%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL658+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 11:54:23 AM UTC 2026
% Result : Theorem 6.07s 1.92s
% Output : Refutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 30
% Syntax : Number of formulae : 333 ( 31 unt; 29 def)
% Number of atoms : 2664 ( 0 equ)
% Maximal formula atoms : 151 ( 8 avg)
% Number of connectives : 4225 (1894 ~;2004 |; 302 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 26 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 9 con; 0-1 aty)
% Number of variables : 1382 ( 0 sgn1249 !; 133 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,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)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,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) ) ) ) ) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,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)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) ) ) )
& ( p1(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)
| p1(X1) )
| ~ 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)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ 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)
| ! [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) ) )
| ~ ! [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)
| ! [X1] :
( ~ r1(X0,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)
| ! [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)
| ! [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) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,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)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,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) ) ) ) ) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,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)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) ) ) )
& ( p1(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)
| p1(X1) )
| ~ 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)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ 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)
| ! [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) ) )
| ~ ! [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)
| ! [X1] :
( ~ r1(X0,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)
| ! [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)
| ! [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) ) ) )
& ! [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)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) )
| ~ ! [X12] :
( ~ r1(X9,X12)
| p1(X12) ) ) ) ) ) ) ) ) ) )
| ~ ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
| ~ ! [X23] :
( ~ r1(X20,X23)
| p1(X23) ) ) ) ) ) ) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ~ ! [X33] :
( ~ r1(X30,X33)
| p1(X33) ) ) ) ) ) ) ) )
| ~ ! [X34] :
( ~ r1(X0,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ( ( ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ p1(X39)
| ! [X41] :
( ~ r1(X39,X41)
| ~ ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( ~ r1(X42,X43)
| p1(X43) )
| ~ p1(X42) ) )
| ~ ! [X44] :
( ~ r1(X39,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p1(X45) )
| ~ p1(X44)
| ~ ! [X46] :
( ~ r1(X44,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| p1(X48) )
| ~ p1(X47) )
| ~ ( ! [X49] :
( ~ r1(X46,X49)
| p1(X49) )
| ~ p1(X46) ) ) ) )
& ( p1(X39)
| ! [X50] :
( ~ r1(X39,X50)
| ~ ! [X51] :
( ~ r1(X50,X51)
| p1(X51) ) )
| ~ ! [X52] :
( ~ r1(X39,X52)
| p1(X52)
| ~ ! [X53] :
( ~ r1(X52,X53)
| ! [X54] :
( ~ r1(X53,X54)
| p1(X54) )
| ~ p1(X53) ) ) )
& ! [X55] :
( ~ r1(X39,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| p1(X57) ) )
| ~ ! [X58] :
( ~ r1(X55,X58)
| p1(X58) ) )
& ( ! [X59] :
( ~ r1(X39,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ~ ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| p1(X62) )
| ~ p1(X61) ) ) )
| ~ ! [X63] :
( ~ r1(X39,X63)
| p1(X63)
| ~ ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) )
| ~ p1(X64) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ! [X66] :
( ~ r1(X0,X66)
| ! [X67] :
( ~ r1(X66,X67)
| ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| ! [X71] :
( ~ r1(X70,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p1(X72) )
| ! [X73] :
( ~ r1(X71,X73)
| ~ ! [X74] :
( ~ r1(X73,X74)
| p1(X74) ) )
| ~ ! [X75] :
( ~ r1(X71,X75)
| p1(X75)
| ~ ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77) )
| ~ p1(X76) ) ) ) ) ) ) ) )
& ! [X78] :
( ~ r1(X0,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) )
| ~ ! [X85] :
( ~ r1(X82,X85)
| p1(X85) ) ) ) ) ) )
& ! [X86] :
( ~ r1(X0,X86)
| ! [X87] :
( ~ r1(X86,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p1(X91) ) )
| ~ ! [X92] :
( ~ r1(X89,X92)
| p1(X92) ) ) ) ) )
& ! [X93] :
( ~ r1(X0,X93)
| ! [X94] :
( ~ r1(X93,X94)
| ! [X95] :
( ~ r1(X94,X95)
| ! [X96] :
( ~ r1(X95,X96)
| ! [X97] :
( ~ r1(X96,X97)
| p1(X97) ) )
| ~ ! [X98] :
( ~ r1(X95,X98)
| p1(X98) ) ) ) )
& ! [X99] :
( ~ r1(X0,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ! [X101] :
( ~ r1(X100,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p1(X102) ) )
| ~ ! [X103] :
( ~ r1(X100,X103)
| p1(X103) ) ) )
& ! [X104] :
( ~ r1(X0,X104)
| ! [X105] :
( ~ r1(X104,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106) ) )
| ~ ! [X107] :
( ~ r1(X104,X107)
| p1(X107) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) )
| ~ ! [X12] :
( ~ r1(X9,X12)
| p1(X12) ) ) ) ) ) ) ) ) ) )
| ~ ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
| ~ ! [X23] :
( ~ r1(X20,X23)
| p1(X23) ) ) ) ) ) ) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ~ ! [X33] :
( ~ r1(X30,X33)
| p1(X33) ) ) ) ) ) ) ) )
| ~ ! [X34] :
( ~ r1(X0,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ( ( ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ p1(X39)
| ! [X41] :
( ~ r1(X39,X41)
| ~ ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( ~ r1(X42,X43)
| p1(X43) )
| ~ p1(X42) ) )
| ~ ! [X44] :
( ~ r1(X39,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p1(X45) )
| ~ p1(X44)
| ~ ! [X46] :
( ~ r1(X44,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| p1(X48) )
| ~ p1(X47) )
| ~ ( ! [X49] :
( ~ r1(X46,X49)
| p1(X49) )
| ~ p1(X46) ) ) ) )
& ( p1(X39)
| ! [X50] :
( ~ r1(X39,X50)
| ~ ! [X51] :
( ~ r1(X50,X51)
| p1(X51) ) )
| ~ ! [X52] :
( ~ r1(X39,X52)
| p1(X52)
| ~ ! [X53] :
( ~ r1(X52,X53)
| ! [X54] :
( ~ r1(X53,X54)
| p1(X54) )
| ~ p1(X53) ) ) )
& ! [X55] :
( ~ r1(X39,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| p1(X57) ) )
| ~ ! [X58] :
( ~ r1(X55,X58)
| p1(X58) ) )
& ( ! [X59] :
( ~ r1(X39,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ~ ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| p1(X62) )
| ~ p1(X61) ) ) )
| ~ ! [X63] :
( ~ r1(X39,X63)
| p1(X63)
| ~ ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) )
| ~ p1(X64) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ! [X66] :
( ~ r1(X0,X66)
| ! [X67] :
( ~ r1(X66,X67)
| ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| ! [X71] :
( ~ r1(X70,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p1(X72) )
| ! [X73] :
( ~ r1(X71,X73)
| ~ ! [X74] :
( ~ r1(X73,X74)
| p1(X74) ) )
| ~ ! [X75] :
( ~ r1(X71,X75)
| p1(X75)
| ~ ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77) )
| ~ p1(X76) ) ) ) ) ) ) ) )
& ! [X78] :
( ~ r1(X0,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) )
| ~ ! [X85] :
( ~ r1(X82,X85)
| p1(X85) ) ) ) ) ) )
& ! [X86] :
( ~ r1(X0,X86)
| ! [X87] :
( ~ r1(X86,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p1(X91) ) )
| ~ ! [X92] :
( ~ r1(X89,X92)
| p1(X92) ) ) ) ) )
& ! [X93] :
( ~ r1(X0,X93)
| ! [X94] :
( ~ r1(X93,X94)
| ! [X95] :
( ~ r1(X94,X95)
| ! [X96] :
( ~ r1(X95,X96)
| ! [X97] :
( ~ r1(X96,X97)
| p1(X97) ) )
| ~ ! [X98] :
( ~ r1(X95,X98)
| p1(X98) ) ) ) )
& ! [X99] :
( ~ r1(X0,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ! [X101] :
( ~ r1(X100,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p1(X102) ) )
| ~ ! [X103] :
( ~ r1(X100,X103)
| p1(X103) ) ) )
& ! [X104] :
( ~ r1(X0,X104)
| ! [X105] :
( ~ r1(X104,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106) ) )
| ~ ! [X107] :
( ~ r1(X104,X107)
| p1(X107) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) )
| ? [X12] :
( r1(X9,X12)
& ~ p1(X12) ) ) ) ) ) ) ) ) ) )
& ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
| ? [X23] :
( r1(X20,X23)
& ~ p1(X23) ) ) ) ) ) ) ) ) )
& ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) ) ) ) ) )
& ! [X34] :
( ~ r1(X0,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ( ( ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ p1(X39)
| ! [X41] :
( ~ r1(X39,X41)
| ? [X42] :
( r1(X41,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p1(X43) )
& p1(X42) ) )
| ? [X44] :
( r1(X39,X44)
& ? [X45] :
( r1(X44,X45)
& ~ p1(X45) )
& p1(X44)
& ! [X46] :
( ~ r1(X44,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| p1(X48) )
| ~ p1(X47) )
| ( ? [X49] :
( r1(X46,X49)
& ~ p1(X49) )
& p1(X46) ) ) ) )
& ( p1(X39)
| ! [X50] :
( ~ r1(X39,X50)
| ? [X51] :
( r1(X50,X51)
& ~ p1(X51) ) )
| ? [X52] :
( r1(X39,X52)
& ~ p1(X52)
& ! [X53] :
( ~ r1(X52,X53)
| ! [X54] :
( ~ r1(X53,X54)
| p1(X54) )
| ~ p1(X53) ) ) )
& ! [X55] :
( ~ r1(X39,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| p1(X57) ) )
| ? [X58] :
( r1(X55,X58)
& ~ p1(X58) ) )
& ( ! [X59] :
( ~ r1(X39,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ? [X61] :
( r1(X60,X61)
& ? [X62] :
( r1(X61,X62)
& ~ p1(X62) )
& p1(X61) ) ) )
| ? [X63] :
( r1(X39,X63)
& ~ p1(X63)
& ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) )
| ~ p1(X64) ) ) ) ) ) ) ) ) ) )
& ? [X66] :
( r1(X0,X66)
& ? [X67] :
( r1(X66,X67)
& ? [X68] :
( r1(X67,X68)
& ? [X69] :
( r1(X68,X69)
& ? [X70] :
( r1(X69,X70)
& ? [X71] :
( r1(X70,X71)
& ? [X72] :
( r1(X71,X72)
& ~ p1(X72) )
& ? [X73] :
( r1(X71,X73)
& ! [X74] :
( ~ r1(X73,X74)
| p1(X74) ) )
& ! [X75] :
( ~ r1(X71,X75)
| p1(X75)
| ? [X76] :
( r1(X75,X76)
& ? [X77] :
( r1(X76,X77)
& ~ p1(X77) )
& p1(X76) ) ) ) ) ) ) ) )
& ! [X78] :
( ~ r1(X0,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) )
| ? [X85] :
( r1(X82,X85)
& ~ p1(X85) ) ) ) ) ) )
& ! [X86] :
( ~ r1(X0,X86)
| ! [X87] :
( ~ r1(X86,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p1(X91) ) )
| ? [X92] :
( r1(X89,X92)
& ~ p1(X92) ) ) ) ) )
& ! [X93] :
( ~ r1(X0,X93)
| ! [X94] :
( ~ r1(X93,X94)
| ! [X95] :
( ~ r1(X94,X95)
| ! [X96] :
( ~ r1(X95,X96)
| ! [X97] :
( ~ r1(X96,X97)
| p1(X97) ) )
| ? [X98] :
( r1(X95,X98)
& ~ p1(X98) ) ) ) )
& ! [X99] :
( ~ r1(X0,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ! [X101] :
( ~ r1(X100,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p1(X102) ) )
| ? [X103] :
( r1(X100,X103)
& ~ p1(X103) ) ) )
& ! [X104] :
( ~ r1(X0,X104)
| ! [X105] :
( ~ r1(X104,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106) ) )
| ? [X107] :
( r1(X104,X107)
& ~ p1(X107) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) )
| ? [X12] :
( r1(X9,X12)
& ~ p1(X12) ) ) ) ) ) ) ) ) ) )
& ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
| ? [X23] :
( r1(X20,X23)
& ~ p1(X23) ) ) ) ) ) ) ) ) )
& ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) ) ) ) ) )
& ! [X34] :
( ~ r1(X0,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ( ( ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ p1(X39)
| ! [X41] :
( ~ r1(X39,X41)
| ? [X42] :
( r1(X41,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p1(X43) )
& p1(X42) ) )
| ? [X44] :
( r1(X39,X44)
& ? [X45] :
( r1(X44,X45)
& ~ p1(X45) )
& p1(X44)
& ! [X46] :
( ~ r1(X44,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| p1(X48) )
| ~ p1(X47) )
| ( ? [X49] :
( r1(X46,X49)
& ~ p1(X49) )
& p1(X46) ) ) ) )
& ( p1(X39)
| ! [X50] :
( ~ r1(X39,X50)
| ? [X51] :
( r1(X50,X51)
& ~ p1(X51) ) )
| ? [X52] :
( r1(X39,X52)
& ~ p1(X52)
& ! [X53] :
( ~ r1(X52,X53)
| ! [X54] :
( ~ r1(X53,X54)
| p1(X54) )
| ~ p1(X53) ) ) )
& ! [X55] :
( ~ r1(X39,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| p1(X57) ) )
| ? [X58] :
( r1(X55,X58)
& ~ p1(X58) ) )
& ( ! [X59] :
( ~ r1(X39,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ? [X61] :
( r1(X60,X61)
& ? [X62] :
( r1(X61,X62)
& ~ p1(X62) )
& p1(X61) ) ) )
| ? [X63] :
( r1(X39,X63)
& ~ p1(X63)
& ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) )
| ~ p1(X64) ) ) ) ) ) ) ) ) ) )
& ? [X66] :
( r1(X0,X66)
& ? [X67] :
( r1(X66,X67)
& ? [X68] :
( r1(X67,X68)
& ? [X69] :
( r1(X68,X69)
& ? [X70] :
( r1(X69,X70)
& ? [X71] :
( r1(X70,X71)
& ? [X72] :
( r1(X71,X72)
& ~ p1(X72) )
& ? [X73] :
( r1(X71,X73)
& ! [X74] :
( ~ r1(X73,X74)
| p1(X74) ) )
& ! [X75] :
( ~ r1(X71,X75)
| p1(X75)
| ? [X76] :
( r1(X75,X76)
& ? [X77] :
( r1(X76,X77)
& ~ p1(X77) )
& p1(X76) ) ) ) ) ) ) ) )
& ! [X78] :
( ~ r1(X0,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) )
| ? [X85] :
( r1(X82,X85)
& ~ p1(X85) ) ) ) ) ) )
& ! [X86] :
( ~ r1(X0,X86)
| ! [X87] :
( ~ r1(X86,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p1(X91) ) )
| ? [X92] :
( r1(X89,X92)
& ~ p1(X92) ) ) ) ) )
& ! [X93] :
( ~ r1(X0,X93)
| ! [X94] :
( ~ r1(X93,X94)
| ! [X95] :
( ~ r1(X94,X95)
| ! [X96] :
( ~ r1(X95,X96)
| ! [X97] :
( ~ r1(X96,X97)
| p1(X97) ) )
| ? [X98] :
( r1(X95,X98)
& ~ p1(X98) ) ) ) )
& ! [X99] :
( ~ r1(X0,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ! [X101] :
( ~ r1(X100,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p1(X102) ) )
| ? [X103] :
( r1(X100,X103)
& ~ p1(X103) ) ) )
& ! [X104] :
( ~ r1(X0,X104)
| ! [X105] :
( ~ r1(X104,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106) ) )
| ? [X107] :
( r1(X104,X107)
& ~ p1(X107) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,definition,
! [X39] :
( ! [X59] :
( ~ r1(X39,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ? [X61] :
( r1(X60,X61)
& ? [X62] :
( r1(X61,X62)
& ~ p1(X62) )
& p1(X61) ) ) )
| ~ sP0(X39) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X39] :
( ? [X44] :
( r1(X39,X44)
& ? [X45] :
( r1(X44,X45)
& ~ p1(X45) )
& p1(X44)
& ! [X46] :
( ~ r1(X44,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| p1(X48) )
| ~ p1(X47) )
| ( ? [X49] :
( r1(X46,X49)
& ~ p1(X49) )
& p1(X46) ) ) )
| ~ sP1(X39) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X39] :
( p1(X39)
| ! [X50] :
( ~ r1(X39,X50)
| ? [X51] :
( r1(X50,X51)
& ~ p1(X51) ) )
| ? [X52] :
( r1(X39,X52)
& ~ p1(X52)
& ! [X53] :
( ~ r1(X52,X53)
| ! [X54] :
( ~ r1(X53,X54)
| p1(X54) )
| ~ p1(X53) ) )
| ~ sP2(X39) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ p1(X39)
| ! [X41] :
( ~ r1(X39,X41)
| ? [X42] :
( r1(X41,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p1(X43) )
& p1(X42) ) )
| sP1(X39)
| ~ sP3(X39) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f12,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) )
| ? [X12] :
( r1(X9,X12)
& ~ p1(X12) ) ) ) ) ) ) ) ) ) )
& ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
| ? [X23] :
( r1(X20,X23)
& ~ p1(X23) ) ) ) ) ) ) ) ) )
& ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) ) ) ) ) )
& ! [X34] :
( ~ r1(X0,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ( sP3(X39)
& sP2(X39)
& ! [X55] :
( ~ r1(X39,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| p1(X57) ) )
| ? [X58] :
( r1(X55,X58)
& ~ p1(X58) ) )
& ( sP0(X39)
| ? [X63] :
( r1(X39,X63)
& ~ p1(X63)
& ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) )
| ~ p1(X64) ) ) ) ) ) ) ) ) ) )
& ? [X66] :
( r1(X0,X66)
& ? [X67] :
( r1(X66,X67)
& ? [X68] :
( r1(X67,X68)
& ? [X69] :
( r1(X68,X69)
& ? [X70] :
( r1(X69,X70)
& ? [X71] :
( r1(X70,X71)
& ? [X72] :
( r1(X71,X72)
& ~ p1(X72) )
& ? [X73] :
( r1(X71,X73)
& ! [X74] :
( ~ r1(X73,X74)
| p1(X74) ) )
& ! [X75] :
( ~ r1(X71,X75)
| p1(X75)
| ? [X76] :
( r1(X75,X76)
& ? [X77] :
( r1(X76,X77)
& ~ p1(X77) )
& p1(X76) ) ) ) ) ) ) ) )
& ! [X78] :
( ~ r1(X0,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ! [X80] :
( ~ r1(X79,X80)
| ! [X81] :
( ~ r1(X80,X81)
| ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84) ) )
| ? [X85] :
( r1(X82,X85)
& ~ p1(X85) ) ) ) ) ) )
& ! [X86] :
( ~ r1(X0,X86)
| ! [X87] :
( ~ r1(X86,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| ! [X91] :
( ~ r1(X90,X91)
| p1(X91) ) )
| ? [X92] :
( r1(X89,X92)
& ~ p1(X92) ) ) ) ) )
& ! [X93] :
( ~ r1(X0,X93)
| ! [X94] :
( ~ r1(X93,X94)
| ! [X95] :
( ~ r1(X94,X95)
| ! [X96] :
( ~ r1(X95,X96)
| ! [X97] :
( ~ r1(X96,X97)
| p1(X97) ) )
| ? [X98] :
( r1(X95,X98)
& ~ p1(X98) ) ) ) )
& ! [X99] :
( ~ r1(X0,X99)
| ! [X100] :
( ~ r1(X99,X100)
| ! [X101] :
( ~ r1(X100,X101)
| ! [X102] :
( ~ r1(X101,X102)
| p1(X102) ) )
| ? [X103] :
( r1(X100,X103)
& ~ p1(X103) ) ) )
& ! [X104] :
( ~ r1(X0,X104)
| ! [X105] :
( ~ r1(X104,X105)
| ! [X106] :
( ~ r1(X105,X106)
| p1(X106) ) )
| ? [X107] :
( r1(X104,X107)
& ~ p1(X107) ) ) ),
inference(definition_folding,[],[f7,f11,f10,f9,f8]) ).
fof(f13,plain,
! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ~ p1(X39)
| ! [X41] :
( ~ r1(X39,X41)
| ? [X42] :
( r1(X41,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p1(X43) )
& p1(X42) ) )
| sP1(X39)
| ~ sP3(X39) ),
inference(nnf_transformation,[],[f11]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ! [X2] :
( ~ r1(X0,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3) ) )
| sP1(X0)
| ~ sP3(X0) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ! [X2] :
( ~ r1(X0,X2)
| ( r1(X2,sK4(X2))
& r1(sK4(X2),sK5(X2))
& ~ p1(sK5(X2))
& p1(sK4(X2)) ) )
| sP1(X0)
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X2)),skolemize(X4,sK5(X2))],[f14]) ).
fof(f16,plain,
! [X39] :
( p1(X39)
| ! [X50] :
( ~ r1(X39,X50)
| ? [X51] :
( r1(X50,X51)
& ~ p1(X51) ) )
| ? [X52] :
( r1(X39,X52)
& ~ p1(X52)
& ! [X53] :
( ~ r1(X52,X53)
| ! [X54] :
( ~ r1(X53,X54)
| p1(X54) )
| ~ p1(X53) ) )
| ~ sP2(X39) ),
inference(nnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( r1(X1,X2)
& ~ p1(X2) ) )
| ? [X3] :
( r1(X0,X3)
& ~ p1(X3)
& ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( r1(X1,sK6(X1))
& ~ p1(sK6(X1)) ) )
| ( r1(X0,sK7(X0))
& ~ p1(sK7(X0))
& ! [X4] :
( ~ r1(sK7(X0),X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) ) )
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X1)),skolemize(X3,sK7(X0))],[f17]) ).
fof(f19,plain,
! [X39] :
( ? [X44] :
( r1(X39,X44)
& ? [X45] :
( r1(X44,X45)
& ~ p1(X45) )
& p1(X44)
& ! [X46] :
( ~ r1(X44,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| p1(X48) )
| ~ p1(X47) )
| ( ? [X49] :
( r1(X46,X49)
& ~ p1(X49) )
& p1(X46) ) ) )
| ~ sP1(X39) ),
inference(nnf_transformation,[],[f9]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p1(X2) )
& p1(X1)
& ! [X3] :
( ~ r1(X1,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) )
| ( ? [X6] :
( r1(X3,X6)
& ~ p1(X6) )
& p1(X3) ) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ( r1(X0,sK8(X0))
& r1(sK8(X0),sK9(X0))
& ~ p1(sK9(X0))
& p1(sK8(X0))
& ! [X3] :
( ~ r1(sK8(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p1(X5) )
| ~ p1(X4) )
| ( r1(X3,sK10(X3))
& ~ p1(sK10(X3))
& p1(X3) ) ) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0)),skolemize(X6,sK10(X3))],[f20]) ).
fof(f22,plain,
! [X39] :
( ! [X59] :
( ~ r1(X39,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p1(X60)
| ? [X61] :
( r1(X60,X61)
& ? [X62] :
( r1(X61,X62)
& ~ p1(X62) )
& p1(X61) ) ) )
| ~ sP0(X39) ),
inference(nnf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) )
& p1(X3) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ( r1(X2,sK11(X2))
& r1(sK11(X2),sK12(X2))
& ~ p1(sK12(X2))
& p1(sK11(X2)) ) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X3,sK11(X2)),skolemize(X4,sK12(X2))],[f23]) ).
fof(f25,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) )
| ? [X12] :
( r1(X9,X12)
& ~ p1(X12) ) ) ) ) ) ) ) ) ) )
& ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
| ? [X23] :
( r1(X20,X23)
& ~ p1(X23) ) ) ) ) ) ) ) ) )
& ! [X24] :
( ~ r1(X0,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) ) ) ) ) )
& ! [X34] :
( ~ r1(X0,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ( sP3(X39)
& sP2(X39)
& ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p1(X42) ) )
| ? [X43] :
( r1(X40,X43)
& ~ p1(X43) ) )
& ( sP0(X39)
| ? [X44] :
( r1(X39,X44)
& ~ p1(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p1(X46) )
| ~ p1(X45) ) ) ) ) ) ) ) ) ) )
& ? [X47] :
( r1(X0,X47)
& ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ? [X50] :
( r1(X49,X50)
& ? [X51] :
( r1(X50,X51)
& ? [X52] :
( r1(X51,X52)
& ? [X53] :
( r1(X52,X53)
& ~ p1(X53) )
& ? [X54] :
( r1(X52,X54)
& ! [X55] :
( ~ r1(X54,X55)
| p1(X55) ) )
& ! [X56] :
( ~ r1(X52,X56)
| p1(X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] :
( r1(X57,X58)
& ~ p1(X58) )
& p1(X57) ) ) ) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ~ r1(X62,X63)
| ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
| ? [X66] :
( r1(X63,X66)
& ~ p1(X66) ) ) ) ) ) )
& ! [X67] :
( ~ r1(X0,X67)
| ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| ! [X71] :
( ~ r1(X70,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p1(X72) ) )
| ? [X73] :
( r1(X70,X73)
& ~ p1(X73) ) ) ) ) )
& ! [X74] :
( ~ r1(X0,X74)
| ! [X75] :
( ~ r1(X74,X75)
| ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| ! [X78] :
( ~ r1(X77,X78)
| p1(X78) ) )
| ? [X79] :
( r1(X76,X79)
& ~ p1(X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| ! [X81] :
( ~ r1(X80,X81)
| ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p1(X83) ) )
| ? [X84] :
( r1(X81,X84)
& ~ p1(X84) ) ) )
& ! [X85] :
( ~ r1(X0,X85)
| ! [X86] :
( ~ r1(X85,X86)
| ! [X87] :
( ~ r1(X86,X87)
| p1(X87) ) )
| ? [X88] :
( r1(X85,X88)
& ~ p1(X88) ) ) ),
inference(rectify,[],[f12]) ).
fof(f26,plain,
( ! [X1] :
( ~ r1(sK13,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p1(X11) ) )
| ( r1(X9,sK14(X9))
& ~ p1(sK14(X9)) ) ) ) ) ) ) ) ) ) )
& ! [X13] :
( ~ r1(sK13,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
| ( r1(X20,sK15(X20))
& ~ p1(sK15(X20)) ) ) ) ) ) ) ) ) )
& ! [X24] :
( ~ r1(sK13,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ( r1(X30,sK16(X30))
& ~ p1(sK16(X30)) ) ) ) ) ) ) ) )
& ! [X34] :
( ~ r1(sK13,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ( sP3(X39)
& sP2(X39)
& ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p1(X42) ) )
| ( r1(X40,sK17(X40))
& ~ p1(sK17(X40)) ) )
& ( sP0(X39)
| ( r1(X39,sK18(X39))
& ~ p1(sK18(X39))
& ! [X45] :
( ~ r1(sK18(X39),X45)
| ! [X46] :
( ~ r1(X45,X46)
| p1(X46) )
| ~ p1(X45) ) ) ) ) ) ) ) ) ) )
& r1(sK13,sK19)
& r1(sK19,sK20)
& r1(sK20,sK21)
& r1(sK21,sK22)
& r1(sK22,sK23)
& r1(sK23,sK24)
& r1(sK24,sK25)
& ~ p1(sK25)
& r1(sK24,sK26)
& ! [X55] :
( ~ r1(sK26,X55)
| p1(X55) )
& ! [X56] :
( ~ r1(sK24,X56)
| p1(X56)
| ( r1(X56,sK27(X56))
& r1(sK27(X56),sK28(X56))
& ~ p1(sK28(X56))
& p1(sK27(X56)) ) )
& ! [X59] :
( ~ r1(sK13,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ~ r1(X62,X63)
| ! [X64] :
( ~ r1(X63,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p1(X65) ) )
| ( r1(X63,sK29(X63))
& ~ p1(sK29(X63)) ) ) ) ) ) )
& ! [X67] :
( ~ r1(sK13,X67)
| ! [X68] :
( ~ r1(X67,X68)
| ! [X69] :
( ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| ! [X71] :
( ~ r1(X70,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p1(X72) ) )
| ( r1(X70,sK30(X70))
& ~ p1(sK30(X70)) ) ) ) ) )
& ! [X74] :
( ~ r1(sK13,X74)
| ! [X75] :
( ~ r1(X74,X75)
| ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| ! [X78] :
( ~ r1(X77,X78)
| p1(X78) ) )
| ( r1(X76,sK31(X76))
& ~ p1(sK31(X76)) ) ) ) )
& ! [X80] :
( ~ r1(sK13,X80)
| ! [X81] :
( ~ r1(X80,X81)
| ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p1(X83) ) )
| ( r1(X81,sK32(X81))
& ~ p1(sK32(X81)) ) ) )
& ! [X85] :
( ~ r1(sK13,X85)
| ! [X86] :
( ~ r1(X85,X86)
| ! [X87] :
( ~ r1(X86,X87)
| p1(X87) ) )
| ( r1(X85,sK33(X85))
& ~ p1(sK33(X85)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33]),skolemize(X0,sK13),skolemize(X12,sK14(X9)),skolemize(X23,sK15(X20)),skolemize(X33,sK16(X30)),skolemize(X43,sK17(X40)),skolemize(X44,sK18(X39)),skolemize(X47,sK19),skolemize(X48,sK20),skolemize(X49,sK21),skolemize(X50,sK22),skolemize(X51,sK23),skolemize(X52,sK24),skolemize(X53,sK25),skolemize(X54,sK26),skolemize(X57,sK27(X56)),skolemize(X58,sK28(X56)),skolemize(X66,sK29(X63)),skolemize(X73,sK30(X70)),skolemize(X79,sK31(X76)),skolemize(X84,sK32(X81)),skolemize(X88,sK33(X85))],[f25]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ p1(sK5(X2))
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| sP1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ r1(X0,X2)
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X1)
| r1(sK4(X2),sK5(X2))
| sP1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ r1(X0,X2)
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X1)
| r1(X2,sK4(X2))
| sP1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| ~ p1(sK6(X1))
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
! [X0,X1] :
( ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0)
| r1(X0,sK7(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f36,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p1(X0)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X3,X0,X4,X5] :
( ~ r1(sK8(X0),X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| p1(X5)
| ~ p1(X4)
| p1(X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f42,plain,
! [X0] :
( ~ p1(sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0] :
( r1(sK8(X0),sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f44,plain,
! [X0] :
( r1(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(X2)
| p1(sK11(X2))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ p1(sK12(X2))
| ~ r1(X1,X2)
| p1(X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(X2)
| r1(sK11(X2),sK12(X2))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(X2)
| r1(X2,sK11(X2))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f59,plain,
! [X56] :
( ~ r1(sK24,X56)
| p1(X56)
| p1(sK27(X56)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f60,plain,
! [X56] :
( ~ p1(sK28(X56))
| p1(X56)
| ~ r1(sK24,X56) ),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
! [X56] :
( r1(sK27(X56),sK28(X56))
| p1(X56)
| ~ r1(sK24,X56) ),
inference(cnf_transformation,[],[f26]) ).
fof(f62,plain,
! [X56] :
( r1(X56,sK27(X56))
| p1(X56)
| ~ r1(sK24,X56) ),
inference(cnf_transformation,[],[f26]) ).
fof(f63,plain,
! [X55] :
( ~ r1(sK26,X55)
| p1(X55) ),
inference(cnf_transformation,[],[f26]) ).
fof(f64,plain,
r1(sK24,sK26),
inference(cnf_transformation,[],[f26]) ).
fof(f65,plain,
~ p1(sK25),
inference(cnf_transformation,[],[f26]) ).
fof(f66,plain,
r1(sK24,sK25),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
r1(sK23,sK24),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
r1(sK22,sK23),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
r1(sK21,sK22),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
r1(sK20,sK21),
inference(cnf_transformation,[],[f26]) ).
fof(f71,plain,
r1(sK19,sK20),
inference(cnf_transformation,[],[f26]) ).
fof(f72,plain,
r1(sK13,sK19),
inference(cnf_transformation,[],[f26]) ).
fof(f73,plain,
! [X38,X39,X46,X36,X37,X45,X34,X35] :
( ~ r1(sK18(X39),X45)
| ~ r1(X34,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| sP0(X39)
| ~ r1(sK13,X34)
| ~ r1(X45,X46)
| p1(X46)
| ~ p1(X45) ),
inference(cnf_transformation,[],[f26]) ).
fof(f74,plain,
! [X38,X39,X36,X37,X34,X35] :
( ~ p1(sK18(X39))
| ~ r1(X34,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| sP0(X39)
| ~ r1(sK13,X34) ),
inference(cnf_transformation,[],[f26]) ).
fof(f75,plain,
! [X38,X39,X36,X37,X34,X35] :
( ~ r1(sK13,X34)
| ~ r1(X34,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| sP0(X39)
| r1(X39,sK18(X39)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f78,plain,
! [X38,X39,X36,X37,X34,X35] :
( ~ r1(sK13,X34)
| ~ r1(X34,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| sP2(X39) ),
inference(cnf_transformation,[],[f26]) ).
fof(f79,plain,
! [X38,X39,X36,X37,X34,X35] :
( ~ r1(sK13,X34)
| ~ r1(X34,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| sP3(X39) ),
inference(cnf_transformation,[],[f26]) ).
fof(f80,plain,
! [X31,X28,X29,X26,X27,X24,X25,X32,X30] :
( ~ p1(sK16(X30))
| ~ r1(X24,X25)
| ~ r1(X25,X26)
| ~ r1(X26,X27)
| ~ r1(X27,X28)
| ~ r1(X28,X29)
| ~ r1(X29,X30)
| ~ r1(X30,X31)
| ~ r1(X31,X32)
| p1(X32)
| ~ r1(sK13,X24) ),
inference(cnf_transformation,[],[f26]) ).
fof(f81,plain,
! [X31,X28,X29,X26,X27,X24,X25,X32,X30] :
( ~ r1(sK13,X24)
| ~ r1(X24,X25)
| ~ r1(X25,X26)
| ~ r1(X26,X27)
| ~ r1(X27,X28)
| ~ r1(X28,X29)
| ~ r1(X29,X30)
| ~ r1(X30,X31)
| ~ r1(X31,X32)
| p1(X32)
| r1(X30,sK16(X30)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f112,definition,
( spl34_5
<=> p1(sK24) ),
introduced(definition,[new_symbols(definition,[spl34_5])],[avatar_definition]) ).
fof(f113,plain,
( ~ p1(sK24)
| spl34_5 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( p1(sK24)
| ~ spl34_5 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f190,plain,
( p1(sK24)
| r1(sK26,sK6(sK26))
| r1(sK24,sK7(sK24))
| ~ sP2(sK24) ),
inference(resolution,[],[f37,f64]) ).
fof(f193,definition,
( spl34_23
<=> sP2(sK24) ),
introduced(definition,[new_symbols(definition,[spl34_23])],[avatar_definition]) ).
fof(f194,plain,
( sP2(sK24)
| ~ spl34_23 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f195,plain,
( ~ sP2(sK24)
| spl34_23 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f197,definition,
( spl34_24
<=> r1(sK24,sK7(sK24)) ),
introduced(definition,[new_symbols(definition,[spl34_24])],[avatar_definition]) ).
fof(f198,plain,
( ~ r1(sK24,sK7(sK24))
| spl34_24 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( r1(sK24,sK7(sK24))
| ~ spl34_24 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f206,definition,
( spl34_26
<=> r1(sK26,sK6(sK26)) ),
introduced(definition,[new_symbols(definition,[spl34_26])],[avatar_definition]) ).
fof(f208,plain,
( r1(sK26,sK6(sK26))
| ~ spl34_26 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,plain,
( ~ spl34_23
| spl34_24
| spl34_26
| spl34_5 ),
inference(avatar_split_clause,[],[f190,f112,f206,f197,f193]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK19,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| sP3(X4) ),
inference(resolution,[],[f79,f72]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK19,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| sP2(X4) ),
inference(resolution,[],[f78,f72]) ).
fof(f356,plain,
! [X0] :
( p1(X0)
| ~ p1(sK24)
| ~ r1(sK24,X0)
| r1(sK26,sK4(sK26))
| sP1(sK24)
| ~ sP3(sK24) ),
inference(resolution,[],[f31,f64]) ).
fof(f359,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK24,X0)
| r1(sK26,sK4(sK26))
| sP1(sK24)
| ~ sP3(sK24) )
| ~ spl34_5 ),
inference(forward_subsumption_resolution,[],[f356,f114]) ).
fof(f382,definition,
( spl34_56
<=> sP3(sK24) ),
introduced(definition,[new_symbols(definition,[spl34_56])],[avatar_definition]) ).
fof(f383,plain,
( sP3(sK24)
| ~ spl34_56 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ sP3(sK24)
| spl34_56 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f386,definition,
( spl34_57
<=> sP1(sK24) ),
introduced(definition,[new_symbols(definition,[spl34_57])],[avatar_definition]) ).
fof(f387,plain,
( ~ sP1(sK24)
| spl34_57 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( sP1(sK24)
| ~ spl34_57 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f394,definition,
( spl34_59
<=> ! [X0] :
( p1(X0)
| ~ r1(sK24,X0) ) ),
introduced(definition,[new_symbols(definition,[spl34_59])],[avatar_definition]) ).
fof(f395,plain,
( ! [X0] :
( ~ r1(sK24,X0)
| p1(X0) )
| ~ spl34_59 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f398,definition,
( spl34_60
<=> r1(sK26,sK4(sK26)) ),
introduced(definition,[new_symbols(definition,[spl34_60])],[avatar_definition]) ).
fof(f400,plain,
( r1(sK26,sK4(sK26))
| ~ spl34_60 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f401,plain,
( ~ spl34_56
| spl34_57
| spl34_60
| spl34_59
| ~ spl34_5 ),
inference(avatar_split_clause,[],[f359,f112,f394,f398,f386,f382]) ).
fof(f489,plain,
! [X2,X0,X1] :
( p1(sK7(X0))
| ~ r1(sK24,sK7(X0))
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK27(sK7(X0)),X2)
| p1(X2)
| ~ p1(sK27(sK7(X0)))
| ~ sP2(X0) ),
inference(resolution,[],[f62,f35]) ).
fof(f498,plain,
! [X2,X0,X1] :
( p1(sK7(X0))
| ~ r1(sK24,sK7(X0))
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK27(sK7(X0)),X2)
| p1(X2)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f489,f59]) ).
fof(f511,plain,
! [X2,X0,X1] :
( ~ r1(sK27(sK7(X0)),X2)
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK24,sK7(X0))
| p1(X2)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f498,f36]) ).
fof(f513,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ r1(sK9(X0),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| p1(sK9(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f43,f38]) ).
fof(f515,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| p1(sK9(X0))
| p1(sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(resolution,[],[f43,f45]) ).
fof(f516,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| p1(sK9(X0))
| r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP0(X1) ),
inference(resolution,[],[f43,f47]) ).
fof(f518,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| p1(sK9(X0))
| r1(sK9(X0),sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(resolution,[],[f43,f48]) ).
fof(f519,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ r1(sK9(X0),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| p1(sK9(X0)) ),
inference(duplicate_literal_removal,[],[f513]) ).
fof(f521,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| r1(sK9(X0),sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(forward_subsumption_resolution,[],[f518,f42]) ).
fof(f522,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP0(X1) ),
inference(forward_subsumption_resolution,[],[f516,f42]) ).
fof(f523,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| p1(sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(forward_subsumption_resolution,[],[f515,f42]) ).
fof(f525,plain,
! [X2,X0,X1] :
( ~ r1(sK9(X0),X1)
| ~ sP1(X0)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1) ),
inference(forward_subsumption_resolution,[],[f519,f42]) ).
fof(f558,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(sK27(sK7(X0)),X2)
| p1(X2)
| ~ p1(sK27(sK7(X0)))
| ~ sP2(X0)
| p1(sK7(X0))
| ~ r1(sK24,sK7(X0)) ),
inference(resolution,[],[f32,f62]) ).
fof(f561,plain,
! [X2,X0,X1] :
( ~ r1(sK27(sK7(X0)),X2)
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| p1(X2)
| ~ p1(sK27(sK7(X0)))
| ~ sP2(X0)
| ~ r1(sK24,sK7(X0)) ),
inference(forward_subsumption_resolution,[],[f558,f33]) ).
fof(f571,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f522,f44]) ).
fof(f573,plain,
! [X0] :
( r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f571]) ).
fof(f590,plain,
! [X0] :
( p1(X0)
| ~ p1(sK24)
| ~ r1(sK24,X0)
| r1(sK4(sK26),sK5(sK26))
| sP1(sK24)
| ~ sP3(sK24) ),
inference(resolution,[],[f30,f64]) ).
fof(f593,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK19,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| sP0(X4)
| r1(X4,sK18(X4)) ),
inference(resolution,[],[f75,f72]) ).
fof(f604,plain,
! [X0,X1] :
( p1(sK7(X0))
| ~ r1(sK24,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| p1(sK28(sK7(X0)))
| ~ p1(sK27(sK7(X0)))
| ~ sP2(X0)
| ~ r1(sK24,sK7(X0)) ),
inference(resolution,[],[f61,f561]) ).
fof(f613,plain,
! [X0,X1] :
( p1(sK7(X0))
| ~ r1(sK24,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| p1(sK28(sK7(X0)))
| ~ p1(sK27(sK7(X0)))
| ~ sP2(X0) ),
inference(duplicate_literal_removal,[],[f604]) ).
fof(f620,plain,
! [X0,X1] :
( p1(sK7(X0))
| ~ r1(sK24,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| ~ p1(sK27(sK7(X0)))
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f613,f60]) ).
fof(f622,plain,
! [X0,X1] :
( p1(sK7(X0))
| ~ r1(sK24,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f620,f59]) ).
fof(f623,plain,
! [X0,X1] :
( ~ r1(sK24,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f622,f33]) ).
fof(f624,plain,
! [X0] :
( ~ sP1(X0)
| p1(sK11(sK9(X0)))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f523,f44]) ).
fof(f626,plain,
! [X0] :
( p1(sK11(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f624]) ).
fof(f668,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK9(X0),sK11(sK9(X0)))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f521,f44]) ).
fof(f670,plain,
! [X0] :
( r1(sK9(X0),sK11(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f668]) ).
fof(f672,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ sP1(X0)
| ~ r1(sK11(sK9(X0)),X1)
| p1(X1)
| ~ p1(sK11(sK9(X0))) ),
inference(resolution,[],[f670,f525]) ).
fof(f680,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ r1(sK11(sK9(X0)),X1)
| p1(X1)
| ~ p1(sK11(sK9(X0))) ),
inference(duplicate_literal_removal,[],[f672]) ).
fof(f683,plain,
! [X0,X1] :
( ~ r1(sK11(sK9(X0)),X1)
| ~ sP0(X0)
| ~ sP1(X0)
| p1(X1) ),
inference(forward_subsumption_resolution,[],[f680,f626]) ).
fof(f685,plain,
! [X0] :
( ~ sP0(X0)
| ~ sP1(X0)
| p1(sK12(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f683,f573]) ).
fof(f689,plain,
! [X0] :
( p1(sK12(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f685]) ).
fof(f690,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ r1(X1,sK9(X0))
| p1(sK9(X0))
| ~ r1(X2,X1)
| ~ sP0(X2) ),
inference(resolution,[],[f689,f46]) ).
fof(f691,plain,
! [X2,X0,X1] :
( ~ r1(X1,sK9(X0))
| ~ sP0(X0)
| ~ sP1(X0)
| ~ r1(X2,X1)
| ~ sP0(X2) ),
inference(forward_subsumption_resolution,[],[f690,f42]) ).
fof(f693,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| ~ sP0(X1)
| ~ sP1(X0) ),
inference(resolution,[],[f691,f43]) ).
fof(f694,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| ~ sP0(X0)
| ~ sP0(X1) ),
inference(duplicate_literal_removal,[],[f693]) ).
fof(f695,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f694,f44]) ).
fof(f697,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f698,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(sK19,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| p1(X7)
| r1(X5,sK16(X5)) ),
inference(resolution,[],[f81,f72]) ).
fof(f702,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK24,sK7(X0))
| p1(sK28(sK7(X0)))
| ~ sP2(X0)
| p1(sK7(X0))
| ~ r1(sK24,sK7(X0)) ),
inference(resolution,[],[f511,f61]) ).
fof(f706,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK24,sK7(X0))
| p1(sK28(sK7(X0)))
| ~ sP2(X0)
| p1(sK7(X0)) ),
inference(duplicate_literal_removal,[],[f702]) ).
fof(f707,plain,
! [X0,X1] :
( ~ r1(sK24,sK7(X0))
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| p1(sK28(sK7(X0)))
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f706,f36]) ).
fof(f712,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK20,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| sP3(X3) ),
inference(resolution,[],[f344,f71]) ).
fof(f720,plain,
! [X2,X0,X1] :
( ~ r1(sK21,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP3(X2) ),
inference(resolution,[],[f712,f70]) ).
fof(f728,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| sP3(X1) ),
inference(resolution,[],[f720,f69]) ).
fof(f736,plain,
! [X0] :
( ~ r1(sK23,X0)
| sP3(X0) ),
inference(resolution,[],[f728,f68]) ).
fof(f744,plain,
sP3(sK24),
inference(resolution,[],[f736,f67]) ).
fof(f755,plain,
( $false
| spl34_56 ),
inference(forward_subsumption_resolution,[],[f744,f384]) ).
fof(f756,plain,
spl34_56,
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f768,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK20,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| sP2(X3) ),
inference(resolution,[],[f346,f71]) ).
fof(f772,plain,
! [X2,X0,X1] :
( ~ r1(sK21,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP2(X2) ),
inference(resolution,[],[f768,f70]) ).
fof(f776,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| sP2(X1) ),
inference(resolution,[],[f772,f69]) ).
fof(f780,plain,
! [X0] :
( ~ r1(sK23,X0)
| sP2(X0) ),
inference(resolution,[],[f776,f68]) ).
fof(f784,plain,
sP2(sK24),
inference(resolution,[],[f780,f67]) ).
fof(f790,plain,
( $false
| spl34_23 ),
inference(forward_subsumption_resolution,[],[f784,f195]) ).
fof(f791,plain,
spl34_23,
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f806,definition,
( spl34_96
<=> p1(sK7(sK24)) ),
introduced(definition,[new_symbols(definition,[spl34_96])],[avatar_definition]) ).
fof(f807,plain,
( ~ p1(sK7(sK24))
| spl34_96 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f808,plain,
( p1(sK7(sK24))
| ~ spl34_96 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f864,plain,
( p1(sK6(sK26))
| ~ spl34_26 ),
inference(resolution,[],[f208,f63]) ).
fof(f877,definition,
( spl34_106
<=> p1(sK6(sK26)) ),
introduced(definition,[new_symbols(definition,[spl34_106])],[avatar_definition]) ).
fof(f879,plain,
( p1(sK6(sK26))
| ~ spl34_106 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f894,plain,
( spl34_106
| ~ spl34_26 ),
inference(avatar_split_clause,[],[f864,f206,f877]) ).
fof(f895,plain,
( ~ sP0(sK24)
| ~ spl34_57 ),
inference(resolution,[],[f388,f697]) ).
fof(f907,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| sP0(X5)
| ~ r1(sK13,X0)
| ~ r1(sK27(sK18(X5)),X6)
| p1(X6)
| ~ p1(sK27(sK18(X5)))
| p1(sK18(X5))
| ~ r1(sK24,sK18(X5)) ),
inference(resolution,[],[f73,f62]) ).
fof(f910,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(sK27(sK18(X5)),X6)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| sP0(X5)
| ~ r1(sK13,X0)
| ~ r1(X0,X1)
| p1(X6)
| ~ p1(sK27(sK18(X5)))
| ~ r1(sK24,sK18(X5)) ),
inference(forward_subsumption_resolution,[],[f907,f74]) ).
fof(f911,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| sP0(X4)
| ~ r1(sK13,X5)
| ~ r1(X5,X0)
| p1(sK28(sK18(X4)))
| ~ p1(sK27(sK18(X4)))
| ~ r1(sK24,sK18(X4))
| p1(sK18(X4))
| ~ r1(sK24,sK18(X4)) ),
inference(resolution,[],[f910,f61]) ).
fof(f915,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| sP0(X4)
| ~ r1(sK13,X5)
| ~ r1(X5,X0)
| p1(sK28(sK18(X4)))
| ~ p1(sK27(sK18(X4)))
| ~ r1(sK24,sK18(X4))
| p1(sK18(X4)) ),
inference(duplicate_literal_removal,[],[f911]) ).
fof(f916,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p1(sK27(sK18(X4)))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| sP0(X4)
| ~ r1(sK13,X5)
| ~ r1(X5,X0)
| p1(sK28(sK18(X4)))
| ~ r1(X0,X1)
| ~ r1(sK24,sK18(X4)) ),
inference(forward_subsumption_resolution,[],[f915,f74]) ).
fof(f1140,definition,
( spl34_140
<=> ! [X0,X1] :
( ~ r1(sK26,X0)
| p1(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl34_140])],[avatar_definition]) ).
fof(f1141,plain,
( ! [X0,X1] :
( ~ r1(sK26,X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl34_140 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1268,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(sK20,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| p1(X6)
| r1(X4,sK16(X4)) ),
inference(resolution,[],[f698,f71]) ).
fof(f1272,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(sK21,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| p1(X5)
| r1(X3,sK16(X3)) ),
inference(resolution,[],[f1268,f70]) ).
fof(f1276,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p1(X4)
| r1(X2,sK16(X2)) ),
inference(resolution,[],[f1272,f69]) ).
fof(f1280,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK23,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p1(X3)
| r1(X1,sK16(X1)) ),
inference(resolution,[],[f1276,f68]) ).
fof(f1284,plain,
! [X2,X0,X1] :
( ~ r1(sK24,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p1(X2)
| r1(X0,sK16(X0)) ),
inference(resolution,[],[f1280,f67]) ).
fof(f1289,plain,
! [X0,X1] :
( ~ r1(sK26,X0)
| ~ r1(X0,X1)
| p1(X1)
| r1(sK26,sK16(sK26)) ),
inference(resolution,[],[f1284,f64]) ).
fof(f1309,definition,
( spl34_163
<=> r1(sK26,sK16(sK26)) ),
introduced(definition,[new_symbols(definition,[spl34_163])],[avatar_definition]) ).
fof(f1311,plain,
( r1(sK26,sK16(sK26))
| ~ spl34_163 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1312,plain,
( spl34_163
| spl34_140 ),
inference(avatar_split_clause,[],[f1289,f1140,f1309]) ).
fof(f1322,plain,
( p1(sK25)
| ~ spl34_59 ),
inference(resolution,[],[f395,f66]) ).
fof(f1326,plain,
( $false
| ~ spl34_59 ),
inference(forward_subsumption_resolution,[],[f1322,f65]) ).
fof(f1327,plain,
~ spl34_59,
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1329,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK24,X0)
| r1(sK4(sK26),sK5(sK26))
| sP1(sK24)
| ~ sP3(sK24) )
| ~ spl34_5 ),
inference(forward_subsumption_resolution,[],[f590,f114]) ).
fof(f1333,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK24,X0)
| r1(sK4(sK26),sK5(sK26))
| ~ sP3(sK24) )
| ~ spl34_5
| spl34_57 ),
inference(forward_subsumption_resolution,[],[f1329,f387]) ).
fof(f1337,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK24,X0)
| r1(sK4(sK26),sK5(sK26)) )
| ~ spl34_5
| ~ spl34_56
| spl34_57 ),
inference(forward_subsumption_resolution,[],[f1333,f383]) ).
fof(f1346,definition,
( spl34_167
<=> r1(sK4(sK26),sK5(sK26)) ),
introduced(definition,[new_symbols(definition,[spl34_167])],[avatar_definition]) ).
fof(f1348,plain,
( r1(sK4(sK26),sK5(sK26))
| ~ spl34_167 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1349,plain,
( spl34_167
| spl34_59
| ~ spl34_5
| ~ spl34_56
| spl34_57 ),
inference(avatar_split_clause,[],[f1337,f386,f382,f112,f394,f1346]) ).
fof(f1536,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK20,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| sP0(X3)
| r1(X3,sK18(X3)) ),
inference(resolution,[],[f593,f71]) ).
fof(f1540,plain,
! [X2,X0,X1] :
( ~ r1(sK21,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP0(X2)
| r1(X2,sK18(X2)) ),
inference(resolution,[],[f1536,f70]) ).
fof(f1544,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| sP0(X1)
| r1(X1,sK18(X1)) ),
inference(resolution,[],[f1540,f69]) ).
fof(f1548,plain,
! [X0] :
( r1(X0,sK18(X0))
| sP0(X0)
| ~ r1(sK23,X0) ),
inference(resolution,[],[f1544,f68]) ).
fof(f1621,plain,
( sP0(sK24)
| ~ r1(sK23,sK24)
| p1(sK18(sK24))
| p1(sK27(sK18(sK24))) ),
inference(resolution,[],[f1548,f59]) ).
fof(f1949,definition,
( spl34_264
<=> p1(sK27(sK18(sK24))) ),
introduced(definition,[new_symbols(definition,[spl34_264])],[avatar_definition]) ).
fof(f1951,plain,
( p1(sK27(sK18(sK24)))
| ~ spl34_264 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f1953,definition,
( spl34_265
<=> p1(sK18(sK24)) ),
introduced(definition,[new_symbols(definition,[spl34_265])],[avatar_definition]) ).
fof(f1955,plain,
( p1(sK18(sK24))
| ~ spl34_265 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f1970,plain,
( sP0(sK24)
| p1(sK18(sK24))
| p1(sK27(sK18(sK24))) ),
inference(forward_subsumption_resolution,[],[f1621,f67]) ).
fof(f1980,definition,
( spl34_269
<=> sP0(sK24) ),
introduced(definition,[new_symbols(definition,[spl34_269])],[avatar_definition]) ).
fof(f1981,plain,
( ~ sP0(sK24)
| spl34_269 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f1982,plain,
( sP0(sK24)
| ~ spl34_269 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f1983,plain,
( spl34_264
| spl34_265
| spl34_269 ),
inference(avatar_split_clause,[],[f1970,f1980,f1953,f1949]) ).
fof(f2019,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| p1(sK24)
| ~ r1(sK24,X0)
| ~ sP2(sK24) )
| ~ spl34_24 ),
inference(resolution,[],[f199,f623]) ).
fof(f2037,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(sK24,X0)
| ~ sP2(sK24) )
| spl34_5
| ~ spl34_24 ),
inference(forward_subsumption_resolution,[],[f2019,f113]) ).
fof(f2038,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(sK24,X0) )
| spl34_5
| ~ spl34_23
| ~ spl34_24 ),
inference(forward_subsumption_resolution,[],[f2037,f194]) ).
fof(f2138,plain,
( ! [X0] :
( ~ r1(sK24,X0)
| r1(X0,sK6(X0))
| p1(sK24)
| ~ sP2(sK24) )
| ~ spl34_96 ),
inference(resolution,[],[f808,f36]) ).
fof(f2140,plain,
( ! [X0] :
( ~ r1(sK24,X0)
| r1(X0,sK6(X0))
| ~ sP2(sK24) )
| spl34_5
| ~ spl34_96 ),
inference(forward_subsumption_resolution,[],[f2138,f113]) ).
fof(f2141,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK24,X0) )
| spl34_5
| ~ spl34_23
| ~ spl34_96 ),
inference(forward_subsumption_resolution,[],[f2140,f194]) ).
fof(f2218,plain,
( ~ r1(sK24,sK26)
| p1(sK6(sK26))
| spl34_5
| ~ spl34_23
| ~ spl34_96 ),
inference(resolution,[],[f2141,f63]) ).
fof(f2251,plain,
( ~ r1(sK24,sK26)
| spl34_5
| ~ spl34_23
| ~ spl34_24
| ~ spl34_96 ),
inference(forward_subsumption_resolution,[],[f2218,f2038]) ).
fof(f2400,plain,
( $false
| spl34_5
| ~ spl34_23
| ~ spl34_24
| ~ spl34_96 ),
inference(forward_subsumption_resolution,[],[f2251,f64]) ).
fof(f2401,plain,
( spl34_5
| ~ spl34_23
| ~ spl34_24
| ~ spl34_96 ),
inference(avatar_contradiction_clause,[],[f2400]) ).
fof(f2438,definition,
( spl34_335
<=> p1(sK5(sK26)) ),
introduced(definition,[new_symbols(definition,[spl34_335])],[avatar_definition]) ).
fof(f2439,plain,
( ~ p1(sK5(sK26))
| spl34_335 ),
inference(avatar_component_clause,[],[f2438]) ).
fof(f2440,plain,
( p1(sK5(sK26))
| ~ spl34_335 ),
inference(avatar_component_clause,[],[f2438]) ).
fof(f2471,definition,
( spl34_342
<=> ! [X0] :
( p1(X0)
| ~ r1(sK4(sK26),X0) ) ),
introduced(definition,[new_symbols(definition,[spl34_342])],[avatar_definition]) ).
fof(f2472,plain,
( ! [X0] :
( ~ r1(sK4(sK26),X0)
| p1(X0) )
| ~ spl34_342 ),
inference(avatar_component_clause,[],[f2471]) ).
fof(f2484,plain,
( $false
| ~ spl34_57
| ~ spl34_269 ),
inference(forward_subsumption_resolution,[],[f895,f1982]) ).
fof(f2485,plain,
( ~ spl34_57
| ~ spl34_269 ),
inference(avatar_contradiction_clause,[],[f2484]) ).
fof(f2555,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,sK24)
| sP0(sK24)
| ~ r1(sK13,X3)
| ~ r1(X3,X4)
| p1(sK28(sK18(sK24)))
| ~ r1(X4,X0)
| ~ r1(sK24,sK18(sK24)) )
| ~ spl34_264 ),
inference(resolution,[],[f1951,f916]) ).
fof(f2556,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,sK24)
| sP0(sK24)
| ~ r1(sK13,X3)
| ~ r1(X3,X4)
| p1(sK28(sK18(sK24)))
| ~ r1(X4,X0) )
| ~ spl34_264 ),
inference(forward_subsumption_resolution,[],[f2555,f75]) ).
fof(f2557,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,sK24)
| ~ r1(sK13,X3)
| ~ r1(X3,X4)
| p1(sK28(sK18(sK24)))
| ~ r1(X4,X0) )
| ~ spl34_264
| spl34_269 ),
inference(forward_subsumption_resolution,[],[f2556,f1981]) ).
fof(f2559,definition,
( spl34_356
<=> p1(sK28(sK18(sK24))) ),
introduced(definition,[new_symbols(definition,[spl34_356])],[avatar_definition]) ).
fof(f2561,plain,
( p1(sK28(sK18(sK24)))
| ~ spl34_356 ),
inference(avatar_component_clause,[],[f2559]) ).
fof(f2563,definition,
( spl34_357
<=> ! [X2,X4,X0,X3,X1] :
( ~ r1(X0,X1)
| ~ r1(sK13,X3)
| ~ r1(X4,X0)
| ~ r1(X3,X4)
| ~ r1(X2,sK24)
| ~ r1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl34_357])],[avatar_definition]) ).
fof(f2564,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK13,X3)
| ~ r1(X0,X1)
| ~ r1(X4,X0)
| ~ r1(X3,X4)
| ~ r1(X2,sK24)
| ~ r1(X1,X2) )
| ~ spl34_357 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f2565,plain,
( spl34_356
| spl34_357
| ~ spl34_264
| spl34_269 ),
inference(avatar_split_clause,[],[f2557,f1980,f1949,f2563,f2559]) ).
fof(f2566,plain,
( p1(sK18(sK24))
| ~ r1(sK24,sK18(sK24))
| ~ spl34_356 ),
inference(resolution,[],[f2561,f60]) ).
fof(f2568,definition,
( spl34_358
<=> r1(sK24,sK18(sK24)) ),
introduced(definition,[new_symbols(definition,[spl34_358])],[avatar_definition]) ).
fof(f2570,plain,
( ~ r1(sK24,sK18(sK24))
| spl34_358 ),
inference(avatar_component_clause,[],[f2568]) ).
fof(f2571,plain,
( ~ spl34_358
| spl34_265
| ~ spl34_356 ),
inference(avatar_split_clause,[],[f2566,f2559,f1953,f2568]) ).
fof(f2582,plain,
( sP0(sK24)
| ~ r1(sK23,sK24)
| spl34_358 ),
inference(resolution,[],[f2570,f1548]) ).
fof(f2583,plain,
( ~ r1(sK23,sK24)
| spl34_269
| spl34_358 ),
inference(forward_subsumption_resolution,[],[f2582,f1981]) ).
fof(f2584,plain,
( $false
| spl34_269
| spl34_358 ),
inference(forward_subsumption_resolution,[],[f2583,f67]) ).
fof(f2585,plain,
( spl34_269
| spl34_358 ),
inference(avatar_contradiction_clause,[],[f2584]) ).
fof(f2598,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,sK24)
| sP0(sK24)
| ~ r1(sK13,X0) )
| ~ spl34_265 ),
inference(resolution,[],[f1955,f74]) ).
fof(f2599,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,sK24)
| ~ r1(sK13,X0) )
| ~ spl34_265
| spl34_269 ),
inference(forward_subsumption_resolution,[],[f2598,f1981]) ).
fof(f2600,plain,
( spl34_357
| ~ spl34_265
| spl34_269 ),
inference(avatar_split_clause,[],[f2599,f1980,f1953,f2563]) ).
fof(f2601,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK19,X2)
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| ~ r1(X3,sK24)
| ~ r1(X1,X3) )
| ~ spl34_357 ),
inference(resolution,[],[f2564,f72]) ).
fof(f2606,plain,
( ! [X2,X0,X1] :
( ~ r1(sK20,X0)
| ~ r1(X0,X1)
| ~ r1(X2,sK24)
| ~ r1(X1,X2) )
| ~ spl34_357 ),
inference(resolution,[],[f2601,f71]) ).
fof(f2611,plain,
( ! [X0,X1] :
( ~ r1(sK21,X0)
| ~ r1(X1,sK24)
| ~ r1(X0,X1) )
| ~ spl34_357 ),
inference(resolution,[],[f2606,f70]) ).
fof(f2616,plain,
( ! [X0] :
( ~ r1(sK22,X0)
| ~ r1(X0,sK24) )
| ~ spl34_357 ),
inference(resolution,[],[f2611,f69]) ).
fof(f2621,plain,
( ~ r1(sK23,sK24)
| ~ spl34_357 ),
inference(resolution,[],[f2616,f68]) ).
fof(f2626,plain,
( $false
| ~ spl34_357 ),
inference(forward_subsumption_resolution,[],[f2621,f67]) ).
fof(f2627,plain,
~ spl34_357,
inference(avatar_contradiction_clause,[],[f2626]) ).
fof(f2667,plain,
( ! [X0,X1] :
( ~ r1(X1,sK26)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0)
| sP1(X1)
| ~ sP3(X1) )
| ~ spl34_335 ),
inference(resolution,[],[f2440,f29]) ).
fof(f2879,plain,
( ! [X0] :
( ~ p1(sK24)
| p1(X0)
| ~ r1(sK24,X0)
| sP1(sK24)
| ~ sP3(sK24) )
| ~ spl34_335 ),
inference(resolution,[],[f2667,f64]) ).
fof(f2880,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK24,X0)
| sP1(sK24)
| ~ sP3(sK24) )
| ~ spl34_5
| ~ spl34_335 ),
inference(forward_subsumption_resolution,[],[f2879,f114]) ).
fof(f2881,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK24,X0)
| ~ sP3(sK24) )
| ~ spl34_5
| spl34_57
| ~ spl34_335 ),
inference(forward_subsumption_resolution,[],[f2880,f387]) ).
fof(f2882,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK24,X0) )
| ~ spl34_5
| ~ spl34_56
| spl34_57
| ~ spl34_335 ),
inference(forward_subsumption_resolution,[],[f2881,f383]) ).
fof(f2883,plain,
( spl34_59
| ~ spl34_5
| ~ spl34_56
| spl34_57
| ~ spl34_335 ),
inference(avatar_split_clause,[],[f2882,f2438,f386,f382,f112,f394]) ).
fof(f3764,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK4(sK26),X0) )
| ~ spl34_60
| ~ spl34_140 ),
inference(resolution,[],[f1141,f400]) ).
fof(f3769,plain,
( spl34_342
| ~ spl34_60
| ~ spl34_140 ),
inference(avatar_split_clause,[],[f3764,f1140,f398,f2471]) ).
fof(f3770,plain,
( p1(sK5(sK26))
| ~ spl34_167
| ~ spl34_342 ),
inference(resolution,[],[f2472,f1348]) ).
fof(f3776,plain,
( $false
| ~ spl34_167
| spl34_335
| ~ spl34_342 ),
inference(forward_subsumption_resolution,[],[f3770,f2439]) ).
fof(f3777,plain,
( ~ spl34_167
| spl34_335
| ~ spl34_342 ),
inference(avatar_contradiction_clause,[],[f3776]) ).
fof(f3794,plain,
( p1(sK16(sK26))
| ~ spl34_163 ),
inference(resolution,[],[f1311,f63]) ).
fof(f3808,definition,
( spl34_501
<=> p1(sK16(sK26)) ),
introduced(definition,[new_symbols(definition,[spl34_501])],[avatar_definition]) ).
fof(f3810,plain,
( p1(sK16(sK26))
| ~ spl34_501 ),
inference(avatar_component_clause,[],[f3808]) ).
fof(f3822,plain,
( spl34_501
| ~ spl34_163 ),
inference(avatar_split_clause,[],[f3794,f1309,f3808]) ).
fof(f3831,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,sK26)
| ~ r1(sK26,X6)
| ~ r1(X6,X7)
| p1(X7)
| ~ r1(sK13,X0) )
| ~ spl34_501 ),
inference(resolution,[],[f3810,f80]) ).
fof(f3833,definition,
( spl34_506
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ r1(X5,sK26)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl34_506])],[avatar_definition]) ).
fof(f3834,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(sK13,X0)
| ~ r1(X0,X1)
| ~ r1(X5,sK26)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2) )
| ~ spl34_506 ),
inference(avatar_component_clause,[],[f3833]) ).
fof(f3835,plain,
( spl34_140
| spl34_506
| ~ spl34_501 ),
inference(avatar_split_clause,[],[f3831,f3808,f3833,f1140]) ).
fof(f3836,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK19,X0)
| ~ r1(X1,sK26)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X0,X4) )
| ~ spl34_506 ),
inference(resolution,[],[f3834,f72]) ).
fof(f3841,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK20,X3)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X0,sK26) )
| ~ spl34_506 ),
inference(resolution,[],[f3836,f71]) ).
fof(f3847,plain,
( ! [X2,X0,X1] :
( ~ r1(sK21,X2)
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK26) )
| ~ spl34_506 ),
inference(resolution,[],[f3841,f70]) ).
fof(f3852,plain,
( ! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK26) )
| ~ spl34_506 ),
inference(resolution,[],[f3847,f69]) ).
fof(f3857,plain,
( ! [X0] :
( ~ r1(sK23,X0)
| ~ r1(X0,sK26) )
| ~ spl34_506 ),
inference(resolution,[],[f3852,f68]) ).
fof(f3862,plain,
( ~ r1(sK24,sK26)
| ~ spl34_506 ),
inference(resolution,[],[f3857,f67]) ).
fof(f3869,plain,
( $false
| ~ spl34_506 ),
inference(forward_subsumption_resolution,[],[f3862,f64]) ).
fof(f3870,plain,
~ spl34_506,
inference(avatar_contradiction_clause,[],[f3869]) ).
fof(f3947,plain,
( ! [X0] :
( r1(X0,sK7(X0))
| p1(X0)
| ~ r1(X0,sK26)
| ~ sP2(X0) )
| ~ spl34_106 ),
inference(resolution,[],[f879,f34]) ).
fof(f4124,definition,
( spl34_521
<=> p1(sK28(sK7(sK24))) ),
introduced(definition,[new_symbols(definition,[spl34_521])],[avatar_definition]) ).
fof(f4126,plain,
( p1(sK28(sK7(sK24)))
| ~ spl34_521 ),
inference(avatar_component_clause,[],[f4124]) ).
fof(f4128,definition,
( spl34_522
<=> ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK24,X0) ) ),
introduced(definition,[new_symbols(definition,[spl34_522])],[avatar_definition]) ).
fof(f4129,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK24,X0) )
| ~ spl34_522 ),
inference(avatar_component_clause,[],[f4128]) ).
fof(f4212,plain,
( p1(sK24)
| ~ r1(sK24,sK26)
| ~ sP2(sK24)
| spl34_24
| ~ spl34_106 ),
inference(resolution,[],[f3947,f198]) ).
fof(f4237,plain,
( ~ r1(sK24,sK26)
| ~ sP2(sK24)
| spl34_5
| spl34_24
| ~ spl34_106 ),
inference(forward_subsumption_resolution,[],[f4212,f113]) ).
fof(f4252,plain,
( ~ sP2(sK24)
| spl34_5
| spl34_24
| ~ spl34_106 ),
inference(forward_subsumption_resolution,[],[f4237,f64]) ).
fof(f4257,plain,
( $false
| spl34_5
| ~ spl34_23
| spl34_24
| ~ spl34_106 ),
inference(forward_subsumption_resolution,[],[f4252,f194]) ).
fof(f4258,plain,
( spl34_5
| ~ spl34_23
| spl34_24
| ~ spl34_106 ),
inference(avatar_contradiction_clause,[],[f4257]) ).
fof(f4260,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| p1(sK24)
| ~ r1(sK24,X0)
| p1(sK28(sK7(sK24)))
| ~ sP2(sK24) )
| ~ spl34_24 ),
inference(resolution,[],[f199,f707]) ).
fof(f4261,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| p1(sK24)
| ~ r1(sK24,X0)
| ~ sP2(sK24) )
| ~ spl34_24 ),
inference(resolution,[],[f199,f623]) ).
fof(f4279,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(sK24,X0)
| ~ sP2(sK24) )
| spl34_5
| ~ spl34_24 ),
inference(forward_subsumption_resolution,[],[f4261,f113]) ).
fof(f4280,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK24,X0)
| p1(sK28(sK7(sK24)))
| ~ sP2(sK24) )
| spl34_5
| ~ spl34_24 ),
inference(forward_subsumption_resolution,[],[f4260,f113]) ).
fof(f4297,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(sK24,X0) )
| spl34_5
| ~ spl34_23
| ~ spl34_24 ),
inference(forward_subsumption_resolution,[],[f4279,f194]) ).
fof(f4298,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK24,X0)
| p1(sK28(sK7(sK24))) )
| spl34_5
| ~ spl34_23
| ~ spl34_24 ),
inference(forward_subsumption_resolution,[],[f4280,f194]) ).
fof(f4300,plain,
( spl34_521
| spl34_522
| spl34_5
| ~ spl34_23
| ~ spl34_24 ),
inference(avatar_split_clause,[],[f4298,f197,f193,f112,f4128,f4124]) ).
fof(f4301,plain,
( p1(sK7(sK24))
| ~ r1(sK24,sK7(sK24))
| ~ spl34_521 ),
inference(resolution,[],[f4126,f60]) ).
fof(f4302,plain,
( ~ r1(sK24,sK7(sK24))
| spl34_96
| ~ spl34_521 ),
inference(forward_subsumption_resolution,[],[f4301,f807]) ).
fof(f4303,plain,
( $false
| ~ spl34_24
| spl34_96
| ~ spl34_521 ),
inference(forward_subsumption_resolution,[],[f4302,f199]) ).
fof(f4304,plain,
( ~ spl34_24
| spl34_96
| ~ spl34_521 ),
inference(avatar_contradiction_clause,[],[f4303]) ).
fof(f4396,plain,
( ~ r1(sK24,sK26)
| p1(sK6(sK26))
| ~ spl34_522 ),
inference(resolution,[],[f4129,f63]) ).
fof(f4407,plain,
( ~ r1(sK24,sK26)
| spl34_5
| ~ spl34_23
| ~ spl34_24
| ~ spl34_522 ),
inference(forward_subsumption_resolution,[],[f4396,f4297]) ).
fof(f4514,plain,
( $false
| spl34_5
| ~ spl34_23
| ~ spl34_24
| ~ spl34_522 ),
inference(forward_subsumption_resolution,[],[f4407,f64]) ).
fof(f4515,plain,
( spl34_5
| ~ spl34_23
| ~ spl34_24
| ~ spl34_522 ),
inference(avatar_contradiction_clause,[],[f4514]) ).
cnf(s10,plain,
( spl34_5
| ~ spl34_23
| spl34_24
| spl34_26 ),
inference(sat_conversion,[],[f209]) ).
cnf(s26,plain,
( ~ spl34_5
| ~ spl34_56
| spl34_57
| spl34_59
| spl34_60 ),
inference(sat_conversion,[],[f401]) ).
cnf(s43,plain,
spl34_56,
inference(sat_conversion,[],[f756]) ).
cnf(s46,plain,
spl34_23,
inference(sat_conversion,[],[f791]) ).
cnf(s55,plain,
( ~ spl34_26
| spl34_106 ),
inference(sat_conversion,[],[f894]) ).
cnf(s88,plain,
( spl34_140
| spl34_163 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s90,plain,
~ spl34_59,
inference(sat_conversion,[],[f1327]) ).
cnf(s92,plain,
( ~ spl34_5
| ~ spl34_56
| spl34_57
| spl34_59
| spl34_167 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s163,plain,
( spl34_264
| spl34_265
| spl34_269 ),
inference(sat_conversion,[],[f1983]) ).
cnf(s212,plain,
( spl34_5
| ~ spl34_23
| ~ spl34_24
| ~ spl34_96 ),
inference(sat_conversion,[],[f2401]) ).
cnf(s225,plain,
( ~ spl34_57
| ~ spl34_269 ),
inference(sat_conversion,[],[f2485]) ).
cnf(s232,plain,
( ~ spl34_264
| spl34_269
| spl34_356
| spl34_357 ),
inference(sat_conversion,[],[f2565]) ).
cnf(s233,plain,
( spl34_265
| ~ spl34_356
| ~ spl34_358 ),
inference(sat_conversion,[],[f2571]) ).
cnf(s234,plain,
( spl34_269
| spl34_358 ),
inference(sat_conversion,[],[f2585]) ).
cnf(s235,plain,
( ~ spl34_265
| spl34_269
| spl34_357 ),
inference(sat_conversion,[],[f2600]) ).
cnf(s236,plain,
~ spl34_357,
inference(sat_conversion,[],[f2627]) ).
cnf(s263,plain,
( ~ spl34_5
| ~ spl34_56
| spl34_57
| spl34_59
| ~ spl34_335 ),
inference(sat_conversion,[],[f2883]) ).
cnf(s360,plain,
( ~ spl34_60
| ~ spl34_140
| spl34_342 ),
inference(sat_conversion,[],[f3769]) ).
cnf(s361,plain,
( ~ spl34_167
| spl34_335
| ~ spl34_342 ),
inference(sat_conversion,[],[f3777]) ).
cnf(s367,plain,
( ~ spl34_163
| spl34_501 ),
inference(sat_conversion,[],[f3822]) ).
cnf(s369,plain,
( spl34_140
| ~ spl34_501
| spl34_506 ),
inference(sat_conversion,[],[f3835]) ).
cnf(s370,plain,
~ spl34_506,
inference(sat_conversion,[],[f3870]) ).
cnf(s389,plain,
( spl34_5
| ~ spl34_23
| spl34_24
| ~ spl34_106 ),
inference(sat_conversion,[],[f4258]) ).
cnf(s395,plain,
( spl34_5
| ~ spl34_23
| ~ spl34_24
| spl34_521
| spl34_522 ),
inference(sat_conversion,[],[f4300]) ).
cnf(s396,plain,
( ~ spl34_24
| spl34_96
| ~ spl34_521 ),
inference(sat_conversion,[],[f4304]) ).
cnf(s438,plain,
( spl34_5
| ~ spl34_23
| ~ spl34_24
| ~ spl34_522 ),
inference(sat_conversion,[],[f4515]) ).
cnf(s442,plain,
( spl34_140
| ~ spl34_501 ),
inference(rat,[],[s369,s370]) ).
cnf(s443,plain,
( ~ spl34_265
| spl34_269 ),
inference(rat,[],[s235,s236]) ).
cnf(s444,plain,
( ~ spl34_264
| spl34_269
| spl34_356 ),
inference(rat,[],[s232,s236]) ).
cnf(s456,plain,
( ~ spl34_5
| spl34_57
| spl34_60 ),
inference(rat,[],[s26,s90,s43]) ).
cnf(s460,plain,
( spl34_5
| spl34_24
| spl34_26 ),
inference(rat,[],[s10,s46]) ).
cnf(s462,plain,
( spl34_24
| spl34_5 ),
inference(rat,[],[s55,s460,s389,s46]) ).
cnf(s463,plain,
( ~ spl34_24
| spl34_522
| spl34_5 ),
inference(rat,[],[s396,s212,s395,s46]) ).
cnf(s464,plain,
( ~ spl34_24
| spl34_5 ),
inference(rat,[],[s463,s438,s46]) ).
cnf(s465,plain,
spl34_5,
inference(rat,[],[s464,s462]) ).
cnf(s466,plain,
spl34_140,
inference(rat,[],[s367,s88,s442]) ).
cnf(s467,plain,
spl34_57,
inference(rat,[],[s360,s361,s456,s92,s263,s466,s465,s43,s90]) ).
cnf(s468,plain,
~ spl34_269,
inference(rat,[],[s225,s467]) ).
cnf(s469,plain,
~ spl34_265,
inference(rat,[],[s443,s468]) ).
cnf(s470,plain,
spl34_358,
inference(rat,[],[s234,s468]) ).
cnf(s474,plain,
~ spl34_356,
inference(rat,[],[s233,s470,s469]) ).
cnf(s475,plain,
spl34_264,
inference(rat,[],[s163,s468,s469]) ).
cnf(s477,plain,
$false,
inference(rat,[],[s444,s468,s474,s475]) ).
fof(f4520,plain,
$false,
inference(avatar_sat_refutation,[],[s477]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL658+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 16:23:26 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.07/1.92 % (759830)Detected formulas, will run a generic FOF schedule.
% 6.07/1.92 % (759840)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=443825039:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.07/1.92 % (759841)dis-21_1_sil=8000:lcm=predicate:random_seed=4152177278: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)
% 6.07/1.92 % (759839)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1530371748:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.07/1.92 % (759835)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=2533670011:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.07/1.92 % (759838)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3746892589:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.07/1.92 % (759836)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=3801532666:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.07/1.92 % (759837)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=1847316291:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.07/1.92 % (759839)Instruction limit reached!
% 6.07/1.92 % (759839)------------------------------
% 6.07/1.92 % (759839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759839)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759839)Termination reason: Instruction limit
% 6.07/1.92 % (759839)Termination phase: Saturation
% 6.07/1.92 % (759839)Time elapsed: 0.055 s
% 6.07/1.92 % (759839)Peak memory usage: 88 MB
% 6.07/1.92 % (759839)Instructions burned: 120 (million)
% 6.07/1.92 % (759841)Instruction limit reached!
% 6.07/1.92 % (759841)------------------------------
% 6.07/1.92 % (759841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759841)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759841)Termination reason: Instruction limit
% 6.07/1.92 % (759841)Termination phase: Saturation
% 6.07/1.92 % (759841)Time elapsed: 0.056 s
% 6.07/1.92 % (759841)Peak memory usage: 88 MB
% 6.07/1.92 % (759841)Instructions burned: 129 (million)
% 6.07/1.92 % (759838)Instruction limit reached!
% 6.07/1.92 % (759838)------------------------------
% 6.07/1.92 % (759838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759838)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759838)Termination reason: Instruction limit
% 6.07/1.92 % (759838)Termination phase: Saturation
% 6.07/1.92 % (759838)Time elapsed: 0.062 s
% 6.07/1.92 % (759838)Peak memory usage: 91 MB
% 6.07/1.92 % (759838)Instructions burned: 110 (million)
% 6.07/1.92 % (759840)Instruction limit reached!
% 6.07/1.92 % (759840)------------------------------
% 6.07/1.92 % (759840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759840)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759840)Termination reason: Instruction limit
% 6.07/1.92 % (759840)Termination phase: Saturation
% 6.07/1.92 % (759840)Time elapsed: 0.069 s
% 6.07/1.92 % (759840)Peak memory usage: 89 MB
% 6.07/1.92 % (759840)Instructions burned: 139 (million)
% 6.07/1.92 % (759850)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2754335263:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 6.07/1.92 % (759849)lrs+10_1_sil=8000:sp=occurrence:random_seed=1103498124:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.07/1.92 % (759850)Instruction limit reached!
% 6.07/1.92 % (759850)------------------------------
% 6.07/1.92 % (759850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759850)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759850)Termination reason: Instruction limit
% 6.07/1.92 % (759850)Termination phase: Saturation
% 6.07/1.92 % (759850)Time elapsed: 0.036 s
% 6.07/1.92 % (759850)Peak memory usage: 88 MB
% 6.07/1.92 % (759850)Instructions burned: 160 (million)
% 6.07/1.92 % (759852)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=934323390:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.07/1.92 % (759851)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4260165815:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 6.07/1.92 % (759855)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3040949972:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.07/1.92 % (759852)Instruction limit reached!
% 6.07/1.92 % (759852)------------------------------
% 6.07/1.92 % (759852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759852)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759852)Termination reason: Instruction limit
% 6.07/1.92 % (759852)Termination phase: Saturation
% 6.07/1.92 % (759852)Time elapsed: 0.110 s
% 6.07/1.92 % (759852)Peak memory usage: 89 MB
% 6.07/1.92 % (759852)Instructions burned: 248 (million)
% 6.07/1.92 % (759851)Instruction limit reached!
% 6.07/1.92 % (759851)------------------------------
% 6.07/1.92 % (759851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759851)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759851)Termination reason: Instruction limit
% 6.07/1.92 % (759851)Termination phase: Saturation
% 6.07/1.92 % (759851)Time elapsed: 0.133 s
% 6.07/1.92 % (759851)Peak memory usage: 90 MB
% 6.07/1.92 % (759851)Instructions burned: 326 (million)
% 6.07/1.92 % (759849)Instruction limit reached!
% 6.07/1.92 % (759849)------------------------------
% 6.07/1.92 % (759849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759849)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759849)Termination reason: Instruction limit
% 6.07/1.92 % (759849)Termination phase: Saturation
% 6.07/1.92 % (759849)Time elapsed: 0.155 s
% 6.07/1.92 % (759849)Peak memory usage: 91 MB
% 6.07/1.92 % (759849)Instructions burned: 287 (million)
% 6.07/1.92 % (759855)Instruction limit reached!
% 6.07/1.92 % (759855)------------------------------
% 6.07/1.92 % (759855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759855)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759855)Termination reason: Instruction limit
% 6.07/1.92 % (759855)Termination phase: Saturation
% 6.07/1.92 % (759855)Time elapsed: 0.078 s
% 6.07/1.92 % (759855)Peak memory usage: 89 MB
% 6.07/1.92 % (759855)Instructions burned: 297 (million)
% 6.07/1.92 % (759859)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=882495720:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.07/1.92 % (759862)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4099342176:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 6.07/1.92 % (759861)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1116976695:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 6.07/1.92 % (759860)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1440054195:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.07/1.92 % (759862)Instruction limit reached!
% 6.07/1.92 % (759862)------------------------------
% 6.07/1.92 % (759862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759862)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759862)Termination reason: Instruction limit
% 6.07/1.92 % (759862)Termination phase: Saturation
% 6.07/1.92 % (759862)Time elapsed: 0.029 s
% 6.07/1.92 % (759862)Peak memory usage: 89 MB
% 6.07/1.92 % (759862)Instructions burned: 115 (million)
% 6.07/1.92 % (759860)Instruction limit reached!
% 6.07/1.92 % (759860)------------------------------
% 6.07/1.92 % (759860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759860)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759860)Termination reason: Instruction limit
% 6.07/1.92 % (759860)Termination phase: Saturation
% 6.07/1.92 % (759860)Time elapsed: 0.065 s
% 6.07/1.92 % (759860)Peak memory usage: 90 MB
% 6.07/1.92 % (759860)Instructions burned: 115 (million)
% 6.07/1.92 % (759861)Instruction limit reached!
% 6.07/1.92 % (759861)------------------------------
% 6.07/1.92 % (759861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759861)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759861)Termination reason: Instruction limit
% 6.07/1.92 % (759861)Termination phase: Saturation
% 6.07/1.92 % (759861)Time elapsed: 0.074 s
% 6.07/1.92 % (759861)Peak memory usage: 89 MB
% 6.07/1.92 % (759861)Instructions burned: 129 (million)
% 6.07/1.92 % (759867)lrs+10_1_sil=8000:sp=occurrence:random_seed=3665468259:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.07/1.92 % (759868)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3672526284:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.07/1.92 % (759869)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2841461077:i=5202:ss=axioms:sgt=16_2993 on theBenchmark for (2993ds/5202Mi)
% 6.07/1.92 % (759867)Instruction limit reached!
% 6.07/1.92 % (759867)------------------------------
% 6.07/1.92 % (759867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759867)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759867)Termination reason: Instruction limit
% 6.07/1.92 % (759867)Termination phase: Saturation
% 6.07/1.92 % (759867)Time elapsed: 0.250 s
% 6.07/1.92 % (759867)Peak memory usage: 94 MB
% 6.07/1.92 % (759867)Instructions burned: 912 (million)
% 6.07/1.92 % (759868)Instruction limit reached!
% 6.07/1.92 % (759868)------------------------------
% 6.07/1.92 % (759868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759868)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759868)Termination reason: Instruction limit
% 6.07/1.92 % (759868)Termination phase: Saturation
% 6.07/1.92 % (759868)Time elapsed: 0.196 s
% 6.07/1.92 % (759868)Peak memory usage: 90 MB
% 6.07/1.92 % (759868)Instructions burned: 439 (million)
% 6.07/1.92 % (759835)First to succeed.
% 6.07/1.92 % (759835)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-759830"
% 6.07/1.92 % (759873)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2216566955:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.07/1.92 % (759873)Instruction limit reached!
% 6.07/1.92 % (759873)------------------------------
% 6.07/1.92 % (759873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.92 % (759873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.92 % (759873)CaDiCaL version: 2.1.3
% 6.07/1.92 % (759873)Termination reason: Instruction limit
% 6.07/1.92 % (759873)Termination phase: Saturation
% 6.07/1.92 % (759873)Time elapsed: 0.031 s
% 6.07/1.92 % (759873)Peak memory usage: 89 MB
% 6.07/1.92 % (759873)Instructions burned: 137 (million)
% 6.07/1.92 % (759874)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3956425255:st=8:i=592:sd=3:ep=RST:ss=axioms_2990 on theBenchmark for (2990ds/592Mi)
% 6.07/1.92 % (759876)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4219471846:st=3:i=13193:sd=3:ss=axioms_2989 on theBenchmark for (2989ds/13193Mi)
% 6.07/1.92 % (759835)Refutation found. Thanks to Tanya!
% 6.07/1.92 % SZS status Theorem for theBenchmark
% 6.07/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 9.52/2.10 % (759835)------------------------------
% 9.52/2.10 % (759835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.10 % (759835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.10 % (759835)CaDiCaL version: 2.1.3
% 9.52/2.10 % (759835)Termination reason: Refutation
% 9.52/2.10 % (759835)Time elapsed: 0.903 s
% 9.52/2.10 % (759835)Peak memory usage: 133 MB
% 9.52/2.10 % (759835)Instructions burned: 1326 (million)
% 9.52/2.10 % (759835)------------------------------
% 9.52/2.10 % (759835)------------------------------
% 9.52/2.10 % (759830)Success in time 1.294 s
% 9.52/2.10 % Vampire exiting
%------------------------------------------------------------------------------