97,X98),X103) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X97)
| ~ r1(X97,X98)
| ~ r1(X98,X99)
| ~ r1(X99,X100)
| r1(X100,esk47_5(X90,X97,X98,X99,X100))
| r1(X98,esk48_3(X90,X97,X98)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X91)
| ~ r1(X91,X92)
| ~ r1(X92,X93)
| p1(esk45_4(X90,X91,X92,X93))
| ~ p1(X96)
| ~ r1(esk46_2(X90,X91),X96) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X91)
| ~ r1(X91,X92)
| ~ r1(X92,X93)
| p1(esk45_4(X90,X91,X92,X93))
| r1(X91,esk46_2(X90,X91)) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X91)
| ~ r1(X91,X92)
| ~ r1(X92,X93)
| r1(X93,esk45_4(X90,X91,X92,X93))
| ~ p1(X96)
| ~ r1(esk46_2(X90,X91),X96) )
& ( ~ epred2_1(X90)
| ~ r1(X90,X91)
| ~ r1(X91,X92)
| ~ r1(X92,X93)
| r1(X93,esk45_4(X90,X91,X92,X93))
| r1(X91,esk46_2(X90,X91)) ) ),
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_5])])])])])]) ).
cnf(c_0_8,negated_conjecture,
( ~ r1(esk1_0,X1)
| epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
r1(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ epred2_1(X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(X1,X2)
| epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
r1(esk8_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
epred2_1(esk8_0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk12_0,X2)
| epred1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_14,negated_conjecture,
r1(esk12_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_15,plain,
! [X2] :
( epred1_1(X2)
=> ~ ( ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& p2(X1)
& ~ ! [X2] :
( ~ ( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
cnf(c_0_16,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk16_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
r1(esk16_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_18,plain,
! [X63,X64,X67,X68,X70,X72,X73,X74,X78,X79,X81,X83,X89] :
( ( ~ epred1_1(X63)
| p2(esk42_1(X63))
| ~ p2(X89)
| ~ r1(esk44_1(X63),X89) )
& ( ~ epred1_1(X63)
| p2(esk42_1(X63))
| r1(X63,esk44_1(X63)) )
& ( ~ epred1_1(X63)
| ~ p3(esk43_1(X63))
| ~ p2(X89)
| ~ r1(esk44_1(X63),X89) )
& ( ~ epred1_1(X63)
| ~ p3(esk43_1(X63))
| r1(X63,esk44_1(X63)) )
& ( ~ epred1_1(X63)
| r1(esk42_1(X63),esk43_1(X63))
| ~ p2(X89)
| ~ r1(esk44_1(X63),X89) )
& ( ~ epred1_1(X63)
| r1(esk42_1(X63),esk43_1(X63))
| r1(X63,esk44_1(X63)) )
& ( ~ epred1_1(X63)
| r1(X63,esk42_1(X63))
| ~ p2(X89)
| ~ r1(esk44_1(X63),X89) )
& ( ~ epred1_1(X63)
| r1(X63,esk42_1(X63))
| r1(X63,esk44_1(X63)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| ~ p2(X81)
| ~ r1(esk38_2(X63,X79),X81)
| ~ r1(esk39_2(X63,X79),X83)
| p2(esk40_3(X63,X79,X83)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| ~ p2(X81)
| ~ r1(esk38_2(X63,X79),X81)
| ~ r1(esk39_2(X63,X79),X83)
| ~ p3(esk41_3(X63,X79,X83)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| ~ p2(X81)
| ~ r1(esk38_2(X63,X79),X81)
| ~ r1(esk39_2(X63,X79),X83)
| r1(esk40_3(X63,X79,X83),esk41_3(X63,X79,X83)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| ~ p2(X81)
| ~ r1(esk38_2(X63,X79),X81)
| ~ r1(esk39_2(X63,X79),X83)
| r1(X83,esk40_3(X63,X79,X83)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| ~ p2(X81)
| ~ r1(esk38_2(X63,X79),X81)
| r1(X79,esk39_2(X63,X79)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| r1(X79,esk38_2(X63,X79))
| ~ r1(esk39_2(X63,X79),X83)
| p2(esk40_3(X63,X79,X83)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| r1(X79,esk38_2(X63,X79))
| ~ r1(esk39_2(X63,X79),X83)
| ~ p3(esk41_3(X63,X79,X83)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| r1(X79,esk38_2(X63,X79))
| ~ r1(esk39_2(X63,X79),X83)
| r1(esk40_3(X63,X79,X83),esk41_3(X63,X79,X83)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| r1(X79,esk38_2(X63,X79))
| ~ r1(esk39_2(X63,X79),X83)
| r1(X83,esk40_3(X63,X79,X83)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X79)
| r1(X79,esk38_2(X63,X79))
| r1(X79,esk39_2(X63,X79)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X73)
| ~ r1(X73,X74)
| p2(esk35_3(X63,X73,X74))
| ~ p2(X78)
| ~ r1(esk37_1(X63),X78) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X73)
| ~ r1(X73,X74)
| p2(esk35_3(X63,X73,X74))
| r1(X63,esk37_1(X63)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X73)
| ~ r1(X73,X74)
| ~ p3(esk36_3(X63,X73,X74))
| ~ p2(X78)
| ~ r1(esk37_1(X63),X78) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X73)
| ~ r1(X73,X74)
| ~ p3(esk36_3(X63,X73,X74))
| r1(X63,esk37_1(X63)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X73)
| ~ r1(X73,X74)
| r1(esk35_3(X63,X73,X74),esk36_3(X63,X73,X74))
| ~ p2(X78)
| ~ r1(esk37_1(X63),X78) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X73)
| ~ r1(X73,X74)
| r1(esk35_3(X63,X73,X74),esk36_3(X63,X73,X74))
| r1(X63,esk37_1(X63)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X73)
| ~ r1(X73,X74)
| r1(X74,esk35_3(X63,X73,X74))
| ~ p2(X78)
| ~ r1(esk37_1(X63),X78) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X73)
| ~ r1(X73,X74)
| r1(X74,esk35_3(X63,X73,X74))
| r1(X63,esk37_1(X63)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X67)
| ~ p2(X67)
| ~ r1(X67,X68)
| p2(X68)
| ~ r1(X67,X70)
| ~ p2(X72)
| ~ r1(esk34_3(X63,X67,X70),X72) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X67)
| ~ p2(X67)
| ~ r1(X67,X68)
| p2(X68)
| ~ r1(X67,X70)
| r1(X70,esk34_3(X63,X67,X70)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X67)
| ~ p2(X67)
| ~ r1(X67,X68)
| ~ p3(esk33_3(X63,X67,X68))
| ~ r1(X67,X70)
| ~ p2(X72)
| ~ r1(esk34_3(X63,X67,X70),X72) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X67)
| ~ p2(X67)
| ~ r1(X67,X68)
| ~ p3(esk33_3(X63,X67,X68))
| ~ r1(X67,X70)
| r1(X70,esk34_3(X63,X67,X70)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X67)
| ~ p2(X67)
| ~ r1(X67,X68)
| r1(X68,esk33_3(X63,X67,X68))
| ~ r1(X67,X70)
| ~ p2(X72)
| ~ r1(esk34_3(X63,X67,X70),X72) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X67)
| ~ p2(X67)
| ~ r1(X67,X68)
| r1(X68,esk33_3(X63,X67,X68))
| ~ r1(X67,X70)
| r1(X70,esk34_3(X63,X67,X70)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X64)
| p2(esk31_2(X63,X64)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X64)
| ~ p3(esk32_2(X63,X64)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X64)
| r1(esk31_2(X63,X64),esk32_2(X63,X64)) )
& ( ~ epred1_1(X63)
| ~ r1(X63,X64)
| r1(X64,esk31_2(X63,X64)) ) ),
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_15])])])])])]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1(esk20_0,X1)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
r1(esk20_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
( ~ epred1_1(X1)
| r1(X1,esk42_1(X1))
| r1(X1,esk44_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
epred1_1(esk24_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( ~ r1(esk24_0,X1)
| r1(X1,esk25_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk24_0,esk42_1(esk24_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( ~ epred1_1(X1)
| p2(esk42_1(X1))
| r1(X1,esk44_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X3)
| ~ p2(X3)
| ~ r1(X3,X4)
| ~ r1(X3,X1)
| p2(X4)
| r1(X1,esk34_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( r1(esk24_0,esk44_1(esk24_0))
| p2(esk42_1(esk24_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_29,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk38_2(X2,X1))
| r1(X1,esk39_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( ~ r1(X2,esk42_1(esk24_0))
| ~ r1(esk42_1(esk24_0),X1)
| ~ epred1_1(X2)
| r1(esk24_0,esk44_1(esk24_0))
| r1(X1,esk34_3(X2,esk42_1(esk24_0),X1))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_24]),c_0_22])]) ).
cnf(c_0_32,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(X1,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X3)
| ~ r1(esk39_2(X2,X3),X1)
| r1(X3,esk38_2(X2,X3))
| r1(X1,esk40_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_22])]) ).
cnf(c_0_35,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ r1(esk39_2(X1,X2),X3)
| r1(X2,esk38_2(X1,X2))
| p2(esk40_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p2(X2)
| ~ r1(X2,X5)
| ~ r1(X2,X3)
| ~ p2(X4)
| ~ r1(esk34_3(X1,X2,X3),X4)
| p2(X5) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| r1(esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))),esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22])]),c_0_24]) ).
cnf(c_0_38,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_34]),c_0_22])]),c_0_24]) ).
cnf(c_0_39,plain,
( ~ r1(esk42_1(esk24_0),X1)
| r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| p2(X1)
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_22])]),c_0_24]),c_0_31]),c_0_28]),c_0_38]) ).
cnf(c_0_40,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X3)
| ~ r1(X3,X2)
| r1(X2,esk35_3(X1,X3,X2))
| r1(X1,esk37_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,negated_conjecture,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
cnf(c_0_42,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p2(esk35_3(X1,X2,X3))
| r1(X1,esk37_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_43,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(X1,esk37_1(X1))
| r1(esk24_0,esk44_1(esk24_0))
| r1(esk38_2(esk24_0,esk42_1(esk24_0)),esk35_3(X1,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(X1,esk37_1(X1))
| r1(esk24_0,esk44_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk35_3(X1,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_45,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p2(X3)
| ~ r1(esk38_2(X2,X1),X3)
| r1(X1,esk39_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_46,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk24_0,esk37_1(esk24_0))
| r1(esk38_2(esk24_0,esk42_1(esk24_0)),esk35_3(esk24_0,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_24]),c_0_22])]) ).
cnf(c_0_47,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk24_0,esk37_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk35_3(esk24_0,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_24]),c_0_22])]) ).
cnf(c_0_48,plain,
( r1(esk24_0,esk37_1(esk24_0))
| r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_22])]),c_0_24]),c_0_47]) ).
cnf(c_0_49,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X3)
| ~ p2(X4)
| ~ r1(esk38_2(X2,X3),X4)
| ~ r1(esk39_2(X2,X3),X1)
| r1(X1,esk40_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_50,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(esk24_0,esk44_1(esk24_0))
| r1(esk24_0,esk37_1(esk24_0))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(X1,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_30,c_0_48]) ).
cnf(c_0_51,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p2(X4)
| ~ r1(esk38_2(X1,X2),X4)
| ~ r1(esk39_2(X1,X2),X3)
| p2(esk40_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_52,plain,
( ~ r1(esk39_2(esk24_0,esk42_1(esk24_0)),X1)
| r1(esk24_0,esk37_1(esk24_0))
| r1(esk24_0,esk44_1(esk24_0))
| r1(X1,esk40_3(esk24_0,esk42_1(esk24_0),X1))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_46]),c_0_22])]),c_0_24]),c_0_47]) ).
cnf(c_0_53,plain,
( r1(esk24_0,esk37_1(esk24_0))
| r1(esk24_0,esk44_1(esk24_0))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_24]),c_0_22])]) ).
cnf(c_0_54,plain,
( ~ r1(esk39_2(esk24_0,esk42_1(esk24_0)),X1)
| r1(esk24_0,esk37_1(esk24_0))
| r1(esk24_0,esk44_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_22])]),c_0_24]),c_0_47]) ).
cnf(c_0_55,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk24_0,esk37_1(esk24_0))
| r1(esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))),esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk24_0,esk37_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))) ),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_57,plain,
( ~ r1(esk42_1(esk24_0),X1)
| r1(esk24_0,esk37_1(esk24_0))
| r1(esk24_0,esk44_1(esk24_0))
| p2(X1)
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_55]),c_0_22])]),c_0_24]),c_0_48]),c_0_28]),c_0_56]) ).
cnf(c_0_58,negated_conjecture,
( ~ r1(esk24_0,X1)
| ~ p2(esk25_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_59,negated_conjecture,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk24_0,esk37_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_57,c_0_27]) ).
cnf(c_0_60,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| r1(X1,esk31_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_61,negated_conjecture,
( r1(esk24_0,esk37_1(esk24_0))
| r1(esk24_0,esk44_1(esk24_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_24]) ).
cnf(c_0_62,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X2)
| p2(esk31_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_63,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X4)
| ~ r1(X4,X3)
| ~ p2(X2)
| ~ r1(esk37_1(X1),X2)
| r1(X3,esk35_3(X1,X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_64,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk37_1(esk24_0),esk31_2(esk24_0,esk37_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_22])]) ).
cnf(c_0_65,plain,
( r1(esk24_0,esk44_1(esk24_0))
| p2(esk31_2(esk24_0,esk37_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_22])]) ).
cnf(c_0_66,plain,
( ~ epred1_1(X1)
| ~ r1(X1,X3)
| ~ r1(X3,X4)
| ~ p2(X2)
| ~ r1(esk37_1(X1),X2)
| p2(esk35_3(X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_67,plain,
( ~ r1(X2,X1)
| ~ r1(esk24_0,X2)
| r1(esk24_0,esk44_1(esk24_0))
| r1(X1,esk35_3(esk24_0,X2,X1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_22])]),c_0_65]) ).
cnf(c_0_68,plain,
( ~ r1(X1,X2)
| ~ r1(esk24_0,X1)
| r1(esk24_0,esk44_1(esk24_0))
| p2(esk35_3(esk24_0,X1,X2)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_64]),c_0_22])]),c_0_65]) ).
cnf(c_0_69,plain,
( ~ r1(esk42_1(esk24_0),X1)
| r1(esk24_0,esk44_1(esk24_0))
| r1(X1,esk35_3(esk24_0,esk42_1(esk24_0),X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_24]) ).
cnf(c_0_70,plain,
( ~ r1(esk42_1(esk24_0),X1)
| r1(esk24_0,esk44_1(esk24_0))
| p2(esk35_3(esk24_0,esk42_1(esk24_0),X1)) ),
inference(spm,[status(thm)],[c_0_68,c_0_24]) ).
cnf(c_0_71,negated_conjecture,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk38_2(esk24_0,esk42_1(esk24_0)),esk35_3(esk24_0,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_69,c_0_41]) ).
cnf(c_0_72,negated_conjecture,
( r1(esk24_0,esk44_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk35_3(esk24_0,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_41]) ).
cnf(c_0_73,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_71]),c_0_22])]),c_0_24]),c_0_72]) ).
cnf(c_0_74,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(esk24_0,esk44_1(esk24_0))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(X1,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_30,c_0_73]) ).
cnf(c_0_75,plain,
( ~ r1(esk39_2(esk24_0,esk42_1(esk24_0)),X1)
| r1(esk24_0,esk44_1(esk24_0))
| r1(X1,esk40_3(esk24_0,esk42_1(esk24_0),X1))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_71]),c_0_22])]),c_0_24]),c_0_72]) ).
cnf(c_0_76,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_24]),c_0_22])]) ).
cnf(c_0_77,plain,
( ~ r1(esk39_2(esk24_0,esk42_1(esk24_0)),X1)
| r1(esk24_0,esk44_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_71]),c_0_22])]),c_0_24]),c_0_72]) ).
cnf(c_0_78,plain,
( r1(esk24_0,esk44_1(esk24_0))
| r1(esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))),esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_79,plain,
( r1(esk24_0,esk44_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))) ),
inference(spm,[status(thm)],[c_0_77,c_0_76]) ).
cnf(c_0_80,plain,
( ~ r1(esk42_1(esk24_0),X1)
| r1(esk24_0,esk44_1(esk24_0))
| p2(X1)
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_78]),c_0_22])]),c_0_24]),c_0_73]),c_0_28]),c_0_79]) ).
cnf(c_0_81,negated_conjecture,
( r1(esk24_0,esk44_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_80,c_0_27]) ).
cnf(c_0_82,negated_conjecture,
r1(esk24_0,esk44_1(esk24_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_81]),c_0_24]) ).
cnf(c_0_83,plain,
( ~ epred1_1(X1)
| ~ p2(X2)
| ~ r1(esk44_1(X1),X2)
| r1(X1,esk42_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_84,plain,
r1(esk44_1(esk24_0),esk31_2(esk24_0,esk44_1(esk24_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_82]),c_0_22])]) ).
cnf(c_0_85,plain,
p2(esk31_2(esk24_0,esk44_1(esk24_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_82]),c_0_22])]) ).
cnf(c_0_86,plain,
r1(esk24_0,esk42_1(esk24_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_22]),c_0_85])]) ).
cnf(c_0_87,plain,
( ~ epred1_1(X1)
| ~ p2(X2)
| ~ r1(esk44_1(X1),X2)
| p2(esk42_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_88,negated_conjecture,
r1(esk42_1(esk24_0),esk25_1(esk42_1(esk24_0))),
inference(spm,[status(thm)],[c_0_23,c_0_86]) ).
cnf(c_0_89,plain,
p2(esk42_1(esk24_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_84]),c_0_22]),c_0_85])]) ).
cnf(c_0_90,plain,
( ~ r1(X2,esk42_1(esk24_0))
| ~ r1(esk42_1(esk24_0),X1)
| ~ epred1_1(X2)
| r1(X1,esk34_3(X2,esk42_1(esk24_0),X1))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_88]),c_0_89])]) ).
cnf(c_0_91,plain,
( r1(esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_86]),c_0_22])]) ).
cnf(c_0_92,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(X1,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_93,plain,
( r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_86]),c_0_22])]) ).
cnf(c_0_94,plain,
( r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| r1(esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))),esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_93]),c_0_22]),c_0_86])]) ).
cnf(c_0_95,plain,
( r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_93]),c_0_22]),c_0_86])]) ).
cnf(c_0_96,plain,
( ~ r1(esk42_1(esk24_0),X1)
| r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| p2(X1)
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_94]),c_0_22]),c_0_89]),c_0_86])]),c_0_91]),c_0_95]) ).
cnf(c_0_97,negated_conjecture,
( r1(esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_96,c_0_88]) ).
cnf(c_0_98,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(X1,esk37_1(X1))
| r1(esk38_2(esk24_0,esk42_1(esk24_0)),esk35_3(X1,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_40,c_0_97]) ).
cnf(c_0_99,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(X1,esk37_1(X1))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk35_3(X1,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))) ),
inference(spm,[status(thm)],[c_0_42,c_0_97]) ).
cnf(c_0_100,plain,
( r1(esk24_0,esk37_1(esk24_0))
| r1(esk38_2(esk24_0,esk42_1(esk24_0)),esk35_3(esk24_0,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_86]),c_0_22])]) ).
cnf(c_0_101,plain,
( r1(esk24_0,esk37_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk35_3(esk24_0,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_86]),c_0_22])]) ).
cnf(c_0_102,plain,
( r1(esk24_0,esk37_1(esk24_0))
| r1(esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_100]),c_0_22]),c_0_86])]),c_0_101]) ).
cnf(c_0_103,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(esk24_0,esk37_1(esk24_0))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(X1,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_90,c_0_102]) ).
cnf(c_0_104,plain,
( ~ r1(esk39_2(esk24_0,esk42_1(esk24_0)),X1)
| r1(esk24_0,esk37_1(esk24_0))
| r1(X1,esk40_3(esk24_0,esk42_1(esk24_0),X1))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_100]),c_0_22]),c_0_86])]),c_0_101]) ).
cnf(c_0_105,plain,
( r1(esk24_0,esk37_1(esk24_0))
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_86]),c_0_22])]) ).
cnf(c_0_106,plain,
( ~ r1(esk39_2(esk24_0,esk42_1(esk24_0)),X1)
| r1(esk24_0,esk37_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),X1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_100]),c_0_22]),c_0_86])]),c_0_101]) ).
cnf(c_0_107,plain,
( r1(esk24_0,esk37_1(esk24_0))
| r1(esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))),esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,plain,
( r1(esk24_0,esk37_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))) ),
inference(spm,[status(thm)],[c_0_106,c_0_105]) ).
cnf(c_0_109,plain,
( ~ r1(esk42_1(esk24_0),X1)
| r1(esk24_0,esk37_1(esk24_0))
| p2(X1)
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_107]),c_0_22]),c_0_89]),c_0_86])]),c_0_102]),c_0_108]) ).
cnf(c_0_110,negated_conjecture,
( r1(esk24_0,esk37_1(esk24_0))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_109,c_0_88]) ).
cnf(c_0_111,negated_conjecture,
r1(esk24_0,esk37_1(esk24_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_110]),c_0_86])]) ).
cnf(c_0_112,plain,
r1(esk37_1(esk24_0),esk31_2(esk24_0,esk37_1(esk24_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_111]),c_0_22])]) ).
cnf(c_0_113,plain,
p2(esk31_2(esk24_0,esk37_1(esk24_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_111]),c_0_22])]) ).
cnf(c_0_114,plain,
( ~ r1(X2,X1)
| ~ r1(esk24_0,X2)
| r1(X1,esk35_3(esk24_0,X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_112]),c_0_22]),c_0_113])]) ).
cnf(c_0_115,plain,
( ~ r1(X1,X2)
| ~ r1(esk24_0,X1)
| p2(esk35_3(esk24_0,X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_112]),c_0_22]),c_0_113])]) ).
cnf(c_0_116,plain,
( ~ r1(esk42_1(esk24_0),X1)
| r1(X1,esk35_3(esk24_0,esk42_1(esk24_0),X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_86]) ).
cnf(c_0_117,plain,
( ~ r1(esk42_1(esk24_0),X1)
| p2(esk35_3(esk24_0,esk42_1(esk24_0),X1)) ),
inference(spm,[status(thm)],[c_0_115,c_0_86]) ).
cnf(c_0_118,negated_conjecture,
( r1(esk38_2(esk24_0,esk42_1(esk24_0)),esk35_3(esk24_0,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_116,c_0_97]) ).
cnf(c_0_119,negated_conjecture,
( p2(esk25_1(esk42_1(esk24_0)))
| p2(esk35_3(esk24_0,esk42_1(esk24_0),esk38_2(esk24_0,esk42_1(esk24_0)))) ),
inference(spm,[status(thm)],[c_0_117,c_0_97]) ).
cnf(c_0_120,plain,
( r1(esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_118]),c_0_22]),c_0_86])]),c_0_119]) ).
cnf(c_0_121,plain,
( ~ r1(X1,esk42_1(esk24_0))
| ~ epred1_1(X1)
| r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(X1,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_90,c_0_120]) ).
cnf(c_0_122,plain,
( ~ r1(esk39_2(esk24_0,esk42_1(esk24_0)),X1)
| r1(X1,esk40_3(esk24_0,esk42_1(esk24_0),X1))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_118]),c_0_22]),c_0_86])]),c_0_119]) ).
cnf(c_0_123,plain,
( r1(esk39_2(esk24_0,esk42_1(esk24_0)),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_86]),c_0_22])]) ).
cnf(c_0_124,plain,
( ~ r1(esk39_2(esk24_0,esk42_1(esk24_0)),X1)
| p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),X1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_118]),c_0_22]),c_0_86])]),c_0_119]) ).
cnf(c_0_125,plain,
( r1(esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))),esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0)))))
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,plain,
( p2(esk25_1(esk42_1(esk24_0)))
| p2(esk40_3(esk24_0,esk42_1(esk24_0),esk34_3(esk24_0,esk42_1(esk24_0),esk39_2(esk24_0,esk42_1(esk24_0))))) ),
inference(spm,[status(thm)],[c_0_124,c_0_123]) ).
cnf(c_0_127,plain,
( ~ r1(esk42_1(esk24_0),X1)
| p2(X1)
| p2(esk25_1(esk42_1(esk24_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_125]),c_0_22]),c_0_89]),c_0_86])]),c_0_120]),c_0_126]) ).
cnf(c_0_128,negated_conjecture,
p2(esk25_1(esk42_1(esk24_0))),
inference(spm,[status(thm)],[c_0_127,c_0_88]) ).
cnf(c_0_129,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_128]),c_0_86])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL652+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/5.45 % Computer : n026.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Mon Sep 21 00:49:11 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/5.52 Running first-order theorem proving
% 0.22/5.52 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
% 161.84/29.12 % Version: 3.5.1
% 161.84/29.12 % Preprocessing class: FSLSSMSSSSSNFFN.
% 161.84/29.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 161.84/29.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 161.84/29.12 % Starting new_bool_3 with 300s (1) cores
% 161.84/29.12 % Starting new_bool_1 with 300s (1) cores
% 161.84/29.12 % Starting sh5l with 300s (1) cores
% 161.84/29.12 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1007445 completed with status 0
% 161.84/29.12 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 161.84/29.12 % Preprocessing class: FSLSSMSSSSSNFFN.
% 161.84/29.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 161.84/29.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 161.84/29.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 161.84/29.12 % No SInE strategy applied
% 161.84/29.12 % Search class: FGHNF-FSLM32-SFFFFFNN
% 161.84/29.12 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 161.84/29.12 % Starting SubtermCWHack with 136s (1) cores
% 161.84/29.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 161.84/29.12 % Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 155s (1) cores
% 161.84/29.12 % Starting new_bool_3 with 155s (1) cores
% 161.84/29.12 % Starting new_bool_1 with 155s (1) cores
% 161.84/29.12 % H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with pid 1007454 completed with status 0
% 161.84/29.12 % Result found by H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 161.84/29.12 % Preprocessing class: FSLSSMSSSSSNFFN.
% 161.84/29.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 161.84/29.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 161.84/29.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 161.84/29.12 % No SInE strategy applied
% 161.84/29.12 % Search class: FGHNF-FSLM32-SFFFFFNN
% 161.84/29.12 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 161.84/29.12 % Starting SubtermCWHack with 136s (1) cores
% 161.84/29.12 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 161.84/29.12 % Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 155s (1) cores
% 161.84/29.12 % Preprocessing time : 0.004 s
% 161.84/29.12
% 161.84/29.12 % Proof found!
% 161.84/29.12 % SZS status Theorem
% 161.84/29.12 % SZS output start CNFRefutation
% See solution above
% 161.84/29.12 % Parsed axioms : 1
% 161.84/29.12 % Removed by relevancy pruning/SinE : 0
% 161.84/29.12 % Initial clauses : 111
% 161.84/29.12 % Removed in clause preprocessing : 0
% 161.84/29.12 % Initial clauses in saturation : 111
% 161.84/29.12 % Processed clauses : 14737
% 161.84/29.12 % ...of these trivial : 10
% 161.84/29.12 % ...subsumed : 1198
% 161.84/29.12 % ...remaining for further processing : 13529
% 161.84/29.12 % Other redundant clauses eliminated : 0
% 161.84/29.12 % Clauses deleted for lack of memory : 0
% 161.84/29.12 % Backward-subsumed : 1546
% 161.84/29.12 % Backward-rewritten : 2118
% 161.84/29.12 % Generated clauses : 31171
% 161.84/29.12 % ...of the previous two non-redundant : 31058
% 161.84/29.12 % ...aggressively subsumed : 0
% 161.84/29.12 % Contextual simplify-reflections : 528
% 161.84/29.12 % Paramodulations : 31171
% 161.84/29.12 % Factorizations : 0
% 161.84/29.12 % NegExts : 0
% 161.84/29.12 % Equation resolutions : 0
% 161.84/29.12 % Disequality decompositions : 0
% 161.84/29.12 % Total rewrite steps : 4174
% 161.84/29.12 % ...of those cached : 4116
% 161.84/29.12 % Propositional unsat checks : 0
% 161.84/29.12 % Propositional check models : 0
% 161.84/29.12 % Propositional check unsatisfiable : 0
% 161.84/29.12 % Propositional clauses : 0
% 161.84/29.12 % Propositional clauses after purity: 0
% 161.84/29.12 % Propositional unsat core size : 0
% 161.84/29.12 % Propositional preprocessing time : 0.000
% 161.84/29.12 % Propositional encoding time : 0.000
% 161.84/29.12 % Propositional solver time : 0.000
% 161.84/29.12 % Success case prop preproc time : 0.000
% 161.84/29.12 % Success case prop encoding time : 0.000
% 161.84/29.12 % Success case prop solver time : 0.000
% 161.84/29.12 % Current number of processed clauses : 9865
% 161.84/29.12 % Positive orientable unit clauses : 98
% 161.84/29.12 % Positive unorientable unit clauses: 0
% 161.84/29.12 % Negative unit clauses : 8
% 161.84/29.12 % Non-unit-clauses : 9759
% 161.84/29.12 % Current number of unprocessed clauses: 15530
% 161.84/29.12 % ...number of literals in the above : 121607
% 161.84/29.12 % Current number of archived formulas : 0
% 161.84/29.12 % Current number of archived clauses : 3664
% 161.84/29.12 % Clause-clause subsumption calls (NU) : 22097330
% 161.84/29.12 % Rec. Clause-clause subsumption calls : 691844
% 161.84/29.12 % Non-unit clause-clause subsumptions : 3259
% 161.84/29.12 % Unit Clause-clause subsumption calls : 138942
% 161.84/29.12 % Rewrite failures with RHS unbound : 0
% 161.84/29.12 % BW rewrite match attempts : 47
% 161.84/29.12 % BW rewrite match successes : 21
% 161.84/29.12 % Condensation attempts : 0
% 161.84/29.12 % Condensation successes : 0
% 161.84/29.12 % Termbank termtop insertions : 1435658
% 161.84/29.12 % Search garbage collected termcells : 2176
% 161.84/29.12
% 161.84/29.12 % -------------------------------------------------
% 161.84/29.12 % User time : 22.293 s
% 161.84/29.12 % System time : 0.091 s
% 161.84/29.12 % Total time : 22.385 s
% 161.84/29.12 % Maximum resident set size: 3908 pages
% 161.84/29.12
% 161.84/29.12 % -------------------------------------------------
% 161.84/29.12 % User time : 113.657 s
% 161.84/29.12 % System time : 1.305 s
% 161.84/29.12 % Total time : 114.962 s
% 161.84/29.12 % Maximum resident set size: 4864 pages
% 161.84/29.12 % E exiting
%------------------------------------------------------------------------------