%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG067+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:35:55 PM UTC 2026
% Result : Theorem 0.39s 0.52s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 105 ( 29 unt; 8 def)
% Number of atoms : 265 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 259 ( 99 ~; 138 |; 10 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2004) ).
fof(f58,axiom,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2104) ).
fof(f59,conjecture,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f61,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(flattening,[],[f60]) ).
fof(f72,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f73,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f74]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f95]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f200,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f202,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f204,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f206,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f208,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f209,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f58]) ).
fof(f210,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(cnf_transformation,[],[f61]) ).
fof(f222,plain,
! [X0,X1] :
( ~ aScalar0(sdtpldt0(X0,X1))
| aScalar0(X0)
| aScalar0(X1) ),
inference(consistent_polarity_flipping,[],[f131]) ).
fof(f223,plain,
! [X0,X1] :
( ~ aScalar0(sdtasdt0(X0,X1))
| aScalar0(X0)
| aScalar0(X1) ),
inference(consistent_polarity_flipping,[],[f132]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| aScalar0(X2)
| aScalar0(X1)
| aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| aScalar0(X3) ),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f278,plain,
~ aScalar0(xR),
inference(consistent_polarity_flipping,[],[f200]) ).
fof(f279,plain,
~ aScalar0(xP),
inference(consistent_polarity_flipping,[],[f202]) ).
fof(f280,plain,
~ aScalar0(xS),
inference(consistent_polarity_flipping,[],[f204]) ).
fof(f281,plain,
~ aScalar0(xN),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f648,definition,
( spl2_8
<=> aScalar0(sdtasdt0(xS,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f649,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| spl2_8 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f650,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f652,definition,
( spl2_9
<=> aScalar0(sdtasdt0(xR,xR)) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f654,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f693,plain,
( aScalar0(xS)
| aScalar0(xS)
| ~ spl2_8 ),
inference(resolution,[],[f650,f223]) ).
fof(f694,plain,
( aScalar0(xS)
| ~ spl2_8 ),
inference(duplicate_literal_removal,[],[f693]) ).
fof(f695,plain,
( $false
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f694,f280]) ).
fof(f696,plain,
~ spl2_8,
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f748,definition,
( spl2_16
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f749,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_16 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f846,definition,
( spl2_30
<=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
fof(f848,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f854,definition,
( spl2_32
<=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
fof(f856,plain,
( aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f1242,plain,
( aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| aScalar0(xN) ),
inference(resolution,[],[f246,f210]) ).
fof(f1263,plain,
( aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| aScalar0(xN) ),
inference(forward_subsumption_resolution,[],[f1242,f208]) ).
fof(f1274,plain,
( aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
inference(forward_subsumption_resolution,[],[f1263,f281]) ).
fof(f1276,definition,
( spl2_46
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
fof(f1278,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| spl2_46 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1280,definition,
( spl2_47
<=> aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
fof(f1282,plain,
( aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1284,definition,
( spl2_48
<=> aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).
fof(f1286,plain,
( aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1287,plain,
( ~ spl2_46
| spl2_47
| spl2_48
| spl2_16 ),
inference(avatar_split_clause,[],[f1274,f748,f1284,f1280,f1276]) ).
fof(f1661,plain,
( aScalar0(xP)
| aScalar0(xP)
| ~ spl2_16 ),
inference(resolution,[],[f750,f223]) ).
fof(f1662,plain,
( aScalar0(xP)
| ~ spl2_16 ),
inference(duplicate_literal_removal,[],[f1661]) ).
fof(f1663,plain,
( $false
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1662,f279]) ).
fof(f1664,plain,
~ spl2_16,
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1665,plain,
( aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| aScalar0(sdtasdt0(xP,xP))
| ~ spl2_47 ),
inference(resolution,[],[f1282,f222]) ).
fof(f1666,plain,
( spl2_16
| spl2_32
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f1665,f1280,f854,f748]) ).
fof(f2673,plain,
( aScalar0(sdtasdt0(xR,xR))
| aScalar0(sdtasdt0(xS,xS))
| ~ spl2_30 ),
inference(resolution,[],[f848,f222]) ).
fof(f2674,plain,
( aScalar0(sdtasdt0(xR,xR))
| spl2_8
| ~ spl2_30 ),
inference(forward_subsumption_resolution,[],[f2673,f649]) ).
fof(f2675,plain,
( spl2_9
| spl2_8
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f2674,f846,f648,f652]) ).
fof(f2676,plain,
( aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtasdt0(xP,xP))
| ~ spl2_32 ),
inference(resolution,[],[f856,f222]) ).
fof(f2677,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl2_32 ),
inference(duplicate_literal_removal,[],[f2676]) ).
fof(f2678,plain,
( $false
| spl2_16
| ~ spl2_32 ),
inference(forward_subsumption_resolution,[],[f2677,f749]) ).
fof(f2679,plain,
( spl2_16
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f2678]) ).
fof(f2750,plain,
( aScalar0(xR)
| aScalar0(xR)
| ~ spl2_9 ),
inference(resolution,[],[f654,f223]) ).
fof(f2751,plain,
( aScalar0(xR)
| ~ spl2_9 ),
inference(duplicate_literal_removal,[],[f2750]) ).
fof(f2752,plain,
( $false
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f2751,f278]) ).
fof(f2753,plain,
~ spl2_9,
inference(avatar_contradiction_clause,[],[f2752]) ).
fof(f2754,plain,
( aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| aScalar0(xN)
| spl2_46 ),
inference(resolution,[],[f1278,f246]) ).
fof(f2759,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| aScalar0(xN)
| spl2_16
| spl2_46 ),
inference(forward_subsumption_resolution,[],[f2754,f749]) ).
fof(f2766,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| aScalar0(xN)
| spl2_16
| spl2_46 ),
inference(forward_subsumption_resolution,[],[f2759,f208]) ).
fof(f2767,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| aScalar0(xN)
| spl2_16
| spl2_46 ),
inference(forward_subsumption_resolution,[],[f2766,f209]) ).
fof(f2768,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| spl2_16
| spl2_46 ),
inference(forward_subsumption_resolution,[],[f2767,f281]) ).
fof(f2769,plain,
( spl2_32
| spl2_30
| spl2_16
| spl2_46 ),
inference(avatar_split_clause,[],[f2768,f1276,f748,f846,f854]) ).
fof(f2770,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| aScalar0(xN)
| ~ spl2_48 ),
inference(resolution,[],[f1286,f222]) ).
fof(f2771,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ spl2_48 ),
inference(forward_subsumption_resolution,[],[f2770,f281]) ).
fof(f2772,plain,
( spl2_30
| ~ spl2_48 ),
inference(avatar_split_clause,[],[f2771,f1284,f846]) ).
cnf(s20,plain,
~ spl2_8,
inference(sat_conversion,[],[f696]) ).
cnf(s42,plain,
( spl2_16
| ~ spl2_46
| spl2_47
| spl2_48 ),
inference(sat_conversion,[],[f1287]) ).
cnf(s56,plain,
~ spl2_16,
inference(sat_conversion,[],[f1664]) ).
cnf(s57,plain,
( spl2_16
| spl2_32
| ~ spl2_47 ),
inference(sat_conversion,[],[f1666]) ).
cnf(s104,plain,
( spl2_8
| spl2_9
| ~ spl2_30 ),
inference(sat_conversion,[],[f2675]) ).
cnf(s105,plain,
( spl2_16
| ~ spl2_32 ),
inference(sat_conversion,[],[f2679]) ).
cnf(s106,plain,
~ spl2_9,
inference(sat_conversion,[],[f2753]) ).
cnf(s109,plain,
( spl2_16
| spl2_30
| spl2_32
| spl2_46 ),
inference(sat_conversion,[],[f2769]) ).
cnf(s110,plain,
( spl2_30
| ~ spl2_48 ),
inference(sat_conversion,[],[f2772]) ).
cnf(s111,plain,
( spl2_8
| ~ spl2_30 ),
inference(rat,[],[s104,s106]) ).
cnf(s113,plain,
~ spl2_32,
inference(rat,[],[s105,s56]) ).
cnf(s114,plain,
~ spl2_47,
inference(rat,[],[s57,s56,s113]) ).
cnf(s117,plain,
( ~ spl2_46
| spl2_48 ),
inference(rat,[],[s42,s114,s56]) ).
cnf(s125,plain,
~ spl2_30,
inference(rat,[],[s111,s20]) ).
cnf(s127,plain,
~ spl2_48,
inference(rat,[],[s110,s125]) ).
cnf(s128,plain,
spl2_46,
inference(rat,[],[s109,s113,s56,s125]) ).
cnf(s131,plain,
$false,
inference(rat,[],[s117,s127,s128]) ).
fof(f2773,plain,
$false,
inference(avatar_sat_refutation,[],[s131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG067+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n016.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 23:12:17 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.52 % (3098452)Will run a generic schedule for satisfiability detection.
% 0.39/0.52 % (3098462)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1897262078:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.39/0.52 % (3098463)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3495233876:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.39/0.52 % (3098457)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3020986055_2999 on theBenchmark for (2999ds/0Mi)
% 0.39/0.52 % (3098459)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1428484573:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.39/0.52 % (3098460)dis+10_1_sil=32000:sp=arity:random_seed=313925170:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.39/0.52 % (3098461)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2096976474:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.39/0.52 % (3098458)% WARNING: option uhcvi not known.
% 0.39/0.52 % (3098458)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=815406438:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.39/0.52 % TRYING [1]
% 0.39/0.52 % TRYING [2]
% 0.39/0.52 % TRYING [3]
% 0.39/0.52 % TRYING [4]
% 0.39/0.52 % (3098462)Instruction limit reached!
% 0.39/0.52 % (3098462)------------------------------
% 0.39/0.52 % (3098462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.52 % (3098462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.52 % (3098462)CaDiCaL version: 2.1.3
% 0.39/0.52 % (3098462)Termination reason: Instruction limit
% 0.39/0.52 % (3098462)Termination phase: Saturation
% 0.39/0.52 % (3098462)Time elapsed: 0.040 s
% 0.39/0.52 % (3098462)Peak memory usage: 13 MB
% 0.39/0.52 % (3098462)Instructions burned: 131 (million)
% 0.39/0.52 % (3098471)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2349376221:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.39/0.52 % TRYING [1]
% 0.39/0.52 % TRYING [2]
% 0.39/0.52 % TRYING [3]
% 0.39/0.52 % TRYING [4]
% 0.39/0.52 % (3098460)Instruction limit reached!
% 0.39/0.52 % (3098460)------------------------------
% 0.39/0.52 % (3098460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.52 % (3098460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.52 % (3098460)CaDiCaL version: 2.1.3
% 0.39/0.52 % (3098460)Termination reason: Instruction limit
% 0.39/0.52 % (3098460)Termination phase: Saturation
% 0.39/0.52 % (3098460)Time elapsed: 0.065 s
% 0.39/0.52 % (3098460)Peak memory usage: 12 MB
% 0.39/0.52 % (3098460)Instructions burned: 103 (million)
% 0.39/0.52 % (3098458) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3098452-3098458"...
% 0.39/0.52 % (3098461)Instruction limit reached!
% 0.39/0.52 % (3098461)------------------------------
% 0.39/0.52 % (3098461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.52 % (3098461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.52 % (3098461)CaDiCaL version: 2.1.3
% 0.39/0.52 % (3098461)Termination reason: Instruction limit
% 0.39/0.52 % (3098461)Termination phase: Saturation
% 0.39/0.52 % (3098461)Time elapsed: 0.069 s
% 0.39/0.52 % (3098461)Peak memory usage: 13 MB
% 0.39/0.52 % (3098461)Instructions burned: 116 (million)
% 0.39/0.52 % (3098458)...printing done.
% 0.39/0.52 % (3098458)Refutation found. Thanks to Tanya!
% 0.39/0.52 % SZS status Theorem for theBenchmark
% 0.39/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.39/0.52 % (3098458)------------------------------
% 0.39/0.52 % (3098458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.52 % (3098458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.52 % (3098458)CaDiCaL version: 2.1.3
% 0.39/0.52 % (3098458)Termination reason: Refutation
% 0.39/0.52 % (3098458)Time elapsed: 0.061 s
% 0.39/0.52 % (3098458)Peak memory usage: 14 MB
% 0.39/0.52 % (3098458)Instructions burned: 98 (million)
% 0.39/0.52 % (3098452)Success in time 0.104 s
% 0.39/0.52 % Vampire exiting
%------------------------------------------------------------------------------