%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM461+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:15:17 PM UTC 2026
% Result : Theorem 5.40s 1.73s
% Output : Refutation 6.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 21
% Syntax : Number of formulae : 159 ( 20 unt; 9 def)
% Number of atoms : 559 ( 62 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 767 ( 367 ~; 342 |; 35 &)
% ( 12 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 109 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f24,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__840) ).
fof(f25,axiom,
( xl != xn
& sdtlseqdt0(xl,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__840_03) ).
fof(f26,axiom,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__873) ).
fof(f27,conjecture,
( sdtpldt0(xm,xl) != sdtpldt0(xm,xn)
& sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
& sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f28,negated_conjecture,
~ ( sdtpldt0(xm,xl) != sdtpldt0(xm,xn)
& sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
& sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f30,plain,
( sdtpldt0(xm,xl) = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f31,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f32,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f34,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f35]) ).
fof(f38,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f39,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f38]) ).
fof(f46,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f47,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f46]) ).
fof(f56,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f57,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f59,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f58]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f63,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f62]) ).
fof(f65,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f39]) ).
fof(f66,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f66]) ).
fof(f68,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f24]) ).
fof(f69,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f24]) ).
fof(f70,plain,
sdtlseqdt0(xl,xn),
inference(cnf_transformation,[],[f25]) ).
fof(f71,plain,
xl != xn,
inference(cnf_transformation,[],[f25]) ).
fof(f72,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f26]) ).
fof(f73,plain,
( sdtpldt0(xm,xl) = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f75,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| X0 != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f76,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f77,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f79,plain,
! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f80,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f81,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f88,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f97,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f98,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f100,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f106,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f75]) ).
fof(f107,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f81]) ).
fof(f108,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f110,definition,
( spl1_1
<=> sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f111,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| spl1_1 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f114,definition,
( spl1_2
<=> sdtpldt0(xl,xm) = sdtpldt0(xn,xm) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f116,plain,
( sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl1_3
<=> sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f119,plain,
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| spl1_3 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,definition,
( spl1_4
<=> sdtpldt0(xm,xl) = sdtpldt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f123,plain,
( sdtpldt0(xm,xl) != sdtpldt0(xm,xn)
| spl1_4 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( sdtpldt0(xm,xl) = sdtpldt0(xm,xn)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f73,f122,f118,f114,f110]) ).
fof(f131,plain,
( ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl1_1 ),
inference(superposition,[],[f112,f98]) ).
fof(f132,plain,
( ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f131,f68]) ).
fof(f145,definition,
( spl1_7
<=> sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xl,xm)) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f146,plain,
( ~ sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xl,xm))
| spl1_7 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f147,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xl,xm))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f153,plain,
( ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn))
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f132,f72]) ).
fof(f173,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xm,xl),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) )
| spl1_3 ),
inference(resolution,[],[f120,f76]) ).
fof(f176,definition,
( spl1_9
<=> aNaturalNumber0(sdtpldt0(xm,xl)) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f177,plain,
( aNaturalNumber0(sdtpldt0(xm,xl))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xl))
| spl1_9 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl1_10
<=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f181,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f182,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl1_10 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl1_11
<=> sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xl)) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f185,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xl))
| spl1_11 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f186,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xl))
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f189,definition,
( spl1_12
<=> ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xm,xl),X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f190,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xm,xl),X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( ~ spl1_10
| ~ spl1_9
| spl1_12
| spl1_3 ),
inference(avatar_split_clause,[],[f173,f118,f189,f176,f180]) ).
fof(f202,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| spl1_9 ),
inference(resolution,[],[f178,f100]) ).
fof(f203,plain,
( ~ aNaturalNumber0(xl)
| spl1_9 ),
inference(forward_subsumption_resolution,[],[f202,f72]) ).
fof(f204,plain,
( $false
| spl1_9 ),
inference(forward_subsumption_resolution,[],[f203,f69]) ).
fof(f205,plain,
spl1_9,
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f210,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl1_10 ),
inference(resolution,[],[f182,f100]) ).
fof(f211,plain,
( ~ aNaturalNumber0(xn)
| spl1_10 ),
inference(forward_subsumption_resolution,[],[f210,f72]) ).
fof(f212,plain,
( $false
| spl1_10 ),
inference(forward_subsumption_resolution,[],[f211,f68]) ).
fof(f213,plain,
spl1_10,
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f217,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ spl1_7 ),
inference(superposition,[],[f147,f98]) ).
fof(f222,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f217,f68]) ).
fof(f226,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xl,xm))
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f222,f72]) ).
fof(f230,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| spl1_1 ),
inference(superposition,[],[f153,f98]) ).
fof(f233,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| spl1_1
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f230,f119]) ).
fof(f236,plain,
( ~ aNaturalNumber0(xl)
| spl1_1
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f233,f72]) ).
fof(f240,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f236,f69]) ).
fof(f241,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f250,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| sdtpldt0(xm,xl) = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl1_11 ),
inference(resolution,[],[f186,f77]) ).
fof(f270,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ spl1_7 ),
inference(superposition,[],[f226,f98]) ).
fof(f276,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xl),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xl),X0),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xl),X0)) )
| ~ spl1_12 ),
inference(resolution,[],[f190,f107]) ).
fof(f277,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xl),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xl),X0),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) )
| ~ spl1_12 ),
inference(duplicate_literal_removal,[],[f276]) ).
fof(f282,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xl),X0),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xl),X0))
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f277,f177]) ).
fof(f399,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,X0)),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,X0)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_12 ),
inference(superposition,[],[f282,f97]) ).
fof(f408,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,X0)),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,X0)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) )
| ~ spl1_9
| ~ spl1_12 ),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f413,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,X0)),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,X0)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) )
| ~ spl1_9
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f408,f72]) ).
fof(f416,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,X0)),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f413,f69]) ).
fof(f771,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,X0))
| ~ aNaturalNumber0(sK0(xl,X0))
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_12 ),
inference(superposition,[],[f416,f79]) ).
fof(f781,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,X0))
| ~ aNaturalNumber0(sK0(xl,X0))
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl1_9
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f771,f69]) ).
fof(f1933,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK0(xl,xn))
| ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl1_9
| ~ spl1_12 ),
inference(resolution,[],[f781,f108]) ).
fof(f1946,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK0(xl,xn))
| ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ spl1_9
| ~ spl1_12 ),
inference(duplicate_literal_removal,[],[f1933]) ).
fof(f1956,plain,
( ~ aNaturalNumber0(sK0(xl,xn))
| ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xn)
| ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f1946,f181]) ).
fof(f1959,plain,
( ~ aNaturalNumber0(sK0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f1956,f70]) ).
fof(f1974,plain,
( ~ aNaturalNumber0(sK0(xl,xn))
| ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f1959,f68]) ).
fof(f2194,plain,
( ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(resolution,[],[f1974,f80]) ).
fof(f2195,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f2194,f70]) ).
fof(f2196,plain,
( ~ aNaturalNumber0(xn)
| ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f2195,f69]) ).
fof(f2197,plain,
( $false
| ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(forward_subsumption_resolution,[],[f2196,f68]) ).
fof(f2198,plain,
( ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(avatar_contradiction_clause,[],[f2197]) ).
fof(f2203,plain,
( sdtpldt0(xm,xl) = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl1_3
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f250,f119]) ).
fof(f2257,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl1_3
| spl1_4
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f2203,f123]) ).
fof(f2312,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl1_3
| spl1_4
| ~ spl1_9
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f2257,f177]) ).
fof(f2353,plain,
( $false
| ~ spl1_3
| spl1_4
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f2312,f181]) ).
fof(f2354,plain,
( ~ spl1_3
| spl1_4
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f2353]) ).
fof(f2404,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ spl1_7
| spl1_11 ),
inference(forward_subsumption_resolution,[],[f270,f185]) ).
fof(f2421,plain,
( ~ aNaturalNumber0(xl)
| ~ spl1_7
| spl1_11 ),
inference(forward_subsumption_resolution,[],[f2404,f72]) ).
fof(f2438,plain,
( $false
| ~ spl1_7
| spl1_11 ),
inference(forward_subsumption_resolution,[],[f2421,f69]) ).
fof(f2439,plain,
( ~ spl1_7
| spl1_11 ),
inference(avatar_contradiction_clause,[],[f2438]) ).
fof(f2478,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))
| ~ spl1_1
| ~ spl1_2 ),
inference(superposition,[],[f111,f116]) ).
fof(f2582,plain,
( ! [X0] :
( sdtpldt0(xm,xl) != sdtpldt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl1_4 ),
inference(superposition,[],[f88,f124]) ).
fof(f2591,plain,
( ! [X0] :
( sdtpldt0(xm,xl) != sdtpldt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) )
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f2582,f72]) ).
fof(f2598,plain,
( ! [X0] :
( sdtpldt0(xm,xl) != sdtpldt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(X0) )
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f2591,f68]) ).
fof(f2635,plain,
( xl = xn
| ~ aNaturalNumber0(xl)
| ~ spl1_4 ),
inference(equality_resolution,[],[f2598]) ).
fof(f2638,plain,
( ~ aNaturalNumber0(xl)
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f2635,f71]) ).
fof(f2640,plain,
( $false
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f2638,f69]) ).
fof(f2641,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f2640]) ).
fof(f2673,plain,
( ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))
| ~ spl1_2
| spl1_7 ),
inference(forward_demodulation,[],[f146,f116]) ).
fof(f2675,plain,
( $false
| ~ spl1_1
| ~ spl1_2
| spl1_7 ),
inference(forward_subsumption_resolution,[],[f2673,f2478]) ).
fof(f2676,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_7 ),
inference(avatar_contradiction_clause,[],[f2675]) ).
cnf(s1,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
( spl1_3
| ~ spl1_9
| ~ spl1_10
| spl1_12 ),
inference(sat_conversion,[],[f191]) ).
cnf(s8,plain,
spl1_9,
inference(sat_conversion,[],[f205]) ).
cnf(s9,plain,
spl1_10,
inference(sat_conversion,[],[f213]) ).
cnf(s11,plain,
( spl1_1
| ~ spl1_3 ),
inference(sat_conversion,[],[f241]) ).
cnf(s23,plain,
( ~ spl1_9
| ~ spl1_10
| ~ spl1_12 ),
inference(sat_conversion,[],[f2198]) ).
cnf(s30,plain,
( ~ spl1_3
| spl1_4
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(sat_conversion,[],[f2354]) ).
cnf(s43,plain,
( ~ spl1_7
| spl1_11 ),
inference(sat_conversion,[],[f2439]) ).
cnf(s48,plain,
~ spl1_4,
inference(sat_conversion,[],[f2641]) ).
cnf(s57,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_7 ),
inference(sat_conversion,[],[f2676]) ).
cnf(s58,plain,
( ~ spl1_3
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(rat,[],[s30,s48]) ).
cnf(s60,plain,
~ spl1_12,
inference(rat,[],[s23,s9,s8]) ).
cnf(s63,plain,
spl1_3,
inference(rat,[],[s6,s60,s9,s8]) ).
cnf(s64,plain,
~ spl1_11,
inference(rat,[],[s58,s8,s9,s63]) ).
cnf(s65,plain,
spl1_1,
inference(rat,[],[s11,s63]) ).
cnf(s66,plain,
~ spl1_7,
inference(rat,[],[s43,s64]) ).
cnf(s67,plain,
~ spl1_2,
inference(rat,[],[s57,s66,s65]) ).
cnf(s70,plain,
$false,
inference(rat,[],[s1,s48,s63,s67,s65]) ).
fof(f2677,plain,
$false,
inference(avatar_sat_refutation,[],[s70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM461+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.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 19:59:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 5.40/1.72 % (1744978)Detected formulas, will run a generic FOF schedule.
% 5.40/1.72 % (1744985)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=2768633392:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.40/1.72 % (1744986)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2967619124:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.40/1.72 % (1744987)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=520926762:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.40/1.72 % (1744989)dis-21_1_sil=8000:lcm=predicate:random_seed=469147465: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)
% 5.40/1.72 % (1744983)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=2869536455:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.40/1.72 % (1744984)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=4060048474:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.40/1.72 % (1744988)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2418551674:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.40/1.72 % (1744987)Instruction limit reached!
% 5.40/1.72 % (1744987)------------------------------
% 5.40/1.72 % (1744987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.72 % (1744987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.72 % (1744987)CaDiCaL version: 2.1.3
% 5.40/1.72 % (1744987)Termination reason: Instruction limit
% 5.40/1.72 % (1744987)Termination phase: Saturation
% 5.40/1.72 % (1744987)Time elapsed: 0.068 s
% 5.40/1.72 % (1744987)Peak memory usage: 88 MB
% 5.40/1.72 % (1744987)Instructions burned: 121 (million)
% 5.40/1.72 % (1744986)Instruction limit reached!
% 5.40/1.72 % (1744986)------------------------------
% 5.40/1.72 % (1744986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.72 % (1744986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.72 % (1744986)CaDiCaL version: 2.1.3
% 5.40/1.72 % (1744986)Termination reason: Instruction limit
% 5.40/1.72 % (1744986)Termination phase: Saturation
% 5.40/1.72 % (1744986)Time elapsed: 0.072 s
% 5.40/1.72 % (1744986)Peak memory usage: 89 MB
% 5.40/1.72 % (1744986)Instructions burned: 110 (million)
% 5.40/1.72 % (1744989)Instruction limit reached!
% 5.40/1.72 % (1744989)------------------------------
% 5.40/1.72 % (1744989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.72 % (1744989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.72 % (1744989)CaDiCaL version: 2.1.3
% 5.40/1.72 % (1744989)Termination reason: Instruction limit
% 5.40/1.72 % (1744989)Termination phase: Saturation
% 5.40/1.72 % (1744989)Time elapsed: 0.079 s
% 5.40/1.72 % (1744989)Peak memory usage: 90 MB
% 5.40/1.72 % (1744989)Instructions burned: 130 (million)
% 5.40/1.72 % (1744988)Instruction limit reached!
% 5.40/1.72 % (1744988)------------------------------
% 5.40/1.72 % (1744988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.72 % (1744988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.72 % (1744988)CaDiCaL version: 2.1.3
% 5.40/1.72 % (1744988)Termination reason: Instruction limit
% 5.40/1.72 % (1744988)Termination phase: Saturation
% 5.40/1.72 % (1744988)Time elapsed: 0.086 s
% 5.40/1.72 % (1744988)Peak memory usage: 89 MB
% 5.40/1.72 % (1744988)Instructions burned: 139 (million)
% 5.40/1.72 % (1744998)lrs+10_1_sil=32000:urr=on:br=off:random_seed=812351732:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.40/1.72 % (1744997)lrs+10_1_sil=8000:sp=occurrence:random_seed=4012865529:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.40/1.72 % (1744999)lrs+1011_1_sil=32000:sp=occurrence:random_seed=718145938:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.40/1.72 % (1745000)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=3106172783:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.40/1.72 % (1744998)Instruction limit reached!
% 5.40/1.72 % (1744998)------------------------------
% 5.40/1.72 % (1744998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.72 % (1744998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.72 % (1744998)CaDiCaL version: 2.1.3
% 5.40/1.72 % (1744998)Termination reason: Instruction limit
% 5.40/1.72 % (1744998)Termination phase: Saturation
% 5.40/1.72 % (1744998)Time elapsed: 0.070 s
% 5.40/1.72 % (1744998)Peak memory usage: 90 MB
% 5.40/1.72 % (1744998)Instructions burned: 159 (million)
% 5.40/1.72 % (1745000)Instruction limit reached!
% 5.40/1.72 % (1745000)------------------------------
% 5.40/1.72 % (1745000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.72 % (1745000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.72 % (1745000)CaDiCaL version: 2.1.3
% 5.40/1.72 % (1745000)Termination reason: Instruction limit
% 5.40/1.72 % (1745000)Termination phase: Saturation
% 5.40/1.72 % (1745000)Time elapsed: 0.119 s
% 5.40/1.72 % (1745000)Peak memory usage: 93 MB
% 5.40/1.72 % (1745000)Instructions burned: 248 (million)
% 5.40/1.72 % (1744997)Instruction limit reached!
% 5.40/1.73 % (1744997)------------------------------
% 5.40/1.73 % (1744997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.73 % (1744997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.73 % (1744997)CaDiCaL version: 2.1.3
% 5.40/1.73 % (1744997)Termination reason: Instruction limit
% 5.40/1.73 % (1744997)Termination phase: Saturation
% 5.40/1.73 % (1744997)Time elapsed: 0.163 s
% 5.40/1.73 % (1744997)Peak memory usage: 92 MB
% 5.40/1.73 % (1744997)Instructions burned: 286 (million)
% 5.40/1.73 % (1744999)Instruction limit reached!
% 5.40/1.73 % (1744999)------------------------------
% 5.40/1.73 % (1744999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.73 % (1744999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.73 % (1744999)CaDiCaL version: 2.1.3
% 5.40/1.73 % (1744999)Termination reason: Instruction limit
% 5.40/1.73 % (1744999)Termination phase: Saturation
% 5.40/1.73 % (1744999)Time elapsed: 0.182 s
% 5.40/1.73 % (1744999)Peak memory usage: 93 MB
% 5.40/1.73 % (1744999)Instructions burned: 326 (million)
% 5.40/1.73 % (1745005)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4099048411:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.40/1.73 % (1745005)First to succeed.
% 5.40/1.73 % (1745005)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1744978"
% 5.40/1.73 % (1745006)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=275339363:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.40/1.73 % (1745007)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2170617460:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.40/1.73 % (1744985)Also succeeded, but the first one will report.
% 5.40/1.73 % (1745009)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=757697727:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.40/1.73 % (1745007)Instruction limit reached!
% 5.40/1.73 % (1745007)------------------------------
% 5.40/1.73 % (1745007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.73 % (1745007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.73 % (1745007)CaDiCaL version: 2.1.3
% 5.40/1.73 % (1745007)Termination reason: Instruction limit
% 5.40/1.73 % (1745007)Termination phase: Saturation
% 5.40/1.73 % (1745007)Time elapsed: 0.077 s
% 5.40/1.73 % (1745007)Peak memory usage: 90 MB
% 5.40/1.73 % (1745007)Instructions burned: 114 (million)
% 5.40/1.73 % (1745009)Instruction limit reached!
% 5.40/1.73 % (1745009)------------------------------
% 5.40/1.73 % (1745009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.73 % (1745009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.73 % (1745009)CaDiCaL version: 2.1.3
% 5.40/1.73 % (1745009)Termination reason: Instruction limit
% 5.40/1.73 % (1745009)Termination phase: Saturation
% 5.40/1.73 % (1745009)Time elapsed: 0.063 s
% 5.40/1.73 % (1745009)Peak memory usage: 89 MB
% 5.40/1.73 % (1745009)Instructions burned: 128 (million)
% 5.40/1.73 % (1745005)Refutation found. Thanks to Tanya!
% 5.40/1.73 % SZS status Theorem for theBenchmark
% 5.40/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 6.65/1.82 % (1745005)------------------------------
% 6.65/1.82 % (1745005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.82 % (1745005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.82 % (1745005)CaDiCaL version: 2.1.3
% 6.65/1.82 % (1745005)Termination reason: Refutation
% 6.65/1.82 % (1745005)Time elapsed: 0.058 s
% 6.65/1.82 % (1745005)Peak memory usage: 90 MB
% 6.65/1.82 % (1745005)Instructions burned: 94 (million)
% 6.65/1.82 % (1745005)------------------------------
% 6.65/1.82 % (1745005)------------------------------
% 6.65/1.82 % (1744978)Success in time 0.865 s
% 6.65/1.82 % Vampire exiting
%------------------------------------------------------------------------------