%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL670+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 11:55:40 AM UTC 2026
% Result : Theorem 4.66s 1.24s
% Output : Refutation 5.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 116 ( 19 unt; 10 def)
% Number of atoms : 843 ( 0 equ)
% Maximal formula atoms : 49 ( 7 avg)
% Number of connectives : 1445 ( 718 ~; 586 |; 132 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 10 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-1 aty)
% Number of variables : 438 ( 0 sgn 369 !; 69 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) )
| ~ p2(X4) ) )
| ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ( ! [X8] :
( ~ r1(X7,X8)
| p3(X8) )
| ~ p2(X7) ) )
& p2(X6)
& ~ ! [X9] :
( ~ r1(X6,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) )
| ( ~ ! [X12] :
( ~ r1(X2,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p3(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(X2,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
| ~ ! [X18] :
( ~ r1(X0,X18)
| ~ ( ~ ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
& ! [X21] :
( ~ r1(X18,X21)
| p1(X21) ) ) )
| ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
| ! [X25] :
( ~ r1(X22,X25)
| p1(X25) ) )
| ! [X26] :
( ~ r1(X0,X26)
| ~ ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| p2(X28) ) ) )
| ~ ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ~ p1(X31) ) )
| ~ ! [X32] :
( ~ r1(X29,X32)
| ~ p1(X32) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p3(X5) )
| ~ p2(X4) ) )
| ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ( ! [X8] :
( ~ r1(X7,X8)
| p3(X8) )
| ~ p2(X7) ) )
& p2(X6)
& ~ ! [X9] :
( ~ r1(X6,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) )
| ( ~ ! [X12] :
( ~ r1(X2,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p3(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(X2,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
| ~ ! [X18] :
( ~ r1(X0,X18)
| ~ ( ~ ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
& ! [X21] :
( ~ r1(X18,X21)
| p1(X21) ) ) )
| ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
| ! [X25] :
( ~ r1(X22,X25)
| p1(X25) ) )
| ! [X26] :
( ~ r1(X0,X26)
| ~ ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| p2(X28) ) ) )
| ~ ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ~ p1(X31) ) )
| ~ ! [X32] :
( ~ r1(X29,X32)
| ~ p1(X32) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5)
| ~ p2(X4) ) )
| ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ( ! [X8] : ~ r1(X7,X8)
| ~ p2(X7) ) )
& p2(X6)
& ~ ! [X9] :
( ~ r1(X6,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) )
| ( ~ ! [X12] :
( ~ r1(X2,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ! [X15] : ~ r1(X14,X15)
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(X2,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
| ~ ! [X18] :
( ~ r1(X0,X18)
| ~ ( ~ ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
& ! [X21] :
( ~ r1(X18,X21)
| p1(X21) ) ) )
| ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
| ! [X25] :
( ~ r1(X22,X25)
| p1(X25) ) )
| ! [X26] :
( ~ r1(X0,X26)
| ~ ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| p2(X28) ) ) )
| ~ ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ~ p1(X31) ) )
| ~ ! [X32] :
( ~ r1(X29,X32)
| ~ p1(X32) ) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5)
| ~ p2(X4) ) )
| ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ~ ( ! [X8] : ~ r1(X7,X8)
| ~ p2(X7) ) )
& p2(X6)
& ~ ! [X9] :
( ~ r1(X6,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) ) )
| ( ~ ! [X12] :
( ~ r1(X2,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ! [X15] : ~ r1(X14,X15)
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(X2,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
| ~ ! [X18] :
( ~ r1(X0,X18)
| ~ ( ~ ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
& ! [X21] :
( ~ r1(X18,X21)
| p1(X21) ) ) )
| ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
| ! [X25] :
( ~ r1(X22,X25)
| p1(X25) ) )
| ! [X26] :
( ~ r1(X0,X26)
| ~ ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| p2(X28) ) ) )
| ~ ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ~ p1(X31) ) )
| ~ ! [X32] :
( ~ r1(X29,X32)
| ~ p1(X32) ) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ( ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] : r1(X4,X5)
& p2(X4) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ( ? [X8] : r1(X7,X8)
& p2(X7) ) )
| ~ p2(X6)
| ! [X9] :
( ~ r1(X6,X9)
| ? [X10] :
( r1(X9,X10)
& ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) )
& ( ! [X12] :
( ~ r1(X2,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] : r1(X14,X15)
& p2(X14) ) ) )
| ? [X16] :
( r1(X2,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
& ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
| ? [X21] :
( r1(X18,X21)
& ~ p1(X21) ) )
& ? [X22] :
( r1(X0,X22)
& ? [X23] :
( r1(X22,X23)
& ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
& ? [X25] :
( r1(X22,X25)
& ~ p1(X25) ) )
& ? [X26] :
( r1(X0,X26)
& ! [X27] :
( ~ r1(X26,X27)
| ? [X28] :
( r1(X27,X28)
& ~ p2(X28) ) ) )
& ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ~ p1(X31) ) )
| ? [X32] :
( r1(X29,X32)
& p1(X32) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ( ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] : r1(X4,X5)
& p2(X4) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ( ? [X8] : r1(X7,X8)
& p2(X7) ) )
| ~ p2(X6)
| ! [X9] :
( ~ r1(X6,X9)
| ? [X10] :
( r1(X9,X10)
& ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) )
& ( ! [X12] :
( ~ r1(X2,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] : r1(X14,X15)
& p2(X14) ) ) )
| ? [X16] :
( r1(X2,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
& ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
| ? [X21] :
( r1(X18,X21)
& ~ p1(X21) ) )
& ? [X22] :
( r1(X0,X22)
& ? [X23] :
( r1(X22,X23)
& ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
& ? [X25] :
( r1(X22,X25)
& ~ p1(X25) ) )
& ? [X26] :
( r1(X0,X26)
& ! [X27] :
( ~ r1(X26,X27)
| ? [X28] :
( r1(X27,X28)
& ~ p2(X28) ) ) )
& ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ~ p1(X31) ) )
| ? [X32] :
( r1(X29,X32)
& p1(X32) ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,definition,
! [X2] :
( ! [X12] :
( ~ r1(X2,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] : r1(X14,X15)
& p2(X14) ) ) )
| ? [X16] :
( r1(X2,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) )
| ~ sP0(X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ( ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] : r1(X4,X5)
& p2(X4) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ( ? [X8] : r1(X7,X8)
& p2(X7) ) )
| ~ p2(X6)
| ! [X9] :
( ~ r1(X6,X9)
| ? [X10] :
( r1(X9,X10)
& ! [X11] :
( ~ r1(X10,X11)
| ~ p2(X11) ) ) ) )
& sP0(X2) ) )
& ! [X18] :
( ~ r1(X0,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) )
| ? [X21] :
( r1(X18,X21)
& ~ p1(X21) ) )
& ? [X22] :
( r1(X0,X22)
& ? [X23] :
( r1(X22,X23)
& ! [X24] :
( ~ r1(X23,X24)
| p1(X24) ) )
& ? [X25] :
( r1(X22,X25)
& ~ p1(X25) ) )
& ? [X26] :
( r1(X0,X26)
& ! [X27] :
( ~ r1(X26,X27)
| ? [X28] :
( r1(X27,X28)
& ~ p2(X28) ) ) )
& ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ~ p1(X31) ) )
| ? [X32] :
( r1(X29,X32)
& p1(X32) ) ) ),
inference(definition_folding,[],[f9,f10]) ).
fof(f12,plain,
! [X2] :
( ! [X12] :
( ~ r1(X2,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] : r1(X14,X15)
& p2(X14) ) ) )
| ? [X16] :
( r1(X2,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) )
| ~ sP0(X2) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4)
& p2(X3) ) ) )
| ? [X5] :
( r1(X0,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK1(X2))
& r1(sK1(X2),sK2(X2))
& p2(sK1(X2)) ) ) )
| ( r1(X0,sK3(X0))
& ! [X6] :
( ~ r1(sK3(X0),X6)
| ~ p2(X6) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X3,sK1(X2)),skolemize(X4,sK2(X2)),skolemize(X5,sK3(X0))],[f13]) ).
fof(f15,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4)
& p2(X3) ) )
& ! [X5] :
( ~ r1(X1,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( ? [X7] : r1(X6,X7)
& p2(X6) ) )
| ~ p2(X5)
| ! [X8] :
( ~ r1(X5,X8)
| ? [X9] :
( r1(X8,X9)
& ! [X10] :
( ~ r1(X9,X10)
| ~ p2(X10) ) ) ) )
& sP0(X1) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
| ? [X14] :
( r1(X11,X14)
& ~ p1(X14) ) )
& ? [X15] :
( r1(X0,X15)
& ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| p1(X17) ) )
& ? [X18] :
( r1(X15,X18)
& ~ p1(X18) ) )
& ? [X19] :
( r1(X0,X19)
& ! [X20] :
( ~ r1(X19,X20)
| ? [X21] :
( r1(X20,X21)
& ~ p2(X21) ) ) )
& ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ~ p1(X24) ) )
| ? [X25] :
( r1(X22,X25)
& p1(X25) ) ) ),
inference(rectify,[],[f11]) ).
fof(f16,plain,
( ! [X1] :
( ~ r1(sK4,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK5(X2))
& r1(sK5(X2),sK6(X2))
& p2(sK5(X2)) ) )
& ! [X5] :
( ~ r1(X1,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( r1(X6,sK7(X6))
& p2(X6) ) )
| ~ p2(X5)
| ! [X8] :
( ~ r1(X5,X8)
| ( r1(X8,sK8(X8))
& ! [X10] :
( ~ r1(sK8(X8),X10)
| ~ p2(X10) ) ) ) )
& sP0(X1) ) )
& ! [X11] :
( ~ r1(sK4,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
| ( r1(X11,sK9(X11))
& ~ p1(sK9(X11)) ) )
& r1(sK4,sK10)
& r1(sK10,sK11)
& ! [X17] :
( ~ r1(sK11,X17)
| p1(X17) )
& r1(sK10,sK12)
& ~ p1(sK12)
& r1(sK4,sK13)
& ! [X20] :
( ~ r1(sK13,X20)
| ( r1(X20,sK14(X20))
& ~ p2(sK14(X20)) ) )
& ! [X22] :
( ~ r1(sK4,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ~ p1(X24) ) )
| ( r1(X22,sK15(X22))
& p1(sK15(X22)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15]),skolemize(X0,sK4),skolemize(X3,sK5(X2)),skolemize(X4,sK6(X2)),skolemize(X7,sK7(X6)),skolemize(X9,sK8(X8)),skolemize(X14,sK9(X11)),skolemize(X15,sK10),skolemize(X16,sK11),skolemize(X18,sK12),skolemize(X19,sK13),skolemize(X21,sK14(X20)),skolemize(X25,sK15(X22))],[f15]) ).
fof(f17,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X2,X0,X1,X6] :
( ~ r1(sK3(X0),X6)
| ~ r1(X1,X2)
| p2(sK1(X2))
| ~ r1(X0,X1)
| ~ p2(X6)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK1(X2))
| r1(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
! [X2,X0,X1,X6] :
( ~ r1(sK3(X0),X6)
| ~ r1(X1,X2)
| r1(X2,sK1(X2))
| ~ r1(X0,X1)
| ~ p2(X6)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK1(X2))
| r1(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f26,plain,
! [X20] :
( ~ p2(sK14(X20))
| ~ r1(sK13,X20) ),
inference(cnf_transformation,[],[f16]) ).
fof(f27,plain,
! [X20] :
( r1(X20,sK14(X20))
| ~ r1(sK13,X20) ),
inference(cnf_transformation,[],[f16]) ).
fof(f28,plain,
r1(sK4,sK13),
inference(cnf_transformation,[],[f16]) ).
fof(f36,plain,
! [X1] :
( ~ r1(sK4,X1)
| sP0(X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X10,X1,X8,X6,X5] :
( ~ r1(sK8(X8),X10)
| ~ r1(X1,X5)
| ~ r1(X5,X6)
| p2(X6)
| ~ p2(X5)
| ~ r1(X5,X8)
| ~ r1(sK4,X1)
| ~ p2(X10) ),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
! [X1,X8,X6,X5] :
( ~ r1(sK4,X1)
| ~ r1(X1,X5)
| ~ r1(X5,X6)
| p2(X6)
| ~ p2(X5)
| ~ r1(X5,X8)
| r1(X8,sK8(X8)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f41,plain,
! [X2,X1] :
( ~ r1(sK4,X1)
| ~ r1(X1,X2)
| p2(sK5(X2)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f43,plain,
! [X2,X1] :
( ~ r1(sK4,X1)
| ~ r1(X1,X2)
| r1(X2,sK5(X2)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f45,plain,
sP0(sK13),
inference(resolution,[],[f28,f36]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ r1(sK13,X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,X2)
| r1(X2,sK8(X2)) ),
inference(resolution,[],[f38,f28]) ).
fof(f123,plain,
! [X0] :
( ~ r1(sK13,X0)
| p2(sK5(X0)) ),
inference(resolution,[],[f41,f28]) ).
fof(f462,plain,
! [X0] :
( r1(X0,sK5(X0))
| ~ r1(sK13,X0) ),
inference(resolution,[],[f43,f28]) ).
fof(f477,plain,
! [X0,X1] :
( ~ r1(sK13,sK13)
| ~ r1(sK5(sK13),X0)
| p2(X0)
| ~ p2(sK5(sK13))
| ~ r1(sK5(sK13),X1)
| r1(X1,sK8(X1)) ),
inference(resolution,[],[f462,f113]) ).
fof(f483,plain,
! [X2,X0,X1] :
( ~ r1(sK13,sK3(X0))
| ~ r1(X1,X2)
| p2(sK1(X2))
| ~ r1(X0,X1)
| ~ p2(sK5(sK3(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f462,f18]) ).
fof(f484,plain,
! [X2,X0,X1] :
( ~ r1(sK13,sK3(X0))
| ~ r1(X1,X2)
| r1(X2,sK1(X2))
| ~ r1(X0,X1)
| ~ p2(sK5(sK3(X0)))
| ~ sP0(X0) ),
inference(resolution,[],[f462,f22]) ).
fof(f487,plain,
! [X2,X0,X1] :
( ~ r1(sK13,sK3(X0))
| ~ r1(X1,X2)
| r1(X2,sK1(X2))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(forward_subsumption_resolution,[],[f484,f123]) ).
fof(f488,plain,
! [X2,X0,X1] :
( ~ r1(sK13,sK3(X0))
| ~ r1(X1,X2)
| p2(sK1(X2))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(forward_subsumption_resolution,[],[f483,f123]) ).
fof(f490,plain,
! [X0,X1] :
( ~ r1(sK13,sK13)
| ~ r1(sK5(sK13),X0)
| p2(X0)
| ~ r1(sK5(sK13),X1)
| r1(X1,sK8(X1)) ),
inference(forward_subsumption_resolution,[],[f477,f123]) ).
fof(f493,plain,
! [X0,X1] :
( ~ r1(sK5(sK13),X0)
| p2(X0)
| ~ r1(sK5(sK13),X1)
| r1(X1,sK8(X1)) ),
inference(forward_subsumption_resolution,[],[f490,f17]) ).
fof(f495,definition,
( spl16_71
<=> ! [X1] :
( ~ r1(sK5(sK13),X1)
| r1(X1,sK8(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl16_71])],[avatar_definition]) ).
fof(f496,plain,
( ! [X1] :
( ~ r1(sK5(sK13),X1)
| r1(X1,sK8(X1)) )
| ~ spl16_71 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f498,definition,
( spl16_72
<=> ! [X0] :
( ~ r1(sK5(sK13),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl16_72])],[avatar_definition]) ).
fof(f499,plain,
( ! [X0] :
( ~ r1(sK5(sK13),X0)
| p2(X0) )
| ~ spl16_72 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f500,plain,
( spl16_71
| spl16_72 ),
inference(avatar_split_clause,[],[f493,f498,f495]) ).
fof(f501,plain,
( r1(sK5(sK13),sK8(sK5(sK13)))
| ~ spl16_71 ),
inference(resolution,[],[f496,f17]) ).
fof(f506,definition,
( spl16_73
<=> r1(sK13,sK5(sK13)) ),
introduced(definition,[new_symbols(definition,[spl16_73])],[avatar_definition]) ).
fof(f507,plain,
( r1(sK13,sK5(sK13))
| ~ spl16_73 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f508,plain,
( ~ r1(sK13,sK5(sK13))
| spl16_73 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f534,plain,
( ~ r1(sK13,sK13)
| spl16_73 ),
inference(resolution,[],[f508,f462]) ).
fof(f535,plain,
( $false
| spl16_73 ),
inference(forward_subsumption_resolution,[],[f534,f17]) ).
fof(f536,plain,
spl16_73,
inference(avatar_contradiction_clause,[],[f535]) ).
fof(f540,plain,
( p2(sK14(sK5(sK13)))
| ~ r1(sK13,sK5(sK13))
| ~ spl16_72 ),
inference(resolution,[],[f499,f27]) ).
fof(f541,plain,
( ~ r1(sK13,sK5(sK13))
| ~ spl16_72 ),
inference(forward_subsumption_resolution,[],[f540,f26]) ).
fof(f542,plain,
( $false
| ~ spl16_72
| ~ spl16_73 ),
inference(forward_subsumption_resolution,[],[f541,f507]) ).
fof(f543,plain,
( ~ spl16_72
| ~ spl16_73 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f602,plain,
( ! [X0] :
( ~ r1(X0,sK5(sK13))
| p2(sK1(sK8(sK5(sK13))))
| r1(X0,sK3(X0))
| ~ sP0(X0) )
| ~ spl16_71 ),
inference(resolution,[],[f501,f19]) ).
fof(f603,plain,
( ! [X0] :
( ~ r1(X0,sK5(sK13))
| r1(sK8(sK5(sK13)),sK1(sK8(sK5(sK13))))
| r1(X0,sK3(X0))
| ~ sP0(X0) )
| ~ spl16_71 ),
inference(resolution,[],[f501,f23]) ).
fof(f605,definition,
( spl16_88
<=> r1(sK8(sK5(sK13)),sK1(sK8(sK5(sK13)))) ),
introduced(definition,[new_symbols(definition,[spl16_88])],[avatar_definition]) ).
fof(f607,plain,
( r1(sK8(sK5(sK13)),sK1(sK8(sK5(sK13))))
| ~ spl16_88 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f609,definition,
( spl16_89
<=> ! [X0] :
( ~ r1(X0,sK5(sK13))
| ~ sP0(X0)
| r1(X0,sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl16_89])],[avatar_definition]) ).
fof(f610,plain,
( ! [X0] :
( ~ r1(X0,sK5(sK13))
| ~ sP0(X0)
| r1(X0,sK3(X0)) )
| ~ spl16_89 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f611,plain,
( spl16_88
| spl16_89
| ~ spl16_71 ),
inference(avatar_split_clause,[],[f603,f495,f609,f605]) ).
fof(f613,definition,
( spl16_90
<=> p2(sK1(sK8(sK5(sK13)))) ),
introduced(definition,[new_symbols(definition,[spl16_90])],[avatar_definition]) ).
fof(f614,plain,
( ~ p2(sK1(sK8(sK5(sK13))))
| spl16_90 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f616,plain,
( spl16_90
| spl16_89
| ~ spl16_71 ),
inference(avatar_split_clause,[],[f602,f495,f609,f613]) ).
fof(f649,definition,
( spl16_97
<=> ! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK4,X0)
| ~ r1(X1,sK5(sK13))
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl16_97])],[avatar_definition]) ).
fof(f650,plain,
( ! [X2,X0,X1] :
( ~ r1(X1,sK5(sK13))
| ~ r1(sK4,X0)
| ~ r1(X0,X1)
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2) )
| ~ spl16_97 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f665,plain,
( ~ sP0(sK13)
| r1(sK13,sK3(sK13))
| ~ spl16_73
| ~ spl16_89 ),
inference(resolution,[],[f610,f507]) ).
fof(f666,plain,
( r1(sK13,sK3(sK13))
| ~ spl16_73
| ~ spl16_89 ),
inference(forward_subsumption_resolution,[],[f665,f45]) ).
fof(f667,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK1(X1))
| ~ r1(sK13,X0)
| ~ sP0(sK13) )
| ~ spl16_73
| ~ spl16_89 ),
inference(resolution,[],[f666,f487]) ).
fof(f674,plain,
( ! [X0,X1] :
( ~ r1(sK13,X0)
| r1(X1,sK1(X1))
| ~ r1(X0,X1) )
| ~ spl16_73
| ~ spl16_89 ),
inference(forward_subsumption_resolution,[],[f667,f45]) ).
fof(f675,plain,
( ! [X0] :
( ~ r1(sK5(sK13),X0)
| r1(X0,sK1(X0)) )
| ~ spl16_73
| ~ spl16_89 ),
inference(resolution,[],[f674,f507]) ).
fof(f683,plain,
( r1(sK8(sK5(sK13)),sK1(sK8(sK5(sK13))))
| ~ spl16_71
| ~ spl16_73
| ~ spl16_89 ),
inference(resolution,[],[f675,f501]) ).
fof(f691,plain,
( spl16_88
| ~ spl16_71
| ~ spl16_73
| ~ spl16_89 ),
inference(avatar_split_clause,[],[f683,f609,f506,f495,f605]) ).
fof(f692,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK1(X1))
| ~ r1(sK13,X0)
| ~ sP0(sK13) )
| ~ spl16_73
| ~ spl16_89 ),
inference(resolution,[],[f488,f666]) ).
fof(f695,plain,
( ! [X0,X1] :
( ~ r1(sK13,X0)
| p2(sK1(X1))
| ~ r1(X0,X1) )
| ~ spl16_73
| ~ spl16_89 ),
inference(forward_subsumption_resolution,[],[f692,f45]) ).
fof(f696,plain,
( ! [X0] :
( ~ r1(sK5(sK13),X0)
| p2(sK1(X0)) )
| ~ spl16_73
| ~ spl16_89 ),
inference(resolution,[],[f695,f507]) ).
fof(f704,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| p2(X2)
| ~ p2(X1)
| ~ r1(X1,sK5(sK13))
| ~ r1(sK4,X0)
| ~ p2(sK1(sK8(sK5(sK13)))) )
| ~ spl16_88 ),
inference(resolution,[],[f607,f37]) ).
fof(f708,plain,
( ~ spl16_90
| spl16_97
| ~ spl16_88 ),
inference(avatar_split_clause,[],[f704,f605,f649,f613]) ).
fof(f781,plain,
( ! [X0,X1] :
( ~ r1(sK4,X0)
| ~ r1(X0,sK5(sK13))
| ~ p2(sK5(sK13))
| p2(X1)
| ~ r1(sK5(sK13),X1) )
| ~ spl16_97 ),
inference(resolution,[],[f650,f17]) ).
fof(f784,definition,
( spl16_106
<=> p2(sK5(sK13)) ),
introduced(definition,[new_symbols(definition,[spl16_106])],[avatar_definition]) ).
fof(f786,plain,
( ~ p2(sK5(sK13))
| spl16_106 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f788,definition,
( spl16_107
<=> ! [X0] :
( ~ r1(sK4,X0)
| ~ r1(X0,sK5(sK13)) ) ),
introduced(definition,[new_symbols(definition,[spl16_107])],[avatar_definition]) ).
fof(f789,plain,
( ! [X0] :
( ~ r1(X0,sK5(sK13))
| ~ r1(sK4,X0) )
| ~ spl16_107 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f790,plain,
( spl16_72
| ~ spl16_106
| spl16_107
| ~ spl16_97 ),
inference(avatar_split_clause,[],[f781,f649,f788,f784,f498]) ).
fof(f1526,plain,
p2(sK5(sK13)),
inference(resolution,[],[f123,f17]) ).
fof(f1536,plain,
( $false
| spl16_106 ),
inference(forward_subsumption_resolution,[],[f1526,f786]) ).
fof(f1537,plain,
spl16_106,
inference(avatar_contradiction_clause,[],[f1536]) ).
fof(f2034,plain,
( ~ r1(sK4,sK13)
| ~ r1(sK13,sK13)
| ~ spl16_107 ),
inference(resolution,[],[f789,f462]) ).
fof(f2039,plain,
( ~ r1(sK13,sK13)
| ~ spl16_107 ),
inference(forward_subsumption_resolution,[],[f2034,f28]) ).
fof(f2040,plain,
( $false
| ~ spl16_107 ),
inference(forward_subsumption_resolution,[],[f2039,f17]) ).
fof(f2041,plain,
~ spl16_107,
inference(avatar_contradiction_clause,[],[f2040]) ).
fof(f2261,plain,
( p2(sK1(sK8(sK5(sK13))))
| ~ spl16_71
| ~ spl16_73
| ~ spl16_89 ),
inference(resolution,[],[f696,f501]) ).
fof(f2281,plain,
( $false
| ~ spl16_71
| ~ spl16_73
| ~ spl16_89
| spl16_90 ),
inference(forward_subsumption_resolution,[],[f2261,f614]) ).
fof(f2282,plain,
( ~ spl16_71
| ~ spl16_73
| ~ spl16_89
| spl16_90 ),
inference(avatar_contradiction_clause,[],[f2281]) ).
cnf(s41,plain,
( spl16_71
| spl16_72 ),
inference(sat_conversion,[],[f500]) ).
cnf(s45,plain,
spl16_73,
inference(sat_conversion,[],[f536]) ).
cnf(s46,plain,
( ~ spl16_72
| ~ spl16_73 ),
inference(sat_conversion,[],[f543]) ).
cnf(s54,plain,
( ~ spl16_71
| spl16_88
| spl16_89 ),
inference(sat_conversion,[],[f611]) ).
cnf(s55,plain,
( ~ spl16_71
| spl16_89
| spl16_90 ),
inference(sat_conversion,[],[f616]) ).
cnf(s64,plain,
( ~ spl16_71
| ~ spl16_73
| spl16_88
| ~ spl16_89 ),
inference(sat_conversion,[],[f691]) ).
cnf(s65,plain,
( ~ spl16_88
| ~ spl16_90
| spl16_97 ),
inference(sat_conversion,[],[f708]) ).
cnf(s70,plain,
( spl16_72
| ~ spl16_97
| ~ spl16_106
| spl16_107 ),
inference(sat_conversion,[],[f790]) ).
cnf(s150,plain,
spl16_106,
inference(sat_conversion,[],[f1537]) ).
cnf(s193,plain,
~ spl16_107,
inference(sat_conversion,[],[f2041]) ).
cnf(s219,plain,
( ~ spl16_71
| ~ spl16_73
| ~ spl16_89
| spl16_90 ),
inference(sat_conversion,[],[f2282]) ).
cnf(s221,plain,
( spl16_72
| ~ spl16_97 ),
inference(rat,[],[s70,s193,s150]) ).
cnf(s222,plain,
~ spl16_72,
inference(rat,[],[s46,s45]) ).
cnf(s223,plain,
~ spl16_97,
inference(rat,[],[s221,s222]) ).
cnf(s226,plain,
spl16_71,
inference(rat,[],[s41,s222]) ).
cnf(s231,plain,
spl16_89,
inference(rat,[],[s65,s54,s55,s223,s226]) ).
cnf(s235,plain,
spl16_90,
inference(rat,[],[s219,s226,s45,s231]) ).
cnf(s237,plain,
spl16_88,
inference(rat,[],[s64,s226,s45,s231]) ).
cnf(s238,plain,
$false,
inference(rat,[],[s65,s223,s235,s237]) ).
fof(f2284,plain,
$false,
inference(avatar_sat_refutation,[],[s238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL670+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
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 16:27:50 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 4.66/1.24 % (2568737)Detected formulas, will run a generic FOF schedule.
% 4.66/1.24 % (2568747)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1941607475:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.66/1.24 % (2568746)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4200127804:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.66/1.24 % (2568742)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=417446126:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.66/1.24 % (2568748)dis-21_1_sil=8000:lcm=predicate:random_seed=1141547108: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)
% 4.66/1.24 % (2568745)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=18822507:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.66/1.24 % (2568744)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=3146052243:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.66/1.24 % (2568743)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=3511534165:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.66/1.24 % (2568748)Instruction limit reached!
% 4.66/1.24 % (2568748)------------------------------
% 4.66/1.24 % (2568748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568748)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568748)Termination reason: Instruction limit
% 4.66/1.24 % (2568748)Termination phase: Saturation
% 4.66/1.24 % (2568748)Time elapsed: 0.032 s
% 4.66/1.24 % (2568748)Peak memory usage: 88 MB
% 4.66/1.24 % (2568748)Instructions burned: 129 (million)
% 4.66/1.24 % (2568746)Instruction limit reached!
% 4.66/1.24 % (2568746)------------------------------
% 4.66/1.24 % (2568746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568746)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568746)Termination reason: Instruction limit
% 4.66/1.24 % (2568746)Termination phase: Saturation
% 4.66/1.24 % (2568746)Time elapsed: 0.034 s
% 4.66/1.24 % (2568746)Peak memory usage: 87 MB
% 4.66/1.24 % (2568746)Instructions burned: 120 (million)
% 4.66/1.24 % (2568745)Instruction limit reached!
% 4.66/1.24 % (2568745)------------------------------
% 4.66/1.24 % (2568745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568745)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568745)Termination reason: Instruction limit
% 4.66/1.24 % (2568745)Termination phase: Saturation
% 4.66/1.24 % (2568745)Time elapsed: 0.035 s
% 4.66/1.24 % (2568745)Peak memory usage: 89 MB
% 4.66/1.24 % (2568745)Instructions burned: 112 (million)
% 4.66/1.24 % (2568747)Instruction limit reached!
% 4.66/1.24 % (2568747)------------------------------
% 4.66/1.24 % (2568747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568747)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568747)Termination reason: Instruction limit
% 4.66/1.24 % (2568747)Termination phase: Saturation
% 4.66/1.24 % (2568747)Time elapsed: 0.038 s
% 4.66/1.24 % (2568747)Peak memory usage: 88 MB
% 4.66/1.24 % (2568747)Instructions burned: 140 (million)
% 4.66/1.24 % (2568756)lrs+10_1_sil=8000:sp=occurrence:random_seed=101524952:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.66/1.24 % (2568757)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3594692948:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.66/1.24 % (2568759)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=2972729428:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.66/1.24 % (2568758)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1368618767:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.66/1.24 % (2568759)Refutation not found, incomplete strategy
% 4.66/1.24 % (2568759)------------------------------
% 4.66/1.24 % (2568759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568759)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568759)Termination reason: Refutation not found, incomplete strategy
% 4.66/1.24 % (2568759)Time elapsed: 0.026 s
% 4.66/1.24 % (2568759)Peak memory usage: 88 MB
% 4.66/1.24 % (2568759)Instructions burned: 99 (million)
% 4.66/1.24 % (2568757)Refutation not found, incomplete strategy
% 4.66/1.24 % (2568757)------------------------------
% 4.66/1.24 % (2568757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568757)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568757)Termination reason: Refutation not found, incomplete strategy
% 4.66/1.24 % (2568757)Time elapsed: 0.031 s
% 4.66/1.24 % (2568757)Peak memory usage: 88 MB
% 4.66/1.24 % (2568757)Instructions burned: 118 (million)
% 4.66/1.24 % (2568758)Instruction limit reached!
% 4.66/1.24 % (2568758)------------------------------
% 4.66/1.24 % (2568758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568758)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568758)Termination reason: Instruction limit
% 4.66/1.24 % (2568758)Termination phase: Saturation
% 4.66/1.24 % (2568758)Time elapsed: 0.085 s
% 4.66/1.24 % (2568758)Peak memory usage: 89 MB
% 4.66/1.24 % (2568758)Instructions burned: 329 (million)
% 4.66/1.24 % (2568756)Instruction limit reached!
% 4.66/1.24 % (2568756)------------------------------
% 4.66/1.24 % (2568756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568756)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568756)Termination reason: Instruction limit
% 4.66/1.24 % (2568756)Termination phase: Saturation
% 4.66/1.24 % (2568756)Time elapsed: 0.089 s
% 4.66/1.24 % (2568756)Peak memory usage: 92 MB
% 4.66/1.24 % (2568756)Instructions burned: 289 (million)
% 4.66/1.24 % (2568759)------------------------------
% 4.66/1.24 % (2568759)------------------------------
% 4.66/1.24 % (2568757)------------------------------
% 4.66/1.24 % (2568757)------------------------------
% 4.66/1.24 % (2568765)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3260301139:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.66/1.24 % (2568764)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=137607383:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.66/1.24 % (2568742)First to succeed.
% 4.66/1.24 % (2568742)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2568737"
% 4.66/1.24 % (2568764)Instruction limit reached!
% 4.66/1.24 % (2568764)------------------------------
% 4.66/1.24 % (2568764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568764)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568764)Termination reason: Instruction limit
% 4.66/1.24 % (2568764)Termination phase: Saturation
% 4.66/1.24 % (2568764)Time elapsed: 0.082 s
% 4.66/1.24 % (2568764)Peak memory usage: 88 MB
% 4.66/1.24 % (2568764)Instructions burned: 297 (million)
% 4.66/1.24 % (2568767)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=86431642:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.66/1.24 % (2568766)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3456564417:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.66/1.24 % (2568767)Instruction limit reached!
% 4.66/1.24 % (2568767)------------------------------
% 4.66/1.24 % (2568767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568767)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568767)Termination reason: Instruction limit
% 4.66/1.24 % (2568767)Termination phase: Saturation
% 4.66/1.24 % (2568767)Time elapsed: 0.039 s
% 4.66/1.24 % (2568767)Peak memory usage: 88 MB
% 4.66/1.24 % (2568767)Instructions burned: 128 (million)
% 4.66/1.24 % (2568766)Instruction limit reached!
% 4.66/1.24 % (2568766)------------------------------
% 4.66/1.24 % (2568766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.24 % (2568766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.24 % (2568766)CaDiCaL version: 2.1.3
% 4.66/1.24 % (2568766)Termination reason: Instruction limit
% 4.66/1.24 % (2568766)Termination phase: Saturation
% 4.66/1.24 % (2568766)Time elapsed: 0.039 s
% 4.66/1.24 % (2568766)Peak memory usage: 90 MB
% 4.66/1.24 % (2568766)Instructions burned: 114 (million)
% 4.66/1.24 % (2568770)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2453517016:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.66/1.24 % (2568742)Refutation found. Thanks to Tanya!
% 4.66/1.24 % SZS status Theorem for theBenchmark
% 4.66/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 5.24/1.35 % (2568742)------------------------------
% 5.24/1.35 % (2568742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.35 % (2568742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.35 % (2568742)CaDiCaL version: 2.1.3
% 5.24/1.35 % (2568742)Termination reason: Refutation
% 5.24/1.35 % (2568742)Time elapsed: 0.416 s
% 5.24/1.35 % (2568742)Peak memory usage: 128 MB
% 5.24/1.35 % (2568742)Instructions burned: 1087 (million)
% 5.24/1.35 % (2568742)------------------------------
% 5.24/1.35 % (2568742)------------------------------
% 5.24/1.35 % (2568737)Success in time 0.718 s
% 5.24/1.35 % Vampire exiting
%------------------------------------------------------------------------------