%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN077+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 : n010.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 12:26:45 PM UTC 2026
% Result : Theorem 6.36s 2.01s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 118 ( 51 unt; 3 def)
% Number of atoms : 530 ( 60 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 794 ( 382 ~; 337 |; 72 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 9 ( 2 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 : 444 ( 0 sgn 397 !; 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] :
( X0 = X1
& ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( r2(X6,X5)
& ? [X7] :
( r1(X7)
& r2(X7,X6) ) ) ) ) ) ) )
& ? [X8] :
( ? [X9] :
( r2(X9,X8)
& ? [X10] :
( r2(X10,X9)
& ? [X11] :
( r1(X11)
& r2(X11,X10) ) ) )
& ? [X12] :
( r4(X12,X8,X0)
& ? [X13] :
( r2(X13,X12)
& ? [X14] :
( r1(X14)
& r2(X14,X13) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',twotimesthreeeqsix) ).
fof(f13,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( r2(X6,X5)
& ? [X7] :
( r1(X7)
& r2(X7,X6) ) ) ) ) ) ) )
& ? [X8] :
( ? [X9] :
( r2(X9,X8)
& ? [X10] :
( r2(X10,X9)
& ? [X11] :
( r1(X11)
& r2(X11,X10) ) ) )
& ? [X12] :
( r4(X12,X8,X0)
& ? [X13] :
( r2(X13,X12)
& ? [X14] :
( r1(X14)
& r2(X14,X13) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( X0 != X1
| ! [X2] :
( ~ r2(X2,X1)
| ! [X3] :
( ~ r2(X3,X2)
| ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r1(X7)
| ~ r2(X7,X6) ) ) ) ) ) ) )
| ! [X8] :
( ! [X9] :
( ~ r2(X9,X8)
| ! [X10] :
( ~ r2(X10,X9)
| ! [X11] :
( ~ r1(X11)
| ~ r2(X11,X10) ) ) )
| ! [X12] :
( ~ r4(X12,X8,X0)
| ! [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] :
( X0 != X1
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r1(X11)
| ~ r2(X11,X10)
| ~ r4(X12,X8,X0)
| ~ 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(X12,X8,X1)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r1(X11)
| ~ r2(X11,X10)
| ~ r2(X2,X1)
| ~ r2(X13,X12)
| ~ r1(X14)
| ~ r2(X14,X13) ),
inference(equality_resolution,[],[f63]) ).
fof(f78,plain,
! [X0] : r3(X0,sK13(X0),X0),
inference(forward_demodulation,[],[f52,f51]) ).
fof(f81,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ r2(X6,sK10(X7,X8))
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r2(X0,X1)
| ~ r2(X9,X6)
| ~ r1(X10)
| ~ r2(X10,X9)
| ~ r2(X1,sK9(X7,X8))
| ~ r2(X11,X7)
| ~ r1(X12)
| ~ r2(X12,X11) ),
inference(resolution,[],[f48,f77]) ).
fof(f82,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X5,sK9(X9,X7))
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r1(X4)
| ~ r2(X4,X3)
| ~ r2(X1,X5)
| ~ r2(X6,X7)
| ~ r1(X8)
| ~ r2(X8,X6)
| ~ r2(X0,X1)
| ~ r2(X10,X9)
| ~ r1(X11)
| ~ r2(X11,X10) ),
inference(resolution,[],[f81,f49]) ).
fof(f85,plain,
! [X0,X1] : sK3(X0,X1) = sK11(X0,X1),
inference(resolution,[],[f38,f45]) ).
fof(f86,plain,
! [X0,X1] : sK9(X0,X1) = sK3(X0,sK10(X0,X1)),
inference(resolution,[],[f38,f48]) ).
fof(f87,plain,
! [X0] : sK16(X0) = sK3(X0,sK15(X0)),
inference(resolution,[],[f38,f66]) ).
fof(f93,plain,
! [X0,X1] : sK9(X0,X1) = sK2(sK11(X0,X1),X0),
inference(resolution,[],[f34,f65]) ).
fof(f94,plain,
! [X0] : sK2(X0,sK13(X0)) = X0,
inference(resolution,[],[f34,f78]) ).
fof(f96,plain,
! [X0,X1] : sK2(X0,X1) = sK7(X0,X1),
inference(resolution,[],[f34,f40]) ).
fof(f97,plain,
! [X0,X1] : sK9(X0,X1) = sK2(sK3(X0,X1),X0),
inference(forward_demodulation,[],[f93,f85]) ).
fof(f100,plain,
! [X0] : sK9(X0,sK15(X0)) = sK2(sK16(X0),X0),
inference(superposition,[],[f97,f87]) ).
fof(f101,plain,
! [X0,X1] : sK9(X0,sK10(X0,X1)) = sK2(sK9(X0,X1),X0),
inference(superposition,[],[f97,f86]) ).
fof(f109,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X2,sK2(sK9(X0,X1),X0))
| ~ r2(X3,X4)
| ~ r2(X5,X3)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X7,X2)
| ~ r2(X8,sK10(X0,X1))
| ~ r1(X9)
| ~ r2(X9,X8)
| ~ r2(X4,X7)
| ~ r2(X10,X0)
| ~ r1(X11)
| ~ r2(X11,X10) ),
inference(superposition,[],[f82,f101]) ).
fof(f115,plain,
! [X0,X1] : sK5(X0,X1) = sK2(X0,sK6(X0,X1)),
inference(resolution,[],[f43,f34]) ).
fof(f118,plain,
! [X0] : sK0 = sK13(X0),
inference(resolution,[],[f26,f53]) ).
fof(f119,plain,
! [X0] : sK0 = sK15(X0),
inference(resolution,[],[f26,f57]) ).
fof(f120,plain,
! [X0] : sK0 = sK16(X0),
inference(resolution,[],[f26,f55]) ).
fof(f179,plain,
! [X0,X1] : sK1(X0) = sK10(X1,X0),
inference(resolution,[],[f30,f49]) ).
fof(f180,plain,
! [X0,X1] : sK1(X0) = sK6(X1,X0),
inference(resolution,[],[f30,f44]) ).
fof(f182,plain,
! [X0,X1] : sK5(X0,X1) = sK1(sK7(X0,X1)),
inference(resolution,[],[f30,f64]) ).
fof(f183,plain,
! [X0,X1] : sK5(X0,X1) = sK1(sK2(X0,X1)),
inference(forward_demodulation,[],[f182,f96]) ).
fof(f205,plain,
! [X0,X1] : sK5(X1,X0) = sK2(X1,sK1(X0)),
inference(superposition,[],[f115,f180]) ).
fof(f223,plain,
! [X0,X1] : sK5(X0,sK6(X0,X1)) = sK1(sK5(X0,X1)),
inference(superposition,[],[f183,f115]) ).
fof(f224,plain,
! [X0] : sK1(X0) = sK5(X0,sK13(X0)),
inference(superposition,[],[f183,f94]) ).
fof(f226,plain,
! [X0] : sK1(X0) = sK5(X0,sK0),
inference(forward_demodulation,[],[f224,f118]) ).
fof(f227,plain,
! [X0,X1] : sK1(sK5(X0,X1)) = sK5(X0,sK1(X1)),
inference(forward_demodulation,[],[f223,f180]) ).
fof(f299,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X2,sK5(sK9(sK1(X0),X1),X0))
| ~ r2(X3,X4)
| ~ r2(X5,X3)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X7,X2)
| ~ r2(X8,sK10(sK1(X0),X1))
| ~ r1(X9)
| ~ r2(X9,X8)
| ~ r2(X4,X7)
| ~ r2(X10,sK1(X0))
| ~ r1(X11)
| ~ r2(X11,X10) ),
inference(superposition,[],[f109,f205]) ).
fof(f302,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X2,sK5(sK9(sK1(X0),X1),X0))
| ~ r2(X8,sK1(X1))
| ~ r2(X3,X4)
| ~ r2(X5,X3)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X7,X2)
| ~ r1(X9)
| ~ r2(X9,X8)
| ~ r2(X4,X7)
| ~ r2(X10,sK1(X0))
| ~ r1(X11)
| ~ r2(X11,X10) ),
inference(forward_demodulation,[],[f299,f179]) ).
fof(f428,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X0,sK1(X1))
| ~ r2(X2,X3)
| ~ r2(X4,X2)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r2(X6,sK7(sK9(sK1(X7),X1),X7))
| ~ r1(X8)
| ~ r2(X8,X0)
| ~ r2(X3,X6)
| ~ r2(X9,sK1(X7))
| ~ r1(X10)
| ~ r2(X10,X9) ),
inference(resolution,[],[f302,f64]) ).
fof(f445,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X6,sK2(sK9(sK1(X7),X1),X7))
| ~ r2(X0,sK1(X1))
| ~ r2(X2,X3)
| ~ r2(X4,X2)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r1(X8)
| ~ r2(X8,X0)
| ~ r2(X3,X6)
| ~ r2(X9,sK1(X7))
| ~ r1(X10)
| ~ r2(X10,X9) ),
inference(forward_demodulation,[],[f428,f96]) ).
fof(f465,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X2,sK5(sK9(sK1(sK1(X0)),X1),X0))
| ~ r2(X3,sK1(X1))
| ~ r2(X4,X5)
| ~ r2(X6,X4)
| ~ r1(X7)
| ~ r2(X7,X6)
| ~ r1(X8)
| ~ r2(X8,X3)
| ~ r2(X5,X2)
| ~ r2(X9,sK1(sK1(X0)))
| ~ r1(X10)
| ~ r2(X10,X9) ),
inference(superposition,[],[f445,f205]) ).
fof(f479,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X1,sK1(sK9(sK1(sK1(sK0)),X0)))
| ~ r2(X2,sK1(X0))
| ~ r2(X3,X4)
| ~ r2(X5,X3)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X2)
| ~ r2(X4,X1)
| ~ r2(X8,sK1(sK1(sK0)))
| ~ r1(X9)
| ~ r2(X9,X8) ),
inference(superposition,[],[f465,f226]) ).
fof(f481,definition,
( spl20_11
<=> ! [X9,X8] :
( ~ r2(X8,sK1(sK1(sK0)))
| ~ r1(X9)
| ~ r2(X9,X8) ) ),
introduced(definition,[new_symbols(definition,[spl20_11])],[avatar_definition]) ).
fof(f482,plain,
( ! [X8,X9] :
( ~ r2(X8,sK1(sK1(sK0)))
| ~ r1(X9)
| ~ r2(X9,X8) )
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f484,definition,
( spl20_12
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ r2(X1,sK1(sK9(sK1(sK1(sK0)),X0)))
| ~ r1(X7)
| ~ r2(X7,X2)
| ~ r2(X3,X4)
| ~ r2(X4,X1)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X5,X3)
| ~ r2(X2,sK1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl20_12])],[avatar_definition]) ).
fof(f485,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X1,sK1(sK9(sK1(sK1(sK0)),X0)))
| ~ r1(X7)
| ~ r2(X7,X2)
| ~ r2(X3,X4)
| ~ r2(X4,X1)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X5,X3)
| ~ r2(X2,sK1(X0)) )
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( spl20_11
| spl20_12 ),
inference(avatar_split_clause,[],[f479,f484,f481]) ).
fof(f497,plain,
( ! [X0] :
( ~ r2(X0,sK1(sK0))
| ~ r1(X0) )
| ~ spl20_11 ),
inference(resolution,[],[f482,f69]) ).
fof(f498,plain,
( ~ r1(sK0)
| ~ spl20_11 ),
inference(resolution,[],[f497,f69]) ).
fof(f499,plain,
( $false
| ~ spl20_11 ),
inference(forward_subsumption_resolution,[],[f498,f67]) ).
fof(f500,plain,
~ spl20_11,
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X1,sK1(sK2(sK9(sK1(sK1(sK0)),X0),sK1(sK1(sK0)))))
| ~ r1(X2)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X1)
| ~ r1(X6)
| ~ r2(X6,X7)
| ~ r2(X7,X4)
| ~ r2(X3,sK1(sK10(sK1(sK1(sK0)),X0))) )
| ~ spl20_12 ),
inference(superposition,[],[f485,f101]) ).
fof(f505,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X1,sK5(sK9(sK1(sK1(sK0)),X0),sK1(sK1(sK0))))
| ~ r1(X2)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X1)
| ~ r1(X6)
| ~ r2(X6,X7)
| ~ r2(X7,X4)
| ~ r2(X3,sK1(sK10(sK1(sK1(sK0)),X0))) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f503,f183]) ).
fof(f507,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X1,sK1(sK5(sK9(sK1(sK1(sK0)),X0),sK1(sK0))))
| ~ r1(X2)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X1)
| ~ r1(X6)
| ~ r2(X6,X7)
| ~ r2(X7,X4)
| ~ r2(X3,sK1(sK10(sK1(sK1(sK0)),X0))) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f505,f227]) ).
fof(f509,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X1,sK1(sK1(sK5(sK9(sK1(sK1(sK0)),X0),sK0))))
| ~ r1(X2)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X1)
| ~ r1(X6)
| ~ r2(X6,X7)
| ~ r2(X7,X4)
| ~ r2(X3,sK1(sK10(sK1(sK1(sK0)),X0))) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f507,f227]) ).
fof(f511,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X1,sK1(sK1(sK1(sK9(sK1(sK1(sK0)),X0)))))
| ~ r1(X2)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X1)
| ~ r1(X6)
| ~ r2(X6,X7)
| ~ r2(X7,X4)
| ~ r2(X3,sK1(sK10(sK1(sK1(sK0)),X0))) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f509,f226]) ).
fof(f513,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X1,sK1(sK1(sK1(sK9(sK1(sK1(sK0)),X0)))))
| ~ r2(X3,sK1(sK1(X0)))
| ~ r1(X2)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X1)
| ~ r1(X6)
| ~ r2(X6,X7)
| ~ r2(X7,X4) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f511,f179]) ).
fof(f784,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X0,sK1(sK1(sK1(sK2(sK16(sK1(sK1(sK0))),sK1(sK1(sK0)))))))
| ~ r2(X1,sK1(sK1(sK15(sK1(sK1(sK0))))))
| ~ r1(X2)
| ~ r2(X2,X1)
| ~ r2(X3,X4)
| ~ r2(X4,X0)
| ~ r1(X5)
| ~ r2(X5,X6)
| ~ r2(X6,X3) )
| ~ spl20_12 ),
inference(superposition,[],[f513,f100]) ).
fof(f789,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X0,sK1(sK1(sK5(sK16(sK1(sK1(sK0))),sK1(sK1(sK0))))))
| ~ r2(X1,sK1(sK1(sK15(sK1(sK1(sK0))))))
| ~ r1(X2)
| ~ r2(X2,X1)
| ~ r2(X3,X4)
| ~ r2(X4,X0)
| ~ r1(X5)
| ~ r2(X5,X6)
| ~ r2(X6,X3) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f784,f183]) ).
fof(f792,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X0,sK1(sK1(sK1(sK5(sK16(sK1(sK1(sK0))),sK1(sK0))))))
| ~ r2(X1,sK1(sK1(sK15(sK1(sK1(sK0))))))
| ~ r1(X2)
| ~ r2(X2,X1)
| ~ r2(X3,X4)
| ~ r2(X4,X0)
| ~ r1(X5)
| ~ r2(X5,X6)
| ~ r2(X6,X3) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f789,f227]) ).
fof(f795,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X0,sK1(sK1(sK1(sK1(sK5(sK16(sK1(sK1(sK0))),sK0))))))
| ~ r2(X1,sK1(sK1(sK15(sK1(sK1(sK0))))))
| ~ r1(X2)
| ~ r2(X2,X1)
| ~ r2(X3,X4)
| ~ r2(X4,X0)
| ~ r1(X5)
| ~ r2(X5,X6)
| ~ r2(X6,X3) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f792,f227]) ).
fof(f798,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X0,sK1(sK1(sK1(sK1(sK1(sK16(sK1(sK1(sK0)))))))))
| ~ r2(X1,sK1(sK1(sK15(sK1(sK1(sK0))))))
| ~ r1(X2)
| ~ r2(X2,X1)
| ~ r2(X3,X4)
| ~ r2(X4,X0)
| ~ r1(X5)
| ~ r2(X5,X6)
| ~ r2(X6,X3) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f795,f226]) ).
fof(f800,definition,
( spl20_21
<=> ! [X6,X4,X0,X5,X3] :
( ~ r2(X0,sK1(sK1(sK1(sK1(sK1(sK0))))))
| ~ r1(X5)
| ~ r2(X6,X3)
| ~ r2(X5,X6)
| ~ r2(X3,X4)
| ~ r2(X4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition]) ).
fof(f801,plain,
( ! [X3,X0,X6,X4,X5] :
( ~ r2(X0,sK1(sK1(sK1(sK1(sK1(sK0))))))
| ~ r1(X5)
| ~ r2(X6,X3)
| ~ r2(X5,X6)
| ~ r2(X3,X4)
| ~ r2(X4,X0) )
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f804,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X0,sK1(sK1(sK1(sK1(sK1(sK0))))))
| ~ r2(X1,sK1(sK1(sK15(sK1(sK1(sK0))))))
| ~ r1(X2)
| ~ r2(X2,X1)
| ~ r2(X3,X4)
| ~ r2(X4,X0)
| ~ r1(X5)
| ~ r2(X5,X6)
| ~ r2(X6,X3) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f798,f120]) ).
fof(f805,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X1,sK1(sK1(sK0)))
| ~ r2(X0,sK1(sK1(sK1(sK1(sK1(sK0))))))
| ~ r1(X2)
| ~ r2(X2,X1)
| ~ r2(X3,X4)
| ~ r2(X4,X0)
| ~ r1(X5)
| ~ r2(X5,X6)
| ~ r2(X6,X3) )
| ~ spl20_12 ),
inference(forward_demodulation,[],[f804,f119]) ).
fof(f806,plain,
( spl20_21
| spl20_11
| ~ spl20_12 ),
inference(avatar_split_clause,[],[f805,f484,f481,f800]) ).
fof(f807,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X3,sK1(sK1(sK1(sK1(sK0)))))
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r2(X2,X3)
| ~ r1(X0) )
| ~ spl20_21 ),
inference(resolution,[],[f801,f69]) ).
fof(f808,plain,
( ! [X2,X0,X1] :
( ~ r2(X1,sK1(sK1(sK1(sK0))))
| ~ r2(X2,X0)
| ~ r2(X0,X1)
| ~ r1(X2) )
| ~ spl20_21 ),
inference(resolution,[],[f807,f69]) ).
fof(f809,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| ~ r2(X1,sK1(sK1(sK0)))
| ~ r1(X0) )
| ~ spl20_21 ),
inference(resolution,[],[f808,f69]) ).
fof(f810,plain,
( spl20_11
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f809,f800,f481]) ).
cnf(s9,plain,
( spl20_11
| spl20_12 ),
inference(sat_conversion,[],[f486]) ).
cnf(s10,plain,
~ spl20_11,
inference(sat_conversion,[],[f500]) ).
cnf(s16,plain,
( spl20_11
| ~ spl20_12
| spl20_21 ),
inference(sat_conversion,[],[f806]) ).
cnf(s17,plain,
( spl20_11
| ~ spl20_21 ),
inference(sat_conversion,[],[f810]) ).
cnf(s18,plain,
~ spl20_21,
inference(rat,[],[s17,s10]) ).
cnf(s19,plain,
~ spl20_12,
inference(rat,[],[s16,s18,s10]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s9,s19,s10]) ).
fof(f811,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN077+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n010.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 21:59:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 6.36/2.01 % (1350763)Detected formulas, will run a generic FOF schedule.
% 6.36/2.01 % (1350772)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2371093414:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.36/2.01 % (1350772)Instruction limit reached!
% 6.36/2.01 % (1350772)------------------------------
% 6.36/2.01 % (1350772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350772)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350772)Termination reason: Instruction limit
% 6.36/2.01 % (1350772)Termination phase: Saturation
% 6.36/2.01 % (1350772)Time elapsed: 0.029 s
% 6.36/2.01 % (1350772)Peak memory usage: 88 MB
% 6.36/2.01 % (1350772)Instructions burned: 122 (million)
% 6.36/2.01 % (1350773)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1931480298:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.36/2.01 % (1350768)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=2149362042:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.36/2.01 % (1350771)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3866029017:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.36/2.01 % (1350770)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=3267479790:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.36/2.01 % (1350769)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=1148312985:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.36/2.01 % (1350771)Refutation not found, incomplete strategy
% 6.36/2.01 % (1350771)------------------------------
% 6.36/2.01 % (1350771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350771)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350771)Termination reason: Refutation not found, incomplete strategy
% 6.36/2.01 % (1350771)Time elapsed: 0.004 s
% 6.36/2.01 % (1350771)Peak memory usage: 88 MB
% 6.36/2.01 % (1350771)Instructions burned: 5 (million)
% 6.36/2.01 % (1350774)dis-21_1_sil=8000:lcm=predicate:random_seed=2323395422: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)
% 6.36/2.01 % (1350773)Instruction limit reached!
% 6.36/2.01 % (1350773)------------------------------
% 6.36/2.01 % (1350773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350773)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350773)Termination reason: Instruction limit
% 6.36/2.01 % (1350773)Termination phase: Saturation
% 6.36/2.01 % (1350773)Time elapsed: 0.030 s
% 6.36/2.01 % (1350773)Peak memory usage: 88 MB
% 6.36/2.01 % (1350773)Instructions burned: 143 (million)
% 6.36/2.01 % (1350774)Instruction limit reached!
% 6.36/2.01 % (1350774)------------------------------
% 6.36/2.01 % (1350774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350774)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350774)Termination reason: Instruction limit
% 6.36/2.01 % (1350774)Termination phase: Saturation
% 6.36/2.01 % (1350774)Time elapsed: 0.051 s
% 6.36/2.01 % (1350774)Peak memory usage: 88 MB
% 6.36/2.01 % (1350774)Instructions burned: 132 (million)
% 6.36/2.01 % (1350783)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4283326160:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 6.36/2.01 % (1350776)lrs+10_1_sil=8000:sp=occurrence:random_seed=3210509727:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.36/2.01 % (1350783)Instruction limit reached!
% 6.36/2.01 % (1350783)------------------------------
% 6.36/2.01 % (1350783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350783)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350783)Termination reason: Instruction limit
% 6.36/2.01 % (1350783)Termination phase: Saturation
% 6.36/2.01 % (1350783)Time elapsed: 0.042 s
% 6.36/2.01 % (1350783)Peak memory usage: 93 MB
% 6.36/2.01 % (1350783)Instructions burned: 161 (million)
% 6.36/2.01 % (1350784)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2784964534:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.36/2.01 % (1350787)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=1212490468:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.36/2.01 % (1350771)------------------------------
% 6.36/2.01 % (1350771)------------------------------
% 6.36/2.01 % (1350776)Instruction limit reached!
% 6.36/2.01 % (1350776)------------------------------
% 6.36/2.01 % (1350776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350776)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350776)Termination reason: Instruction limit
% 6.36/2.01 % (1350776)Termination phase: Saturation
% 6.36/2.01 % (1350776)Time elapsed: 0.161 s
% 6.36/2.01 % (1350776)Peak memory usage: 91 MB
% 6.36/2.01 % (1350776)Instructions burned: 286 (million)
% 6.36/2.01 % (1350787)Instruction limit reached!
% 6.36/2.01 % (1350787)------------------------------
% 6.36/2.01 % (1350787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350787)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350787)Termination reason: Instruction limit
% 6.36/2.01 % (1350787)Termination phase: Saturation
% 6.36/2.01 % (1350787)Time elapsed: 0.064 s
% 6.36/2.01 % (1350787)Peak memory usage: 91 MB
% 6.36/2.01 % (1350787)Instructions burned: 251 (million)
% 6.36/2.01 % (1350784)Instruction limit reached!
% 6.36/2.01 % (1350784)------------------------------
% 6.36/2.01 % (1350784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350784)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350784)Termination reason: Instruction limit
% 6.36/2.01 % (1350784)Termination phase: Saturation
% 6.36/2.01 % (1350784)Time elapsed: 0.166 s
% 6.36/2.01 % (1350784)Peak memory usage: 91 MB
% 6.36/2.01 % (1350784)Instructions burned: 326 (million)
% 6.36/2.01 % (1350790)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3104150374:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.36/2.01 % (1350790)Refutation not found, incomplete strategy
% 6.36/2.01 % (1350790)------------------------------
% 6.36/2.01 % (1350790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350790)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350790)Termination reason: Refutation not found, incomplete strategy
% 6.36/2.01 % (1350790)Time elapsed: 0.003 s
% 6.36/2.01 % (1350790)Peak memory usage: 88 MB
% 6.36/2.01 % (1350790)Instructions burned: 2 (million)
% 6.36/2.01 % (1350792)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=560749025:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.36/2.01 % (1350792)Refutation not found, incomplete strategy
% 6.36/2.01 % (1350792)------------------------------
% 6.36/2.01 % (1350792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350792)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350792)Termination reason: Refutation not found, incomplete strategy
% 6.36/2.01 % (1350792)Time elapsed: 0.003 s
% 6.36/2.01 % (1350792)Peak memory usage: 88 MB
% 6.36/2.01 % (1350792)Instructions burned: 9 (million)
% 6.36/2.01 % (1350791)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=247571035:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.36/2.01 % (1350793)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3437313848:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.36/2.01 % (1350792)------------------------------
% 6.36/2.01 % (1350792)------------------------------
% 6.36/2.01 % (1350793)Instruction limit reached!
% 6.36/2.01 % (1350793)------------------------------
% 6.36/2.01 % (1350793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350793)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350793)Termination reason: Instruction limit
% 6.36/2.01 % (1350793)Termination phase: Saturation
% 6.36/2.01 % (1350793)Time elapsed: 0.066 s
% 6.36/2.01 % (1350793)Peak memory usage: 88 MB
% 6.36/2.01 % (1350793)Instructions burned: 128 (million)
% 6.36/2.01 % (1350790)------------------------------
% 6.36/2.01 % (1350790)------------------------------
% 6.36/2.01 % (1350798)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2184915405:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.36/2.01 % (1350770)Refutation not found, incomplete strategy
% 6.36/2.01 % (1350770)------------------------------
% 6.36/2.01 % (1350770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350770)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350770)Termination reason: Refutation not found, incomplete strategy
% 6.36/2.01 % (1350770)Time elapsed: 0.650 s
% 6.36/2.01 % (1350770)Peak memory usage: 128 MB
% 6.36/2.01 % (1350770)Instructions burned: 950 (million)
% 6.36/2.01 % (1350798)Instruction limit reached!
% 6.36/2.01 % (1350798)------------------------------
% 6.36/2.01 % (1350798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350798)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350798)Termination reason: Instruction limit
% 6.36/2.01 % (1350798)Termination phase: Saturation
% 6.36/2.01 % (1350798)Time elapsed: 0.035 s
% 6.36/2.01 % (1350798)Peak memory usage: 89 MB
% 6.36/2.01 % (1350798)Instructions burned: 114 (million)
% 6.36/2.01 % (1350799)lrs+10_1_sil=8000:sp=occurrence:random_seed=2661742068:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.36/2.01 % (1350768)First to succeed.
% 6.36/2.01 % (1350768)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1350763"
% 6.36/2.01 % (1350800)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3982602833:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.36/2.01 % (1350802)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3575841826:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.36/2.01 % (1350769)Also succeeded, but the first one will report.
% 6.36/2.01 % (1350770)------------------------------
% 6.36/2.01 % (1350770)------------------------------
% 6.36/2.01 % (1350800)Instruction limit reached!
% 6.36/2.01 % (1350800)------------------------------
% 6.36/2.01 % (1350800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.01 % (1350800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.01 % (1350800)CaDiCaL version: 2.1.3
% 6.36/2.01 % (1350800)Termination reason: Instruction limit
% 6.36/2.01 % (1350800)Termination phase: Saturation
% 6.36/2.01 % (1350800)Time elapsed: 0.173 s
% 6.36/2.01 % (1350800)Peak memory usage: 88 MB
% 6.36/2.01 % (1350800)Instructions burned: 438 (million)
% 6.36/2.01 % (1350768)Refutation found. Thanks to Tanya!
% 6.36/2.01 % SZS status Theorem for theBenchmark
% 6.36/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.20 % (1350768)------------------------------
% 0.18/2.20 % (1350768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.20 % (1350768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.20 % (1350768)CaDiCaL version: 2.1.3
% 0.18/2.20 % (1350768)Termination reason: Refutation
% 0.18/2.20 % (1350768)Time elapsed: 0.735 s
% 0.18/2.20 % (1350768)Peak memory usage: 129 MB
% 0.18/2.20 % (1350768)Instructions burned: 1083 (million)
% 0.18/2.20 % (1350768)------------------------------
% 0.18/2.20 % (1350768)------------------------------
% 0.18/2.20 % (1350763)Success in time 1.141 s
% 0.18/2.20 % Vampire exiting
%------------------------------------------------------------------------------