%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM463+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 7.18s 2.11s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 99 ( 18 unt; 6 def)
% Number of atoms : 318 ( 64 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 395 ( 176 ~; 170 |; 31 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
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(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__987) ).
fof(f28,conjecture,
( xm != sz00
=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f29,negated_conjecture,
~ ( xm != sz00
=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f31,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& xm != sz00 ),
inference(ennf_transformation,[],[f29]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f32]) ).
fof(f36,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f37,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f39,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f38]) ).
fof(f42,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f55,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f65,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f66,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f70,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f75,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f27]) ).
fof(f76,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f77,plain,
sz00 != xm,
inference(cnf_transformation,[],[f31]) ).
fof(f78,plain,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f31]) ).
fof(f81,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f89,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f91,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f104,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f112,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f114,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f115,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f118,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f125,plain,
! [X0] :
( ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[],[f78,f89]) ).
fof(f132,plain,
! [X0] :
( ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f125,f75]) ).
fof(f136,definition,
( spl1_1
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f138,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl1_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f145,definition,
( spl1_3
<=> ! [X0] :
( ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f146,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f147,plain,
( ~ spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f132,f145,f136]) ).
fof(f148,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl1_1 ),
inference(resolution,[],[f138,f112]) ).
fof(f153,plain,
( ~ aNaturalNumber0(xm)
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f148,f75]) ).
fof(f156,plain,
( $false
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f153,f76]) ).
fof(f157,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f192,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtasdt0(xn,X0))
| ~ sdtlseqdt0(xn,sdtasdt0(xn,X0))
| sz00 = xn
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl1_3 ),
inference(resolution,[],[f146,f81]) ).
fof(f209,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtasdt0(xn,X0))
| ~ sdtlseqdt0(xn,sdtasdt0(xn,X0))
| sz00 = xn
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f192,f75]) ).
fof(f212,plain,
( ! [X0] :
( ~ aNaturalNumber0(sdtasdt0(xn,X0))
| ~ sdtlseqdt0(xn,sdtasdt0(xn,X0))
| sz00 = xn
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) )
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f209,f76]) ).
fof(f228,definition,
( spl1_10
<=> sz00 = xn ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f230,plain,
( sz00 = xn
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f232,definition,
( spl1_11
<=> ! [X0] :
( ~ aNaturalNumber0(sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| ~ sdtlseqdt0(xn,sdtasdt0(xn,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f233,plain,
( ! [X0] :
( ~ sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| xm = X0
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl1_10
| spl1_11
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f212,f145,f232,f228]) ).
fof(f244,plain,
( ~ sdtlseqdt0(sz00,sdtasdt0(sz00,xm))
| ~ spl1_10 ),
inference(superposition,[],[f78,f230]) ).
fof(f280,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(xm)
| ~ spl1_10 ),
inference(superposition,[],[f244,f104]) ).
fof(f281,plain,
( ~ sdtlseqdt0(sz00,sz00)
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f280,f76]) ).
fof(f306,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl1_10 ),
inference(resolution,[],[f281,f91]) ).
fof(f315,plain,
( $false
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f306,f114]) ).
fof(f316,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f396,plain,
( ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xm)
| sz10 = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn)
| ~ spl1_11 ),
inference(superposition,[],[f233,f120]) ).
fof(f397,plain,
( ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xm)
| sz10 = xm
| ~ aNaturalNumber0(xn)
| ~ spl1_11 ),
inference(duplicate_literal_removal,[],[f396]) ).
fof(f403,plain,
( ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xm)
| sz10 = xm
| ~ aNaturalNumber0(xn)
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f397,f87]) ).
fof(f405,plain,
( ~ sdtlseqdt0(sz10,xm)
| sz10 = xm
| ~ aNaturalNumber0(xn)
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f403,f118]) ).
fof(f406,plain,
( ~ sdtlseqdt0(sz10,xm)
| sz10 = xm
| ~ spl1_11 ),
inference(forward_subsumption_resolution,[],[f405,f75]) ).
fof(f408,definition,
( spl1_16
<=> sz10 = xm ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f409,plain,
( sz10 != xm
| spl1_16 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( sz10 = xm
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f412,definition,
( spl1_17
<=> sdtlseqdt0(sz10,xm) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f414,plain,
( ~ sdtlseqdt0(sz10,xm)
| spl1_17 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,plain,
( spl1_16
| ~ spl1_17
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f406,f232,f412,f408]) ).
fof(f435,plain,
( sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm)
| spl1_17 ),
inference(resolution,[],[f414,f115]) ).
fof(f440,plain,
( sz00 = xm
| ~ aNaturalNumber0(xm)
| spl1_16
| spl1_17 ),
inference(forward_subsumption_resolution,[],[f435,f409]) ).
fof(f443,plain,
( ~ aNaturalNumber0(xm)
| spl1_16
| spl1_17 ),
inference(forward_subsumption_resolution,[],[f440,f77]) ).
fof(f444,plain,
( $false
| spl1_16
| spl1_17 ),
inference(forward_subsumption_resolution,[],[f443,f76]) ).
fof(f445,plain,
( spl1_16
| spl1_17 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f448,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(xn,sz10))
| ~ spl1_16 ),
inference(superposition,[],[f78,f410]) ).
fof(f546,plain,
( ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(xn)
| ~ spl1_16 ),
inference(superposition,[],[f448,f120]) ).
fof(f549,plain,
( ~ aNaturalNumber0(xn)
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f546,f87]) ).
fof(f550,plain,
( $false
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f549,f75]) ).
fof(f551,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f550]) ).
cnf(s2,plain,
( ~ spl1_1
| spl1_3 ),
inference(sat_conversion,[],[f147]) ).
cnf(s3,plain,
spl1_1,
inference(sat_conversion,[],[f157]) ).
cnf(s10,plain,
( ~ spl1_3
| spl1_10
| spl1_11 ),
inference(sat_conversion,[],[f234]) ).
cnf(s12,plain,
~ spl1_10,
inference(sat_conversion,[],[f316]) ).
cnf(s15,plain,
( ~ spl1_11
| spl1_16
| ~ spl1_17 ),
inference(sat_conversion,[],[f415]) ).
cnf(s17,plain,
( spl1_16
| spl1_17 ),
inference(sat_conversion,[],[f445]) ).
cnf(s19,plain,
~ spl1_16,
inference(sat_conversion,[],[f551]) ).
cnf(s20,plain,
spl1_17,
inference(rat,[],[s17,s19]) ).
cnf(s21,plain,
~ spl1_11,
inference(rat,[],[s15,s20,s19]) ).
cnf(s22,plain,
~ spl1_3,
inference(rat,[],[s10,s21,s12]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s2,s22,s3]) ).
fof(f552,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM463+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 % Computer : n007.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 19:59:25 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.48 Running first-order theorem proving
% 0.14/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.18/2.11 % (1745675)Detected formulas, will run a generic FOF schedule.
% 7.18/2.11 % (1745690)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=1830128682:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.18/2.11 % (1745692)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2720098660:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.18/2.11 % (1745691)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2978642995:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.18/2.11 % (1745689)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=1071108738:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.18/2.11 % (1745688)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=3582761442:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.18/2.11 % (1745692)Instruction limit reached!
% 7.18/2.11 % (1745692)------------------------------
% 7.18/2.11 % (1745692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745692)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745692)Termination reason: Instruction limit
% 7.18/2.11 % (1745692)Termination phase: Saturation
% 7.18/2.11 % (1745692)Time elapsed: 0.077 s
% 7.18/2.11 % (1745692)Peak memory usage: 89 MB
% 7.18/2.11 % (1745692)Instructions burned: 120 (million)
% 7.18/2.11 % (1745693)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1030532234:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.18/2.11 % (1745694)dis-21_1_sil=8000:lcm=predicate:random_seed=233702500: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)
% 7.18/2.11 % (1745691)Instruction limit reached!
% 7.18/2.11 % (1745691)------------------------------
% 7.18/2.11 % (1745691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745691)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745691)Termination reason: Instruction limit
% 7.18/2.11 % (1745691)Termination phase: Saturation
% 7.18/2.11 % (1745691)Time elapsed: 0.112 s
% 7.18/2.11 % (1745691)Peak memory usage: 89 MB
% 7.18/2.11 % (1745691)Instructions burned: 109 (million)
% 7.18/2.11 % (1745694)Instruction limit reached!
% 7.18/2.11 % (1745694)------------------------------
% 7.18/2.11 % (1745694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745694)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745694)Termination reason: Instruction limit
% 7.18/2.11 % (1745694)Termination phase: Saturation
% 7.18/2.11 % (1745694)Time elapsed: 0.132 s
% 7.18/2.11 % (1745694)Peak memory usage: 91 MB
% 7.18/2.11 % (1745694)Instructions burned: 129 (million)
% 7.18/2.11 % (1745693)Instruction limit reached!
% 7.18/2.11 % (1745693)------------------------------
% 7.18/2.11 % (1745693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745693)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745693)Termination reason: Instruction limit
% 7.18/2.11 % (1745693)Termination phase: Saturation
% 7.18/2.11 % (1745693)Time elapsed: 0.137 s
% 7.18/2.11 % (1745693)Peak memory usage: 90 MB
% 7.18/2.11 % (1745693)Instructions burned: 139 (million)
% 7.18/2.11 % (1745703)lrs+10_1_sil=8000:sp=occurrence:random_seed=1186578061:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.18/2.11 % (1745705)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3383472192:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.18/2.11 % (1745707)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=3863017612:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.18/2.11 % (1745706)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3820939727:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.18/2.11 % (1745705)Instruction limit reached!
% 7.18/2.11 % (1745705)------------------------------
% 7.18/2.11 % (1745705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745705)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745705)Termination reason: Instruction limit
% 7.18/2.11 % (1745705)Termination phase: Saturation
% 7.18/2.11 % (1745705)Time elapsed: 0.091 s
% 7.18/2.11 % (1745705)Peak memory usage: 90 MB
% 7.18/2.11 % (1745705)Instructions burned: 158 (million)
% 7.18/2.11 % (1745703)Instruction limit reached!
% 7.18/2.11 % (1745703)------------------------------
% 7.18/2.11 % (1745703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745703)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745703)Termination reason: Instruction limit
% 7.18/2.11 % (1745703)Termination phase: Saturation
% 7.18/2.11 % (1745703)Time elapsed: 0.186 s
% 7.18/2.11 % (1745703)Peak memory usage: 91 MB
% 7.18/2.11 % (1745703)Instructions burned: 287 (million)
% 7.18/2.11 % (1745707)Instruction limit reached!
% 7.18/2.11 % (1745707)------------------------------
% 7.18/2.11 % (1745707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745707)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745707)Termination reason: Instruction limit
% 7.18/2.11 % (1745707)Termination phase: Saturation
% 7.18/2.11 % (1745707)Time elapsed: 0.117 s
% 7.18/2.11 % (1745707)Peak memory usage: 93 MB
% 7.18/2.11 % (1745707)Instructions burned: 250 (million)
% 7.18/2.11 % (1745713)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1485953453:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 7.18/2.11 % (1745706)Instruction limit reached!
% 7.18/2.11 % (1745706)------------------------------
% 7.18/2.11 % (1745706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745706)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745706)Termination reason: Instruction limit
% 7.18/2.11 % (1745706)Termination phase: Saturation
% 7.18/2.11 % (1745706)Time elapsed: 0.193 s
% 7.18/2.11 % (1745706)Peak memory usage: 92 MB
% 7.18/2.11 % (1745706)Instructions burned: 326 (million)
% 7.18/2.11 % (1745713)First to succeed.
% 7.18/2.11 % (1745713)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1745675"
% 7.18/2.11 % (1745714)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3512635304:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.18/2.11 % (1745715)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=241924850:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.18/2.11 % (1745715)Instruction limit reached!
% 7.18/2.11 % (1745715)------------------------------
% 7.18/2.11 % (1745715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745715)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745715)Termination reason: Instruction limit
% 7.18/2.11 % (1745715)Termination phase: Saturation
% 7.18/2.11 % (1745715)Time elapsed: 0.072 s
% 7.18/2.11 % (1745715)Peak memory usage: 90 MB
% 7.18/2.11 % (1745715)Instructions burned: 113 (million)
% 7.18/2.11 % (1745737)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1376139985:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.18/2.11 % (1745737)Instruction limit reached!
% 7.18/2.11 % (1745737)------------------------------
% 7.18/2.11 % (1745737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.11 % (1745737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.11 % (1745737)CaDiCaL version: 2.1.3
% 7.18/2.11 % (1745737)Termination reason: Instruction limit
% 7.18/2.11 % (1745737)Termination phase: Saturation
% 7.18/2.11 % (1745737)Time elapsed: 0.061 s
% 7.18/2.11 % (1745737)Peak memory usage: 89 MB
% 7.18/2.11 % (1745737)Instructions burned: 128 (million)
% 7.18/2.11 % (1745689)Also succeeded, but the first one will report.
% 7.18/2.11 % (1745688)Also succeeded, but the first one will report.
% 7.18/2.11 % (1745787)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1846809280:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.18/2.11 % (1745713)Refutation found. Thanks to Tanya!
% 7.18/2.11 % SZS status Theorem for theBenchmark
% 7.18/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/2.30 % (1745713)------------------------------
% 0.22/2.30 % (1745713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/2.30 % (1745713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/2.30 % (1745713)CaDiCaL version: 2.1.3
% 0.22/2.30 % (1745713)Termination reason: Refutation
% 0.22/2.30 % (1745713)Time elapsed: 0.014 s
% 0.22/2.30 % (1745713)Peak memory usage: 90 MB
% 0.22/2.30 % (1745713)Instructions burned: 20 (million)
% 0.22/2.30 % (1745713)------------------------------
% 0.22/2.30 % (1745713)------------------------------
% 0.22/2.30 % (1745675)Success in time 1.012 s
% 0.22/2.30 % Vampire exiting
%------------------------------------------------------------------------------