%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL642+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:59:08 AM UTC 2026
% Result : Theorem 0.42s 0.47s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 40
% Syntax : Number of formulae : 323 ( 16 unt; 39 def)
% Number of atoms : 2806 ( 0 equ)
% Maximal formula atoms : 191 ( 8 avg)
% Number of connectives : 4164 (1681 ~;1953 |; 499 &)
% ( 31 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 32 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 13 con; 0-1 aty)
% Number of variables : 960 ( 0 sgn 775 !; 185 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] :
( ~ r1(X0,X52)
| $false )
| ~ ! [X53] :
( ~ r1(X0,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] :
( ~ r1(X53,X54)
| $false )
| ~ ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] :
( ~ r1(X56,X57)
| $false ) )
| ~ ( p4(X55)
| p3(X55)
| p2(X55)
| p1(X55)
| ! [X58] :
( ~ r1(X55,X58)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] :
( ~ r1(X0,X59)
| $false )
| ~ ! [X60] :
( ~ r1(X0,X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| $false )
| ~ ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] :
( ~ r1(X63,X64)
| $false ) )
| ~ ( p3(X62)
| p2(X62)
| p1(X62)
| ! [X65] :
( ~ r1(X62,X65)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] :
( ~ r1(X0,X66)
| $false )
| ~ ! [X67] :
( ~ r1(X0,X67)
| p2(X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| $false )
| ~ ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] :
( ~ r1(X70,X71)
| $false ) )
| ~ ( p2(X69)
| p1(X69)
| ! [X72] :
( ~ r1(X69,X72)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X73] :
( ~ r1(X0,X73)
| $false )
| ~ ! [X74] :
( ~ r1(X0,X74)
| p1(X74)
| ! [X75] :
( ~ r1(X74,X75)
| $false )
| ~ ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] :
( ~ r1(X77,X78)
| $false ) )
| ~ ( p1(X76)
| ! [X79] :
( ~ r1(X76,X79)
| $false ) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ~ ! [X81] :
( ~ r1(X80,X81)
| p2(X81)
| ~ ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ~ ! [X53] :
( ~ r1(X0,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] : ~ r1(X53,X54)
| ~ ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ~ ( p4(X55)
| p3(X55)
| p2(X55)
| p1(X55)
| ! [X58] : ~ r1(X55,X58) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ~ ! [X60] :
( ~ r1(X0,X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61)
| ~ ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ~ ( p3(X62)
| p2(X62)
| p1(X62)
| ! [X65] : ~ r1(X62,X65) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ~ ! [X67] :
( ~ r1(X0,X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68)
| ~ ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ~ ( p2(X69)
| p1(X69)
| ! [X72] : ~ r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ~ ! [X74] :
( ~ r1(X0,X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75)
| ~ ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ~ ( p1(X76)
| ! [X79] : ~ r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ~ ! [X81] :
( ~ r1(X80,X81)
| p2(X81)
| ~ ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ~ ! [X53] :
( ~ r1(X0,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] : ~ r1(X53,X54)
| ~ ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ~ ( p4(X55)
| p3(X55)
| p2(X55)
| p1(X55)
| ! [X58] : ~ r1(X55,X58) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ~ ! [X60] :
( ~ r1(X0,X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61)
| ~ ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ~ ( p3(X62)
| p2(X62)
| p1(X62)
| ! [X65] : ~ r1(X62,X65) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ~ ! [X67] :
( ~ r1(X0,X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68)
| ~ ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ~ ( p2(X69)
| p1(X69)
| ! [X72] : ~ r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ~ ! [X74] :
( ~ r1(X0,X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75)
| ~ ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ~ ( p1(X76)
| ! [X79] : ~ r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ~ ! [X81] :
( ~ r1(X80,X81)
| p2(X81)
| ~ ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ? [X22] :
( r1(X0,X22)
& ( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ? [X53] :
( r1(X0,X53)
& ~ p4(X53)
& ~ p3(X53)
& ~ p2(X53)
& ~ p1(X53)
& ? [X54] : r1(X53,X54)
& ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ( ~ p4(X55)
& ~ p3(X55)
& ~ p2(X55)
& ~ p1(X55)
& ? [X58] : r1(X55,X58) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ? [X60] :
( r1(X0,X60)
& ~ p3(X60)
& ~ p2(X60)
& ~ p1(X60)
& ? [X61] : r1(X60,X61)
& ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ( ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X65] : r1(X62,X65) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ? [X67] :
( r1(X0,X67)
& ~ p2(X67)
& ~ p1(X67)
& ? [X68] : r1(X67,X68)
& ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ( ~ p2(X69)
& ~ p1(X69)
& ? [X72] : r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ? [X74] :
( r1(X0,X74)
& ~ p1(X74)
& ? [X75] : r1(X74,X75)
& ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ( ~ p1(X76)
& ? [X79] : r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ? [X81] :
( r1(X80,X81)
& ~ p2(X81)
& ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ? [X22] :
( r1(X0,X22)
& ( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ? [X53] :
( r1(X0,X53)
& ~ p4(X53)
& ~ p3(X53)
& ~ p2(X53)
& ~ p1(X53)
& ? [X54] : r1(X53,X54)
& ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ( ~ p4(X55)
& ~ p3(X55)
& ~ p2(X55)
& ~ p1(X55)
& ? [X58] : r1(X55,X58) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ? [X60] :
( r1(X0,X60)
& ~ p3(X60)
& ~ p2(X60)
& ~ p1(X60)
& ? [X61] : r1(X60,X61)
& ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ( ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X65] : r1(X62,X65) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ? [X67] :
( r1(X0,X67)
& ~ p2(X67)
& ~ p1(X67)
& ? [X68] : r1(X67,X68)
& ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ( ~ p2(X69)
& ~ p1(X69)
& ? [X72] : r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ? [X74] :
( r1(X0,X74)
& ~ p1(X74)
& ? [X75] : r1(X74,X75)
& ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ( ~ p1(X76)
& ? [X79] : r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ? [X81] :
( r1(X80,X81)
& ~ p2(X81)
& ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,definition,
! [X60] :
( ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ( ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X65] : r1(X62,X65) ) )
| ~ sP0(X60) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X53] :
( ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ( ~ p4(X55)
& ~ p3(X55)
& ~ p2(X55)
& ~ p1(X55)
& ? [X58] : r1(X55,X58) ) )
| ~ sP1(X53) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X33] :
( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ~ sP2(X33) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X32] :
( ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ~ sP3(X32) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( sP2(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ~ sP4(X32) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X22] :
( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ~ sP5(X22) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X0] :
( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ~ sP6(X0) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X0] :
( ( ( sP6(X0)
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ~ sP7(X0) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f16,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( sP7(X0)
| ? [X22] :
( r1(X0,X22)
& ( sP5(X22)
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| sP4(X32)
| sP3(X32)
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ? [X53] :
( r1(X0,X53)
& ~ p4(X53)
& ~ p3(X53)
& ~ p2(X53)
& ~ p1(X53)
& ? [X54] : r1(X53,X54)
& sP1(X53) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ? [X60] :
( r1(X0,X60)
& ~ p3(X60)
& ~ p2(X60)
& ~ p1(X60)
& ? [X61] : r1(X60,X61)
& sP0(X60) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ? [X67] :
( r1(X0,X67)
& ~ p2(X67)
& ~ p1(X67)
& ? [X68] : r1(X67,X68)
& ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ( ~ p2(X69)
& ~ p1(X69)
& ? [X72] : r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ? [X74] :
( r1(X0,X74)
& ~ p1(X74)
& ? [X75] : r1(X74,X75)
& ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ( ~ p1(X76)
& ? [X79] : r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ? [X81] :
( r1(X80,X81)
& ~ p2(X81)
& ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ),
inference(definition_folding,[],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f17,plain,
! [X0] :
( ( ( sP6(X0)
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f18,plain,
! [X0] :
( ( ( sP6(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ? [X4] :
( r1(X0,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) )
| ~ sP7(X0) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ( ( sP6(X0)
| ( r1(X0,sK8(X0))
& ~ p2(sK8(X0))
& ! [X2] :
( ~ r1(sK8(X0),X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ( r1(X0,sK9(X0))
& r1(sK9(X0),sK10(X0))
& ~ p2(sK10(X0))
& p2(sK9(X0)) ) ) )
| ~ sP7(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X4,sK9(X0)),skolemize(X5,sK10(X0))],[f18]) ).
fof(f20,plain,
! [X0] :
( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ( r1(X2,sK11(X2))
& r1(sK11(X2),sK12(X2))
& ~ p2(sK12(X2))
& p2(sK11(X2)) ) ) )
| ~ sP6(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X3,sK11(X2)),skolemize(X4,sK12(X2))],[f21]) ).
fof(f23,plain,
! [X22] :
( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ~ sP5(X22) ),
inference(nnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( r1(X0,sK13(X0))
& r1(sK13(X0),sK14(X0))
& ~ p2(sK14(X0))
& ! [X3] :
( ~ r1(sK14(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK15(X5))
& r1(sK15(X5),sK16(X5))
& ~ p2(sK16(X5))
& p2(sK15(X5)) ) ) )
| ~ sP5(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0)),skolemize(X6,sK15(X5)),skolemize(X7,sK16(X5))],[f24]) ).
fof(f26,plain,
! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( sP2(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ~ sP4(X32) ),
inference(nnf_transformation,[],[f12]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP2(X1)
| ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ? [X5] :
( r1(X1,X5)
& ? [X6] :
( r1(X5,X6)
& ~ p2(X6) )
& p2(X5) ) ) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP2(X1)
| ( r1(X1,sK17(X1))
& ~ p2(sK17(X1))
& ! [X3] :
( ~ r1(sK17(X1),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ( r1(X1,sK18(X1))
& r1(sK18(X1),sK19(X1))
& ~ p2(sK19(X1))
& p2(sK18(X1)) ) ) ) )
| ~ sP4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X2,sK17(X1)),skolemize(X5,sK18(X1)),skolemize(X6,sK19(X1))],[f27]) ).
fof(f29,plain,
! [X32] :
( ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ~ sP3(X32) ),
inference(nnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ( r1(X0,sK20(X0))
& r1(sK20(X0),sK21(X0))
& ~ p2(sK21(X0))
& ! [X3] :
( ~ r1(sK21(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK22(X5))
& r1(sK22(X5),sK23(X5))
& ~ p2(sK23(X5))
& p2(sK22(X5)) ) ) )
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X6,sK22(X5)),skolemize(X7,sK23(X5))],[f30]) ).
fof(f41,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( sP7(X0)
| ? [X13] :
( r1(X0,X13)
& ( sP5(X13)
| ( ~ p2(X13)
& ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(X13,X16)
| sP4(X16)
| sP3(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X19] : ~ r1(X0,X19)
| ? [X20] :
( r1(X0,X20)
& ~ p4(X20)
& ~ p3(X20)
& ~ p2(X20)
& ~ p1(X20)
& ? [X21] : r1(X20,X21)
& sP1(X20) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X22] : ~ r1(X0,X22)
| ? [X23] :
( r1(X0,X23)
& ~ p3(X23)
& ~ p2(X23)
& ~ p1(X23)
& ? [X24] : r1(X23,X24)
& sP0(X23) ) )
& ( p2(X0)
| p1(X0)
| ! [X25] : ~ r1(X0,X25)
| ? [X26] :
( r1(X0,X26)
& ~ p2(X26)
& ~ p1(X26)
& ? [X27] : r1(X26,X27)
& ! [X28] :
( ~ r1(X26,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29)
| p1(X29)
| ! [X30] : ~ r1(X29,X30) )
| ( ~ p2(X28)
& ~ p1(X28)
& ? [X31] : r1(X28,X31) ) ) ) )
& ( p1(X0)
| ! [X32] : ~ r1(X0,X32)
| ? [X33] :
( r1(X0,X33)
& ~ p1(X33)
& ? [X34] : r1(X33,X34)
& ! [X35] :
( ~ r1(X33,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36)
| ! [X37] : ~ r1(X36,X37) )
| ( ~ p1(X35)
& ? [X38] : r1(X35,X38) ) ) ) )
& ! [X39] :
( ~ r1(X0,X39)
| p2(X39)
| ? [X40] :
( r1(X39,X40)
& ~ p2(X40)
& ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) ),
inference(rectify,[],[f16]) ).
fof(f42,plain,
( r1(sK28,sK29)
& ~ p3(sK29)
& ! [X2] :
( ~ r1(sK28,X2)
| p3(X2)
| ( r1(X2,sK30(X2))
& r1(sK30(X2),sK31(X2))
& ~ p3(sK31(X2))
& p3(sK30(X2)) ) )
& r1(sK28,sK32)
& ~ p2(sK32)
& ! [X6] :
( ~ r1(sK28,X6)
| p2(X6)
| ( r1(X6,sK33(X6))
& r1(sK33(X6),sK34(X6))
& ~ p2(sK34(X6))
& p2(sK33(X6)) ) )
& r1(sK28,sK35)
& ~ p1(sK35)
& ! [X10] :
( ~ r1(sK28,X10)
| p1(X10)
| ( r1(X10,sK36(X10))
& r1(sK36(X10),sK37(X10))
& ~ p1(sK37(X10))
& p1(sK36(X10)) ) )
& ( sP7(sK28)
| ( r1(sK28,sK38)
& ( sP5(sK38)
| ( ~ p2(sK38)
& ! [X14] :
( ~ r1(sK38,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(sK38,X16)
| sP4(X16)
| sP3(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) ) ) )
& ( p4(sK28)
| p3(sK28)
| p2(sK28)
| p1(sK28)
| ! [X19] : ~ r1(sK28,X19)
| ( r1(sK28,sK39)
& ~ p4(sK39)
& ~ p3(sK39)
& ~ p2(sK39)
& ~ p1(sK39)
& r1(sK39,sK40)
& sP1(sK39) ) )
& ( p3(sK28)
| p2(sK28)
| p1(sK28)
| ! [X22] : ~ r1(sK28,X22)
| ( r1(sK28,sK41)
& ~ p3(sK41)
& ~ p2(sK41)
& ~ p1(sK41)
& r1(sK41,sK42)
& sP0(sK41) ) )
& ( p2(sK28)
| p1(sK28)
| ! [X25] : ~ r1(sK28,X25)
| ( r1(sK28,sK43)
& ~ p2(sK43)
& ~ p1(sK43)
& r1(sK43,sK44)
& ! [X28] :
( ~ r1(sK43,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29)
| p1(X29)
| ! [X30] : ~ r1(X29,X30) )
| ( ~ p2(X28)
& ~ p1(X28)
& r1(X28,sK45(X28)) ) ) ) )
& ( p1(sK28)
| ! [X32] : ~ r1(sK28,X32)
| ( r1(sK28,sK46)
& ~ p1(sK46)
& r1(sK46,sK47)
& ! [X35] :
( ~ r1(sK46,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36)
| ! [X37] : ~ r1(X36,X37) )
| ( ~ p1(X35)
& r1(X35,sK48(X35)) ) ) ) )
& ! [X39] :
( ~ r1(sK28,X39)
| p2(X39)
| ( r1(X39,sK49(X39))
& ~ p2(sK49(X39))
& ! [X41] :
( ~ r1(sK49(X39),X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49]),skolemize(X0,sK28),skolemize(X1,sK29),skolemize(X3,sK30(X2)),skolemize(X4,sK31(X2)),skolemize(X5,sK32),skolemize(X7,sK33(X6)),skolemize(X8,sK34(X6)),skolemize(X9,sK35),skolemize(X11,sK36(X10)),skolemize(X12,sK37(X10)),skolemize(X13,sK38),skolemize(X20,sK39),skolemize(X21,sK40),skolemize(X23,sK41),skolemize(X24,sK42),skolemize(X26,sK43),skolemize(X27,sK44),skolemize(X31,sK45(X28)),skolemize(X33,sK46),skolemize(X34,sK47),skolemize(X38,sK48(X35)),skolemize(X40,sK49(X39))],[f41]) ).
fof(f47,plain,
! [X2,X3,X0] :
( ~ sP7(X0)
| ~ r1(sK8(X0),X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| sP6(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f48,plain,
! [X0] :
( ~ sP7(X0)
| ~ p2(sK8(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
! [X0] :
( ~ sP7(X0)
| r1(X0,sK8(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,X2)
| p2(X2)
| p2(sK11(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,X2)
| p2(X2)
| ~ p2(sK12(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,X2)
| p2(X2)
| r1(sK11(X2),sK12(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,X2)
| p2(X2)
| r1(X2,sK11(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f54,plain,
! [X0,X5] :
( ~ sP5(X0)
| p2(X5)
| p2(sK15(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X0,X5] :
( ~ sP5(X0)
| p2(X5)
| ~ p2(sK16(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
! [X0,X5] :
( ~ sP5(X0)
| p2(X5)
| r1(sK15(X5),sK16(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f25]) ).
fof(f57,plain,
! [X0,X5] :
( ~ sP5(X0)
| p2(X5)
| r1(X5,sK15(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
! [X3,X0,X4] :
( ~ sP5(X0)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3)
| ~ r1(sK14(X0),X3) ),
inference(cnf_transformation,[],[f25]) ).
fof(f59,plain,
! [X0] :
( ~ sP5(X0)
| ~ p2(sK14(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
! [X0] :
( ~ sP5(X0)
| r1(sK13(X0),sK14(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f61,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sP4(X0)
| p2(X1)
| p2(sK18(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f63,plain,
! [X0,X1] :
( ~ sP4(X0)
| p2(X1)
| ~ p2(sK19(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f64,plain,
! [X0,X1] :
( ~ sP4(X0)
| p2(X1)
| r1(sK18(X1),sK19(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f65,plain,
! [X0,X1] :
( ~ sP4(X0)
| p2(X1)
| r1(X1,sK18(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f69,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| p2(sK22(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f31]) ).
fof(f70,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| ~ p2(sK23(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f31]) ).
fof(f71,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| r1(sK22(X5),sK23(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f31]) ).
fof(f72,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| r1(X5,sK22(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f31]) ).
fof(f90,plain,
! [X41,X39,X42] :
( ~ p2(X41)
| p2(X39)
| ~ r1(sK49(X39),X41)
| ~ r1(X41,X42)
| p2(X42)
| ~ r1(sK28,X39) ),
inference(cnf_transformation,[],[f42]) ).
fof(f91,plain,
! [X39] :
( ~ p2(sK49(X39))
| p2(X39)
| ~ r1(sK28,X39) ),
inference(cnf_transformation,[],[f42]) ).
fof(f92,plain,
! [X39] :
( ~ r1(sK28,X39)
| p2(X39)
| r1(X39,sK49(X39)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f118,plain,
! [X18,X16,X17] :
( sP7(sK28)
| ~ r1(sK38,X16)
| sP4(X16)
| sP3(X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p2(X18)
| ~ p2(X17) ),
inference(cnf_transformation,[],[f42]) ).
fof(f119,plain,
! [X16] :
( sP7(sK28)
| ~ r1(sK38,X16)
| sP4(X16)
| sP3(X16)
| ~ p2(X16) ),
inference(cnf_transformation,[],[f42]) ).
fof(f120,plain,
! [X14,X15] :
( sP7(sK28)
| sP5(sK38)
| ~ r1(sK38,X14)
| ~ r1(X14,X15)
| p2(X15)
| ~ p2(X14) ),
inference(cnf_transformation,[],[f42]) ).
fof(f121,plain,
( sP7(sK28)
| sP5(sK38)
| ~ p2(sK38) ),
inference(cnf_transformation,[],[f42]) ).
fof(f122,plain,
( sP7(sK28)
| r1(sK28,sK38) ),
inference(cnf_transformation,[],[f42]) ).
fof(f129,plain,
! [X6] :
( ~ r1(sK28,X6)
| p2(X6)
| p2(sK33(X6)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f130,plain,
! [X6] :
( ~ p2(sK34(X6))
| p2(X6)
| ~ r1(sK28,X6) ),
inference(cnf_transformation,[],[f42]) ).
fof(f131,plain,
! [X6] :
( ~ r1(sK28,X6)
| p2(X6)
| r1(sK33(X6),sK34(X6)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f132,plain,
! [X6] :
( ~ r1(sK28,X6)
| p2(X6)
| r1(X6,sK33(X6)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f133,plain,
~ p2(sK32),
inference(cnf_transformation,[],[f42]) ).
fof(f134,plain,
r1(sK28,sK32),
inference(cnf_transformation,[],[f42]) ).
fof(f281,definition,
( spl50_31
<=> ! [X18,X16,X17] :
( ~ r1(sK38,X16)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP3(X16)
| sP4(X16) ) ),
introduced(definition,[new_symbols(definition,[spl50_31])],[avatar_definition]) ).
fof(f282,plain,
( ! [X18,X16,X17] :
( ~ p2(X17)
| ~ r1(sK38,X16)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP3(X16)
| sP4(X16) )
| ~ spl50_31 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,definition,
( spl50_32
<=> sP7(sK28) ),
introduced(definition,[new_symbols(definition,[spl50_32])],[avatar_definition]) ).
fof(f286,plain,
( sP7(sK28)
| ~ spl50_32 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( spl50_31
| spl50_32 ),
inference(avatar_split_clause,[],[f118,f284,f281]) ).
fof(f289,definition,
( spl50_33
<=> ! [X16] :
( ~ r1(sK38,X16)
| ~ p2(X16)
| sP3(X16)
| sP4(X16) ) ),
introduced(definition,[new_symbols(definition,[spl50_33])],[avatar_definition]) ).
fof(f290,plain,
( ! [X16] :
( ~ p2(X16)
| ~ r1(sK38,X16)
| sP3(X16)
| sP4(X16) )
| ~ spl50_33 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f291,plain,
( spl50_33
| spl50_32 ),
inference(avatar_split_clause,[],[f119,f284,f289]) ).
fof(f293,definition,
( spl50_34
<=> ! [X14,X15] :
( ~ r1(sK38,X14)
| ~ p2(X14)
| p2(X15)
| ~ r1(X14,X15) ) ),
introduced(definition,[new_symbols(definition,[spl50_34])],[avatar_definition]) ).
fof(f294,plain,
( ! [X14,X15] :
( ~ p2(X14)
| ~ r1(sK38,X14)
| p2(X15)
| ~ r1(X14,X15) )
| ~ spl50_34 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f296,definition,
( spl50_35
<=> sP5(sK38) ),
introduced(definition,[new_symbols(definition,[spl50_35])],[avatar_definition]) ).
fof(f298,plain,
( sP5(sK38)
| ~ spl50_35 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f299,plain,
( spl50_34
| spl50_35
| spl50_32 ),
inference(avatar_split_clause,[],[f120,f284,f296,f293]) ).
fof(f301,definition,
( spl50_36
<=> p2(sK38) ),
introduced(definition,[new_symbols(definition,[spl50_36])],[avatar_definition]) ).
fof(f303,plain,
( ~ p2(sK38)
| spl50_36 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,plain,
( ~ spl50_36
| spl50_35
| spl50_32 ),
inference(avatar_split_clause,[],[f121,f284,f296,f301]) ).
fof(f306,definition,
( spl50_37
<=> r1(sK28,sK38) ),
introduced(definition,[new_symbols(definition,[spl50_37])],[avatar_definition]) ).
fof(f308,plain,
( r1(sK28,sK38)
| ~ spl50_37 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f309,plain,
( spl50_37
| spl50_32 ),
inference(avatar_split_clause,[],[f122,f284,f306]) ).
fof(f383,plain,
( p2(sK32)
| r1(sK32,sK49(sK32)) ),
inference(resolution,[],[f92,f134]) ).
fof(f390,plain,
r1(sK32,sK49(sK32)),
inference(forward_subsumption_resolution,[],[f383,f133]) ).
fof(f498,plain,
( p2(sK38)
| p2(sK33(sK38))
| ~ spl50_37 ),
inference(resolution,[],[f308,f129]) ).
fof(f525,plain,
( p2(sK33(sK38))
| spl50_36
| ~ spl50_37 ),
inference(forward_subsumption_resolution,[],[f498,f303]) ).
fof(f635,plain,
( ~ p2(sK8(sK28))
| sP6(sK28)
| ~ spl50_32 ),
inference(resolution,[],[f48,f286]) ).
fof(f637,definition,
( spl50_94
<=> sP6(sK28) ),
introduced(definition,[new_symbols(definition,[spl50_94])],[avatar_definition]) ).
fof(f639,plain,
( sP6(sK28)
| ~ spl50_94 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f641,definition,
( spl50_95
<=> p2(sK8(sK28)) ),
introduced(definition,[new_symbols(definition,[spl50_95])],[avatar_definition]) ).
fof(f643,plain,
( ~ p2(sK8(sK28))
| spl50_95 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f644,plain,
( spl50_94
| ~ spl50_95
| ~ spl50_32 ),
inference(avatar_split_clause,[],[f635,f284,f641,f637]) ).
fof(f646,plain,
( r1(sK28,sK8(sK28))
| sP6(sK28)
| ~ spl50_32 ),
inference(resolution,[],[f49,f286]) ).
fof(f648,definition,
( spl50_96
<=> r1(sK28,sK8(sK28)) ),
introduced(definition,[new_symbols(definition,[spl50_96])],[avatar_definition]) ).
fof(f650,plain,
( r1(sK28,sK8(sK28))
| ~ spl50_96 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f651,plain,
( spl50_94
| spl50_96
| ~ spl50_32 ),
inference(avatar_split_clause,[],[f646,f284,f648,f637]) ).
fof(f657,plain,
( p2(sK38)
| r1(sK33(sK38),sK34(sK38))
| ~ spl50_37 ),
inference(resolution,[],[f308,f131]) ).
fof(f658,plain,
( p2(sK38)
| r1(sK38,sK33(sK38))
| ~ spl50_37 ),
inference(resolution,[],[f308,f132]) ).
fof(f662,plain,
( r1(sK38,sK33(sK38))
| spl50_36
| ~ spl50_37 ),
inference(forward_subsumption_resolution,[],[f658,f303]) ).
fof(f666,plain,
( ! [X0] :
( ~ r1(sK38,sK33(sK38))
| p2(X0)
| ~ r1(sK33(sK38),X0) )
| ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(resolution,[],[f525,f294]) ).
fof(f670,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK38),X0) )
| ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(forward_subsumption_resolution,[],[f666,f662]) ).
fof(f672,definition,
( spl50_97
<=> ! [X1] :
( p2(X1)
| ~ r1(sK33(sK38),X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_97])],[avatar_definition]) ).
fof(f673,plain,
( ! [X1] :
( ~ r1(sK33(sK38),X1)
| p2(X1) )
| ~ spl50_97 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f687,plain,
( spl50_97
| ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(avatar_split_clause,[],[f670,f306,f301,f293,f672]) ).
fof(f688,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(sK15(X0))
| p2(X0) )
| ~ spl50_35 ),
inference(resolution,[],[f298,f54]) ).
fof(f690,plain,
( r1(sK38,sK13(sK38))
| ~ spl50_35 ),
inference(resolution,[],[f298,f61]) ).
fof(f723,plain,
( ! [X0] :
( ~ p2(sK16(X0))
| p2(X0)
| ~ r1(sK38,X0) )
| ~ spl50_35 ),
inference(resolution,[],[f55,f298]) ).
fof(f728,plain,
( p2(sK8(sK28))
| p2(sK33(sK8(sK28)))
| ~ spl50_96 ),
inference(resolution,[],[f650,f129]) ).
fof(f729,plain,
( p2(sK8(sK28))
| r1(sK33(sK8(sK28)),sK34(sK8(sK28)))
| ~ spl50_96 ),
inference(resolution,[],[f650,f131]) ).
fof(f730,plain,
( p2(sK8(sK28))
| r1(sK8(sK28),sK33(sK8(sK28)))
| ~ spl50_96 ),
inference(resolution,[],[f650,f132]) ).
fof(f754,plain,
( r1(sK33(sK8(sK28)),sK34(sK8(sK28)))
| spl50_95
| ~ spl50_96 ),
inference(forward_subsumption_resolution,[],[f729,f643]) ).
fof(f755,plain,
( p2(sK33(sK8(sK28)))
| spl50_95
| ~ spl50_96 ),
inference(forward_subsumption_resolution,[],[f728,f643]) ).
fof(f776,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| r1(X0,sK15(X0))
| p2(X0) )
| ~ spl50_35 ),
inference(resolution,[],[f57,f298]) ).
fof(f794,definition,
( spl50_117
<=> ! [X0] :
( p2(X0)
| ~ r1(sK33(sK8(sK28)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl50_117])],[avatar_definition]) ).
fof(f795,plain,
( ! [X0] :
( ~ r1(sK33(sK8(sK28)),X0)
| p2(X0) )
| ~ spl50_117 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f797,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| r1(sK15(X0),sK16(X0))
| p2(X0) )
| ~ spl50_35 ),
inference(resolution,[],[f56,f298]) ).
fof(f867,plain,
( ! [X0,X1] :
( ~ r1(sK8(sK28),X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| sP6(sK28) )
| ~ spl50_32 ),
inference(resolution,[],[f47,f286]) ).
fof(f869,definition,
( spl50_130
<=> ! [X0,X1] :
( ~ r1(sK8(sK28),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_130])],[avatar_definition]) ).
fof(f870,plain,
( ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK8(sK28),X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl50_130 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f871,plain,
( spl50_94
| spl50_130
| ~ spl50_32 ),
inference(avatar_split_clause,[],[f867,f284,f869,f637]) ).
fof(f950,plain,
( p2(sK34(sK8(sK28)))
| spl50_95
| ~ spl50_96
| ~ spl50_117 ),
inference(resolution,[],[f795,f754]) ).
fof(f951,plain,
( p2(sK8(sK28))
| ~ r1(sK28,sK8(sK28))
| spl50_95
| ~ spl50_96
| ~ spl50_117 ),
inference(resolution,[],[f950,f130]) ).
fof(f976,plain,
( ~ r1(sK28,sK8(sK28))
| spl50_95
| ~ spl50_96
| ~ spl50_117 ),
inference(forward_subsumption_resolution,[],[f951,f643]) ).
fof(f977,plain,
( $false
| spl50_95
| ~ spl50_96
| ~ spl50_117 ),
inference(forward_subsumption_resolution,[],[f976,f650]) ).
fof(f978,plain,
( spl50_95
| ~ spl50_96
| ~ spl50_117 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f980,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| r1(X1,sK11(X1))
| ~ r1(sK28,X0) )
| ~ spl50_94 ),
inference(resolution,[],[f639,f53]) ).
fof(f982,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| p2(sK11(X1))
| ~ r1(sK28,X0) )
| ~ spl50_94 ),
inference(resolution,[],[f639,f50]) ).
fof(f1007,plain,
( p2(sK15(sK13(sK38)))
| p2(sK13(sK38))
| ~ spl50_35 ),
inference(resolution,[],[f688,f690]) ).
fof(f1009,definition,
( spl50_156
<=> p2(sK13(sK38)) ),
introduced(definition,[new_symbols(definition,[spl50_156])],[avatar_definition]) ).
fof(f1010,plain,
( ~ p2(sK13(sK38))
| spl50_156 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1011,plain,
( p2(sK13(sK38))
| ~ spl50_156 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1013,definition,
( spl50_157
<=> p2(sK15(sK13(sK38))) ),
introduced(definition,[new_symbols(definition,[spl50_157])],[avatar_definition]) ).
fof(f1015,plain,
( p2(sK15(sK13(sK38)))
| ~ spl50_157 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1016,plain,
( spl50_156
| spl50_157
| ~ spl50_35 ),
inference(avatar_split_clause,[],[f1007,f296,f1013,f1009]) ).
fof(f1021,definition,
( spl50_158
<=> ! [X1] :
( ~ r1(sK15(sK13(sK38)),X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_158])],[avatar_definition]) ).
fof(f1022,plain,
( ! [X1] :
( ~ r1(sK15(sK13(sK38)),X1)
| p2(X1) )
| ~ spl50_158 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1047,plain,
( r1(sK13(sK38),sK15(sK13(sK38)))
| p2(sK13(sK38))
| ~ spl50_35 ),
inference(resolution,[],[f776,f690]) ).
fof(f1049,definition,
( spl50_163
<=> r1(sK13(sK38),sK15(sK13(sK38))) ),
introduced(definition,[new_symbols(definition,[spl50_163])],[avatar_definition]) ).
fof(f1051,plain,
( r1(sK13(sK38),sK15(sK13(sK38)))
| ~ spl50_163 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1052,plain,
( spl50_156
| spl50_163
| ~ spl50_35 ),
inference(avatar_split_clause,[],[f1047,f296,f1049,f1009]) ).
fof(f1054,plain,
( ~ r1(sK38,sK13(sK38))
| sP3(sK13(sK38))
| sP4(sK13(sK38))
| ~ spl50_33
| ~ spl50_156 ),
inference(resolution,[],[f1011,f290]) ).
fof(f1063,plain,
( sP3(sK13(sK38))
| sP4(sK13(sK38))
| ~ spl50_33
| ~ spl50_35
| ~ spl50_156 ),
inference(forward_subsumption_resolution,[],[f1054,f690]) ).
fof(f1066,definition,
( spl50_166
<=> sP4(sK13(sK38)) ),
introduced(definition,[new_symbols(definition,[spl50_166])],[avatar_definition]) ).
fof(f1067,plain,
( ~ sP4(sK13(sK38))
| spl50_166 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1068,plain,
( sP4(sK13(sK38))
| ~ spl50_166 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1070,definition,
( spl50_167
<=> sP3(sK13(sK38)) ),
introduced(definition,[new_symbols(definition,[spl50_167])],[avatar_definition]) ).
fof(f1071,plain,
( ~ sP3(sK13(sK38))
| spl50_167 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1072,plain,
( sP3(sK13(sK38))
| ~ spl50_167 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1073,plain,
( spl50_166
| spl50_167
| ~ spl50_33
| ~ spl50_35
| ~ spl50_156 ),
inference(avatar_split_clause,[],[f1063,f1009,f296,f289,f1070,f1066]) ).
fof(f1089,plain,
( r1(sK15(sK13(sK38)),sK16(sK13(sK38)))
| p2(sK13(sK38))
| ~ spl50_35 ),
inference(resolution,[],[f797,f690]) ).
fof(f1168,plain,
( p2(sK49(sK32))
| p2(sK11(sK49(sK32)))
| ~ r1(sK28,sK32)
| ~ spl50_94 ),
inference(resolution,[],[f982,f390]) ).
fof(f1187,plain,
( p2(sK49(sK32))
| p2(sK11(sK49(sK32)))
| ~ spl50_94 ),
inference(forward_subsumption_resolution,[],[f1168,f134]) ).
fof(f1191,definition,
( spl50_179
<=> p2(sK11(sK49(sK32))) ),
introduced(definition,[new_symbols(definition,[spl50_179])],[avatar_definition]) ).
fof(f1193,plain,
( p2(sK11(sK49(sK32)))
| ~ spl50_179 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1195,definition,
( spl50_180
<=> p2(sK49(sK32)) ),
introduced(definition,[new_symbols(definition,[spl50_180])],[avatar_definition]) ).
fof(f1196,plain,
( ~ p2(sK49(sK32))
| spl50_180 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1197,plain,
( p2(sK49(sK32))
| ~ spl50_180 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1198,plain,
( spl50_179
| spl50_180
| ~ spl50_94 ),
inference(avatar_split_clause,[],[f1187,f637,f1195,f1191]) ).
fof(f1225,plain,
( p2(sK49(sK32))
| r1(sK49(sK32),sK11(sK49(sK32)))
| ~ r1(sK28,sK32)
| ~ spl50_94 ),
inference(resolution,[],[f980,f390]) ).
fof(f1231,plain,
( p2(sK49(sK32))
| r1(sK49(sK32),sK11(sK49(sK32)))
| ~ spl50_94 ),
inference(forward_subsumption_resolution,[],[f1225,f134]) ).
fof(f1233,definition,
( spl50_185
<=> r1(sK49(sK32),sK11(sK49(sK32))) ),
introduced(definition,[new_symbols(definition,[spl50_185])],[avatar_definition]) ).
fof(f1235,plain,
( r1(sK49(sK32),sK11(sK49(sK32)))
| ~ spl50_185 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1236,plain,
( spl50_185
| spl50_180
| ~ spl50_94 ),
inference(avatar_split_clause,[],[f1231,f637,f1195,f1233]) ).
fof(f1237,plain,
( p2(sK32)
| ~ r1(sK28,sK32)
| ~ spl50_180 ),
inference(resolution,[],[f1197,f91]) ).
fof(f1274,plain,
( ~ r1(sK28,sK32)
| ~ spl50_180 ),
inference(forward_subsumption_resolution,[],[f1237,f133]) ).
fof(f1275,plain,
( $false
| ~ spl50_180 ),
inference(forward_subsumption_resolution,[],[f1274,f134]) ).
fof(f1276,plain,
~ spl50_180,
inference(avatar_contradiction_clause,[],[f1275]) ).
fof(f1277,plain,
( r1(sK8(sK28),sK33(sK8(sK28)))
| spl50_95
| ~ spl50_96 ),
inference(forward_subsumption_resolution,[],[f730,f643]) ).
fof(f1283,plain,
( ! [X0] :
( ~ r1(sK8(sK28),sK33(sK8(sK28)))
| p2(X0)
| ~ r1(sK33(sK8(sK28)),X0) )
| spl50_95
| ~ spl50_96
| ~ spl50_130 ),
inference(resolution,[],[f755,f870]) ).
fof(f1293,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK8(sK28)),X0) )
| spl50_95
| ~ spl50_96
| ~ spl50_130 ),
inference(forward_subsumption_resolution,[],[f1283,f1277]) ).
fof(f1294,plain,
( spl50_117
| spl50_95
| ~ spl50_96
| ~ spl50_130 ),
inference(avatar_split_clause,[],[f1293,f869,f648,f641,f794]) ).
fof(f1295,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| r1(sK11(X1),sK12(X1))
| ~ r1(sK28,X0) )
| ~ spl50_94 ),
inference(resolution,[],[f639,f52]) ).
fof(f1297,plain,
( ! [X0,X1] :
( ~ p2(sK12(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK28,X0) )
| ~ spl50_94 ),
inference(resolution,[],[f639,f51]) ).
fof(f1303,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK49(X0),sK11(sK49(sK32)))
| ~ r1(sK11(sK49(sK32)),X1)
| p2(X1)
| ~ r1(sK28,X0) )
| ~ spl50_179 ),
inference(resolution,[],[f1193,f90]) ).
fof(f1305,definition,
( spl50_194
<=> ! [X1] :
( ~ r1(sK11(sK49(sK32)),X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_194])],[avatar_definition]) ).
fof(f1306,plain,
( ! [X1] :
( ~ r1(sK11(sK49(sK32)),X1)
| p2(X1) )
| ~ spl50_194 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1308,definition,
( spl50_195
<=> ! [X0] :
( p2(X0)
| ~ r1(sK28,X0)
| ~ r1(sK49(X0),sK11(sK49(sK32))) ) ),
introduced(definition,[new_symbols(definition,[spl50_195])],[avatar_definition]) ).
fof(f1309,plain,
( ! [X0] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK49(X0),sK11(sK49(sK32))) )
| ~ spl50_195 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1310,plain,
( spl50_194
| spl50_195
| ~ spl50_179 ),
inference(avatar_split_clause,[],[f1303,f1191,f1308,f1305]) ).
fof(f1446,plain,
( p2(sK49(sK32))
| r1(sK11(sK49(sK32)),sK12(sK49(sK32)))
| ~ r1(sK28,sK32)
| ~ spl50_94 ),
inference(resolution,[],[f1295,f390]) ).
fof(f1453,plain,
( r1(sK11(sK49(sK32)),sK12(sK49(sK32)))
| ~ r1(sK28,sK32)
| ~ spl50_94
| spl50_180 ),
inference(forward_subsumption_resolution,[],[f1446,f1196]) ).
fof(f1455,plain,
( r1(sK11(sK49(sK32)),sK12(sK49(sK32)))
| ~ spl50_94
| spl50_180 ),
inference(forward_subsumption_resolution,[],[f1453,f134]) ).
fof(f1490,plain,
( r1(sK15(sK13(sK38)),sK16(sK13(sK38)))
| ~ spl50_35
| spl50_156 ),
inference(forward_subsumption_resolution,[],[f1089,f1010]) ).
fof(f1542,definition,
( spl50_225
<=> p2(sK16(sK13(sK38))) ),
introduced(definition,[new_symbols(definition,[spl50_225])],[avatar_definition]) ).
fof(f1544,plain,
( p2(sK16(sK13(sK38)))
| ~ spl50_225 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f1562,plain,
( p2(sK16(sK13(sK38)))
| ~ spl50_35
| spl50_156
| ~ spl50_158 ),
inference(resolution,[],[f1022,f1490]) ).
fof(f1563,plain,
( spl50_225
| ~ spl50_35
| spl50_156
| ~ spl50_158 ),
inference(avatar_split_clause,[],[f1562,f1021,f1009,f296,f1542]) ).
fof(f1564,plain,
( p2(sK13(sK38))
| ~ r1(sK38,sK13(sK38))
| ~ spl50_35
| ~ spl50_225 ),
inference(resolution,[],[f1544,f723]) ).
fof(f1595,plain,
( ~ r1(sK38,sK13(sK38))
| ~ spl50_35
| spl50_156
| ~ spl50_225 ),
inference(forward_subsumption_resolution,[],[f1564,f1010]) ).
fof(f1596,plain,
( $false
| ~ spl50_35
| spl50_156
| ~ spl50_225 ),
inference(forward_subsumption_resolution,[],[f1595,f690]) ).
fof(f1597,plain,
( ~ spl50_35
| spl50_156
| ~ spl50_225 ),
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1610,definition,
( spl50_236
<=> p2(sK12(sK49(sK32))) ),
introduced(definition,[new_symbols(definition,[spl50_236])],[avatar_definition]) ).
fof(f1612,plain,
( p2(sK12(sK49(sK32)))
| ~ spl50_236 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f1739,plain,
( p2(sK32)
| ~ r1(sK49(sK32),sK11(sK49(sK32)))
| ~ spl50_195 ),
inference(resolution,[],[f1309,f134]) ).
fof(f1742,plain,
( ~ r1(sK49(sK32),sK11(sK49(sK32)))
| ~ spl50_195 ),
inference(forward_subsumption_resolution,[],[f1739,f133]) ).
fof(f1744,plain,
( $false
| ~ spl50_185
| ~ spl50_195 ),
inference(forward_subsumption_resolution,[],[f1742,f1235]) ).
fof(f1745,plain,
( ~ spl50_185
| ~ spl50_195 ),
inference(avatar_contradiction_clause,[],[f1744]) ).
fof(f1746,plain,
( p2(sK12(sK49(sK32)))
| ~ spl50_94
| spl50_180
| ~ spl50_194 ),
inference(resolution,[],[f1306,f1455]) ).
fof(f1747,plain,
( spl50_236
| ~ spl50_94
| spl50_180
| ~ spl50_194 ),
inference(avatar_split_clause,[],[f1746,f1305,f1195,f637,f1610]) ).
fof(f1748,plain,
( ! [X0] :
( p2(sK49(sK32))
| ~ r1(X0,sK49(sK32))
| ~ r1(sK28,X0) )
| ~ spl50_94
| ~ spl50_236 ),
inference(resolution,[],[f1612,f1297]) ).
fof(f1773,plain,
( ! [X0] :
( ~ r1(X0,sK49(sK32))
| ~ r1(sK28,X0) )
| ~ spl50_94
| spl50_180
| ~ spl50_236 ),
inference(forward_subsumption_resolution,[],[f1748,f1196]) ).
fof(f1810,plain,
( ~ r1(sK28,sK32)
| ~ spl50_94
| spl50_180
| ~ spl50_236 ),
inference(resolution,[],[f1773,f390]) ).
fof(f1811,plain,
( $false
| ~ spl50_94
| spl50_180
| ~ spl50_236 ),
inference(forward_subsumption_resolution,[],[f1810,f134]) ).
fof(f1812,plain,
( ~ spl50_94
| spl50_180
| ~ spl50_236 ),
inference(avatar_contradiction_clause,[],[f1811]) ).
fof(f1824,plain,
( r1(sK33(sK38),sK34(sK38))
| spl50_36
| ~ spl50_37 ),
inference(forward_subsumption_resolution,[],[f657,f303]) ).
fof(f1834,plain,
( ! [X0,X1] :
( ~ r1(sK38,X0)
| p2(X1)
| ~ r1(sK15(sK13(sK38)),X1)
| ~ r1(X0,sK15(sK13(sK38)))
| sP3(X0)
| sP4(X0) )
| ~ spl50_31
| ~ spl50_157 ),
inference(resolution,[],[f282,f1015]) ).
fof(f1864,plain,
( p2(sK34(sK38))
| spl50_36
| ~ spl50_37
| ~ spl50_97 ),
inference(resolution,[],[f673,f1824]) ).
fof(f1865,plain,
( p2(sK38)
| ~ r1(sK28,sK38)
| spl50_36
| ~ spl50_37
| ~ spl50_97 ),
inference(resolution,[],[f1864,f130]) ).
fof(f1895,plain,
( ~ r1(sK28,sK38)
| spl50_36
| ~ spl50_37
| ~ spl50_97 ),
inference(forward_subsumption_resolution,[],[f1865,f303]) ).
fof(f1896,plain,
( $false
| spl50_36
| ~ spl50_37
| ~ spl50_97 ),
inference(forward_subsumption_resolution,[],[f1895,f308]) ).
fof(f1897,plain,
( spl50_36
| ~ spl50_37
| ~ spl50_97 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1907,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK14(sK38),X0) )
| ~ spl50_35 ),
inference(resolution,[],[f298,f58]) ).
fof(f1908,plain,
( ~ p2(sK14(sK38))
| ~ spl50_35 ),
inference(resolution,[],[f298,f59]) ).
fof(f1909,plain,
( r1(sK13(sK38),sK14(sK38))
| ~ spl50_35 ),
inference(resolution,[],[f298,f60]) ).
fof(f1910,plain,
( r1(sK38,sK13(sK38))
| ~ spl50_35 ),
inference(resolution,[],[f298,f61]) ).
fof(f1918,plain,
( ! [X0] :
( ~ r1(sK13(sK38),X0)
| p2(sK18(X0))
| p2(X0) )
| ~ spl50_166 ),
inference(resolution,[],[f1068,f62]) ).
fof(f1919,plain,
( ! [X0] :
( ~ p2(sK19(X0))
| p2(X0)
| ~ r1(sK13(sK38),X0) )
| ~ spl50_166 ),
inference(resolution,[],[f1068,f63]) ).
fof(f1920,plain,
( ! [X0] :
( ~ r1(sK13(sK38),X0)
| r1(sK18(X0),sK19(X0))
| p2(X0) )
| ~ spl50_166 ),
inference(resolution,[],[f1068,f64]) ).
fof(f1921,plain,
( ! [X0] :
( ~ r1(sK13(sK38),X0)
| r1(X0,sK18(X0))
| p2(X0) )
| ~ spl50_166 ),
inference(resolution,[],[f1068,f65]) ).
fof(f2311,plain,
( p2(sK18(sK14(sK38)))
| p2(sK14(sK38))
| ~ spl50_35
| ~ spl50_166 ),
inference(resolution,[],[f1918,f1909]) ).
fof(f2312,plain,
( p2(sK18(sK14(sK38)))
| ~ spl50_35
| ~ spl50_166 ),
inference(forward_subsumption_resolution,[],[f2311,f1908]) ).
fof(f2314,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK18(sK14(sK38)),X0)
| ~ r1(sK14(sK38),sK18(sK14(sK38))) )
| ~ spl50_35
| ~ spl50_166 ),
inference(resolution,[],[f2312,f1907]) ).
fof(f2319,definition,
( spl50_332
<=> ! [X1] :
( ~ r1(sK18(sK14(sK38)),X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_332])],[avatar_definition]) ).
fof(f2320,plain,
( ! [X1] :
( ~ r1(sK18(sK14(sK38)),X1)
| p2(X1) )
| ~ spl50_332 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f2343,definition,
( spl50_338
<=> r1(sK14(sK38),sK18(sK14(sK38))) ),
introduced(definition,[new_symbols(definition,[spl50_338])],[avatar_definition]) ).
fof(f2346,plain,
( ~ spl50_338
| spl50_332
| ~ spl50_35
| ~ spl50_166 ),
inference(avatar_split_clause,[],[f2314,f1066,f296,f2319,f2343]) ).
fof(f2353,plain,
( r1(sK14(sK38),sK18(sK14(sK38)))
| p2(sK14(sK38))
| ~ spl50_35
| ~ spl50_166 ),
inference(resolution,[],[f1921,f1909]) ).
fof(f2354,plain,
( r1(sK14(sK38),sK18(sK14(sK38)))
| ~ spl50_35
| ~ spl50_166 ),
inference(forward_subsumption_resolution,[],[f2353,f1908]) ).
fof(f2355,plain,
( spl50_338
| ~ spl50_35
| ~ spl50_166 ),
inference(avatar_split_clause,[],[f2354,f1066,f296,f2343]) ).
fof(f2381,plain,
( r1(sK18(sK14(sK38)),sK19(sK14(sK38)))
| p2(sK14(sK38))
| ~ spl50_35
| ~ spl50_166 ),
inference(resolution,[],[f1920,f1909]) ).
fof(f2382,plain,
( r1(sK18(sK14(sK38)),sK19(sK14(sK38)))
| ~ spl50_35
| ~ spl50_166 ),
inference(forward_subsumption_resolution,[],[f2381,f1908]) ).
fof(f2438,plain,
( p2(sK19(sK14(sK38)))
| ~ spl50_35
| ~ spl50_166
| ~ spl50_332 ),
inference(resolution,[],[f2320,f2382]) ).
fof(f2439,plain,
( p2(sK14(sK38))
| ~ r1(sK13(sK38),sK14(sK38))
| ~ spl50_35
| ~ spl50_166
| ~ spl50_332 ),
inference(resolution,[],[f2438,f1919]) ).
fof(f2484,plain,
( ~ r1(sK13(sK38),sK14(sK38))
| ~ spl50_35
| ~ spl50_166
| ~ spl50_332 ),
inference(forward_subsumption_resolution,[],[f2439,f1908]) ).
fof(f2485,plain,
( $false
| ~ spl50_35
| ~ spl50_166
| ~ spl50_332 ),
inference(forward_subsumption_resolution,[],[f2484,f1909]) ).
fof(f2486,plain,
( ~ spl50_35
| ~ spl50_166
| ~ spl50_332 ),
inference(avatar_contradiction_clause,[],[f2485]) ).
fof(f2501,plain,
( ! [X0] :
( ~ r1(sK13(sK38),X0)
| p2(sK22(X0))
| p2(X0) )
| ~ spl50_167 ),
inference(resolution,[],[f1072,f69]) ).
fof(f2502,plain,
( ! [X0] :
( ~ p2(sK23(X0))
| p2(X0)
| ~ r1(sK13(sK38),X0) )
| ~ spl50_167 ),
inference(resolution,[],[f1072,f70]) ).
fof(f2503,plain,
( ! [X0] :
( ~ r1(sK13(sK38),X0)
| r1(sK22(X0),sK23(X0))
| p2(X0) )
| ~ spl50_167 ),
inference(resolution,[],[f1072,f71]) ).
fof(f2504,plain,
( ! [X0] :
( ~ r1(sK13(sK38),X0)
| r1(X0,sK22(X0))
| p2(X0) )
| ~ spl50_167 ),
inference(resolution,[],[f1072,f72]) ).
fof(f2510,plain,
( p2(sK22(sK14(sK38)))
| p2(sK14(sK38))
| ~ spl50_35
| ~ spl50_167 ),
inference(resolution,[],[f2501,f1909]) ).
fof(f2512,plain,
( p2(sK22(sK14(sK38)))
| ~ spl50_35
| ~ spl50_167 ),
inference(forward_subsumption_resolution,[],[f2510,f1908]) ).
fof(f2514,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK22(sK14(sK38)),X0)
| ~ r1(sK14(sK38),sK22(sK14(sK38))) )
| ~ spl50_35
| ~ spl50_167 ),
inference(resolution,[],[f2512,f1907]) ).
fof(f2519,definition,
( spl50_363
<=> ! [X1] :
( ~ r1(sK22(sK14(sK38)),X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_363])],[avatar_definition]) ).
fof(f2520,plain,
( ! [X1] :
( ~ r1(sK22(sK14(sK38)),X1)
| p2(X1) )
| ~ spl50_363 ),
inference(avatar_component_clause,[],[f2519]) ).
fof(f2543,definition,
( spl50_369
<=> r1(sK14(sK38),sK22(sK14(sK38))) ),
introduced(definition,[new_symbols(definition,[spl50_369])],[avatar_definition]) ).
fof(f2546,plain,
( ~ spl50_369
| spl50_363
| ~ spl50_35
| ~ spl50_167 ),
inference(avatar_split_clause,[],[f2514,f1070,f296,f2519,f2543]) ).
fof(f2553,plain,
( r1(sK14(sK38),sK22(sK14(sK38)))
| p2(sK14(sK38))
| ~ spl50_35
| ~ spl50_167 ),
inference(resolution,[],[f2504,f1909]) ).
fof(f2555,plain,
( r1(sK14(sK38),sK22(sK14(sK38)))
| ~ spl50_35
| ~ spl50_167 ),
inference(forward_subsumption_resolution,[],[f2553,f1908]) ).
fof(f2556,plain,
( spl50_369
| ~ spl50_35
| ~ spl50_167 ),
inference(avatar_split_clause,[],[f2555,f1070,f296,f2543]) ).
fof(f2558,plain,
( r1(sK22(sK14(sK38)),sK23(sK14(sK38)))
| p2(sK14(sK38))
| ~ spl50_35
| ~ spl50_167 ),
inference(resolution,[],[f2503,f1909]) ).
fof(f2560,plain,
( r1(sK22(sK14(sK38)),sK23(sK14(sK38)))
| ~ spl50_35
| ~ spl50_167 ),
inference(forward_subsumption_resolution,[],[f2558,f1908]) ).
fof(f2615,plain,
( p2(sK23(sK14(sK38)))
| ~ spl50_35
| ~ spl50_167
| ~ spl50_363 ),
inference(resolution,[],[f2520,f2560]) ).
fof(f2623,plain,
( p2(sK14(sK38))
| ~ r1(sK13(sK38),sK14(sK38))
| ~ spl50_35
| ~ spl50_167
| ~ spl50_363 ),
inference(resolution,[],[f2615,f2502]) ).
fof(f2671,plain,
( ~ r1(sK13(sK38),sK14(sK38))
| ~ spl50_35
| ~ spl50_167
| ~ spl50_363 ),
inference(forward_subsumption_resolution,[],[f2623,f1908]) ).
fof(f2672,plain,
( $false
| ~ spl50_35
| ~ spl50_167
| ~ spl50_363 ),
inference(forward_subsumption_resolution,[],[f2671,f1909]) ).
fof(f2673,plain,
( ~ spl50_35
| ~ spl50_167
| ~ spl50_363 ),
inference(avatar_contradiction_clause,[],[f2672]) ).
fof(f2681,definition,
( spl50_387
<=> ! [X0] :
( ~ r1(sK38,X0)
| sP4(X0)
| sP3(X0)
| ~ r1(X0,sK15(sK13(sK38))) ) ),
introduced(definition,[new_symbols(definition,[spl50_387])],[avatar_definition]) ).
fof(f2682,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| sP4(X0)
| sP3(X0)
| ~ r1(X0,sK15(sK13(sK38))) )
| ~ spl50_387 ),
inference(avatar_component_clause,[],[f2681]) ).
fof(f2683,plain,
( spl50_158
| spl50_387
| ~ spl50_31
| ~ spl50_157 ),
inference(avatar_split_clause,[],[f1834,f1013,f281,f2681,f1021]) ).
fof(f2708,plain,
( sP4(sK13(sK38))
| sP3(sK13(sK38))
| ~ r1(sK13(sK38),sK15(sK13(sK38)))
| ~ spl50_35
| ~ spl50_387 ),
inference(resolution,[],[f2682,f1910]) ).
fof(f2709,plain,
( sP3(sK13(sK38))
| ~ r1(sK13(sK38),sK15(sK13(sK38)))
| ~ spl50_35
| spl50_166
| ~ spl50_387 ),
inference(forward_subsumption_resolution,[],[f2708,f1067]) ).
fof(f2710,plain,
( ~ r1(sK13(sK38),sK15(sK13(sK38)))
| ~ spl50_35
| spl50_166
| spl50_167
| ~ spl50_387 ),
inference(forward_subsumption_resolution,[],[f2709,f1071]) ).
fof(f2711,plain,
( $false
| ~ spl50_35
| ~ spl50_163
| spl50_166
| spl50_167
| ~ spl50_387 ),
inference(forward_subsumption_resolution,[],[f2710,f1051]) ).
fof(f2712,plain,
( ~ spl50_35
| ~ spl50_163
| spl50_166
| spl50_167
| ~ spl50_387 ),
inference(avatar_contradiction_clause,[],[f2711]) ).
cnf(s26,plain,
( spl50_31
| spl50_32 ),
inference(sat_conversion,[],[f287]) ).
cnf(s27,plain,
( spl50_32
| spl50_33 ),
inference(sat_conversion,[],[f291]) ).
cnf(s28,plain,
( spl50_32
| spl50_34
| spl50_35 ),
inference(sat_conversion,[],[f299]) ).
cnf(s29,plain,
( spl50_32
| spl50_35
| ~ spl50_36 ),
inference(sat_conversion,[],[f304]) ).
cnf(s30,plain,
( spl50_32
| spl50_37 ),
inference(sat_conversion,[],[f309]) ).
cnf(s65,plain,
( ~ spl50_32
| spl50_94
| ~ spl50_95 ),
inference(sat_conversion,[],[f644]) ).
cnf(s66,plain,
( ~ spl50_32
| spl50_94
| spl50_96 ),
inference(sat_conversion,[],[f651]) ).
cnf(s69,plain,
( ~ spl50_34
| spl50_36
| ~ spl50_37
| spl50_97 ),
inference(sat_conversion,[],[f687]) ).
cnf(s91,plain,
( ~ spl50_32
| spl50_94
| spl50_130 ),
inference(sat_conversion,[],[f871]) ).
cnf(s105,plain,
( spl50_95
| ~ spl50_96
| ~ spl50_117 ),
inference(sat_conversion,[],[f978]) ).
cnf(s109,plain,
( ~ spl50_35
| spl50_156
| spl50_157 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s113,plain,
( ~ spl50_35
| spl50_156
| spl50_163 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s115,plain,
( ~ spl50_33
| ~ spl50_35
| ~ spl50_156
| spl50_166
| spl50_167 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s126,plain,
( ~ spl50_94
| spl50_179
| spl50_180 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s129,plain,
( ~ spl50_94
| spl50_180
| spl50_185 ),
inference(sat_conversion,[],[f1236]) ).
cnf(s135,plain,
~ spl50_180,
inference(sat_conversion,[],[f1276]) ).
cnf(s137,plain,
( spl50_95
| ~ spl50_96
| spl50_117
| ~ spl50_130 ),
inference(sat_conversion,[],[f1294]) ).
cnf(s138,plain,
( ~ spl50_179
| spl50_194
| spl50_195 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s166,plain,
( ~ spl50_35
| spl50_156
| ~ spl50_158
| spl50_225 ),
inference(sat_conversion,[],[f1563]) ).
cnf(s171,plain,
( ~ spl50_35
| spl50_156
| ~ spl50_225 ),
inference(sat_conversion,[],[f1597]) ).
cnf(s187,plain,
( ~ spl50_185
| ~ spl50_195 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s188,plain,
( ~ spl50_94
| spl50_180
| ~ spl50_194
| spl50_236 ),
inference(sat_conversion,[],[f1747]) ).
cnf(s197,plain,
( ~ spl50_94
| spl50_180
| ~ spl50_236 ),
inference(sat_conversion,[],[f1812]) ).
cnf(s209,plain,
( spl50_36
| ~ spl50_37
| ~ spl50_97 ),
inference(sat_conversion,[],[f1897]) ).
cnf(s258,plain,
( ~ spl50_35
| ~ spl50_166
| spl50_332
| ~ spl50_338 ),
inference(sat_conversion,[],[f2346]) ).
cnf(s260,plain,
( ~ spl50_35
| ~ spl50_166
| spl50_338 ),
inference(sat_conversion,[],[f2355]) ).
cnf(s277,plain,
( ~ spl50_35
| ~ spl50_166
| ~ spl50_332 ),
inference(sat_conversion,[],[f2486]) ).
cnf(s284,plain,
( ~ spl50_35
| ~ spl50_167
| spl50_363
| ~ spl50_369 ),
inference(sat_conversion,[],[f2546]) ).
cnf(s286,plain,
( ~ spl50_35
| ~ spl50_167
| spl50_369 ),
inference(sat_conversion,[],[f2556]) ).
cnf(s300,plain,
( ~ spl50_35
| ~ spl50_167
| ~ spl50_363 ),
inference(sat_conversion,[],[f2673]) ).
cnf(s301,plain,
( ~ spl50_31
| ~ spl50_157
| spl50_158
| spl50_387 ),
inference(sat_conversion,[],[f2683]) ).
cnf(s304,plain,
( ~ spl50_35
| ~ spl50_163
| spl50_166
| spl50_167
| ~ spl50_387 ),
inference(sat_conversion,[],[f2712]) ).
cnf(s305,plain,
( ~ spl50_94
| spl50_185 ),
inference(rat,[],[s129,s135]) ).
cnf(s306,plain,
( ~ spl50_94
| spl50_179 ),
inference(rat,[],[s126,s135]) ).
cnf(s334,plain,
( spl50_95
| ~ spl50_130
| ~ spl50_96 ),
inference(rat,[],[s105,s137]) ).
cnf(s335,plain,
( spl50_94
| ~ spl50_32 ),
inference(rat,[],[s334,s65,s91,s66]) ).
cnf(s336,plain,
( ~ spl50_94
| spl50_236 ),
inference(rat,[],[s138,s187,s306,s305,s188,s135]) ).
cnf(s337,plain,
~ spl50_94,
inference(rat,[],[s336,s197,s135]) ).
cnf(s338,plain,
~ spl50_32,
inference(rat,[],[s335,s337]) ).
cnf(s339,plain,
spl50_37,
inference(rat,[],[s30,s338]) ).
cnf(s340,plain,
spl50_33,
inference(rat,[],[s27,s338]) ).
cnf(s341,plain,
spl50_31,
inference(rat,[],[s26,s338]) ).
cnf(s345,plain,
( ~ spl50_167
| ~ spl50_35 ),
inference(rat,[],[s284,s286,s300]) ).
cnf(s346,plain,
( ~ spl50_166
| ~ spl50_35 ),
inference(rat,[],[s258,s260,s277]) ).
cnf(s347,plain,
( spl50_166
| spl50_167
| ~ spl50_35 ),
inference(rat,[],[s301,s304,s166,s171,s109,s113,s115,s340,s341]) ).
cnf(s348,plain,
~ spl50_35,
inference(rat,[],[s347,s346,s345]) ).
cnf(s349,plain,
~ spl50_36,
inference(rat,[],[s29,s338,s348]) ).
cnf(s350,plain,
spl50_34,
inference(rat,[],[s28,s338,s348]) ).
cnf(s353,plain,
~ spl50_97,
inference(rat,[],[s209,s339,s349]) ).
cnf(s354,plain,
$false,
inference(rat,[],[s69,s353,s339,s349,s350]) ).
fof(f2713,plain,
$false,
inference(avatar_sat_refutation,[],[s354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL642+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 16:12:26 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.47 % (752415)Will run a generic schedule for satisfiability detection.
% 0.42/0.47 % (752421)% WARNING: option uhcvi not known.
% 0.42/0.47 % (752420)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=207264656_2999 on theBenchmark for (2999ds/0Mi)
% 0.42/0.47 % (752421)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2662574271:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.42/0.47 % (752422)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2535431246:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.42/0.47 % (752423)dis+10_1_sil=32000:sp=arity:random_seed=2854817717:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.42/0.47 % (752424)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=544988927:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.42/0.47 % (752425)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=415744290:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.42/0.47 % (752426)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=400989482:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.42/0.47 % TRYING [1]
% 0.42/0.47 % TRYING [2]
% 0.42/0.47 % TRYING [3]
% 0.42/0.47 % TRYING [4]
% 0.42/0.47 % (752425) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-752415-752425"...
% 0.42/0.47 % (752425)...printing done.
% 0.42/0.47 % (752425)Refutation found. Thanks to Tanya!
% 0.42/0.47 % SZS status Theorem for theBenchmark
% 0.42/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.42/0.48 % (752425)------------------------------
% 0.42/0.48 % (752425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.48 % (752425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.48 % (752425)CaDiCaL version: 2.1.3
% 0.42/0.48 % (752425)Termination reason: Refutation
% 0.42/0.48 % (752425)Time elapsed: 0.039 s
% 0.42/0.48 % (752425)Peak memory usage: 14 MB
% 0.42/0.48 % (752425)Instructions burned: 61 (million)
% 0.42/0.48 % (752415)Success in time 0.082 s
% 0.42/0.48 % Vampire exiting
%------------------------------------------------------------------------------