%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL650+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 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 11:54:08 AM UTC 2026
% Result : Theorem 0.76s 1.00s
% Output : Refutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 29
% Syntax : Number of formulae : 171 ( 27 unt; 28 def)
% Number of atoms : 826 ( 0 equ)
% Maximal formula atoms : 43 ( 4 avg)
% Number of connectives : 1250 ( 595 ~; 480 |; 148 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 16 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-1 aty)
% Number of variables : 334 ( 0 sgn 290 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ~ p8(X0)
& ~ p6(X0)
& ~ p4(X0)
& ~ p2(X0) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p3(X0)
& ~ p1(X0) )
| ( p1(X0)
& p3(X0) ) ) ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
| ~ ! [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)
| ~ ( ( ~ p1(X0)
& ~ p2(X0) )
| ( p2(X0)
& p1(X0) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( p4(X0)
& p3(X0)
& p2(X0)
& p1(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ~ p8(X0)
& ~ p6(X0)
& ~ p4(X0)
& ~ p2(X0) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p3(X0)
& ~ p1(X0) )
| ( p1(X0)
& p3(X0) ) ) ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0) )
| ~ ! [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)
| ~ ( ( ~ p1(X0)
& ~ p2(X0) )
| ( p2(X0)
& p1(X0) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( p4(X0)
& p3(X0)
& p2(X0)
& p1(X0) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( ~ p8(X4)
& ~ p6(X4)
& ~ p4(X4)
& ~ p2(X4) ) ) ) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p5(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ~ ( ( ~ p3(X9)
& ~ p1(X9) )
| ( p1(X9)
& p3(X9) ) ) ) ) )
| ! [X10] :
( ~ r1(X6,X10)
| p4(X10) )
| ~ ! [X11] :
( ~ r1(X6,X11)
| ~ ( ~ ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ~ ( ( ~ p2(X13)
& ~ p3(X13) )
| ( p3(X13)
& p2(X13) ) ) ) )
| ! [X14] :
( ~ r1(X11,X14)
| p3(X14) )
| ~ ! [X15] :
( ~ r1(X11,X15)
| ~ ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ( ( ~ p1(X16)
& ~ p2(X16) )
| ( p2(X16)
& p1(X16) ) ) ) ) ) ) ) )
| ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ( p4(X20)
& p3(X20)
& p2(X20)
& p1(X20) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( ~ p8(X4)
& ~ p6(X4)
& ~ p4(X4)
& ~ p2(X4) ) ) ) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p5(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ~ ( ( ~ p3(X9)
& ~ p1(X9) )
| ( p1(X9)
& p3(X9) ) ) ) ) )
| ! [X10] :
( ~ r1(X6,X10)
| p4(X10) )
| ~ ! [X11] :
( ~ r1(X6,X11)
| ~ ( ~ ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ~ ( ( ~ p2(X13)
& ~ p3(X13) )
| ( p3(X13)
& p2(X13) ) ) ) )
| ! [X14] :
( ~ r1(X11,X14)
| p3(X14) )
| ~ ! [X15] :
( ~ r1(X11,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ~ ( ( ~ p1(X16)
& ~ p2(X16) )
| ( p2(X16)
& p1(X16) ) ) ) ) ) ) ) )
| ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ( p4(X20)
& p3(X20)
& p2(X20)
& p1(X20) ) ) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ( ~ p8(X4)
& ~ p6(X4)
& ~ p4(X4)
& ~ p2(X4) ) ) ) ) )
| ! [X5] : ~ r1(X0,X5)
| ~ ! [X6] :
( ~ r1(X0,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ~ ( ( ~ p3(X9)
& ~ p1(X9) )
| ( p1(X9)
& p3(X9) ) ) ) ) )
| ! [X10] :
( ~ r1(X6,X10)
| p4(X10) )
| ~ ! [X11] :
( ~ r1(X6,X11)
| ~ ( ~ ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ~ ( ( ~ p2(X13)
& ~ p3(X13) )
| ( p3(X13)
& p2(X13) ) ) ) )
| ! [X14] :
( ~ r1(X11,X14)
| p3(X14) )
| ~ ! [X15] :
( ~ r1(X11,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ~ ( ( ~ p1(X16)
& ~ p2(X16) )
| ( p2(X16)
& p1(X16) ) ) ) ) ) ) ) )
| ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ( p4(X20)
& p3(X20)
& p2(X20)
& p1(X20) ) ) ) ) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] : ~ r1(X3,X4) ) ) )
| ! [X5] : ~ r1(X0,X5)
| ~ ! [X6] :
( ~ r1(X0,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ~ ( ( ~ p3(X9)
& ~ p1(X9) )
| ( p1(X9)
& p3(X9) ) ) ) ) )
| ! [X10] :
( ~ r1(X6,X10)
| p4(X10) )
| ~ ! [X11] :
( ~ r1(X6,X11)
| ~ ( ~ ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ~ ( ( ~ p2(X13)
& ~ p3(X13) )
| ( p3(X13)
& p2(X13) ) ) ) )
| ! [X14] :
( ~ r1(X11,X14)
| p3(X14) )
| ~ ! [X15] :
( ~ r1(X11,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ~ ( ( ~ p1(X16)
& ~ p2(X16) )
| ( p2(X16)
& p1(X16) ) ) ) ) ) ) ) )
| ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ( p4(X20)
& p3(X20)
& p2(X20)
& p1(X20) ) ) ) ) ) ),
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(X0,X5)
| ~ ! [X6] :
( ~ r1(X0,X6)
| ~ ( ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ~ ( ( ~ p3(X9)
& ~ p1(X9) )
| ( p1(X9)
& p3(X9) ) ) ) ) )
| ! [X10] : ~ r1(X6,X10)
| ~ ! [X11] :
( ~ r1(X6,X11)
| ~ ( ~ ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ~ ( ( ~ p2(X13)
& ~ p3(X13) )
| ( p3(X13)
& p2(X13) ) ) ) )
| ! [X14] :
( ~ r1(X11,X14)
| p3(X14) )
| ~ ! [X15] :
( ~ r1(X11,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ~ ( ( ~ p1(X16)
& ~ p2(X16) )
| ( p2(X16)
& p1(X16) ) ) ) ) ) ) ) )
| ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] : ~ r1(X19,X20) ) ) ) ),
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(X0,X5)
& ! [X6] :
( ~ r1(X0,X6)
| ( ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ( ( p3(X9)
| p1(X9) )
& ( ~ p1(X9)
| ~ p3(X9) ) ) ) ) )
& ? [X10] : r1(X6,X10)
& ! [X11] :
( ~ r1(X6,X11)
| ( ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ( ( p2(X13)
| p3(X13) )
& ( ~ p3(X13)
| ~ p2(X13) ) ) ) )
& ? [X14] :
( r1(X11,X14)
& ~ p3(X14) )
& ! [X15] :
( ~ r1(X11,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ( ( p1(X16)
| p2(X16) )
& ( ~ p2(X16)
| ~ p1(X16) ) ) ) ) ) ) ) )
& ? [X17] :
( r1(X0,X17)
& ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ? [X20] : r1(X19,X20) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,definition,
! [X6] :
( ! [X11] :
( ~ r1(X6,X11)
| ( ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ( ( p2(X13)
| p3(X13) )
& ( ~ p3(X13)
| ~ p2(X13) ) ) ) )
& ? [X14] :
( r1(X11,X14)
& ~ p3(X14) )
& ! [X15] :
( ~ r1(X11,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ( ( p1(X16)
| p2(X16) )
& ( ~ p2(X16)
| ~ p1(X16) ) ) ) ) ) )
| ~ sP0(X6) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4) ) ) )
& ? [X5] : r1(X0,X5)
& ! [X6] :
( ~ r1(X0,X6)
| ( ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ( ( p3(X9)
| p1(X9) )
& ( ~ p1(X9)
| ~ p3(X9) ) ) ) ) )
& ? [X10] : r1(X6,X10)
& sP0(X6) ) )
& ? [X17] :
( r1(X0,X17)
& ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ? [X20] : r1(X19,X20) ) ) ) ),
inference(definition_folding,[],[f8,f9]) ).
fof(f11,plain,
! [X6] :
( ! [X11] :
( ~ r1(X6,X11)
| ( ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ( ( p2(X13)
| p3(X13) )
& ( ~ p3(X13)
| ~ p2(X13) ) ) ) )
& ? [X14] :
( r1(X11,X14)
& ~ p3(X14) )
& ! [X15] :
( ~ r1(X11,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ( ( p1(X16)
| p2(X16) )
& ( ~ p2(X16)
| ~ p1(X16) ) ) ) ) ) )
| ~ sP0(X6) ),
inference(nnf_transformation,[],[f9]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ( ( p2(X3)
| p3(X3) )
& ( ~ p3(X3)
| ~ p2(X3) ) ) ) )
& ? [X4] :
( r1(X1,X4)
& ~ p3(X4) )
& ! [X5] :
( ~ r1(X1,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( ( p1(X6)
| p2(X6) )
& ( ~ p2(X6)
| ~ p1(X6) ) ) ) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ( ( p2(X3)
| p3(X3) )
& ( ~ p3(X3)
| ~ p2(X3) ) ) ) )
& r1(X1,sK1(X1))
& ~ p3(sK1(X1))
& ! [X5] :
( ~ r1(X1,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( ( p1(X6)
| p2(X6) )
& ( ~ p2(X6)
| ~ p1(X6) ) ) ) ) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X4,sK1(X1))],[f12]) ).
fof(f14,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4) ) ) )
& ? [X5] : r1(X0,X5)
& ! [X6] :
( ~ r1(X0,X6)
| ( ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ( ( p3(X9)
| p1(X9) )
& ( ~ p1(X9)
| ~ p3(X9) ) ) ) ) )
& ? [X10] : r1(X6,X10)
& sP0(X6) ) )
& ? [X11] :
( r1(X0,X11)
& ? [X12] :
( r1(X11,X12)
& ? [X13] :
( r1(X12,X13)
& ? [X14] : r1(X13,X14) ) ) ) ),
inference(rectify,[],[f10]) ).
fof(f15,plain,
( r1(sK2,sK3)
& r1(sK3,sK4)
& r1(sK4,sK5)
& r1(sK5,sK6)
& r1(sK2,sK7)
& ! [X6] :
( ~ r1(sK2,X6)
| ( ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ( ( p3(X9)
| p1(X9) )
& ( ~ p1(X9)
| ~ p3(X9) ) ) ) ) )
& r1(X6,sK8(X6))
& sP0(X6) ) )
& r1(sK2,sK9)
& r1(sK9,sK10)
& r1(sK10,sK11)
& r1(sK11,sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7),skolemize(X10,sK8(X6)),skolemize(X11,sK9),skolemize(X12,sK10),skolemize(X13,sK11),skolemize(X14,sK12)],[f14]) ).
fof(f16,plain,
! [X0,X1,X6,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X5)
| ~ r1(X5,X6)
| ~ p2(X6)
| ~ p1(X6)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f17,plain,
! [X0,X1,X6,X5] :
( ~ r1(X0,X1)
| ~ r1(X1,X5)
| ~ r1(X5,X6)
| p1(X6)
| p2(X6)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ p3(X3)
| ~ p2(X3)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p2(X3)
| p3(X3)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f22,plain,
r1(sK11,sK12),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
r1(sK10,sK11),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
r1(sK9,sK10),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
r1(sK2,sK9),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X6] :
( ~ r1(sK2,X6)
| sP0(X6) ),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
! [X8,X6,X9,X7] :
( ~ r1(sK2,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ p1(X9)
| ~ p3(X9) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X8,X6,X9,X7] :
( ~ r1(sK2,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| p3(X9)
| p1(X9) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X2,X3] :
( ~ r1(X2,X3)
| p2(X3)
| p3(X3)
| sP13(X2) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,definition,
! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| p2(X3)
| p3(X3) )
<=> ~ sP13(X2) ),
introduced(definition,[new_symbols(definition,[sP13])],[general_splitting_component_introduction]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP0(X0)
| ~ sP13(X2) ),
inference(general_splitting,[],[f21,f35_D]) ).
fof(f37,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| ~ sP13(X2)
| sP14(X1) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,definition,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ sP13(X2) )
<=> ~ sP14(X1) ),
introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).
fof(f38,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP0(X0)
| ~ sP14(X1) ),
inference(general_splitting,[],[f36,f37_D]) ).
fof(f39,plain,
! [X2,X3] :
( ~ r1(X2,X3)
| ~ p3(X3)
| ~ p2(X3)
| sP15(X2) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,definition,
! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ~ p3(X3)
| ~ p2(X3) )
<=> ~ sP15(X2) ),
introduced(definition,[new_symbols(definition,[sP15])],[general_splitting_component_introduction]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP0(X0)
| ~ sP15(X2) ),
inference(general_splitting,[],[f20,f39_D]) ).
fof(f41,plain,
! [X2,X1] :
( ~ r1(X1,X2)
| ~ sP15(X2)
| sP16(X1) ),
inference(cnf_transformation,[],[f41_D]) ).
fof(f41_D,definition,
! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ sP15(X2) )
<=> ~ sP16(X1) ),
introduced(definition,[new_symbols(definition,[sP16])],[general_splitting_component_introduction]) ).
fof(f42,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP0(X0)
| ~ sP16(X1) ),
inference(general_splitting,[],[f40,f41_D]) ).
fof(f43,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP0(X0)
| sP17(X1) ),
inference(cnf_transformation,[],[f43_D]) ).
fof(f43_D,definition,
! [X1] :
( ! [X0] :
( ~ r1(X0,X1)
| ~ sP0(X0) )
<=> ~ sP17(X1) ),
introduced(definition,[new_symbols(definition,[sP17])],[general_splitting_component_introduction]) ).
fof(f44,plain,
! [X1,X6,X5] :
( ~ r1(X1,X5)
| ~ r1(X5,X6)
| p1(X6)
| p2(X6)
| ~ sP17(X1) ),
inference(general_splitting,[],[f17,f43_D]) ).
fof(f45,plain,
! [X1,X5] :
( ~ r1(X1,X5)
| ~ sP17(X1)
| sP18(X5) ),
inference(cnf_transformation,[],[f45_D]) ).
fof(f45_D,definition,
! [X5] :
( ! [X1] :
( ~ r1(X1,X5)
| ~ sP17(X1) )
<=> ~ sP18(X5) ),
introduced(definition,[new_symbols(definition,[sP18])],[general_splitting_component_introduction]) ).
fof(f46,plain,
! [X6,X5] :
( ~ r1(X5,X6)
| p1(X6)
| p2(X6)
| ~ sP18(X5) ),
inference(general_splitting,[],[f44,f45_D]) ).
fof(f47,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP0(X0)
| sP19(X1) ),
inference(cnf_transformation,[],[f47_D]) ).
fof(f47_D,definition,
! [X1] :
( ! [X0] :
( ~ r1(X0,X1)
| ~ sP0(X0) )
<=> ~ sP19(X1) ),
introduced(definition,[new_symbols(definition,[sP19])],[general_splitting_component_introduction]) ).
fof(f48,plain,
! [X1,X6,X5] :
( ~ r1(X1,X5)
| ~ r1(X5,X6)
| ~ p2(X6)
| ~ p1(X6)
| ~ sP19(X1) ),
inference(general_splitting,[],[f16,f47_D]) ).
fof(f49,plain,
! [X1,X5] :
( ~ r1(X1,X5)
| ~ sP19(X1)
| sP20(X5) ),
inference(cnf_transformation,[],[f49_D]) ).
fof(f49_D,definition,
! [X5] :
( ! [X1] :
( ~ r1(X1,X5)
| ~ sP19(X1) )
<=> ~ sP20(X5) ),
introduced(definition,[new_symbols(definition,[sP20])],[general_splitting_component_introduction]) ).
fof(f50,plain,
! [X6,X5] :
( ~ r1(X5,X6)
| ~ p2(X6)
| ~ p1(X6)
| ~ sP20(X5) ),
inference(general_splitting,[],[f48,f49_D]) ).
fof(f51,plain,
! [X6,X7] :
( ~ r1(sK2,X6)
| ~ r1(X6,X7)
| sP21(X7) ),
inference(cnf_transformation,[],[f51_D]) ).
fof(f51_D,definition,
! [X7] :
( ! [X6] :
( ~ r1(sK2,X6)
| ~ r1(X6,X7) )
<=> ~ sP21(X7) ),
introduced(definition,[new_symbols(definition,[sP21])],[general_splitting_component_introduction]) ).
fof(f52,plain,
! [X8,X9,X7] :
( ~ r1(X7,X8)
| ~ r1(X8,X9)
| p3(X9)
| p1(X9)
| ~ sP21(X7) ),
inference(general_splitting,[],[f29,f51_D]) ).
fof(f53,plain,
! [X8,X9] :
( ~ r1(X8,X9)
| p3(X9)
| p1(X9)
| sP22(X8) ),
inference(cnf_transformation,[],[f53_D]) ).
fof(f53_D,definition,
! [X8] :
( ! [X9] :
( ~ r1(X8,X9)
| p3(X9)
| p1(X9) )
<=> ~ sP22(X8) ),
introduced(definition,[new_symbols(definition,[sP22])],[general_splitting_component_introduction]) ).
fof(f54,plain,
! [X8,X7] :
( ~ r1(X7,X8)
| ~ sP21(X7)
| ~ sP22(X8) ),
inference(general_splitting,[],[f52,f53_D]) ).
fof(f55,plain,
! [X6,X7] :
( ~ r1(sK2,X6)
| ~ r1(X6,X7)
| sP23(X7) ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,definition,
! [X7] :
( ! [X6] :
( ~ r1(sK2,X6)
| ~ r1(X6,X7) )
<=> ~ sP23(X7) ),
introduced(definition,[new_symbols(definition,[sP23])],[general_splitting_component_introduction]) ).
fof(f56,plain,
! [X8,X9,X7] :
( ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ p1(X9)
| ~ p3(X9)
| ~ sP23(X7) ),
inference(general_splitting,[],[f28,f55_D]) ).
fof(f57,plain,
! [X8,X9] :
( ~ r1(X8,X9)
| ~ p1(X9)
| ~ p3(X9)
| sP24(X8) ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_D,definition,
! [X8] :
( ! [X9] :
( ~ r1(X8,X9)
| ~ p1(X9)
| ~ p3(X9) )
<=> ~ sP24(X8) ),
introduced(definition,[new_symbols(definition,[sP24])],[general_splitting_component_introduction]) ).
fof(f58,plain,
! [X8,X7] :
( ~ r1(X7,X8)
| ~ sP23(X7)
| ~ sP24(X8) ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f59,plain,
( p2(sK12)
| p3(sK12)
| sP13(sK11) ),
inference(resolution,[],[f22,f35]) ).
fof(f62,plain,
( ~ p3(sK12)
| ~ p2(sK12)
| sP15(sK11) ),
inference(resolution,[],[f22,f39]) ).
fof(f67,plain,
( p1(sK12)
| p2(sK12)
| ~ sP18(sK11) ),
inference(resolution,[],[f22,f46]) ).
fof(f70,plain,
( ~ p2(sK12)
| ~ p1(sK12)
| ~ sP20(sK11) ),
inference(resolution,[],[f22,f50]) ).
fof(f72,definition,
( spl25_1
<=> sP20(sK11) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f74,plain,
( ~ sP20(sK11)
| spl25_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,definition,
( spl25_2
<=> p1(sK12) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f77,plain,
( p1(sK12)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( ~ p1(sK12)
| spl25_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl25_3
<=> p2(sK12) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f83,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f70,f80,f76,f72]) ).
fof(f103,definition,
( spl25_8
<=> sP18(sK11) ),
introduced(definition,[new_symbols(definition,[spl25_8])],[avatar_definition]) ).
fof(f106,plain,
( ~ spl25_8
| spl25_3
| spl25_2 ),
inference(avatar_split_clause,[],[f67,f76,f80,f103]) ).
fof(f136,definition,
( spl25_15
<=> sP15(sK11) ),
introduced(definition,[new_symbols(definition,[spl25_15])],[avatar_definition]) ).
fof(f140,definition,
( spl25_16
<=> p3(sK12) ),
introduced(definition,[new_symbols(definition,[spl25_16])],[avatar_definition]) ).
fof(f141,plain,
( p3(sK12)
| ~ spl25_16 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f142,plain,
( ~ p3(sK12)
| spl25_16 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl25_15
| ~ spl25_3
| ~ spl25_16 ),
inference(avatar_split_clause,[],[f62,f140,f80,f136]) ).
fof(f159,definition,
( spl25_20
<=> sP13(sK11) ),
introduced(definition,[new_symbols(definition,[spl25_20])],[avatar_definition]) ).
fof(f162,plain,
( spl25_20
| spl25_16
| spl25_3 ),
inference(avatar_split_clause,[],[f59,f80,f140,f159]) ).
fof(f164,plain,
( ~ sP13(sK11)
| sP14(sK10) ),
inference(resolution,[],[f23,f37]) ).
fof(f167,plain,
( ~ sP15(sK11)
| sP16(sK10) ),
inference(resolution,[],[f23,f41]) ).
fof(f170,plain,
( ~ sP17(sK10)
| sP18(sK11) ),
inference(resolution,[],[f23,f45]) ).
fof(f173,plain,
( ~ sP19(sK10)
| sP20(sK11) ),
inference(resolution,[],[f23,f49]) ).
fof(f188,plain,
( ~ sP19(sK10)
| spl25_1 ),
inference(forward_subsumption_resolution,[],[f173,f74]) ).
fof(f196,definition,
( spl25_25
<=> sP17(sK10) ),
introduced(definition,[new_symbols(definition,[spl25_25])],[avatar_definition]) ).
fof(f198,plain,
( ~ sP17(sK10)
| spl25_25 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f199,plain,
( spl25_8
| ~ spl25_25 ),
inference(avatar_split_clause,[],[f170,f196,f103]) ).
fof(f207,definition,
( spl25_27
<=> sP16(sK10) ),
introduced(definition,[new_symbols(definition,[spl25_27])],[avatar_definition]) ).
fof(f210,plain,
( spl25_27
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f167,f136,f207]) ).
fof(f222,definition,
( spl25_30
<=> sP14(sK10) ),
introduced(definition,[new_symbols(definition,[spl25_30])],[avatar_definition]) ).
fof(f225,plain,
( spl25_30
| ~ spl25_20 ),
inference(avatar_split_clause,[],[f164,f159,f222]) ).
fof(f235,plain,
( ~ sP0(sK9)
| ~ sP14(sK10) ),
inference(resolution,[],[f24,f38]) ).
fof(f238,plain,
( ~ sP0(sK9)
| ~ sP16(sK10) ),
inference(resolution,[],[f24,f42]) ).
fof(f239,plain,
( ~ sP0(sK9)
| sP17(sK10) ),
inference(resolution,[],[f24,f43]) ).
fof(f242,plain,
( ~ sP0(sK9)
| sP19(sK10) ),
inference(resolution,[],[f24,f47]) ).
fof(f259,plain,
( ~ sP0(sK9)
| spl25_1 ),
inference(forward_subsumption_resolution,[],[f242,f188]) ).
fof(f270,plain,
( ~ sP0(sK9)
| spl25_25 ),
inference(forward_subsumption_resolution,[],[f239,f198]) ).
fof(f272,definition,
( spl25_37
<=> sP0(sK9) ),
introduced(definition,[new_symbols(definition,[spl25_37])],[avatar_definition]) ).
fof(f274,plain,
( ~ sP0(sK9)
| spl25_37 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( ~ spl25_27
| ~ spl25_37 ),
inference(avatar_split_clause,[],[f238,f272,f207]) ).
fof(f290,plain,
( ~ spl25_30
| ~ spl25_37 ),
inference(avatar_split_clause,[],[f235,f272,f222]) ).
fof(f301,plain,
( ~ spl25_37
| spl25_1 ),
inference(avatar_split_clause,[],[f259,f72,f272]) ).
fof(f302,plain,
( ~ spl25_37
| spl25_25 ),
inference(avatar_split_clause,[],[f270,f196,f272]) ).
fof(f677,plain,
sP0(sK9),
inference(resolution,[],[f26,f25]) ).
fof(f691,plain,
( $false
| spl25_37 ),
inference(forward_subsumption_resolution,[],[f677,f274]) ).
fof(f692,plain,
spl25_37,
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f730,plain,
( ~ sP21(sK10)
| ~ sP22(sK11) ),
inference(resolution,[],[f54,f23]) ).
fof(f742,definition,
( spl25_109
<=> sP22(sK11) ),
introduced(definition,[new_symbols(definition,[spl25_109])],[avatar_definition]) ).
fof(f746,definition,
( spl25_110
<=> sP21(sK10) ),
introduced(definition,[new_symbols(definition,[spl25_110])],[avatar_definition]) ).
fof(f748,plain,
( ~ sP21(sK10)
| spl25_110 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f749,plain,
( ~ spl25_109
| ~ spl25_110 ),
inference(avatar_split_clause,[],[f730,f746,f742]) ).
fof(f814,plain,
( ~ sP23(sK10)
| ~ sP24(sK11) ),
inference(resolution,[],[f58,f23]) ).
fof(f826,definition,
( spl25_125
<=> sP24(sK11) ),
introduced(definition,[new_symbols(definition,[spl25_125])],[avatar_definition]) ).
fof(f830,definition,
( spl25_126
<=> sP23(sK10) ),
introduced(definition,[new_symbols(definition,[spl25_126])],[avatar_definition]) ).
fof(f832,plain,
( ~ sP23(sK10)
| spl25_126 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f833,plain,
( ~ spl25_125
| ~ spl25_126 ),
inference(avatar_split_clause,[],[f814,f830,f826]) ).
fof(f889,plain,
! [X0] :
( ~ r1(sK9,X0)
| sP21(X0) ),
inference(resolution,[],[f51,f25]) ).
fof(f894,plain,
! [X0] :
( ~ r1(sK9,X0)
| sP23(X0) ),
inference(resolution,[],[f55,f25]) ).
fof(f909,plain,
( p3(sK12)
| p1(sK12)
| sP22(sK11) ),
inference(resolution,[],[f53,f22]) ).
fof(f910,plain,
( p1(sK12)
| sP22(sK11)
| spl25_16 ),
inference(forward_subsumption_resolution,[],[f909,f142]) ).
fof(f920,plain,
( sP22(sK11)
| spl25_2
| spl25_16 ),
inference(forward_subsumption_resolution,[],[f910,f78]) ).
fof(f937,plain,
( spl25_109
| spl25_2
| spl25_16 ),
inference(avatar_split_clause,[],[f920,f140,f76,f742]) ).
fof(f952,plain,
( ~ p1(sK12)
| ~ p3(sK12)
| sP24(sK11) ),
inference(resolution,[],[f57,f22]) ).
fof(f953,plain,
( ~ p3(sK12)
| sP24(sK11)
| ~ spl25_2 ),
inference(forward_subsumption_resolution,[],[f952,f77]) ).
fof(f956,plain,
( sP24(sK11)
| ~ spl25_2
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f953,f141]) ).
fof(f963,plain,
( spl25_125
| ~ spl25_2
| ~ spl25_16 ),
inference(avatar_split_clause,[],[f956,f140,f76,f826]) ).
fof(f966,plain,
sP21(sK10),
inference(resolution,[],[f889,f24]) ).
fof(f978,plain,
( $false
| spl25_110 ),
inference(forward_subsumption_resolution,[],[f966,f748]) ).
fof(f979,plain,
spl25_110,
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f1004,plain,
sP23(sK10),
inference(resolution,[],[f894,f24]) ).
fof(f1013,plain,
( $false
| spl25_126 ),
inference(forward_subsumption_resolution,[],[f1004,f832]) ).
fof(f1014,plain,
spl25_126,
inference(avatar_contradiction_clause,[],[f1013]) ).
cnf(s1,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_3 ),
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( spl25_2
| spl25_3
| ~ spl25_8 ),
inference(sat_conversion,[],[f106]) ).
cnf(s9,plain,
( ~ spl25_3
| spl25_15
| ~ spl25_16 ),
inference(sat_conversion,[],[f143]) ).
cnf(s12,plain,
( spl25_3
| spl25_16
| spl25_20 ),
inference(sat_conversion,[],[f162]) ).
cnf(s15,plain,
( spl25_8
| ~ spl25_25 ),
inference(sat_conversion,[],[f199]) ).
cnf(s17,plain,
( ~ spl25_15
| spl25_27 ),
inference(sat_conversion,[],[f210]) ).
cnf(s20,plain,
( ~ spl25_20
| spl25_30 ),
inference(sat_conversion,[],[f225]) ).
cnf(s27,plain,
( ~ spl25_27
| ~ spl25_37 ),
inference(sat_conversion,[],[f275]) ).
cnf(s30,plain,
( ~ spl25_30
| ~ spl25_37 ),
inference(sat_conversion,[],[f290]) ).
cnf(s33,plain,
( spl25_1
| ~ spl25_37 ),
inference(sat_conversion,[],[f301]) ).
cnf(s34,plain,
( spl25_25
| ~ spl25_37 ),
inference(sat_conversion,[],[f302]) ).
cnf(s90,plain,
spl25_37,
inference(sat_conversion,[],[f692]) ).
cnf(s93,plain,
( ~ spl25_109
| ~ spl25_110 ),
inference(sat_conversion,[],[f749]) ).
cnf(s102,plain,
( ~ spl25_125
| ~ spl25_126 ),
inference(sat_conversion,[],[f833]) ).
cnf(s115,plain,
( spl25_2
| spl25_16
| spl25_109 ),
inference(sat_conversion,[],[f937]) ).
cnf(s120,plain,
( ~ spl25_2
| ~ spl25_16
| spl25_125 ),
inference(sat_conversion,[],[f963]) ).
cnf(s123,plain,
spl25_110,
inference(sat_conversion,[],[f979]) ).
cnf(s128,plain,
spl25_126,
inference(sat_conversion,[],[f1014]) ).
cnf(s129,plain,
~ spl25_125,
inference(rat,[],[s102,s128]) ).
cnf(s131,plain,
~ spl25_109,
inference(rat,[],[s93,s123]) ).
cnf(s143,plain,
spl25_25,
inference(rat,[],[s34,s90]) ).
cnf(s144,plain,
spl25_1,
inference(rat,[],[s33,s90]) ).
cnf(s145,plain,
~ spl25_30,
inference(rat,[],[s30,s90]) ).
cnf(s146,plain,
~ spl25_27,
inference(rat,[],[s27,s90]) ).
cnf(s147,plain,
~ spl25_20,
inference(rat,[],[s20,s145]) ).
cnf(s148,plain,
~ spl25_15,
inference(rat,[],[s17,s146]) ).
cnf(s149,plain,
spl25_8,
inference(rat,[],[s15,s143]) ).
cnf(s150,plain,
( spl25_3
| spl25_16 ),
inference(rat,[],[s12,s147]) ).
cnf(s151,plain,
( ~ spl25_3
| ~ spl25_16 ),
inference(rat,[],[s9,s148]) ).
cnf(s152,plain,
( spl25_2
| spl25_3 ),
inference(rat,[],[s4,s149]) ).
cnf(s153,plain,
( ~ spl25_2
| ~ spl25_3 ),
inference(rat,[],[s1,s144]) ).
cnf(s154,plain,
spl25_2,
inference(rat,[],[s151,s152,s115,s131]) ).
cnf(s155,plain,
~ spl25_16,
inference(rat,[],[s120,s129,s154]) ).
cnf(s156,plain,
~ spl25_3,
inference(rat,[],[s153,s154]) ).
cnf(s157,plain,
$false,
inference(rat,[],[s150,s155,s156]) ).
fof(f1015,plain,
$false,
inference(avatar_sat_refutation,[],[s157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL650+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Sun Sep 27 16:15:49 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.00 % (2561592)Detected formulas, will run a generic FOF schedule.
% 0.76/1.00 % (2561603)dis-21_1_sil=8000:lcm=predicate:random_seed=4102979639: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)
% 0.76/1.00 % (2561601)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=670342436:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.76/1.00 % (2561598)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=716939140:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.76/1.00 % (2561600)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=771147323:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.76/1.00 % (2561597)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=3071538341:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.76/1.00 % (2561599)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=1277320741:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.76/1.00 % (2561602)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3972584315:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.76/1.00 % (2561600)First to succeed.
% 0.76/1.00 % (2561600)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2561592"
% 0.76/1.00 % (2561601)Also succeeded, but the first one will report.
% 0.76/1.00 % (2561603)Instruction limit reached!
% 0.76/1.00 % (2561603)------------------------------
% 0.76/1.00 % (2561603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.76/1.00 % (2561603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/1.00 % (2561603)CaDiCaL version: 2.1.3
% 0.76/1.00 % (2561603)Termination reason: Instruction limit
% 0.76/1.00 % (2561603)Termination phase: Saturation
% 0.76/1.00 % (2561603)Time elapsed: 0.026 s
% 0.76/1.00 % (2561603)Peak memory usage: 87 MB
% 0.76/1.00 % (2561603)Instructions burned: 135 (million)
% 0.76/1.00 % (2561602)Instruction limit reached!
% 0.76/1.00 % (2561602)------------------------------
% 0.76/1.00 % (2561602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.76/1.00 % (2561602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/1.00 % (2561602)CaDiCaL version: 2.1.3
% 0.76/1.00 % (2561602)Termination reason: Instruction limit
% 0.76/1.00 % (2561602)Termination phase: Saturation
% 0.76/1.00 % (2561602)Time elapsed: 0.038 s
% 0.76/1.00 % (2561602)Peak memory usage: 88 MB
% 0.76/1.00 % (2561602)Instructions burned: 144 (million)
% 0.76/1.00 % (2561611)lrs+10_1_sil=8000:sp=occurrence:random_seed=3314734028:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.76/1.00 % (2561612)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3582327049:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.76/1.00 % (2561612)Refutation not found, incomplete strategy
% 0.76/1.00 % (2561612)------------------------------
% 0.76/1.00 % (2561612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.76/1.00 % (2561612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/1.00 % (2561612)CaDiCaL version: 2.1.3
% 0.76/1.00 % (2561612)Termination reason: Refutation not found, incomplete strategy
% 0.76/1.00 % (2561612)Time elapsed: 0.003 s
% 0.76/1.00 % (2561612)Peak memory usage: 88 MB
% 0.76/1.00 % (2561612)Instructions burned: 9 (million)
% 0.76/1.00 % (2561611)Also succeeded, but the first one will report.
% 0.76/1.00 % (2561615)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2763703467:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 0.76/1.00 % (2561612)------------------------------
% 0.76/1.00 % (2561612)------------------------------
% 0.76/1.00 % (2561615)Also succeeded, but the first one will report.
% 0.76/1.00 % (2561597)Also succeeded, but the first one will report.
% 0.76/1.00 % (2561598)Also succeeded, but the first one will report.
% 0.76/1.00 % (2561600)Refutation found. Thanks to Tanya!
% 0.76/1.00 % SZS status Theorem for theBenchmark
% 0.76/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 3.23/1.10 % (2561600)------------------------------
% 3.23/1.10 % (2561600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.10 % (2561600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.10 % (2561600)CaDiCaL version: 2.1.3
% 3.23/1.10 % (2561600)Termination reason: Refutation
% 3.23/1.10 % (2561600)Time elapsed: 0.006 s
% 3.23/1.10 % (2561600)Peak memory usage: 89 MB
% 3.23/1.10 % (2561600)Instructions burned: 14 (million)
% 3.23/1.10 % (2561600)------------------------------
% 3.23/1.10 % (2561600)------------------------------
% 3.23/1.10 % (2561592)Success in time 0.464 s
% 3.23/1.10 % Vampire exiting
%------------------------------------------------------------------------------