%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL642+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:53:44 AM UTC 2026
% Result : Theorem 5.26s 1.32s
% Output : Refutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 26
% Syntax : Number of formulae : 262 ( 15 unt; 25 def)
% Number of atoms : 1855 ( 0 equ)
% Maximal formula atoms : 107 ( 7 avg)
% Number of connectives : 2765 (1172 ~;1246 |; 328 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 20 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 5 con; 0-1 aty)
% Number of variables : 702 ( 0 sgn 564 !; 138 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ! [X52] :
( ~ r1(X0,X52)
| p2(X52)
| ~ ! [X53] :
( ~ r1(X52,X53)
| p2(X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ! [X52] :
( ~ r1(X0,X52)
| p2(X52)
| ~ ! [X53] :
( ~ r1(X52,X53)
| p2(X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ? [X22] :
( r1(X0,X22)
& ( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ! [X52] :
( ~ r1(X0,X52)
| p2(X52)
| ? [X53] :
( r1(X52,X53)
& ~ p2(X53)
& ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ? [X22] :
( r1(X0,X22)
& ( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ! [X52] :
( ~ r1(X0,X52)
| p2(X52)
| ? [X53] :
( r1(X52,X53)
& ~ p2(X53)
& ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,definition,
! [X33] :
( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ~ sP0(X33) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f8,definition,
! [X32] :
( ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ~ sP1(X32) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( sP0(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ~ sP2(X32) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X22] :
( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ~ sP3(X22) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X0] :
( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ~ sP4(X0) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X0] :
( ( ( sP4(X0)
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ~ sP5(X0) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f13,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( sP5(X0)
| ? [X22] :
( r1(X0,X22)
& ( sP3(X22)
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| sP2(X32)
| sP1(X32)
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ! [X52] :
( ~ r1(X0,X52)
| p2(X52)
| ? [X53] :
( r1(X52,X53)
& ~ p2(X53)
& ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) ) ),
inference(definition_folding,[],[f6,f12,f11,f10,f9,f8,f7]) ).
fof(f14,plain,
! [X0] :
( ( ( sP4(X0)
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
! [X0] :
( ( ( sP4(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ? [X4] :
( r1(X0,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X0] :
( ( ( sP4(X0)
| ( r1(X0,sK6(X0))
& ~ p2(sK6(X0))
& ! [X2] :
( ~ r1(sK6(X0),X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ( r1(X0,sK7(X0))
& r1(sK7(X0),sK8(X0))
& ~ p2(sK8(X0))
& p2(sK7(X0)) ) ) )
| ~ sP5(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X1,sK6(X0)),skolemize(X4,sK7(X0)),skolemize(X5,sK8(X0))],[f15]) ).
fof(f17,plain,
! [X0] :
( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ( r1(X2,sK9(X2))
& r1(sK9(X2),sK10(X2))
& ~ p2(sK10(X2))
& p2(sK9(X2)) ) ) )
| ~ sP4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X3,sK9(X2)),skolemize(X4,sK10(X2))],[f18]) ).
fof(f20,plain,
! [X22] :
( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ~ sP3(X22) ),
inference(nnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ( r1(X0,sK11(X0))
& r1(sK11(X0),sK12(X0))
& ~ p2(sK12(X0))
& ! [X3] :
( ~ r1(sK12(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK13(X5))
& r1(sK13(X5),sK14(X5))
& ~ p2(sK14(X5))
& p2(sK13(X5)) ) ) )
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0)),skolemize(X6,sK13(X5)),skolemize(X7,sK14(X5))],[f21]) ).
fof(f23,plain,
! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( sP0(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ~ sP2(X32) ),
inference(nnf_transformation,[],[f9]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP0(X1)
| ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ? [X5] :
( r1(X1,X5)
& ? [X6] :
( r1(X5,X6)
& ~ p2(X6) )
& p2(X5) ) ) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP0(X1)
| ( r1(X1,sK15(X1))
& ~ p2(sK15(X1))
& ! [X3] :
( ~ r1(sK15(X1),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ( r1(X1,sK16(X1))
& r1(sK16(X1),sK17(X1))
& ~ p2(sK17(X1))
& p2(sK16(X1)) ) ) ) )
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X2,sK15(X1)),skolemize(X5,sK16(X1)),skolemize(X6,sK17(X1))],[f24]) ).
fof(f26,plain,
! [X32] :
( ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ~ sP1(X32) ),
inference(nnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ( r1(X0,sK18(X0))
& r1(sK18(X0),sK19(X0))
& ~ p2(sK19(X0))
& ! [X3] :
( ~ r1(sK19(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK20(X5))
& r1(sK20(X5),sK21(X5))
& ~ p2(sK21(X5))
& p2(sK20(X5)) ) ) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21]),skolemize(X1,sK18(X0)),skolemize(X2,sK19(X0)),skolemize(X6,sK20(X5)),skolemize(X7,sK21(X5))],[f27]) ).
fof(f32,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( sP5(X0)
| ? [X13] :
( r1(X0,X13)
& ( sP3(X13)
| ( ~ p2(X13)
& ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(X13,X16)
| sP2(X16)
| sP1(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) ) ) )
& ! [X19] :
( ~ r1(X0,X19)
| p2(X19)
| ? [X20] :
( r1(X19,X20)
& ~ p2(X20)
& ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| p2(X22) )
| ~ p2(X21) ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f33,plain,
( r1(sK24,sK25)
& ~ p3(sK25)
& ! [X2] :
( ~ r1(sK24,X2)
| p3(X2)
| ( r1(X2,sK26(X2))
& r1(sK26(X2),sK27(X2))
& ~ p3(sK27(X2))
& p3(sK26(X2)) ) )
& r1(sK24,sK28)
& ~ p2(sK28)
& ! [X6] :
( ~ r1(sK24,X6)
| p2(X6)
| ( r1(X6,sK29(X6))
& r1(sK29(X6),sK30(X6))
& ~ p2(sK30(X6))
& p2(sK29(X6)) ) )
& r1(sK24,sK31)
& ~ p1(sK31)
& ! [X10] :
( ~ r1(sK24,X10)
| p1(X10)
| ( r1(X10,sK32(X10))
& r1(sK32(X10),sK33(X10))
& ~ p1(sK33(X10))
& p1(sK32(X10)) ) )
& ( sP5(sK24)
| ( r1(sK24,sK34)
& ( sP3(sK34)
| ( ~ p2(sK34)
& ! [X14] :
( ~ r1(sK34,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(sK34,X16)
| sP2(X16)
| sP1(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) ) ) )
& ! [X19] :
( ~ r1(sK24,X19)
| p2(X19)
| ( r1(X19,sK35(X19))
& ~ p2(sK35(X19))
& ! [X21] :
( ~ r1(sK35(X19),X21)
| ! [X22] :
( ~ r1(X21,X22)
| p2(X22) )
| ~ p2(X21) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35]),skolemize(X0,sK24),skolemize(X1,sK25),skolemize(X3,sK26(X2)),skolemize(X4,sK27(X2)),skolemize(X5,sK28),skolemize(X7,sK29(X6)),skolemize(X8,sK30(X6)),skolemize(X9,sK31),skolemize(X11,sK32(X10)),skolemize(X12,sK33(X10)),skolemize(X13,sK34),skolemize(X20,sK35(X19))],[f32]) ).
fof(f38,plain,
! [X2,X3,X0] :
( ~ r1(sK6(X0),X2)
| sP4(X0)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0] :
( ~ p2(sK6(X0))
| sP4(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f40,plain,
! [X0] :
( r1(X0,sK6(X0))
| sP4(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(X2)
| p2(sK9(X2))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ p2(sK10(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(X2)
| r1(sK9(X2),sK10(X2))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(X2)
| r1(X2,sK9(X2))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| p2(X5)
| p2(sK13(X5))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
! [X0,X5] :
( ~ p2(sK14(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| p2(X5)
| r1(sK13(X5),sK14(X5))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f48,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| p2(X5)
| r1(X5,sK13(X5))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f49,plain,
! [X3,X0,X4] :
( ~ r1(sK12(X0),X3)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0] :
( ~ p2(sK12(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f51,plain,
! [X0] :
( r1(sK11(X0),sK12(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X0] :
( r1(X0,sK11(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f53,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| p2(sK16(X1))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f54,plain,
! [X0,X1] :
( ~ p2(sK17(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| r1(sK16(X1),sK17(X1))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| r1(X1,sK16(X1))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| p2(X5)
| p2(sK20(X5))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f61,plain,
! [X0,X5] :
( ~ p2(sK21(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f62,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| p2(X5)
| r1(sK20(X5),sK21(X5))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f63,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| p2(X5)
| r1(X5,sK20(X5))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f72,plain,
! [X21,X19,X22] :
( ~ r1(sK35(X19),X21)
| p2(X19)
| ~ r1(sK24,X19)
| ~ r1(X21,X22)
| p2(X22)
| ~ p2(X21) ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
! [X19] :
( ~ p2(sK35(X19))
| p2(X19)
| ~ r1(sK24,X19) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X19] :
( r1(X19,sK35(X19))
| p2(X19)
| ~ r1(sK24,X19) ),
inference(cnf_transformation,[],[f33]) ).
fof(f75,plain,
! [X18,X16,X17] :
( sP5(sK24)
| ~ r1(sK34,X16)
| sP2(X16)
| sP1(X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p2(X18)
| ~ p2(X17) ),
inference(cnf_transformation,[],[f33]) ).
fof(f76,plain,
! [X16] :
( sP5(sK24)
| ~ r1(sK34,X16)
| sP2(X16)
| sP1(X16)
| ~ p2(X16) ),
inference(cnf_transformation,[],[f33]) ).
fof(f77,plain,
! [X14,X15] :
( sP5(sK24)
| sP3(sK34)
| ~ r1(sK34,X14)
| ~ r1(X14,X15)
| p2(X15)
| ~ p2(X14) ),
inference(cnf_transformation,[],[f33]) ).
fof(f78,plain,
( sP5(sK24)
| sP3(sK34)
| ~ p2(sK34) ),
inference(cnf_transformation,[],[f33]) ).
fof(f79,plain,
( sP5(sK24)
| r1(sK24,sK34) ),
inference(cnf_transformation,[],[f33]) ).
fof(f86,plain,
! [X6] :
( ~ r1(sK24,X6)
| p2(X6)
| p2(sK29(X6)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f87,plain,
! [X6] :
( ~ p2(sK30(X6))
| p2(X6)
| ~ r1(sK24,X6) ),
inference(cnf_transformation,[],[f33]) ).
fof(f88,plain,
! [X6] :
( r1(sK29(X6),sK30(X6))
| p2(X6)
| ~ r1(sK24,X6) ),
inference(cnf_transformation,[],[f33]) ).
fof(f89,plain,
! [X6] :
( r1(X6,sK29(X6))
| p2(X6)
| ~ r1(sK24,X6) ),
inference(cnf_transformation,[],[f33]) ).
fof(f90,plain,
~ p2(sK28),
inference(cnf_transformation,[],[f33]) ).
fof(f91,plain,
r1(sK24,sK28),
inference(cnf_transformation,[],[f33]) ).
fof(f99,definition,
( spl36_1
<=> ! [X18,X16,X17] :
( ~ r1(sK34,X16)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP1(X16)
| sP2(X16) ) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f100,plain,
( ! [X18,X16,X17] :
( ~ r1(sK34,X16)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP1(X16)
| sP2(X16) )
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,definition,
( spl36_2
<=> sP5(sK24) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f104,plain,
( sP5(sK24)
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f75,f102,f99]) ).
fof(f107,definition,
( spl36_3
<=> ! [X16] :
( ~ r1(sK34,X16)
| ~ p2(X16)
| sP1(X16)
| sP2(X16) ) ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f108,plain,
( ! [X16] :
( ~ r1(sK34,X16)
| ~ p2(X16)
| sP1(X16)
| sP2(X16) )
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( spl36_3
| spl36_2 ),
inference(avatar_split_clause,[],[f76,f102,f107]) ).
fof(f111,definition,
( spl36_4
<=> ! [X14,X15] :
( ~ r1(sK34,X14)
| ~ p2(X14)
| p2(X15)
| ~ r1(X14,X15) ) ),
introduced(definition,[new_symbols(definition,[spl36_4])],[avatar_definition]) ).
fof(f112,plain,
( ! [X14,X15] :
( ~ r1(sK34,X14)
| ~ p2(X14)
| p2(X15)
| ~ r1(X14,X15) )
| ~ spl36_4 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,definition,
( spl36_5
<=> sP3(sK34) ),
introduced(definition,[new_symbols(definition,[spl36_5])],[avatar_definition]) ).
fof(f116,plain,
( sP3(sK34)
| ~ spl36_5 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl36_4
| spl36_5
| spl36_2 ),
inference(avatar_split_clause,[],[f77,f102,f114,f111]) ).
fof(f119,definition,
( spl36_6
<=> p2(sK34) ),
introduced(definition,[new_symbols(definition,[spl36_6])],[avatar_definition]) ).
fof(f121,plain,
( ~ p2(sK34)
| spl36_6 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( ~ spl36_6
| spl36_5
| spl36_2 ),
inference(avatar_split_clause,[],[f78,f102,f114,f119]) ).
fof(f124,definition,
( spl36_7
<=> r1(sK24,sK34) ),
introduced(definition,[new_symbols(definition,[spl36_7])],[avatar_definition]) ).
fof(f126,plain,
( r1(sK24,sK34)
| ~ spl36_7 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl36_7
| spl36_2 ),
inference(avatar_split_clause,[],[f79,f102,f124]) ).
fof(f268,plain,
! [X0] :
( ~ sP3(X0)
| p2(sK11(X0))
| p2(sK13(sK11(X0)))
| ~ sP3(X0) ),
inference(resolution,[],[f52,f45]) ).
fof(f269,plain,
! [X0] :
( ~ sP3(X0)
| p2(sK11(X0))
| r1(sK13(sK11(X0)),sK14(sK11(X0)))
| ~ sP3(X0) ),
inference(resolution,[],[f52,f47]) ).
fof(f270,plain,
! [X0] :
( ~ sP3(X0)
| p2(sK11(X0))
| r1(sK11(X0),sK13(sK11(X0)))
| ~ sP3(X0) ),
inference(resolution,[],[f52,f48]) ).
fof(f277,plain,
! [X0] :
( r1(sK11(X0),sK13(sK11(X0)))
| p2(sK11(X0))
| ~ sP3(X0) ),
inference(duplicate_literal_removal,[],[f270]) ).
fof(f278,plain,
! [X0] :
( r1(sK13(sK11(X0)),sK14(sK11(X0)))
| p2(sK11(X0))
| ~ sP3(X0) ),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f279,plain,
! [X0] :
( p2(sK13(sK11(X0)))
| p2(sK11(X0))
| ~ sP3(X0) ),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f298,plain,
! [X0] :
( ~ sP3(X0)
| p2(sK12(X0))
| p2(sK16(sK12(X0)))
| ~ sP2(sK11(X0)) ),
inference(resolution,[],[f51,f53]) ).
fof(f299,plain,
! [X0] :
( ~ sP3(X0)
| p2(sK12(X0))
| r1(sK16(sK12(X0)),sK17(sK12(X0)))
| ~ sP2(sK11(X0)) ),
inference(resolution,[],[f51,f55]) ).
fof(f300,plain,
! [X0] :
( ~ sP3(X0)
| p2(sK12(X0))
| r1(sK12(X0),sK16(sK12(X0)))
| ~ sP2(sK11(X0)) ),
inference(resolution,[],[f51,f56]) ).
fof(f302,plain,
! [X0] :
( ~ sP3(X0)
| p2(sK12(X0))
| p2(sK20(sK12(X0)))
| ~ sP1(sK11(X0)) ),
inference(resolution,[],[f51,f60]) ).
fof(f303,plain,
! [X0] :
( ~ sP3(X0)
| p2(sK12(X0))
| r1(sK20(sK12(X0)),sK21(sK12(X0)))
| ~ sP1(sK11(X0)) ),
inference(resolution,[],[f51,f62]) ).
fof(f304,plain,
! [X0] :
( ~ sP3(X0)
| p2(sK12(X0))
| r1(sK12(X0),sK20(sK12(X0)))
| ~ sP1(sK11(X0)) ),
inference(resolution,[],[f51,f63]) ).
fof(f305,plain,
! [X0] :
( r1(sK12(X0),sK20(sK12(X0)))
| ~ sP3(X0)
| ~ sP1(sK11(X0)) ),
inference(forward_subsumption_resolution,[],[f304,f50]) ).
fof(f306,plain,
! [X0] :
( r1(sK20(sK12(X0)),sK21(sK12(X0)))
| ~ sP3(X0)
| ~ sP1(sK11(X0)) ),
inference(forward_subsumption_resolution,[],[f303,f50]) ).
fof(f307,plain,
! [X0] :
( p2(sK20(sK12(X0)))
| ~ sP3(X0)
| ~ sP1(sK11(X0)) ),
inference(forward_subsumption_resolution,[],[f302,f50]) ).
fof(f308,plain,
! [X0] :
( r1(sK12(X0),sK16(sK12(X0)))
| ~ sP3(X0)
| ~ sP2(sK11(X0)) ),
inference(forward_subsumption_resolution,[],[f300,f50]) ).
fof(f309,plain,
! [X0] :
( r1(sK16(sK12(X0)),sK17(sK12(X0)))
| ~ sP3(X0)
| ~ sP2(sK11(X0)) ),
inference(forward_subsumption_resolution,[],[f299,f50]) ).
fof(f310,plain,
! [X0] :
( p2(sK16(sK12(X0)))
| ~ sP3(X0)
| ~ sP2(sK11(X0)) ),
inference(forward_subsumption_resolution,[],[f298,f50]) ).
fof(f400,definition,
( spl36_30
<=> sP4(sK24) ),
introduced(definition,[new_symbols(definition,[spl36_30])],[avatar_definition]) ).
fof(f401,plain,
( ~ sP4(sK24)
| spl36_30 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( sP4(sK24)
| ~ spl36_30 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f428,definition,
( spl36_33
<=> p2(sK11(sK34)) ),
introduced(definition,[new_symbols(definition,[spl36_33])],[avatar_definition]) ).
fof(f430,plain,
( ~ p2(sK11(sK34))
| spl36_33 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f534,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ sP2(sK11(X0))
| ~ r1(sK16(sK12(X0)),X1)
| p2(X1)
| ~ p2(sK16(sK12(X0)))
| ~ sP3(X0) ),
inference(resolution,[],[f308,f49]) ).
fof(f545,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ sP2(sK11(X0))
| ~ r1(sK16(sK12(X0)),X1)
| p2(X1)
| ~ p2(sK16(sK12(X0))) ),
inference(duplicate_literal_removal,[],[f534]) ).
fof(f546,plain,
! [X0,X1] :
( ~ r1(sK16(sK12(X0)),X1)
| ~ sP2(sK11(X0))
| ~ sP3(X0)
| p2(X1) ),
inference(forward_subsumption_resolution,[],[f545,f310]) ).
fof(f572,plain,
! [X0,X1] :
( p2(sK6(X0))
| ~ r1(sK24,sK6(X0))
| sP4(X0)
| ~ r1(sK29(sK6(X0)),X1)
| p2(X1)
| ~ p2(sK29(sK6(X0)))
| ~ sP5(X0) ),
inference(resolution,[],[f89,f38]) ).
fof(f581,plain,
( ! [X0] :
( p2(sK34)
| ~ r1(sK24,sK34)
| ~ p2(sK29(sK34))
| p2(X0)
| ~ r1(sK29(sK34),X0) )
| ~ spl36_4 ),
inference(resolution,[],[f89,f112]) ).
fof(f582,plain,
( ! [X0] :
( p2(sK34)
| ~ r1(sK24,sK34)
| p2(X0)
| ~ r1(sK29(sK34),X0) )
| ~ spl36_4 ),
inference(forward_subsumption_resolution,[],[f581,f86]) ).
fof(f588,plain,
! [X0,X1] :
( p2(sK6(X0))
| ~ r1(sK24,sK6(X0))
| sP4(X0)
| ~ r1(sK29(sK6(X0)),X1)
| p2(X1)
| ~ sP5(X0) ),
inference(forward_subsumption_resolution,[],[f572,f86]) ).
fof(f589,plain,
( ! [X0] :
( ~ r1(sK24,sK34)
| p2(X0)
| ~ r1(sK29(sK34),X0) )
| ~ spl36_4
| spl36_6 ),
inference(forward_subsumption_resolution,[],[f582,f121]) ).
fof(f594,plain,
! [X0,X1] :
( ~ r1(sK29(sK6(X0)),X1)
| sP4(X0)
| ~ r1(sK24,sK6(X0))
| p2(X1)
| ~ sP5(X0) ),
inference(forward_subsumption_resolution,[],[f588,f39]) ).
fof(f595,plain,
( ! [X0] :
( ~ r1(sK29(sK34),X0)
| p2(X0) )
| ~ spl36_4
| spl36_6
| ~ spl36_7 ),
inference(forward_subsumption_resolution,[],[f589,f126]) ).
fof(f664,plain,
! [X0] :
( ~ sP3(X0)
| ~ sP2(sK11(X0))
| ~ sP2(sK11(X0))
| ~ sP3(X0)
| p2(sK17(sK12(X0))) ),
inference(resolution,[],[f309,f546]) ).
fof(f675,plain,
! [X0] :
( p2(sK17(sK12(X0)))
| ~ sP2(sK11(X0))
| ~ sP3(X0) ),
inference(duplicate_literal_removal,[],[f664]) ).
fof(f676,plain,
! [X0,X1] :
( ~ sP2(sK11(X0))
| ~ sP3(X0)
| p2(sK12(X0))
| ~ r1(X1,sK12(X0))
| ~ sP2(X1) ),
inference(resolution,[],[f675,f54]) ).
fof(f677,plain,
! [X0,X1] :
( ~ r1(X1,sK12(X0))
| ~ sP3(X0)
| ~ sP2(sK11(X0))
| ~ sP2(X1) ),
inference(forward_subsumption_resolution,[],[f676,f50]) ).
fof(f1031,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ sP1(sK11(X0))
| ~ r1(sK20(sK12(X0)),X1)
| p2(X1)
| ~ p2(sK20(sK12(X0)))
| ~ sP3(X0) ),
inference(resolution,[],[f305,f49]) ).
fof(f1044,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ sP1(sK11(X0))
| ~ r1(sK20(sK12(X0)),X1)
| p2(X1)
| ~ p2(sK20(sK12(X0))) ),
inference(duplicate_literal_removal,[],[f1031]) ).
fof(f1045,plain,
! [X0,X1] :
( ~ r1(sK20(sK12(X0)),X1)
| ~ sP1(sK11(X0))
| ~ sP3(X0)
| p2(X1) ),
inference(forward_subsumption_resolution,[],[f1044,f307]) ).
fof(f1053,plain,
! [X0] :
( ~ sP3(X0)
| ~ sP1(sK11(X0))
| ~ sP1(sK11(X0))
| ~ sP3(X0)
| p2(sK21(sK12(X0))) ),
inference(resolution,[],[f306,f1045]) ).
fof(f1066,plain,
! [X0] :
( p2(sK21(sK12(X0)))
| ~ sP1(sK11(X0))
| ~ sP3(X0) ),
inference(duplicate_literal_removal,[],[f1053]) ).
fof(f1067,plain,
! [X0,X1] :
( ~ sP1(sK11(X0))
| ~ sP3(X0)
| p2(sK12(X0))
| ~ r1(X1,sK12(X0))
| ~ sP1(X1) ),
inference(resolution,[],[f1066,f61]) ).
fof(f1068,plain,
! [X0,X1] :
( ~ r1(X1,sK12(X0))
| ~ sP3(X0)
| ~ sP1(sK11(X0))
| ~ sP1(X1) ),
inference(forward_subsumption_resolution,[],[f1067,f50]) ).
fof(f1106,plain,
( p2(sK34)
| ~ r1(sK24,sK34)
| p2(sK30(sK34))
| ~ spl36_4
| spl36_6
| ~ spl36_7 ),
inference(resolution,[],[f88,f595]) ).
fof(f1108,plain,
! [X0] :
( p2(sK6(X0))
| ~ r1(sK24,sK6(X0))
| sP4(X0)
| ~ r1(sK24,sK6(X0))
| p2(sK30(sK6(X0)))
| ~ sP5(X0) ),
inference(resolution,[],[f88,f594]) ).
fof(f1124,plain,
! [X0] :
( p2(sK6(X0))
| ~ r1(sK24,sK6(X0))
| sP4(X0)
| p2(sK30(sK6(X0)))
| ~ sP5(X0) ),
inference(duplicate_literal_removal,[],[f1108]) ).
fof(f1139,plain,
! [X0] :
( p2(sK6(X0))
| ~ r1(sK24,sK6(X0))
| sP4(X0)
| ~ sP5(X0) ),
inference(forward_subsumption_resolution,[],[f1124,f87]) ).
fof(f1141,plain,
( p2(sK34)
| ~ r1(sK24,sK34)
| ~ spl36_4
| spl36_6
| ~ spl36_7 ),
inference(forward_subsumption_resolution,[],[f1106,f87]) ).
fof(f1143,plain,
! [X0] :
( ~ r1(sK24,sK6(X0))
| sP4(X0)
| ~ sP5(X0) ),
inference(forward_subsumption_resolution,[],[f1139,f39]) ).
fof(f1145,plain,
( ~ r1(sK24,sK34)
| ~ spl36_4
| spl36_6
| ~ spl36_7 ),
inference(forward_subsumption_resolution,[],[f1141,f121]) ).
fof(f1146,plain,
( $false
| ~ spl36_4
| spl36_6
| ~ spl36_7 ),
inference(forward_subsumption_resolution,[],[f1145,f126]) ).
fof(f1147,plain,
( ~ spl36_4
| spl36_6
| ~ spl36_7 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1148,plain,
( sP4(sK24)
| ~ sP5(sK24)
| sP4(sK24)
| ~ sP5(sK24) ),
inference(resolution,[],[f1143,f40]) ).
fof(f1149,plain,
( sP4(sK24)
| ~ sP5(sK24) ),
inference(duplicate_literal_removal,[],[f1148]) ).
fof(f1150,plain,
! [X0] :
( ~ sP3(X0)
| ~ sP2(sK11(X0))
| ~ sP2(sK11(X0))
| ~ sP3(X0) ),
inference(resolution,[],[f677,f51]) ).
fof(f1151,plain,
! [X0] :
( ~ sP2(sK11(X0))
| ~ sP3(X0) ),
inference(duplicate_literal_removal,[],[f1150]) ).
fof(f1152,plain,
! [X0] :
( ~ sP3(X0)
| ~ sP1(sK11(X0))
| ~ sP1(sK11(X0))
| ~ sP3(X0) ),
inference(resolution,[],[f1068,f51]) ).
fof(f1153,plain,
! [X0] :
( ~ sP1(sK11(X0))
| ~ sP3(X0) ),
inference(duplicate_literal_removal,[],[f1152]) ).
fof(f1294,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK35(X1))
| r1(sK35(X1),sK9(sK35(X1)))
| ~ sP4(X0)
| p2(X1)
| ~ r1(sK24,X1) ),
inference(resolution,[],[f44,f74]) ).
fof(f1322,plain,
! [X0,X1] :
( ~ r1(sK24,X1)
| r1(sK35(X1),sK9(sK35(X1)))
| ~ sP4(X0)
| p2(X1)
| ~ r1(X0,X1) ),
inference(forward_subsumption_resolution,[],[f1294,f73]) ).
fof(f1338,plain,
! [X0] :
( r1(sK35(sK28),sK9(sK35(sK28)))
| ~ sP4(X0)
| p2(sK28)
| ~ r1(X0,sK28) ),
inference(resolution,[],[f1322,f91]) ).
fof(f1351,plain,
! [X0] :
( r1(sK35(sK28),sK9(sK35(sK28)))
| ~ sP4(X0)
| ~ r1(X0,sK28) ),
inference(forward_subsumption_resolution,[],[f1338,f90]) ).
fof(f1361,definition,
( spl36_102
<=> ! [X0] :
( ~ sP4(X0)
| ~ r1(X0,sK28) ) ),
introduced(definition,[new_symbols(definition,[spl36_102])],[avatar_definition]) ).
fof(f1362,plain,
( ! [X0] :
( ~ r1(X0,sK28)
| ~ sP4(X0) )
| ~ spl36_102 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f1364,definition,
( spl36_103
<=> r1(sK35(sK28),sK9(sK35(sK28))) ),
introduced(definition,[new_symbols(definition,[spl36_103])],[avatar_definition]) ).
fof(f1366,plain,
( r1(sK35(sK28),sK9(sK35(sK28)))
| ~ spl36_103 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1367,plain,
( spl36_102
| spl36_103 ),
inference(avatar_split_clause,[],[f1351,f1364,f1361]) ).
fof(f1371,plain,
( ~ sP4(sK24)
| ~ spl36_102 ),
inference(resolution,[],[f1362,f91]) ).
fof(f1372,plain,
( $false
| ~ spl36_30
| ~ spl36_102 ),
inference(forward_subsumption_resolution,[],[f1371,f402]) ).
fof(f1373,plain,
( ~ spl36_30
| ~ spl36_102 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1374,plain,
( ! [X0] :
( p2(sK28)
| ~ r1(sK24,sK28)
| ~ r1(sK9(sK35(sK28)),X0)
| p2(X0)
| ~ p2(sK9(sK35(sK28))) )
| ~ spl36_103 ),
inference(resolution,[],[f1366,f72]) ).
fof(f1394,definition,
( spl36_105
<=> p2(sK9(sK35(sK28))) ),
introduced(definition,[new_symbols(definition,[spl36_105])],[avatar_definition]) ).
fof(f1395,plain,
( ~ p2(sK9(sK35(sK28)))
| spl36_105 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1470,plain,
( ! [X0] :
( ~ r1(sK24,sK28)
| ~ r1(sK9(sK35(sK28)),X0)
| p2(X0)
| ~ p2(sK9(sK35(sK28))) )
| ~ spl36_103 ),
inference(forward_subsumption_resolution,[],[f1374,f90]) ).
fof(f1471,plain,
( ! [X0] :
( ~ r1(sK9(sK35(sK28)),X0)
| p2(X0)
| ~ p2(sK9(sK35(sK28))) )
| ~ spl36_103 ),
inference(forward_subsumption_resolution,[],[f1470,f91]) ).
fof(f1473,definition,
( spl36_121
<=> ! [X0] :
( ~ r1(sK9(sK35(sK28)),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl36_121])],[avatar_definition]) ).
fof(f1474,plain,
( ! [X0] :
( ~ r1(sK9(sK35(sK28)),X0)
| p2(X0) )
| ~ spl36_121 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1475,plain,
( ~ spl36_105
| spl36_121
| ~ spl36_103 ),
inference(avatar_split_clause,[],[f1471,f1364,f1473,f1394]) ).
fof(f1476,plain,
( ~ sP5(sK24)
| spl36_30 ),
inference(forward_subsumption_resolution,[],[f1149,f401]) ).
fof(f1478,plain,
( $false
| ~ spl36_2
| spl36_30 ),
inference(forward_subsumption_resolution,[],[f1476,f104]) ).
fof(f1479,plain,
( ~ spl36_2
| spl36_30 ),
inference(avatar_contradiction_clause,[],[f1478]) ).
fof(f1694,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK35(X1))
| p2(sK9(sK35(X1)))
| ~ sP4(X0)
| p2(X1)
| ~ r1(sK24,X1) ),
inference(resolution,[],[f41,f74]) ).
fof(f1723,plain,
! [X0,X1] :
( ~ r1(sK24,X1)
| p2(sK9(sK35(X1)))
| ~ sP4(X0)
| p2(X1)
| ~ r1(X0,X1) ),
inference(forward_subsumption_resolution,[],[f1694,f73]) ).
fof(f1731,plain,
! [X0] :
( p2(sK9(sK35(sK28)))
| ~ sP4(X0)
| p2(sK28)
| ~ r1(X0,sK28) ),
inference(resolution,[],[f1723,f91]) ).
fof(f1743,plain,
( ! [X0] :
( ~ sP4(X0)
| p2(sK28)
| ~ r1(X0,sK28) )
| spl36_105 ),
inference(forward_subsumption_resolution,[],[f1731,f1395]) ).
fof(f1744,plain,
( ! [X0] :
( ~ sP4(X0)
| ~ r1(X0,sK28) )
| spl36_105 ),
inference(forward_subsumption_resolution,[],[f1743,f90]) ).
fof(f1745,plain,
( spl36_102
| spl36_105 ),
inference(avatar_split_clause,[],[f1744,f1394,f1361]) ).
fof(f1907,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK35(X1))
| r1(sK9(sK35(X1)),sK10(sK35(X1)))
| ~ sP4(X0)
| p2(X1)
| ~ r1(sK24,X1) ),
inference(resolution,[],[f43,f74]) ).
fof(f1938,plain,
! [X0,X1] :
( ~ r1(sK24,X1)
| r1(sK9(sK35(X1)),sK10(sK35(X1)))
| ~ sP4(X0)
| p2(X1)
| ~ r1(X0,X1) ),
inference(forward_subsumption_resolution,[],[f1907,f73]) ).
fof(f1941,plain,
! [X0] :
( r1(sK9(sK35(sK28)),sK10(sK35(sK28)))
| ~ sP4(X0)
| p2(sK28)
| ~ r1(X0,sK28) ),
inference(resolution,[],[f1938,f91]) ).
fof(f1954,plain,
! [X0] :
( r1(sK9(sK35(sK28)),sK10(sK35(sK28)))
| ~ sP4(X0)
| ~ r1(X0,sK28) ),
inference(forward_subsumption_resolution,[],[f1941,f90]) ).
fof(f1961,definition,
( spl36_170
<=> r1(sK9(sK35(sK28)),sK10(sK35(sK28))) ),
introduced(definition,[new_symbols(definition,[spl36_170])],[avatar_definition]) ).
fof(f1963,plain,
( r1(sK9(sK35(sK28)),sK10(sK35(sK28)))
| ~ spl36_170 ),
inference(avatar_component_clause,[],[f1961]) ).
fof(f1964,plain,
( spl36_102
| spl36_170 ),
inference(avatar_split_clause,[],[f1954,f1961,f1361]) ).
fof(f1965,plain,
( p2(sK10(sK35(sK28)))
| ~ spl36_121
| ~ spl36_170 ),
inference(resolution,[],[f1963,f1474]) ).
fof(f1987,definition,
( spl36_172
<=> p2(sK10(sK35(sK28))) ),
introduced(definition,[new_symbols(definition,[spl36_172])],[avatar_definition]) ).
fof(f1989,plain,
( p2(sK10(sK35(sK28)))
| ~ spl36_172 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f2050,plain,
( spl36_172
| ~ spl36_121
| ~ spl36_170 ),
inference(avatar_split_clause,[],[f1965,f1961,f1473,f1987]) ).
fof(f2137,plain,
( ! [X0,X1] :
( ~ r1(X0,sK35(sK28))
| p2(sK35(sK28))
| ~ r1(X1,X0)
| ~ sP4(X1) )
| ~ spl36_172 ),
inference(resolution,[],[f1989,f42]) ).
fof(f2139,definition,
( spl36_201
<=> p2(sK35(sK28)) ),
introduced(definition,[new_symbols(definition,[spl36_201])],[avatar_definition]) ).
fof(f2141,plain,
( p2(sK35(sK28))
| ~ spl36_201 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f2143,definition,
( spl36_202
<=> ! [X0,X1] :
( ~ r1(X0,sK35(sK28))
| ~ sP4(X1)
| ~ r1(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl36_202])],[avatar_definition]) ).
fof(f2144,plain,
( ! [X0,X1] :
( ~ r1(X0,sK35(sK28))
| ~ sP4(X1)
| ~ r1(X1,X0) )
| ~ spl36_202 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f2145,plain,
( spl36_201
| spl36_202
| ~ spl36_172 ),
inference(avatar_split_clause,[],[f2137,f1987,f2143,f2139]) ).
fof(f2181,plain,
( ! [X0] :
( ~ sP4(X0)
| ~ r1(X0,sK28)
| p2(sK28)
| ~ r1(sK24,sK28) )
| ~ spl36_202 ),
inference(resolution,[],[f2144,f74]) ).
fof(f2182,plain,
( ! [X0] :
( ~ sP4(X0)
| ~ r1(X0,sK28)
| ~ r1(sK24,sK28) )
| ~ spl36_202 ),
inference(forward_subsumption_resolution,[],[f2181,f90]) ).
fof(f2183,plain,
( ! [X0] :
( ~ sP4(X0)
| ~ r1(X0,sK28) )
| ~ spl36_202 ),
inference(forward_subsumption_resolution,[],[f2182,f91]) ).
fof(f2184,plain,
( spl36_102
| ~ spl36_202 ),
inference(avatar_split_clause,[],[f2183,f2143,f1361]) ).
fof(f2185,plain,
( p2(sK28)
| ~ r1(sK24,sK28)
| ~ spl36_201 ),
inference(resolution,[],[f2141,f73]) ).
fof(f2186,plain,
( ~ r1(sK24,sK28)
| ~ spl36_201 ),
inference(forward_subsumption_resolution,[],[f2185,f90]) ).
fof(f2187,plain,
( $false
| ~ spl36_201 ),
inference(forward_subsumption_resolution,[],[f2186,f91]) ).
fof(f2188,plain,
~ spl36_201,
inference(avatar_contradiction_clause,[],[f2187]) ).
fof(f2198,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK11(sK34),X0)
| sP1(sK11(sK34))
| sP2(sK11(sK34))
| ~ sP3(sK34) )
| ~ spl36_1 ),
inference(resolution,[],[f100,f52]) ).
fof(f2206,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK11(sK34),X0)
| sP2(sK11(sK34))
| ~ sP3(sK34) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f2198,f1153]) ).
fof(f2239,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK11(sK34),X0)
| ~ sP3(sK34) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f2206,f1151]) ).
fof(f2240,plain,
( ! [X0,X1] :
( ~ r1(sK11(sK34),X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ p2(X0) )
| ~ spl36_1
| ~ spl36_5 ),
inference(forward_subsumption_resolution,[],[f2239,f116]) ).
fof(f2243,plain,
( ~ p2(sK11(sK34))
| sP1(sK11(sK34))
| sP2(sK11(sK34))
| ~ sP3(sK34)
| ~ spl36_3 ),
inference(resolution,[],[f108,f52]) ).
fof(f2249,plain,
( ~ p2(sK11(sK34))
| sP2(sK11(sK34))
| ~ sP3(sK34)
| ~ spl36_3 ),
inference(forward_subsumption_resolution,[],[f2243,f1153]) ).
fof(f2250,plain,
( ~ p2(sK11(sK34))
| ~ sP3(sK34)
| ~ spl36_3 ),
inference(forward_subsumption_resolution,[],[f2249,f1151]) ).
fof(f2251,plain,
( ~ p2(sK11(sK34))
| ~ spl36_3
| ~ spl36_5 ),
inference(forward_subsumption_resolution,[],[f2250,f116]) ).
fof(f2252,plain,
( ~ spl36_33
| ~ spl36_3
| ~ spl36_5 ),
inference(avatar_split_clause,[],[f2251,f114,f107,f428]) ).
fof(f2893,plain,
( ! [X0] :
( p2(sK11(sK34))
| ~ sP3(sK34)
| p2(X0)
| ~ r1(sK13(sK11(sK34)),X0)
| ~ p2(sK13(sK11(sK34))) )
| ~ spl36_1
| ~ spl36_5 ),
inference(resolution,[],[f277,f2240]) ).
fof(f2910,plain,
( ! [X0] :
( ~ sP3(sK34)
| p2(X0)
| ~ r1(sK13(sK11(sK34)),X0)
| ~ p2(sK13(sK11(sK34))) )
| ~ spl36_1
| ~ spl36_5
| spl36_33 ),
inference(forward_subsumption_resolution,[],[f2893,f430]) ).
fof(f2911,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK13(sK11(sK34)),X0)
| ~ p2(sK13(sK11(sK34))) )
| ~ spl36_1
| ~ spl36_5
| spl36_33 ),
inference(forward_subsumption_resolution,[],[f2910,f116]) ).
fof(f2913,definition,
( spl36_265
<=> p2(sK13(sK11(sK34))) ),
introduced(definition,[new_symbols(definition,[spl36_265])],[avatar_definition]) ).
fof(f2915,plain,
( ~ p2(sK13(sK11(sK34)))
| spl36_265 ),
inference(avatar_component_clause,[],[f2913]) ).
fof(f2917,definition,
( spl36_266
<=> ! [X0] :
( p2(X0)
| ~ r1(sK13(sK11(sK34)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl36_266])],[avatar_definition]) ).
fof(f2918,plain,
( ! [X0] :
( ~ r1(sK13(sK11(sK34)),X0)
| p2(X0) )
| ~ spl36_266 ),
inference(avatar_component_clause,[],[f2917]) ).
fof(f2919,plain,
( ~ spl36_265
| spl36_266
| ~ spl36_1
| ~ spl36_5
| spl36_33 ),
inference(avatar_split_clause,[],[f2911,f428,f114,f99,f2917,f2913]) ).
fof(f2920,plain,
( p2(sK11(sK34))
| ~ sP3(sK34)
| spl36_265 ),
inference(resolution,[],[f2915,f279]) ).
fof(f2921,plain,
( ~ sP3(sK34)
| spl36_33
| spl36_265 ),
inference(forward_subsumption_resolution,[],[f2920,f430]) ).
fof(f2922,plain,
( $false
| ~ spl36_5
| spl36_33
| spl36_265 ),
inference(forward_subsumption_resolution,[],[f2921,f116]) ).
fof(f2923,plain,
( ~ spl36_5
| spl36_33
| spl36_265 ),
inference(avatar_contradiction_clause,[],[f2922]) ).
fof(f2924,plain,
( p2(sK14(sK11(sK34)))
| p2(sK11(sK34))
| ~ sP3(sK34)
| ~ spl36_266 ),
inference(resolution,[],[f2918,f278]) ).
fof(f2974,plain,
( p2(sK14(sK11(sK34)))
| ~ sP3(sK34)
| spl36_33
| ~ spl36_266 ),
inference(forward_subsumption_resolution,[],[f2924,f430]) ).
fof(f2984,plain,
( p2(sK14(sK11(sK34)))
| ~ spl36_5
| spl36_33
| ~ spl36_266 ),
inference(forward_subsumption_resolution,[],[f2974,f116]) ).
fof(f2985,plain,
( ! [X0] :
( p2(sK11(sK34))
| ~ r1(X0,sK11(sK34))
| ~ sP3(X0) )
| ~ spl36_5
| spl36_33
| ~ spl36_266 ),
inference(resolution,[],[f2984,f46]) ).
fof(f2986,plain,
( ! [X0] :
( ~ r1(X0,sK11(sK34))
| ~ sP3(X0) )
| ~ spl36_5
| spl36_33
| ~ spl36_266 ),
inference(forward_subsumption_resolution,[],[f2985,f430]) ).
fof(f2987,plain,
( ~ sP3(sK34)
| ~ sP3(sK34)
| ~ spl36_5
| spl36_33
| ~ spl36_266 ),
inference(resolution,[],[f2986,f52]) ).
fof(f2988,plain,
( ~ sP3(sK34)
| ~ spl36_5
| spl36_33
| ~ spl36_266 ),
inference(duplicate_literal_removal,[],[f2987]) ).
fof(f2989,plain,
( $false
| ~ spl36_5
| spl36_33
| ~ spl36_266 ),
inference(forward_subsumption_resolution,[],[f2988,f116]) ).
fof(f2990,plain,
( ~ spl36_5
| spl36_33
| ~ spl36_266 ),
inference(avatar_contradiction_clause,[],[f2989]) ).
cnf(s1,plain,
( spl36_1
| spl36_2 ),
inference(sat_conversion,[],[f105]) ).
cnf(s2,plain,
( spl36_2
| spl36_3 ),
inference(sat_conversion,[],[f109]) ).
cnf(s3,plain,
( spl36_2
| spl36_4
| spl36_5 ),
inference(sat_conversion,[],[f117]) ).
cnf(s4,plain,
( spl36_2
| spl36_5
| ~ spl36_6 ),
inference(sat_conversion,[],[f122]) ).
cnf(s5,plain,
( spl36_2
| spl36_7 ),
inference(sat_conversion,[],[f127]) ).
cnf(s58,plain,
( ~ spl36_4
| spl36_6
| ~ spl36_7 ),
inference(sat_conversion,[],[f1147]) ).
cnf(s62,plain,
( spl36_102
| spl36_103 ),
inference(sat_conversion,[],[f1367]) ).
cnf(s64,plain,
( ~ spl36_30
| ~ spl36_102 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s79,plain,
( ~ spl36_103
| ~ spl36_105
| spl36_121 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s80,plain,
( ~ spl36_2
| spl36_30 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s104,plain,
( spl36_102
| spl36_105 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s111,plain,
( spl36_102
| spl36_170 ),
inference(sat_conversion,[],[f1964]) ).
cnf(s122,plain,
( ~ spl36_121
| ~ spl36_170
| spl36_172 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s134,plain,
( ~ spl36_172
| spl36_201
| spl36_202 ),
inference(sat_conversion,[],[f2145]) ).
cnf(s141,plain,
( spl36_102
| ~ spl36_202 ),
inference(sat_conversion,[],[f2184]) ).
cnf(s142,plain,
~ spl36_201,
inference(sat_conversion,[],[f2188]) ).
cnf(s146,plain,
( ~ spl36_3
| ~ spl36_5
| ~ spl36_33 ),
inference(sat_conversion,[],[f2252]) ).
cnf(s175,plain,
( ~ spl36_1
| ~ spl36_5
| spl36_33
| ~ spl36_265
| spl36_266 ),
inference(sat_conversion,[],[f2919]) ).
cnf(s176,plain,
( ~ spl36_5
| spl36_33
| spl36_265 ),
inference(sat_conversion,[],[f2923]) ).
cnf(s182,plain,
( ~ spl36_5
| spl36_33
| ~ spl36_266 ),
inference(sat_conversion,[],[f2990]) ).
cnf(s183,plain,
( ~ spl36_172
| spl36_202 ),
inference(rat,[],[s134,s142]) ).
cnf(s184,plain,
spl36_102,
inference(rat,[],[s79,s122,s183,s62,s104,s111,s141]) ).
cnf(s185,plain,
~ spl36_30,
inference(rat,[],[s64,s184]) ).
cnf(s186,plain,
~ spl36_2,
inference(rat,[],[s80,s185]) ).
cnf(s187,plain,
spl36_7,
inference(rat,[],[s5,s186]) ).
cnf(s188,plain,
spl36_3,
inference(rat,[],[s2,s186]) ).
cnf(s189,plain,
spl36_1,
inference(rat,[],[s1,s186]) ).
cnf(s190,plain,
( spl36_33
| ~ spl36_5 ),
inference(rat,[],[s175,s176,s182,s189]) ).
cnf(s191,plain,
~ spl36_5,
inference(rat,[],[s190,s146,s188]) ).
cnf(s192,plain,
~ spl36_6,
inference(rat,[],[s4,s186,s191]) ).
cnf(s193,plain,
spl36_4,
inference(rat,[],[s3,s186,s191]) ).
cnf(s195,plain,
$false,
inference(rat,[],[s58,s187,s192,s193]) ).
fof(f2991,plain,
$false,
inference(avatar_sat_refutation,[],[s195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL642+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.30 % Computer : n012.cluster.edu
% 0.05/0.30 % Model : x86_64 x86_64
% 0.05/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30 % Memory : 8046.5625MB
% 0.05/0.30 % OS : Linux 6.8.0-71-generic
% 0.05/0.30 % CPULimit : 300
% 0.05/0.30 % WCLimit : 300
% 0.05/0.30 % DateTime : Sun Sep 27 16:09:34 UTC 2026
% 0.05/0.30 % CPUTime :
% 0.05/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 Running first-order theorem proving
% 0.05/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.26/1.32 % (2555998)Detected formulas, will run a generic FOF schedule.
% 5.26/1.32 % (2556008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=853638422:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.26/1.32 % (2556006)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=290589467:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.26/1.32 % (2556004)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=165492348:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.26/1.32 % (2556009)dis-21_1_sil=8000:lcm=predicate:random_seed=165405025: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)
% 5.26/1.32 % (2556003)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=3736370961:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.26/1.32 % (2556007)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1966966373:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.26/1.32 % (2556005)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=4068155931:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.26/1.32 % (2556006)Refutation not found, incomplete strategy
% 5.26/1.32 % (2556006)------------------------------
% 5.26/1.32 % (2556006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556006)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556006)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.32 % (2556006)Time elapsed: 0.021 s
% 5.26/1.32 % (2556006)Peak memory usage: 89 MB
% 5.26/1.32 % (2556006)Instructions burned: 69 (million)
% 5.26/1.32 % (2556009)Instruction limit reached!
% 5.26/1.32 % (2556009)------------------------------
% 5.26/1.32 % (2556009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556009)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556009)Termination reason: Instruction limit
% 5.26/1.32 % (2556009)Termination phase: Saturation
% 5.26/1.32 % (2556009)Time elapsed: 0.033 s
% 5.26/1.32 % (2556009)Peak memory usage: 88 MB
% 5.26/1.32 % (2556009)Instructions burned: 129 (million)
% 5.26/1.32 % (2556007)Instruction limit reached!
% 5.26/1.32 % (2556007)------------------------------
% 5.26/1.32 % (2556007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556007)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556007)Termination reason: Instruction limit
% 5.26/1.32 % (2556007)Termination phase: Saturation
% 5.26/1.32 % (2556007)Time elapsed: 0.035 s
% 5.26/1.32 % (2556007)Peak memory usage: 88 MB
% 5.26/1.32 % (2556007)Instructions burned: 119 (million)
% 5.26/1.32 % (2556008)Instruction limit reached!
% 5.26/1.32 % (2556008)------------------------------
% 5.26/1.32 % (2556008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556008)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556008)Termination reason: Instruction limit
% 5.26/1.32 % (2556008)Termination phase: Saturation
% 5.26/1.32 % (2556008)Time elapsed: 0.041 s
% 5.26/1.32 % (2556008)Peak memory usage: 89 MB
% 5.26/1.32 % (2556008)Instructions burned: 142 (million)
% 5.26/1.32 % (2556019)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2626278862:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 5.26/1.32 % (2556017)lrs+10_1_sil=8000:sp=occurrence:random_seed=4006310824:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.26/1.32 % (2556018)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3896034198:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 5.26/1.32 % (2556018)Refutation not found, incomplete strategy
% 5.26/1.32 % (2556018)------------------------------
% 5.26/1.32 % (2556018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556018)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556018)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.32 % (2556018)Time elapsed: 0.003 s
% 5.26/1.32 % (2556018)Peak memory usage: 88 MB
% 5.26/1.32 % (2556018)Instructions burned: 7 (million)
% 5.26/1.32 % (2556006)------------------------------
% 5.26/1.32 % (2556006)------------------------------
% 5.26/1.32 % (2556017)Instruction limit reached!
% 5.26/1.32 % (2556017)------------------------------
% 5.26/1.32 % (2556017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556017)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556017)Termination reason: Instruction limit
% 5.26/1.32 % (2556017)Termination phase: Saturation
% 5.26/1.32 % (2556017)Time elapsed: 0.078 s
% 5.26/1.32 % (2556017)Peak memory usage: 92 MB
% 5.26/1.32 % (2556017)Instructions burned: 287 (million)
% 5.26/1.32 % (2556019)Instruction limit reached!
% 5.26/1.32 % (2556019)------------------------------
% 5.26/1.32 % (2556019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556019)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556019)Termination reason: Instruction limit
% 5.26/1.32 % (2556019)Termination phase: Saturation
% 5.26/1.32 % (2556019)Time elapsed: 0.111 s
% 5.26/1.32 % (2556019)Peak memory usage: 90 MB
% 5.26/1.32 % (2556019)Instructions burned: 328 (million)
% 5.26/1.32 % (2556023)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=2943227344:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.26/1.32 % (2556023)Refutation not found, incomplete strategy
% 5.26/1.32 % (2556023)------------------------------
% 5.26/1.32 % (2556023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556023)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556023)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.32 % (2556023)Time elapsed: 0.003 s
% 5.26/1.32 % (2556023)Peak memory usage: 88 MB
% 5.26/1.32 % (2556023)Instructions burned: 7 (million)
% 5.26/1.32 % (2556018)------------------------------
% 5.26/1.32 % (2556018)------------------------------
% 5.26/1.32 % (2556024)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2175078584:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.26/1.32 % (2556024)Refutation not found, incomplete strategy
% 5.26/1.32 % (2556024)------------------------------
% 5.26/1.32 % (2556024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556024)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556024)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.32 % (2556024)Time elapsed: 0.012 s
% 5.26/1.32 % (2556024)Peak memory usage: 89 MB
% 5.26/1.32 % (2556024)Instructions burned: 35 (million)
% 5.26/1.32 % (2556025)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=716441364:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.26/1.32 % (2556023)------------------------------
% 5.26/1.32 % (2556023)------------------------------
% 5.26/1.32 % (2556027)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3314089374:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.26/1.32 % (2556003)First to succeed.
% 5.26/1.32 % (2556003)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2555998"
% 5.26/1.32 % (2556027)Instruction limit reached!
% 5.26/1.32 % (2556027)------------------------------
% 5.26/1.32 % (2556027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556027)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556027)Termination reason: Instruction limit
% 5.26/1.32 % (2556027)Termination phase: Saturation
% 5.26/1.32 % (2556027)Time elapsed: 0.036 s
% 5.26/1.32 % (2556027)Peak memory usage: 92 MB
% 5.26/1.32 % (2556027)Instructions burned: 115 (million)
% 5.26/1.32 % (2556004)Also succeeded, but the first one will report.
% 5.26/1.32 % (2556024)------------------------------
% 5.26/1.32 % (2556024)------------------------------
% 5.26/1.32 % (2556031)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2099632177:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.26/1.32 % (2556031)Instruction limit reached!
% 5.26/1.32 % (2556031)------------------------------
% 5.26/1.32 % (2556031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.32 % (2556031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.32 % (2556031)CaDiCaL version: 2.1.3
% 5.26/1.32 % (2556031)Termination reason: Instruction limit
% 5.26/1.32 % (2556031)Termination phase: Saturation
% 5.26/1.32 % (2556031)Time elapsed: 0.038 s
% 5.26/1.32 % (2556031)Peak memory usage: 90 MB
% 5.26/1.32 % (2556031)Instructions burned: 127 (million)
% 5.26/1.32 % (2556032)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2675517309:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.26/1.32 % (2556003)Refutation found. Thanks to Tanya!
% 5.26/1.32 % SZS status Theorem for theBenchmark
% 5.26/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 5.76/1.41 % (2556003)------------------------------
% 5.76/1.41 % (2556003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.41 % (2556003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.41 % (2556003)CaDiCaL version: 2.1.3
% 5.76/1.41 % (2556003)Termination reason: Refutation
% 5.76/1.41 % (2556003)Time elapsed: 0.489 s
% 5.76/1.41 % (2556003)Peak memory usage: 131 MB
% 5.76/1.41 % (2556003)Instructions burned: 1307 (million)
% 5.76/1.41 % (2556003)------------------------------
% 5.76/1.41 % (2556003)------------------------------
% 5.76/1.41 % (2555998)Success in time 0.794 s
% 5.76/1.41 % Vampire exiting
%------------------------------------------------------------------------------