%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN058+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:26:40 PM UTC 2026
% Result : Theorem 9.56s 2.71s
% Output : Refutation 13.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 118 ( 69 unt; 3 def)
% Number of atoms : 329 ( 82 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 380 ( 169 ~; 140 |; 68 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 305 ( 0 sgn 258 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X1 != X0 )
| ( r1(X1)
& X1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X2 != X1 )
| ( r2(X0,X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ r3(X0,X1,X3)
& X3 != X2 )
| ( r3(X0,X1,X3)
& X3 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f4,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ r4(X0,X1,X3)
& X3 != X2 )
| ( r4(X0,X1,X3)
& X3 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f5,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) )
& X3 = X2 )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f6,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r2(X1,X4)
& r4(X0,X4,X3) )
& X3 = X2 )
& ? [X5] :
( r3(X5,X0,X2)
& r4(X0,X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f8,axiom,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f9,axiom,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& X1 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f12,conjecture,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ? [X4] :
( r4(X4,X1,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( r1(X6)
& r2(X6,X5) ) ) )
& X3 = X0 )
& ? [X7] :
( r3(X1,X2,X7)
& X7 = X0 ) )
& ? [X8,X9] :
( X9 = X0
& ? [X10] :
( r3(X8,X10,X9)
& ? [X11] :
( r2(X11,X10)
& ? [X12] :
( r2(X12,X11)
& ? [X13] :
( r2(X13,X12)
& ? [X14] :
( r1(X14)
& r2(X14,X13) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',evengreq4) ).
fof(f13,negated_conjecture,
~ ? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ? [X4] :
( r4(X4,X1,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( r1(X6)
& r2(X6,X5) ) ) )
& X3 = X0 )
& ? [X7] :
( r3(X1,X2,X7)
& X7 = X0 ) )
& ? [X8,X9] :
( X9 = X0
& ? [X10] :
( r3(X8,X10,X9)
& ? [X11] :
( r2(X11,X10)
& ? [X12] :
( r2(X12,X11)
& ? [X13] :
( r2(X13,X12)
& ? [X14] :
( r1(X14)
& r2(X14,X13) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ~ r4(X4,X1,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r1(X6)
| ~ r2(X6,X5) ) ) )
| X0 != X3 )
| ! [X7] :
( ~ r3(X1,X2,X7)
| X0 != X7 ) )
| ! [X8,X9] :
( X0 != X9
| ! [X10] :
( ~ r3(X8,X10,X9)
| ! [X11] :
( ~ r2(X11,X10)
| ! [X12] :
( ~ r2(X12,X11)
| ! [X13] :
( ~ r2(X13,X12)
| ! [X14] :
( ~ r1(X14)
| ~ r2(X14,X13) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f15,plain,
! [X1] :
( ( ~ r1(X1)
& sK0 != X1 )
| ( r1(X1)
& sK0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f16,plain,
! [X0,X2] :
( ( ~ r2(X0,X2)
& sK1(X0) != X2 )
| ( r2(X0,X2)
& sK1(X0) = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f2]) ).
fof(f17,plain,
! [X0,X1,X3] :
( ( ~ r3(X0,X1,X3)
& sK2(X0,X1) != X3 )
| ( r3(X0,X1,X3)
& sK2(X0,X1) = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f3]) ).
fof(f18,plain,
! [X0,X1,X3] :
( ( ~ r4(X0,X1,X3)
& sK3(X0,X1) != X3 )
| ( r4(X0,X1,X3)
& sK3(X0,X1) = X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f4]) ).
fof(f19,plain,
! [X0,X1] :
( r2(X1,sK6(X0,X1))
& r3(X0,sK6(X0,X1),sK5(X0,X1))
& sK4(X0,X1) = sK5(X0,X1)
& r2(sK7(X0,X1),sK4(X0,X1))
& r3(X0,X1,sK7(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X5,sK7(X0,X1))],[f5]) ).
fof(f20,plain,
! [X0,X1] :
( r2(X1,sK10(X0,X1))
& r4(X0,sK10(X0,X1),sK9(X0,X1))
& sK8(X0,X1) = sK9(X0,X1)
& r3(sK11(X0,X1),X0,sK8(X0,X1))
& r4(X0,X1,sK11(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1)),skolemize(X4,sK10(X0,X1)),skolemize(X5,sK11(X0,X1))],[f6]) ).
fof(f21,plain,
! [X0] :
( r1(sK13(X0))
& r3(X0,sK13(X0),sK12(X0))
& sK12(X0) = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f8]) ).
fof(f22,plain,
! [X0] :
( r1(sK15(X0))
& r4(X0,sK15(X0),sK14(X0))
& r1(sK16(X0))
& sK14(X0) = sK16(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0))],[f9]) ).
fof(f25,plain,
! [X1] :
( sK0 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X1] :
( ~ r1(X1)
| sK0 = X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X2,X0] :
( sK1(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK1(X0) = X2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f34,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK2(X0,X1) = X3 ),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| sK3(X0,X1) = X3 ),
inference(cnf_transformation,[],[f18]) ).
fof(f40,plain,
! [X0,X1] : r3(X0,X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
! [X0,X1] : r2(sK7(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X0,X1] : sK4(X0,X1) = sK5(X0,X1),
inference(cnf_transformation,[],[f19]) ).
fof(f43,plain,
! [X0,X1] : r3(X0,sK6(X0,X1),sK5(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] : r2(X1,sK6(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
! [X0,X1] : r4(X0,X1,sK11(X0,X1)),
inference(cnf_transformation,[],[f20]) ).
fof(f46,plain,
! [X0,X1] : r3(sK11(X0,X1),X0,sK8(X0,X1)),
inference(cnf_transformation,[],[f20]) ).
fof(f47,plain,
! [X0,X1] : sK8(X0,X1) = sK9(X0,X1),
inference(cnf_transformation,[],[f20]) ).
fof(f48,plain,
! [X0,X1] : r4(X0,sK10(X0,X1),sK9(X0,X1)),
inference(cnf_transformation,[],[f20]) ).
fof(f49,plain,
! [X0,X1] : r2(X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f20]) ).
fof(f51,plain,
! [X0] : sK12(X0) = X0,
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f54,plain,
! [X0] : sK14(X0) = sK16(X0),
inference(cnf_transformation,[],[f22]) ).
fof(f55,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f56,plain,
! [X0] : r4(X0,sK15(X0),sK14(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f57,plain,
! [X0] : r1(sK15(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f63,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r4(X4,X1,X3)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| X0 != X3
| ~ r3(X1,X2,X7)
| X0 != X7
| X0 != X9
| ~ r3(X8,X10,X9)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r1(X14)
| ~ r2(X14,X13) ),
inference(cnf_transformation,[],[f14]) ).
fof(f64,plain,
! [X0,X1] : r2(sK7(X0,X1),sK5(X0,X1)),
inference(definition_unfolding,[],[f41,f42]) ).
fof(f65,plain,
! [X0,X1] : r3(sK11(X0,X1),X0,sK9(X0,X1)),
inference(definition_unfolding,[],[f46,f47]) ).
fof(f66,plain,
! [X0] : r4(X0,sK15(X0),sK16(X0)),
inference(definition_unfolding,[],[f56,f54]) ).
fof(f67,plain,
r1(sK0),
inference(equality_resolution,[],[f25]) ).
fof(f69,plain,
! [X0] : r2(X0,sK1(X0)),
inference(equality_resolution,[],[f29]) ).
fof(f77,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r4(X4,X1,X3)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r3(X1,X2,X7)
| X3 != X7
| X3 != X9
| ~ r3(X8,X10,X9)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r1(X14)
| ~ r2(X14,X13) ),
inference(equality_resolution,[],[f63]) ).
fof(f78,plain,
! [X2,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r4(X4,X1,X7)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r3(X1,X2,X7)
| X7 != X9
| ~ r3(X8,X10,X9)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r1(X14)
| ~ r2(X14,X13) ),
inference(equality_resolution,[],[f77]) ).
fof(f79,plain,
! [X2,X10,X11,X1,X8,X6,X9,X14,X4,X5,X12,X13] :
( ~ r4(X4,X1,X9)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r3(X1,X2,X9)
| ~ r3(X8,X10,X9)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r1(X14)
| ~ r2(X14,X13) ),
inference(equality_resolution,[],[f78]) ).
fof(f80,plain,
! [X0] : r3(X0,sK13(X0),X0),
inference(forward_demodulation,[],[f52,f51]) ).
fof(f84,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r3(sK10(X1,X3),X4,sK9(X1,X3))
| ~ r1(X2)
| ~ r2(X2,X0)
| ~ r2(X0,X1)
| ~ r3(X5,X6,sK9(X1,X3))
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r1(X10)
| ~ r2(X10,X9) ),
inference(resolution,[],[f48,f79]) ).
fof(f86,plain,
! [X0,X1] : sK3(X0,X1) = sK11(X0,X1),
inference(resolution,[],[f38,f45]) ).
fof(f87,plain,
! [X0] : sK16(X0) = sK3(X0,sK15(X0)),
inference(resolution,[],[f38,f66]) ).
fof(f88,plain,
! [X0,X1] : sK9(X0,X1) = sK3(X0,sK10(X0,X1)),
inference(resolution,[],[f38,f48]) ).
fof(f90,plain,
! [X0] : sK2(X0,sK13(X0)) = X0,
inference(resolution,[],[f34,f80]) ).
fof(f92,plain,
! [X0,X1] : sK2(X0,X1) = sK7(X0,X1),
inference(resolution,[],[f34,f40]) ).
fof(f93,plain,
! [X0,X1] : sK5(X0,X1) = sK2(X0,sK6(X0,X1)),
inference(resolution,[],[f34,f43]) ).
fof(f103,plain,
! [X0] : sK0 = sK13(X0),
inference(resolution,[],[f26,f53]) ).
fof(f104,plain,
! [X0] : sK0 = sK15(X0),
inference(resolution,[],[f26,f57]) ).
fof(f105,plain,
! [X0] : sK0 = sK16(X0),
inference(resolution,[],[f26,f55]) ).
fof(f108,plain,
! [X0] : sK16(X0) = sK3(X0,sK0),
inference(superposition,[],[f87,f104]) ).
fof(f112,plain,
! [X0] : sK0 = sK3(X0,sK0),
inference(forward_demodulation,[],[f108,f105]) ).
fof(f152,plain,
! [X0] : sK2(X0,sK0) = X0,
inference(superposition,[],[f90,f103]) ).
fof(f161,plain,
! [X0,X1] : sK9(X0,X1) = sK2(sK11(X0,X1),X0),
inference(resolution,[],[f65,f34]) ).
fof(f163,plain,
! [X0,X1] : sK9(X0,X1) = sK2(sK3(X0,X1),X0),
inference(forward_demodulation,[],[f161,f86]) ).
fof(f165,plain,
! [X0,X1] : sK9(X0,sK10(X0,X1)) = sK2(sK9(X0,X1),X0),
inference(superposition,[],[f163,f88]) ).
fof(f166,plain,
! [X0] : sK9(X0,sK0) = sK2(sK0,X0),
inference(superposition,[],[f163,f112]) ).
fof(f216,plain,
! [X0,X1] : sK1(X0) = sK6(X1,X0),
inference(resolution,[],[f30,f44]) ).
fof(f217,plain,
! [X0,X1] : sK1(X0) = sK10(X1,X0),
inference(resolution,[],[f30,f49]) ).
fof(f219,plain,
! [X0,X1] : sK5(X0,X1) = sK1(sK7(X0,X1)),
inference(resolution,[],[f30,f64]) ).
fof(f220,plain,
! [X0,X1] : sK5(X0,X1) = sK1(sK2(X0,X1)),
inference(forward_demodulation,[],[f219,f92]) ).
fof(f222,plain,
! [X0,X1] : sK5(X1,X0) = sK2(X1,sK1(X0)),
inference(superposition,[],[f93,f216]) ).
fof(f225,plain,
! [X0,X1] : sK2(sK9(X1,X0),X1) = sK9(X1,sK1(X0)),
inference(superposition,[],[f165,f217]) ).
fof(f230,plain,
! [X0,X1] : sK5(X0,sK6(X0,X1)) = sK1(sK5(X0,X1)),
inference(superposition,[],[f220,f93]) ).
fof(f232,plain,
! [X0] : sK1(X0) = sK5(X0,sK0),
inference(superposition,[],[f220,f152]) ).
fof(f236,plain,
! [X0,X1] : sK1(sK5(X0,X1)) = sK5(X0,sK1(X1)),
inference(forward_demodulation,[],[f230,f216]) ).
fof(f239,plain,
! [X0,X1] : r3(X0,sK6(X0,sK1(X1)),sK1(sK5(X0,X1))),
inference(superposition,[],[f43,f236]) ).
fof(f240,plain,
! [X0,X1] : r3(X0,sK1(sK1(X1)),sK1(sK5(X0,X1))),
inference(forward_demodulation,[],[f239,f216]) ).
fof(f245,plain,
! [X0,X1] : r3(X0,sK1(sK1(sK1(X1))),sK1(sK1(sK5(X0,X1)))),
inference(superposition,[],[f240,f236]) ).
fof(f248,plain,
! [X0] : r3(X0,sK1(sK1(sK0)),sK1(sK1(X0))),
inference(superposition,[],[f240,f232]) ).
fof(f282,plain,
! [X0] : sK9(X0,sK1(sK0)) = sK2(sK2(sK0,X0),X0),
inference(superposition,[],[f225,f166]) ).
fof(f294,plain,
! [X0] : sK9(sK6(sK0,X0),sK1(sK0)) = sK2(sK5(sK0,X0),sK6(sK0,X0)),
inference(superposition,[],[f282,f93]) ).
fof(f305,plain,
! [X0] : sK9(sK1(X0),sK1(sK0)) = sK2(sK5(sK0,X0),sK1(X0)),
inference(forward_demodulation,[],[f294,f216]) ).
fof(f310,plain,
! [X0] : sK9(sK1(X0),sK1(sK0)) = sK5(sK5(sK0,X0),X0),
inference(forward_demodulation,[],[f305,f222]) ).
fof(f322,plain,
! [X0] : sK9(sK1(sK1(X0)),sK1(sK0)) = sK1(sK5(sK5(sK0,sK1(X0)),X0)),
inference(superposition,[],[f236,f310]) ).
fof(f323,plain,
! [X0] : sK9(sK1(sK1(X0)),sK1(sK0)) = sK1(sK5(sK1(sK5(sK0,X0)),X0)),
inference(forward_demodulation,[],[f322,f236]) ).
fof(f397,plain,
! [X0,X1] : r3(X0,sK1(sK1(sK1(sK1(X1)))),sK1(sK1(sK1(sK5(X0,X1))))),
inference(superposition,[],[f245,f236]) ).
fof(f620,definition,
( spl20_13
<=> ! [X2,X1] :
( ~ r2(X1,sK1(sK1(sK0)))
| ~ r1(X2)
| ~ r2(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl20_13])],[avatar_definition]) ).
fof(f621,plain,
( ! [X2,X1] :
( ~ r2(X1,sK1(sK1(sK0)))
| ~ r1(X2)
| ~ r2(X2,X1) )
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f693,plain,
! [X0] : r3(X0,sK1(sK1(sK1(sK1(sK0)))),sK1(sK1(sK1(sK1(X0))))),
inference(superposition,[],[f397,f232]) ).
fof(f837,plain,
sK9(sK1(sK1(sK0)),sK1(sK0)) = sK1(sK1(sK1(sK5(sK0,sK0)))),
inference(superposition,[],[f323,f232]) ).
fof(f862,plain,
sK1(sK1(sK1(sK1(sK0)))) = sK9(sK1(sK1(sK0)),sK1(sK0)),
inference(forward_demodulation,[],[f837,f232]) ).
fof(f870,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r3(sK10(sK1(sK1(sK0)),sK1(sK0)),X0,sK1(sK1(sK1(sK1(sK0)))))
| ~ r1(X1)
| ~ r2(X1,X2)
| ~ r2(X2,sK1(sK1(sK0)))
| ~ r3(X3,X4,sK1(sK1(sK1(sK1(sK0)))))
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r1(X8)
| ~ r2(X8,X7) ),
inference(superposition,[],[f84,f862]) ).
fof(f876,definition,
( spl20_18
<=> ! [X5,X6,X4,X7,X3,X8] :
( ~ r3(X3,X4,sK1(sK1(sK1(sK1(sK0)))))
| ~ r1(X8)
| ~ r2(X8,X7)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X4) ) ),
introduced(definition,[new_symbols(definition,[spl20_18])],[avatar_definition]) ).
fof(f877,plain,
( ! [X3,X8,X6,X7,X4,X5] :
( ~ r3(X3,X4,sK1(sK1(sK1(sK1(sK0)))))
| ~ r1(X8)
| ~ r2(X8,X7)
| ~ r2(X7,X6)
| ~ r2(X6,X5)
| ~ r2(X5,X4) )
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f879,definition,
( spl20_19
<=> ! [X0] : ~ r3(sK1(sK1(sK0)),X0,sK1(sK1(sK1(sK1(sK0))))) ),
introduced(definition,[new_symbols(definition,[spl20_19])],[avatar_definition]) ).
fof(f880,plain,
( ! [X0] : ~ r3(sK1(sK1(sK0)),X0,sK1(sK1(sK1(sK1(sK0)))))
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f885,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r3(sK1(sK1(sK0)),X0,sK1(sK1(sK1(sK1(sK0)))))
| ~ r1(X1)
| ~ r2(X1,X2)
| ~ r2(X2,sK1(sK1(sK0)))
| ~ r3(X3,X4,sK1(sK1(sK1(sK1(sK0)))))
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r1(X8)
| ~ r2(X8,X7) ),
inference(forward_demodulation,[],[f870,f217]) ).
fof(f893,plain,
( spl20_18
| spl20_13
| spl20_19 ),
inference(avatar_split_clause,[],[f885,f879,f620,f876]) ).
fof(f920,plain,
( ! [X0] :
( ~ r2(X0,sK1(sK0))
| ~ r1(X0) )
| ~ spl20_13 ),
inference(resolution,[],[f621,f69]) ).
fof(f921,plain,
( ~ r1(sK0)
| ~ spl20_13 ),
inference(resolution,[],[f920,f69]) ).
fof(f922,plain,
( $false
| ~ spl20_13 ),
inference(forward_subsumption_resolution,[],[f921,f67]) ).
fof(f923,plain,
~ spl20_13,
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f927,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X3,sK1(sK1(sK1(sK1(sK0)))))
| ~ r2(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r1(X0) )
| ~ spl20_18 ),
inference(resolution,[],[f877,f693]) ).
fof(f940,plain,
( ! [X2,X0,X1] :
( ~ r2(X2,sK1(sK1(sK1(sK0))))
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(X0) )
| ~ spl20_18 ),
inference(resolution,[],[f927,f69]) ).
fof(f941,plain,
( ! [X0,X1] :
( ~ r2(X0,sK1(sK1(sK0)))
| ~ r2(X1,X0)
| ~ r1(X1) )
| ~ spl20_18 ),
inference(resolution,[],[f940,f69]) ).
fof(f942,plain,
( spl20_13
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f941,f876,f620]) ).
fof(f943,plain,
( $false
| ~ spl20_19 ),
inference(resolution,[],[f880,f248]) ).
fof(f944,plain,
~ spl20_19,
inference(avatar_contradiction_clause,[],[f943]) ).
cnf(s11,plain,
( spl20_13
| spl20_18
| spl20_19 ),
inference(sat_conversion,[],[f893]) ).
cnf(s13,plain,
~ spl20_13,
inference(sat_conversion,[],[f923]) ).
cnf(s15,plain,
( spl20_13
| ~ spl20_18 ),
inference(sat_conversion,[],[f942]) ).
cnf(s16,plain,
~ spl20_19,
inference(sat_conversion,[],[f944]) ).
cnf(s17,plain,
~ spl20_18,
inference(rat,[],[s15,s13]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s11,s16,s17,s13]) ).
fof(f945,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN058+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n015.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 21:55:16 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.48 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
% 9.56/2.71 % (2047333)Detected formulas, will run a generic FOF schedule.
% 9.56/2.71 % (2047346)dis-21_1_sil=8000:lcm=predicate:random_seed=3768587767:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 9.56/2.71 % (2047346)Refutation not found, incomplete strategy
% 9.56/2.71 % (2047346)------------------------------
% 9.56/2.71 % (2047346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047346)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047346)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.71 % (2047346)Time elapsed: 0.002 s
% 9.56/2.71 % (2047346)Peak memory usage: 88 MB
% 9.56/2.71 % (2047346)Instructions burned: 4 (million)
% 9.56/2.71 % (2047341)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=3846238548:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 9.56/2.71 % (2047342)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=1999212099:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 9.56/2.71 % (2047343)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3451070512:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 9.56/2.71 % (2047345)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1619316641:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 9.56/2.71 % (2047340)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=3593271781:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 9.56/2.71 % (2047344)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1314840831:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 9.56/2.71 % (2047343)Refutation not found, incomplete strategy
% 9.56/2.71 % (2047343)------------------------------
% 9.56/2.71 % (2047343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047343)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047343)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.71 % (2047343)Time elapsed: 0.008 s
% 9.56/2.71 % (2047343)Peak memory usage: 88 MB
% 9.56/2.71 % (2047343)Instructions burned: 6 (million)
% 9.56/2.71 % (2047346)------------------------------
% 9.56/2.71 % (2047346)------------------------------
% 9.56/2.71 % (2047344)Instruction limit reached!
% 9.56/2.71 % (2047344)------------------------------
% 9.56/2.71 % (2047344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047344)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047344)Termination reason: Instruction limit
% 9.56/2.71 % (2047344)Termination phase: Saturation
% 9.56/2.71 % (2047344)Time elapsed: 0.109 s
% 9.56/2.71 % (2047344)Peak memory usage: 88 MB
% 9.56/2.71 % (2047344)Instructions burned: 119 (million)
% 9.56/2.71 % (2047345)Instruction limit reached!
% 9.56/2.71 % (2047345)------------------------------
% 9.56/2.71 % (2047345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047345)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047345)Termination reason: Instruction limit
% 9.56/2.71 % (2047345)Termination phase: Saturation
% 9.56/2.71 % (2047345)Time elapsed: 0.134 s
% 9.56/2.71 % (2047345)Peak memory usage: 89 MB
% 9.56/2.71 % (2047345)Instructions burned: 139 (million)
% 9.56/2.71 % (2047356)lrs+10_1_sil=8000:sp=occurrence:random_seed=736014020:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.56/2.71 % (2047357)lrs+10_1_sil=32000:urr=on:br=off:random_seed=309778471:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.56/2.71 % (2047358)lrs+1011_1_sil=32000:sp=occurrence:random_seed=900311667:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.56/2.71 % (2047356)Instruction limit reached!
% 9.56/2.71 % (2047356)------------------------------
% 9.56/2.71 % (2047356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047356)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047356)Termination reason: Instruction limit
% 9.56/2.71 % (2047356)Termination phase: Saturation
% 9.56/2.71 % (2047356)Time elapsed: 0.149 s
% 9.56/2.71 % (2047356)Peak memory usage: 91 MB
% 9.56/2.71 % (2047356)Instructions burned: 287 (million)
% 9.56/2.71 % (2047343)------------------------------
% 9.56/2.71 % (2047343)------------------------------
% 9.56/2.71 % (2047357)Instruction limit reached!
% 9.56/2.71 % (2047357)------------------------------
% 9.56/2.71 % (2047357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047357)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047357)Termination reason: Instruction limit
% 9.56/2.71 % (2047357)Termination phase: Saturation
% 9.56/2.71 % (2047357)Time elapsed: 0.127 s
% 9.56/2.71 % (2047357)Peak memory usage: 91 MB
% 9.56/2.71 % (2047357)Instructions burned: 157 (million)
% 9.56/2.71 % (2047368)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=447657894:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 9.56/2.71 % (2047369)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=917256196:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 9.56/2.71 % (2047369)Refutation not found, incomplete strategy
% 9.56/2.71 % (2047369)------------------------------
% 9.56/2.71 % (2047369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047369)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047369)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.71 % (2047369)Time elapsed: 0.004 s
% 9.56/2.71 % (2047369)Peak memory usage: 88 MB
% 9.56/2.71 % (2047369)Instructions burned: 2 (million)
% 9.56/2.71 % (2047368)Instruction limit reached!
% 9.56/2.71 % (2047368)------------------------------
% 9.56/2.71 % (2047368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047368)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047368)Termination reason: Instruction limit
% 9.56/2.71 % (2047368)Termination phase: Saturation
% 9.56/2.71 % (2047368)Time elapsed: 0.106 s
% 9.56/2.71 % (2047368)Peak memory usage: 91 MB
% 9.56/2.71 % (2047368)Instructions burned: 249 (million)
% 9.56/2.71 % (2047358)Instruction limit reached!
% 9.56/2.71 % (2047358)------------------------------
% 9.56/2.71 % (2047358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047358)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047358)Termination reason: Instruction limit
% 9.56/2.71 % (2047358)Termination phase: Saturation
% 9.56/2.71 % (2047358)Time elapsed: 0.326 s
% 9.56/2.71 % (2047358)Peak memory usage: 91 MB
% 9.56/2.71 % (2047358)Instructions burned: 325 (million)
% 9.56/2.71 % (2047371)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3951329543:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 9.56/2.71 % (2047377)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3661395640:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 9.56/2.71 % (2047377)Refutation not found, incomplete strategy
% 9.56/2.71 % (2047377)------------------------------
% 9.56/2.71 % (2047377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047377)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047377)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.71 % (2047377)Time elapsed: 0.007 s
% 9.56/2.71 % (2047377)Peak memory usage: 88 MB
% 9.56/2.71 % (2047377)Instructions burned: 11 (million)
% 9.56/2.71 % (2047378)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3135156698:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 9.56/2.71 % (2047342)Refutation not found, incomplete strategy
% 9.56/2.71 % (2047342)------------------------------
% 9.56/2.71 % (2047342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047342)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047342)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.71 % (2047342)Time elapsed: 1.058 s
% 9.56/2.71 % (2047342)Peak memory usage: 129 MB
% 9.56/2.71 % (2047342)Instructions burned: 955 (million)
% 9.56/2.71 % (2047369)------------------------------
% 9.56/2.71 % (2047369)------------------------------
% 9.56/2.71 % (2047378)Instruction limit reached!
% 9.56/2.71 % (2047378)------------------------------
% 9.56/2.71 % (2047378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047378)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047378)Termination reason: Instruction limit
% 9.56/2.71 % (2047378)Termination phase: Saturation
% 9.56/2.71 % (2047378)Time elapsed: 0.116 s
% 9.56/2.71 % (2047378)Peak memory usage: 88 MB
% 9.56/2.71 % (2047378)Instructions burned: 127 (million)
% 9.56/2.71 % (2047340)First to succeed.
% 9.56/2.71 % (2047377)------------------------------
% 9.56/2.71 % (2047377)------------------------------
% 9.56/2.71 % (2047340)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2047333"
% 9.56/2.71 % (2047384)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3762621307:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 9.56/2.71 % (2047382)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2072247520:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 9.56/2.71 % (2047383)lrs+10_1_sil=8000:sp=occurrence:random_seed=1921834478:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 9.56/2.71 % (2047384)Refutation not found, incomplete strategy
% 9.56/2.71 % (2047384)------------------------------
% 9.56/2.71 % (2047384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047384)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047384)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.71 % (2047384)Time elapsed: 0.004 s
% 9.56/2.71 % (2047384)Peak memory usage: 88 MB
% 9.56/2.71 % (2047384)Instructions burned: 4 (million)
% 9.56/2.71 % (2047342)------------------------------
% 9.56/2.71 % (2047342)------------------------------
% 9.56/2.71 % (2047382)Instruction limit reached!
% 9.56/2.71 % (2047382)------------------------------
% 9.56/2.71 % (2047382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.71 % (2047382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.71 % (2047382)CaDiCaL version: 2.1.3
% 9.56/2.71 % (2047382)Termination reason: Instruction limit
% 9.56/2.71 % (2047382)Termination phase: Saturation
% 9.56/2.71 % (2047382)Time elapsed: 0.113 s
% 9.56/2.71 % (2047382)Peak memory usage: 89 MB
% 9.56/2.71 % (2047382)Instructions burned: 114 (million)
% 9.56/2.71 % (2047340)Refutation found. Thanks to Tanya!
% 9.56/2.71 % SZS status Theorem for theBenchmark
% 9.56/2.71 % SZS output start Proof for theBenchmark
% See solution above
% 13.78/2.92 % (2047340)------------------------------
% 13.78/2.92 % (2047340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/2.92 % (2047340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.92 % (2047340)CaDiCaL version: 2.1.3
% 13.78/2.92 % (2047340)Termination reason: Refutation
% 13.78/2.92 % (2047340)Time elapsed: 1.163 s
% 13.78/2.92 % (2047340)Peak memory usage: 130 MB
% 13.78/2.92 % (2047340)Instructions burned: 1048 (million)
% 13.78/2.92 % (2047340)------------------------------
% 13.78/2.92 % (2047340)------------------------------
% 13.78/2.92 % (2047333)Success in time 1.851 s
% 13.78/2.92 % Vampire exiting
%------------------------------------------------------------------------------