%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN086+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:26:47 PM UTC 2026
% Result : Theorem 2.49s 1.18s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 109 ( 38 unt; 2 def)
% Number of atoms : 260 ( 94 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 238 ( 87 ~; 101 |; 48 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 1 con; 0-2 aty)
% Number of variables : 165 ( 0 sgn 139 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X1 != X0 )
| ( r1(X1)
& X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X2 != X1 )
| ( r2(X0,X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_4) ).
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/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
fof(f8,axiom,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,X1) )
& X1 = X0 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_5a) ).
fof(f10,axiom,
! [X0] :
( ? [X1] :
( r1(X1)
& X0 = X1 )
| ? [X2,X3] :
( r2(X2,X3)
& X0 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6a) ).
fof(f11,axiom,
! [X0,X1] :
( ! [X2] :
( ~ r1(X2)
| X2 != X1 )
| ~ r2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
fof(f12,conjecture,
? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& ? [X3] :
( r1(X3)
& r4(X3,X1,X0) ) )
& ? [X4] :
( r1(X4)
& X0 = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerotimesoneeqzero) ).
fof(f13,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& ? [X3] :
( r1(X3)
& r4(X3,X1,X0) ) )
& ? [X4] :
( r1(X4)
& X0 = X4 ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ! [X3] :
( ~ r1(X3)
| ~ r4(X3,X1,X0) ) )
| ! [X4] :
( ~ r1(X4)
| X0 != X4 ) ),
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(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(f23,plain,
! [X0] :
( ( r1(sK17(X0))
& sK17(X0) = X0 )
| ( r2(sK18(X0),sK19(X0))
& sK19(X0) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X1,sK17(X0)),skolemize(X2,sK18(X0)),skolemize(X3,sK19(X0))],[f10]) ).
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(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(f58,plain,
! [X0] :
( sK17(X0) = X0
| sK19(X0) = X0 ),
inference(cnf_transformation,[],[f23]) ).
fof(f59,plain,
! [X0] :
( sK17(X0) = X0
| r2(sK18(X0),sK19(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f60,plain,
! [X0] :
( sK19(X0) = X0
| r1(sK17(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f61,plain,
! [X0] :
( r2(sK18(X0),sK19(X0))
| r1(sK17(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| X1 != X2
| ~ r2(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X2)
| ~ r2(X2,X1)
| ~ r1(X3)
| ~ r4(X3,X1,X0)
| ~ r1(X4)
| X0 != X4 ),
inference(cnf_transformation,[],[f14]) ).
fof(f64,plain,
r1(sK0),
inference(equality_resolution,[],[f25]) ).
fof(f66,plain,
! [X0] : r2(X0,sK1(X0)),
inference(equality_resolution,[],[f29]) ).
fof(f73,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f62]) ).
fof(f74,plain,
! [X2,X3,X1,X4] :
( ~ r1(X4)
| ~ r2(X2,X1)
| ~ r1(X3)
| ~ r4(X3,X1,X4)
| ~ r1(X2) ),
inference(equality_resolution,[],[f63]) ).
fof(f97,plain,
! [X0] : sK0 = sK13(X0),
inference(resolution,[],[f26,f53]) ).
fof(f98,plain,
! [X0] : sK0 = sK15(X0),
inference(resolution,[],[f26,f57]) ).
fof(f103,plain,
! [X0] : r1(sK14(X0)),
inference(superposition,[],[f55,f54]) ).
fof(f104,plain,
! [X0] : ~ r1(sK1(X0)),
inference(resolution,[],[f73,f66]) ).
fof(f107,plain,
! [X0] : r3(X0,sK13(X0),X0),
inference(forward_demodulation,[],[f52,f51]) ).
fof(f113,plain,
! [X0,X1] : sK1(X0) = sK10(X1,X0),
inference(resolution,[],[f30,f49]) ).
fof(f120,plain,
! [X0,X1] : r4(X0,sK10(X0,X1),sK8(X0,X1)),
inference(forward_demodulation,[],[f48,f47]) ).
fof(f121,plain,
! [X0] : sK0 = sK14(X0),
inference(resolution,[],[f103,f26]) ).
fof(f128,plain,
! [X0] :
( r2(sK18(X0),X0)
| r1(sK17(X0))
| r1(sK17(X0)) ),
inference(superposition,[],[f61,f60]) ).
fof(f129,plain,
! [X0] :
( r2(sK18(X0),X0)
| r1(sK17(X0)) ),
inference(duplicate_literal_removal,[],[f128]) ).
fof(f153,plain,
! [X0] : sK2(X0,sK13(X0)) = X0,
inference(resolution,[],[f34,f107]) ).
fof(f155,plain,
! [X0,X1] : sK8(X0,X1) = sK2(sK11(X0,X1),X0),
inference(resolution,[],[f34,f46]) ).
fof(f156,plain,
! [X0] : sK2(X0,sK0) = X0,
inference(forward_demodulation,[],[f153,f97]) ).
fof(f157,plain,
! [X0,X1] : sK3(X0,X1) = sK11(X0,X1),
inference(resolution,[],[f38,f45]) ).
fof(f159,plain,
! [X0] : sK14(X0) = sK3(X0,sK15(X0)),
inference(resolution,[],[f38,f56]) ).
fof(f161,plain,
! [X0] : sK14(X0) = sK3(X0,sK0),
inference(forward_demodulation,[],[f159,f98]) ).
fof(f194,plain,
! [X0,X1] : r4(X1,sK1(X0),sK8(X1,X0)),
inference(superposition,[],[f120,f113]) ).
fof(f200,plain,
! [X0] : sK0 = sK3(X0,sK0),
inference(forward_demodulation,[],[f161,f121]) ).
fof(f203,plain,
! [X0] :
( r1(sK17(X0))
| sK1(sK18(X0)) = X0 ),
inference(resolution,[],[f129,f30]) ).
fof(f280,plain,
! [X0,X1] : sK8(X0,X1) = sK2(sK3(X0,X1),X0),
inference(forward_demodulation,[],[f155,f157]) ).
fof(f289,plain,
! [X0] : sK8(X0,sK0) = sK2(sK0,X0),
inference(superposition,[],[f280,f200]) ).
fof(f346,plain,
! [X0] : r4(X0,sK1(sK0),sK2(sK0,X0)),
inference(superposition,[],[f194,f289]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( ~ r4(X3,X2,sK17(X0))
| ~ r2(X1,X2)
| ~ r1(X3)
| sK1(sK18(X0)) = X0
| ~ r1(X1) ),
inference(resolution,[],[f203,f74]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( ~ r2(X3,X2)
| ~ r4(X1,X2,X0)
| ~ r1(X1)
| sK1(sK18(X0)) = X0
| ~ r1(X3)
| r2(sK18(X0),sK19(X0)) ),
inference(superposition,[],[f370,f59]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ r2(X3,X2)
| ~ r4(X1,X2,X0)
| ~ r1(X1)
| sK1(sK18(X0)) = X0
| ~ r1(X3)
| sK19(X0) = X0 ),
inference(superposition,[],[f370,f58]) ).
fof(f539,plain,
! [X2,X0,X1] :
( ~ r4(X0,sK1(X1),X2)
| ~ r1(X0)
| sK1(sK18(X2)) = X2
| ~ r1(X1)
| sK19(X2) = X2 ),
inference(resolution,[],[f413,f66]) ).
fof(f550,plain,
! [X0] :
( ~ r1(X0)
| sK2(sK0,X0) = sK1(sK18(sK2(sK0,X0)))
| ~ r1(sK0)
| sK2(sK0,X0) = sK19(sK2(sK0,X0)) ),
inference(resolution,[],[f539,f346]) ).
fof(f557,plain,
! [X0] :
( ~ r1(X0)
| sK2(sK0,X0) = sK1(sK18(sK2(sK0,X0)))
| sK2(sK0,X0) = sK19(sK2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f550,f64]) ).
fof(f616,plain,
! [X0] :
( sK2(sK0,sK16(X0)) = sK1(sK18(sK2(sK0,sK16(X0))))
| sK2(sK0,sK16(X0)) = sK19(sK2(sK0,sK16(X0))) ),
inference(resolution,[],[f557,f55]) ).
fof(f623,plain,
! [X0] :
( sK2(sK0,sK14(X0)) = sK1(sK18(sK2(sK0,sK14(X0))))
| sK2(sK0,sK16(X0)) = sK19(sK2(sK0,sK16(X0))) ),
inference(forward_demodulation,[],[f616,f54]) ).
fof(f630,plain,
! [X0] :
( sK2(sK0,sK0) = sK1(sK18(sK2(sK0,sK0)))
| sK2(sK0,sK16(X0)) = sK19(sK2(sK0,sK16(X0))) ),
inference(forward_demodulation,[],[f623,f121]) ).
fof(f637,plain,
! [X0] :
( sK0 = sK1(sK18(sK0))
| sK2(sK0,sK16(X0)) = sK19(sK2(sK0,sK16(X0))) ),
inference(forward_demodulation,[],[f630,f156]) ).
fof(f642,definition,
( spl20_6
<=> sK0 = sK1(sK18(sK0)) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f643,plain,
( sK0 != sK1(sK18(sK0))
| spl20_6 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f644,plain,
( sK0 = sK1(sK18(sK0))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f646,definition,
( spl20_7
<=> sK0 = sK19(sK0) ),
introduced(definition,[new_symbols(definition,[spl20_7])],[avatar_definition]) ).
fof(f648,plain,
( sK0 = sK19(sK0)
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f652,plain,
! [X0] :
( sK2(sK0,sK14(X0)) = sK19(sK2(sK0,sK14(X0)))
| sK0 = sK1(sK18(sK0)) ),
inference(forward_demodulation,[],[f637,f54]) ).
fof(f658,plain,
( sK2(sK0,sK0) = sK19(sK2(sK0,sK0))
| sK0 = sK1(sK18(sK0)) ),
inference(forward_demodulation,[],[f652,f121]) ).
fof(f663,plain,
( sK0 = sK19(sK0)
| sK0 = sK1(sK18(sK0)) ),
inference(forward_demodulation,[],[f658,f156]) ).
fof(f665,plain,
( spl20_6
| spl20_7 ),
inference(avatar_split_clause,[],[f663,f646,f642]) ).
fof(f672,plain,
( ~ r1(sK0)
| ~ spl20_6 ),
inference(superposition,[],[f104,f644]) ).
fof(f699,plain,
( $false
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f672,f64]) ).
fof(f700,plain,
~ spl20_6,
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f728,plain,
! [X2,X0,X1] :
( ~ r4(X0,sK1(X1),X2)
| ~ r1(X0)
| sK1(sK18(X2)) = X2
| ~ r1(X1)
| r2(sK18(X2),sK19(X2)) ),
inference(resolution,[],[f412,f66]) ).
fof(f739,plain,
! [X0] :
( ~ r1(X0)
| sK2(sK0,X0) = sK1(sK18(sK2(sK0,X0)))
| ~ r1(sK0)
| r2(sK18(sK2(sK0,X0)),sK19(sK2(sK0,X0))) ),
inference(resolution,[],[f728,f346]) ).
fof(f746,plain,
! [X0] :
( ~ r1(X0)
| sK2(sK0,X0) = sK1(sK18(sK2(sK0,X0)))
| r2(sK18(sK2(sK0,X0)),sK19(sK2(sK0,X0))) ),
inference(forward_subsumption_resolution,[],[f739,f64]) ).
fof(f810,plain,
( sK2(sK0,sK0) = sK1(sK18(sK2(sK0,sK0)))
| r2(sK18(sK2(sK0,sK0)),sK19(sK2(sK0,sK0))) ),
inference(resolution,[],[f746,f64]) ).
fof(f825,plain,
( sK0 = sK1(sK18(sK0))
| r2(sK18(sK2(sK0,sK0)),sK19(sK2(sK0,sK0))) ),
inference(forward_demodulation,[],[f810,f156]) ).
fof(f832,plain,
( r2(sK18(sK2(sK0,sK0)),sK19(sK2(sK0,sK0)))
| spl20_6 ),
inference(forward_subsumption_resolution,[],[f825,f643]) ).
fof(f839,plain,
( r2(sK18(sK0),sK19(sK0))
| spl20_6 ),
inference(forward_demodulation,[],[f832,f156]) ).
fof(f846,plain,
( r2(sK18(sK0),sK0)
| spl20_6
| ~ spl20_7 ),
inference(forward_demodulation,[],[f839,f648]) ).
fof(f878,plain,
( sK0 = sK1(sK18(sK0))
| spl20_6
| ~ spl20_7 ),
inference(resolution,[],[f846,f30]) ).
fof(f888,plain,
( $false
| spl20_6
| ~ spl20_7 ),
inference(forward_subsumption_resolution,[],[f878,f643]) ).
fof(f889,plain,
( spl20_6
| ~ spl20_7 ),
inference(avatar_contradiction_clause,[],[f888]) ).
cnf(s17,plain,
( spl20_6
| spl20_7 ),
inference(sat_conversion,[],[f665]) ).
cnf(s19,plain,
~ spl20_6,
inference(sat_conversion,[],[f700]) ).
cnf(s22,plain,
( spl20_6
| ~ spl20_7 ),
inference(sat_conversion,[],[f889]) ).
cnf(s23,plain,
~ spl20_7,
inference(rat,[],[s22,s19]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s17,s23,s19]) ).
fof(f890,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN086+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 21:59:32 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 2.49/1.18 % (1351446)Detected formulas, will run a generic FOF schedule.
% 2.49/1.18 % (1351474)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3347490040:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.49/1.18 % (1351474)First to succeed.
% 2.49/1.18 % (1351474)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1351446"
% 2.49/1.18 % (1351472)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3902243617:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.49/1.18 % (1351473)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1210454851:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.49/1.18 % (1351471)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=2539696335:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.49/1.18 % (1351470)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=2407147271:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.49/1.18 % (1351469)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=1252082412:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.49/1.18 % (1351472)Refutation not found, incomplete strategy
% 2.49/1.18 % (1351472)------------------------------
% 2.49/1.18 % (1351472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.18 % (1351472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.18 % (1351472)CaDiCaL version: 2.1.3
% 2.49/1.18 % (1351472)Termination reason: Refutation not found, incomplete strategy
% 2.49/1.18 % (1351472)Time elapsed: 0.002 s
% 2.49/1.18 % (1351472)Peak memory usage: 88 MB
% 2.49/1.18 % (1351472)Instructions burned: 1 (million)
% 2.49/1.18 % (1351475)dis-21_1_sil=8000:lcm=predicate:random_seed=235731299: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)
% 2.49/1.18 % (1351475)Refutation not found, incomplete strategy
% 2.49/1.18 % (1351475)------------------------------
% 2.49/1.18 % (1351475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.18 % (1351475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.18 % (1351475)CaDiCaL version: 2.1.3
% 2.49/1.18 % (1351475)Termination reason: Refutation not found, incomplete strategy
% 2.49/1.18 % (1351475)Time elapsed: 0.003 s
% 2.49/1.18 % (1351475)Peak memory usage: 88 MB
% 2.49/1.18 % (1351475)Instructions burned: 2 (million)
% 2.49/1.18 % (1351473)Instruction limit reached!
% 2.49/1.18 % (1351473)------------------------------
% 2.49/1.18 % (1351473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.18 % (1351473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.18 % (1351473)CaDiCaL version: 2.1.3
% 2.49/1.18 % (1351473)Termination reason: Instruction limit
% 2.49/1.18 % (1351473)Termination phase: Saturation
% 2.49/1.18 % (1351473)Time elapsed: 0.074 s
% 2.49/1.18 % (1351473)Peak memory usage: 88 MB
% 2.49/1.18 % (1351473)Instructions burned: 120 (million)
% 2.49/1.18 % (1351474)Refutation found. Thanks to Tanya!
% 2.49/1.18 % SZS status Theorem for theBenchmark
% 2.49/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.84/1.37 % (1351474)------------------------------
% 2.84/1.37 % (1351474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.37 % (1351474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.37 % (1351474)CaDiCaL version: 2.1.3
% 2.84/1.37 % (1351474)Termination reason: Refutation
% 2.84/1.37 % (1351474)Time elapsed: 0.014 s
% 2.84/1.37 % (1351474)Peak memory usage: 90 MB
% 2.84/1.37 % (1351474)Instructions burned: 34 (million)
% 2.84/1.37 % (1351474)------------------------------
% 2.84/1.37 % (1351474)------------------------------
% 2.84/1.37 % (1351446)Success in time 0.323 s
% 2.84/1.37 % Vampire exiting
%------------------------------------------------------------------------------