%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG076+2 : 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 : n003.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 12:35:57 PM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 115 ( 31 unt; 8 def)
% Number of atoms : 300 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 348 ( 163 ~; 159 |; 13 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 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(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
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(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
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(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1983) ).
fof(f58,conjecture,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f59,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f60,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(flattening,[],[f59]) ).
fof(f71,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f72,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f73]) ).
fof(f89,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f94,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(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(flattening,[],[f94]) ).
fof(f132,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f133,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f153,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f156,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(cnf_transformation,[],[f95]) ).
fof(f193,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f195,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f197,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f203,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f205,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f207,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f209,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f212,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f213,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f57]) ).
fof(f214,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(cnf_transformation,[],[f60]) ).
fof(f794,definition,
( spl2_17
<=> aScalar0(sdtasdt0(xE,xE)) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f795,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f796,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| spl2_17 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f798,definition,
( spl2_18
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f799,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f800,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl2_18 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f806,definition,
( spl2_20
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
fof(f807,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f808,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_20 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f810,definition,
( spl2_21
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
fof(f811,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f812,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_21 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f836,definition,
( spl2_25
<=> aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
fof(f837,plain,
( aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f838,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| spl2_25 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f1050,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| spl2_17 ),
inference(resolution,[],[f796,f133]) ).
fof(f1051,plain,
( ~ aScalar0(xE)
| spl2_17 ),
inference(duplicate_literal_removal,[],[f1050]) ).
fof(f1052,plain,
( $false
| spl2_17 ),
inference(forward_subsumption_resolution,[],[f1051,f197]) ).
fof(f1053,plain,
spl2_17,
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1102,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtasdt0(xH,xH))
| spl2_25 ),
inference(resolution,[],[f838,f132]) ).
fof(f1104,definition,
( spl2_34
<=> aScalar0(sdtasdt0(xH,xH)) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
fof(f1105,plain,
( aScalar0(sdtasdt0(xH,xH))
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1106,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| spl2_34 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1107,plain,
( ~ spl2_34
| ~ spl2_20
| spl2_25 ),
inference(avatar_split_clause,[],[f1102,f836,f806,f1104]) ).
fof(f1249,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xD)
| spl2_18 ),
inference(resolution,[],[f800,f133]) ).
fof(f1250,plain,
( ~ aScalar0(xD)
| spl2_18 ),
inference(forward_subsumption_resolution,[],[f1249,f193]) ).
fof(f1251,plain,
( $false
| spl2_18 ),
inference(forward_subsumption_resolution,[],[f1250,f195]) ).
fof(f1252,plain,
spl2_18,
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1307,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
inference(resolution,[],[f156,f214]) ).
fof(f1320,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_20 ),
inference(resolution,[],[f808,f132]) ).
fof(f1321,plain,
( ~ aScalar0(xP)
| spl2_20 ),
inference(duplicate_literal_removal,[],[f1320]) ).
fof(f1322,plain,
( $false
| spl2_20 ),
inference(forward_subsumption_resolution,[],[f1321,f207]) ).
fof(f1323,plain,
spl2_20,
inference(avatar_contradiction_clause,[],[f1322]) ).
fof(f1332,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| spl2_34 ),
inference(resolution,[],[f1106,f133]) ).
fof(f1333,plain,
( ~ aScalar0(xH)
| spl2_34 ),
inference(duplicate_literal_removal,[],[f1332]) ).
fof(f1334,plain,
( $false
| spl2_34 ),
inference(forward_subsumption_resolution,[],[f1333,f203]) ).
fof(f1335,plain,
spl2_34,
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1336,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f1307,f837]) ).
fof(f1337,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f1336,f799]) ).
fof(f1338,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl2_17
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f1337,f795]) ).
fof(f1339,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl2_17
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f1338,f212]) ).
fof(f1341,definition,
( spl2_35
<=> aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
fof(f1343,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| spl2_35 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1345,definition,
( spl2_36
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
fof(f1347,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| spl2_36 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1348,plain,
( ~ spl2_35
| ~ spl2_36
| ~ spl2_17
| ~ spl2_18
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f1339,f836,f798,f794,f1345,f1341]) ).
fof(f1657,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| spl2_35 ),
inference(resolution,[],[f1343,f132]) ).
fof(f1801,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl2_21 ),
inference(resolution,[],[f812,f132]) ).
fof(f1802,plain,
( ~ aScalar0(xS)
| spl2_21 ),
inference(forward_subsumption_resolution,[],[f1801,f205]) ).
fof(f1803,plain,
( $false
| spl2_21 ),
inference(forward_subsumption_resolution,[],[f1802,f209]) ).
fof(f1804,plain,
spl2_21,
inference(avatar_contradiction_clause,[],[f1803]) ).
fof(f1805,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ spl2_21
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f1657,f811]) ).
fof(f1806,plain,
( $false
| ~ spl2_21
| ~ spl2_34
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f1805,f1105]) ).
fof(f1807,plain,
( ~ spl2_21
| ~ spl2_34
| spl2_35 ),
inference(avatar_contradiction_clause,[],[f1806]) ).
fof(f1892,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| spl2_36 ),
inference(resolution,[],[f1347,f156]) ).
fof(f1894,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| spl2_36 ),
inference(duplicate_literal_removal,[],[f1892]) ).
fof(f1896,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ spl2_34
| spl2_36 ),
inference(forward_subsumption_resolution,[],[f1894,f1105]) ).
fof(f1898,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ spl2_21
| ~ spl2_34
| spl2_36 ),
inference(forward_subsumption_resolution,[],[f1896,f811]) ).
fof(f1899,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ spl2_20
| ~ spl2_21
| ~ spl2_34
| spl2_36 ),
inference(forward_subsumption_resolution,[],[f1898,f807]) ).
fof(f1900,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ spl2_20
| ~ spl2_21
| ~ spl2_34
| spl2_36 ),
inference(forward_subsumption_resolution,[],[f1899,f213]) ).
fof(f2005,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ spl2_20
| ~ spl2_21
| ~ spl2_34
| spl2_36 ),
inference(resolution,[],[f1900,f153]) ).
fof(f2010,plain,
( $false
| ~ spl2_20
| ~ spl2_21
| ~ spl2_34
| spl2_36 ),
inference(forward_subsumption_resolution,[],[f2005,f1105]) ).
fof(f2011,plain,
( ~ spl2_20
| ~ spl2_21
| ~ spl2_34
| spl2_36 ),
inference(avatar_contradiction_clause,[],[f2010]) ).
cnf(s35,plain,
spl2_17,
inference(sat_conversion,[],[f1053]) ).
cnf(s36,plain,
( ~ spl2_20
| spl2_25
| ~ spl2_34 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s37,plain,
spl2_18,
inference(sat_conversion,[],[f1252]) ).
cnf(s38,plain,
spl2_20,
inference(sat_conversion,[],[f1323]) ).
cnf(s39,plain,
spl2_34,
inference(sat_conversion,[],[f1335]) ).
cnf(s40,plain,
( ~ spl2_17
| ~ spl2_18
| ~ spl2_25
| ~ spl2_35
| ~ spl2_36 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s49,plain,
spl2_21,
inference(sat_conversion,[],[f1804]) ).
cnf(s50,plain,
( ~ spl2_21
| ~ spl2_34
| spl2_35 ),
inference(sat_conversion,[],[f1807]) ).
cnf(s54,plain,
( ~ spl2_20
| ~ spl2_21
| ~ spl2_34
| spl2_36 ),
inference(sat_conversion,[],[f2011]) ).
cnf(s58,plain,
spl2_35,
inference(rat,[],[s50,s49,s39]) ).
cnf(s62,plain,
spl2_36,
inference(rat,[],[s54,s39,s49,s38]) ).
cnf(s64,plain,
spl2_25,
inference(rat,[],[s36,s39,s38]) ).
cnf(s65,plain,
~ spl2_17,
inference(rat,[],[s40,s62,s58,s37,s64]) ).
cnf(s66,plain,
$false,
inference(rat,[],[s35,s65]) ).
fof(f2012,plain,
$false,
inference(avatar_sat_refutation,[],[s66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG076+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n003.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 23:11:26 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.18/0.50 % (1034285)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (1034294)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4192101257:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (1034291)% WARNING: option uhcvi not known.
% 0.18/0.50 % (1034291)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=307387453:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (1034290)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4108533333_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (1034295)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=904076036:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (1034292)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2469139883:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (1034296)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=169529039:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % (1034293)dis+10_1_sil=32000:sp=arity:random_seed=461497063:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % TRYING [1]
% 0.18/0.50 % TRYING [2]
% 0.18/0.50 % TRYING [3]
% 0.18/0.50 % (1034294) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1034285-1034294"...
% 0.18/0.50 % (1034291) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1034285-1034291"...
% 0.18/0.50 % (1034294)...printing done.
% 0.18/0.50 % (1034294)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (1034294)------------------------------
% 0.18/0.51 % (1034294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.51 % (1034294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.51 % (1034294)CaDiCaL version: 2.1.3
% 0.18/0.51 % (1034294)Termination reason: Refutation
% 0.18/0.51 % (1034294)Time elapsed: 0.030 s
% 0.18/0.51 % (1034294)Peak memory usage: 14 MB
% 0.18/0.51 % (1034294)Instructions burned: 95 (million)
% 0.18/0.51 % (1034285)Success in time 0.072 s
% 0.18/0.51 % Vampire exiting
%------------------------------------------------------------------------------