%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG076+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 : n019.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 0.23s 0.56s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 117 ( 32 unt; 9 def)
% Number of atoms : 290 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 323 ( 150 ~; 146 |; 13 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 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(f130,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f131,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f151,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f154,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(f187,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f189,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f191,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f197,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f199,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f201,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f203,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f206,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f207,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f57]) ).
fof(f208,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(f561,definition,
( spl2_6
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f562,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f563,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl2_6 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f569,definition,
( spl2_8
<=> aScalar0(sdtasdt0(xE,xE)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f570,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f571,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| spl2_8 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f578,definition,
( spl2_10
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f580,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_10 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f586,definition,
( spl2_12
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f587,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f588,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_12 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f726,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xD)
| spl2_6 ),
inference(resolution,[],[f563,f131]) ).
fof(f727,plain,
( ~ aScalar0(xD)
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f726,f187]) ).
fof(f728,plain,
( $false
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f727,f189]) ).
fof(f729,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f780,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| spl2_8 ),
inference(resolution,[],[f571,f131]) ).
fof(f781,plain,
( ~ aScalar0(xE)
| spl2_8 ),
inference(duplicate_literal_removal,[],[f780]) ).
fof(f782,plain,
( $false
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f781,f191]) ).
fof(f783,plain,
spl2_8,
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f874,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,[],[f154,f208]) ).
fof(f879,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ 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_6 ),
inference(forward_subsumption_resolution,[],[f874,f562]) ).
fof(f882,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ 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_6
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f879,f570]) ).
fof(f883,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f882,f206]) ).
fof(f885,definition,
( spl2_31
<=> aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
fof(f887,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| spl2_31 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f889,definition,
( spl2_32
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
fof(f891,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| spl2_32 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f893,definition,
( spl2_33
<=> aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
fof(f895,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| spl2_33 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f896,plain,
( ~ spl2_31
| ~ spl2_32
| ~ spl2_33
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f883,f569,f561,f893,f889,f885]) ).
fof(f914,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| spl2_31 ),
inference(resolution,[],[f887,f130]) ).
fof(f916,definition,
( spl2_34
<=> aScalar0(sdtasdt0(xH,xH)) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
fof(f917,plain,
( aScalar0(sdtasdt0(xH,xH))
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f918,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| spl2_34 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f919,plain,
( ~ spl2_34
| ~ spl2_10
| spl2_31 ),
inference(avatar_split_clause,[],[f914,f885,f578,f916]) ).
fof(f920,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl2_10 ),
inference(resolution,[],[f580,f130]) ).
fof(f921,plain,
( ~ aScalar0(xS)
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f920,f199]) ).
fof(f922,plain,
( $false
| spl2_10 ),
inference(forward_subsumption_resolution,[],[f921,f203]) ).
fof(f923,plain,
spl2_10,
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f934,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| spl2_34 ),
inference(resolution,[],[f918,f131]) ).
fof(f935,plain,
( ~ aScalar0(xH)
| spl2_34 ),
inference(duplicate_literal_removal,[],[f934]) ).
fof(f936,plain,
( $false
| spl2_34 ),
inference(forward_subsumption_resolution,[],[f935,f197]) ).
fof(f937,plain,
spl2_34,
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f1006,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_32 ),
inference(resolution,[],[f891,f154]) ).
fof(f1007,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_32 ),
inference(duplicate_literal_removal,[],[f1006]) ).
fof(f1008,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| spl2_32
| ~ spl2_34 ),
inference(forward_subsumption_resolution,[],[f1007,f917]) ).
fof(f1009,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| spl2_32
| ~ spl2_34 ),
inference(forward_subsumption_resolution,[],[f1008,f207]) ).
fof(f1011,definition,
( spl2_37
<=> sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH)) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
fof(f1013,plain,
( ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| spl2_37 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1014,plain,
( ~ spl2_37
| ~ spl2_12
| ~ spl2_10
| spl2_32
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f1009,f916,f889,f578,f586,f1011]) ).
fof(f1033,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_12 ),
inference(resolution,[],[f588,f130]) ).
fof(f1034,plain,
( ~ aScalar0(xP)
| spl2_12 ),
inference(duplicate_literal_removal,[],[f1033]) ).
fof(f1035,plain,
( $false
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f1034,f201]) ).
fof(f1036,plain,
spl2_12,
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1055,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| spl2_37 ),
inference(resolution,[],[f1013,f151]) ).
fof(f1056,plain,
( $false
| ~ spl2_34
| spl2_37 ),
inference(forward_subsumption_resolution,[],[f1055,f917]) ).
fof(f1057,plain,
( ~ spl2_34
| spl2_37 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1058,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtasdt0(xH,xH))
| spl2_33 ),
inference(resolution,[],[f895,f130]) ).
fof(f1059,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ spl2_12
| spl2_33 ),
inference(forward_subsumption_resolution,[],[f1058,f587]) ).
fof(f1060,plain,
( $false
| ~ spl2_12
| spl2_33
| ~ spl2_34 ),
inference(forward_subsumption_resolution,[],[f1059,f917]) ).
fof(f1061,plain,
( ~ spl2_12
| spl2_33
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f1060]) ).
cnf(s27,plain,
spl2_6,
inference(sat_conversion,[],[f729]) ).
cnf(s28,plain,
spl2_8,
inference(sat_conversion,[],[f783]) ).
cnf(s33,plain,
( ~ spl2_6
| ~ spl2_8
| ~ spl2_31
| ~ spl2_32
| ~ spl2_33 ),
inference(sat_conversion,[],[f896]) ).
cnf(s34,plain,
( ~ spl2_10
| spl2_31
| ~ spl2_34 ),
inference(sat_conversion,[],[f919]) ).
cnf(s35,plain,
spl2_10,
inference(sat_conversion,[],[f923]) ).
cnf(s37,plain,
spl2_34,
inference(sat_conversion,[],[f937]) ).
cnf(s38,plain,
( ~ spl2_10
| ~ spl2_12
| spl2_32
| ~ spl2_34
| ~ spl2_37 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s39,plain,
spl2_12,
inference(sat_conversion,[],[f1036]) ).
cnf(s40,plain,
( ~ spl2_34
| spl2_37 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s41,plain,
( ~ spl2_12
| spl2_33
| ~ spl2_34 ),
inference(sat_conversion,[],[f1061]) ).
cnf(s42,plain,
( ~ spl2_10
| spl2_32
| ~ spl2_34
| ~ spl2_37 ),
inference(rat,[],[s38,s39]) ).
cnf(s43,plain,
spl2_37,
inference(rat,[],[s40,s37]) ).
cnf(s44,plain,
spl2_33,
inference(rat,[],[s41,s39,s37]) ).
cnf(s45,plain,
spl2_32,
inference(rat,[],[s42,s43,s37,s35]) ).
cnf(s46,plain,
spl2_31,
inference(rat,[],[s34,s37,s35]) ).
cnf(s47,plain,
( ~ spl2_6
| ~ spl2_8 ),
inference(rat,[],[s33,s44,s45,s46]) ).
cnf(s48,plain,
~ spl2_6,
inference(rat,[],[s47,s28]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s27,s48]) ).
fof(f1062,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG076+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 % Computer : n019.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 23:10:03 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.47 Running first-order model finding
% 0.15/0.47 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
% 0.23/0.56 % (3511143)Will run a generic schedule for satisfiability detection.
% 0.23/0.56 % (3511153)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1191474952:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.56 % (3511148)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=65882415_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.56 % (3511149)% WARNING: option uhcvi not known.
% 0.23/0.56 % TRYING [1]
% 0.23/0.56 % TRYING [2]
% 0.23/0.56 % (3511152)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2656961834:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.56 % (3511151)dis+10_1_sil=32000:sp=arity:random_seed=2382495803:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.56 % (3511149)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=343808672:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.56 % (3511154)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2699700484:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.56 % (3511150)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3019422973:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.56 % TRYING [3]
% 0.23/0.56 % TRYING [4]
% 0.23/0.56 % (3511149) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3511143-3511149"...
% 0.23/0.56 % (3511149)...printing done.
% 0.23/0.56 % (3511149)Refutation found. Thanks to Tanya!
% 0.23/0.56 % SZS status Theorem for theBenchmark
% 0.23/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.57 % (3511149)------------------------------
% 0.23/0.57 % (3511149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.57 % (3511149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.57 % (3511149)CaDiCaL version: 2.1.3
% 0.23/0.57 % (3511149)Termination reason: Refutation
% 0.23/0.57 % (3511149)Time elapsed: 0.038 s
% 0.23/0.57 % (3511149)Peak memory usage: 13 MB
% 0.23/0.57 % (3511149)Instructions burned: 36 (million)
% 0.23/0.57 % (3511143)Success in time 0.082 s
% 0.23/0.57 % Vampire exiting
%------------------------------------------------------------------------------