%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL652+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:54:18 AM UTC 2026
% Result : Theorem 5.15s 1.66s
% Output : Refutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 36
% Syntax : Number of formulae : 317 ( 32 unt; 35 def)
% Number of atoms : 3010 ( 0 equ)
% Maximal formula atoms : 186 ( 9 avg)
% Number of connectives : 5253 (2560 ~;2118 |; 548 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 41 ( 40 usr; 28 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 21 con; 0-1 aty)
% Number of variables : 1610 ( 0 sgn1357 !; 253 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) ) ) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) ) ) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) ) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ( ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ~ ! [X12] :
( ~ r1(X11,X12)
| ~ p1(X12) ) ) )
& ! [X13] :
( ~ r1(X9,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ~ p1(X14) ) ) ) )
| ~ ! [X15] :
( ~ r1(X8,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ( ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| ~ p1(X19) ) ) )
& ! [X20] :
( ~ r1(X16,X20)
| ~ ! [X21] :
( ~ r1(X20,X21)
| ~ p1(X21) ) ) ) )
| ~ ! [X22] :
( ~ r1(X15,X22)
| ~ ( ~ ! [X23] :
( ~ r1(X22,X23)
| ~ ( ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) ) )
& ! [X27] :
( ~ r1(X23,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ~ p1(X28) ) ) ) )
| ~ ! [X29] :
( ~ r1(X22,X29)
| ~ ( ~ ! [X30] :
( ~ r1(X29,X30)
| ~ ( ~ ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ~ p1(X33) ) ) )
& ! [X34] :
( ~ r1(X30,X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ~ p1(X35) ) ) ) )
| ~ ! [X36] :
( ~ r1(X29,X36)
| ~ ( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| p3(X39) )
| ~ p2(X38) ) )
| ~ ! [X40] :
( ~ r1(X36,X40)
| ~ ( ~ ! [X41] :
( ~ r1(X40,X41)
| ~ ( ! [X42] :
( ~ r1(X41,X42)
| p3(X42) )
| ~ p2(X41) ) )
& p2(X40)
& ~ ! [X43] :
( ~ r1(X40,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ~ p2(X45) ) ) ) ) )
| ( ~ ! [X46] :
( ~ r1(X36,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p3(X49) )
| ~ p2(X48) ) ) )
& ! [X50] :
( ~ r1(X36,X50)
| ~ ! [X51] :
( ~ r1(X50,X51)
| ~ p2(X51) ) ) )
| ~ ! [X52] :
( ~ r1(X36,X52)
| ~ ( ! [X53] :
( ~ r1(X52,X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ~ p2(X54) ) )
& ! [X55] :
( ~ r1(X52,X55)
| ~ ! [X56] :
( ~ r1(X55,X56)
| ~ ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p3(X58) )
| ~ p2(X57) ) ) ) ) )
| ( ! [X59] :
( ~ r1(X36,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p3(X60) )
| ~ p2(X59) )
& ! [X61] :
( ~ r1(X36,X61)
| ~ ! [X62] :
( ~ r1(X61,X62)
| ~ p2(X62) ) ) ) ) )
| ~ ! [X63] :
( ~ r1(X29,X63)
| ~ ( ~ ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
& ! [X66] :
( ~ r1(X63,X66)
| p1(X66) ) ) ) ) )
| ~ ! [X67] :
( ~ r1(X22,X67)
| ~ ( ~ ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| p1(X69) ) )
& ! [X70] :
( ~ r1(X67,X70)
| p1(X70) ) ) ) ) )
| ~ ! [X71] :
( ~ r1(X15,X71)
| ~ ( ~ ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) )
& ! [X74] :
( ~ r1(X71,X74)
| p1(X74) ) ) ) ) )
| ~ ! [X75] :
( ~ r1(X8,X75)
| ~ ( ~ ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77) ) )
& ! [X78] :
( ~ r1(X75,X78)
| p1(X78) ) ) ) ) )
| ~ ! [X79] :
( ~ r1(X0,X79)
| ~ ( ~ ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| p1(X81) ) )
& ! [X82] :
( ~ r1(X79,X82)
| p1(X82) ) ) )
| ! [X83] :
( ~ r1(X0,X83)
| ! [X84] :
( ~ r1(X83,X84)
| ~ ! [X85] :
( ~ r1(X84,X85)
| p1(X85) ) )
| ! [X86] :
( ~ r1(X83,X86)
| p1(X86) ) )
| ! [X87] :
( ~ r1(X0,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] :
( ~ r1(X88,X89)
| ~ ! [X90] :
( ~ r1(X89,X90)
| p1(X90) ) )
| ! [X91] :
( ~ r1(X88,X91)
| p1(X91) ) )
| ! [X92] :
( ~ r1(X87,X92)
| ! [X93] :
( ~ r1(X92,X93)
| ! [X94] :
( ~ r1(X93,X94)
| ~ ! [X95] :
( ~ r1(X94,X95)
| p1(X95) ) )
| ! [X96] :
( ~ r1(X93,X96)
| p1(X96) ) )
| ! [X97] :
( ~ r1(X92,X97)
| ! [X98] :
( ~ r1(X97,X98)
| ! [X99] :
( ~ r1(X98,X99)
| ~ ! [X100] :
( ~ r1(X99,X100)
| p1(X100) ) )
| ! [X101] :
( ~ r1(X98,X101)
| p1(X101) ) )
| ! [X102] :
( ~ r1(X97,X102)
| ! [X103] :
( ~ r1(X102,X103)
| ! [X104] :
( ~ r1(X103,X104)
| ~ ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) )
| ! [X106] :
( ~ r1(X103,X106)
| p1(X106) ) )
| ! [X107] :
( ~ r1(X102,X107)
| ~ ! [X108] :
( ~ r1(X107,X108)
| ~ ! [X109] :
( ~ r1(X108,X109)
| p2(X109) ) ) )
| ~ ! [X110] :
( ~ r1(X102,X110)
| ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ~ r1(X111,X112)
| ~ p1(X112) ) )
| ~ ! [X113] :
( ~ r1(X110,X113)
| ~ p1(X113) ) ) )
| ~ ! [X114] :
( ~ r1(X97,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ~ p1(X116) ) )
| ~ ! [X117] :
( ~ r1(X114,X117)
| ~ p1(X117) ) ) )
| ~ ! [X118] :
( ~ r1(X92,X118)
| ! [X119] :
( ~ r1(X118,X119)
| ! [X120] :
( ~ r1(X119,X120)
| ~ p1(X120) ) )
| ~ ! [X121] :
( ~ r1(X118,X121)
| ~ p1(X121) ) ) )
| ~ ! [X122] :
( ~ r1(X87,X122)
| ! [X123] :
( ~ r1(X122,X123)
| ! [X124] :
( ~ r1(X123,X124)
| ~ p1(X124) ) )
| ~ ! [X125] :
( ~ r1(X122,X125)
| ~ p1(X125) ) ) )
| ~ ! [X126] :
( ~ r1(X0,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ~ p1(X128) ) )
| ~ ! [X129] :
( ~ r1(X126,X129)
| ~ p1(X129) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) ) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ( ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ~ ! [X12] :
( ~ r1(X11,X12)
| ~ p1(X12) ) ) )
& ! [X13] :
( ~ r1(X9,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ~ p1(X14) ) ) ) )
| ~ ! [X15] :
( ~ r1(X8,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ( ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| ~ p1(X19) ) ) )
& ! [X20] :
( ~ r1(X16,X20)
| ~ ! [X21] :
( ~ r1(X20,X21)
| ~ p1(X21) ) ) ) )
| ~ ! [X22] :
( ~ r1(X15,X22)
| ~ ( ~ ! [X23] :
( ~ r1(X22,X23)
| ~ ( ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) ) )
& ! [X27] :
( ~ r1(X23,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ~ p1(X28) ) ) ) )
| ~ ! [X29] :
( ~ r1(X22,X29)
| ~ ( ~ ! [X30] :
( ~ r1(X29,X30)
| ~ ( ~ ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ~ p1(X33) ) ) )
& ! [X34] :
( ~ r1(X30,X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ~ p1(X35) ) ) ) )
| ~ ! [X36] :
( ~ r1(X29,X36)
| ~ ( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| p3(X39) )
| ~ p2(X38) ) )
| ~ ! [X40] :
( ~ r1(X36,X40)
| ~ ( ~ ! [X41] :
( ~ r1(X40,X41)
| ~ ( ! [X42] :
( ~ r1(X41,X42)
| p3(X42) )
| ~ p2(X41) ) )
& p2(X40)
& ~ ! [X43] :
( ~ r1(X40,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ~ p2(X45) ) ) ) ) )
| ( ~ ! [X46] :
( ~ r1(X36,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p3(X49) )
| ~ p2(X48) ) ) )
& ! [X50] :
( ~ r1(X36,X50)
| ~ ! [X51] :
( ~ r1(X50,X51)
| ~ p2(X51) ) ) )
| ~ ! [X52] :
( ~ r1(X36,X52)
| ~ ( ! [X53] :
( ~ r1(X52,X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ~ p2(X54) ) )
& ! [X55] :
( ~ r1(X52,X55)
| ~ ! [X56] :
( ~ r1(X55,X56)
| ~ ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p3(X58) )
| ~ p2(X57) ) ) ) ) )
| ( ! [X59] :
( ~ r1(X36,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p3(X60) )
| ~ p2(X59) )
& ! [X61] :
( ~ r1(X36,X61)
| ~ ! [X62] :
( ~ r1(X61,X62)
| ~ p2(X62) ) ) ) ) )
| ~ ! [X63] :
( ~ r1(X29,X63)
| ~ ( ~ ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
& ! [X66] :
( ~ r1(X63,X66)
| p1(X66) ) ) ) ) )
| ~ ! [X67] :
( ~ r1(X22,X67)
| ~ ( ~ ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| p1(X69) ) )
& ! [X70] :
( ~ r1(X67,X70)
| p1(X70) ) ) ) ) )
| ~ ! [X71] :
( ~ r1(X15,X71)
| ~ ( ~ ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) )
& ! [X74] :
( ~ r1(X71,X74)
| p1(X74) ) ) ) ) )
| ~ ! [X75] :
( ~ r1(X8,X75)
| ~ ( ~ ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77) ) )
& ! [X78] :
( ~ r1(X75,X78)
| p1(X78) ) ) ) ) )
| ~ ! [X79] :
( ~ r1(X0,X79)
| ~ ( ~ ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| p1(X81) ) )
& ! [X82] :
( ~ r1(X79,X82)
| p1(X82) ) ) )
| ! [X83] :
( ~ r1(X0,X83)
| ! [X84] :
( ~ r1(X83,X84)
| ~ ! [X85] :
( ~ r1(X84,X85)
| p1(X85) ) )
| ! [X86] :
( ~ r1(X83,X86)
| p1(X86) ) )
| ! [X87] :
( ~ r1(X0,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] :
( ~ r1(X88,X89)
| ~ ! [X90] :
( ~ r1(X89,X90)
| p1(X90) ) )
| ! [X91] :
( ~ r1(X88,X91)
| p1(X91) ) )
| ! [X92] :
( ~ r1(X87,X92)
| ! [X93] :
( ~ r1(X92,X93)
| ! [X94] :
( ~ r1(X93,X94)
| ~ ! [X95] :
( ~ r1(X94,X95)
| p1(X95) ) )
| ! [X96] :
( ~ r1(X93,X96)
| p1(X96) ) )
| ! [X97] :
( ~ r1(X92,X97)
| ! [X98] :
( ~ r1(X97,X98)
| ! [X99] :
( ~ r1(X98,X99)
| ~ ! [X100] :
( ~ r1(X99,X100)
| p1(X100) ) )
| ! [X101] :
( ~ r1(X98,X101)
| p1(X101) ) )
| ! [X102] :
( ~ r1(X97,X102)
| ! [X103] :
( ~ r1(X102,X103)
| ! [X104] :
( ~ r1(X103,X104)
| ~ ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) )
| ! [X106] :
( ~ r1(X103,X106)
| p1(X106) ) )
| ! [X107] :
( ~ r1(X102,X107)
| ~ ! [X108] :
( ~ r1(X107,X108)
| ~ ! [X109] :
( ~ r1(X108,X109)
| p2(X109) ) ) )
| ~ ! [X110] :
( ~ r1(X102,X110)
| ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ~ r1(X111,X112)
| ~ p1(X112) ) )
| ~ ! [X113] :
( ~ r1(X110,X113)
| ~ p1(X113) ) ) )
| ~ ! [X114] :
( ~ r1(X97,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ~ p1(X116) ) )
| ~ ! [X117] :
( ~ r1(X114,X117)
| ~ p1(X117) ) ) )
| ~ ! [X118] :
( ~ r1(X92,X118)
| ! [X119] :
( ~ r1(X118,X119)
| ! [X120] :
( ~ r1(X119,X120)
| ~ p1(X120) ) )
| ~ ! [X121] :
( ~ r1(X118,X121)
| ~ p1(X121) ) ) )
| ~ ! [X122] :
( ~ r1(X87,X122)
| ! [X123] :
( ~ r1(X122,X123)
| ! [X124] :
( ~ r1(X123,X124)
| ~ p1(X124) ) )
| ~ ! [X125] :
( ~ r1(X122,X125)
| ~ p1(X125) ) ) )
| ~ ! [X126] :
( ~ r1(X0,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ~ p1(X128) ) )
| ~ ! [X129] :
( ~ r1(X126,X129)
| ~ p1(X129) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) ) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ( ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ~ ! [X12] :
( ~ r1(X11,X12)
| ~ p1(X12) ) ) )
& ! [X13] :
( ~ r1(X9,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ~ p1(X14) ) ) ) )
| ~ ! [X15] :
( ~ r1(X8,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ( ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| ~ p1(X19) ) ) )
& ! [X20] :
( ~ r1(X16,X20)
| ~ ! [X21] :
( ~ r1(X20,X21)
| ~ p1(X21) ) ) ) )
| ~ ! [X22] :
( ~ r1(X15,X22)
| ~ ( ~ ! [X23] :
( ~ r1(X22,X23)
| ~ ( ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) ) )
& ! [X27] :
( ~ r1(X23,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ~ p1(X28) ) ) ) )
| ~ ! [X29] :
( ~ r1(X22,X29)
| ~ ( ~ ! [X30] :
( ~ r1(X29,X30)
| ~ ( ~ ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ~ p1(X33) ) ) )
& ! [X34] :
( ~ r1(X30,X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ~ p1(X35) ) ) ) )
| ~ ! [X36] :
( ~ r1(X29,X36)
| ~ ( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ ! [X38] :
( ~ r1(X37,X38)
| ! [X39] : ~ r1(X38,X39)
| ~ p2(X38) ) )
| ~ ! [X40] :
( ~ r1(X36,X40)
| ~ ( ~ ! [X41] :
( ~ r1(X40,X41)
| ~ ( ! [X42] : ~ r1(X41,X42)
| ~ p2(X41) ) )
& p2(X40)
& ~ ! [X43] :
( ~ r1(X40,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ~ p2(X45) ) ) ) ) )
| ( ~ ! [X46] :
( ~ r1(X36,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] : ~ r1(X48,X49)
| ~ p2(X48) ) ) )
& ! [X50] :
( ~ r1(X36,X50)
| ~ ! [X51] :
( ~ r1(X50,X51)
| ~ p2(X51) ) ) )
| ~ ! [X52] :
( ~ r1(X36,X52)
| ~ ( ! [X53] :
( ~ r1(X52,X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ~ p2(X54) ) )
& ! [X55] :
( ~ r1(X52,X55)
| ~ ! [X56] :
( ~ r1(X55,X56)
| ~ ! [X57] :
( ~ r1(X56,X57)
| ! [X58] : ~ r1(X57,X58)
| ~ p2(X57) ) ) ) ) )
| ( ! [X59] :
( ~ r1(X36,X59)
| ! [X60] : ~ r1(X59,X60)
| ~ p2(X59) )
& ! [X61] :
( ~ r1(X36,X61)
| ~ ! [X62] :
( ~ r1(X61,X62)
| ~ p2(X62) ) ) ) ) )
| ~ ! [X63] :
( ~ r1(X29,X63)
| ~ ( ~ ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
& ! [X66] :
( ~ r1(X63,X66)
| p1(X66) ) ) ) ) )
| ~ ! [X67] :
( ~ r1(X22,X67)
| ~ ( ~ ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| p1(X69) ) )
& ! [X70] :
( ~ r1(X67,X70)
| p1(X70) ) ) ) ) )
| ~ ! [X71] :
( ~ r1(X15,X71)
| ~ ( ~ ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) )
& ! [X74] :
( ~ r1(X71,X74)
| p1(X74) ) ) ) ) )
| ~ ! [X75] :
( ~ r1(X8,X75)
| ~ ( ~ ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77) ) )
& ! [X78] :
( ~ r1(X75,X78)
| p1(X78) ) ) ) ) )
| ~ ! [X79] :
( ~ r1(X0,X79)
| ~ ( ~ ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| p1(X81) ) )
& ! [X82] :
( ~ r1(X79,X82)
| p1(X82) ) ) )
| ! [X83] :
( ~ r1(X0,X83)
| ! [X84] :
( ~ r1(X83,X84)
| ~ ! [X85] :
( ~ r1(X84,X85)
| p1(X85) ) )
| ! [X86] :
( ~ r1(X83,X86)
| p1(X86) ) )
| ! [X87] :
( ~ r1(X0,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] :
( ~ r1(X88,X89)
| ~ ! [X90] :
( ~ r1(X89,X90)
| p1(X90) ) )
| ! [X91] :
( ~ r1(X88,X91)
| p1(X91) ) )
| ! [X92] :
( ~ r1(X87,X92)
| ! [X93] :
( ~ r1(X92,X93)
| ! [X94] :
( ~ r1(X93,X94)
| ~ ! [X95] :
( ~ r1(X94,X95)
| p1(X95) ) )
| ! [X96] :
( ~ r1(X93,X96)
| p1(X96) ) )
| ! [X97] :
( ~ r1(X92,X97)
| ! [X98] :
( ~ r1(X97,X98)
| ! [X99] :
( ~ r1(X98,X99)
| ~ ! [X100] :
( ~ r1(X99,X100)
| p1(X100) ) )
| ! [X101] :
( ~ r1(X98,X101)
| p1(X101) ) )
| ! [X102] :
( ~ r1(X97,X102)
| ! [X103] :
( ~ r1(X102,X103)
| ! [X104] :
( ~ r1(X103,X104)
| ~ ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) )
| ! [X106] :
( ~ r1(X103,X106)
| p1(X106) ) )
| ! [X107] :
( ~ r1(X102,X107)
| ~ ! [X108] :
( ~ r1(X107,X108)
| ~ ! [X109] :
( ~ r1(X108,X109)
| p2(X109) ) ) )
| ~ ! [X110] :
( ~ r1(X102,X110)
| ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ~ r1(X111,X112)
| ~ p1(X112) ) )
| ~ ! [X113] :
( ~ r1(X110,X113)
| ~ p1(X113) ) ) )
| ~ ! [X114] :
( ~ r1(X97,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ~ p1(X116) ) )
| ~ ! [X117] :
( ~ r1(X114,X117)
| ~ p1(X117) ) ) )
| ~ ! [X118] :
( ~ r1(X92,X118)
| ! [X119] :
( ~ r1(X118,X119)
| ! [X120] :
( ~ r1(X119,X120)
| ~ p1(X120) ) )
| ~ ! [X121] :
( ~ r1(X118,X121)
| ~ p1(X121) ) ) )
| ~ ! [X122] :
( ~ r1(X87,X122)
| ! [X123] :
( ~ r1(X122,X123)
| ! [X124] :
( ~ r1(X123,X124)
| ~ p1(X124) ) )
| ~ ! [X125] :
( ~ r1(X122,X125)
| ~ p1(X125) ) ) )
| ~ ! [X126] :
( ~ r1(X0,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ~ p1(X128) ) )
| ~ ! [X129] :
( ~ r1(X126,X129)
| ~ p1(X129) ) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) ) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ( ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ~ ! [X12] :
( ~ r1(X11,X12)
| ~ p1(X12) ) ) )
& ! [X13] :
( ~ r1(X9,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ~ p1(X14) ) ) ) )
| ~ ! [X15] :
( ~ r1(X8,X15)
| ~ ( ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ( ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| ~ p1(X19) ) ) )
& ! [X20] :
( ~ r1(X16,X20)
| ~ ! [X21] :
( ~ r1(X20,X21)
| ~ p1(X21) ) ) ) )
| ~ ! [X22] :
( ~ r1(X15,X22)
| ~ ( ~ ! [X23] :
( ~ r1(X22,X23)
| ~ ( ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ~ p1(X26) ) ) )
& ! [X27] :
( ~ r1(X23,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ~ p1(X28) ) ) ) )
| ~ ! [X29] :
( ~ r1(X22,X29)
| ~ ( ~ ! [X30] :
( ~ r1(X29,X30)
| ~ ( ~ ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ~ ! [X33] :
( ~ r1(X32,X33)
| ~ p1(X33) ) ) )
& ! [X34] :
( ~ r1(X30,X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ~ p1(X35) ) ) ) )
| ~ ! [X36] :
( ~ r1(X29,X36)
| ~ ( ~ ! [X37] :
( ~ r1(X36,X37)
| ~ ! [X38] :
( ~ r1(X37,X38)
| ! [X39] : ~ r1(X38,X39)
| ~ p2(X38) ) )
| ~ ! [X40] :
( ~ r1(X36,X40)
| ~ ( ~ ! [X41] :
( ~ r1(X40,X41)
| ~ ( ! [X42] : ~ r1(X41,X42)
| ~ p2(X41) ) )
& p2(X40)
& ~ ! [X43] :
( ~ r1(X40,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ~ p2(X45) ) ) ) ) )
| ( ~ ! [X46] :
( ~ r1(X36,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] : ~ r1(X48,X49)
| ~ p2(X48) ) ) )
& ! [X50] :
( ~ r1(X36,X50)
| ~ ! [X51] :
( ~ r1(X50,X51)
| ~ p2(X51) ) ) )
| ~ ! [X52] :
( ~ r1(X36,X52)
| ~ ( ! [X53] :
( ~ r1(X52,X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ~ p2(X54) ) )
& ! [X55] :
( ~ r1(X52,X55)
| ~ ! [X56] :
( ~ r1(X55,X56)
| ~ ! [X57] :
( ~ r1(X56,X57)
| ! [X58] : ~ r1(X57,X58)
| ~ p2(X57) ) ) ) ) )
| ( ! [X59] :
( ~ r1(X36,X59)
| ! [X60] : ~ r1(X59,X60)
| ~ p2(X59) )
& ! [X61] :
( ~ r1(X36,X61)
| ~ ! [X62] :
( ~ r1(X61,X62)
| ~ p2(X62) ) ) ) ) )
| ~ ! [X63] :
( ~ r1(X29,X63)
| ~ ( ~ ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
& ! [X66] :
( ~ r1(X63,X66)
| p1(X66) ) ) ) ) )
| ~ ! [X67] :
( ~ r1(X22,X67)
| ~ ( ~ ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| p1(X69) ) )
& ! [X70] :
( ~ r1(X67,X70)
| p1(X70) ) ) ) ) )
| ~ ! [X71] :
( ~ r1(X15,X71)
| ~ ( ~ ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) )
& ! [X74] :
( ~ r1(X71,X74)
| p1(X74) ) ) ) ) )
| ~ ! [X75] :
( ~ r1(X8,X75)
| ~ ( ~ ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77) ) )
& ! [X78] :
( ~ r1(X75,X78)
| p1(X78) ) ) ) ) )
| ~ ! [X79] :
( ~ r1(X0,X79)
| ~ ( ~ ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| p1(X81) ) )
& ! [X82] :
( ~ r1(X79,X82)
| p1(X82) ) ) )
| ! [X83] :
( ~ r1(X0,X83)
| ! [X84] :
( ~ r1(X83,X84)
| ~ ! [X85] :
( ~ r1(X84,X85)
| p1(X85) ) )
| ! [X86] :
( ~ r1(X83,X86)
| p1(X86) ) )
| ! [X87] :
( ~ r1(X0,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] :
( ~ r1(X88,X89)
| ~ ! [X90] :
( ~ r1(X89,X90)
| p1(X90) ) )
| ! [X91] :
( ~ r1(X88,X91)
| p1(X91) ) )
| ! [X92] :
( ~ r1(X87,X92)
| ! [X93] :
( ~ r1(X92,X93)
| ! [X94] :
( ~ r1(X93,X94)
| ~ ! [X95] :
( ~ r1(X94,X95)
| p1(X95) ) )
| ! [X96] :
( ~ r1(X93,X96)
| p1(X96) ) )
| ! [X97] :
( ~ r1(X92,X97)
| ! [X98] :
( ~ r1(X97,X98)
| ! [X99] :
( ~ r1(X98,X99)
| ~ ! [X100] :
( ~ r1(X99,X100)
| p1(X100) ) )
| ! [X101] :
( ~ r1(X98,X101)
| p1(X101) ) )
| ! [X102] :
( ~ r1(X97,X102)
| ! [X103] :
( ~ r1(X102,X103)
| ! [X104] :
( ~ r1(X103,X104)
| ~ ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) )
| ! [X106] :
( ~ r1(X103,X106)
| p1(X106) ) )
| ! [X107] :
( ~ r1(X102,X107)
| ~ ! [X108] :
( ~ r1(X107,X108)
| ~ ! [X109] :
( ~ r1(X108,X109)
| p2(X109) ) ) )
| ~ ! [X110] :
( ~ r1(X102,X110)
| ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ~ r1(X111,X112)
| ~ p1(X112) ) )
| ~ ! [X113] :
( ~ r1(X110,X113)
| ~ p1(X113) ) ) )
| ~ ! [X114] :
( ~ r1(X97,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ~ p1(X116) ) )
| ~ ! [X117] :
( ~ r1(X114,X117)
| ~ p1(X117) ) ) )
| ~ ! [X118] :
( ~ r1(X92,X118)
| ! [X119] :
( ~ r1(X118,X119)
| ! [X120] :
( ~ r1(X119,X120)
| ~ p1(X120) ) )
| ~ ! [X121] :
( ~ r1(X118,X121)
| ~ p1(X121) ) ) )
| ~ ! [X122] :
( ~ r1(X87,X122)
| ! [X123] :
( ~ r1(X122,X123)
| ! [X124] :
( ~ r1(X123,X124)
| ~ p1(X124) ) )
| ~ ! [X125] :
( ~ r1(X122,X125)
| ~ p1(X125) ) ) )
| ~ ! [X126] :
( ~ r1(X0,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ~ p1(X128) ) )
| ~ ! [X129] :
( ~ r1(X126,X129)
| ~ p1(X129) ) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ? [X5] :
( r1(X4,X5)
& p1(X5) ) ) )
| ? [X6] :
( r1(X2,X6)
& ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& ! [X8] :
( ~ r1(X0,X8)
| ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ? [X12] :
( r1(X11,X12)
& p1(X12) ) ) )
| ? [X13] :
( r1(X9,X13)
& ! [X14] :
( ~ r1(X13,X14)
| ~ p1(X14) ) ) )
& ! [X15] :
( ~ r1(X8,X15)
| ( ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ? [X19] :
( r1(X18,X19)
& p1(X19) ) ) )
| ? [X20] :
( r1(X16,X20)
& ! [X21] :
( ~ r1(X20,X21)
| ~ p1(X21) ) ) )
& ! [X22] :
( ~ r1(X15,X22)
| ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ? [X26] :
( r1(X25,X26)
& p1(X26) ) ) )
| ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| ~ p1(X28) ) ) )
& ! [X29] :
( ~ r1(X22,X29)
| ( ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ? [X33] :
( r1(X32,X33)
& p1(X33) ) ) )
| ? [X34] :
( r1(X30,X34)
& ! [X35] :
( ~ r1(X34,X35)
| ~ p1(X35) ) ) )
& ! [X36] :
( ~ r1(X29,X36)
| ( ! [X37] :
( ~ r1(X36,X37)
| ? [X38] :
( r1(X37,X38)
& ? [X39] : r1(X38,X39)
& p2(X38) ) )
& ! [X40] :
( ~ r1(X36,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ( ? [X42] : r1(X41,X42)
& p2(X41) ) )
| ~ p2(X40)
| ! [X43] :
( ~ r1(X40,X43)
| ? [X44] :
( r1(X43,X44)
& ! [X45] :
( ~ r1(X44,X45)
| ~ p2(X45) ) ) ) )
& ( ! [X46] :
( ~ r1(X36,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] : r1(X48,X49)
& p2(X48) ) ) )
| ? [X50] :
( r1(X36,X50)
& ! [X51] :
( ~ r1(X50,X51)
| ~ p2(X51) ) ) )
& ! [X52] :
( ~ r1(X36,X52)
| ? [X53] :
( r1(X52,X53)
& ! [X54] :
( ~ r1(X53,X54)
| ~ p2(X54) ) )
| ? [X55] :
( r1(X52,X55)
& ! [X56] :
( ~ r1(X55,X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] : r1(X57,X58)
& p2(X57) ) ) ) )
& ( ? [X59] :
( r1(X36,X59)
& ? [X60] : r1(X59,X60)
& p2(X59) )
| ? [X61] :
( r1(X36,X61)
& ! [X62] :
( ~ r1(X61,X62)
| ~ p2(X62) ) ) ) ) )
& ! [X63] :
( ~ r1(X29,X63)
| ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
| ? [X66] :
( r1(X63,X66)
& ~ p1(X66) ) ) ) )
& ! [X67] :
( ~ r1(X22,X67)
| ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| p1(X69) ) )
| ? [X70] :
( r1(X67,X70)
& ~ p1(X70) ) ) ) )
& ! [X71] :
( ~ r1(X15,X71)
| ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) )
| ? [X74] :
( r1(X71,X74)
& ~ p1(X74) ) ) ) )
& ! [X75] :
( ~ r1(X8,X75)
| ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77) ) )
| ? [X78] :
( r1(X75,X78)
& ~ p1(X78) ) ) ) )
& ! [X79] :
( ~ r1(X0,X79)
| ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| p1(X81) ) )
| ? [X82] :
( r1(X79,X82)
& ~ p1(X82) ) )
& ? [X83] :
( r1(X0,X83)
& ? [X84] :
( r1(X83,X84)
& ! [X85] :
( ~ r1(X84,X85)
| p1(X85) ) )
& ? [X86] :
( r1(X83,X86)
& ~ p1(X86) ) )
& ? [X87] :
( r1(X0,X87)
& ? [X88] :
( r1(X87,X88)
& ? [X89] :
( r1(X88,X89)
& ! [X90] :
( ~ r1(X89,X90)
| p1(X90) ) )
& ? [X91] :
( r1(X88,X91)
& ~ p1(X91) ) )
& ? [X92] :
( r1(X87,X92)
& ? [X93] :
( r1(X92,X93)
& ? [X94] :
( r1(X93,X94)
& ! [X95] :
( ~ r1(X94,X95)
| p1(X95) ) )
& ? [X96] :
( r1(X93,X96)
& ~ p1(X96) ) )
& ? [X97] :
( r1(X92,X97)
& ? [X98] :
( r1(X97,X98)
& ? [X99] :
( r1(X98,X99)
& ! [X100] :
( ~ r1(X99,X100)
| p1(X100) ) )
& ? [X101] :
( r1(X98,X101)
& ~ p1(X101) ) )
& ? [X102] :
( r1(X97,X102)
& ? [X103] :
( r1(X102,X103)
& ? [X104] :
( r1(X103,X104)
& ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) )
& ? [X106] :
( r1(X103,X106)
& ~ p1(X106) ) )
& ? [X107] :
( r1(X102,X107)
& ! [X108] :
( ~ r1(X107,X108)
| ? [X109] :
( r1(X108,X109)
& ~ p2(X109) ) ) )
& ! [X110] :
( ~ r1(X102,X110)
| ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ~ r1(X111,X112)
| ~ p1(X112) ) )
| ? [X113] :
( r1(X110,X113)
& p1(X113) ) ) )
& ! [X114] :
( ~ r1(X97,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ~ p1(X116) ) )
| ? [X117] :
( r1(X114,X117)
& p1(X117) ) ) )
& ! [X118] :
( ~ r1(X92,X118)
| ! [X119] :
( ~ r1(X118,X119)
| ! [X120] :
( ~ r1(X119,X120)
| ~ p1(X120) ) )
| ? [X121] :
( r1(X118,X121)
& p1(X121) ) ) )
& ! [X122] :
( ~ r1(X87,X122)
| ! [X123] :
( ~ r1(X122,X123)
| ! [X124] :
( ~ r1(X123,X124)
| ~ p1(X124) ) )
| ? [X125] :
( r1(X122,X125)
& p1(X125) ) ) )
& ! [X126] :
( ~ r1(X0,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ~ p1(X128) ) )
| ? [X129] :
( r1(X126,X129)
& p1(X129) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ? [X5] :
( r1(X4,X5)
& p1(X5) ) ) )
| ? [X6] :
( r1(X2,X6)
& ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& ! [X8] :
( ~ r1(X0,X8)
| ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ? [X12] :
( r1(X11,X12)
& p1(X12) ) ) )
| ? [X13] :
( r1(X9,X13)
& ! [X14] :
( ~ r1(X13,X14)
| ~ p1(X14) ) ) )
& ! [X15] :
( ~ r1(X8,X15)
| ( ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ? [X19] :
( r1(X18,X19)
& p1(X19) ) ) )
| ? [X20] :
( r1(X16,X20)
& ! [X21] :
( ~ r1(X20,X21)
| ~ p1(X21) ) ) )
& ! [X22] :
( ~ r1(X15,X22)
| ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ? [X26] :
( r1(X25,X26)
& p1(X26) ) ) )
| ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| ~ p1(X28) ) ) )
& ! [X29] :
( ~ r1(X22,X29)
| ( ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ? [X33] :
( r1(X32,X33)
& p1(X33) ) ) )
| ? [X34] :
( r1(X30,X34)
& ! [X35] :
( ~ r1(X34,X35)
| ~ p1(X35) ) ) )
& ! [X36] :
( ~ r1(X29,X36)
| ( ! [X37] :
( ~ r1(X36,X37)
| ? [X38] :
( r1(X37,X38)
& ? [X39] : r1(X38,X39)
& p2(X38) ) )
& ! [X40] :
( ~ r1(X36,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ( ? [X42] : r1(X41,X42)
& p2(X41) ) )
| ~ p2(X40)
| ! [X43] :
( ~ r1(X40,X43)
| ? [X44] :
( r1(X43,X44)
& ! [X45] :
( ~ r1(X44,X45)
| ~ p2(X45) ) ) ) )
& ( ! [X46] :
( ~ r1(X36,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] : r1(X48,X49)
& p2(X48) ) ) )
| ? [X50] :
( r1(X36,X50)
& ! [X51] :
( ~ r1(X50,X51)
| ~ p2(X51) ) ) )
& ! [X52] :
( ~ r1(X36,X52)
| ? [X53] :
( r1(X52,X53)
& ! [X54] :
( ~ r1(X53,X54)
| ~ p2(X54) ) )
| ? [X55] :
( r1(X52,X55)
& ! [X56] :
( ~ r1(X55,X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] : r1(X57,X58)
& p2(X57) ) ) ) )
& ( ? [X59] :
( r1(X36,X59)
& ? [X60] : r1(X59,X60)
& p2(X59) )
| ? [X61] :
( r1(X36,X61)
& ! [X62] :
( ~ r1(X61,X62)
| ~ p2(X62) ) ) ) ) )
& ! [X63] :
( ~ r1(X29,X63)
| ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
| ? [X66] :
( r1(X63,X66)
& ~ p1(X66) ) ) ) )
& ! [X67] :
( ~ r1(X22,X67)
| ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| p1(X69) ) )
| ? [X70] :
( r1(X67,X70)
& ~ p1(X70) ) ) ) )
& ! [X71] :
( ~ r1(X15,X71)
| ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) )
| ? [X74] :
( r1(X71,X74)
& ~ p1(X74) ) ) ) )
& ! [X75] :
( ~ r1(X8,X75)
| ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77) ) )
| ? [X78] :
( r1(X75,X78)
& ~ p1(X78) ) ) ) )
& ! [X79] :
( ~ r1(X0,X79)
| ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| p1(X81) ) )
| ? [X82] :
( r1(X79,X82)
& ~ p1(X82) ) )
& ? [X83] :
( r1(X0,X83)
& ? [X84] :
( r1(X83,X84)
& ! [X85] :
( ~ r1(X84,X85)
| p1(X85) ) )
& ? [X86] :
( r1(X83,X86)
& ~ p1(X86) ) )
& ? [X87] :
( r1(X0,X87)
& ? [X88] :
( r1(X87,X88)
& ? [X89] :
( r1(X88,X89)
& ! [X90] :
( ~ r1(X89,X90)
| p1(X90) ) )
& ? [X91] :
( r1(X88,X91)
& ~ p1(X91) ) )
& ? [X92] :
( r1(X87,X92)
& ? [X93] :
( r1(X92,X93)
& ? [X94] :
( r1(X93,X94)
& ! [X95] :
( ~ r1(X94,X95)
| p1(X95) ) )
& ? [X96] :
( r1(X93,X96)
& ~ p1(X96) ) )
& ? [X97] :
( r1(X92,X97)
& ? [X98] :
( r1(X97,X98)
& ? [X99] :
( r1(X98,X99)
& ! [X100] :
( ~ r1(X99,X100)
| p1(X100) ) )
& ? [X101] :
( r1(X98,X101)
& ~ p1(X101) ) )
& ? [X102] :
( r1(X97,X102)
& ? [X103] :
( r1(X102,X103)
& ? [X104] :
( r1(X103,X104)
& ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) )
& ? [X106] :
( r1(X103,X106)
& ~ p1(X106) ) )
& ? [X107] :
( r1(X102,X107)
& ! [X108] :
( ~ r1(X107,X108)
| ? [X109] :
( r1(X108,X109)
& ~ p2(X109) ) ) )
& ! [X110] :
( ~ r1(X102,X110)
| ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ~ r1(X111,X112)
| ~ p1(X112) ) )
| ? [X113] :
( r1(X110,X113)
& p1(X113) ) ) )
& ! [X114] :
( ~ r1(X97,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ~ p1(X116) ) )
| ? [X117] :
( r1(X114,X117)
& p1(X117) ) ) )
& ! [X118] :
( ~ r1(X92,X118)
| ! [X119] :
( ~ r1(X118,X119)
| ! [X120] :
( ~ r1(X119,X120)
| ~ p1(X120) ) )
| ? [X121] :
( r1(X118,X121)
& p1(X121) ) ) )
& ! [X122] :
( ~ r1(X87,X122)
| ! [X123] :
( ~ r1(X122,X123)
| ! [X124] :
( ~ r1(X123,X124)
| ~ p1(X124) ) )
| ? [X125] :
( r1(X122,X125)
& p1(X125) ) ) )
& ! [X126] :
( ~ r1(X0,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ~ p1(X128) ) )
| ? [X129] :
( r1(X126,X129)
& p1(X129) ) ) ),
inference(flattening,[],[f7]) ).
fof(f9,definition,
! [X36] :
( ! [X52] :
( ~ r1(X36,X52)
| ? [X53] :
( r1(X52,X53)
& ! [X54] :
( ~ r1(X53,X54)
| ~ p2(X54) ) )
| ? [X55] :
( r1(X52,X55)
& ! [X56] :
( ~ r1(X55,X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] : r1(X57,X58)
& p2(X57) ) ) ) )
| ~ sP0(X36) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X36] :
( ? [X59] :
( r1(X36,X59)
& ? [X60] : r1(X59,X60)
& p2(X59) )
| ? [X61] :
( r1(X36,X61)
& ! [X62] :
( ~ r1(X61,X62)
| ~ p2(X62) ) )
| ~ sP1(X36) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X36] :
( ! [X46] :
( ~ r1(X36,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] : r1(X48,X49)
& p2(X48) ) ) )
| ? [X50] :
( r1(X36,X50)
& ! [X51] :
( ~ r1(X50,X51)
| ~ p2(X51) ) )
| ~ sP2(X36) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X36] :
( ! [X40] :
( ~ r1(X36,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ( ? [X42] : r1(X41,X42)
& p2(X41) ) )
| ~ p2(X40)
| ! [X43] :
( ~ r1(X40,X43)
| ? [X44] :
( r1(X43,X44)
& ! [X45] :
( ~ r1(X44,X45)
| ~ p2(X45) ) ) ) )
| ~ sP3(X36) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X29] :
( ! [X36] :
( ~ r1(X29,X36)
| ( ! [X37] :
( ~ r1(X36,X37)
| ? [X38] :
( r1(X37,X38)
& ? [X39] : r1(X38,X39)
& p2(X38) ) )
& sP3(X36)
& sP2(X36)
& sP0(X36)
& sP1(X36) ) )
| ~ sP4(X29) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X22] :
( ! [X29] :
( ~ r1(X22,X29)
| ( ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ? [X33] :
( r1(X32,X33)
& p1(X33) ) ) )
| ? [X34] :
( r1(X30,X34)
& ! [X35] :
( ~ r1(X34,X35)
| ~ p1(X35) ) ) )
& sP4(X29)
& ! [X63] :
( ~ r1(X29,X63)
| ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
| ? [X66] :
( r1(X63,X66)
& ~ p1(X66) ) ) ) )
| ~ sP5(X22) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X15] :
( ! [X22] :
( ~ r1(X15,X22)
| ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ? [X26] :
( r1(X25,X26)
& p1(X26) ) ) )
| ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| ~ p1(X28) ) ) )
& sP5(X22)
& ! [X67] :
( ~ r1(X22,X67)
| ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| p1(X69) ) )
| ? [X70] :
( r1(X67,X70)
& ~ p1(X70) ) ) ) )
| ~ sP6(X15) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X8] :
( ! [X15] :
( ~ r1(X8,X15)
| ( ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ? [X19] :
( r1(X18,X19)
& p1(X19) ) ) )
| ? [X20] :
( r1(X16,X20)
& ! [X21] :
( ~ r1(X20,X21)
| ~ p1(X21) ) ) )
& sP6(X15)
& ! [X71] :
( ~ r1(X15,X71)
| ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) )
| ? [X74] :
( r1(X71,X74)
& ~ p1(X74) ) ) ) )
| ~ sP7(X8) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ? [X5] :
( r1(X4,X5)
& p1(X5) ) ) )
| ? [X6] :
( r1(X2,X6)
& ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& ! [X8] :
( ~ r1(X0,X8)
| ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ? [X12] :
( r1(X11,X12)
& p1(X12) ) ) )
| ? [X13] :
( r1(X9,X13)
& ! [X14] :
( ~ r1(X13,X14)
| ~ p1(X14) ) ) )
& sP7(X8)
& ! [X75] :
( ~ r1(X8,X75)
| ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77) ) )
| ? [X78] :
( r1(X75,X78)
& ~ p1(X78) ) ) ) )
& ! [X79] :
( ~ r1(X0,X79)
| ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| p1(X81) ) )
| ? [X82] :
( r1(X79,X82)
& ~ p1(X82) ) )
& ? [X83] :
( r1(X0,X83)
& ? [X84] :
( r1(X83,X84)
& ! [X85] :
( ~ r1(X84,X85)
| p1(X85) ) )
& ? [X86] :
( r1(X83,X86)
& ~ p1(X86) ) )
& ? [X87] :
( r1(X0,X87)
& ? [X88] :
( r1(X87,X88)
& ? [X89] :
( r1(X88,X89)
& ! [X90] :
( ~ r1(X89,X90)
| p1(X90) ) )
& ? [X91] :
( r1(X88,X91)
& ~ p1(X91) ) )
& ? [X92] :
( r1(X87,X92)
& ? [X93] :
( r1(X92,X93)
& ? [X94] :
( r1(X93,X94)
& ! [X95] :
( ~ r1(X94,X95)
| p1(X95) ) )
& ? [X96] :
( r1(X93,X96)
& ~ p1(X96) ) )
& ? [X97] :
( r1(X92,X97)
& ? [X98] :
( r1(X97,X98)
& ? [X99] :
( r1(X98,X99)
& ! [X100] :
( ~ r1(X99,X100)
| p1(X100) ) )
& ? [X101] :
( r1(X98,X101)
& ~ p1(X101) ) )
& ? [X102] :
( r1(X97,X102)
& ? [X103] :
( r1(X102,X103)
& ? [X104] :
( r1(X103,X104)
& ! [X105] :
( ~ r1(X104,X105)
| p1(X105) ) )
& ? [X106] :
( r1(X103,X106)
& ~ p1(X106) ) )
& ? [X107] :
( r1(X102,X107)
& ! [X108] :
( ~ r1(X107,X108)
| ? [X109] :
( r1(X108,X109)
& ~ p2(X109) ) ) )
& ! [X110] :
( ~ r1(X102,X110)
| ! [X111] :
( ~ r1(X110,X111)
| ! [X112] :
( ~ r1(X111,X112)
| ~ p1(X112) ) )
| ? [X113] :
( r1(X110,X113)
& p1(X113) ) ) )
& ! [X114] :
( ~ r1(X97,X114)
| ! [X115] :
( ~ r1(X114,X115)
| ! [X116] :
( ~ r1(X115,X116)
| ~ p1(X116) ) )
| ? [X117] :
( r1(X114,X117)
& p1(X117) ) ) )
& ! [X118] :
( ~ r1(X92,X118)
| ! [X119] :
( ~ r1(X118,X119)
| ! [X120] :
( ~ r1(X119,X120)
| ~ p1(X120) ) )
| ? [X121] :
( r1(X118,X121)
& p1(X121) ) ) )
& ! [X122] :
( ~ r1(X87,X122)
| ! [X123] :
( ~ r1(X122,X123)
| ! [X124] :
( ~ r1(X123,X124)
| ~ p1(X124) ) )
| ? [X125] :
( r1(X122,X125)
& p1(X125) ) ) )
& ! [X126] :
( ~ r1(X0,X126)
| ! [X127] :
( ~ r1(X126,X127)
| ! [X128] :
( ~ r1(X127,X128)
| ~ p1(X128) ) )
| ? [X129] :
( r1(X126,X129)
& p1(X129) ) ) ),
inference(definition_folding,[],[f8,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f18,plain,
! [X8] :
( ! [X15] :
( ~ r1(X8,X15)
| ( ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ? [X19] :
( r1(X18,X19)
& p1(X19) ) ) )
| ? [X20] :
( r1(X16,X20)
& ! [X21] :
( ~ r1(X20,X21)
| ~ p1(X21) ) ) )
& sP6(X15)
& ! [X71] :
( ~ r1(X15,X71)
| ! [X72] :
( ~ r1(X71,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p1(X73) ) )
| ? [X74] :
( r1(X71,X74)
& ~ p1(X74) ) ) ) )
| ~ sP7(X8) ),
inference(nnf_transformation,[],[f16]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ? [X5] :
( r1(X4,X5)
& p1(X5) ) ) )
| ? [X6] :
( r1(X2,X6)
& ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& sP6(X1)
& ! [X8] :
( ~ r1(X1,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| ? [X11] :
( r1(X8,X11)
& ~ p1(X11) ) ) ) )
| ~ sP7(X0) ),
inference(rectify,[],[f18]) ).
fof(f20,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( r1(X4,sK8(X4))
& p1(sK8(X4)) ) ) )
| ( r1(X2,sK9(X2))
& ! [X7] :
( ~ r1(sK9(X2),X7)
| ~ p1(X7) ) ) )
& sP6(X1)
& ! [X8] :
( ~ r1(X1,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| ( r1(X8,sK10(X8))
& ~ p1(sK10(X8)) ) ) ) )
| ~ sP7(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X5,sK8(X4)),skolemize(X6,sK9(X2)),skolemize(X11,sK10(X8))],[f19]) ).
fof(f21,plain,
! [X15] :
( ! [X22] :
( ~ r1(X15,X22)
| ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ? [X26] :
( r1(X25,X26)
& p1(X26) ) ) )
| ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| ~ p1(X28) ) ) )
& sP5(X22)
& ! [X67] :
( ~ r1(X22,X67)
| ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| p1(X69) ) )
| ? [X70] :
( r1(X67,X70)
& ~ p1(X70) ) ) ) )
| ~ sP6(X15) ),
inference(nnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ? [X5] :
( r1(X4,X5)
& p1(X5) ) ) )
| ? [X6] :
( r1(X2,X6)
& ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& sP5(X1)
& ! [X8] :
( ~ r1(X1,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| ? [X11] :
( r1(X8,X11)
& ~ p1(X11) ) ) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f21]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( r1(X4,sK11(X4))
& p1(sK11(X4)) ) ) )
| ( r1(X2,sK12(X2))
& ! [X7] :
( ~ r1(sK12(X2),X7)
| ~ p1(X7) ) ) )
& sP5(X1)
& ! [X8] :
( ~ r1(X1,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| ( r1(X8,sK13(X8))
& ~ p1(sK13(X8)) ) ) ) )
| ~ sP6(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X5,sK11(X4)),skolemize(X6,sK12(X2)),skolemize(X11,sK13(X8))],[f22]) ).
fof(f24,plain,
! [X22] :
( ! [X29] :
( ~ r1(X22,X29)
| ( ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ? [X33] :
( r1(X32,X33)
& p1(X33) ) ) )
| ? [X34] :
( r1(X30,X34)
& ! [X35] :
( ~ r1(X34,X35)
| ~ p1(X35) ) ) )
& sP4(X29)
& ! [X63] :
( ~ r1(X29,X63)
| ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
| ? [X66] :
( r1(X63,X66)
& ~ p1(X66) ) ) ) )
| ~ sP5(X22) ),
inference(nnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ? [X5] :
( r1(X4,X5)
& p1(X5) ) ) )
| ? [X6] :
( r1(X2,X6)
& ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& sP4(X1)
& ! [X8] :
( ~ r1(X1,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| ? [X11] :
( r1(X8,X11)
& ~ p1(X11) ) ) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( r1(X4,sK14(X4))
& p1(sK14(X4)) ) ) )
| ( r1(X2,sK15(X2))
& ! [X7] :
( ~ r1(sK15(X2),X7)
| ~ p1(X7) ) ) )
& sP4(X1)
& ! [X8] :
( ~ r1(X1,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| ( r1(X8,sK16(X8))
& ~ p1(sK16(X8)) ) ) ) )
| ~ sP5(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X5,sK14(X4)),skolemize(X6,sK15(X2)),skolemize(X11,sK16(X8))],[f25]) ).
fof(f27,plain,
! [X29] :
( ! [X36] :
( ~ r1(X29,X36)
| ( ! [X37] :
( ~ r1(X36,X37)
| ? [X38] :
( r1(X37,X38)
& ? [X39] : r1(X38,X39)
& p2(X38) ) )
& sP3(X36)
& sP2(X36)
& sP0(X36)
& sP1(X36) ) )
| ~ sP4(X29) ),
inference(nnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4)
& p2(X3) ) )
& sP3(X1)
& sP2(X1)
& sP0(X1)
& sP1(X1) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK17(X2))
& r1(sK17(X2),sK18(X2))
& p2(sK17(X2)) ) )
& sP3(X1)
& sP2(X1)
& sP0(X1)
& sP1(X1) ) )
| ~ sP4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X3,sK17(X2)),skolemize(X4,sK18(X2))],[f28]) ).
fof(f30,plain,
! [X36] :
( ! [X40] :
( ~ r1(X36,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ( ? [X42] : r1(X41,X42)
& p2(X41) ) )
| ~ p2(X40)
| ! [X43] :
( ~ r1(X40,X43)
| ? [X44] :
( r1(X43,X44)
& ! [X45] :
( ~ r1(X44,X45)
| ~ p2(X45) ) ) ) )
| ~ sP3(X36) ),
inference(nnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( ? [X3] : r1(X2,X3)
& p2(X2) ) )
| ~ p2(X1)
| ! [X4] :
( ~ r1(X1,X4)
| ? [X5] :
( r1(X4,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6) ) ) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK19(X2))
& p2(X2) ) )
| ~ p2(X1)
| ! [X4] :
( ~ r1(X1,X4)
| ( r1(X4,sK20(X4))
& ! [X6] :
( ~ r1(sK20(X4),X6)
| ~ p2(X6) ) ) ) )
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X3,sK19(X2)),skolemize(X5,sK20(X4))],[f31]) ).
fof(f33,plain,
! [X36] :
( ! [X46] :
( ~ r1(X36,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] : r1(X48,X49)
& p2(X48) ) ) )
| ? [X50] :
( r1(X36,X50)
& ! [X51] :
( ~ r1(X50,X51)
| ~ p2(X51) ) )
| ~ sP2(X36) ),
inference(nnf_transformation,[],[f11]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4)
& p2(X3) ) ) )
| ? [X5] :
( r1(X0,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK21(X2))
& r1(sK21(X2),sK22(X2))
& p2(sK21(X2)) ) ) )
| ( r1(X0,sK23(X0))
& ! [X6] :
( ~ r1(sK23(X0),X6)
| ~ p2(X6) ) )
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23]),skolemize(X3,sK21(X2)),skolemize(X4,sK22(X2)),skolemize(X5,sK23(X0))],[f34]) ).
fof(f36,plain,
! [X36] :
( ? [X59] :
( r1(X36,X59)
& ? [X60] : r1(X59,X60)
& p2(X59) )
| ? [X61] :
( r1(X36,X61)
& ! [X62] :
( ~ r1(X61,X62)
| ~ p2(X62) ) )
| ~ sP1(X36) ),
inference(nnf_transformation,[],[f10]) ).
fof(f37,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] : r1(X1,X2)
& p2(X1) )
| ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ~ p2(X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
! [X0] :
( ( r1(X0,sK24(X0))
& r1(sK24(X0),sK25(X0))
& p2(sK24(X0)) )
| ( r1(X0,sK26(X0))
& ! [X4] :
( ~ r1(sK26(X0),X4)
| ~ p2(X4) ) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26]),skolemize(X1,sK24(X0)),skolemize(X2,sK25(X0)),skolemize(X3,sK26(X0))],[f37]) ).
fof(f39,plain,
! [X36] :
( ! [X52] :
( ~ r1(X36,X52)
| ? [X53] :
( r1(X52,X53)
& ! [X54] :
( ~ r1(X53,X54)
| ~ p2(X54) ) )
| ? [X55] :
( r1(X52,X55)
& ! [X56] :
( ~ r1(X55,X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] : r1(X57,X58)
& p2(X57) ) ) ) )
| ~ sP0(X36) ),
inference(nnf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p2(X3) ) )
| ? [X4] :
( r1(X1,X4)
& ! [X5] :
( ~ r1(X4,X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] : r1(X6,X7)
& p2(X6) ) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( r1(X1,sK27(X1))
& ! [X3] :
( ~ r1(sK27(X1),X3)
| ~ p2(X3) ) )
| ( r1(X1,sK28(X1))
& ! [X5] :
( ~ r1(sK28(X1),X5)
| ( r1(X5,sK29(X5))
& r1(sK29(X5),sK30(X5))
& p2(sK29(X5)) ) ) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30]),skolemize(X2,sK27(X1)),skolemize(X4,sK28(X1)),skolemize(X6,sK29(X5)),skolemize(X7,sK30(X5))],[f40]) ).
fof(f42,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& p1(X4) ) ) )
| ? [X5] :
( r1(X1,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6) ) ) )
& ! [X7] :
( ~ r1(X0,X7)
| ( ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ? [X11] :
( r1(X10,X11)
& p1(X11) ) ) )
| ? [X12] :
( r1(X8,X12)
& ! [X13] :
( ~ r1(X12,X13)
| ~ p1(X13) ) ) )
& sP7(X7)
& ! [X14] :
( ~ r1(X7,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
| ? [X17] :
( r1(X14,X17)
& ~ p1(X17) ) ) ) )
& ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
| ? [X21] :
( r1(X18,X21)
& ~ p1(X21) ) )
& ? [X22] :
( r1(X0,X22)
& ? [X23] :
( r1(X22,X23)
& ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
& ? [X25] :
( r1(X22,X25)
& ~ p1(X25) ) )
& ? [X26] :
( r1(X0,X26)
& ? [X27] :
( r1(X26,X27)
& ? [X28] :
( r1(X27,X28)
& ! [X29] :
( ~ r1(X28,X29)
| p1(X29) ) )
& ? [X30] :
( r1(X27,X30)
& ~ p1(X30) ) )
& ? [X31] :
( r1(X26,X31)
& ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ! [X34] :
( ~ r1(X33,X34)
| p1(X34) ) )
& ? [X35] :
( r1(X32,X35)
& ~ p1(X35) ) )
& ? [X36] :
( r1(X31,X36)
& ? [X37] :
( r1(X36,X37)
& ? [X38] :
( r1(X37,X38)
& ! [X39] :
( ~ r1(X38,X39)
| p1(X39) ) )
& ? [X40] :
( r1(X37,X40)
& ~ p1(X40) ) )
& ? [X41] :
( r1(X36,X41)
& ? [X42] :
( r1(X41,X42)
& ? [X43] :
( r1(X42,X43)
& ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) )
& ? [X45] :
( r1(X42,X45)
& ~ p1(X45) ) )
& ? [X46] :
( r1(X41,X46)
& ! [X47] :
( ~ r1(X46,X47)
| ? [X48] :
( r1(X47,X48)
& ~ p2(X48) ) ) )
& ! [X49] :
( ~ r1(X41,X49)
| ! [X50] :
( ~ r1(X49,X50)
| ! [X51] :
( ~ r1(X50,X51)
| ~ p1(X51) ) )
| ? [X52] :
( r1(X49,X52)
& p1(X52) ) ) )
& ! [X53] :
( ~ r1(X36,X53)
| ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| ~ p1(X55) ) )
| ? [X56] :
( r1(X53,X56)
& p1(X56) ) ) )
& ! [X57] :
( ~ r1(X31,X57)
| ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ~ r1(X58,X59)
| ~ p1(X59) ) )
| ? [X60] :
( r1(X57,X60)
& p1(X60) ) ) )
& ! [X61] :
( ~ r1(X26,X61)
| ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ~ r1(X62,X63)
| ~ p1(X63) ) )
| ? [X64] :
( r1(X61,X64)
& p1(X64) ) ) )
& ! [X65] :
( ~ r1(X0,X65)
| ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| ~ p1(X67) ) )
| ? [X68] :
( r1(X65,X68)
& p1(X68) ) ) ),
inference(rectify,[],[f17]) ).
fof(f43,plain,
( ! [X1] :
( ~ r1(sK31,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ( r1(X3,sK32(X3))
& p1(sK32(X3)) ) ) )
| ( r1(X1,sK33(X1))
& ! [X6] :
( ~ r1(sK33(X1),X6)
| ~ p1(X6) ) ) )
& ! [X7] :
( ~ r1(sK31,X7)
| ( ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( r1(X10,sK34(X10))
& p1(sK34(X10)) ) ) )
| ( r1(X8,sK35(X8))
& ! [X13] :
( ~ r1(sK35(X8),X13)
| ~ p1(X13) ) ) )
& sP7(X7)
& ! [X14] :
( ~ r1(X7,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
| ( r1(X14,sK36(X14))
& ~ p1(sK36(X14)) ) ) ) )
& ! [X18] :
( ~ r1(sK31,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
| ( r1(X18,sK37(X18))
& ~ p1(sK37(X18)) ) )
& r1(sK31,sK38)
& r1(sK38,sK39)
& ! [X24] :
( ~ r1(sK39,X24)
| p1(X24) )
& r1(sK38,sK40)
& ~ p1(sK40)
& r1(sK31,sK41)
& r1(sK41,sK42)
& r1(sK42,sK43)
& ! [X29] :
( ~ r1(sK43,X29)
| p1(X29) )
& r1(sK42,sK44)
& ~ p1(sK44)
& r1(sK41,sK45)
& r1(sK45,sK46)
& r1(sK46,sK47)
& ! [X34] :
( ~ r1(sK47,X34)
| p1(X34) )
& r1(sK46,sK48)
& ~ p1(sK48)
& r1(sK45,sK49)
& r1(sK49,sK50)
& r1(sK50,sK51)
& ! [X39] :
( ~ r1(sK51,X39)
| p1(X39) )
& r1(sK50,sK52)
& ~ p1(sK52)
& r1(sK49,sK53)
& r1(sK53,sK54)
& r1(sK54,sK55)
& ! [X44] :
( ~ r1(sK55,X44)
| p1(X44) )
& r1(sK54,sK56)
& ~ p1(sK56)
& r1(sK53,sK57)
& ! [X47] :
( ~ r1(sK57,X47)
| ( r1(X47,sK58(X47))
& ~ p2(sK58(X47)) ) )
& ! [X49] :
( ~ r1(sK53,X49)
| ! [X50] :
( ~ r1(X49,X50)
| ! [X51] :
( ~ r1(X50,X51)
| ~ p1(X51) ) )
| ( r1(X49,sK59(X49))
& p1(sK59(X49)) ) )
& ! [X53] :
( ~ r1(sK49,X53)
| ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| ~ p1(X55) ) )
| ( r1(X53,sK60(X53))
& p1(sK60(X53)) ) )
& ! [X57] :
( ~ r1(sK45,X57)
| ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ~ r1(X58,X59)
| ~ p1(X59) ) )
| ( r1(X57,sK61(X57))
& p1(sK61(X57)) ) )
& ! [X61] :
( ~ r1(sK41,X61)
| ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ~ r1(X62,X63)
| ~ p1(X63) ) )
| ( r1(X61,sK62(X61))
& p1(sK62(X61)) ) )
& ! [X65] :
( ~ r1(sK31,X65)
| ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| ~ p1(X67) ) )
| ( r1(X65,sK63(X65))
& p1(sK63(X65)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62,sK63]),skolemize(X0,sK31),skolemize(X4,sK32(X3)),skolemize(X5,sK33(X1)),skolemize(X11,sK34(X10)),skolemize(X12,sK35(X8)),skolemize(X17,sK36(X14)),skolemize(X21,sK37(X18)),skolemize(X22,sK38),skolemize(X23,sK39),skolemize(X25,sK40),skolemize(X26,sK41),skolemize(X27,sK42),skolemize(X28,sK43),skolemize(X30,sK44),skolemize(X31,sK45),skolemize(X32,sK46),skolemize(X33,sK47),skolemize(X35,sK48),skolemize(X36,sK49),skolemize(X37,sK50),skolemize(X38,sK51),skolemize(X40,sK52),skolemize(X41,sK53),skolemize(X42,sK54),skolemize(X43,sK55),skolemize(X45,sK56),skolemize(X46,sK57),skolemize(X48,sK58(X47)),skolemize(X52,sK59(X49)),skolemize(X56,sK60(X53)),skolemize(X60,sK61(X57)),skolemize(X64,sK62(X61)),skolemize(X68,sK63(X65))],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP6(X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f53,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP5(X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f60,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP4(X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f65,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP1(X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f66,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP0(X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f67,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP2(X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f68,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP3(X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK17(X2))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK17(X2))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f72,plain,
! [X2,X0,X1,X6,X4] :
( ~ r1(sK20(X4),X6)
| ~ r1(X1,X2)
| p2(X2)
| ~ p2(X1)
| ~ r1(X1,X4)
| ~ r1(X0,X1)
| ~ p2(X6)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f73,plain,
! [X2,X0,X1,X4] :
( ~ r1(X1,X4)
| ~ r1(X1,X2)
| p2(X2)
| ~ p2(X1)
| ~ r1(X0,X1)
| r1(X4,sK20(X4))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f76,plain,
! [X2,X0,X1,X6] :
( ~ r1(sK23(X0),X6)
| ~ r1(X1,X2)
| p2(sK21(X2))
| ~ r1(X0,X1)
| ~ p2(X6)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK21(X2))
| r1(X0,sK23(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f80,plain,
! [X2,X0,X1,X6] :
( ~ r1(sK23(X0),X6)
| ~ r1(X1,X2)
| r1(X2,sK21(X2))
| ~ r1(X0,X1)
| ~ p2(X6)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK21(X2))
| r1(X0,sK23(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f82,plain,
! [X0,X4] :
( ~ r1(sK26(X0),X4)
| p2(sK24(X0))
| ~ p2(X4)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f83,plain,
! [X0] :
( r1(X0,sK26(X0))
| p2(sK24(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f86,plain,
! [X0,X4] :
( ~ r1(sK26(X0),X4)
| r1(X0,sK24(X0))
| ~ p2(X4)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f87,plain,
! [X0] :
( r1(X0,sK26(X0))
| r1(X0,sK24(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f88,plain,
! [X3,X0,X1,X5] :
( ~ r1(sK28(X1),X5)
| ~ r1(sK27(X1),X3)
| ~ p2(X3)
| ~ r1(X0,X1)
| p2(sK29(X5))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f90,plain,
! [X3,X0,X1,X5] :
( ~ r1(sK28(X1),X5)
| ~ r1(sK27(X1),X3)
| ~ p2(X3)
| ~ r1(X0,X1)
| r1(X5,sK29(X5))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f91,plain,
! [X3,X0,X1] :
( ~ r1(sK27(X1),X3)
| ~ r1(X0,X1)
| ~ p2(X3)
| r1(X1,sK28(X1))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f92,plain,
! [X0,X1,X5] :
( ~ r1(sK28(X1),X5)
| r1(X1,sK27(X1))
| ~ r1(X0,X1)
| p2(sK29(X5))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f94,plain,
! [X0,X1,X5] :
( ~ r1(sK28(X1),X5)
| r1(X1,sK27(X1))
| ~ r1(X0,X1)
| r1(X5,sK29(X5))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f95,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK27(X1))
| r1(X1,sK28(X1))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f106,plain,
! [X47] :
( ~ p2(sK58(X47))
| ~ r1(sK57,X47) ),
inference(cnf_transformation,[],[f43]) ).
fof(f107,plain,
! [X47] :
( r1(X47,sK58(X47))
| ~ r1(sK57,X47) ),
inference(cnf_transformation,[],[f43]) ).
fof(f108,plain,
r1(sK53,sK57),
inference(cnf_transformation,[],[f43]) ).
fof(f114,plain,
r1(sK49,sK53),
inference(cnf_transformation,[],[f43]) ).
fof(f120,plain,
r1(sK45,sK49),
inference(cnf_transformation,[],[f43]) ).
fof(f126,plain,
r1(sK41,sK45),
inference(cnf_transformation,[],[f43]) ).
fof(f132,plain,
r1(sK31,sK41),
inference(cnf_transformation,[],[f43]) ).
fof(f142,plain,
! [X7] :
( ~ r1(sK31,X7)
| sP7(X7) ),
inference(cnf_transformation,[],[f43]) ).
fof(f151,plain,
sP7(sK41),
inference(resolution,[],[f142,f132]) ).
fof(f548,plain,
( sP1(sK57)
| ~ sP4(sK53) ),
inference(resolution,[],[f108,f65]) ).
fof(f549,plain,
( sP0(sK57)
| ~ sP4(sK53) ),
inference(resolution,[],[f108,f66]) ).
fof(f550,plain,
( sP2(sK57)
| ~ sP4(sK53) ),
inference(resolution,[],[f108,f67]) ).
fof(f551,plain,
( sP3(sK57)
| ~ sP4(sK53) ),
inference(resolution,[],[f108,f68]) ).
fof(f562,definition,
( spl64_77
<=> sP4(sK53) ),
introduced(definition,[new_symbols(definition,[spl64_77])],[avatar_definition]) ).
fof(f563,plain,
( sP4(sK53)
| ~ spl64_77 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f564,plain,
( ~ sP4(sK53)
| spl64_77 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl64_78
<=> sP3(sK57) ),
introduced(definition,[new_symbols(definition,[spl64_78])],[avatar_definition]) ).
fof(f568,plain,
( sP3(sK57)
| ~ spl64_78 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f569,plain,
( ~ spl64_77
| spl64_78 ),
inference(avatar_split_clause,[],[f551,f566,f562]) ).
fof(f571,definition,
( spl64_79
<=> sP2(sK57) ),
introduced(definition,[new_symbols(definition,[spl64_79])],[avatar_definition]) ).
fof(f573,plain,
( sP2(sK57)
| ~ spl64_79 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,plain,
( ~ spl64_77
| spl64_79 ),
inference(avatar_split_clause,[],[f550,f571,f562]) ).
fof(f576,definition,
( spl64_80
<=> sP0(sK57) ),
introduced(definition,[new_symbols(definition,[spl64_80])],[avatar_definition]) ).
fof(f578,plain,
( sP0(sK57)
| ~ spl64_80 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f579,plain,
( ~ spl64_77
| spl64_80 ),
inference(avatar_split_clause,[],[f549,f576,f562]) ).
fof(f581,definition,
( spl64_81
<=> sP1(sK57) ),
introduced(definition,[new_symbols(definition,[spl64_81])],[avatar_definition]) ).
fof(f583,plain,
( sP1(sK57)
| ~ spl64_81 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f584,plain,
( ~ spl64_77
| spl64_81 ),
inference(avatar_split_clause,[],[f548,f581,f562]) ).
fof(f663,plain,
! [X0,X1] :
( p2(sK24(X0))
| ~ sP1(X0)
| ~ r1(X1,X0)
| p2(sK17(sK26(X0)))
| ~ sP4(X1) ),
inference(resolution,[],[f83,f69]) ).
fof(f664,plain,
! [X0,X1] :
( p2(sK24(X0))
| ~ sP1(X0)
| ~ r1(X1,X0)
| r1(sK26(X0),sK17(sK26(X0)))
| ~ sP4(X1) ),
inference(resolution,[],[f83,f71]) ).
fof(f667,plain,
! [X0,X1] :
( ~ r1(X1,X0)
| p2(sK24(X0))
| r1(sK26(X0),sK17(sK26(X0)))
| ~ sP4(X1) ),
inference(forward_subsumption_resolution,[],[f664,f65]) ).
fof(f668,plain,
! [X0,X1] :
( ~ r1(X1,X0)
| p2(sK24(X0))
| p2(sK17(sK26(X0)))
| ~ sP4(X1) ),
inference(forward_subsumption_resolution,[],[f663,f65]) ).
fof(f897,plain,
( sP6(sK45)
| ~ sP7(sK41) ),
inference(resolution,[],[f126,f46]) ).
fof(f958,plain,
sP6(sK45),
inference(forward_subsumption_resolution,[],[f897,f151]) ).
fof(f961,plain,
( sP4(sK53)
| ~ sP5(sK49) ),
inference(resolution,[],[f114,f60]) ).
fof(f1014,plain,
( ~ sP5(sK49)
| spl64_77 ),
inference(forward_subsumption_resolution,[],[f961,f564]) ).
fof(f1020,plain,
( sP5(sK49)
| ~ sP6(sK45) ),
inference(resolution,[],[f120,f53]) ).
fof(f1071,plain,
( ~ sP6(sK45)
| spl64_77 ),
inference(forward_subsumption_resolution,[],[f1020,f1014]) ).
fof(f1074,plain,
( $false
| spl64_77 ),
inference(forward_subsumption_resolution,[],[f1071,f958]) ).
fof(f1075,plain,
spl64_77,
inference(avatar_contradiction_clause,[],[f1074]) ).
fof(f1852,plain,
! [X0,X1] :
( r1(X0,sK24(X0))
| ~ sP1(X0)
| ~ r1(X1,X0)
| p2(sK17(sK26(X0)))
| ~ sP4(X1) ),
inference(resolution,[],[f87,f69]) ).
fof(f1854,plain,
! [X0,X1] :
( r1(X0,sK24(X0))
| ~ sP1(X0)
| ~ r1(X1,X0)
| r1(sK26(X0),sK17(sK26(X0)))
| ~ sP4(X1) ),
inference(resolution,[],[f87,f71]) ).
fof(f1867,plain,
! [X0,X1] :
( ~ r1(X1,X0)
| r1(X0,sK24(X0))
| r1(sK26(X0),sK17(sK26(X0)))
| ~ sP4(X1) ),
inference(forward_subsumption_resolution,[],[f1854,f65]) ).
fof(f1869,plain,
! [X0,X1] :
( ~ r1(X1,X0)
| r1(X0,sK24(X0))
| p2(sK17(sK26(X0)))
| ~ sP4(X1) ),
inference(forward_subsumption_resolution,[],[f1852,f65]) ).
fof(f2021,plain,
( p2(sK24(sK57))
| r1(sK26(sK57),sK17(sK26(sK57)))
| ~ sP4(sK53) ),
inference(resolution,[],[f667,f108]) ).
fof(f2028,plain,
( p2(sK24(sK57))
| r1(sK26(sK57),sK17(sK26(sK57)))
| ~ spl64_77 ),
inference(forward_subsumption_resolution,[],[f2021,f563]) ).
fof(f2041,definition,
( spl64_300
<=> r1(sK26(sK57),sK17(sK26(sK57))) ),
introduced(definition,[new_symbols(definition,[spl64_300])],[avatar_definition]) ).
fof(f2042,plain,
( ~ r1(sK26(sK57),sK17(sK26(sK57)))
| spl64_300 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f2043,plain,
( r1(sK26(sK57),sK17(sK26(sK57)))
| ~ spl64_300 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f2045,definition,
( spl64_301
<=> p2(sK24(sK57)) ),
introduced(definition,[new_symbols(definition,[spl64_301])],[avatar_definition]) ).
fof(f2046,plain,
( ~ p2(sK24(sK57))
| spl64_301 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f2047,plain,
( p2(sK24(sK57))
| ~ spl64_301 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f2048,plain,
( spl64_300
| spl64_301
| ~ spl64_77 ),
inference(avatar_split_clause,[],[f2028,f562,f2045,f2041]) ).
fof(f2064,plain,
( r1(sK57,sK24(sK57))
| ~ p2(sK17(sK26(sK57)))
| ~ sP1(sK57)
| ~ spl64_300 ),
inference(resolution,[],[f2043,f86]) ).
fof(f2065,plain,
( p2(sK24(sK57))
| ~ p2(sK17(sK26(sK57)))
| ~ sP1(sK57)
| ~ spl64_300 ),
inference(resolution,[],[f2043,f82]) ).
fof(f2184,plain,
( p2(sK24(sK57))
| ~ p2(sK17(sK26(sK57)))
| ~ spl64_81
| ~ spl64_300 ),
inference(forward_subsumption_resolution,[],[f2065,f583]) ).
fof(f2185,plain,
( r1(sK57,sK24(sK57))
| ~ p2(sK17(sK26(sK57)))
| ~ spl64_81
| ~ spl64_300 ),
inference(forward_subsumption_resolution,[],[f2064,f583]) ).
fof(f2188,definition,
( spl64_328
<=> p2(sK17(sK26(sK57))) ),
introduced(definition,[new_symbols(definition,[spl64_328])],[avatar_definition]) ).
fof(f2190,plain,
( ~ p2(sK17(sK26(sK57)))
| spl64_328 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f2191,plain,
( ~ spl64_328
| spl64_301
| ~ spl64_81
| ~ spl64_300 ),
inference(avatar_split_clause,[],[f2184,f2041,f581,f2045,f2188]) ).
fof(f2193,definition,
( spl64_329
<=> r1(sK57,sK24(sK57)) ),
introduced(definition,[new_symbols(definition,[spl64_329])],[avatar_definition]) ).
fof(f2195,plain,
( r1(sK57,sK24(sK57))
| ~ spl64_329 ),
inference(avatar_component_clause,[],[f2193]) ).
fof(f2196,plain,
( ~ spl64_328
| spl64_329
| ~ spl64_81
| ~ spl64_300 ),
inference(avatar_split_clause,[],[f2185,f2041,f581,f2193,f2188]) ).
fof(f2703,plain,
( p2(sK24(sK57))
| p2(sK17(sK26(sK57)))
| ~ sP4(sK53) ),
inference(resolution,[],[f668,f108]) ).
fof(f2856,plain,
( r1(sK57,sK24(sK57))
| r1(sK26(sK57),sK17(sK26(sK57)))
| ~ sP4(sK53) ),
inference(resolution,[],[f1867,f108]) ).
fof(f2864,plain,
( r1(sK57,sK24(sK57))
| ~ sP4(sK53)
| spl64_300 ),
inference(forward_subsumption_resolution,[],[f2856,f2042]) ).
fof(f2868,plain,
( r1(sK57,sK24(sK57))
| ~ spl64_77
| spl64_300 ),
inference(forward_subsumption_resolution,[],[f2864,f563]) ).
fof(f2872,plain,
( spl64_329
| ~ spl64_77
| spl64_300 ),
inference(avatar_split_clause,[],[f2868,f2041,f562,f2193]) ).
fof(f3047,definition,
( spl64_456
<=> r1(sK57,sK23(sK57)) ),
introduced(definition,[new_symbols(definition,[spl64_456])],[avatar_definition]) ).
fof(f3048,plain,
( ~ r1(sK57,sK23(sK57))
| spl64_456 ),
inference(avatar_component_clause,[],[f3047]) ).
fof(f3049,plain,
( r1(sK57,sK23(sK57))
| ~ spl64_456 ),
inference(avatar_component_clause,[],[f3047]) ).
fof(f3058,plain,
( ! [X0] :
( ~ r1(X0,sK57)
| p2(sK17(sK23(sK57)))
| ~ sP4(X0) )
| ~ spl64_456 ),
inference(resolution,[],[f3049,f69]) ).
fof(f3060,plain,
( ! [X0] :
( ~ r1(X0,sK57)
| r1(sK23(sK57),sK17(sK23(sK57)))
| ~ sP4(X0) )
| ~ spl64_456 ),
inference(resolution,[],[f3049,f71]) ).
fof(f3082,definition,
( spl64_460
<=> r1(sK23(sK57),sK17(sK23(sK57))) ),
introduced(definition,[new_symbols(definition,[spl64_460])],[avatar_definition]) ).
fof(f3084,plain,
( r1(sK23(sK57),sK17(sK23(sK57)))
| ~ spl64_460 ),
inference(avatar_component_clause,[],[f3082]) ).
fof(f3086,definition,
( spl64_461
<=> ! [X0] :
( ~ r1(X0,sK57)
| ~ sP4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_461])],[avatar_definition]) ).
fof(f3087,plain,
( ! [X0] :
( ~ r1(X0,sK57)
| ~ sP4(X0) )
| ~ spl64_461 ),
inference(avatar_component_clause,[],[f3086]) ).
fof(f3088,plain,
( spl64_460
| spl64_461
| ~ spl64_456 ),
inference(avatar_split_clause,[],[f3060,f3047,f3086,f3082]) ).
fof(f3095,definition,
( spl64_463
<=> p2(sK17(sK23(sK57))) ),
introduced(definition,[new_symbols(definition,[spl64_463])],[avatar_definition]) ).
fof(f3097,plain,
( p2(sK17(sK23(sK57)))
| ~ spl64_463 ),
inference(avatar_component_clause,[],[f3095]) ).
fof(f3098,plain,
( spl64_463
| spl64_461
| ~ spl64_456 ),
inference(avatar_split_clause,[],[f3058,f3047,f3086,f3095]) ).
fof(f3727,plain,
( r1(sK57,sK24(sK57))
| p2(sK17(sK26(sK57)))
| ~ sP4(sK53) ),
inference(resolution,[],[f1869,f108]) ).
fof(f3734,plain,
( r1(sK57,sK24(sK57))
| ~ sP4(sK53)
| spl64_328 ),
inference(forward_subsumption_resolution,[],[f3727,f2190]) ).
fof(f3737,plain,
( r1(sK57,sK24(sK57))
| ~ spl64_77
| spl64_328 ),
inference(forward_subsumption_resolution,[],[f3734,f563]) ).
fof(f3740,plain,
( spl64_329
| ~ spl64_77
| spl64_328 ),
inference(avatar_split_clause,[],[f3737,f2188,f562,f2193]) ).
fof(f3756,plain,
( r1(sK24(sK57),sK27(sK24(sK57)))
| r1(sK24(sK57),sK28(sK24(sK57)))
| ~ sP0(sK57)
| ~ spl64_329 ),
inference(resolution,[],[f2195,f95]) ).
fof(f3761,plain,
( r1(sK24(sK57),sK27(sK24(sK57)))
| r1(sK24(sK57),sK28(sK24(sK57)))
| ~ spl64_80
| ~ spl64_329 ),
inference(forward_subsumption_resolution,[],[f3756,f578]) ).
fof(f3818,definition,
( spl64_600
<=> r1(sK24(sK57),sK28(sK24(sK57))) ),
introduced(definition,[new_symbols(definition,[spl64_600])],[avatar_definition]) ).
fof(f3819,plain,
( ~ r1(sK24(sK57),sK28(sK24(sK57)))
| spl64_600 ),
inference(avatar_component_clause,[],[f3818]) ).
fof(f3820,plain,
( r1(sK24(sK57),sK28(sK24(sK57)))
| ~ spl64_600 ),
inference(avatar_component_clause,[],[f3818]) ).
fof(f3822,definition,
( spl64_601
<=> r1(sK24(sK57),sK27(sK24(sK57))) ),
introduced(definition,[new_symbols(definition,[spl64_601])],[avatar_definition]) ).
fof(f3823,plain,
( ~ r1(sK24(sK57),sK27(sK24(sK57)))
| spl64_601 ),
inference(avatar_component_clause,[],[f3822]) ).
fof(f3824,plain,
( r1(sK24(sK57),sK27(sK24(sK57)))
| ~ spl64_601 ),
inference(avatar_component_clause,[],[f3822]) ).
fof(f3825,plain,
( spl64_600
| spl64_601
| ~ spl64_80
| ~ spl64_329 ),
inference(avatar_split_clause,[],[f3761,f2193,f576,f3822,f3818]) ).
fof(f4049,definition,
( spl64_638
<=> ! [X0] :
( ~ r1(X0,sK24(sK57))
| ~ sP2(X0)
| r1(X0,sK23(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl64_638])],[avatar_definition]) ).
fof(f4050,plain,
( ! [X0] :
( ~ r1(X0,sK24(sK57))
| ~ sP2(X0)
| r1(X0,sK23(X0)) )
| ~ spl64_638 ),
inference(avatar_component_clause,[],[f4049]) ).
fof(f4120,definition,
( spl64_653
<=> ! [X1] :
( ~ r1(X1,sK24(sK57))
| ~ sP3(X1) ) ),
introduced(definition,[new_symbols(definition,[spl64_653])],[avatar_definition]) ).
fof(f4121,plain,
( ! [X1] :
( ~ r1(X1,sK24(sK57))
| ~ sP3(X1) )
| ~ spl64_653 ),
inference(avatar_component_clause,[],[f4120]) ).
fof(f4123,definition,
( spl64_654
<=> ! [X0] :
( ~ r1(sK24(sK57),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_654])],[avatar_definition]) ).
fof(f4124,plain,
( ! [X0] :
( ~ r1(sK24(sK57),X0)
| p2(X0) )
| ~ spl64_654 ),
inference(avatar_component_clause,[],[f4123]) ).
fof(f4586,plain,
( ~ sP3(sK57)
| ~ spl64_329
| ~ spl64_653 ),
inference(resolution,[],[f4121,f2195]) ).
fof(f4587,plain,
( $false
| ~ spl64_78
| ~ spl64_329
| ~ spl64_653 ),
inference(forward_subsumption_resolution,[],[f4586,f568]) ).
fof(f4588,plain,
( ~ spl64_78
| ~ spl64_329
| ~ spl64_653 ),
inference(avatar_contradiction_clause,[],[f4587]) ).
fof(f4743,definition,
( spl64_761
<=> ! [X0] :
( ~ r1(X0,sK24(sK57))
| ~ sP0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_761])],[avatar_definition]) ).
fof(f4744,plain,
( ! [X0] :
( ~ r1(X0,sK24(sK57))
| ~ sP0(X0) )
| ~ spl64_761 ),
inference(avatar_component_clause,[],[f4743]) ).
fof(f4756,plain,
( ! [X0,X1] :
( ~ r1(sK24(sK57),X0)
| p2(X0)
| ~ p2(sK24(sK57))
| ~ r1(X1,sK24(sK57))
| r1(sK28(sK24(sK57)),sK20(sK28(sK24(sK57))))
| ~ sP3(X1) )
| ~ spl64_600 ),
inference(resolution,[],[f3820,f73]) ).
fof(f4764,plain,
( ! [X0,X1] :
( ~ r1(sK24(sK57),X0)
| p2(X0)
| ~ r1(X1,sK24(sK57))
| r1(sK28(sK24(sK57)),sK20(sK28(sK24(sK57))))
| ~ sP3(X1) )
| ~ spl64_301
| ~ spl64_600 ),
inference(forward_subsumption_resolution,[],[f4756,f2047]) ).
fof(f4766,definition,
( spl64_762
<=> r1(sK28(sK24(sK57)),sK20(sK28(sK24(sK57)))) ),
introduced(definition,[new_symbols(definition,[spl64_762])],[avatar_definition]) ).
fof(f4768,plain,
( r1(sK28(sK24(sK57)),sK20(sK28(sK24(sK57))))
| ~ spl64_762 ),
inference(avatar_component_clause,[],[f4766]) ).
fof(f4769,plain,
( spl64_762
| spl64_653
| spl64_654
| ~ spl64_301
| ~ spl64_600 ),
inference(avatar_split_clause,[],[f4764,f3818,f2045,f4123,f4120,f4766]) ).
fof(f4771,plain,
( ! [X0] :
( r1(sK24(sK57),sK27(sK24(sK57)))
| ~ r1(X0,sK24(sK57))
| r1(sK20(sK28(sK24(sK57))),sK29(sK20(sK28(sK24(sK57)))))
| ~ sP0(X0) )
| ~ spl64_762 ),
inference(resolution,[],[f4768,f94]) ).
fof(f4772,plain,
( ! [X0,X1] :
( ~ r1(sK27(sK24(sK57)),X0)
| ~ p2(X0)
| ~ r1(X1,sK24(sK57))
| r1(sK20(sK28(sK24(sK57))),sK29(sK20(sK28(sK24(sK57)))))
| ~ sP0(X1) )
| ~ spl64_762 ),
inference(resolution,[],[f4768,f90]) ).
fof(f4773,plain,
( ! [X0] :
( r1(sK24(sK57),sK27(sK24(sK57)))
| ~ r1(X0,sK24(sK57))
| p2(sK29(sK20(sK28(sK24(sK57)))))
| ~ sP0(X0) )
| ~ spl64_762 ),
inference(resolution,[],[f4768,f92]) ).
fof(f4774,plain,
( ! [X0,X1] :
( ~ r1(sK27(sK24(sK57)),X0)
| ~ p2(X0)
| ~ r1(X1,sK24(sK57))
| p2(sK29(sK20(sK28(sK24(sK57)))))
| ~ sP0(X1) )
| ~ spl64_762 ),
inference(resolution,[],[f4768,f88]) ).
fof(f4924,definition,
( spl64_792
<=> p2(sK29(sK20(sK28(sK24(sK57))))) ),
introduced(definition,[new_symbols(definition,[spl64_792])],[avatar_definition]) ).
fof(f4926,plain,
( p2(sK29(sK20(sK28(sK24(sK57)))))
| ~ spl64_792 ),
inference(avatar_component_clause,[],[f4924]) ).
fof(f4928,definition,
( spl64_793
<=> ! [X0] :
( ~ r1(sK27(sK24(sK57)),X0)
| ~ p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_793])],[avatar_definition]) ).
fof(f4929,plain,
( ! [X0] :
( ~ r1(sK27(sK24(sK57)),X0)
| ~ p2(X0) )
| ~ spl64_793 ),
inference(avatar_component_clause,[],[f4928]) ).
fof(f4930,plain,
( spl64_792
| spl64_761
| spl64_793
| ~ spl64_762 ),
inference(avatar_split_clause,[],[f4774,f4766,f4928,f4743,f4924]) ).
fof(f4931,plain,
( ! [X0] :
( ~ r1(X0,sK24(sK57))
| p2(sK29(sK20(sK28(sK24(sK57)))))
| ~ sP0(X0) )
| spl64_601
| ~ spl64_762 ),
inference(forward_subsumption_resolution,[],[f4773,f3823]) ).
fof(f4933,definition,
( spl64_794
<=> r1(sK20(sK28(sK24(sK57))),sK29(sK20(sK28(sK24(sK57))))) ),
introduced(definition,[new_symbols(definition,[spl64_794])],[avatar_definition]) ).
fof(f4935,plain,
( r1(sK20(sK28(sK24(sK57))),sK29(sK20(sK28(sK24(sK57)))))
| ~ spl64_794 ),
inference(avatar_component_clause,[],[f4933]) ).
fof(f4936,plain,
( spl64_794
| spl64_761
| spl64_793
| ~ spl64_762 ),
inference(avatar_split_clause,[],[f4772,f4766,f4928,f4743,f4933]) ).
fof(f4937,plain,
( ! [X0] :
( ~ r1(X0,sK24(sK57))
| r1(sK20(sK28(sK24(sK57))),sK29(sK20(sK28(sK24(sK57)))))
| ~ sP0(X0) )
| spl64_601
| ~ spl64_762 ),
inference(forward_subsumption_resolution,[],[f4771,f3823]) ).
fof(f4943,plain,
( spl64_792
| spl64_761
| spl64_601
| ~ spl64_762 ),
inference(avatar_split_clause,[],[f4931,f4766,f3822,f4743,f4924]) ).
fof(f4944,plain,
( spl64_794
| spl64_761
| spl64_601
| ~ spl64_762 ),
inference(avatar_split_clause,[],[f4937,f4766,f3822,f4743,f4933]) ).
fof(f4949,plain,
( p2(sK58(sK24(sK57)))
| ~ r1(sK57,sK24(sK57))
| ~ spl64_654 ),
inference(resolution,[],[f4124,f107]) ).
fof(f4950,plain,
( ~ r1(sK57,sK24(sK57))
| ~ spl64_654 ),
inference(forward_subsumption_resolution,[],[f4949,f106]) ).
fof(f4970,plain,
( $false
| ~ spl64_329
| ~ spl64_654 ),
inference(forward_subsumption_resolution,[],[f4950,f2195]) ).
fof(f4971,plain,
( ~ spl64_329
| ~ spl64_654 ),
inference(avatar_contradiction_clause,[],[f4970]) ).
fof(f4983,plain,
( ! [X0] :
( ~ r1(X0,sK24(sK57))
| p2(sK21(sK27(sK24(sK57))))
| r1(X0,sK23(X0))
| ~ sP2(X0) )
| ~ spl64_601 ),
inference(resolution,[],[f3824,f77]) ).
fof(f4984,plain,
( ! [X0] :
( ~ r1(X0,sK24(sK57))
| r1(sK27(sK24(sK57)),sK21(sK27(sK24(sK57))))
| r1(X0,sK23(X0))
| ~ sP2(X0) )
| ~ spl64_601 ),
inference(resolution,[],[f3824,f81]) ).
fof(f5458,plain,
( ~ sP2(sK57)
| r1(sK57,sK23(sK57))
| ~ spl64_329
| ~ spl64_638 ),
inference(resolution,[],[f4050,f2195]) ).
fof(f5459,plain,
( r1(sK57,sK23(sK57))
| ~ spl64_79
| ~ spl64_329
| ~ spl64_638 ),
inference(forward_subsumption_resolution,[],[f5458,f573]) ).
fof(f5460,plain,
( $false
| ~ spl64_79
| ~ spl64_329
| spl64_456
| ~ spl64_638 ),
inference(forward_subsumption_resolution,[],[f5459,f3048]) ).
fof(f5461,plain,
( ~ spl64_79
| ~ spl64_329
| spl64_456
| ~ spl64_638 ),
inference(avatar_contradiction_clause,[],[f5460]) ).
fof(f5625,definition,
( spl64_897
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK57,X0)
| p2(sK21(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl64_897])],[avatar_definition]) ).
fof(f5626,plain,
( ! [X0,X1] :
( ~ r1(sK57,X0)
| ~ r1(X0,X1)
| p2(sK21(X1)) )
| ~ spl64_897 ),
inference(avatar_component_clause,[],[f5625]) ).
fof(f5629,definition,
( spl64_898
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK57,X0)
| r1(X1,sK21(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl64_898])],[avatar_definition]) ).
fof(f5630,plain,
( ! [X0,X1] :
( ~ r1(sK57,X0)
| ~ r1(X0,X1)
| r1(X1,sK21(X1)) )
| ~ spl64_898 ),
inference(avatar_component_clause,[],[f5629]) ).
fof(f7148,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK21(X1))
| ~ r1(sK57,X0)
| ~ p2(sK17(sK23(sK57)))
| ~ sP2(sK57) )
| ~ spl64_460 ),
inference(resolution,[],[f3084,f80]) ).
fof(f7149,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK21(X1))
| ~ r1(sK57,X0)
| ~ p2(sK17(sK23(sK57)))
| ~ sP2(sK57) )
| ~ spl64_460 ),
inference(resolution,[],[f3084,f76]) ).
fof(f7168,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK21(X1))
| ~ r1(sK57,X0)
| ~ sP2(sK57) )
| ~ spl64_460
| ~ spl64_463 ),
inference(forward_subsumption_resolution,[],[f7149,f3097]) ).
fof(f7169,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK21(X1))
| ~ r1(sK57,X0)
| ~ sP2(sK57) )
| ~ spl64_460
| ~ spl64_463 ),
inference(forward_subsumption_resolution,[],[f7148,f3097]) ).
fof(f7170,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK21(X1))
| ~ r1(sK57,X0) )
| ~ spl64_79
| ~ spl64_460
| ~ spl64_463 ),
inference(forward_subsumption_resolution,[],[f7168,f573]) ).
fof(f7171,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK21(X1))
| ~ r1(sK57,X0) )
| ~ spl64_79
| ~ spl64_460
| ~ spl64_463 ),
inference(forward_subsumption_resolution,[],[f7169,f573]) ).
fof(f7172,plain,
( spl64_897
| ~ spl64_79
| ~ spl64_460
| ~ spl64_463 ),
inference(avatar_split_clause,[],[f7170,f3095,f3082,f571,f5625]) ).
fof(f7173,plain,
( spl64_898
| ~ spl64_79
| ~ spl64_460
| ~ spl64_463 ),
inference(avatar_split_clause,[],[f7171,f3095,f3082,f571,f5629]) ).
fof(f7174,plain,
( ~ sP4(sK53)
| ~ spl64_461 ),
inference(resolution,[],[f3087,f108]) ).
fof(f7175,plain,
( $false
| ~ spl64_77
| ~ spl64_461 ),
inference(forward_subsumption_resolution,[],[f7174,f563]) ).
fof(f7176,plain,
( ~ spl64_77
| ~ spl64_461 ),
inference(avatar_contradiction_clause,[],[f7175]) ).
fof(f7178,definition,
( spl64_1142
<=> r1(sK27(sK24(sK57)),sK21(sK27(sK24(sK57)))) ),
introduced(definition,[new_symbols(definition,[spl64_1142])],[avatar_definition]) ).
fof(f7179,plain,
( ~ r1(sK27(sK24(sK57)),sK21(sK27(sK24(sK57))))
| spl64_1142 ),
inference(avatar_component_clause,[],[f7178]) ).
fof(f7180,plain,
( r1(sK27(sK24(sK57)),sK21(sK27(sK24(sK57))))
| ~ spl64_1142 ),
inference(avatar_component_clause,[],[f7178]) ).
fof(f7181,plain,
( spl64_1142
| spl64_638
| ~ spl64_601 ),
inference(avatar_split_clause,[],[f4984,f3822,f4049,f7178]) ).
fof(f7183,definition,
( spl64_1143
<=> p2(sK21(sK27(sK24(sK57)))) ),
introduced(definition,[new_symbols(definition,[spl64_1143])],[avatar_definition]) ).
fof(f7184,plain,
( ~ p2(sK21(sK27(sK24(sK57))))
| spl64_1143 ),
inference(avatar_component_clause,[],[f7183]) ).
fof(f7185,plain,
( p2(sK21(sK27(sK24(sK57))))
| ~ spl64_1143 ),
inference(avatar_component_clause,[],[f7183]) ).
fof(f7186,plain,
( spl64_1143
| spl64_638
| ~ spl64_601 ),
inference(avatar_split_clause,[],[f4983,f3822,f4049,f7183]) ).
fof(f7212,plain,
( ! [X0] :
( ~ r1(X0,sK24(sK57))
| ~ p2(sK21(sK27(sK24(sK57))))
| r1(sK24(sK57),sK28(sK24(sK57)))
| ~ sP0(X0) )
| ~ spl64_1142 ),
inference(resolution,[],[f7180,f91]) ).
fof(f7231,plain,
( ! [X0] :
( ~ r1(X0,sK24(sK57))
| r1(sK24(sK57),sK28(sK24(sK57)))
| ~ sP0(X0) )
| ~ spl64_1142
| ~ spl64_1143 ),
inference(forward_subsumption_resolution,[],[f7212,f7185]) ).
fof(f7232,plain,
( ! [X0] :
( ~ r1(X0,sK24(sK57))
| ~ sP0(X0) )
| spl64_600
| ~ spl64_1142
| ~ spl64_1143 ),
inference(forward_subsumption_resolution,[],[f7231,f3819]) ).
fof(f7233,plain,
( spl64_761
| spl64_600
| ~ spl64_1142
| ~ spl64_1143 ),
inference(avatar_split_clause,[],[f7232,f7183,f7178,f3818,f4743]) ).
fof(f7234,plain,
( ~ sP0(sK57)
| ~ spl64_329
| ~ spl64_761 ),
inference(resolution,[],[f4744,f2195]) ).
fof(f7235,plain,
( $false
| ~ spl64_80
| ~ spl64_329
| ~ spl64_761 ),
inference(forward_subsumption_resolution,[],[f7234,f578]) ).
fof(f7236,plain,
( ~ spl64_80
| ~ spl64_329
| ~ spl64_761 ),
inference(avatar_contradiction_clause,[],[f7235]) ).
fof(f7290,plain,
( ~ p2(sK21(sK27(sK24(sK57))))
| ~ spl64_793
| ~ spl64_1142 ),
inference(resolution,[],[f4929,f7180]) ).
fof(f7398,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,sK28(sK24(sK57)))
| ~ r1(X2,X0)
| ~ p2(sK29(sK20(sK28(sK24(sK57)))))
| ~ sP3(X2) )
| ~ spl64_794 ),
inference(resolution,[],[f4935,f72]) ).
fof(f7531,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK28(sK24(sK57)))
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP3(X2) )
| ~ spl64_792
| ~ spl64_794 ),
inference(forward_subsumption_resolution,[],[f7398,f4926]) ).
fof(f7533,plain,
( ! [X0,X1] :
( p2(X0)
| ~ p2(sK24(sK57))
| ~ r1(sK24(sK57),X0)
| ~ r1(X1,sK24(sK57))
| ~ sP3(X1) )
| ~ spl64_600
| ~ spl64_792
| ~ spl64_794 ),
inference(resolution,[],[f7531,f3820]) ).
fof(f7534,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK24(sK57),X0)
| ~ r1(X1,sK24(sK57))
| ~ sP3(X1) )
| ~ spl64_301
| ~ spl64_600
| ~ spl64_792
| ~ spl64_794 ),
inference(forward_subsumption_resolution,[],[f7533,f2047]) ).
fof(f7535,plain,
( spl64_653
| spl64_654
| ~ spl64_301
| ~ spl64_600
| ~ spl64_792
| ~ spl64_794 ),
inference(avatar_split_clause,[],[f7534,f4933,f4924,f3818,f2045,f4123,f4120]) ).
fof(f7536,plain,
( p2(sK17(sK26(sK57)))
| ~ sP4(sK53)
| spl64_301 ),
inference(forward_subsumption_resolution,[],[f2703,f2046]) ).
fof(f7537,plain,
( ~ sP4(sK53)
| spl64_301
| spl64_328 ),
inference(forward_subsumption_resolution,[],[f7536,f2190]) ).
fof(f7538,plain,
( $false
| ~ spl64_77
| spl64_301
| spl64_328 ),
inference(forward_subsumption_resolution,[],[f7537,f563]) ).
fof(f7539,plain,
( ~ spl64_77
| spl64_301
| spl64_328 ),
inference(avatar_contradiction_clause,[],[f7538]) ).
fof(f7567,plain,
( ! [X0] :
( ~ r1(sK24(sK57),X0)
| p2(sK21(X0)) )
| ~ spl64_329
| ~ spl64_897 ),
inference(resolution,[],[f5626,f2195]) ).
fof(f7589,plain,
( p2(sK21(sK27(sK24(sK57))))
| ~ spl64_329
| ~ spl64_601
| ~ spl64_897 ),
inference(resolution,[],[f7567,f3824]) ).
fof(f7615,plain,
( ! [X0] :
( ~ r1(sK24(sK57),X0)
| r1(X0,sK21(X0)) )
| ~ spl64_329
| ~ spl64_898 ),
inference(resolution,[],[f5630,f2195]) ).
fof(f7628,plain,
( r1(sK27(sK24(sK57)),sK21(sK27(sK24(sK57))))
| ~ spl64_329
| ~ spl64_601
| ~ spl64_898 ),
inference(resolution,[],[f7615,f3824]) ).
fof(f7637,plain,
( $false
| ~ spl64_329
| ~ spl64_601
| ~ spl64_898
| spl64_1142 ),
inference(forward_subsumption_resolution,[],[f7628,f7179]) ).
fof(f7638,plain,
( ~ spl64_329
| ~ spl64_601
| ~ spl64_898
| spl64_1142 ),
inference(avatar_contradiction_clause,[],[f7637]) ).
fof(f7639,plain,
( ~ spl64_1143
| ~ spl64_793
| ~ spl64_1142 ),
inference(avatar_split_clause,[],[f7290,f7178,f4928,f7183]) ).
fof(f7640,plain,
( $false
| ~ spl64_329
| ~ spl64_601
| ~ spl64_897
| spl64_1143 ),
inference(forward_subsumption_resolution,[],[f7589,f7184]) ).
fof(f7641,plain,
( ~ spl64_329
| ~ spl64_601
| ~ spl64_897
| spl64_1143 ),
inference(avatar_contradiction_clause,[],[f7640]) ).
cnf(s47,plain,
( ~ spl64_77
| spl64_78 ),
inference(sat_conversion,[],[f569]) ).
cnf(s48,plain,
( ~ spl64_77
| spl64_79 ),
inference(sat_conversion,[],[f574]) ).
cnf(s49,plain,
( ~ spl64_77
| spl64_80 ),
inference(sat_conversion,[],[f579]) ).
cnf(s50,plain,
( ~ spl64_77
| spl64_81 ),
inference(sat_conversion,[],[f584]) ).
cnf(s104,plain,
spl64_77,
inference(sat_conversion,[],[f1075]) ).
cnf(s204,plain,
( ~ spl64_77
| spl64_300
| spl64_301 ),
inference(sat_conversion,[],[f2048]) ).
cnf(s221,plain,
( ~ spl64_81
| ~ spl64_300
| spl64_301
| ~ spl64_328 ),
inference(sat_conversion,[],[f2191]) ).
cnf(s222,plain,
( ~ spl64_81
| ~ spl64_300
| ~ spl64_328
| spl64_329 ),
inference(sat_conversion,[],[f2196]) ).
cnf(s298,plain,
( ~ spl64_77
| spl64_300
| spl64_329 ),
inference(sat_conversion,[],[f2872]) ).
cnf(s317,plain,
( ~ spl64_456
| spl64_460
| spl64_461 ),
inference(sat_conversion,[],[f3088]) ).
cnf(s319,plain,
( ~ spl64_456
| spl64_461
| spl64_463 ),
inference(sat_conversion,[],[f3098]) ).
cnf(s384,plain,
( ~ spl64_77
| spl64_328
| spl64_329 ),
inference(sat_conversion,[],[f3740]) ).
cnf(s396,plain,
( ~ spl64_80
| ~ spl64_329
| spl64_600
| spl64_601 ),
inference(sat_conversion,[],[f3825]) ).
cnf(s494,plain,
( ~ spl64_78
| ~ spl64_329
| ~ spl64_653 ),
inference(sat_conversion,[],[f4588]) ).
cnf(s514,plain,
( ~ spl64_301
| ~ spl64_600
| spl64_653
| spl64_654
| spl64_762 ),
inference(sat_conversion,[],[f4769]) ).
cnf(s533,plain,
( spl64_761
| ~ spl64_762
| spl64_792
| spl64_793 ),
inference(sat_conversion,[],[f4930]) ).
cnf(s534,plain,
( spl64_761
| ~ spl64_762
| spl64_793
| spl64_794 ),
inference(sat_conversion,[],[f4936]) ).
cnf(s536,plain,
( spl64_601
| spl64_761
| ~ spl64_762
| spl64_792 ),
inference(sat_conversion,[],[f4943]) ).
cnf(s537,plain,
( spl64_601
| spl64_761
| ~ spl64_762
| spl64_794 ),
inference(sat_conversion,[],[f4944]) ).
cnf(s540,plain,
( ~ spl64_329
| ~ spl64_654 ),
inference(sat_conversion,[],[f4971]) ).
cnf(s589,plain,
( ~ spl64_79
| ~ spl64_329
| spl64_456
| ~ spl64_638 ),
inference(sat_conversion,[],[f5461]) ).
cnf(s776,plain,
( ~ spl64_79
| ~ spl64_460
| ~ spl64_463
| spl64_897 ),
inference(sat_conversion,[],[f7172]) ).
cnf(s777,plain,
( ~ spl64_79
| ~ spl64_460
| ~ spl64_463
| spl64_898 ),
inference(sat_conversion,[],[f7173]) ).
cnf(s778,plain,
( ~ spl64_77
| ~ spl64_461 ),
inference(sat_conversion,[],[f7176]) ).
cnf(s779,plain,
( ~ spl64_601
| spl64_638
| spl64_1142 ),
inference(sat_conversion,[],[f7181]) ).
cnf(s780,plain,
( ~ spl64_601
| spl64_638
| spl64_1143 ),
inference(sat_conversion,[],[f7186]) ).
cnf(s785,plain,
( spl64_600
| spl64_761
| ~ spl64_1142
| ~ spl64_1143 ),
inference(sat_conversion,[],[f7233]) ).
cnf(s786,plain,
( ~ spl64_80
| ~ spl64_329
| ~ spl64_761 ),
inference(sat_conversion,[],[f7236]) ).
cnf(s817,plain,
( ~ spl64_301
| ~ spl64_600
| spl64_653
| spl64_654
| ~ spl64_792
| ~ spl64_794 ),
inference(sat_conversion,[],[f7535]) ).
cnf(s818,plain,
( ~ spl64_77
| spl64_301
| spl64_328 ),
inference(sat_conversion,[],[f7539]) ).
cnf(s823,plain,
( ~ spl64_329
| ~ spl64_601
| ~ spl64_898
| spl64_1142 ),
inference(sat_conversion,[],[f7638]) ).
cnf(s824,plain,
( ~ spl64_793
| ~ spl64_1142
| ~ spl64_1143 ),
inference(sat_conversion,[],[f7639]) ).
cnf(s825,plain,
( ~ spl64_329
| ~ spl64_601
| ~ spl64_897
| spl64_1143 ),
inference(sat_conversion,[],[f7641]) ).
cnf(s828,plain,
~ spl64_461,
inference(rat,[],[s778,s104]) ).
cnf(s837,plain,
spl64_81,
inference(rat,[],[s50,s104]) ).
cnf(s838,plain,
spl64_80,
inference(rat,[],[s49,s104]) ).
cnf(s839,plain,
spl64_79,
inference(rat,[],[s48,s104]) ).
cnf(s840,plain,
spl64_78,
inference(rat,[],[s47,s104]) ).
cnf(s848,plain,
( spl64_600
| spl64_638
| ~ spl64_329 ),
inference(rat,[],[s785,s779,s780,s396,s786,s838]) ).
cnf(s849,plain,
( spl64_793
| ~ spl64_600
| spl64_300 ),
inference(rat,[],[s817,s533,s534,s786,s514,s204,s540,s494,s298,s840,s104,s838]) ).
cnf(s850,plain,
( ~ spl64_601
| ~ spl64_793
| spl64_638 ),
inference(rat,[],[s824,s779,s780]) ).
cnf(s851,plain,
( spl64_638
| spl64_300 ),
inference(rat,[],[s817,s536,s537,s850,s849,s514,s848,s204,s786,s540,s494,s298,s840,s104,s838]) ).
cnf(s852,plain,
( ~ spl64_601
| ~ spl64_793
| spl64_300 ),
inference(rat,[],[s824,s823,s825,s777,s776,s317,s319,s589,s851,s298,s828,s104,s839]) ).
cnf(s853,plain,
( ~ spl64_600
| spl64_300 ),
inference(rat,[],[s817,s536,s537,s852,s849,s514,s204,s786,s540,s494,s298,s840,s104,s838]) ).
cnf(s854,plain,
spl64_300,
inference(rat,[],[s785,s823,s825,s396,s853,s776,s777,s317,s319,s589,s851,s786,s298,s838,s839,s828,s104]) ).
cnf(s855,plain,
( ~ spl64_329
| ~ spl64_793
| ~ spl64_601 ),
inference(rat,[],[s824,s825,s823,s776,s777,s317,s319,s589,s850,s839,s828]) ).
cnf(s856,plain,
spl64_329,
inference(rat,[],[s222,s384,s837,s854,s104]) ).
cnf(s857,plain,
~ spl64_761,
inference(rat,[],[s786,s838,s856]) ).
cnf(s858,plain,
~ spl64_654,
inference(rat,[],[s540,s856]) ).
cnf(s859,plain,
~ spl64_653,
inference(rat,[],[s494,s840,s856]) ).
cnf(s863,plain,
( ~ spl64_301
| spl64_793
| ~ spl64_600 ),
inference(rat,[],[s817,s533,s534,s514,s858,s859,s857]) ).
cnf(s864,plain,
spl64_301,
inference(rat,[],[s221,s818,s837,s854,s104]) ).
cnf(s866,plain,
~ spl64_600,
inference(rat,[],[s817,s536,s537,s855,s863,s514,s864,s858,s859,s857,s856]) ).
cnf(s867,plain,
spl64_601,
inference(rat,[],[s396,s856,s838,s866]) ).
cnf(s868,plain,
spl64_638,
inference(rat,[],[s848,s856,s866]) ).
cnf(s871,plain,
spl64_456,
inference(rat,[],[s589,s856,s839,s868]) ).
cnf(s873,plain,
spl64_463,
inference(rat,[],[s319,s828,s871]) ).
cnf(s875,plain,
spl64_460,
inference(rat,[],[s317,s828,s871]) ).
cnf(s876,plain,
spl64_898,
inference(rat,[],[s777,s873,s839,s875]) ).
cnf(s877,plain,
spl64_897,
inference(rat,[],[s776,s873,s839,s875]) ).
cnf(s878,plain,
spl64_1142,
inference(rat,[],[s823,s867,s856,s876]) ).
cnf(s879,plain,
spl64_1143,
inference(rat,[],[s825,s867,s856,s877]) ).
cnf(s880,plain,
$false,
inference(rat,[],[s785,s866,s857,s879,s878]) ).
fof(f7642,plain,
$false,
inference(avatar_sat_refutation,[],[s880]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL652+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n006.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 16:16:40 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.15/1.66 % (3146350)Detected formulas, will run a generic FOF schedule.
% 5.15/1.66 % (3146355)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1399240167:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.15/1.66 % (3146360)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=317299085:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.15/1.66 % (3146357)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1956250080:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.15/1.66 % (3146361)dis-21_1_sil=8000:lcm=predicate:random_seed=1288101791:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.15/1.66 % (3146356)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2177130936:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.15/1.66 % (3146358)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=982902477:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.15/1.66 % (3146359)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3999309980:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.15/1.66 % (3146361)Instruction limit reached!
% 5.15/1.66 % (3146361)------------------------------
% 5.15/1.66 % (3146361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (3146361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (3146361)CaDiCaL version: 2.1.3
% 5.15/1.66 % (3146361)Termination reason: Instruction limit
% 5.15/1.66 % (3146361)Termination phase: Saturation
% 5.15/1.66 % (3146361)Time elapsed: 0.054 s
% 5.15/1.66 % (3146361)Peak memory usage: 88 MB
% 5.15/1.66 % (3146361)Instructions burned: 130 (million)
% 5.15/1.66 % (3146358)Instruction limit reached!
% 5.15/1.66 % (3146358)------------------------------
% 5.15/1.66 % (3146358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (3146358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (3146358)CaDiCaL version: 2.1.3
% 5.15/1.66 % (3146358)Termination reason: Instruction limit
% 5.15/1.66 % (3146358)Termination phase: Saturation
% 5.15/1.66 % (3146358)Time elapsed: 0.060 s
% 5.15/1.66 % (3146358)Peak memory usage: 93 MB
% 5.15/1.66 % (3146358)Instructions burned: 110 (million)
% 5.15/1.66 % (3146359)Instruction limit reached!
% 5.15/1.66 % (3146359)------------------------------
% 5.15/1.66 % (3146359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (3146359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (3146359)CaDiCaL version: 2.1.3
% 5.15/1.66 % (3146359)Termination reason: Instruction limit
% 5.15/1.66 % (3146359)Termination phase: Saturation
% 5.15/1.66 % (3146359)Time elapsed: 0.065 s
% 5.15/1.66 % (3146359)Peak memory usage: 88 MB
% 5.15/1.66 % (3146359)Instructions burned: 119 (million)
% 5.15/1.66 % (3146360)Instruction limit reached!
% 5.15/1.66 % (3146360)------------------------------
% 5.15/1.66 % (3146360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (3146360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (3146360)CaDiCaL version: 2.1.3
% 5.15/1.66 % (3146360)Termination reason: Instruction limit
% 5.15/1.66 % (3146360)Termination phase: Saturation
% 5.15/1.66 % (3146360)Time elapsed: 0.090 s
% 5.15/1.66 % (3146360)Peak memory usage: 90 MB
% 5.15/1.66 % (3146360)Instructions burned: 140 (million)
% 5.15/1.66 % (3146369)lrs+10_1_sil=8000:sp=occurrence:random_seed=2239045493:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.15/1.66 % (3146371)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1337555944:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.15/1.66 % (3146370)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3417843155:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.15/1.66 % (3146372)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=377612994:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.15/1.66 % (3146370)Refutation not found, incomplete strategy
% 5.15/1.66 % (3146370)------------------------------
% 5.15/1.66 % (3146370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (3146370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (3146370)CaDiCaL version: 2.1.3
% 5.15/1.66 % (3146370)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.66 % (3146370)Time elapsed: 0.037 s
% 5.15/1.66 % (3146370)Peak memory usage: 89 MB
% 5.15/1.66 % (3146370)Instructions burned: 73 (million)
% 5.15/1.66 % (3146372)Refutation not found, incomplete strategy
% 5.15/1.66 % (3146372)------------------------------
% 5.15/1.66 % (3146372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (3146372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (3146372)CaDiCaL version: 2.1.3
% 5.15/1.66 % (3146372)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.66 % (3146372)Time elapsed: 0.038 s
% 5.15/1.66 % (3146372)Peak memory usage: 89 MB
% 5.15/1.66 % (3146372)Instructions burned: 75 (million)
% 5.15/1.66 % (3146369)Instruction limit reached!
% 5.15/1.66 % (3146369)------------------------------
% 5.15/1.66 % (3146369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (3146369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (3146369)CaDiCaL version: 2.1.3
% 5.15/1.66 % (3146369)Termination reason: Instruction limit
% 5.15/1.66 % (3146369)Termination phase: Saturation
% 5.15/1.66 % (3146369)Time elapsed: 0.150 s
% 5.15/1.66 % (3146369)Peak memory usage: 93 MB
% 5.15/1.66 % (3146369)Instructions burned: 285 (million)
% 5.15/1.66 % (3146371)Instruction limit reached!
% 5.15/1.66 % (3146371)------------------------------
% 5.15/1.66 % (3146371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (3146371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (3146371)CaDiCaL version: 2.1.3
% 5.15/1.66 % (3146371)Termination reason: Instruction limit
% 5.15/1.66 % (3146371)Termination phase: Saturation
% 5.15/1.66 % (3146371)Time elapsed: 0.192 s
% 5.15/1.66 % (3146371)Peak memory usage: 93 MB
% 5.15/1.66 % (3146371)Instructions burned: 325 (million)
% 5.15/1.66 % (3146355)First to succeed.
% 5.15/1.66 % (3146355)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3146350"
% 5.15/1.66 % (3146370)------------------------------
% 5.15/1.66 % (3146370)------------------------------
% 5.15/1.66 % (3146372)------------------------------
% 5.15/1.66 % (3146372)------------------------------
% 5.15/1.66 % (3146377)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=796917185:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.15/1.66 % (3146378)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=557361417:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.15/1.66 % (3146355)Refutation found. Thanks to Tanya!
% 5.15/1.66 % SZS status Theorem for theBenchmark
% 5.15/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 6.08/1.76 % (3146355)------------------------------
% 6.08/1.76 % (3146355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.76 % (3146355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.76 % (3146355)CaDiCaL version: 2.1.3
% 6.08/1.76 % (3146355)Termination reason: Refutation
% 6.08/1.76 % (3146355)Time elapsed: 0.492 s
% 6.08/1.76 % (3146355)Peak memory usage: 135 MB
% 6.08/1.76 % (3146355)Instructions burned: 1324 (million)
% 6.08/1.76 % (3146355)------------------------------
% 6.08/1.76 % (3146355)------------------------------
% 6.08/1.76 % (3146350)Success in time 0.791 s
% 6.08/1.76 % Vampire exiting
%------------------------------------------------------------------------------