%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:59:46 AM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 87 ( 30 unt; 2 def)
% Number of atoms : 1154 ( 0 equ)
% Maximal formula atoms : 84 ( 13 avg)
% Number of connectives : 1975 ( 908 ~; 817 |; 250 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-1 aty)
% Number of variables : 712 ( 649 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ~ p12(X0)
& ~ p10(X0)
& ~ p8(X0)
& ~ p6(X0)
& ~ p4(X0)
& ~ p2(X0) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p7(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p5(X0)
& ~ p1(X0) )
| ( p1(X0)
& p5(X0) ) ) ) ) ) ) ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p6(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p4(X0)
& ~ p5(X0) )
| ( p5(X0)
& p4(X0) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p3(X0)
& ~ p4(X0) )
| ( p4(X0)
& p3(X0) ) ) ) ) ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p2(X0)
& ~ p3(X0) )
| ( p3(X0)
& p2(X0) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p1(X0)
& ~ p2(X0) )
| ( p2(X0)
& p1(X0) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( p6(X0)
& p5(X0)
& p4(X0)
& p3(X0)
& p2(X0)
& p1(X0) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ~ p12(X0)
& ~ p10(X0)
& ~ p8(X0)
& ~ p6(X0)
& ~ p4(X0)
& ~ p2(X0) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p7(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p5(X0)
& ~ p1(X0) )
| ( p1(X0)
& p5(X0) ) ) ) ) ) ) ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p6(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p4(X0)
& ~ p5(X0) )
| ( p5(X0)
& p4(X0) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p3(X0)
& ~ p4(X0) )
| ( p4(X0)
& p3(X0) ) ) ) ) ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p2(X0)
& ~ p3(X0) )
| ( p3(X0)
& p2(X0) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p1(X0)
& ~ p2(X0) )
| ( p2(X0)
& p1(X0) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( p6(X0)
& p5(X0)
& p4(X0)
& p3(X0)
& p2(X0)
& p1(X0) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( ~ p12(X6)
& ~ p10(X6)
& ~ p8(X6)
& ~ p6(X6)
& ~ p4(X6)
& ~ p2(X6) ) ) ) ) ) ) )
| ! [X7] :
( ~ r1(X0,X7)
| p7(X7) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( ~ p5(X15)
& ~ p1(X15) )
| ( p1(X15)
& p5(X15) ) ) ) ) ) ) ) ) )
| ! [X16] :
( ~ r1(X8,X16)
| p6(X16) )
| ~ ! [X17] :
( ~ r1(X8,X17)
| ~ ( ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ~ ( ( ~ p4(X23)
& ~ p5(X23) )
| ( p5(X23)
& p4(X23) ) ) ) ) ) ) ) )
| ! [X24] :
( ~ r1(X17,X24)
| p5(X24) )
| ~ ! [X25] :
( ~ r1(X17,X25)
| ~ ( ~ ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ~ ( ( ~ p3(X30)
& ~ p4(X30) )
| ( p4(X30)
& p3(X30) ) ) ) ) ) ) )
| ! [X31] :
( ~ r1(X25,X31)
| p4(X31) )
| ~ ! [X32] :
( ~ r1(X25,X32)
| ~ ( ~ ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ~ ( ( ~ p2(X36)
& ~ p3(X36) )
| ( p3(X36)
& p2(X36) ) ) ) ) ) )
| ! [X37] :
( ~ r1(X32,X37)
| p3(X37) )
| ~ ! [X38] :
( ~ r1(X32,X38)
| ~ ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ~ ( ( ~ p1(X41)
& ~ p2(X41) )
| ( p2(X41)
& p1(X41) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ( p6(X47)
& p5(X47)
& p4(X47)
& p3(X47)
& p2(X47)
& p1(X47) ) ) ) ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( ~ p12(X6)
& ~ p10(X6)
& ~ p8(X6)
& ~ p6(X6)
& ~ p4(X6)
& ~ p2(X6) ) ) ) ) ) ) )
| ! [X7] :
( ~ r1(X0,X7)
| p7(X7) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( ~ p5(X15)
& ~ p1(X15) )
| ( p1(X15)
& p5(X15) ) ) ) ) ) ) ) ) )
| ! [X16] :
( ~ r1(X8,X16)
| p6(X16) )
| ~ ! [X17] :
( ~ r1(X8,X17)
| ~ ( ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ~ ( ( ~ p4(X23)
& ~ p5(X23) )
| ( p5(X23)
& p4(X23) ) ) ) ) ) ) ) )
| ! [X24] :
( ~ r1(X17,X24)
| p5(X24) )
| ~ ! [X25] :
( ~ r1(X17,X25)
| ~ ( ~ ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ~ ( ( ~ p3(X30)
& ~ p4(X30) )
| ( p4(X30)
& p3(X30) ) ) ) ) ) ) )
| ! [X31] :
( ~ r1(X25,X31)
| p4(X31) )
| ~ ! [X32] :
( ~ r1(X25,X32)
| ~ ( ~ ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ~ ( ( ~ p2(X36)
& ~ p3(X36) )
| ( p3(X36)
& p2(X36) ) ) ) ) ) )
| ! [X37] :
( ~ r1(X32,X37)
| p3(X37) )
| ~ ! [X38] :
( ~ r1(X32,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ~ ( ( ~ p1(X41)
& ~ p2(X41) )
| ( p2(X41)
& p1(X41) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ( p6(X47)
& p5(X47)
& p4(X47)
& p3(X47)
& p2(X47)
& p1(X47) ) ) ) ) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( ~ p12(X6)
& ~ p10(X6)
& ~ p8(X6)
& ~ p6(X6)
& ~ p4(X6)
& ~ p2(X6) ) ) ) ) ) ) )
| ! [X7] : ~ r1(X0,X7)
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( ~ p5(X15)
& ~ p1(X15) )
| ( p1(X15)
& p5(X15) ) ) ) ) ) ) ) ) )
| ! [X16] :
( ~ r1(X8,X16)
| p6(X16) )
| ~ ! [X17] :
( ~ r1(X8,X17)
| ~ ( ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ~ ( ( ~ p4(X23)
& ~ p5(X23) )
| ( p5(X23)
& p4(X23) ) ) ) ) ) ) ) )
| ! [X24] :
( ~ r1(X17,X24)
| p5(X24) )
| ~ ! [X25] :
( ~ r1(X17,X25)
| ~ ( ~ ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ~ ( ( ~ p3(X30)
& ~ p4(X30) )
| ( p4(X30)
& p3(X30) ) ) ) ) ) ) )
| ! [X31] :
( ~ r1(X25,X31)
| p4(X31) )
| ~ ! [X32] :
( ~ r1(X25,X32)
| ~ ( ~ ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ~ ( ( ~ p2(X36)
& ~ p3(X36) )
| ( p3(X36)
& p2(X36) ) ) ) ) ) )
| ! [X37] :
( ~ r1(X32,X37)
| p3(X37) )
| ~ ! [X38] :
( ~ r1(X32,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ~ ( ( ~ p1(X41)
& ~ p2(X41) )
| ( p2(X41)
& p1(X41) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ( p6(X47)
& p5(X47)
& p4(X47)
& p3(X47)
& p2(X47)
& p1(X47) ) ) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] : ~ r1(X5,X6) ) ) ) ) )
| ! [X7] : ~ r1(X0,X7)
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( ~ p5(X15)
& ~ p1(X15) )
| ( p1(X15)
& p5(X15) ) ) ) ) ) ) ) ) )
| ! [X16] :
( ~ r1(X8,X16)
| p6(X16) )
| ~ ! [X17] :
( ~ r1(X8,X17)
| ~ ( ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ~ ( ( ~ p4(X23)
& ~ p5(X23) )
| ( p5(X23)
& p4(X23) ) ) ) ) ) ) ) )
| ! [X24] :
( ~ r1(X17,X24)
| p5(X24) )
| ~ ! [X25] :
( ~ r1(X17,X25)
| ~ ( ~ ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ~ ( ( ~ p3(X30)
& ~ p4(X30) )
| ( p4(X30)
& p3(X30) ) ) ) ) ) ) )
| ! [X31] :
( ~ r1(X25,X31)
| p4(X31) )
| ~ ! [X32] :
( ~ r1(X25,X32)
| ~ ( ~ ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ~ ( ( ~ p2(X36)
& ~ p3(X36) )
| ( p3(X36)
& p2(X36) ) ) ) ) ) )
| ! [X37] :
( ~ r1(X32,X37)
| p3(X37) )
| ~ ! [X38] :
( ~ r1(X32,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ~ ( ( ~ p1(X41)
& ~ p2(X41) )
| ( p2(X41)
& p1(X41) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ( p6(X47)
& p5(X47)
& p4(X47)
& p3(X47)
& p2(X47)
& p1(X47) ) ) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] : ~ r1(X5,X6) ) ) ) ) )
| ! [X7] : ~ r1(X0,X7)
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ~ ( ( ~ p5(X15)
& ~ p1(X15) )
| ( p1(X15)
& p5(X15) ) ) ) ) ) ) ) ) )
| ! [X16] : ~ r1(X8,X16)
| ~ ! [X17] :
( ~ r1(X8,X17)
| ~ ( ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ~ ( ( ~ p4(X23)
& ~ p5(X23) )
| ( p5(X23)
& p4(X23) ) ) ) ) ) ) ) )
| ! [X24] :
( ~ r1(X17,X24)
| p5(X24) )
| ~ ! [X25] :
( ~ r1(X17,X25)
| ~ ( ~ ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ~ ( ( ~ p3(X30)
& ~ p4(X30) )
| ( p4(X30)
& p3(X30) ) ) ) ) ) ) )
| ! [X31] :
( ~ r1(X25,X31)
| p4(X31) )
| ~ ! [X32] :
( ~ r1(X25,X32)
| ~ ( ~ ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ~ ( ( ~ p2(X36)
& ~ p3(X36) )
| ( p3(X36)
& p2(X36) ) ) ) ) ) )
| ! [X37] :
( ~ r1(X32,X37)
| p3(X37) )
| ~ ! [X38] :
( ~ r1(X32,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ~ ( ( ~ p1(X41)
& ~ p2(X41) )
| ( p2(X41)
& p1(X41) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] : ~ r1(X46,X47) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f9,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ? [X6] : r1(X5,X6) ) ) ) ) )
& ? [X7] : r1(X0,X7)
& ! [X8] :
( ~ r1(X0,X8)
| ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ( ( p5(X15)
| p1(X15) )
& ( ~ p1(X15)
| ~ p5(X15) ) ) ) ) ) ) ) ) )
& ? [X16] : r1(X8,X16)
& ! [X17] :
( ~ r1(X8,X17)
| ( ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ( ( p4(X23)
| p5(X23) )
& ( ~ p5(X23)
| ~ p4(X23) ) ) ) ) ) ) ) )
& ? [X24] :
( r1(X17,X24)
& ~ p5(X24) )
& ! [X25] :
( ~ r1(X17,X25)
| ( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ( ( p3(X30)
| p4(X30) )
& ( ~ p4(X30)
| ~ p3(X30) ) ) ) ) ) ) )
& ? [X31] :
( r1(X25,X31)
& ~ p4(X31) )
& ! [X32] :
( ~ r1(X25,X32)
| ( ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ( ( p2(X36)
| p3(X36) )
& ( ~ p3(X36)
| ~ p2(X36) ) ) ) ) ) )
& ? [X37] :
( r1(X32,X37)
& ~ p3(X37) )
& ! [X38] :
( ~ r1(X32,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ( ( p1(X41)
| p2(X41) )
& ( ~ p2(X41)
| ~ p1(X41) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ? [X47] : r1(X46,X47) ) ) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f10,definition,
! [X25] :
( ! [X32] :
( ~ r1(X25,X32)
| ( ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ( ( p2(X36)
| p3(X36) )
& ( ~ p3(X36)
| ~ p2(X36) ) ) ) ) ) )
& ? [X37] :
( r1(X32,X37)
& ~ p3(X37) )
& ! [X38] :
( ~ r1(X32,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ( ( p1(X41)
| p2(X41) )
& ( ~ p2(X41)
| ~ p1(X41) ) ) ) ) ) ) ) )
| ~ sP0(X25) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X17] :
( ! [X25] :
( ~ r1(X17,X25)
| ( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ( ( p3(X30)
| p4(X30) )
& ( ~ p4(X30)
| ~ p3(X30) ) ) ) ) ) ) )
& ? [X31] :
( r1(X25,X31)
& ~ p4(X31) )
& sP0(X25) ) )
| ~ sP1(X17) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ? [X6] : r1(X5,X6) ) ) ) ) )
& ? [X7] : r1(X0,X7)
& ! [X8] :
( ~ r1(X0,X8)
| ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ( ( p5(X15)
| p1(X15) )
& ( ~ p1(X15)
| ~ p5(X15) ) ) ) ) ) ) ) ) )
& ? [X16] : r1(X8,X16)
& ! [X17] :
( ~ r1(X8,X17)
| ( ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ( ( p4(X23)
| p5(X23) )
& ( ~ p5(X23)
| ~ p4(X23) ) ) ) ) ) ) ) )
& ? [X24] :
( r1(X17,X24)
& ~ p5(X24) )
& sP1(X17) ) ) ) )
& ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ? [X47] : r1(X46,X47) ) ) ) ) ) ),
inference(definition_folding,[],[f9,f11,f10]) ).
fof(f13,plain,
! [X17] :
( ! [X25] :
( ~ r1(X17,X25)
| ( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ( ( p3(X30)
| p4(X30) )
& ( ~ p4(X30)
| ~ p3(X30) ) ) ) ) ) ) )
& ? [X31] :
( r1(X25,X31)
& ~ p4(X31) )
& sP0(X25) ) )
| ~ sP1(X17) ),
inference(nnf_transformation,[],[f11]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( ( p3(X6)
| p4(X6) )
& ( ~ p4(X6)
| ~ p3(X6) ) ) ) ) ) ) )
& ? [X7] :
( r1(X1,X7)
& ~ p4(X7) )
& sP0(X1) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( ( p3(X6)
| p4(X6) )
& ( ~ p4(X6)
| ~ p3(X6) ) ) ) ) ) ) )
& r1(X1,sK2(X1))
& ~ p4(sK2(X1))
& sP0(X1) ) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X7,sK2(X1))],[f14]) ).
fof(f16,plain,
! [X25] :
( ! [X32] :
( ~ r1(X25,X32)
| ( ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ( ( p2(X36)
| p3(X36) )
& ( ~ p3(X36)
| ~ p2(X36) ) ) ) ) ) )
& ? [X37] :
( r1(X32,X37)
& ~ p3(X37) )
& ! [X38] :
( ~ r1(X32,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ( ( p1(X41)
| p2(X41) )
& ( ~ p2(X41)
| ~ p1(X41) ) ) ) ) ) ) ) )
| ~ sP0(X25) ),
inference(nnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ( ( p2(X5)
| p3(X5) )
& ( ~ p3(X5)
| ~ p2(X5) ) ) ) ) ) )
& ? [X6] :
( r1(X1,X6)
& ~ p3(X6) )
& ! [X7] :
( ~ r1(X1,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( p1(X10)
| p2(X10) )
& ( ~ p2(X10)
| ~ p1(X10) ) ) ) ) ) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ( ( p2(X5)
| p3(X5) )
& ( ~ p3(X5)
| ~ p2(X5) ) ) ) ) ) )
& r1(X1,sK3(X1))
& ~ p3(sK3(X1))
& ! [X7] :
( ~ r1(X1,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ( p1(X10)
| p2(X10) )
& ( ~ p2(X10)
| ~ p1(X10) ) ) ) ) ) ) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X6,sK3(X1))],[f17]) ).
fof(f19,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ? [X6] : r1(X5,X6) ) ) ) ) )
& ? [X7] : r1(X0,X7)
& ! [X8] :
( ~ r1(X0,X8)
| ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ( ( p5(X15)
| p1(X15) )
& ( ~ p1(X15)
| ~ p5(X15) ) ) ) ) ) ) ) ) )
& ? [X16] : r1(X8,X16)
& ! [X17] :
( ~ r1(X8,X17)
| ( ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ( ( p4(X23)
| p5(X23) )
& ( ~ p5(X23)
| ~ p4(X23) ) ) ) ) ) ) ) )
& ? [X24] :
( r1(X17,X24)
& ~ p5(X24) )
& sP1(X17) ) ) ) )
& ? [X25] :
( r1(X0,X25)
& ? [X26] :
( r1(X25,X26)
& ? [X27] :
( r1(X26,X27)
& ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ? [X30] : r1(X29,X30) ) ) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f20,plain,
( r1(sK4,sK5)
& r1(sK5,sK6)
& r1(sK6,sK7)
& r1(sK7,sK8)
& r1(sK8,sK9)
& r1(sK9,sK10)
& r1(sK4,sK11)
& ! [X8] :
( ~ r1(sK4,X8)
| ( ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ( ( p5(X15)
| p1(X15) )
& ( ~ p1(X15)
| ~ p5(X15) ) ) ) ) ) ) ) ) )
& r1(X8,sK12(X8))
& ! [X17] :
( ~ r1(X8,X17)
| ( ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ( ( p4(X23)
| p5(X23) )
& ( ~ p5(X23)
| ~ p4(X23) ) ) ) ) ) ) ) )
& r1(X17,sK13(X17))
& ~ p5(sK13(X17))
& sP1(X17) ) ) ) )
& r1(sK4,sK14)
& r1(sK14,sK15)
& r1(sK15,sK16)
& r1(sK16,sK17)
& r1(sK17,sK18)
& r1(sK18,sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7),skolemize(X4,sK8),skolemize(X5,sK9),skolemize(X6,sK10),skolemize(X7,sK11),skolemize(X16,sK12(X8)),skolemize(X24,sK13(X17)),skolemize(X25,sK14),skolemize(X26,sK15),skolemize(X27,sK16),skolemize(X28,sK17),skolemize(X29,sK18),skolemize(X30,sK19)],[f19]) ).
fof(f21,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| sP0(X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p4(sK2(X1))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK2(X1))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ p4(X6)
| ~ p3(X6)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| p3(X6)
| p4(X6)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
! [X10,X0,X1,X8,X9,X7] :
( ~ r1(X0,X1)
| ~ r1(X1,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ p2(X10)
| ~ p1(X10)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X10,X0,X1,X8,X9,X7] :
( ~ r1(X0,X1)
| ~ r1(X1,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| p1(X10)
| p2(X10)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p3(sK3(X1))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK3(X1))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ p3(X5)
| ~ p2(X5)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| p2(X5)
| p3(X5)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
r1(sK18,sK19),
inference(cnf_transformation,[],[f20]) ).
fof(f34,plain,
r1(sK17,sK18),
inference(cnf_transformation,[],[f20]) ).
fof(f35,plain,
r1(sK16,sK17),
inference(cnf_transformation,[],[f20]) ).
fof(f36,plain,
r1(sK15,sK16),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
r1(sK14,sK15),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
r1(sK4,sK14),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X8,X17] :
( ~ r1(sK4,X8)
| ~ r1(X8,X17)
| sP1(X17) ),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
! [X8,X17] :
( ~ r1(sK4,X8)
| ~ r1(X8,X17)
| ~ p5(sK13(X17)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X8,X17] :
( ~ r1(sK4,X8)
| ~ r1(X8,X17)
| r1(X17,sK13(X17)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f42,plain,
! [X21,X18,X8,X19,X17,X22,X23,X20] :
( ~ r1(sK4,X8)
| ~ r1(X8,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| ~ p5(X23)
| ~ p4(X23) ),
inference(cnf_transformation,[],[f20]) ).
fof(f43,plain,
! [X21,X18,X8,X19,X17,X22,X23,X20] :
( ~ r1(sK4,X8)
| ~ r1(X8,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| p4(X23)
| p5(X23) ),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X8] :
( ~ r1(sK4,X8)
| r1(X8,sK12(X8)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f45,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( ~ r1(sK4,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X15)
| ~ p1(X15)
| ~ p5(X15) ),
inference(cnf_transformation,[],[f20]) ).
fof(f46,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( ~ r1(sK4,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X15)
| p5(X15)
| p1(X15) ),
inference(cnf_transformation,[],[f20]) ).
fof(f47,plain,
r1(sK4,sK11),
inference(cnf_transformation,[],[f20]) ).
fof(f48,plain,
r1(sK9,sK10),
inference(cnf_transformation,[],[f20]) ).
fof(f49,plain,
r1(sK8,sK9),
inference(cnf_transformation,[],[f20]) ).
fof(f50,plain,
r1(sK7,sK8),
inference(cnf_transformation,[],[f20]) ).
fof(f51,plain,
r1(sK6,sK7),
inference(cnf_transformation,[],[f20]) ).
fof(f52,plain,
r1(sK5,sK6),
inference(cnf_transformation,[],[f20]) ).
fof(f53,plain,
r1(sK4,sK5),
inference(cnf_transformation,[],[f20]) ).
fof(f54,plain,
! [X0] : ~ r1(X0,X0),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r1(X0,X1)
| r1(X1,X2)
| r1(X2,X3)
| r1(X3,X4)
| r1(X4,X5)
| r1(X5,X6)
| p3(X6)
| p4(X6)
| sP1(X0) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f56,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r1(X0,X1)
| r1(X1,X2)
| r1(X2,X3)
| r1(X3,X4)
| r1(X4,X5)
| r1(X5,X6)
| ~ p4(X6)
| ~ p3(X6)
| sP1(X0) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f57,plain,
! [X0,X1] :
( r1(X0,X1)
| ~ r1(X1,sK2(X1))
| sP1(X0) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f58,plain,
! [X0,X1] :
( r1(X0,X1)
| ~ p4(sK2(X1))
| sP1(X0) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f59,plain,
! [X0,X1] :
( r1(X0,X1)
| ~ sP0(X1)
| sP1(X0) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1(X0,X1)
| r1(X1,X2)
| r1(X2,X3)
| r1(X3,X4)
| r1(X4,X5)
| p2(X5)
| p3(X5)
| sP0(X0) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1(X0,X1)
| r1(X1,X2)
| r1(X2,X3)
| r1(X3,X4)
| r1(X4,X5)
| ~ p3(X5)
| ~ p2(X5)
| sP0(X0) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f62,plain,
! [X0,X1] :
( r1(X0,X1)
| ~ r1(X1,sK3(X1))
| sP0(X0) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f63,plain,
! [X0,X1] :
( r1(X0,X1)
| ~ p3(sK3(X1))
| sP0(X0) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f64,plain,
! [X10,X0,X1,X8,X9,X7] :
( r1(X0,X1)
| r1(X1,X7)
| r1(X7,X8)
| r1(X8,X9)
| r1(X9,X10)
| p1(X10)
| p2(X10)
| sP0(X0) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f65,plain,
! [X10,X0,X1,X8,X9,X7] :
( r1(X0,X1)
| r1(X1,X7)
| r1(X7,X8)
| r1(X8,X9)
| r1(X9,X10)
| ~ p2(X10)
| ~ p1(X10)
| sP0(X0) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f66,plain,
~ r1(sK4,sK5),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f67,plain,
~ r1(sK5,sK6),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f68,plain,
~ r1(sK6,sK7),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f69,plain,
~ r1(sK7,sK8),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f70,plain,
~ r1(sK8,sK9),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f71,plain,
~ r1(sK9,sK10),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f72,plain,
~ r1(sK4,sK11),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f73,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( r1(sK4,X8)
| r1(X8,X9)
| r1(X9,X10)
| r1(X10,X11)
| r1(X11,X12)
| r1(X12,X13)
| r1(X13,X14)
| r1(X14,X15)
| ~ p5(X15)
| p1(X15) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f74,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( r1(sK4,X8)
| r1(X8,X9)
| r1(X9,X10)
| r1(X10,X11)
| r1(X11,X12)
| r1(X12,X13)
| r1(X13,X14)
| r1(X14,X15)
| ~ p1(X15)
| p5(X15) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f75,plain,
! [X8] :
( r1(sK4,X8)
| ~ r1(X8,sK12(X8)) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f76,plain,
! [X21,X18,X8,X19,X17,X22,X23,X20] :
( r1(sK4,X8)
| r1(X8,X17)
| r1(X17,X18)
| r1(X18,X19)
| r1(X19,X20)
| r1(X20,X21)
| r1(X21,X22)
| r1(X22,X23)
| p4(X23)
| ~ p5(X23) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f77,plain,
! [X21,X18,X8,X19,X17,X22,X23,X20] :
( r1(sK4,X8)
| r1(X8,X17)
| r1(X17,X18)
| r1(X18,X19)
| r1(X19,X20)
| r1(X20,X21)
| r1(X21,X22)
| r1(X22,X23)
| p5(X23)
| ~ p4(X23) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f78,plain,
! [X8,X17] :
( r1(sK4,X8)
| r1(X8,X17)
| ~ r1(X17,sK13(X17)) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f79,plain,
! [X8,X17] :
( r1(sK4,X8)
| r1(X8,X17)
| p5(sK13(X17)) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f80,plain,
! [X8,X17] :
( r1(sK4,X8)
| r1(X8,X17)
| ~ sP1(X17) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f81,plain,
~ r1(sK4,sK14),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f82,plain,
~ r1(sK14,sK15),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f83,plain,
~ r1(sK15,sK16),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f84,plain,
~ r1(sK16,sK17),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f85,plain,
~ r1(sK17,sK18),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f86,plain,
~ r1(sK18,sK19),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f240,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f54,f55,f56,f57,f58,f59,f60,f61,f62,f63,f64,f65,f66,f67,f68,f69,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f80,f81,f82,f83,f84,f85,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n003.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 16:29:26 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % (763552)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (763560)dis+10_1_sil=32000:sp=arity:random_seed=2939847953:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (763558)% WARNING: option uhcvi not known.
% 0.18/0.47 % (763557)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2611896057_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (763558)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=599916809:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (763559)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1538503417:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (763561)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3706595059:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (763562)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1124826849:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (763563)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1000404104:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % (763557) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-763552-763557"...
% 0.18/0.47 % (763557)...printing done.
% 0.18/0.47 % (763557)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (763557)------------------------------
% 0.18/0.47 % (763557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (763557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (763557)CaDiCaL version: 2.1.3
% 0.18/0.47 % (763557)Termination reason: Refutation
% 0.18/0.47 % (763557)Time elapsed: 0.008 s
% 0.18/0.47 % (763557)Peak memory usage: 11 MB
% 0.18/0.47 % (763557)Instructions burned: 14 (million)
% 0.18/0.47 % (763552)Success in time 0.043 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------