%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL670+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:55:40 AM UTC 2026
% Result : Theorem 62.23s 9.77s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 11
% Syntax : Number of formulae : 116 ( 23 unt; 9 def)
% Number of atoms : 1548 ( 0 equ)
% Maximal formula atoms : 129 ( 13 avg)
% Number of connectives : 2695 (1263 ~;1052 |; 373 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 8 prp; 0-2 aty)
% Number of functors : 39 ( 39 usr; 21 con; 0-1 aty)
% Number of variables : 941 ( 0 sgn 772 !; 169 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(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)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ~ ! [X5] :
( ~ r1(X4,X5)
| ~ ( ~ ! [X6] :
( ~ r1(X5,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p3(X9) )
| ~ p2(X8) ) )
| ~ ! [X10] :
( ~ r1(X6,X10)
| ~ ( ~ ! [X11] :
( ~ r1(X10,X11)
| ~ ( ! [X12] :
( ~ r1(X11,X12)
| p3(X12) )
| ~ p2(X11) ) )
& p2(X10)
& ~ ! [X13] :
( ~ r1(X10,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ~ p2(X15) ) ) ) ) )
| ( ~ ! [X16] :
( ~ r1(X6,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p3(X19) )
| ~ p2(X18) ) ) )
& ! [X20] :
( ~ r1(X6,X20)
| ~ ! [X21] :
( ~ r1(X20,X21)
| ~ p2(X21) ) ) ) ) )
| ~ ! [X22] :
( ~ r1(X5,X22)
| ~ ( ~ ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
& ! [X25] :
( ~ r1(X22,X25)
| p1(X25) ) ) ) ) )
| ~ ! [X26] :
( ~ r1(X4,X26)
| ~ ( ~ ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& ! [X29] :
( ~ r1(X26,X29)
| p1(X29) ) ) ) ) )
| ~ ! [X30] :
( ~ r1(X3,X30)
| ~ ( ~ ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
& ! [X33] :
( ~ r1(X30,X33)
| p1(X33) ) ) ) ) )
| ~ ! [X34] :
( ~ r1(X2,X34)
| ~ ( ~ ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) ) )
& ! [X37] :
( ~ r1(X34,X37)
| p1(X37) ) ) ) ) )
| ~ ! [X38] :
( ~ r1(X0,X38)
| ~ ( ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) ) )
& ! [X41] :
( ~ r1(X38,X41)
| p1(X41) ) ) )
| ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) )
| ! [X45] :
( ~ r1(X42,X45)
| p1(X45) ) )
| ! [X46] :
( ~ r1(X0,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ~ ! [X49] :
( ~ r1(X48,X49)
| p1(X49) ) )
| ! [X50] :
( ~ r1(X47,X50)
| p1(X50) ) )
| ! [X51] :
( ~ r1(X46,X51)
| ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| p1(X54) ) )
| ! [X55] :
( ~ r1(X52,X55)
| p1(X55) ) )
| ! [X56] :
( ~ r1(X51,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| ~ ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ! [X60] :
( ~ r1(X57,X60)
| p1(X60) ) )
| ! [X61] :
( ~ r1(X56,X61)
| ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ~ r1(X62,X63)
| ~ ! [X64] :
( ~ r1(X63,X64)
| p1(X64) ) )
| ! [X65] :
( ~ r1(X62,X65)
| p1(X65) ) )
| ! [X66] :
( ~ r1(X61,X66)
| ~ ! [X67] :
( ~ r1(X66,X67)
| ~ ! [X68] :
( ~ r1(X67,X68)
| p2(X68) ) ) )
| ~ ! [X69] :
( ~ r1(X61,X69)
| ! [X70] :
( ~ r1(X69,X70)
| ! [X71] :
( ~ r1(X70,X71)
| ~ p1(X71) ) )
| ~ ! [X72] :
( ~ r1(X69,X72)
| ~ p1(X72) ) ) )
| ~ ! [X73] :
( ~ r1(X56,X73)
| ! [X74] :
( ~ r1(X73,X74)
| ! [X75] :
( ~ r1(X74,X75)
| ~ p1(X75) ) )
| ~ ! [X76] :
( ~ r1(X73,X76)
| ~ p1(X76) ) ) )
| ~ ! [X77] :
( ~ r1(X51,X77)
| ! [X78] :
( ~ r1(X77,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ~ p1(X79) ) )
| ~ ! [X80] :
( ~ r1(X77,X80)
| ~ p1(X80) ) ) )
| ~ ! [X81] :
( ~ r1(X46,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,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ~ ! [X5] :
( ~ r1(X4,X5)
| ~ ( ~ ! [X6] :
( ~ r1(X5,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p3(X9) )
| ~ p2(X8) ) )
| ~ ! [X10] :
( ~ r1(X6,X10)
| ~ ( ~ ! [X11] :
( ~ r1(X10,X11)
| ~ ( ! [X12] :
( ~ r1(X11,X12)
| p3(X12) )
| ~ p2(X11) ) )
& p2(X10)
& ~ ! [X13] :
( ~ r1(X10,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ~ p2(X15) ) ) ) ) )
| ( ~ ! [X16] :
( ~ r1(X6,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p3(X19) )
| ~ p2(X18) ) ) )
& ! [X20] :
( ~ r1(X6,X20)
| ~ ! [X21] :
( ~ r1(X20,X21)
| ~ p2(X21) ) ) ) ) )
| ~ ! [X22] :
( ~ r1(X5,X22)
| ~ ( ~ ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
& ! [X25] :
( ~ r1(X22,X25)
| p1(X25) ) ) ) ) )
| ~ ! [X26] :
( ~ r1(X4,X26)
| ~ ( ~ ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& ! [X29] :
( ~ r1(X26,X29)
| p1(X29) ) ) ) ) )
| ~ ! [X30] :
( ~ r1(X3,X30)
| ~ ( ~ ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
& ! [X33] :
( ~ r1(X30,X33)
| p1(X33) ) ) ) ) )
| ~ ! [X34] :
( ~ r1(X2,X34)
| ~ ( ~ ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) ) )
& ! [X37] :
( ~ r1(X34,X37)
| p1(X37) ) ) ) ) )
| ~ ! [X38] :
( ~ r1(X0,X38)
| ~ ( ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) ) )
& ! [X41] :
( ~ r1(X38,X41)
| p1(X41) ) ) )
| ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) )
| ! [X45] :
( ~ r1(X42,X45)
| p1(X45) ) )
| ! [X46] :
( ~ r1(X0,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ~ ! [X49] :
( ~ r1(X48,X49)
| p1(X49) ) )
| ! [X50] :
( ~ r1(X47,X50)
| p1(X50) ) )
| ! [X51] :
( ~ r1(X46,X51)
| ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| p1(X54) ) )
| ! [X55] :
( ~ r1(X52,X55)
| p1(X55) ) )
| ! [X56] :
( ~ r1(X51,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| ~ ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ! [X60] :
( ~ r1(X57,X60)
| p1(X60) ) )
| ! [X61] :
( ~ r1(X56,X61)
| ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ~ r1(X62,X63)
| ~ ! [X64] :
( ~ r1(X63,X64)
| p1(X64) ) )
| ! [X65] :
( ~ r1(X62,X65)
| p1(X65) ) )
| ! [X66] :
( ~ r1(X61,X66)
| ~ ! [X67] :
( ~ r1(X66,X67)
| ~ ! [X68] :
( ~ r1(X67,X68)
| p2(X68) ) ) )
| ~ ! [X69] :
( ~ r1(X61,X69)
| ! [X70] :
( ~ r1(X69,X70)
| ! [X71] :
( ~ r1(X70,X71)
| ~ p1(X71) ) )
| ~ ! [X72] :
( ~ r1(X69,X72)
| ~ p1(X72) ) ) )
| ~ ! [X73] :
( ~ r1(X56,X73)
| ! [X74] :
( ~ r1(X73,X74)
| ! [X75] :
( ~ r1(X74,X75)
| ~ p1(X75) ) )
| ~ ! [X76] :
( ~ r1(X73,X76)
| ~ p1(X76) ) ) )
| ~ ! [X77] :
( ~ r1(X51,X77)
| ! [X78] :
( ~ r1(X77,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ~ p1(X79) ) )
| ~ ! [X80] :
( ~ r1(X77,X80)
| ~ p1(X80) ) ) )
| ~ ! [X81] :
( ~ r1(X46,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(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
& ! [X2] :
( ~ r1(X0,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)
& ~ p3(X9) )
& p2(X8) ) )
& ! [X10] :
( ~ r1(X6,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ( ? [X12] :
( r1(X11,X12)
& ~ p3(X12) )
& p2(X11) ) )
| ~ p2(X10)
| ! [X13] :
( ~ r1(X10,X13)
| ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| ~ p2(X15) ) ) ) )
& ( ! [X16] :
( ~ r1(X6,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p3(X19) )
& p2(X18) ) ) )
| ? [X20] :
( r1(X6,X20)
& ! [X21] :
( ~ r1(X20,X21)
| ~ p2(X21) ) ) ) ) )
& ! [X22] :
( ~ r1(X5,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
| ? [X25] :
( r1(X22,X25)
& ~ p1(X25) ) ) ) )
& ! [X26] :
( ~ r1(X4,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) ) ) )
& ! [X30] :
( ~ r1(X3,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) )
& ! [X34] :
( ~ r1(X2,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) ) )
| ? [X37] :
( r1(X34,X37)
& ~ p1(X37) ) ) ) )
& ! [X38] :
( ~ r1(X0,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) ) )
| ? [X41] :
( r1(X38,X41)
& ~ p1(X41) ) )
& ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) )
& ? [X45] :
( r1(X42,X45)
& ~ p1(X45) ) )
& ? [X46] :
( r1(X0,X46)
& ? [X47] :
( r1(X46,X47)
& ? [X48] :
( r1(X47,X48)
& ! [X49] :
( ~ r1(X48,X49)
| p1(X49) ) )
& ? [X50] :
( r1(X47,X50)
& ~ p1(X50) ) )
& ? [X51] :
( r1(X46,X51)
& ? [X52] :
( r1(X51,X52)
& ? [X53] :
( r1(X52,X53)
& ! [X54] :
( ~ r1(X53,X54)
| p1(X54) ) )
& ? [X55] :
( r1(X52,X55)
& ~ p1(X55) ) )
& ? [X56] :
( r1(X51,X56)
& ? [X57] :
( r1(X56,X57)
& ? [X58] :
( r1(X57,X58)
& ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
& ? [X60] :
( r1(X57,X60)
& ~ p1(X60) ) )
& ? [X61] :
( r1(X56,X61)
& ? [X62] :
( r1(X61,X62)
& ? [X63] :
( r1(X62,X63)
& ! [X64] :
( ~ r1(X63,X64)
| p1(X64) ) )
& ? [X65] :
( r1(X62,X65)
& ~ p1(X65) ) )
& ? [X66] :
( r1(X61,X66)
& ! [X67] :
( ~ r1(X66,X67)
| ? [X68] :
( r1(X67,X68)
& ~ p2(X68) ) ) )
& ! [X69] :
( ~ r1(X61,X69)
| ! [X70] :
( ~ r1(X69,X70)
| ! [X71] :
( ~ r1(X70,X71)
| ~ p1(X71) ) )
| ? [X72] :
( r1(X69,X72)
& p1(X72) ) ) )
& ! [X73] :
( ~ r1(X56,X73)
| ! [X74] :
( ~ r1(X73,X74)
| ! [X75] :
( ~ r1(X74,X75)
| ~ p1(X75) ) )
| ? [X76] :
( r1(X73,X76)
& p1(X76) ) ) )
& ! [X77] :
( ~ r1(X51,X77)
| ! [X78] :
( ~ r1(X77,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ~ p1(X79) ) )
| ? [X80] :
( r1(X77,X80)
& p1(X80) ) ) )
& ! [X81] :
( ~ r1(X46,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(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
& ! [X2] :
( ~ r1(X0,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)
& ~ p3(X9) )
& p2(X8) ) )
& ! [X10] :
( ~ r1(X6,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ( ? [X12] :
( r1(X11,X12)
& ~ p3(X12) )
& p2(X11) ) )
| ~ p2(X10)
| ! [X13] :
( ~ r1(X10,X13)
| ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| ~ p2(X15) ) ) ) )
& ( ! [X16] :
( ~ r1(X6,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p3(X19) )
& p2(X18) ) ) )
| ? [X20] :
( r1(X6,X20)
& ! [X21] :
( ~ r1(X20,X21)
| ~ p2(X21) ) ) ) ) )
& ! [X22] :
( ~ r1(X5,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
| ? [X25] :
( r1(X22,X25)
& ~ p1(X25) ) ) ) )
& ! [X26] :
( ~ r1(X4,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) ) ) )
& ! [X30] :
( ~ r1(X3,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) )
& ! [X34] :
( ~ r1(X2,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) ) )
| ? [X37] :
( r1(X34,X37)
& ~ p1(X37) ) ) ) )
& ! [X38] :
( ~ r1(X0,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) ) )
| ? [X41] :
( r1(X38,X41)
& ~ p1(X41) ) )
& ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) )
& ? [X45] :
( r1(X42,X45)
& ~ p1(X45) ) )
& ? [X46] :
( r1(X0,X46)
& ? [X47] :
( r1(X46,X47)
& ? [X48] :
( r1(X47,X48)
& ! [X49] :
( ~ r1(X48,X49)
| p1(X49) ) )
& ? [X50] :
( r1(X47,X50)
& ~ p1(X50) ) )
& ? [X51] :
( r1(X46,X51)
& ? [X52] :
( r1(X51,X52)
& ? [X53] :
( r1(X52,X53)
& ! [X54] :
( ~ r1(X53,X54)
| p1(X54) ) )
& ? [X55] :
( r1(X52,X55)
& ~ p1(X55) ) )
& ? [X56] :
( r1(X51,X56)
& ? [X57] :
( r1(X56,X57)
& ? [X58] :
( r1(X57,X58)
& ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
& ? [X60] :
( r1(X57,X60)
& ~ p1(X60) ) )
& ? [X61] :
( r1(X56,X61)
& ? [X62] :
( r1(X61,X62)
& ? [X63] :
( r1(X62,X63)
& ! [X64] :
( ~ r1(X63,X64)
| p1(X64) ) )
& ? [X65] :
( r1(X62,X65)
& ~ p1(X65) ) )
& ? [X66] :
( r1(X61,X66)
& ! [X67] :
( ~ r1(X66,X67)
| ? [X68] :
( r1(X67,X68)
& ~ p2(X68) ) ) )
& ! [X69] :
( ~ r1(X61,X69)
| ! [X70] :
( ~ r1(X69,X70)
| ! [X71] :
( ~ r1(X70,X71)
| ~ p1(X71) ) )
| ? [X72] :
( r1(X69,X72)
& p1(X72) ) ) )
& ! [X73] :
( ~ r1(X56,X73)
| ! [X74] :
( ~ r1(X73,X74)
| ! [X75] :
( ~ r1(X74,X75)
| ~ p1(X75) ) )
| ? [X76] :
( r1(X73,X76)
& p1(X76) ) ) )
& ! [X77] :
( ~ r1(X51,X77)
| ! [X78] :
( ~ r1(X77,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ~ p1(X79) ) )
| ? [X80] :
( r1(X77,X80)
& p1(X80) ) ) )
& ! [X81] :
( ~ r1(X46,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(flattening,[],[f6]) ).
fof(f8,definition,
! [X6] :
( ! [X16] :
( ~ r1(X6,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p3(X19) )
& p2(X18) ) ) )
| ? [X20] :
( r1(X6,X20)
& ! [X21] :
( ~ r1(X20,X21)
| ~ p2(X21) ) )
| ~ sP0(X6) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [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)
& ~ p3(X9) )
& p2(X8) ) )
& ! [X10] :
( ~ r1(X6,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ( ? [X12] :
( r1(X11,X12)
& ~ p3(X12) )
& p2(X11) ) )
| ~ p2(X10)
| ! [X13] :
( ~ r1(X10,X13)
| ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| ~ p2(X15) ) ) ) )
& sP0(X6) ) )
& ! [X22] :
( ~ r1(X5,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
| ? [X25] :
( r1(X22,X25)
& ~ p1(X25) ) ) ) )
& ! [X26] :
( ~ r1(X4,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) ) ) )
| ~ sP1(X3) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| ( ! [X3] :
( ~ r1(X2,X3)
| ( sP1(X3)
& ! [X30] :
( ~ r1(X3,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p1(X32) ) )
| ? [X33] :
( r1(X30,X33)
& ~ p1(X33) ) ) ) )
& ! [X34] :
( ~ r1(X2,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) ) )
| ? [X37] :
( r1(X34,X37)
& ~ p1(X37) ) ) ) )
& ! [X38] :
( ~ r1(X0,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) ) )
| ? [X41] :
( r1(X38,X41)
& ~ p1(X41) ) )
& ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ! [X44] :
( ~ r1(X43,X44)
| p1(X44) ) )
& ? [X45] :
( r1(X42,X45)
& ~ p1(X45) ) )
& ? [X46] :
( r1(X0,X46)
& ? [X47] :
( r1(X46,X47)
& ? [X48] :
( r1(X47,X48)
& ! [X49] :
( ~ r1(X48,X49)
| p1(X49) ) )
& ? [X50] :
( r1(X47,X50)
& ~ p1(X50) ) )
& ? [X51] :
( r1(X46,X51)
& ? [X52] :
( r1(X51,X52)
& ? [X53] :
( r1(X52,X53)
& ! [X54] :
( ~ r1(X53,X54)
| p1(X54) ) )
& ? [X55] :
( r1(X52,X55)
& ~ p1(X55) ) )
& ? [X56] :
( r1(X51,X56)
& ? [X57] :
( r1(X56,X57)
& ? [X58] :
( r1(X57,X58)
& ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
& ? [X60] :
( r1(X57,X60)
& ~ p1(X60) ) )
& ? [X61] :
( r1(X56,X61)
& ? [X62] :
( r1(X61,X62)
& ? [X63] :
( r1(X62,X63)
& ! [X64] :
( ~ r1(X63,X64)
| p1(X64) ) )
& ? [X65] :
( r1(X62,X65)
& ~ p1(X65) ) )
& ? [X66] :
( r1(X61,X66)
& ! [X67] :
( ~ r1(X66,X67)
| ? [X68] :
( r1(X67,X68)
& ~ p2(X68) ) ) )
& ! [X69] :
( ~ r1(X61,X69)
| ! [X70] :
( ~ r1(X69,X70)
| ! [X71] :
( ~ r1(X70,X71)
| ~ p1(X71) ) )
| ? [X72] :
( r1(X69,X72)
& p1(X72) ) ) )
& ! [X73] :
( ~ r1(X56,X73)
| ! [X74] :
( ~ r1(X73,X74)
| ! [X75] :
( ~ r1(X74,X75)
| ~ p1(X75) ) )
| ? [X76] :
( r1(X73,X76)
& p1(X76) ) ) )
& ! [X77] :
( ~ r1(X51,X77)
| ! [X78] :
( ~ r1(X77,X78)
| ! [X79] :
( ~ r1(X78,X79)
| ~ p1(X79) ) )
| ? [X80] :
( r1(X77,X80)
& p1(X80) ) ) )
& ! [X81] :
( ~ r1(X46,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(definition_folding,[],[f7,f9,f8]) ).
fof(f11,plain,
! [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)
& ~ p3(X9) )
& p2(X8) ) )
& ! [X10] :
( ~ r1(X6,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ( ? [X12] :
( r1(X11,X12)
& ~ p3(X12) )
& p2(X11) ) )
| ~ p2(X10)
| ! [X13] :
( ~ r1(X10,X13)
| ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| ~ p2(X15) ) ) ) )
& sP0(X6) ) )
& ! [X22] :
( ~ r1(X5,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
| ? [X25] :
( r1(X22,X25)
& ~ p1(X25) ) ) ) )
& ! [X26] :
( ~ r1(X4,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) ) ) )
| ~ sP1(X3) ),
inference(nnf_transformation,[],[f9]) ).
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)
& ~ p3(X6) )
& p2(X5) ) )
& ! [X7] :
( ~ r1(X3,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ( ? [X9] :
( r1(X8,X9)
& ~ p3(X9) )
& p2(X8) ) )
| ~ p2(X7)
| ! [X10] :
( ~ r1(X7,X10)
| ? [X11] :
( r1(X10,X11)
& ! [X12] :
( ~ r1(X11,X12)
| ~ p2(X12) ) ) ) )
& sP0(X3) ) )
& ! [X13] :
( ~ r1(X2,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p1(X15) ) )
| ? [X16] :
( r1(X13,X16)
& ~ p1(X16) ) ) ) )
& ! [X17] :
( ~ r1(X1,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ? [X20] :
( r1(X17,X20)
& ~ p1(X20) ) ) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ( ! [X3] :
( ~ r1(X2,X3)
| ( ! [X4] :
( ~ r1(X3,X4)
| ( r1(X4,sK2(X4))
& r1(sK2(X4),sK3(X4))
& ~ p3(sK3(X4))
& p2(sK2(X4)) ) )
& ! [X7] :
( ~ r1(X3,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ( r1(X8,sK4(X8))
& ~ p3(sK4(X8))
& p2(X8) ) )
| ~ p2(X7)
| ! [X10] :
( ~ r1(X7,X10)
| ( r1(X10,sK5(X10))
& ! [X12] :
( ~ r1(sK5(X10),X12)
| ~ p2(X12) ) ) ) )
& sP0(X3) ) )
& ! [X13] :
( ~ r1(X2,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p1(X15) ) )
| ( r1(X13,sK6(X13))
& ~ p1(sK6(X13)) ) ) ) )
& ! [X17] :
( ~ r1(X1,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) ) )
| ( r1(X17,sK7(X17))
& ~ p1(sK7(X17)) ) ) ) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X5,sK2(X4)),skolemize(X6,sK3(X4)),skolemize(X9,sK4(X8)),skolemize(X11,sK5(X10)),skolemize(X16,sK6(X13)),skolemize(X20,sK7(X17))],[f12]) ).
fof(f14,plain,
! [X6] :
( ! [X16] :
( ~ r1(X6,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p3(X19) )
& p2(X18) ) ) )
| ? [X20] :
( r1(X6,X20)
& ! [X21] :
( ~ r1(X20,X21)
| ~ p2(X21) ) )
| ~ sP0(X6) ),
inference(nnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p2(X3) ) ) )
| ? [X5] :
( r1(X0,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK8(X2))
& r1(sK8(X2),sK9(X2))
& ~ p3(sK9(X2))
& p2(sK8(X2)) ) ) )
| ( r1(X0,sK10(X0))
& ! [X6] :
( ~ r1(sK10(X0),X6)
| ~ p2(X6) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X3,sK8(X2)),skolemize(X4,sK9(X2)),skolemize(X5,sK10(X0))],[f15]) ).
fof(f17,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| ( ! [X3] :
( ~ r1(X2,X3)
| ( sP1(X3)
& ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| p1(X6) ) )
| ? [X7] :
( r1(X4,X7)
& ~ p1(X7) ) ) ) )
& ! [X8] :
( ~ r1(X2,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| ? [X11] :
( r1(X8,X11)
& ~ p1(X11) ) ) ) )
& ! [X12] :
( ~ r1(X0,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p1(X14) ) )
| ? [X15] :
( r1(X12,X15)
& ~ p1(X15) ) )
& ? [X16] :
( r1(X0,X16)
& ? [X17] :
( r1(X16,X17)
& ! [X18] :
( ~ r1(X17,X18)
| p1(X18) ) )
& ? [X19] :
( r1(X16,X19)
& ~ p1(X19) ) )
& ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ? [X22] :
( r1(X21,X22)
& ! [X23] :
( ~ r1(X22,X23)
| p1(X23) ) )
& ? [X24] :
( r1(X21,X24)
& ~ p1(X24) ) )
& ? [X25] :
( r1(X20,X25)
& ? [X26] :
( r1(X25,X26)
& ? [X27] :
( r1(X26,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) )
& ? [X30] :
( r1(X25,X30)
& ? [X31] :
( r1(X30,X31)
& ? [X32] :
( r1(X31,X32)
& ! [X33] :
( ~ r1(X32,X33)
| p1(X33) ) )
& ? [X34] :
( r1(X31,X34)
& ~ p1(X34) ) )
& ? [X35] :
( r1(X30,X35)
& ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ! [X38] :
( ~ r1(X37,X38)
| p1(X38) ) )
& ? [X39] :
( r1(X36,X39)
& ~ p1(X39) ) )
& ? [X40] :
( r1(X35,X40)
& ! [X41] :
( ~ r1(X40,X41)
| ? [X42] :
( r1(X41,X42)
& ~ p2(X42) ) ) )
& ! [X43] :
( ~ r1(X35,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ~ p1(X45) ) )
| ? [X46] :
( r1(X43,X46)
& p1(X46) ) ) )
& ! [X47] :
( ~ r1(X30,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| ~ p1(X49) ) )
| ? [X50] :
( r1(X47,X50)
& p1(X50) ) ) )
& ! [X51] :
( ~ r1(X25,X51)
| ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| ~ p1(X53) ) )
| ? [X54] :
( r1(X51,X54)
& p1(X54) ) ) )
& ! [X55] :
( ~ r1(X20,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ~ p1(X57) ) )
| ? [X58] :
( r1(X55,X58)
& p1(X58) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| ~ p1(X61) ) )
| ? [X62] :
( r1(X59,X62)
& p1(X62) ) ) ),
inference(rectify,[],[f10]) ).
fof(f18,plain,
( ! [X1] :
( ~ r1(sK11,X1)
| ~ p4(X1) )
& ! [X2] :
( ~ r1(sK11,X2)
| ( ! [X3] :
( ~ r1(X2,X3)
| ( sP1(X3)
& ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| p1(X6) ) )
| ( r1(X4,sK12(X4))
& ~ p1(sK12(X4)) ) ) ) )
& ! [X8] :
( ~ r1(X2,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p1(X10) ) )
| ( r1(X8,sK13(X8))
& ~ p1(sK13(X8)) ) ) ) )
& ! [X12] :
( ~ r1(sK11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p1(X14) ) )
| ( r1(X12,sK14(X12))
& ~ p1(sK14(X12)) ) )
& r1(sK11,sK15)
& r1(sK15,sK16)
& ! [X18] :
( ~ r1(sK16,X18)
| p1(X18) )
& r1(sK15,sK17)
& ~ p1(sK17)
& r1(sK11,sK18)
& r1(sK18,sK19)
& r1(sK19,sK20)
& ! [X23] :
( ~ r1(sK20,X23)
| p1(X23) )
& r1(sK19,sK21)
& ~ p1(sK21)
& r1(sK18,sK22)
& r1(sK22,sK23)
& r1(sK23,sK24)
& ! [X28] :
( ~ r1(sK24,X28)
| p1(X28) )
& r1(sK23,sK25)
& ~ p1(sK25)
& r1(sK22,sK26)
& r1(sK26,sK27)
& r1(sK27,sK28)
& ! [X33] :
( ~ r1(sK28,X33)
| p1(X33) )
& r1(sK27,sK29)
& ~ p1(sK29)
& r1(sK26,sK30)
& r1(sK30,sK31)
& r1(sK31,sK32)
& ! [X38] :
( ~ r1(sK32,X38)
| p1(X38) )
& r1(sK31,sK33)
& ~ p1(sK33)
& r1(sK30,sK34)
& ! [X41] :
( ~ r1(sK34,X41)
| ( r1(X41,sK35(X41))
& ~ p2(sK35(X41)) ) )
& ! [X43] :
( ~ r1(sK30,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ~ p1(X45) ) )
| ( r1(X43,sK36(X43))
& p1(sK36(X43)) ) )
& ! [X47] :
( ~ r1(sK26,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| ~ p1(X49) ) )
| ( r1(X47,sK37(X47))
& p1(sK37(X47)) ) )
& ! [X51] :
( ~ r1(sK22,X51)
| ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| ~ p1(X53) ) )
| ( r1(X51,sK38(X51))
& p1(sK38(X51)) ) )
& ! [X55] :
( ~ r1(sK18,X55)
| ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ~ p1(X57) ) )
| ( r1(X55,sK39(X55))
& p1(sK39(X55)) ) )
& ! [X59] :
( ~ r1(sK11,X59)
| ! [X60] :
( ~ r1(X59,X60)
| ! [X61] :
( ~ r1(X60,X61)
| ~ p1(X61) ) )
| ( r1(X59,sK40(X59))
& p1(sK40(X59)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40]),skolemize(X0,sK11),skolemize(X7,sK12(X4)),skolemize(X11,sK13(X8)),skolemize(X15,sK14(X12)),skolemize(X16,sK15),skolemize(X17,sK16),skolemize(X19,sK17),skolemize(X20,sK18),skolemize(X21,sK19),skolemize(X22,sK20),skolemize(X24,sK21),skolemize(X25,sK22),skolemize(X26,sK23),skolemize(X27,sK24),skolemize(X29,sK25),skolemize(X30,sK26),skolemize(X31,sK27),skolemize(X32,sK28),skolemize(X34,sK29),skolemize(X35,sK30),skolemize(X36,sK31),skolemize(X37,sK32),skolemize(X39,sK33),skolemize(X40,sK34),skolemize(X42,sK35(X41)),skolemize(X46,sK36(X43)),skolemize(X50,sK37(X47)),skolemize(X54,sK38(X51)),skolemize(X58,sK39(X55)),skolemize(X62,sK40(X59))],[f17]) ).
fof(f19,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| sP0(X3)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X2,X3,X10,X0,X1,X8,X7,X12] :
( ~ sP1(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X7)
| ~ r1(X7,X8)
| p2(X8)
| ~ p2(X7)
| ~ r1(X7,X10)
| ~ r1(sK5(X10),X12)
| ~ p2(X12)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X2,X3,X10,X0,X1,X8,X7] :
( ~ sP1(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X7)
| ~ r1(X7,X8)
| p2(X8)
| ~ p2(X7)
| ~ r1(X7,X10)
| r1(X10,sK5(X10))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p2(sK2(X4))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| r1(X4,sK2(X4))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f35,plain,
! [X2,X0,X1,X6] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| p2(sK8(X2))
| ~ r1(sK10(X0),X6)
| ~ p2(X6)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| p2(sK8(X2))
| r1(X0,sK10(X0))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f41,plain,
! [X2,X0,X1,X6] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| r1(X2,sK8(X2))
| ~ r1(sK10(X0),X6)
| ~ p2(X6)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| r1(X2,sK8(X2))
| r1(X0,sK10(X0))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f53,plain,
! [X41] :
( ~ p2(sK35(X41))
| ~ r1(sK34,X41) ),
inference(cnf_transformation,[],[f18]) ).
fof(f54,plain,
! [X41] :
( ~ r1(sK34,X41)
| r1(X41,sK35(X41)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f55,plain,
r1(sK30,sK34),
inference(cnf_transformation,[],[f18]) ).
fof(f61,plain,
r1(sK26,sK30),
inference(cnf_transformation,[],[f18]) ).
fof(f67,plain,
r1(sK22,sK26),
inference(cnf_transformation,[],[f18]) ).
fof(f73,plain,
r1(sK18,sK22),
inference(cnf_transformation,[],[f18]) ).
fof(f79,plain,
r1(sK11,sK18),
inference(cnf_transformation,[],[f18]) ).
fof(f91,plain,
! [X2,X3] :
( ~ r1(sK11,X2)
| ~ r1(X2,X3)
| sP1(X3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f93,plain,
! [X0] :
( ~ r1(sK18,X0)
| sP1(X0) ),
inference(resolution,[],[f91,f79]) ).
fof(f102,plain,
sP1(sK22),
inference(resolution,[],[f93,f73]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p2(X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p2(X4)
| ~ r1(X0,X1)
| ~ r1(X3,X5)
| r1(X5,sK5(X5))
| ~ r1(sK22,X0) ),
inference(resolution,[],[f102,f26]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p2(sK2(X3))
| ~ r1(X0,X1) ),
inference(resolution,[],[f102,f31]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p2(X6)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3)
| ~ r1(X3,X5)
| ~ r1(sK5(X5),X6)
| ~ r1(X0,X1)
| ~ r1(sK22,X0) ),
inference(resolution,[],[f102,f25]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X1,X2)
| sP0(X2)
| ~ r1(X0,X1) ),
inference(resolution,[],[f102,f24]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| r1(X3,sK2(X3))
| ~ r1(X0,X1) ),
inference(resolution,[],[f34,f102]) ).
fof(f161,plain,
! [X0,X1] :
( ~ r1(sK26,X0)
| sP0(X1)
| ~ r1(X0,X1) ),
inference(resolution,[],[f108,f67]) ).
fof(f190,plain,
! [X0] :
( ~ r1(sK30,X0)
| sP0(X0) ),
inference(resolution,[],[f161,f61]) ).
fof(f193,plain,
sP0(sK34),
inference(resolution,[],[f190,f55]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK8(X1))
| ~ r1(sK10(sK34),X2)
| ~ p2(X2)
| ~ r1(sK34,X0) ),
inference(resolution,[],[f193,f41]) ).
fof(f197,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK8(X1))
| r1(sK34,sK10(sK34))
| ~ r1(sK34,X0) ),
inference(resolution,[],[f193,f42]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| p2(sK8(X1))
| ~ r1(sK10(sK34),X2)
| ~ p2(X2)
| ~ r1(sK34,X0) ),
inference(resolution,[],[f193,f35]) ).
fof(f199,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK8(X1))
| r1(sK34,sK10(sK34))
| ~ r1(sK34,X0) ),
inference(resolution,[],[f193,f36]) ).
fof(f201,definition,
( spl41_5
<=> r1(sK34,sK10(sK34)) ),
introduced(definition,[new_symbols(definition,[spl41_5])],[avatar_definition]) ).
fof(f202,plain,
( r1(sK34,sK10(sK34))
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl41_6
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK34,X0)
| p2(sK8(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl41_6])],[avatar_definition]) ).
fof(f205,plain,
( ! [X0,X1] :
( ~ r1(sK34,X0)
| ~ r1(X0,X1)
| p2(sK8(X1)) )
| ~ spl41_6 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( spl41_5
| spl41_6 ),
inference(avatar_split_clause,[],[f199,f204,f201]) ).
fof(f208,definition,
( spl41_7
<=> ! [X2] :
( ~ r1(sK10(sK34),X2)
| ~ p2(X2) ) ),
introduced(definition,[new_symbols(definition,[spl41_7])],[avatar_definition]) ).
fof(f209,plain,
( ! [X2] :
( ~ p2(X2)
| ~ r1(sK10(sK34),X2) )
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f210,plain,
( spl41_7
| spl41_6 ),
inference(avatar_split_clause,[],[f198,f204,f208]) ).
fof(f212,definition,
( spl41_8
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK34,X0)
| r1(X1,sK8(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl41_8])],[avatar_definition]) ).
fof(f213,plain,
( ! [X0,X1] :
( ~ r1(sK34,X0)
| ~ r1(X0,X1)
| r1(X1,sK8(X1)) )
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f214,plain,
( spl41_5
| spl41_8 ),
inference(avatar_split_clause,[],[f197,f212,f201]) ).
fof(f215,plain,
( spl41_7
| spl41_8 ),
inference(avatar_split_clause,[],[f196,f212,f208]) ).
fof(f541,plain,
! [X2,X0,X1] :
( ~ r1(sK26,X0)
| ~ r1(X1,X2)
| p2(sK2(X2))
| ~ r1(X0,X1) ),
inference(resolution,[],[f106,f67]) ).
fof(f551,plain,
! [X0,X1] :
( ~ r1(sK30,X0)
| p2(sK2(X1))
| ~ r1(X0,X1) ),
inference(resolution,[],[f541,f61]) ).
fof(f798,plain,
! [X0] :
( ~ r1(sK34,X0)
| p2(sK2(X0)) ),
inference(resolution,[],[f551,f55]) ).
fof(f801,plain,
( p2(sK2(sK10(sK34)))
| ~ spl41_5 ),
inference(resolution,[],[f798,f202]) ).
fof(f803,plain,
p2(sK2(sK34)),
inference(resolution,[],[f798,f19]) ).
fof(f816,plain,
( ~ r1(sK10(sK34),sK2(sK10(sK34)))
| ~ spl41_5
| ~ spl41_7 ),
inference(resolution,[],[f801,f209]) ).
fof(f879,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X1,sK2(sK34))
| ~ r1(sK2(sK34),X2)
| p2(X2)
| ~ r1(X3,X0)
| ~ r1(sK2(sK34),X4)
| r1(X4,sK5(X4))
| ~ r1(sK22,X3) ),
inference(resolution,[],[f803,f105]) ).
fof(f894,definition,
( spl41_104
<=> ! [X4] :
( ~ r1(sK2(sK34),X4)
| r1(X4,sK5(X4)) ) ),
introduced(definition,[new_symbols(definition,[spl41_104])],[avatar_definition]) ).
fof(f895,plain,
( ! [X4] :
( ~ r1(sK2(sK34),X4)
| r1(X4,sK5(X4)) )
| ~ spl41_104 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f897,definition,
( spl41_105
<=> ! [X2] :
( ~ r1(sK2(sK34),X2)
| p2(X2) ) ),
introduced(definition,[new_symbols(definition,[spl41_105])],[avatar_definition]) ).
fof(f898,plain,
( ! [X2] :
( ~ r1(sK2(sK34),X2)
| p2(X2) )
| ~ spl41_105 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f912,definition,
( spl41_109
<=> ! [X0,X1,X3] :
( ~ r1(X0,X1)
| ~ r1(sK22,X3)
| ~ r1(X3,X0)
| ~ r1(X1,sK2(sK34)) ) ),
introduced(definition,[new_symbols(definition,[spl41_109])],[avatar_definition]) ).
fof(f913,plain,
( ! [X3,X0,X1] :
( ~ r1(X1,sK2(sK34))
| ~ r1(sK22,X3)
| ~ r1(X3,X0)
| ~ r1(X0,X1) )
| ~ spl41_109 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f914,plain,
( spl41_104
| spl41_105
| spl41_109 ),
inference(avatar_split_clause,[],[f879,f912,f897,f894]) ).
fof(f1118,plain,
( r1(sK2(sK34),sK5(sK2(sK34)))
| ~ spl41_104 ),
inference(resolution,[],[f895,f19]) ).
fof(f1847,plain,
( $false
| ~ spl41_5
| ~ spl41_7 ),
inference(unit_resulting_resolution,[],[f34,f102,f67,f61,f55,f202,f816]) ).
fof(f1848,plain,
( ~ spl41_5
| ~ spl41_7 ),
inference(avatar_contradiction_clause,[],[f1847]) ).
fof(f3630,plain,
! [X2,X0,X1] :
( ~ r1(sK26,X0)
| ~ r1(X1,X2)
| r1(X2,sK2(X2))
| ~ r1(X0,X1) ),
inference(resolution,[],[f134,f67]) ).
fof(f3640,plain,
! [X0,X1] :
( ~ r1(sK30,X0)
| r1(X1,sK2(X1))
| ~ r1(X0,X1) ),
inference(resolution,[],[f3630,f61]) ).
fof(f3651,plain,
! [X0] :
( ~ r1(sK34,X0)
| r1(X0,sK2(X0)) ),
inference(resolution,[],[f3640,f55]) ).
fof(f3657,plain,
r1(sK34,sK2(sK34)),
inference(resolution,[],[f3651,f19]) ).
fof(f3760,plain,
r1(sK2(sK34),sK35(sK2(sK34))),
inference(resolution,[],[f3657,f54]) ).
fof(f3761,plain,
( ! [X0] :
( ~ r1(sK2(sK34),X0)
| p2(sK8(X0)) )
| ~ spl41_6 ),
inference(resolution,[],[f3657,f205]) ).
fof(f3762,plain,
( ! [X0] :
( ~ r1(sK2(sK34),X0)
| r1(X0,sK8(X0)) )
| ~ spl41_8 ),
inference(resolution,[],[f3657,f213]) ).
fof(f4175,plain,
( p2(sK8(sK5(sK2(sK34))))
| ~ spl41_6
| ~ spl41_104 ),
inference(resolution,[],[f3761,f1118]) ).
fof(f4182,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(sK5(X4),sK8(sK5(sK2(sK34))))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| ~ r1(X2,X4)
| ~ r1(X0,X1)
| ~ r1(X5,X0)
| ~ r1(sK22,X5) )
| ~ spl41_6
| ~ spl41_104 ),
inference(resolution,[],[f4175,f107]) ).
fof(f4499,plain,
( r1(sK5(sK2(sK34)),sK8(sK5(sK2(sK34))))
| ~ spl41_8
| ~ spl41_104 ),
inference(resolution,[],[f3762,f1118]) ).
fof(f5016,plain,
( p2(sK35(sK2(sK34)))
| ~ spl41_105 ),
inference(resolution,[],[f898,f3760]) ).
fof(f5020,plain,
( ~ r1(sK34,sK2(sK34))
| ~ spl41_105 ),
inference(resolution,[],[f5016,f53]) ).
fof(f5065,plain,
( $false
| ~ spl41_105 ),
inference(forward_subsumption_resolution,[],[f5020,f3657]) ).
fof(f5066,plain,
~ spl41_105,
inference(avatar_contradiction_clause,[],[f5065]) ).
fof(f9552,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X1,sK2(sK34))
| ~ r1(X1,X2)
| p2(X2)
| ~ p2(X1)
| ~ r1(X0,X1)
| ~ r1(X3,X0)
| ~ r1(X4,X3)
| ~ r1(sK22,X4) )
| ~ spl41_6
| ~ spl41_8
| ~ spl41_104 ),
inference(resolution,[],[f4182,f4499]) ).
fof(f9553,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK2(sK34),X0)
| p2(X0)
| ~ p2(sK2(sK34))
| ~ r1(X1,sK2(sK34))
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK22,X3) )
| ~ spl41_6
| ~ spl41_8
| ~ spl41_104 ),
inference(resolution,[],[f9552,f19]) ).
fof(f9555,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK2(sK34),X0)
| p2(X0)
| ~ r1(X1,sK2(sK34))
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK22,X3) )
| ~ spl41_6
| ~ spl41_8
| ~ spl41_104 ),
inference(forward_subsumption_resolution,[],[f9553,f803]) ).
fof(f9556,plain,
( spl41_109
| spl41_105
| ~ spl41_6
| ~ spl41_8
| ~ spl41_104 ),
inference(avatar_split_clause,[],[f9555,f894,f212,f204,f897,f912]) ).
fof(f9557,plain,
( $false
| ~ spl41_109 ),
inference(unit_resulting_resolution,[],[f913,f55,f61,f67,f3657]) ).
fof(f9560,plain,
~ spl41_109,
inference(avatar_contradiction_clause,[],[f9557]) ).
cnf(s5,plain,
( spl41_5
| spl41_6 ),
inference(sat_conversion,[],[f206]) ).
cnf(s6,plain,
( spl41_6
| spl41_7 ),
inference(sat_conversion,[],[f210]) ).
cnf(s7,plain,
( spl41_5
| spl41_8 ),
inference(sat_conversion,[],[f214]) ).
cnf(s8,plain,
( spl41_7
| spl41_8 ),
inference(sat_conversion,[],[f215]) ).
cnf(s87,plain,
( spl41_104
| spl41_105
| spl41_109 ),
inference(sat_conversion,[],[f914]) ).
cnf(s180,plain,
( ~ spl41_5
| ~ spl41_7 ),
inference(sat_conversion,[],[f1848]) ).
cnf(s505,plain,
~ spl41_105,
inference(sat_conversion,[],[f5066]) ).
cnf(s1101,plain,
( ~ spl41_6
| ~ spl41_8
| ~ spl41_104
| spl41_105
| spl41_109 ),
inference(sat_conversion,[],[f9556]) ).
cnf(s1102,plain,
~ spl41_109,
inference(sat_conversion,[],[f9560]) ).
cnf(s1103,plain,
( ~ spl41_6
| ~ spl41_8
| ~ spl41_104
| spl41_105 ),
inference(rat,[],[s1101,s1102]) ).
cnf(s1128,plain,
spl41_104,
inference(rat,[],[s87,s1102,s505]) ).
cnf(s1129,plain,
spl41_5,
inference(rat,[],[s1103,s5,s7,s1128,s505]) ).
cnf(s1130,plain,
~ spl41_7,
inference(rat,[],[s180,s1129]) ).
cnf(s1131,plain,
spl41_8,
inference(rat,[],[s8,s1130]) ).
cnf(s1132,plain,
spl41_6,
inference(rat,[],[s6,s1130]) ).
cnf(s1133,plain,
$false,
inference(rat,[],[s1103,s505,s1128,s1131,s1132]) ).
fof(f9561,plain,
$false,
inference(avatar_sat_refutation,[],[s1133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL670+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n002.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 16:31:07 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 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
% 23.23/4.22 % (3720470)Detected formulas, will run a generic FOF schedule.
% 23.23/4.22 % (3720475)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=1278822370:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 23.23/4.22 % (3720479)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1782707502:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 23.23/4.22 % (3720480)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3824555611:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 23.23/4.22 % (3720478)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1511917409:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 23.23/4.22 % (3720476)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=3830034840:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 23.23/4.22 % (3720481)dis-21_1_sil=8000:lcm=predicate:random_seed=2481658484: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)
% 23.23/4.22 % (3720477)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=214263561:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 23.23/4.22 % (3720479)Instruction limit reached!
% 23.23/4.22 % (3720479)------------------------------
% 23.23/4.22 % (3720479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.22 % (3720479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.22 % (3720479)CaDiCaL version: 2.1.3
% 23.23/4.22 % (3720479)Termination reason: Instruction limit
% 23.23/4.22 % (3720479)Termination phase: Saturation
% 23.23/4.22 % (3720479)Time elapsed: 0.094 s
% 23.23/4.22 % (3720479)Peak memory usage: 88 MB
% 23.23/4.22 % (3720479)Instructions burned: 119 (million)
% 23.23/4.22 % (3720481)Instruction limit reached!
% 23.23/4.22 % (3720481)------------------------------
% 23.23/4.22 % (3720481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.22 % (3720481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.22 % (3720481)CaDiCaL version: 2.1.3
% 23.23/4.22 % (3720481)Termination reason: Instruction limit
% 23.23/4.22 % (3720481)Termination phase: Saturation
% 23.23/4.22 % (3720481)Time elapsed: 0.096 s
% 23.23/4.22 % (3720481)Peak memory usage: 88 MB
% 23.23/4.22 % (3720481)Instructions burned: 130 (million)
% 23.23/4.22 % (3720478)Instruction limit reached!
% 23.23/4.22 % (3720478)------------------------------
% 23.23/4.22 % (3720478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.22 % (3720478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.22 % (3720478)CaDiCaL version: 2.1.3
% 23.23/4.22 % (3720478)Termination reason: Instruction limit
% 23.23/4.22 % (3720478)Termination phase: Saturation
% 23.23/4.22 % (3720478)Time elapsed: 0.106 s
% 23.23/4.22 % (3720478)Peak memory usage: 92 MB
% 23.23/4.22 % (3720478)Instructions burned: 113 (million)
% 23.23/4.22 % (3720480)Instruction limit reached!
% 23.23/4.22 % (3720480)------------------------------
% 23.23/4.22 % (3720480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.22 % (3720480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.22 % (3720480)CaDiCaL version: 2.1.3
% 23.23/4.22 % (3720480)Termination reason: Instruction limit
% 23.23/4.22 % (3720480)Termination phase: Saturation
% 23.23/4.22 % (3720480)Time elapsed: 0.128 s
% 23.23/4.22 % (3720480)Peak memory usage: 89 MB
% 23.23/4.22 % (3720480)Instructions burned: 140 (million)
% 23.23/4.22 % (3720489)lrs+10_1_sil=8000:sp=occurrence:random_seed=3573051726:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 23.23/4.22 % (3720490)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1168606968:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 23.23/4.22 % (3720491)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3784801781:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 23.23/4.22 % (3720492)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=2599510870:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 23.23/4.22 % (3720490)Instruction limit reached!
% 33.52/5.77 % (3720490)------------------------------
% 33.52/5.77 % (3720490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.52/5.77 % (3720490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.77 % (3720490)CaDiCaL version: 2.1.3
% 33.52/5.77 % (3720490)Termination reason: Instruction limit
% 33.52/5.77 % (3720490)Termination phase: Saturation
% 33.52/5.77 % (3720490)Time elapsed: 0.123 s
% 33.52/5.77 % (3720490)Peak memory usage: 88 MB
% 33.52/5.77 % (3720490)Instructions burned: 157 (million)
% 33.52/5.77 % (3720492)Instruction limit reached!
% 33.52/5.77 % (3720492)------------------------------
% 33.52/5.77 % (3720492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.52/5.77 % (3720492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.77 % (3720492)CaDiCaL version: 2.1.3
% 33.52/5.77 % (3720492)Termination reason: Instruction limit
% 33.52/5.77 % (3720492)Termination phase: Saturation
% 33.52/5.77 % (3720492)Time elapsed: 0.193 s
% 33.52/5.77 % (3720492)Peak memory usage: 88 MB
% 33.52/5.77 % (3720492)Instructions burned: 249 (million)
% 33.52/5.77 % (3720489)Instruction limit reached!
% 33.52/5.77 % (3720489)------------------------------
% 33.52/5.77 % (3720489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.52/5.77 % (3720489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.77 % (3720489)CaDiCaL version: 2.1.3
% 33.52/5.77 % (3720489)Termination reason: Instruction limit
% 33.52/5.77 % (3720489)Termination phase: Saturation
% 33.52/5.77 % (3720489)Time elapsed: 0.240 s
% 33.52/5.77 % (3720489)Peak memory usage: 92 MB
% 33.52/5.77 % (3720489)Instructions burned: 285 (million)
% 33.52/5.77 % (3720491)Instruction limit reached!
% 33.52/5.77 % (3720491)------------------------------
% 33.52/5.77 % (3720491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.52/5.77 % (3720491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.77 % (3720491)CaDiCaL version: 2.1.3
% 33.52/5.77 % (3720491)Termination reason: Instruction limit
% 33.52/5.77 % (3720491)Termination phase: Saturation
% 33.52/5.77 % (3720491)Time elapsed: 0.291 s
% 33.52/5.77 % (3720491)Peak memory usage: 91 MB
% 33.52/5.77 % (3720491)Instructions burned: 326 (million)
% 33.52/5.77 % (3720497)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1264239606:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 33.52/5.77 % (3720499)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2251523121:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 33.52/5.77 % (3720498)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3935650487:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 33.52/5.77 % (3720499)Instruction limit reached!
% 33.52/5.77 % (3720499)------------------------------
% 33.52/5.77 % (3720499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.52/5.77 % (3720499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.77 % (3720499)CaDiCaL version: 2.1.3
% 33.52/5.77 % (3720499)Termination reason: Instruction limit
% 33.52/5.77 % (3720499)Termination phase: Saturation
% 33.52/5.77 % (3720499)Time elapsed: 0.104 s
% 33.52/5.77 % (3720499)Peak memory usage: 92 MB
% 33.52/5.77 % (3720499)Instructions burned: 114 (million)
% 33.52/5.77 % (3720497)Instruction limit reached!
% 33.52/5.77 % (3720497)------------------------------
% 33.52/5.77 % (3720497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.52/5.77 % (3720497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.77 % (3720497)CaDiCaL version: 2.1.3
% 33.52/5.77 % (3720497)Termination reason: Instruction limit
% 33.52/5.77 % (3720497)Termination phase: Saturation
% 33.52/5.77 % (3720497)Time elapsed: 0.252 s
% 33.52/5.77 % (3720497)Peak memory usage: 89 MB
% 33.52/5.77 % (3720497)Instructions burned: 295 (million)
% 33.52/5.77 % (3720500)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3988290368:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 33.52/5.77 % (3720500)Instruction limit reached!
% 33.52/5.77 % (3720500)------------------------------
% 33.52/5.77 % (3720500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.52/5.77 % (3720500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.77 % (3720500)CaDiCaL version: 2.1.3
% 33.52/5.77 % (3720500)Termination reason: Instruction limit
% 62.23/9.77 % (3720500)Termination phase: Saturation
% 62.23/9.77 % (3720500)Time elapsed: 0.112 s
% 62.23/9.77 % (3720500)Peak memory usage: 89 MB
% 62.23/9.77 % (3720500)Instructions burned: 128 (million)
% 62.23/9.77 % (3720505)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2869339729:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 62.23/9.77 % (3720506)lrs+10_1_sil=8000:sp=occurrence:random_seed=3771083613:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 62.23/9.77 % (3720505)Instruction limit reached!
% 62.23/9.77 % (3720505)------------------------------
% 62.23/9.77 % (3720505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720505)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720505)Termination reason: Instruction limit
% 62.23/9.77 % (3720505)Termination phase: Saturation
% 62.23/9.77 % (3720505)Time elapsed: 0.085 s
% 62.23/9.77 % (3720505)Peak memory usage: 89 MB
% 62.23/9.77 % (3720505)Instructions burned: 114 (million)
% 62.23/9.77 % (3720508)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2576211376:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 62.23/9.77 % (3720512)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4219056731:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 62.23/9.77 % (3720508)Instruction limit reached!
% 62.23/9.77 % (3720508)------------------------------
% 62.23/9.77 % (3720508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720508)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720508)Termination reason: Instruction limit
% 62.23/9.77 % (3720508)Termination phase: Saturation
% 62.23/9.77 % (3720508)Time elapsed: 0.360 s
% 62.23/9.77 % (3720508)Peak memory usage: 92 MB
% 62.23/9.77 % (3720508)Instructions burned: 438 (million)
% 62.23/9.77 % (3720506)Instruction limit reached!
% 62.23/9.77 % (3720506)------------------------------
% 62.23/9.77 % (3720506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720506)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720506)Termination reason: Instruction limit
% 62.23/9.77 % (3720506)Termination phase: Saturation
% 62.23/9.77 % (3720506)Time elapsed: 0.735 s
% 62.23/9.77 % (3720506)Peak memory usage: 97 MB
% 62.23/9.77 % (3720506)Instructions burned: 907 (million)
% 62.23/9.77 % (3720518)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1023665510:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 62.23/9.77 % (3720518)Instruction limit reached!
% 62.23/9.77 % (3720518)------------------------------
% 62.23/9.77 % (3720518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720518)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720518)Termination reason: Instruction limit
% 62.23/9.77 % (3720518)Termination phase: Saturation
% 62.23/9.77 % (3720518)Time elapsed: 0.102 s
% 62.23/9.77 % (3720518)Peak memory usage: 89 MB
% 62.23/9.77 % (3720518)Instructions burned: 134 (million)
% 62.23/9.77 % (3720520)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2249941991:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 62.23/9.77 % (3720524)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3612973769:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 62.23/9.77 % (3720520)Instruction limit reached!
% 62.23/9.77 % (3720520)------------------------------
% 62.23/9.77 % (3720520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720520)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720520)Termination reason: Instruction limit
% 62.23/9.77 % (3720520)Termination phase: Saturation
% 62.23/9.77 % (3720520)Time elapsed: 0.492 s
% 62.23/9.77 % (3720520)Peak memory usage: 92 MB
% 62.23/9.77 % (3720520)Instructions burned: 592 (million)
% 62.23/9.77 % (3720528)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=873974806:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 62.23/9.77 % (3720528)Instruction limit reached!
% 62.23/9.77 % (3720528)------------------------------
% 62.23/9.77 % (3720528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720528)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720528)Termination reason: Instruction limit
% 62.23/9.77 % (3720528)Termination phase: Saturation
% 62.23/9.77 % (3720528)Time elapsed: 0.129 s
% 62.23/9.77 % (3720528)Peak memory usage: 90 MB
% 62.23/9.77 % (3720528)Instructions burned: 125 (million)
% 62.23/9.77 % (3720498)Instruction limit reached!
% 62.23/9.77 % (3720498)------------------------------
% 62.23/9.77 % (3720498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720498)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720498)Termination reason: Instruction limit
% 62.23/9.77 % (3720498)Termination phase: Saturation
% 62.23/9.77 % (3720498)Time elapsed: 2.330 s
% 62.23/9.77 % (3720498)Peak memory usage: 144 MB
% 62.23/9.77 % (3720498)Instructions burned: 2350 (million)
% 62.23/9.77 % (3720530)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=959426364:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 62.23/9.77 % (3720531)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1861504602:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/141Mi)
% 62.23/9.77 % (3720530)Instruction limit reached!
% 62.23/9.77 % (3720530)------------------------------
% 62.23/9.77 % (3720530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720530)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720530)Termination reason: Instruction limit
% 62.23/9.77 % (3720530)Termination phase: Saturation
% 62.23/9.77 % (3720530)Time elapsed: 0.104 s
% 62.23/9.77 % (3720530)Peak memory usage: 91 MB
% 62.23/9.77 % (3720530)Instructions burned: 135 (million)
% 62.23/9.77 % (3720531)Instruction limit reached!
% 62.23/9.77 % (3720531)------------------------------
% 62.23/9.77 % (3720531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720531)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720531)Termination reason: Instruction limit
% 62.23/9.77 % (3720531)Termination phase: Saturation
% 62.23/9.77 % (3720531)Time elapsed: 0.122 s
% 62.23/9.77 % (3720531)Peak memory usage: 93 MB
% 62.23/9.77 % (3720531)Instructions burned: 142 (million)
% 62.23/9.77 % (3720534)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3340816409:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2963 on theBenchmark for (2963ds/431Mi)
% 62.23/9.77 % (3720535)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=489208519:i=6060:aac=none:ins=25_2962 on theBenchmark for (2962ds/6060Mi)
% 62.23/9.77 % (3720534)Instruction limit reached!
% 62.23/9.77 % (3720534)------------------------------
% 62.23/9.77 % (3720534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720534)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720534)Termination reason: Instruction limit
% 62.23/9.77 % (3720534)Termination phase: Saturation
% 62.23/9.77 % (3720534)Time elapsed: 0.395 s
% 62.23/9.77 % (3720534)Peak memory usage: 93 MB
% 62.23/9.77 % (3720534)Instructions burned: 431 (million)
% 62.23/9.77 % (3720540)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3179667312:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2956 on theBenchmark for (2956ds/150Mi)
% 62.23/9.77 % (3720540)Instruction limit reached!
% 62.23/9.77 % (3720540)------------------------------
% 62.23/9.77 % (3720540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720540)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720540)Termination reason: Instruction limit
% 62.23/9.77 % (3720540)Termination phase: Saturation
% 62.23/9.77 % (3720540)Time elapsed: 0.136 s
% 62.23/9.77 % (3720540)Peak memory usage: 91 MB
% 62.23/9.77 % (3720540)Instructions burned: 150 (million)
% 62.23/9.77 % (3720544)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1331371072:i=14155:bd=all_2952 on theBenchmark for (2952ds/14155Mi)
% 62.23/9.77 % (3720512)Instruction limit reached!
% 62.23/9.77 % (3720512)------------------------------
% 62.23/9.77 % (3720512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720512)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720512)Termination reason: Instruction limit
% 62.23/9.77 % (3720512)Termination phase: Saturation
% 62.23/9.77 % (3720512)Time elapsed: 3.813 s
% 62.23/9.77 % (3720512)Peak memory usage: 136 MB
% 62.23/9.77 % (3720512)Instructions burned: 5202 (million)
% 62.23/9.77 % (3720546)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3514197535:i=667:av=off:fsr=off_2943 on theBenchmark for (2943ds/667Mi)
% 62.23/9.77 % (3720546)Instruction limit reached!
% 62.23/9.77 % (3720546)------------------------------
% 62.23/9.77 % (3720546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720546)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720546)Termination reason: Instruction limit
% 62.23/9.77 % (3720546)Termination phase: Saturation
% 62.23/9.77 % (3720546)Time elapsed: 0.587 s
% 62.23/9.77 % (3720546)Peak memory usage: 132 MB
% 62.23/9.77 % (3720546)Instructions burned: 668 (million)
% 62.23/9.77 % (3720550)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1295821744:s2a=on:i=185:s2at=1.8:fdi=4_2934 on theBenchmark for (2934ds/185Mi)
% 62.23/9.77 % (3720550)Instruction limit reached!
% 62.23/9.77 % (3720550)------------------------------
% 62.23/9.77 % (3720550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720550)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720550)Termination reason: Instruction limit
% 62.23/9.77 % (3720550)Termination phase: Saturation
% 62.23/9.77 % (3720550)Time elapsed: 0.161 s
% 62.23/9.77 % (3720550)Peak memory usage: 91 MB
% 62.23/9.77 % (3720550)Instructions burned: 186 (million)
% 62.23/9.77 % (3720552)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3046471367:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2931 on theBenchmark for (2931ds/193Mi)
% 62.23/9.77 % (3720552)Instruction limit reached!
% 62.23/9.77 % (3720552)------------------------------
% 62.23/9.77 % (3720552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720552)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720552)Termination reason: Instruction limit
% 62.23/9.77 % (3720552)Termination phase: Saturation
% 62.23/9.77 % (3720552)Time elapsed: 0.183 s
% 62.23/9.77 % (3720552)Peak memory usage: 93 MB
% 62.23/9.77 % (3720552)Instructions burned: 193 (million)
% 62.23/9.77 % (3720556)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2235139380:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2926 on theBenchmark for (2926ds/4850Mi)
% 62.23/9.77 % (3720476)First to succeed.
% 62.23/9.77 % (3720476)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3720470"
% 62.23/9.77 % (3720535)Instruction limit reached!
% 62.23/9.77 % (3720535)------------------------------
% 62.23/9.77 % (3720535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.23/9.77 % (3720535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.23/9.77 % (3720535)CaDiCaL version: 2.1.3
% 62.23/9.77 % (3720535)Termination reason: Instruction limit
% 62.23/9.77 % (3720535)Termination phase: Saturation
% 62.23/9.77 % (3720535)Time elapsed: 4.617 s
% 62.23/9.77 % (3720535)Peak memory usage: 171 MB
% 62.23/9.77 % (3720535)Instructions burned: 6061 (million)
% 62.23/9.77 % (3720476)Refutation found. Thanks to Tanya!
% 62.23/9.77 % SZS status Theorem for theBenchmark
% 62.23/9.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/10.04 % (3720476)------------------------------
% 0.23/10.04 % (3720476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/10.04 % (3720476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/10.04 % (3720476)CaDiCaL version: 2.1.3
% 0.23/10.04 % (3720476)Termination reason: Refutation
% 0.23/10.04 % (3720476)Time elapsed: 8.053 s
% 0.23/10.04 % (3720476)Peak memory usage: 143 MB
% 0.23/10.04 % (3720476)Instructions burned: 9685 (million)
% 0.23/10.04 % (3720476)------------------------------
% 0.23/10.04 % (3720476)------------------------------
% 0.23/10.04 % (3720470)Success in time 8.786 s
% 0.23/10.04 % Vampire exiting
%------------------------------------------------------------------------------