%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL676+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:55:47 AM UTC 2026
% Result : Theorem 4.01s 1.53s
% Output : Refutation 5.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 111 ( 11 unt; 15 def)
% Number of atoms : 1249 ( 0 equ)
% Maximal formula atoms : 123 ( 11 avg)
% Number of connectives : 1987 ( 849 ~; 820 |; 310 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 8 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-1 aty)
% Number of variables : 569 ( 0 sgn 433 !; 136 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X0,X1)
& r1(X1,X2) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) ) ) )
& ( ! [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)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
| ~ p4(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ 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(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) ) ) )
& ( ! [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)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
| ~ p4(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ 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)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ~ p3(X3) ) ) )
& ( ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ~ ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ~ ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6) ) ) ) )
| ! [X8] :
( ~ r1(X0,X8)
| p4(X8) )
| ~ ! [X9] :
( ~ r1(X0,X9)
| p4(X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p4(X11) )
| ~ p4(X10) ) )
| ( ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| ~ p3(X13) ) )
& ( ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
| ~ ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| p2(X17) )
| ~ p2(X16) ) ) ) )
| ! [X18] :
( ~ r1(X0,X18)
| p1(X18) )
| ~ ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p1(X21) )
| ~ p1(X20) ) )
| ~ ( ( ( ( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ p2(X24) ) ) )
| ~ ! [X26] :
( ~ r1(X0,X26)
| p2(X26)
| ~ ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
& ( p2(X0)
| ~ ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) )
| ~ p2(X29) ) ) )
| ~ ! [X31] :
( ~ r1(X0,X31)
| ( ( ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| ~ ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) )
| ~ p2(X34) ) ) )
| ~ ! [X36] :
( ~ r1(X31,X36)
| p2(X36)
| ~ ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ( p2(X31)
| ~ ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
| ~ ! [X41] :
( ~ r1(X31,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X42,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X42)
| ~ ! [X50] :
( ~ r1(X42,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) )
| ~ ( ( ! [X52] :
( ~ r1(X41,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) )
| ~ ! [X56] :
( ~ r1(X41,X56)
| p2(X56)
| ~ ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) )
& ( p2(X41)
| ~ ! [X59] :
( ~ r1(X41,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) ) ) ) ) ) )
& ! [X61] :
( ~ r1(X0,X61)
| p2(X61)
| ~ ! [X62] :
( ~ r1(X61,X62)
| p2(X62)
| ~ ! [X63] :
( ~ r1(X62,X63)
| ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ~ p3(X3) ) ) )
& ( ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ~ ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ~ ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6) ) ) ) )
| ! [X8] :
( ~ r1(X0,X8)
| p4(X8) )
| ~ ! [X9] :
( ~ r1(X0,X9)
| p4(X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p4(X11) )
| ~ p4(X10) ) )
| ( ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| ~ p3(X13) ) )
& ( ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
| ~ ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| p2(X17) )
| ~ p2(X16) ) ) ) )
| ! [X18] :
( ~ r1(X0,X18)
| p1(X18) )
| ~ ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p1(X21) )
| ~ p1(X20) ) )
| ~ ( ( ( ( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ p2(X24) ) ) )
| ~ ! [X26] :
( ~ r1(X0,X26)
| p2(X26)
| ~ ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
& ( p2(X0)
| ~ ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) )
| ~ p2(X29) ) ) )
| ~ ! [X31] :
( ~ r1(X0,X31)
| ( ( ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| ~ ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) )
| ~ p2(X34) ) ) )
| ~ ! [X36] :
( ~ r1(X31,X36)
| p2(X36)
| ~ ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ( p2(X31)
| ~ ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
| ~ ! [X41] :
( ~ r1(X31,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X42,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X42)
| ~ ! [X50] :
( ~ r1(X42,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) )
| ~ ( ( ! [X52] :
( ~ r1(X41,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) )
| ~ ! [X56] :
( ~ r1(X41,X56)
| p2(X56)
| ~ ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) )
& ( p2(X41)
| ~ ! [X59] :
( ~ r1(X41,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) ) ) ) ) ) )
& ! [X61] :
( ~ r1(X0,X61)
| p2(X61)
| ~ ! [X62] :
( ~ r1(X61,X62)
| p2(X62)
| ~ ! [X63] :
( ~ r1(X62,X63)
| ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63) ) ) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p1(X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p3(X3) ) ) )
| ( ? [X4] :
( r1(X0,X4)
& ~ p2(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) ) )
& ? [X8] :
( r1(X0,X8)
& ~ p4(X8) )
& ! [X9] :
( ~ r1(X0,X9)
| p4(X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ~ p4(X11) )
& p4(X10) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| ? [X13] :
( r1(X12,X13)
& p3(X13) ) )
| ( ? [X14] :
( r1(X0,X14)
& ~ p2(X14) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ? [X17] :
( r1(X16,X17)
& ~ p2(X17) )
& p2(X16) ) ) ) )
& ? [X18] :
( r1(X0,X18)
& ~ p1(X18) )
& ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ? [X20] :
( r1(X19,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p1(X21) )
& p1(X20) ) )
& ( ( ( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ? [X24] :
( r1(X23,X24)
& ? [X25] :
( r1(X24,X25)
& ~ p2(X25) )
& p2(X24) ) ) )
| ? [X26] :
( r1(X0,X26)
& ~ p2(X26)
& ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
& ( p2(X0)
| ? [X29] :
( r1(X0,X29)
& ? [X30] :
( r1(X29,X30)
& ~ p2(X30) )
& p2(X29) ) ) )
| ? [X31] :
( r1(X0,X31)
& ( ( ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p2(X33)
& ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) )
| ~ p2(X34) ) ) )
& ! [X36] :
( ~ r1(X31,X36)
| p2(X36)
| ? [X37] :
( r1(X36,X37)
& ? [X38] :
( r1(X37,X38)
& ~ p2(X38) )
& p2(X37) ) ) )
| ( ~ p2(X31)
& ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ! [X41] :
( ~ r1(X31,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) )
& p2(X45) ) ) )
| ? [X47] :
( r1(X42,X47)
& ~ p2(X47)
& ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X42)
| ? [X50] :
( r1(X42,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51) )
& p2(X50) ) ) ) )
| ( ? [X52] :
( r1(X41,X52)
& ? [X53] :
( r1(X52,X53)
& ~ p2(X53)
& ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) )
& ! [X56] :
( ~ r1(X41,X56)
| p2(X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] :
( r1(X57,X58)
& ~ p2(X58) )
& p2(X57) ) ) )
| ( ~ p2(X41)
& ! [X59] :
( ~ r1(X41,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) ) ) ) ) )
& ! [X61] :
( ~ r1(X0,X61)
| p2(X61)
| ? [X62] :
( r1(X61,X62)
& ~ p2(X62)
& ! [X63] :
( ~ r1(X62,X63)
| ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p1(X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p3(X3) ) ) )
| ( ? [X4] :
( r1(X0,X4)
& ~ p2(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) ) )
& ? [X8] :
( r1(X0,X8)
& ~ p4(X8) )
& ! [X9] :
( ~ r1(X0,X9)
| p4(X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ~ p4(X11) )
& p4(X10) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| ? [X13] :
( r1(X12,X13)
& p3(X13) ) )
| ( ? [X14] :
( r1(X0,X14)
& ~ p2(X14) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ? [X17] :
( r1(X16,X17)
& ~ p2(X17) )
& p2(X16) ) ) ) )
& ? [X18] :
( r1(X0,X18)
& ~ p1(X18) )
& ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ? [X20] :
( r1(X19,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p1(X21) )
& p1(X20) ) )
& ( ( ( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ? [X24] :
( r1(X23,X24)
& ? [X25] :
( r1(X24,X25)
& ~ p2(X25) )
& p2(X24) ) ) )
| ? [X26] :
( r1(X0,X26)
& ~ p2(X26)
& ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
& ( p2(X0)
| ? [X29] :
( r1(X0,X29)
& ? [X30] :
( r1(X29,X30)
& ~ p2(X30) )
& p2(X29) ) ) )
| ? [X31] :
( r1(X0,X31)
& ( ( ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p2(X33)
& ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) )
| ~ p2(X34) ) ) )
& ! [X36] :
( ~ r1(X31,X36)
| p2(X36)
| ? [X37] :
( r1(X36,X37)
& ? [X38] :
( r1(X37,X38)
& ~ p2(X38) )
& p2(X37) ) ) )
| ( ~ p2(X31)
& ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ! [X41] :
( ~ r1(X31,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) )
& p2(X45) ) ) )
| ? [X47] :
( r1(X42,X47)
& ~ p2(X47)
& ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X42)
| ? [X50] :
( r1(X42,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51) )
& p2(X50) ) ) ) )
| ( ? [X52] :
( r1(X41,X52)
& ? [X53] :
( r1(X52,X53)
& ~ p2(X53)
& ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) )
& ! [X56] :
( ~ r1(X41,X56)
| p2(X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] :
( r1(X57,X58)
& ~ p2(X58) )
& p2(X57) ) ) )
| ( ~ p2(X41)
& ! [X59] :
( ~ r1(X41,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) ) ) ) ) )
& ! [X61] :
( ~ r1(X0,X61)
| p2(X61)
| ? [X62] :
( r1(X61,X62)
& ~ p2(X62)
& ! [X63] :
( ~ r1(X62,X63)
| ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63) ) ) ) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(flattening,[],[f9]) ).
fof(f11,definition,
! [X42] :
( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) )
& p2(X45) ) ) )
| ~ sP0(X42) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X41] :
( ( ? [X52] :
( r1(X41,X52)
& ? [X53] :
( r1(X52,X53)
& ~ p2(X53)
& ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) )
& ! [X56] :
( ~ r1(X41,X56)
| p2(X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] :
( r1(X57,X58)
& ~ p2(X58) )
& p2(X57) ) ) )
| ~ sP1(X41) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X41] :
( ! [X42] :
( ~ r1(X41,X42)
| ( ( sP0(X42)
| ? [X47] :
( r1(X42,X47)
& ~ p2(X47)
& ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X42)
| ? [X50] :
( r1(X42,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51) )
& p2(X50) ) ) ) )
| ~ sP2(X41) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X31] :
( ( ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p2(X33)
& ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) )
| ~ p2(X34) ) ) )
& ! [X36] :
( ~ r1(X31,X36)
| p2(X36)
| ? [X37] :
( r1(X36,X37)
& ? [X38] :
( r1(X37,X38)
& ~ p2(X38) )
& p2(X37) ) ) )
| ~ sP3(X31) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X0] :
( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ? [X24] :
( r1(X23,X24)
& ? [X25] :
( r1(X24,X25)
& ~ p2(X25) )
& p2(X24) ) ) )
| ~ sP4(X0) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X0] :
( ( ( sP4(X0)
| ? [X26] :
( r1(X0,X26)
& ~ p2(X26)
& ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
& ( p2(X0)
| ? [X29] :
( r1(X0,X29)
& ? [X30] :
( r1(X29,X30)
& ~ p2(X30) )
& p2(X29) ) ) )
| ~ sP5(X0) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X0] :
( ( ? [X14] :
( r1(X0,X14)
& ~ p2(X14) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ? [X17] :
( r1(X16,X17)
& ~ p2(X17) )
& p2(X16) ) ) )
| ~ sP6(X0) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X0] :
( ( ? [X4] :
( r1(X0,X4)
& ~ p2(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP7(X0) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f19,plain,
? [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p1(X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p3(X3) ) ) )
| sP7(X0) )
& ? [X8] :
( r1(X0,X8)
& ~ p4(X8) )
& ! [X9] :
( ~ r1(X0,X9)
| p4(X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ~ p4(X11) )
& p4(X10) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| ? [X13] :
( r1(X12,X13)
& p3(X13) ) )
| sP6(X0) )
& ? [X18] :
( r1(X0,X18)
& ~ p1(X18) )
& ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ? [X20] :
( r1(X19,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p1(X21) )
& p1(X20) ) )
& ( sP5(X0)
| ? [X31] :
( r1(X0,X31)
& ( sP3(X31)
| ( ~ p2(X31)
& ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ! [X41] :
( ~ r1(X31,X41)
| sP2(X41)
| sP1(X41)
| ( ~ p2(X41)
& ! [X59] :
( ~ r1(X41,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) ) ) ) ) )
& ! [X61] :
( ~ r1(X0,X61)
| p2(X61)
| ? [X62] :
( r1(X61,X62)
& ~ p2(X62)
& ! [X63] :
( ~ r1(X62,X63)
| ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63) ) ) ) ),
inference(definition_folding,[],[f8,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f20,plain,
! [X0] :
( ( ? [X4] :
( r1(X0,X4)
& ~ p2(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f18]) ).
fof(f21,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP7(X0) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ( r1(X0,sK8(X0))
& ~ p2(sK8(X0))
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ( r1(X2,sK9(X2))
& r1(sK9(X2),sK10(X2))
& ~ p2(sK10(X2))
& p2(sK9(X2)) ) ) )
| ~ sP7(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X3,sK9(X2)),skolemize(X4,sK10(X2))],[f21]) ).
fof(f23,plain,
! [X0] :
( ( ? [X14] :
( r1(X0,X14)
& ~ p2(X14) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ? [X17] :
( r1(X16,X17)
& ~ p2(X17) )
& p2(X16) ) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( r1(X0,sK11(X0))
& ~ p2(sK11(X0))
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ( r1(X2,sK12(X2))
& r1(sK12(X2),sK13(X2))
& ~ p2(sK13(X2))
& p2(sK12(X2)) ) ) )
| ~ sP6(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X1,sK11(X0)),skolemize(X3,sK12(X2)),skolemize(X4,sK13(X2))],[f24]) ).
fof(f44,plain,
? [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p1(X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p3(X3) ) ) )
| sP7(X0) )
& ? [X4] :
( r1(X0,X4)
& ~ p4(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p4(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p4(X7) )
& p4(X6) ) )
& ( ! [X8] :
( ~ r1(X0,X8)
| ? [X9] :
( r1(X8,X9)
& p3(X9) ) )
| sP6(X0) )
& ? [X10] :
( r1(X0,X10)
& ~ p1(X10) )
& ! [X11] :
( ~ r1(X0,X11)
| p1(X11)
| ? [X12] :
( r1(X11,X12)
& ? [X13] :
( r1(X12,X13)
& ~ p1(X13) )
& p1(X12) ) )
& ( sP5(X0)
| ? [X14] :
( r1(X0,X14)
& ( sP3(X14)
| ( ~ p2(X14)
& ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
& ! [X17] :
( ~ r1(X14,X17)
| sP2(X17)
| sP1(X17)
| ( ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) ) ) )
& ! [X20] :
( ~ r1(X0,X20)
| p2(X20)
| ? [X21] :
( r1(X20,X21)
& ~ p2(X21)
& ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) )
| ~ p2(X22) ) ) ) ),
inference(rectify,[],[f19]) ).
fof(f45,plain,
( ( ( r1(sK32,sK33)
& ~ p1(sK33)
& r1(sK33,sK34)
& ! [X3] :
( ~ r1(sK34,X3)
| ~ p3(X3) ) )
| sP7(sK32) )
& r1(sK32,sK35)
& ~ p4(sK35)
& ! [X5] :
( ~ r1(sK32,X5)
| p4(X5)
| ( r1(X5,sK36(X5))
& r1(sK36(X5),sK37(X5))
& ~ p4(sK37(X5))
& p4(sK36(X5)) ) )
& ( ! [X8] :
( ~ r1(sK32,X8)
| ( r1(X8,sK38(X8))
& p3(sK38(X8)) ) )
| sP6(sK32) )
& r1(sK32,sK39)
& ~ p1(sK39)
& ! [X11] :
( ~ r1(sK32,X11)
| p1(X11)
| ( r1(X11,sK40(X11))
& r1(sK40(X11),sK41(X11))
& ~ p1(sK41(X11))
& p1(sK40(X11)) ) )
& ( sP5(sK32)
| ( r1(sK32,sK42)
& ( sP3(sK42)
| ( ~ p2(sK42)
& ! [X15] :
( ~ r1(sK42,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
& ! [X17] :
( ~ r1(sK42,X17)
| sP2(X17)
| sP1(X17)
| ( ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) ) ) )
& ! [X20] :
( ~ r1(sK32,X20)
| p2(X20)
| ( r1(X20,sK43(X20))
& ~ p2(sK43(X20))
& ! [X22] :
( ~ r1(sK43(X20),X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) )
| ~ p2(X22) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43]),skolemize(X0,sK32),skolemize(X1,sK33),skolemize(X2,sK34),skolemize(X4,sK35),skolemize(X6,sK36(X5)),skolemize(X7,sK37(X5)),skolemize(X9,sK38(X8)),skolemize(X10,sK39),skolemize(X12,sK40(X11)),skolemize(X13,sK41(X11)),skolemize(X14,sK42),skolemize(X21,sK43(X20))],[f44]) ).
fof(f46,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| p2(sK9(X2))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
! [X2,X0] :
( ~ p2(sK10(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f48,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| r1(sK9(X2),sK10(X2))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f49,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| r1(X2,sK9(X2))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0] :
( ~ p2(sK8(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f51,plain,
! [X0] :
( r1(X0,sK8(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| p2(sK12(X2))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f53,plain,
! [X2,X0] :
( ~ p2(sK13(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f54,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| r1(sK12(X2),sK13(X2))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| r1(X2,sK12(X2))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
! [X0] :
( ~ p2(sK11(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f57,plain,
! [X0] :
( r1(X0,sK11(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f96,plain,
! [X22,X23,X20] :
( ~ r1(sK43(X20),X22)
| p2(X20)
| ~ r1(sK32,X20)
| ~ r1(X22,X23)
| p2(X23)
| ~ p2(X22) ),
inference(cnf_transformation,[],[f45]) ).
fof(f97,plain,
! [X20] :
( ~ p2(sK43(X20))
| p2(X20)
| ~ r1(sK32,X20) ),
inference(cnf_transformation,[],[f45]) ).
fof(f98,plain,
! [X20] :
( r1(X20,sK43(X20))
| p2(X20)
| ~ r1(sK32,X20) ),
inference(cnf_transformation,[],[f45]) ).
fof(f110,plain,
! [X8] :
( ~ r1(sK32,X8)
| p3(sK38(X8))
| sP6(sK32) ),
inference(cnf_transformation,[],[f45]) ).
fof(f111,plain,
! [X8] :
( ~ r1(sK32,X8)
| r1(X8,sK38(X8))
| sP6(sK32) ),
inference(cnf_transformation,[],[f45]) ).
fof(f118,plain,
! [X3] :
( ~ r1(sK34,X3)
| ~ p3(X3)
| sP7(sK32) ),
inference(cnf_transformation,[],[f45]) ).
fof(f119,plain,
( r1(sK33,sK34)
| sP7(sK32) ),
inference(cnf_transformation,[],[f45]) ).
fof(f121,plain,
( r1(sK32,sK33)
| sP7(sK32) ),
inference(cnf_transformation,[],[f45]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f155,definition,
( spl44_8
<=> sP6(sK32) ),
introduced(definition,[new_symbols(definition,[spl44_8])],[avatar_definition]) ).
fof(f157,plain,
( sP6(sK32)
| ~ spl44_8 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f159,definition,
( spl44_9
<=> ! [X8] :
( ~ r1(sK32,X8)
| p3(sK38(X8)) ) ),
introduced(definition,[new_symbols(definition,[spl44_9])],[avatar_definition]) ).
fof(f160,plain,
( ! [X8] :
( ~ r1(sK32,X8)
| p3(sK38(X8)) )
| ~ spl44_9 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f161,plain,
( spl44_8
| spl44_9 ),
inference(avatar_split_clause,[],[f110,f159,f155]) ).
fof(f163,definition,
( spl44_10
<=> ! [X8] :
( ~ r1(sK32,X8)
| r1(X8,sK38(X8)) ) ),
introduced(definition,[new_symbols(definition,[spl44_10])],[avatar_definition]) ).
fof(f164,plain,
( ! [X8] :
( r1(X8,sK38(X8))
| ~ r1(sK32,X8) )
| ~ spl44_10 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f165,plain,
( spl44_8
| spl44_10 ),
inference(avatar_split_clause,[],[f111,f163,f155]) ).
fof(f167,definition,
( spl44_11
<=> sP7(sK32) ),
introduced(definition,[new_symbols(definition,[spl44_11])],[avatar_definition]) ).
fof(f169,plain,
( sP7(sK32)
| ~ spl44_11 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f171,definition,
( spl44_12
<=> ! [X3] :
( ~ r1(sK34,X3)
| ~ p3(X3) ) ),
introduced(definition,[new_symbols(definition,[spl44_12])],[avatar_definition]) ).
fof(f172,plain,
( ! [X3] :
( ~ r1(sK34,X3)
| ~ p3(X3) )
| ~ spl44_12 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f173,plain,
( spl44_11
| spl44_12 ),
inference(avatar_split_clause,[],[f118,f171,f167]) ).
fof(f175,definition,
( spl44_13
<=> r1(sK33,sK34) ),
introduced(definition,[new_symbols(definition,[spl44_13])],[avatar_definition]) ).
fof(f177,plain,
( r1(sK33,sK34)
| ~ spl44_13 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f178,plain,
( spl44_11
| spl44_13 ),
inference(avatar_split_clause,[],[f119,f175,f167]) ).
fof(f185,definition,
( spl44_15
<=> r1(sK32,sK33) ),
introduced(definition,[new_symbols(definition,[spl44_15])],[avatar_definition]) ).
fof(f187,plain,
( r1(sK32,sK33)
| ~ spl44_15 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f188,plain,
( spl44_11
| spl44_15 ),
inference(avatar_split_clause,[],[f121,f185,f167]) ).
fof(f197,plain,
( ~ p2(sK8(sK32))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f50,f169]) ).
fof(f198,plain,
( ~ p2(sK11(sK32))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f56,f157]) ).
fof(f199,plain,
( r1(sK32,sK8(sK32))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f51,f169]) ).
fof(f200,plain,
( ~ p2(sK43(sK8(sK32)))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f97,f197,f199]) ).
fof(f201,plain,
( r1(sK8(sK32),sK43(sK8(sK32)))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f98,f197,f199]) ).
fof(f202,plain,
( r1(sK32,sK11(sK32))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f57,f157]) ).
fof(f203,plain,
( ~ p2(sK43(sK11(sK32)))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f97,f198,f202]) ).
fof(f204,plain,
( r1(sK11(sK32),sK43(sK11(sK32)))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f98,f198,f202]) ).
fof(f219,plain,
( r1(sK32,sK43(sK8(sK32)))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f122,f199,f201]) ).
fof(f221,plain,
( r1(sK32,sK43(sK11(sK32)))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f122,f202,f204]) ).
fof(f274,plain,
( p2(sK9(sK43(sK8(sK32))))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f46,f169,f200,f219]) ).
fof(f275,plain,
( ~ p2(sK10(sK43(sK8(sK32))))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f47,f169,f200,f219]) ).
fof(f276,plain,
( r1(sK9(sK43(sK8(sK32))),sK10(sK43(sK8(sK32))))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f48,f169,f200,f219]) ).
fof(f277,plain,
( r1(sK43(sK8(sK32)),sK9(sK43(sK8(sK32))))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f49,f169,f200,f219]) ).
fof(f292,plain,
( p2(sK12(sK43(sK11(sK32))))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f52,f157,f203,f221]) ).
fof(f293,plain,
( ~ p2(sK13(sK43(sK11(sK32))))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f53,f157,f203,f221]) ).
fof(f294,plain,
( r1(sK12(sK43(sK11(sK32))),sK13(sK43(sK11(sK32))))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f54,f157,f203,f221]) ).
fof(f295,plain,
( r1(sK43(sK11(sK32)),sK12(sK43(sK11(sK32))))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f55,f157,f203,f221]) ).
fof(f516,plain,
( ~ r1(sK9(sK43(sK8(sK32))),sK10(sK43(sK8(sK32))))
| ~ spl44_11 ),
inference(unit_resulting_resolution,[],[f96,f275,f197,f199,f274,f277]) ).
fof(f546,plain,
( $false
| ~ spl44_11 ),
inference(forward_subsumption_resolution,[],[f516,f276]) ).
fof(f547,plain,
~ spl44_11,
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f554,plain,
( r1(sK32,sK34)
| ~ spl44_13
| ~ spl44_15 ),
inference(unit_resulting_resolution,[],[f122,f177,f187]) ).
fof(f610,plain,
( ~ r1(sK12(sK43(sK11(sK32))),sK13(sK43(sK11(sK32))))
| ~ spl44_8 ),
inference(unit_resulting_resolution,[],[f96,f293,f198,f202,f292,f295]) ).
fof(f622,plain,
( $false
| ~ spl44_8 ),
inference(forward_subsumption_resolution,[],[f610,f294]) ).
fof(f623,plain,
~ spl44_8,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f625,plain,
( p3(sK38(sK34))
| ~ spl44_9
| ~ spl44_13
| ~ spl44_15 ),
inference(unit_resulting_resolution,[],[f160,f554]) ).
fof(f638,plain,
( r1(sK34,sK38(sK34))
| ~ spl44_10
| ~ spl44_13
| ~ spl44_15 ),
inference(unit_resulting_resolution,[],[f164,f554]) ).
fof(f655,plain,
( ~ r1(sK34,sK38(sK34))
| ~ spl44_9
| ~ spl44_12
| ~ spl44_13
| ~ spl44_15 ),
inference(unit_resulting_resolution,[],[f172,f625]) ).
fof(f656,plain,
( $false
| ~ spl44_9
| ~ spl44_10
| ~ spl44_12
| ~ spl44_13
| ~ spl44_15 ),
inference(forward_subsumption_resolution,[],[f655,f638]) ).
fof(f657,plain,
( ~ spl44_9
| ~ spl44_10
| ~ spl44_12
| ~ spl44_13
| ~ spl44_15 ),
inference(avatar_contradiction_clause,[],[f656]) ).
cnf(s6,plain,
( spl44_8
| spl44_9 ),
inference(sat_conversion,[],[f161]) ).
cnf(s7,plain,
( spl44_8
| spl44_10 ),
inference(sat_conversion,[],[f165]) ).
cnf(s8,plain,
( spl44_11
| spl44_12 ),
inference(sat_conversion,[],[f173]) ).
cnf(s9,plain,
( spl44_11
| spl44_13 ),
inference(sat_conversion,[],[f178]) ).
cnf(s11,plain,
( spl44_11
| spl44_15 ),
inference(sat_conversion,[],[f188]) ).
cnf(s12,plain,
~ spl44_11,
inference(sat_conversion,[],[f547]) ).
cnf(s13,plain,
~ spl44_8,
inference(sat_conversion,[],[f623]) ).
cnf(s14,plain,
( ~ spl44_9
| ~ spl44_10
| ~ spl44_12
| ~ spl44_13
| ~ spl44_15 ),
inference(sat_conversion,[],[f657]) ).
cnf(s15,plain,
spl44_15,
inference(rat,[],[s11,s12]) ).
cnf(s17,plain,
spl44_13,
inference(rat,[],[s9,s12]) ).
cnf(s18,plain,
spl44_12,
inference(rat,[],[s8,s12]) ).
cnf(s19,plain,
spl44_10,
inference(rat,[],[s7,s13]) ).
cnf(s20,plain,
~ spl44_9,
inference(rat,[],[s14,s15,s17,s18,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s6,s20,s13]) ).
fof(f658,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL676+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.05/0.36 % CPULimit : 300
% 0.05/0.36 % WCLimit : 300
% 0.05/0.36 % DateTime : Sun Sep 27 16:33:17 UTC 2026
% 0.05/0.36 % CPUTime :
% 0.05/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.40 Running first-order theorem proving
% 0.05/0.40 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
% 4.01/1.53 % (4187214)Detected formulas, will run a generic FOF schedule.
% 4.01/1.53 % (4187223)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1089444338:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.01/1.53 % (4187223)Instruction limit reached!
% 4.01/1.53 % (4187223)------------------------------
% 4.01/1.53 % (4187223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (4187223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (4187223)CaDiCaL version: 2.1.3
% 4.01/1.53 % (4187223)Termination reason: Instruction limit
% 4.01/1.53 % (4187223)Termination phase: Saturation
% 4.01/1.53 % (4187223)Time elapsed: 0.035 s
% 4.01/1.53 % (4187223)Peak memory usage: 89 MB
% 4.01/1.53 % (4187223)Instructions burned: 121 (million)
% 4.01/1.53 % (4187220)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=3076948620:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.01/1.53 % (4187225)dis-21_1_sil=8000:lcm=predicate:random_seed=3976934083: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)
% 4.01/1.53 % (4187219)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=1463682539:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.01/1.53 % (4187222)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1597477025:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.01/1.53 % (4187221)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=4127559170:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.01/1.53 % (4187224)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3931287555:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.01/1.53 % (4187225)Instruction limit reached!
% 4.01/1.53 % (4187225)------------------------------
% 4.01/1.53 % (4187225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (4187225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (4187225)CaDiCaL version: 2.1.3
% 4.01/1.53 % (4187225)Termination reason: Instruction limit
% 4.01/1.53 % (4187225)Termination phase: Saturation
% 4.01/1.53 % (4187225)Time elapsed: 0.053 s
% 4.01/1.53 % (4187225)Peak memory usage: 88 MB
% 4.01/1.53 % (4187225)Instructions burned: 131 (million)
% 4.01/1.53 % (4187222)Instruction limit reached!
% 4.01/1.53 % (4187222)------------------------------
% 4.01/1.53 % (4187222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (4187222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (4187222)CaDiCaL version: 2.1.3
% 4.01/1.53 % (4187222)Termination reason: Instruction limit
% 4.01/1.53 % (4187222)Termination phase: Saturation
% 4.01/1.53 % (4187222)Time elapsed: 0.060 s
% 4.01/1.53 % (4187222)Peak memory usage: 89 MB
% 4.01/1.53 % (4187222)Instructions burned: 110 (million)
% 4.01/1.53 % (4187224)Instruction limit reached!
% 4.01/1.53 % (4187224)------------------------------
% 4.01/1.53 % (4187224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (4187224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (4187224)CaDiCaL version: 2.1.3
% 4.01/1.53 % (4187224)Termination reason: Instruction limit
% 4.01/1.53 % (4187224)Termination phase: Saturation
% 4.01/1.53 % (4187224)Time elapsed: 0.066 s
% 4.01/1.53 % (4187224)Peak memory usage: 88 MB
% 4.01/1.53 % (4187224)Instructions burned: 140 (million)
% 4.01/1.53 % (4187227)lrs+10_1_sil=8000:sp=occurrence:random_seed=1122638627:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.01/1.53 % (4187234)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1886378474:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.01/1.53 % (4187227)Instruction limit reached!
% 4.01/1.53 % (4187227)------------------------------
% 4.01/1.53 % (4187227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (4187227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (4187227)CaDiCaL version: 2.1.3
% 4.01/1.53 % (4187227)Termination reason: Instruction limit
% 4.01/1.53 % (4187227)Termination phase: Saturation
% 4.01/1.53 % (4187227)Time elapsed: 0.087 s
% 4.01/1.53 % (4187227)Peak memory usage: 92 MB
% 4.01/1.53 % (4187227)Instructions burned: 287 (million)
% 4.01/1.53 % (4187235)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2706792812:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.01/1.53 % (4187236)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=929663933:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.01/1.53 % (4187234)First to succeed.
% 4.01/1.53 % (4187234)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4187214"
% 4.01/1.53 % (4187235)Also succeeded, but the first one will report.
% 4.01/1.53 % (4187239)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1302372988:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.01/1.53 % (4187236)Instruction limit reached!
% 4.01/1.53 % (4187236)------------------------------
% 4.01/1.53 % (4187236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (4187236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (4187236)CaDiCaL version: 2.1.3
% 4.01/1.53 % (4187236)Termination reason: Instruction limit
% 4.01/1.53 % (4187236)Termination phase: Saturation
% 4.01/1.53 % (4187236)Time elapsed: 0.130 s
% 4.01/1.53 % (4187236)Peak memory usage: 89 MB
% 4.01/1.53 % (4187236)Instructions burned: 250 (million)
% 4.01/1.53 % (4187239)Instruction limit reached!
% 4.01/1.53 % (4187239)------------------------------
% 4.01/1.53 % (4187239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (4187239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (4187239)CaDiCaL version: 2.1.3
% 4.01/1.53 % (4187239)Termination reason: Instruction limit
% 4.01/1.53 % (4187239)Termination phase: Saturation
% 4.01/1.53 % (4187239)Time elapsed: 0.085 s
% 4.01/1.53 % (4187239)Peak memory usage: 91 MB
% 4.01/1.53 % (4187239)Instructions burned: 298 (million)
% 4.01/1.53 % (4187234)Refutation found. Thanks to Tanya!
% 4.01/1.53 % SZS status Theorem for theBenchmark
% 4.01/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.44/1.73 % (4187234)------------------------------
% 5.44/1.73 % (4187234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.73 % (4187234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.73 % (4187234)CaDiCaL version: 2.1.3
% 5.44/1.73 % (4187234)Termination reason: Refutation
% 5.44/1.73 % (4187234)Time elapsed: 0.052 s
% 5.44/1.73 % (4187234)Peak memory usage: 90 MB
% 5.44/1.73 % (4187234)Instructions burned: 102 (million)
% 5.44/1.73 % (4187234)------------------------------
% 5.44/1.73 % (4187234)------------------------------
% 5.44/1.73 % (4187214)Success in time 0.685 s
% 5.44/1.73 % Vampire exiting
%------------------------------------------------------------------------------