%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG062+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:35:20 PM UTC 2026
% Result : Theorem 6.38s 1.96s
% Output : Refutation 8.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 97 ( 26 unt; 9 def)
% Number of atoms : 248 ( 36 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 275 ( 124 ~; 122 |; 16 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f59,axiom,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2180) ).
fof(f61,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f62,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f68,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(flattening,[],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f81]) ).
fof(f137,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f138,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f139,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f151,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f152,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f211,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f215,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f217,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f223,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f59]) ).
fof(f225,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(cnf_transformation,[],[f68]) ).
fof(f229,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xN)) ),
inference(superposition,[],[f225,f152]) ).
fof(f237,definition,
( spl2_1
<=> ! [X0] : ~ aScalar0(X0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f238,plain,
( ! [X0] : ~ aScalar0(X0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,definition,
( spl2_2
<=> aScalar0(smndt0(xN)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f241,plain,
( ~ aScalar0(smndt0(xN))
| spl2_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f263,definition,
( spl2_8
<=> aScalar0(sdtasdt0(xS,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f264,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| spl2_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,definition,
( spl2_9
<=> aScalar0(sdtasdt0(xR,xR)) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f267,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| spl2_9 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f269,definition,
( spl2_10
<=> sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN)) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f270,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN))
| spl2_10 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( ~ spl2_2
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f229,f269,f266,f263,f240]) ).
fof(f275,plain,
( ~ aScalar0(xN)
| spl2_2 ),
inference(resolution,[],[f241,f140]) ).
fof(f276,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f275,f217]) ).
fof(f277,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f301,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| spl2_8 ),
inference(resolution,[],[f264,f139]) ).
fof(f302,plain,
( ~ aScalar0(xS)
| spl2_8 ),
inference(duplicate_literal_removal,[],[f301]) ).
fof(f303,plain,
( $false
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f302,f215]) ).
fof(f304,plain,
spl2_8,
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f338,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| spl2_9 ),
inference(resolution,[],[f267,f139]) ).
fof(f339,plain,
( ~ aScalar0(xR)
| spl2_9 ),
inference(duplicate_literal_removal,[],[f338]) ).
fof(f340,plain,
( $false
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f339,f211]) ).
fof(f341,plain,
spl2_9,
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f517,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),smndt0(xN))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(X0) )
| spl2_10 ),
inference(superposition,[],[f270,f151]) ).
fof(f535,definition,
( spl2_31
<=> sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),smndt0(xN)) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
fof(f536,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),smndt0(xN))
| spl2_31 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f538,plain,
( spl2_1
| ~ spl2_8
| ~ spl2_2
| ~ spl2_31
| spl2_10 ),
inference(avatar_split_clause,[],[f517,f269,f535,f240,f263,f237]) ).
fof(f789,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f238,f137]) ).
fof(f818,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f937,definition,
( spl2_59
<=> sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)),smndt0(xN))) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
fof(f938,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)),smndt0(xN)))
| spl2_59 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f942,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| ~ aScalar0(smndt0(xN))
| spl2_31 ),
inference(superposition,[],[f536,f152]) ).
fof(f951,definition,
( spl2_61
<=> aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_61])],[avatar_definition]) ).
fof(f952,plain,
( ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| spl2_61 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f953,plain,
( ~ spl2_2
| ~ spl2_61
| ~ spl2_9
| ~ spl2_59
| spl2_31 ),
inference(avatar_split_clause,[],[f942,f535,f937,f266,f951,f240]) ).
fof(f962,definition,
( spl2_62
<=> sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))) ),
introduced(definition,[new_symbols(definition,[spl2_62])],[avatar_definition]) ).
fof(f963,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))))
| spl2_62 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f993,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| ~ aScalar0(X0) )
| spl2_59 ),
inference(superposition,[],[f938,f151]) ).
fof(f997,plain,
( spl2_1
| ~ spl2_61
| ~ spl2_2
| ~ spl2_62
| spl2_59 ),
inference(avatar_split_clause,[],[f993,f937,f962,f240,f951,f237]) ).
fof(f1122,plain,
( aScalar0(smndt0(xN))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f1261,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f1265,plain,
( sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) ),
inference(superposition,[],[f223,f152]) ).
fof(f1313,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| spl2_62 ),
inference(forward_subsumption_resolution,[],[f1265,f963]) ).
fof(f1317,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| ~ spl2_2
| spl2_62 ),
inference(forward_subsumption_resolution,[],[f1313,f1122]) ).
fof(f1324,plain,
( ~ spl2_61
| ~ spl2_9
| ~ spl2_2
| spl2_62 ),
inference(avatar_split_clause,[],[f1317,f962,f240,f266,f951]) ).
fof(f1325,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xS,xS))
| spl2_61 ),
inference(resolution,[],[f952,f138]) ).
fof(f1326,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ spl2_2
| spl2_61 ),
inference(forward_subsumption_resolution,[],[f1325,f1122]) ).
fof(f1327,plain,
( $false
| ~ spl2_2
| ~ spl2_8
| spl2_61 ),
inference(forward_subsumption_resolution,[],[f1326,f1261]) ).
fof(f1328,plain,
( ~ spl2_2
| ~ spl2_8
| spl2_61 ),
inference(avatar_contradiction_clause,[],[f1327]) ).
cnf(s6,plain,
( ~ spl2_2
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10 ),
inference(sat_conversion,[],[f271]) ).
cnf(s7,plain,
spl2_2,
inference(sat_conversion,[],[f277]) ).
cnf(s11,plain,
spl2_8,
inference(sat_conversion,[],[f304]) ).
cnf(s12,plain,
spl2_9,
inference(sat_conversion,[],[f341]) ).
cnf(s34,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_8
| spl2_10
| ~ spl2_31 ),
inference(sat_conversion,[],[f538]) ).
cnf(s64,plain,
~ spl2_1,
inference(sat_conversion,[],[f818]) ).
cnf(s80,plain,
( ~ spl2_2
| ~ spl2_9
| spl2_31
| ~ spl2_59
| ~ spl2_61 ),
inference(sat_conversion,[],[f953]) ).
cnf(s89,plain,
( spl2_1
| ~ spl2_2
| spl2_59
| ~ spl2_61
| ~ spl2_62 ),
inference(sat_conversion,[],[f997]) ).
cnf(s146,plain,
( ~ spl2_2
| ~ spl2_9
| ~ spl2_61
| spl2_62 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s147,plain,
( ~ spl2_2
| ~ spl2_8
| spl2_61 ),
inference(sat_conversion,[],[f1328]) ).
cnf(s153,plain,
( ~ spl2_2
| ~ spl2_8
| spl2_10
| ~ spl2_31 ),
inference(rat,[],[s34,s64]) ).
cnf(s164,plain,
spl2_61,
inference(rat,[],[s147,s11,s7]) ).
cnf(s168,plain,
spl2_62,
inference(rat,[],[s146,s7,s12,s164]) ).
cnf(s169,plain,
spl2_59,
inference(rat,[],[s89,s7,s164,s64,s168]) ).
cnf(s171,plain,
spl2_31,
inference(rat,[],[s80,s164,s7,s12,s169]) ).
cnf(s173,plain,
spl2_10,
inference(rat,[],[s153,s7,s11,s171]) ).
cnf(s174,plain,
$false,
inference(rat,[],[s6,s173,s12,s11,s7]) ).
fof(f1329,plain,
$false,
inference(avatar_sat_refutation,[],[s174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG062+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n001.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 23:10:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 6.38/1.96 % (4077750)Detected formulas, will run a generic FOF schedule.
% 6.38/1.96 % (4077760)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3940591713:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.38/1.96 % (4077756)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=3615782006:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.38/1.96 % (4077761)dis-21_1_sil=8000:lcm=predicate:random_seed=56244779:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.38/1.96 % (4077757)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=3519755250:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.38/1.96 % (4077759)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1949858132:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.38/1.96 % (4077755)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=989749648:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.38/1.96 % (4077758)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=651636410:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.38/1.96 % (4077760)Instruction limit reached!
% 6.38/1.96 % (4077760)------------------------------
% 6.38/1.96 % (4077760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077760)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077760)Termination reason: Instruction limit
% 6.38/1.96 % (4077760)Termination phase: Saturation
% 6.38/1.96 % (4077760)Time elapsed: 0.050 s
% 6.38/1.96 % (4077760)Peak memory usage: 90 MB
% 6.38/1.96 % (4077760)Instructions burned: 140 (million)
% 6.38/1.96 % (4077758)Instruction limit reached!
% 6.38/1.96 % (4077758)------------------------------
% 6.38/1.96 % (4077758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077758)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077758)Termination reason: Instruction limit
% 6.38/1.96 % (4077758)Termination phase: Saturation
% 6.38/1.96 % (4077758)Time elapsed: 0.056 s
% 6.38/1.96 % (4077758)Peak memory usage: 89 MB
% 6.38/1.96 % (4077758)Instructions burned: 109 (million)
% 6.38/1.96 % (4077759)Instruction limit reached!
% 6.38/1.96 % (4077759)------------------------------
% 6.38/1.96 % (4077759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077759)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077759)Termination reason: Instruction limit
% 6.38/1.96 % (4077759)Termination phase: Saturation
% 6.38/1.96 % (4077759)Time elapsed: 0.069 s
% 6.38/1.96 % (4077759)Peak memory usage: 89 MB
% 6.38/1.96 % (4077759)Instructions burned: 119 (million)
% 6.38/1.96 % (4077761)Instruction limit reached!
% 6.38/1.96 % (4077761)------------------------------
% 6.38/1.96 % (4077761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077761)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077761)Termination reason: Instruction limit
% 6.38/1.96 % (4077761)Termination phase: Saturation
% 6.38/1.96 % (4077761)Time elapsed: 0.071 s
% 6.38/1.96 % (4077761)Peak memory usage: 89 MB
% 6.38/1.96 % (4077761)Instructions burned: 131 (million)
% 6.38/1.96 % (4077769)lrs+10_1_sil=8000:sp=occurrence:random_seed=3354046084:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.38/1.96 % (4077770)lrs+10_1_sil=32000:urr=on:br=off:random_seed=335565257:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.38/1.96 % (4077769)Instruction limit reached!
% 6.38/1.96 % (4077769)------------------------------
% 6.38/1.96 % (4077769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077769)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077769)Termination reason: Instruction limit
% 6.38/1.96 % (4077769)Termination phase: Saturation
% 6.38/1.96 % (4077769)Time elapsed: 0.093 s
% 6.38/1.96 % (4077769)Peak memory usage: 93 MB
% 6.38/1.96 % (4077769)Instructions burned: 286 (million)
% 6.38/1.96 % (4077771)lrs+1011_1_sil=32000:sp=occurrence:random_seed=414686987:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.38/1.96 % (4077772)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=786917532:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.38/1.96 % (4077770)Instruction limit reached!
% 6.38/1.96 % (4077770)------------------------------
% 6.38/1.96 % (4077770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077770)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077770)Termination reason: Instruction limit
% 6.38/1.96 % (4077770)Termination phase: Saturation
% 6.38/1.96 % (4077770)Time elapsed: 0.077 s
% 6.38/1.96 % (4077770)Peak memory usage: 92 MB
% 6.38/1.96 % (4077770)Instructions burned: 158 (million)
% 6.38/1.96 % (4077772)Instruction limit reached!
% 6.38/1.96 % (4077772)------------------------------
% 6.38/1.96 % (4077772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077772)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077772)Termination reason: Instruction limit
% 6.38/1.96 % (4077772)Termination phase: Saturation
% 6.38/1.96 % (4077772)Time elapsed: 0.113 s
% 6.38/1.96 % (4077772)Peak memory usage: 95 MB
% 6.38/1.96 % (4077772)Instructions burned: 250 (million)
% 6.38/1.96 % (4077777)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1411104397:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.38/1.96 % (4077771)Instruction limit reached!
% 6.38/1.96 % (4077771)------------------------------
% 6.38/1.96 % (4077771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077771)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077771)Termination reason: Instruction limit
% 6.38/1.96 % (4077771)Termination phase: Saturation
% 6.38/1.96 % (4077771)Time elapsed: 0.197 s
% 6.38/1.96 % (4077771)Peak memory usage: 93 MB
% 6.38/1.96 % (4077771)Instructions burned: 325 (million)
% 6.38/1.96 % (4077777)Instruction limit reached!
% 6.38/1.96 % (4077777)------------------------------
% 6.38/1.96 % (4077777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077777)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077777)Termination reason: Instruction limit
% 6.38/1.96 % (4077777)Termination phase: Saturation
% 6.38/1.96 % (4077777)Time elapsed: 0.091 s
% 6.38/1.96 % (4077777)Peak memory usage: 91 MB
% 6.38/1.96 % (4077777)Instructions burned: 296 (million)
% 6.38/1.96 % (4077778)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3818828292:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.38/1.96 % (4077780)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1865811390:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.38/1.96 % (4077780)Instruction limit reached!
% 6.38/1.96 % (4077780)------------------------------
% 6.38/1.96 % (4077780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077780)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077780)Termination reason: Instruction limit
% 6.38/1.96 % (4077780)Termination phase: Saturation
% 6.38/1.96 % (4077780)Time elapsed: 0.076 s
% 6.38/1.96 % (4077780)Peak memory usage: 91 MB
% 6.38/1.96 % (4077780)Instructions burned: 114 (million)
% 6.38/1.96 % (4077782)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2336671672:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.38/1.96 % (4077781)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2647850720:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.38/1.96 % (4077782)Instruction limit reached!
% 6.38/1.96 % (4077782)------------------------------
% 6.38/1.96 % (4077782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077782)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077782)Termination reason: Instruction limit
% 6.38/1.96 % (4077782)Termination phase: Saturation
% 6.38/1.96 % (4077782)Time elapsed: 0.034 s
% 6.38/1.96 % (4077782)Peak memory usage: 89 MB
% 6.38/1.96 % (4077782)Instructions burned: 118 (million)
% 6.38/1.96 % (4077781)Instruction limit reached!
% 6.38/1.96 % (4077781)------------------------------
% 6.38/1.96 % (4077781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.96 % (4077781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.96 % (4077781)CaDiCaL version: 2.1.3
% 6.38/1.96 % (4077781)Termination reason: Instruction limit
% 6.38/1.96 % (4077781)Termination phase: Saturation
% 6.38/1.96 % (4077781)Time elapsed: 0.067 s
% 6.38/1.96 % (4077781)Peak memory usage: 89 MB
% 6.38/1.96 % (4077781)Instructions burned: 128 (million)
% 6.38/1.96 % (4077787)lrs+10_1_sil=8000:sp=occurrence:random_seed=155270692:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.38/1.96 % (4077788)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=597441343:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.38/1.96 % (4077788)First to succeed.
% 6.38/1.96 % (4077788)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4077750"
% 6.38/1.96 % (4077757)Also succeeded, but the first one will report.
% 6.38/1.96 % (4077789)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2874836658:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.38/1.96 % (4077788)Refutation found. Thanks to Tanya!
% 6.38/1.96 % SZS status Theorem for theBenchmark
% 6.38/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.23/2.15 % (4077788)------------------------------
% 8.23/2.15 % (4077788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.23/2.15 % (4077788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/2.15 % (4077788)CaDiCaL version: 2.1.3
% 8.23/2.15 % (4077788)Termination reason: Refutation
% 8.23/2.15 % (4077788)Time elapsed: 0.013 s
% 8.23/2.15 % (4077788)Peak memory usage: 90 MB
% 8.23/2.15 % (4077788)Instructions burned: 34 (million)
% 8.23/2.15 % (4077788)------------------------------
% 8.23/2.15 % (4077788)------------------------------
% 8.23/2.15 % (4077750)Success in time 1.077 s
% 8.23/2.15 % Vampire exiting
%------------------------------------------------------------------------------