%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL658+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 : n013.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 11:54:22 AM UTC 2026
% Result : Theorem 5.30s 2.13s
% Output : Refutation 9.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 25
% Syntax : Number of formulae : 279 ( 29 unt; 24 def)
% Number of atoms : 1814 ( 0 equ)
% Maximal formula atoms : 88 ( 6 avg)
% Number of connectives : 2735 (1200 ~;1290 |; 225 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 21 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 6 con; 0-1 aty)
% Number of variables : 766 ( 0 sgn 665 !; 101 ?)
% 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)
| p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,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) ) )
| ~ ! [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) )
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) )
& ( p1(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) )
| ~ p1(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)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) ) ) ) )
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) ) )
& ! [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)
| p1(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,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) ) )
| ~ ! [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) )
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) )
& ( p1(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) )
| ~ p1(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)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) ) ) ) )
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ p1(X1) ) ) ) ) )
& ! [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)
| p1(X6) ) )
| ~ ! [X7] :
( ~ r1(X4,X7)
| p1(X7) ) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ! [X11] :
( ~ r1(X10,X11)
| p1(X11) )
| ~ p1(X10)
| ! [X12] :
( ~ r1(X10,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ p1(X13) ) )
| ~ ! [X15] :
( ~ r1(X10,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ p1(X15)
| ~ ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) )
| ~ ( ! [X20] :
( ~ r1(X17,X20)
| p1(X20) )
| ~ p1(X17) ) ) ) )
& ( p1(X10)
| ! [X21] :
( ~ r1(X10,X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
| ~ ! [X23] :
( ~ r1(X10,X23)
| p1(X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p1(X25) )
| ~ p1(X24) ) ) )
& ! [X26] :
( ~ r1(X10,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ~ ! [X29] :
( ~ r1(X26,X29)
| p1(X29) ) )
& ( ! [X30] :
( ~ r1(X10,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p1(X31)
| ~ ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p1(X33) )
| ~ p1(X32) ) ) )
| ~ ! [X34] :
( ~ r1(X10,X34)
| p1(X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) )
| ~ p1(X35) ) ) ) ) ) ) )
| ~ ( ~ ! [X37] :
( ~ r1(X0,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ! [X41] :
( ~ r1(X39,X41)
| ~ ! [X42] :
( ~ r1(X41,X42)
| p1(X42) ) )
| ~ ! [X43] :
( ~ r1(X39,X43)
| p1(X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p1(X45) )
| ~ p1(X44) ) ) ) ) )
& ! [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(X0,X51)
| ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
| ~ ! [X54] :
( ~ r1(X51,X54)
| p1(X54) ) ) ) ),
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)
| p1(X6) ) )
| ~ ! [X7] :
( ~ r1(X4,X7)
| p1(X7) ) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ! [X11] :
( ~ r1(X10,X11)
| p1(X11) )
| ~ p1(X10)
| ! [X12] :
( ~ r1(X10,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p1(X14) )
| ~ p1(X13) ) )
| ~ ! [X15] :
( ~ r1(X10,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) )
| ~ p1(X15)
| ~ ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) )
| ~ ( ! [X20] :
( ~ r1(X17,X20)
| p1(X20) )
| ~ p1(X17) ) ) ) )
& ( p1(X10)
| ! [X21] :
( ~ r1(X10,X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
| ~ ! [X23] :
( ~ r1(X10,X23)
| p1(X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p1(X25) )
| ~ p1(X24) ) ) )
& ! [X26] :
( ~ r1(X10,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ~ ! [X29] :
( ~ r1(X26,X29)
| p1(X29) ) )
& ( ! [X30] :
( ~ r1(X10,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p1(X31)
| ~ ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p1(X33) )
| ~ p1(X32) ) ) )
| ~ ! [X34] :
( ~ r1(X10,X34)
| p1(X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) )
| ~ p1(X35) ) ) ) ) ) ) )
| ~ ( ~ ! [X37] :
( ~ r1(X0,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p1(X40) )
| ! [X41] :
( ~ r1(X39,X41)
| ~ ! [X42] :
( ~ r1(X41,X42)
| p1(X42) ) )
| ~ ! [X43] :
( ~ r1(X39,X43)
| p1(X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p1(X45) )
| ~ p1(X44) ) ) ) ) )
& ! [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(X0,X51)
| ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
| ~ ! [X54] :
( ~ r1(X51,X54)
| p1(X54) ) ) ) ),
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)
| p1(X6) ) )
| ? [X7] :
( r1(X4,X7)
& ~ p1(X7) ) ) ) ) )
& ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ! [X11] :
( ~ r1(X10,X11)
| p1(X11) )
| ~ p1(X10)
| ! [X12] :
( ~ r1(X10,X12)
| ? [X13] :
( r1(X12,X13)
& ? [X14] :
( r1(X13,X14)
& ~ p1(X14) )
& p1(X13) ) )
| ? [X15] :
( r1(X10,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p1(X16) )
& p1(X15)
& ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) )
| ( ? [X20] :
( r1(X17,X20)
& ~ p1(X20) )
& p1(X17) ) ) ) )
& ( p1(X10)
| ! [X21] :
( ~ r1(X10,X21)
| ? [X22] :
( r1(X21,X22)
& ~ p1(X22) ) )
| ? [X23] :
( r1(X10,X23)
& ~ p1(X23)
& ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p1(X25) )
| ~ p1(X24) ) ) )
& ! [X26] :
( ~ r1(X10,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) )
& ( ! [X30] :
( ~ r1(X10,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p1(X31)
| ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p1(X33) )
& p1(X32) ) ) )
| ? [X34] :
( r1(X10,X34)
& ~ p1(X34)
& ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) )
| ~ p1(X35) ) ) ) ) ) ) )
& ? [X37] :
( r1(X0,X37)
& ? [X38] :
( r1(X37,X38)
& ? [X39] :
( r1(X38,X39)
& ? [X40] :
( r1(X39,X40)
& ~ p1(X40) )
& ? [X41] :
( r1(X39,X41)
& ! [X42] :
( ~ r1(X41,X42)
| p1(X42) ) )
& ! [X43] :
( ~ r1(X39,X43)
| p1(X43)
| ? [X44] :
( r1(X43,X44)
& ? [X45] :
( r1(X44,X45)
& ~ p1(X45) )
& p1(X44) ) ) ) ) )
& ! [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(X0,X51)
| ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
| ? [X54] :
( r1(X51,X54)
& ~ p1(X54) ) ) ),
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)
| p1(X6) ) )
| ? [X7] :
( r1(X4,X7)
& ~ p1(X7) ) ) ) ) )
& ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( ! [X11] :
( ~ r1(X10,X11)
| p1(X11) )
| ~ p1(X10)
| ! [X12] :
( ~ r1(X10,X12)
| ? [X13] :
( r1(X12,X13)
& ? [X14] :
( r1(X13,X14)
& ~ p1(X14) )
& p1(X13) ) )
| ? [X15] :
( r1(X10,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p1(X16) )
& p1(X15)
& ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) )
| ( ? [X20] :
( r1(X17,X20)
& ~ p1(X20) )
& p1(X17) ) ) ) )
& ( p1(X10)
| ! [X21] :
( ~ r1(X10,X21)
| ? [X22] :
( r1(X21,X22)
& ~ p1(X22) ) )
| ? [X23] :
( r1(X10,X23)
& ~ p1(X23)
& ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p1(X25) )
| ~ p1(X24) ) ) )
& ! [X26] :
( ~ r1(X10,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) )
& ( ! [X30] :
( ~ r1(X10,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p1(X31)
| ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p1(X33) )
& p1(X32) ) ) )
| ? [X34] :
( r1(X10,X34)
& ~ p1(X34)
& ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) )
| ~ p1(X35) ) ) ) ) ) ) )
& ? [X37] :
( r1(X0,X37)
& ? [X38] :
( r1(X37,X38)
& ? [X39] :
( r1(X38,X39)
& ? [X40] :
( r1(X39,X40)
& ~ p1(X40) )
& ? [X41] :
( r1(X39,X41)
& ! [X42] :
( ~ r1(X41,X42)
| p1(X42) ) )
& ! [X43] :
( ~ r1(X39,X43)
| p1(X43)
| ? [X44] :
( r1(X43,X44)
& ? [X45] :
( r1(X44,X45)
& ~ p1(X45) )
& p1(X44) ) ) ) ) )
& ! [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(X0,X51)
| ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
| ? [X54] :
( r1(X51,X54)
& ~ p1(X54) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,definition,
! [X10] :
( ! [X30] :
( ~ r1(X10,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p1(X31)
| ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p1(X33) )
& p1(X32) ) ) )
| ~ sP0(X10) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X10] :
( ? [X15] :
( r1(X10,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p1(X16) )
& p1(X15)
& ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) )
| ( ? [X20] :
( r1(X17,X20)
& ~ p1(X20) )
& p1(X17) ) ) )
| ~ sP1(X10) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X10] :
( p1(X10)
| ! [X21] :
( ~ r1(X10,X21)
| ? [X22] :
( r1(X21,X22)
& ~ p1(X22) ) )
| ? [X23] :
( r1(X10,X23)
& ~ p1(X23)
& ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p1(X25) )
| ~ p1(X24) ) )
| ~ sP2(X10) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| p1(X11) )
| ~ p1(X10)
| ! [X12] :
( ~ r1(X10,X12)
| ? [X13] :
( r1(X12,X13)
& ? [X14] :
( r1(X13,X14)
& ~ p1(X14) )
& p1(X13) ) )
| sP1(X10)
| ~ sP3(X10) ),
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)
| p1(X6) ) )
| ? [X7] :
( r1(X4,X7)
& ~ p1(X7) ) ) ) ) )
& ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( sP3(X10)
& sP2(X10)
& ! [X26] :
( ~ r1(X10,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
| ? [X29] :
( r1(X26,X29)
& ~ p1(X29) ) )
& ( sP0(X10)
| ? [X34] :
( r1(X10,X34)
& ~ p1(X34)
& ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36) )
| ~ p1(X35) ) ) ) ) ) ) )
& ? [X37] :
( r1(X0,X37)
& ? [X38] :
( r1(X37,X38)
& ? [X39] :
( r1(X38,X39)
& ? [X40] :
( r1(X39,X40)
& ~ p1(X40) )
& ? [X41] :
( r1(X39,X41)
& ! [X42] :
( ~ r1(X41,X42)
| p1(X42) ) )
& ! [X43] :
( ~ r1(X39,X43)
| p1(X43)
| ? [X44] :
( r1(X43,X44)
& ? [X45] :
( r1(X44,X45)
& ~ p1(X45) )
& p1(X44) ) ) ) ) )
& ! [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(X0,X51)
| ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
| ? [X54] :
( r1(X51,X54)
& ~ p1(X54) ) ) ),
inference(definition_folding,[],[f7,f11,f10,f9,f8]) ).
fof(f13,plain,
! [X10] :
( ! [X11] :
( ~ r1(X10,X11)
| p1(X11) )
| ~ p1(X10)
| ! [X12] :
( ~ r1(X10,X12)
| ? [X13] :
( r1(X12,X13)
& ? [X14] :
( r1(X13,X14)
& ~ p1(X14) )
& p1(X13) ) )
| sP1(X10)
| ~ sP3(X10) ),
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,
! [X10] :
( p1(X10)
| ! [X21] :
( ~ r1(X10,X21)
| ? [X22] :
( r1(X21,X22)
& ~ p1(X22) ) )
| ? [X23] :
( r1(X10,X23)
& ~ p1(X23)
& ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p1(X25) )
| ~ p1(X24) ) )
| ~ sP2(X10) ),
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,
! [X10] :
( ? [X15] :
( r1(X10,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p1(X16) )
& p1(X15)
& ! [X17] :
( ~ r1(X15,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) )
| ( ? [X20] :
( r1(X17,X20)
& ~ p1(X20) )
& p1(X17) ) ) )
| ~ sP1(X10) ),
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,
! [X10] :
( ! [X30] :
( ~ r1(X10,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p1(X31)
| ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p1(X33) )
& p1(X32) ) ) )
| ~ sP0(X10) ),
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)
| p1(X6) ) )
| ? [X7] :
( r1(X4,X7)
& ~ p1(X7) ) ) ) ) )
& ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( sP3(X10)
& sP2(X10)
& ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
| ? [X14] :
( r1(X11,X14)
& ~ p1(X14) ) )
& ( sP0(X10)
| ? [X15] :
( r1(X10,X15)
& ~ p1(X15)
& ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| p1(X17) )
| ~ p1(X16) ) ) ) ) ) ) )
& ? [X18] :
( r1(X0,X18)
& ? [X19] :
( r1(X18,X19)
& ? [X20] :
( r1(X19,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p1(X21) )
& ? [X22] :
( r1(X20,X22)
& ! [X23] :
( ~ r1(X22,X23)
| p1(X23) ) )
& ! [X24] :
( ~ r1(X20,X24)
| p1(X24)
| ? [X25] :
( r1(X24,X25)
& ? [X26] :
( r1(X25,X26)
& ~ p1(X26) )
& p1(X25) ) ) ) ) )
& ! [X27] :
( ~ r1(X0,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) )
| ? [X31] :
( r1(X28,X31)
& ~ p1(X31) ) ) )
& ! [X32] :
( ~ r1(X0,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) ) )
| ? [X35] :
( r1(X32,X35)
& ~ p1(X35) ) ) ),
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)
| p1(X6) ) )
| ( r1(X4,sK14(X4))
& ~ p1(sK14(X4)) ) ) ) ) )
& ! [X8] :
( ~ r1(sK13,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( sP3(X10)
& sP2(X10)
& ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
| ( r1(X11,sK15(X11))
& ~ p1(sK15(X11)) ) )
& ( sP0(X10)
| ( r1(X10,sK16(X10))
& ~ p1(sK16(X10))
& ! [X16] :
( ~ r1(sK16(X10),X16)
| ! [X17] :
( ~ r1(X16,X17)
| p1(X17) )
| ~ p1(X16) ) ) ) ) ) ) )
& r1(sK13,sK17)
& r1(sK17,sK18)
& r1(sK18,sK19)
& r1(sK19,sK20)
& ~ p1(sK20)
& r1(sK19,sK21)
& ! [X23] :
( ~ r1(sK21,X23)
| p1(X23) )
& ! [X24] :
( ~ r1(sK19,X24)
| p1(X24)
| ( r1(X24,sK22(X24))
& r1(sK22(X24),sK23(X24))
& ~ p1(sK23(X24))
& p1(sK22(X24)) ) )
& ! [X27] :
( ~ r1(sK13,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p1(X30) ) )
| ( r1(X28,sK24(X28))
& ~ p1(sK24(X28)) ) ) )
& ! [X32] :
( ~ r1(sK13,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| p1(X34) ) )
| ( r1(X32,sK25(X32))
& ~ p1(sK25(X32)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK13),skolemize(X7,sK14(X4)),skolemize(X14,sK15(X11)),skolemize(X15,sK16(X10)),skolemize(X18,sK17),skolemize(X19,sK18),skolemize(X20,sK19),skolemize(X21,sK20),skolemize(X22,sK21),skolemize(X25,sK22(X24)),skolemize(X26,sK23(X24)),skolemize(X31,sK24(X28)),skolemize(X35,sK25(X32))],[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(f53,plain,
! [X24] :
( ~ r1(sK19,X24)
| p1(X24)
| p1(sK22(X24)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f54,plain,
! [X24] :
( ~ p1(sK23(X24))
| p1(X24)
| ~ r1(sK19,X24) ),
inference(cnf_transformation,[],[f26]) ).
fof(f55,plain,
! [X24] :
( r1(sK22(X24),sK23(X24))
| p1(X24)
| ~ r1(sK19,X24) ),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
! [X24] :
( r1(X24,sK22(X24))
| p1(X24)
| ~ r1(sK19,X24) ),
inference(cnf_transformation,[],[f26]) ).
fof(f57,plain,
! [X23] :
( ~ r1(sK21,X23)
| p1(X23) ),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
r1(sK19,sK21),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
~ p1(sK20),
inference(cnf_transformation,[],[f26]) ).
fof(f60,plain,
r1(sK19,sK20),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
r1(sK18,sK19),
inference(cnf_transformation,[],[f26]) ).
fof(f62,plain,
r1(sK17,sK18),
inference(cnf_transformation,[],[f26]) ).
fof(f63,plain,
r1(sK13,sK17),
inference(cnf_transformation,[],[f26]) ).
fof(f64,plain,
! [X10,X8,X9,X16,X17] :
( ~ r1(sK16(X10),X16)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| sP0(X10)
| ~ r1(sK13,X8)
| ~ r1(X16,X17)
| p1(X17)
| ~ p1(X16) ),
inference(cnf_transformation,[],[f26]) ).
fof(f65,plain,
! [X10,X8,X9] :
( ~ p1(sK16(X10))
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| sP0(X10)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f26]) ).
fof(f66,plain,
! [X10,X8,X9] :
( ~ r1(sK13,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| sP0(X10)
| r1(X10,sK16(X10)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
! [X10,X8,X9] :
( ~ r1(sK13,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| sP2(X10) ),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
! [X10,X8,X9] :
( ~ r1(sK13,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| sP3(X10) ),
inference(cnf_transformation,[],[f26]) ).
fof(f71,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ p1(sK14(X4))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| p1(X6)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f72,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ r1(sK13,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| p1(X6)
| r1(X4,sK14(X4)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f73,plain,
! [X0,X1] :
( ~ r1(sK17,X0)
| ~ r1(X0,X1)
| sP2(X1) ),
inference(resolution,[],[f69,f63]) ).
fof(f97,definition,
( spl26_5
<=> p1(sK19) ),
introduced(definition,[new_symbols(definition,[spl26_5])],[avatar_definition]) ).
fof(f98,plain,
( ~ p1(sK19)
| spl26_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f99,plain,
( p1(sK19)
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f137,plain,
( p1(sK19)
| r1(sK21,sK6(sK21))
| r1(sK19,sK7(sK19))
| ~ sP2(sK19) ),
inference(resolution,[],[f37,f58]) ).
fof(f139,definition,
( spl26_14
<=> sP2(sK19) ),
introduced(definition,[new_symbols(definition,[spl26_14])],[avatar_definition]) ).
fof(f140,plain,
( sP2(sK19)
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( ~ sP2(sK19)
| spl26_14 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f143,definition,
( spl26_15
<=> r1(sK19,sK7(sK19)) ),
introduced(definition,[new_symbols(definition,[spl26_15])],[avatar_definition]) ).
fof(f144,plain,
( ~ r1(sK19,sK7(sK19))
| spl26_15 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f145,plain,
( r1(sK19,sK7(sK19))
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f147,definition,
( spl26_16
<=> r1(sK21,sK6(sK21)) ),
introduced(definition,[new_symbols(definition,[spl26_16])],[avatar_definition]) ).
fof(f149,plain,
( r1(sK21,sK6(sK21))
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( ~ spl26_14
| spl26_15
| spl26_16
| spl26_5 ),
inference(avatar_split_clause,[],[f137,f97,f147,f143,f139]) ).
fof(f199,plain,
! [X0,X1] :
( ~ r1(sK17,X0)
| ~ r1(X0,X1)
| sP3(X1) ),
inference(resolution,[],[f70,f63]) ).
fof(f227,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK17,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p1(X4)
| r1(X2,sK14(X2)) ),
inference(resolution,[],[f72,f63]) ).
fof(f229,plain,
! [X0,X1] :
( ~ r1(sK17,X0)
| ~ r1(X0,X1)
| sP0(X1)
| r1(X1,sK16(X1)) ),
inference(resolution,[],[f66,f63]) ).
fof(f251,plain,
! [X2,X0,X1] :
( p1(sK7(X0))
| ~ r1(sK19,sK7(X0))
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK22(sK7(X0)),X2)
| p1(X2)
| ~ p1(sK22(sK7(X0)))
| ~ sP2(X0) ),
inference(resolution,[],[f56,f35]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( p1(sK16(X0))
| ~ r1(sK19,sK16(X0))
| ~ r1(X1,X2)
| ~ r1(X2,X0)
| sP0(X0)
| ~ r1(sK13,X1)
| ~ r1(sK22(sK16(X0)),X3)
| p1(X3)
| ~ p1(sK22(sK16(X0))) ),
inference(resolution,[],[f56,f64]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( p1(sK16(X0))
| ~ r1(sK19,sK16(X0))
| ~ r1(X1,X2)
| ~ r1(X2,X0)
| sP0(X0)
| ~ r1(sK13,X1)
| ~ r1(sK22(sK16(X0)),X3)
| p1(X3) ),
inference(forward_subsumption_resolution,[],[f252,f53]) ).
fof(f255,plain,
! [X2,X0,X1] :
( p1(sK7(X0))
| ~ r1(sK19,sK7(X0))
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK22(sK7(X0)),X2)
| p1(X2)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f251,f53]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22(sK16(X0)),X3)
| ~ r1(X1,X2)
| ~ r1(X2,X0)
| sP0(X0)
| ~ r1(sK13,X1)
| ~ r1(sK19,sK16(X0))
| p1(X3) ),
inference(forward_subsumption_resolution,[],[f254,f65]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ r1(sK22(sK7(X0)),X2)
| ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK19,sK7(X0))
| p1(X2)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f255,f36]) ).
fof(f288,plain,
! [X0] :
( p1(X0)
| ~ p1(sK19)
| ~ r1(sK19,X0)
| r1(sK21,sK4(sK21))
| sP1(sK19)
| ~ sP3(sK19) ),
inference(resolution,[],[f31,f58]) ).
fof(f289,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19,X0)
| r1(sK21,sK4(sK21))
| sP1(sK19)
| ~ sP3(sK19) )
| ~ spl26_5 ),
inference(forward_subsumption_resolution,[],[f288,f99]) ).
fof(f310,definition,
( spl26_41
<=> sP3(sK19) ),
introduced(definition,[new_symbols(definition,[spl26_41])],[avatar_definition]) ).
fof(f311,plain,
( sP3(sK19)
| ~ spl26_41 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( ~ sP3(sK19)
| spl26_41 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl26_42
<=> sP1(sK19) ),
introduced(definition,[new_symbols(definition,[spl26_42])],[avatar_definition]) ).
fof(f315,plain,
( ~ sP1(sK19)
| spl26_42 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f316,plain,
( sP1(sK19)
| ~ spl26_42 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl26_43
<=> r1(sK21,sK4(sK21)) ),
introduced(definition,[new_symbols(definition,[spl26_43])],[avatar_definition]) ).
fof(f320,plain,
( r1(sK21,sK4(sK21))
| ~ spl26_43 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f322,definition,
( spl26_44
<=> ! [X0] :
( p1(X0)
| ~ r1(sK19,X0) ) ),
introduced(definition,[new_symbols(definition,[spl26_44])],[avatar_definition]) ).
fof(f323,plain,
( ! [X0] :
( ~ r1(sK19,X0)
| p1(X0) )
| ~ spl26_44 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f324,plain,
( ~ spl26_41
| spl26_42
| spl26_43
| spl26_44
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f289,f97,f322,f318,f314,f310]) ).
fof(f362,plain,
! [X0] :
( ~ r1(sK18,X0)
| sP2(X0) ),
inference(resolution,[],[f73,f62]) ).
fof(f365,plain,
sP2(sK19),
inference(resolution,[],[f362,f61]) ).
fof(f370,plain,
( $false
| spl26_14 ),
inference(forward_subsumption_resolution,[],[f365,f141]) ).
fof(f371,plain,
spl26_14,
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f376,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| p1(sK9(X0))
| p1(sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(resolution,[],[f43,f45]) ).
fof(f377,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(f379,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(f380,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| r1(sK9(X0),sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(forward_subsumption_resolution,[],[f379,f42]) ).
fof(f381,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP0(X1) ),
inference(forward_subsumption_resolution,[],[f377,f42]) ).
fof(f382,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| p1(sK11(sK9(X0)))
| ~ sP0(X1) ),
inference(forward_subsumption_resolution,[],[f376,f42]) ).
fof(f384,plain,
! [X2,X0,X1] :
( ~ r1(sK9(X0),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| p1(sK9(X0))
| ~ sP1(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f38,f43]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ r1(sK9(X0),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| p1(sK9(X0))
| ~ sP1(X0) ),
inference(duplicate_literal_removal,[],[f384]) ).
fof(f388,plain,
! [X2,X0,X1] :
( ~ r1(sK9(X0),X1)
| ~ r1(X1,X2)
| p1(X2)
| ~ p1(X1)
| ~ sP1(X0) ),
inference(forward_subsumption_resolution,[],[f387,f42]) ).
fof(f391,plain,
! [X0] :
( ~ r1(sK18,X0)
| sP3(X0) ),
inference(resolution,[],[f199,f62]) ).
fof(f394,plain,
sP3(sK19),
inference(resolution,[],[f391,f61]) ).
fof(f399,plain,
( $false
| spl26_41 ),
inference(forward_subsumption_resolution,[],[f394,f312]) ).
fof(f400,plain,
spl26_41,
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f499,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(sK22(sK7(X0)),X2)
| p1(X2)
| ~ p1(sK22(sK7(X0)))
| ~ sP2(X0)
| p1(sK7(X0))
| ~ r1(sK19,sK7(X0)) ),
inference(resolution,[],[f32,f56]) ).
fof(f502,plain,
! [X2,X0,X1] :
( ~ r1(sK22(sK7(X0)),X2)
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| p1(X2)
| ~ p1(sK22(sK7(X0)))
| ~ sP2(X0)
| ~ r1(sK19,sK7(X0)) ),
inference(forward_subsumption_resolution,[],[f499,f33]) ).
fof(f518,definition,
( spl26_68
<=> p1(sK7(sK19)) ),
introduced(definition,[new_symbols(definition,[spl26_68])],[avatar_definition]) ).
fof(f519,plain,
( ~ p1(sK7(sK19))
| spl26_68 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f520,plain,
( p1(sK7(sK19))
| ~ spl26_68 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f564,plain,
( p1(sK6(sK21))
| ~ spl26_16 ),
inference(resolution,[],[f149,f57]) ).
fof(f575,definition,
( spl26_78
<=> p1(sK6(sK21)) ),
introduced(definition,[new_symbols(definition,[spl26_78])],[avatar_definition]) ).
fof(f577,plain,
( p1(sK6(sK21))
| ~ spl26_78 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f592,plain,
( spl26_78
| ~ spl26_16 ),
inference(avatar_split_clause,[],[f564,f147,f575]) ).
fof(f593,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f381,f44]) ).
fof(f595,plain,
! [X0] :
( r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f593]) ).
fof(f621,plain,
! [X2,X0,X1] :
( p1(sK16(X0))
| ~ r1(sK19,sK16(X0))
| ~ r1(X1,X2)
| ~ r1(X2,X0)
| sP0(X0)
| ~ r1(sK13,X1)
| ~ r1(sK19,sK16(X0))
| p1(sK23(sK16(X0))) ),
inference(resolution,[],[f55,f280]) ).
fof(f622,plain,
! [X0,X1] :
( p1(sK7(X0))
| ~ r1(sK19,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| p1(sK23(sK7(X0)))
| ~ p1(sK22(sK7(X0)))
| ~ sP2(X0)
| ~ r1(sK19,sK7(X0)) ),
inference(resolution,[],[f55,f502]) ).
fof(f628,plain,
! [X0,X1] :
( p1(sK7(X0))
| ~ r1(sK19,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| p1(sK23(sK7(X0)))
| ~ p1(sK22(sK7(X0)))
| ~ sP2(X0) ),
inference(duplicate_literal_removal,[],[f622]) ).
fof(f629,plain,
! [X2,X0,X1] :
( p1(sK16(X0))
| ~ r1(sK19,sK16(X0))
| ~ r1(X1,X2)
| ~ r1(X2,X0)
| sP0(X0)
| ~ r1(sK13,X1)
| p1(sK23(sK16(X0))) ),
inference(duplicate_literal_removal,[],[f621]) ).
fof(f634,plain,
! [X0,X1] :
( p1(sK7(X0))
| ~ r1(sK19,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| ~ p1(sK22(sK7(X0)))
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f628,f54]) ).
fof(f635,plain,
! [X2,X0,X1] :
( p1(sK16(X0))
| ~ r1(sK19,sK16(X0))
| ~ r1(X1,X2)
| ~ r1(X2,X0)
| sP0(X0)
| ~ r1(sK13,X1) ),
inference(forward_subsumption_resolution,[],[f629,f54]) ).
fof(f636,plain,
! [X0,X1] :
( p1(sK7(X0))
| ~ r1(sK19,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f634,f53]) ).
fof(f637,plain,
! [X2,X0,X1] :
( ~ r1(sK19,sK16(X0))
| ~ r1(X1,X2)
| ~ r1(X2,X0)
| sP0(X0)
| ~ r1(sK13,X1) ),
inference(forward_subsumption_resolution,[],[f635,f65]) ).
fof(f638,plain,
! [X0,X1] :
( ~ r1(sK19,sK7(X0))
| ~ p1(sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f636,f33]) ).
fof(f644,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK19,sK7(X0))
| p1(sK23(sK7(X0)))
| ~ sP2(X0)
| p1(sK7(X0))
| ~ r1(sK19,sK7(X0)) ),
inference(resolution,[],[f281,f55]) ).
fof(f648,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(sK19,sK7(X0))
| p1(sK23(sK7(X0)))
| ~ sP2(X0)
| p1(sK7(X0)) ),
inference(duplicate_literal_removal,[],[f644]) ).
fof(f649,plain,
! [X0,X1] :
( ~ r1(sK19,sK7(X0))
| r1(X1,sK6(X1))
| p1(X0)
| ~ r1(X0,X1)
| p1(sK23(sK7(X0)))
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f648,f36]) ).
fof(f656,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK9(X0),sK11(sK9(X0)))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f380,f44]) ).
fof(f658,plain,
! [X0] :
( r1(sK9(X0),sK11(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f656]) ).
fof(f659,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ r1(sK11(sK9(X0)),X1)
| p1(X1)
| ~ p1(sK11(sK9(X0)))
| ~ sP1(X0) ),
inference(resolution,[],[f658,f388]) ).
fof(f665,plain,
! [X0,X1] :
( ~ r1(sK11(sK9(X0)),X1)
| ~ sP0(X0)
| ~ sP1(X0)
| p1(X1)
| ~ p1(sK11(sK9(X0))) ),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f678,plain,
! [X0] :
( p1(X0)
| ~ p1(sK19)
| ~ r1(sK19,X0)
| r1(sK4(sK21),sK5(sK21))
| sP1(sK19)
| ~ sP3(sK19) ),
inference(resolution,[],[f30,f58]) ).
fof(f698,plain,
! [X0] :
( ~ sP1(X0)
| p1(sK11(sK9(X0)))
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f382,f44]) ).
fof(f700,plain,
! [X0] :
( p1(sK11(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f698]) ).
fof(f720,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK18,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p1(X3)
| r1(X1,sK14(X1)) ),
inference(resolution,[],[f227,f62]) ).
fof(f724,plain,
! [X2,X0,X1] :
( ~ r1(sK19,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p1(X2)
| r1(X0,sK14(X0)) ),
inference(resolution,[],[f720,f61]) ).
fof(f730,plain,
! [X0,X1] :
( ~ r1(sK21,X0)
| ~ r1(X0,X1)
| p1(X1)
| r1(sK21,sK14(sK21)) ),
inference(resolution,[],[f724,f58]) ).
fof(f744,definition,
( spl26_90
<=> r1(sK21,sK14(sK21)) ),
introduced(definition,[new_symbols(definition,[spl26_90])],[avatar_definition]) ).
fof(f746,plain,
( r1(sK21,sK14(sK21))
| ~ spl26_90 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f748,definition,
( spl26_91
<=> ! [X0,X1] :
( ~ r1(sK21,X0)
| p1(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl26_91])],[avatar_definition]) ).
fof(f749,plain,
( ! [X0,X1] :
( ~ r1(sK21,X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl26_91 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( spl26_90
| spl26_91 ),
inference(avatar_split_clause,[],[f730,f748,f744]) ).
fof(f767,plain,
( p1(sK20)
| ~ spl26_44 ),
inference(resolution,[],[f323,f60]) ).
fof(f772,plain,
( $false
| ~ spl26_44 ),
inference(forward_subsumption_resolution,[],[f767,f59]) ).
fof(f773,plain,
~ spl26_44,
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f774,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19,X0)
| r1(sK4(sK21),sK5(sK21))
| sP1(sK19)
| ~ sP3(sK19) )
| ~ spl26_5 ),
inference(forward_subsumption_resolution,[],[f678,f99]) ).
fof(f778,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19,X0)
| r1(sK4(sK21),sK5(sK21))
| ~ sP3(sK19) )
| ~ spl26_5
| spl26_42 ),
inference(forward_subsumption_resolution,[],[f774,f315]) ).
fof(f782,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19,X0)
| r1(sK4(sK21),sK5(sK21)) )
| ~ spl26_5
| ~ spl26_41
| spl26_42 ),
inference(forward_subsumption_resolution,[],[f778,f311]) ).
fof(f787,definition,
( spl26_96
<=> r1(sK4(sK21),sK5(sK21)) ),
introduced(definition,[new_symbols(definition,[spl26_96])],[avatar_definition]) ).
fof(f789,plain,
( r1(sK4(sK21),sK5(sK21))
| ~ spl26_96 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f790,plain,
( spl26_96
| spl26_44
| ~ spl26_5
| ~ spl26_41
| spl26_42 ),
inference(avatar_split_clause,[],[f782,f314,f310,f97,f322,f787]) ).
fof(f887,plain,
( p1(sK14(sK21))
| ~ spl26_90 ),
inference(resolution,[],[f746,f57]) ).
fof(f900,definition,
( spl26_112
<=> p1(sK14(sK21)) ),
introduced(definition,[new_symbols(definition,[spl26_112])],[avatar_definition]) ).
fof(f902,plain,
( p1(sK14(sK21))
| ~ spl26_112 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f914,plain,
( spl26_112
| ~ spl26_90 ),
inference(avatar_split_clause,[],[f887,f744,f900]) ).
fof(f977,plain,
! [X0] :
( r1(X0,sK16(X0))
| sP0(X0)
| ~ r1(sK18,X0) ),
inference(resolution,[],[f229,f62]) ).
fof(f981,plain,
! [X0,X1] :
( sP0(sK19)
| ~ r1(sK18,sK19)
| ~ r1(X0,X1)
| ~ r1(X1,sK19)
| sP0(sK19)
| ~ r1(sK13,X0) ),
inference(resolution,[],[f977,f637]) ).
fof(f1020,plain,
! [X0,X1] :
( sP0(sK19)
| ~ r1(sK18,sK19)
| ~ r1(X0,X1)
| ~ r1(X1,sK19)
| ~ r1(sK13,X0) ),
inference(duplicate_literal_removal,[],[f981]) ).
fof(f1061,plain,
! [X0,X1] :
( sP0(sK19)
| ~ r1(X0,X1)
| ~ r1(X1,sK19)
| ~ r1(sK13,X0) ),
inference(forward_subsumption_resolution,[],[f1020,f61]) ).
fof(f1071,definition,
( spl26_128
<=> sP0(sK19) ),
introduced(definition,[new_symbols(definition,[spl26_128])],[avatar_definition]) ).
fof(f1073,plain,
( sP0(sK19)
| ~ spl26_128 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1153,definition,
( spl26_147
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ r1(X1,sK19) ) ),
introduced(definition,[new_symbols(definition,[spl26_147])],[avatar_definition]) ).
fof(f1154,plain,
( ! [X0,X1] :
( ~ r1(sK13,X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK19) )
| ~ spl26_147 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1155,plain,
( spl26_147
| spl26_128 ),
inference(avatar_split_clause,[],[f1061,f1071,f1153]) ).
fof(f1192,plain,
( ! [X0] :
( ~ r1(sK17,X0)
| ~ r1(X0,sK19) )
| ~ spl26_147 ),
inference(resolution,[],[f1154,f63]) ).
fof(f1197,plain,
( ~ r1(sK18,sK19)
| ~ spl26_147 ),
inference(resolution,[],[f1192,f62]) ).
fof(f1202,plain,
( $false
| ~ spl26_147 ),
inference(forward_subsumption_resolution,[],[f1197,f61]) ).
fof(f1203,plain,
~ spl26_147,
inference(avatar_contradiction_clause,[],[f1202]) ).
fof(f1656,plain,
( ! [X0] :
( ~ r1(sK4(sK21),X0)
| p1(X0) )
| ~ spl26_43
| ~ spl26_91 ),
inference(resolution,[],[f320,f749]) ).
fof(f1683,definition,
( spl26_214
<=> p1(sK5(sK21)) ),
introduced(definition,[new_symbols(definition,[spl26_214])],[avatar_definition]) ).
fof(f1684,plain,
( ~ p1(sK5(sK21))
| spl26_214 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1685,plain,
( p1(sK5(sK21))
| ~ spl26_214 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1713,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| p1(sK19)
| ~ r1(sK19,X0)
| p1(sK23(sK7(sK19)))
| ~ sP2(sK19) )
| ~ spl26_15 ),
inference(resolution,[],[f145,f649]) ).
fof(f1714,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| p1(sK19)
| ~ r1(sK19,X0)
| ~ sP2(sK19) )
| ~ spl26_15 ),
inference(resolution,[],[f145,f638]) ).
fof(f1747,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(sK19,X0)
| ~ sP2(sK19) )
| spl26_5
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f1714,f98]) ).
fof(f1748,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK19,X0)
| p1(sK23(sK7(sK19)))
| ~ sP2(sK19) )
| spl26_5
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f1713,f98]) ).
fof(f1750,plain,
( ! [X0] :
( ~ p1(sK6(X0))
| ~ r1(sK19,X0) )
| spl26_5
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f1747,f140]) ).
fof(f1751,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK19,X0)
| p1(sK23(sK7(sK19))) )
| spl26_5
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f1748,f140]) ).
fof(f1753,definition,
( spl26_223
<=> p1(sK23(sK7(sK19))) ),
introduced(definition,[new_symbols(definition,[spl26_223])],[avatar_definition]) ).
fof(f1755,plain,
( p1(sK23(sK7(sK19)))
| ~ spl26_223 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1757,definition,
( spl26_224
<=> ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK19,X0) ) ),
introduced(definition,[new_symbols(definition,[spl26_224])],[avatar_definition]) ).
fof(f1758,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK19,X0) )
| ~ spl26_224 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1759,plain,
( spl26_223
| spl26_224
| spl26_5
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f1751,f143,f139,f97,f1757,f1753]) ).
fof(f1760,plain,
( p1(sK7(sK19))
| ~ r1(sK19,sK7(sK19))
| ~ spl26_223 ),
inference(resolution,[],[f1755,f54]) ).
fof(f1762,plain,
( ! [X0] :
( ~ r1(sK19,X0)
| r1(X0,sK6(X0))
| p1(sK19)
| ~ sP2(sK19) )
| ~ spl26_68 ),
inference(resolution,[],[f520,f36]) ).
fof(f1763,plain,
( ! [X0] :
( ~ r1(sK19,X0)
| r1(X0,sK6(X0))
| ~ sP2(sK19) )
| spl26_5
| ~ spl26_68 ),
inference(forward_subsumption_resolution,[],[f1762,f98]) ).
fof(f1764,plain,
( ! [X0] :
( ~ r1(sK19,X0)
| r1(X0,sK6(X0)) )
| spl26_5
| ~ spl26_14
| ~ spl26_68 ),
inference(forward_subsumption_resolution,[],[f1763,f140]) ).
fof(f1765,plain,
( spl26_224
| spl26_5
| ~ spl26_14
| ~ spl26_68 ),
inference(avatar_split_clause,[],[f1764,f518,f139,f97,f1757]) ).
fof(f1794,plain,
( ~ r1(sK19,sK21)
| p1(sK6(sK21))
| ~ spl26_224 ),
inference(resolution,[],[f1758,f57]) ).
fof(f1823,plain,
( ~ r1(sK19,sK21)
| spl26_5
| ~ spl26_14
| ~ spl26_15
| ~ spl26_224 ),
inference(forward_subsumption_resolution,[],[f1794,f1750]) ).
fof(f1865,plain,
( $false
| spl26_5
| ~ spl26_14
| ~ spl26_15
| ~ spl26_224 ),
inference(forward_subsumption_resolution,[],[f1823,f58]) ).
fof(f1866,plain,
( spl26_5
| ~ spl26_14
| ~ spl26_15
| ~ spl26_224 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
fof(f1921,plain,
( ! [X0] :
( r1(X0,sK7(X0))
| p1(X0)
| ~ r1(X0,sK21)
| ~ sP2(X0) )
| ~ spl26_78 ),
inference(resolution,[],[f577,f34]) ).
fof(f2031,plain,
( p1(sK19)
| ~ r1(sK19,sK21)
| ~ sP2(sK19)
| spl26_15
| ~ spl26_78 ),
inference(resolution,[],[f1921,f144]) ).
fof(f2761,plain,
! [X0] :
( ~ sP0(X0)
| ~ sP1(X0)
| p1(sK12(sK9(X0)))
| ~ p1(sK11(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f665,f595]) ).
fof(f2770,plain,
! [X0] :
( ~ sP0(X0)
| ~ sP1(X0)
| p1(sK12(sK9(X0)))
| ~ p1(sK11(sK9(X0))) ),
inference(duplicate_literal_removal,[],[f2761]) ).
fof(f2773,plain,
! [X0] :
( p1(sK12(sK9(X0)))
| ~ sP1(X0)
| ~ sP0(X0) ),
inference(forward_subsumption_resolution,[],[f2770,f700]) ).
fof(f2774,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ r1(X1,sK9(X0))
| p1(sK9(X0))
| ~ r1(X2,X1)
| ~ sP0(X2) ),
inference(resolution,[],[f2773,f46]) ).
fof(f2775,plain,
! [X2,X0,X1] :
( ~ r1(X1,sK9(X0))
| ~ sP0(X0)
| ~ sP1(X0)
| ~ r1(X2,X1)
| ~ sP0(X2) ),
inference(forward_subsumption_resolution,[],[f2774,f42]) ).
fof(f2777,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ sP1(X0)
| ~ r1(X1,sK8(X0))
| ~ sP0(X1)
| ~ sP1(X0) ),
inference(resolution,[],[f2775,f43]) ).
fof(f2778,plain,
! [X0,X1] :
( ~ r1(X1,sK8(X0))
| ~ sP1(X0)
| ~ sP0(X0)
| ~ sP0(X1) ),
inference(duplicate_literal_removal,[],[f2777]) ).
fof(f2779,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(resolution,[],[f2778,f44]) ).
fof(f2781,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f2779]) ).
fof(f2886,plain,
( ! [X0,X1] :
( ~ r1(X1,sK21)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0)
| sP1(X1)
| ~ sP3(X1) )
| ~ spl26_214 ),
inference(resolution,[],[f1685,f29]) ).
fof(f2946,plain,
( p1(sK5(sK21))
| ~ spl26_43
| ~ spl26_91
| ~ spl26_96 ),
inference(resolution,[],[f1656,f789]) ).
fof(f4194,plain,
( ! [X0] :
( ~ p1(sK19)
| p1(X0)
| ~ r1(sK19,X0)
| sP1(sK19)
| ~ sP3(sK19) )
| ~ spl26_214 ),
inference(resolution,[],[f2886,f58]) ).
fof(f4195,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19,X0)
| sP1(sK19)
| ~ sP3(sK19) )
| ~ spl26_5
| ~ spl26_214 ),
inference(forward_subsumption_resolution,[],[f4194,f99]) ).
fof(f4196,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19,X0)
| ~ sP3(sK19) )
| ~ spl26_5
| spl26_42
| ~ spl26_214 ),
inference(forward_subsumption_resolution,[],[f4195,f315]) ).
fof(f4197,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK19,X0) )
| ~ spl26_5
| ~ spl26_41
| spl26_42
| ~ spl26_214 ),
inference(forward_subsumption_resolution,[],[f4196,f311]) ).
fof(f4198,plain,
( spl26_44
| ~ spl26_5
| ~ spl26_41
| spl26_42
| ~ spl26_214 ),
inference(avatar_split_clause,[],[f4197,f1683,f314,f310,f97,f322]) ).
fof(f4200,plain,
( $false
| ~ spl26_43
| ~ spl26_91
| ~ spl26_96
| spl26_214 ),
inference(forward_subsumption_resolution,[],[f2946,f1684]) ).
fof(f4201,plain,
( ~ spl26_43
| ~ spl26_91
| ~ spl26_96
| spl26_214 ),
inference(avatar_contradiction_clause,[],[f4200]) ).
fof(f4253,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,sK21)
| ~ r1(sK21,X3)
| ~ r1(X3,X4)
| p1(X4)
| ~ r1(sK13,X0) )
| ~ spl26_112 ),
inference(resolution,[],[f902,f71]) ).
fof(f4255,definition,
( spl26_505
<=> ! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ r1(X2,sK21)
| ~ r1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl26_505])],[avatar_definition]) ).
fof(f4256,plain,
( ! [X2,X0,X1] :
( ~ r1(sK13,X0)
| ~ r1(X0,X1)
| ~ r1(X2,sK21)
| ~ r1(X1,X2) )
| ~ spl26_505 ),
inference(avatar_component_clause,[],[f4255]) ).
fof(f4257,plain,
( spl26_91
| spl26_505
| ~ spl26_112 ),
inference(avatar_split_clause,[],[f4253,f900,f4255,f748]) ).
fof(f4258,plain,
( ! [X0,X1] :
( ~ r1(sK17,X0)
| ~ r1(X1,sK21)
| ~ r1(X0,X1) )
| ~ spl26_505 ),
inference(resolution,[],[f4256,f63]) ).
fof(f4270,plain,
( ! [X0] :
( ~ r1(sK18,X0)
| ~ r1(X0,sK21) )
| ~ spl26_505 ),
inference(resolution,[],[f4258,f62]) ).
fof(f4281,plain,
( ~ r1(sK19,sK21)
| ~ spl26_505 ),
inference(resolution,[],[f4270,f61]) ).
fof(f4296,plain,
( $false
| ~ spl26_505 ),
inference(forward_subsumption_resolution,[],[f4281,f58]) ).
fof(f4297,plain,
~ spl26_505,
inference(avatar_contradiction_clause,[],[f4296]) ).
fof(f4391,plain,
( ~ sP0(sK19)
| ~ spl26_42 ),
inference(resolution,[],[f316,f2781]) ).
fof(f4392,plain,
( $false
| ~ spl26_42
| ~ spl26_128 ),
inference(forward_subsumption_resolution,[],[f4391,f1073]) ).
fof(f4393,plain,
( ~ spl26_42
| ~ spl26_128 ),
inference(avatar_contradiction_clause,[],[f4392]) ).
fof(f4408,plain,
( ~ r1(sK19,sK21)
| ~ sP2(sK19)
| spl26_5
| spl26_15
| ~ spl26_78 ),
inference(forward_subsumption_resolution,[],[f2031,f98]) ).
fof(f4458,plain,
( ~ sP2(sK19)
| spl26_5
| spl26_15
| ~ spl26_78 ),
inference(forward_subsumption_resolution,[],[f4408,f58]) ).
fof(f4467,plain,
( $false
| spl26_5
| ~ spl26_14
| spl26_15
| ~ spl26_78 ),
inference(forward_subsumption_resolution,[],[f4458,f140]) ).
fof(f4468,plain,
( spl26_5
| ~ spl26_14
| spl26_15
| ~ spl26_78 ),
inference(avatar_contradiction_clause,[],[f4467]) ).
fof(f4479,plain,
( ~ r1(sK19,sK7(sK19))
| spl26_68
| ~ spl26_223 ),
inference(forward_subsumption_resolution,[],[f1760,f519]) ).
fof(f4480,plain,
( $false
| ~ spl26_15
| spl26_68
| ~ spl26_223 ),
inference(forward_subsumption_resolution,[],[f4479,f145]) ).
fof(f4481,plain,
( ~ spl26_15
| spl26_68
| ~ spl26_223 ),
inference(avatar_contradiction_clause,[],[f4480]) ).
cnf(s6,plain,
( spl26_5
| ~ spl26_14
| spl26_15
| spl26_16 ),
inference(sat_conversion,[],[f150]) ).
cnf(s21,plain,
( ~ spl26_5
| ~ spl26_41
| spl26_42
| spl26_43
| spl26_44 ),
inference(sat_conversion,[],[f324]) ).
cnf(s26,plain,
spl26_14,
inference(sat_conversion,[],[f371]) ).
cnf(s28,plain,
spl26_41,
inference(sat_conversion,[],[f400]) ).
cnf(s49,plain,
( ~ spl26_16
| spl26_78 ),
inference(sat_conversion,[],[f592]) ).
cnf(s54,plain,
( spl26_90
| spl26_91 ),
inference(sat_conversion,[],[f750]) ).
cnf(s57,plain,
~ spl26_44,
inference(sat_conversion,[],[f773]) ).
cnf(s58,plain,
( ~ spl26_5
| ~ spl26_41
| spl26_42
| spl26_44
| spl26_96 ),
inference(sat_conversion,[],[f790]) ).
cnf(s75,plain,
( ~ spl26_90
| spl26_112 ),
inference(sat_conversion,[],[f914]) ).
cnf(s99,plain,
( spl26_128
| spl26_147 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s105,plain,
~ spl26_147,
inference(sat_conversion,[],[f1203]) ).
cnf(s166,plain,
( spl26_5
| ~ spl26_14
| ~ spl26_15
| spl26_223
| spl26_224 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s167,plain,
( spl26_5
| ~ spl26_14
| ~ spl26_68
| spl26_224 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s176,plain,
( spl26_5
| ~ spl26_14
| ~ spl26_15
| ~ spl26_224 ),
inference(sat_conversion,[],[f1866]) ).
cnf(s412,plain,
( ~ spl26_5
| ~ spl26_41
| spl26_42
| spl26_44
| ~ spl26_214 ),
inference(sat_conversion,[],[f4198]) ).
cnf(s413,plain,
( ~ spl26_43
| ~ spl26_91
| ~ spl26_96
| spl26_214 ),
inference(sat_conversion,[],[f4201]) ).
cnf(s422,plain,
( spl26_91
| ~ spl26_112
| spl26_505 ),
inference(sat_conversion,[],[f4257]) ).
cnf(s423,plain,
~ spl26_505,
inference(sat_conversion,[],[f4297]) ).
cnf(s434,plain,
( ~ spl26_42
| ~ spl26_128 ),
inference(sat_conversion,[],[f4393]) ).
cnf(s446,plain,
( spl26_5
| ~ spl26_14
| spl26_15
| ~ spl26_78 ),
inference(sat_conversion,[],[f4468]) ).
cnf(s450,plain,
( ~ spl26_15
| spl26_68
| ~ spl26_223 ),
inference(sat_conversion,[],[f4481]) ).
cnf(s451,plain,
( spl26_91
| ~ spl26_112 ),
inference(rat,[],[s422,s423]) ).
cnf(s454,plain,
spl26_128,
inference(rat,[],[s99,s105]) ).
cnf(s455,plain,
~ spl26_42,
inference(rat,[],[s434,s454]) ).
cnf(s473,plain,
( ~ spl26_5
| ~ spl26_41
| spl26_44
| spl26_96 ),
inference(rat,[],[s58,s455]) ).
cnf(s487,plain,
( ~ spl26_5
| spl26_43 ),
inference(rat,[],[s21,s57,s455,s28]) ).
cnf(s493,plain,
( spl26_5
| spl26_15
| spl26_16 ),
inference(rat,[],[s6,s26]) ).
cnf(s494,plain,
( spl26_15
| spl26_5 ),
inference(rat,[],[s49,s493,s446,s26]) ).
cnf(s495,plain,
( ~ spl26_15
| spl26_224
| spl26_5 ),
inference(rat,[],[s450,s167,s166,s26]) ).
cnf(s496,plain,
( ~ spl26_15
| spl26_5 ),
inference(rat,[],[s495,s176,s26]) ).
cnf(s497,plain,
spl26_5,
inference(rat,[],[s496,s494]) ).
cnf(s498,plain,
~ spl26_214,
inference(rat,[],[s412,s28,s57,s455,s497]) ).
cnf(s502,plain,
spl26_96,
inference(rat,[],[s473,s28,s57,s497]) ).
cnf(s504,plain,
spl26_43,
inference(rat,[],[s487,s497]) ).
cnf(s505,plain,
~ spl26_91,
inference(rat,[],[s413,s498,s502,s504]) ).
cnf(s506,plain,
~ spl26_112,
inference(rat,[],[s451,s505]) ).
cnf(s508,plain,
spl26_90,
inference(rat,[],[s54,s505]) ).
cnf(s509,plain,
$false,
inference(rat,[],[s75,s506,s508]) ).
fof(f4482,plain,
$false,
inference(avatar_sat_refutation,[],[s509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL658+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 16:21:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.30/2.13 % (388600)Detected formulas, will run a generic FOF schedule.
% 5.30/2.13 % (388668)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2565372647:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.30/2.13 % (388668)Instruction limit reached!
% 5.30/2.13 % (388668)------------------------------
% 5.30/2.13 % (388668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388668)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388668)Termination reason: Instruction limit
% 5.30/2.13 % (388668)Termination phase: Saturation
% 5.30/2.13 % (388668)Time elapsed: 0.034 s
% 5.30/2.13 % (388668)Peak memory usage: 88 MB
% 5.30/2.13 % (388668)Instructions burned: 122 (million)
% 5.30/2.13 % (388664)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=2443059232:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.30/2.13 % (388666)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=3877381715:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.30/2.13 % (388665)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=414726442:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.30/2.13 % (388667)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3714151052:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.30/2.13 % (388670)dis-21_1_sil=8000:lcm=predicate:random_seed=1228958625:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.30/2.13 % (388669)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1077269824:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.30/2.13 % (388670)Instruction limit reached!
% 5.30/2.13 % (388670)------------------------------
% 5.30/2.13 % (388670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388670)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388670)Termination reason: Instruction limit
% 5.30/2.13 % (388670)Termination phase: Saturation
% 5.30/2.13 % (388670)Time elapsed: 0.061 s
% 5.30/2.13 % (388670)Peak memory usage: 88 MB
% 5.30/2.13 % (388670)Instructions burned: 130 (million)
% 5.30/2.13 % (388667)Instruction limit reached!
% 5.30/2.13 % (388667)------------------------------
% 5.30/2.13 % (388667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388667)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388667)Termination reason: Instruction limit
% 5.30/2.13 % (388667)Termination phase: Saturation
% 5.30/2.13 % (388667)Time elapsed: 0.061 s
% 5.30/2.13 % (388667)Peak memory usage: 90 MB
% 5.30/2.13 % (388667)Instructions burned: 109 (million)
% 5.30/2.13 % (388669)Instruction limit reached!
% 5.30/2.13 % (388669)------------------------------
% 5.30/2.13 % (388669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388669)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388669)Termination reason: Instruction limit
% 5.30/2.13 % (388669)Termination phase: Saturation
% 5.30/2.13 % (388669)Time elapsed: 0.085 s
% 5.30/2.13 % (388669)Peak memory usage: 89 MB
% 5.30/2.13 % (388669)Instructions burned: 139 (million)
% 5.30/2.13 % (388672)lrs+10_1_sil=8000:sp=occurrence:random_seed=991931570:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.30/2.13 % (388672)Instruction limit reached!
% 5.30/2.13 % (388672)------------------------------
% 5.30/2.13 % (388672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388672)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388672)Termination reason: Instruction limit
% 5.30/2.13 % (388672)Termination phase: Saturation
% 5.30/2.13 % (388672)Time elapsed: 0.092 s
% 5.30/2.13 % (388672)Peak memory usage: 92 MB
% 5.30/2.13 % (388672)Instructions burned: 288 (million)
% 5.30/2.13 % (388680)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1864665504:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.30/2.13 % (388679)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4071366264:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.30/2.13 % (388682)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=1633140651:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.30/2.13 % (388679)Instruction limit reached!
% 5.30/2.13 % (388679)------------------------------
% 5.30/2.13 % (388679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388679)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388679)Termination reason: Instruction limit
% 5.30/2.13 % (388679)Termination phase: Saturation
% 5.30/2.13 % (388679)Time elapsed: 0.073 s
% 5.30/2.13 % (388679)Peak memory usage: 88 MB
% 5.30/2.13 % (388679)Instructions burned: 158 (million)
% 5.30/2.13 % (388683)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=484940130:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.30/2.13 % (388682)Instruction limit reached!
% 5.30/2.13 % (388682)------------------------------
% 5.30/2.13 % (388682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388682)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388682)Termination reason: Instruction limit
% 5.30/2.13 % (388682)Termination phase: Saturation
% 5.30/2.13 % (388682)Time elapsed: 0.113 s
% 5.30/2.13 % (388682)Peak memory usage: 88 MB
% 5.30/2.13 % (388682)Instructions burned: 248 (million)
% 5.30/2.13 % (388680)Instruction limit reached!
% 5.30/2.13 % (388680)------------------------------
% 5.30/2.13 % (388680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388680)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388680)Termination reason: Instruction limit
% 5.30/2.13 % (388680)Termination phase: Saturation
% 5.30/2.13 % (388680)Time elapsed: 0.166 s
% 5.30/2.13 % (388680)Peak memory usage: 90 MB
% 5.30/2.13 % (388680)Instructions burned: 325 (million)
% 5.30/2.13 % (388683)Instruction limit reached!
% 5.30/2.13 % (388683)------------------------------
% 5.30/2.13 % (388683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388683)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388683)Termination reason: Instruction limit
% 5.30/2.13 % (388683)Termination phase: Saturation
% 5.30/2.13 % (388683)Time elapsed: 0.089 s
% 5.30/2.13 % (388683)Peak memory usage: 91 MB
% 5.30/2.13 % (388683)Instructions burned: 295 (million)
% 5.30/2.13 % (388687)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=564972292:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.30/2.13 % (388689)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1857627109:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.30/2.13 % (388690)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=670053641:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.30/2.13 % (388691)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3255782463:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.30/2.13 % (388689)Instruction limit reached!
% 5.30/2.13 % (388689)------------------------------
% 5.30/2.13 % (388689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388689)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388689)Termination reason: Instruction limit
% 5.30/2.13 % (388689)Termination phase: Saturation
% 5.30/2.13 % (388689)Time elapsed: 0.066 s
% 5.30/2.13 % (388689)Peak memory usage: 90 MB
% 5.30/2.13 % (388689)Instructions burned: 115 (million)
% 5.30/2.13 % (388691)Instruction limit reached!
% 5.30/2.13 % (388691)------------------------------
% 5.30/2.13 % (388691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388691)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388691)Termination reason: Instruction limit
% 5.30/2.13 % (388691)Termination phase: Saturation
% 5.30/2.13 % (388691)Time elapsed: 0.030 s
% 5.30/2.13 % (388691)Peak memory usage: 88 MB
% 5.30/2.13 % (388691)Instructions burned: 118 (million)
% 5.30/2.13 % (388690)Instruction limit reached!
% 5.30/2.13 % (388690)------------------------------
% 5.30/2.13 % (388690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388690)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388690)Termination reason: Instruction limit
% 5.30/2.13 % (388690)Termination phase: Saturation
% 5.30/2.13 % (388690)Time elapsed: 0.074 s
% 5.30/2.13 % (388690)Peak memory usage: 89 MB
% 5.30/2.13 % (388690)Instructions burned: 127 (million)
% 5.30/2.13 % (388696)lrs+10_1_sil=8000:sp=occurrence:random_seed=2655854556:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.30/2.13 % (388697)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4036924387:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.30/2.13 % (388698)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1043630789:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.30/2.13 % (388664)First to succeed.
% 5.30/2.13 % (388664)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-388600"
% 5.30/2.13 % (388697)Instruction limit reached!
% 5.30/2.13 % (388697)------------------------------
% 5.30/2.13 % (388697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388697)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388697)Termination reason: Instruction limit
% 5.30/2.13 % (388697)Termination phase: Saturation
% 5.30/2.13 % (388697)Time elapsed: 0.241 s
% 5.30/2.13 % (388697)Peak memory usage: 95 MB
% 5.30/2.13 % (388697)Instructions burned: 439 (million)
% 5.30/2.13 % (388696)Instruction limit reached!
% 5.30/2.13 % (388696)------------------------------
% 5.30/2.13 % (388696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/2.13 % (388696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/2.13 % (388696)CaDiCaL version: 2.1.3
% 5.30/2.13 % (388696)Termination reason: Instruction limit
% 5.30/2.13 % (388696)Termination phase: Saturation
% 5.30/2.13 % (388696)Time elapsed: 0.281 s
% 5.30/2.13 % (388696)Peak memory usage: 98 MB
% 5.30/2.13 % (388696)Instructions burned: 911 (million)
% 5.30/2.13 % (388703)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2384999713:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 5.30/2.13 % (388702)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=407418690:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 5.30/2.13 % (388664)Refutation found. Thanks to Tanya!
% 5.30/2.13 % SZS status Theorem for theBenchmark
% 5.30/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.64/2.32 % (388664)------------------------------
% 9.64/2.32 % (388664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.32 % (388664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.32 % (388664)CaDiCaL version: 2.1.3
% 9.64/2.32 % (388664)Termination reason: Refutation
% 9.64/2.32 % (388664)Time elapsed: 0.860 s
% 9.64/2.32 % (388664)Peak memory usage: 132 MB
% 9.64/2.32 % (388664)Instructions burned: 1253 (million)
% 9.64/2.32 % (388664)------------------------------
% 9.64/2.32 % (388664)------------------------------
% 9.64/2.32 % (388600)Success in time 1.278 s
% 9.64/2.32 % Vampire exiting
%------------------------------------------------------------------------------