%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG067+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:35:55 PM UTC 2026
% Result : Theorem 1.57s 0.77s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 100 ( 25 unt; 8 def)
% Number of atoms : 260 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 303 ( 143 ~; 138 |; 10 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
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(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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(f133,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f134,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f157,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,[],[f96]) ).
fof(f206,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f208,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f210,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f212,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f214,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f215,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f58]) ).
fof(f216,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(f651,definition,
( spl2_19
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
fof(f652,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f653,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_19 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f728,definition,
( spl2_32
<=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
fof(f729,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f730,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl2_32 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f736,definition,
( spl2_34
<=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
fof(f738,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| spl2_34 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f883,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_19 ),
inference(resolution,[],[f653,f134]) ).
fof(f884,plain,
( ~ aScalar0(xP)
| spl2_19 ),
inference(duplicate_literal_removal,[],[f883]) ).
fof(f885,plain,
( $false
| spl2_19 ),
inference(forward_subsumption_resolution,[],[f884,f208]) ).
fof(f886,plain,
spl2_19,
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f978,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,[],[f157,f216]) ).
fof(f983,plain,
( ~ 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)
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f978,f652]) ).
fof(f986,plain,
( ~ 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)
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f983,f214]) ).
fof(f987,plain,
( ~ 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))
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f986,f212]) ).
fof(f989,definition,
( spl2_44
<=> 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_44])],[avatar_definition]) ).
fof(f991,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| spl2_44 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f993,definition,
( spl2_45
<=> aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
fof(f995,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| spl2_45 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f997,definition,
( spl2_46
<=> aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
fof(f999,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| spl2_46 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f1000,plain,
( ~ spl2_44
| ~ spl2_45
| ~ spl2_46
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f987,f651,f997,f993,f989]) ).
fof(f1001,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_44 ),
inference(resolution,[],[f991,f157]) ).
fof(f1002,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_19
| spl2_44 ),
inference(forward_subsumption_resolution,[],[f1001,f652]) ).
fof(f1003,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_19
| spl2_44 ),
inference(forward_subsumption_resolution,[],[f1002,f214]) ).
fof(f1004,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(xN)
| ~ spl2_19
| spl2_44 ),
inference(forward_subsumption_resolution,[],[f1003,f215]) ).
fof(f1005,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ spl2_19
| spl2_44 ),
inference(forward_subsumption_resolution,[],[f1004,f212]) ).
fof(f1006,plain,
( ~ spl2_34
| ~ spl2_32
| ~ spl2_19
| spl2_44 ),
inference(avatar_split_clause,[],[f1005,f989,f651,f728,f736]) ).
fof(f4741,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| spl2_32 ),
inference(resolution,[],[f730,f133]) ).
fof(f4743,definition,
( spl2_572
<=> aScalar0(sdtasdt0(xS,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_572])],[avatar_definition]) ).
fof(f4745,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| spl2_572 ),
inference(avatar_component_clause,[],[f4743]) ).
fof(f4747,definition,
( spl2_573
<=> aScalar0(sdtasdt0(xR,xR)) ),
introduced(definition,[new_symbols(definition,[spl2_573])],[avatar_definition]) ).
fof(f4749,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| spl2_573 ),
inference(avatar_component_clause,[],[f4747]) ).
fof(f4750,plain,
( ~ spl2_572
| ~ spl2_573
| spl2_32 ),
inference(avatar_split_clause,[],[f4741,f728,f4747,f4743]) ).
fof(f14590,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| spl2_572 ),
inference(resolution,[],[f4745,f134]) ).
fof(f14591,plain,
( ~ aScalar0(xS)
| spl2_572 ),
inference(duplicate_literal_removal,[],[f14590]) ).
fof(f14592,plain,
( $false
| spl2_572 ),
inference(forward_subsumption_resolution,[],[f14591,f210]) ).
fof(f14593,plain,
spl2_572,
inference(avatar_contradiction_clause,[],[f14592]) ).
fof(f14934,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| spl2_573 ),
inference(resolution,[],[f4749,f134]) ).
fof(f14935,plain,
( ~ aScalar0(xR)
| spl2_573 ),
inference(duplicate_literal_removal,[],[f14934]) ).
fof(f14936,plain,
( $false
| spl2_573 ),
inference(forward_subsumption_resolution,[],[f14935,f206]) ).
fof(f14937,plain,
spl2_573,
inference(avatar_contradiction_clause,[],[f14936]) ).
fof(f15612,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| spl2_34 ),
inference(resolution,[],[f738,f133]) ).
fof(f15613,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_34 ),
inference(duplicate_literal_removal,[],[f15612]) ).
fof(f15614,plain,
( $false
| ~ spl2_19
| spl2_34 ),
inference(forward_subsumption_resolution,[],[f15613,f652]) ).
fof(f15615,plain,
( ~ spl2_19
| spl2_34 ),
inference(avatar_contradiction_clause,[],[f15614]) ).
fof(f15616,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(xN)
| spl2_46 ),
inference(resolution,[],[f999,f133]) ).
fof(f15617,plain,
( ~ aScalar0(xN)
| ~ spl2_32
| spl2_46 ),
inference(forward_subsumption_resolution,[],[f15616,f729]) ).
fof(f15618,plain,
( $false
| ~ spl2_32
| spl2_46 ),
inference(forward_subsumption_resolution,[],[f15617,f212]) ).
fof(f15619,plain,
( ~ spl2_32
| spl2_46 ),
inference(avatar_contradiction_clause,[],[f15618]) ).
fof(f15978,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP))
| spl2_45 ),
inference(resolution,[],[f995,f133]) ).
fof(f15979,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ spl2_19
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f15978,f652]) ).
fof(f15980,plain,
( ~ spl2_34
| ~ spl2_19
| spl2_45 ),
inference(avatar_split_clause,[],[f15979,f993,f651,f736]) ).
cnf(s42,plain,
spl2_19,
inference(sat_conversion,[],[f886]) ).
cnf(s47,plain,
( ~ spl2_19
| ~ spl2_44
| ~ spl2_45
| ~ spl2_46 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s48,plain,
( ~ spl2_19
| ~ spl2_32
| ~ spl2_34
| spl2_44 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s409,plain,
( spl2_32
| ~ spl2_572
| ~ spl2_573 ),
inference(sat_conversion,[],[f4750]) ).
cnf(s559,plain,
spl2_572,
inference(sat_conversion,[],[f14593]) ).
cnf(s573,plain,
spl2_573,
inference(sat_conversion,[],[f14937]) ).
cnf(s600,plain,
( ~ spl2_19
| spl2_34 ),
inference(sat_conversion,[],[f15615]) ).
cnf(s601,plain,
( ~ spl2_32
| spl2_46 ),
inference(sat_conversion,[],[f15619]) ).
cnf(s617,plain,
( ~ spl2_19
| ~ spl2_34
| spl2_45 ),
inference(sat_conversion,[],[f15980]) ).
cnf(s618,plain,
spl2_32,
inference(rat,[],[s409,s573,s559]) ).
cnf(s619,plain,
spl2_46,
inference(rat,[],[s601,s618]) ).
cnf(s643,plain,
( ~ spl2_19
| ~ spl2_34
| spl2_44 ),
inference(rat,[],[s48,s618]) ).
cnf(s644,plain,
( ~ spl2_19
| ~ spl2_44
| ~ spl2_45 ),
inference(rat,[],[s47,s619]) ).
cnf(s645,plain,
spl2_34,
inference(rat,[],[s600,s42]) ).
cnf(s646,plain,
spl2_45,
inference(rat,[],[s617,s42,s645]) ).
cnf(s647,plain,
spl2_44,
inference(rat,[],[s643,s42,s645]) ).
cnf(s648,plain,
$false,
inference(rat,[],[s644,s42,s646,s647]) ).
fof(f15981,plain,
$false,
inference(avatar_sat_refutation,[],[s648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG067+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n019.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 23:08:34 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.57/0.77 % (3509377)Will run a generic schedule for satisfiability detection.
% 1.57/0.77 % (3509386)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=72220559:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.57/0.77 % (3509383)% WARNING: option uhcvi not known.
% 1.57/0.77 % (3509382)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1963250038_2999 on theBenchmark for (2999ds/0Mi)
% 1.57/0.77 % (3509383)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2543215523:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.57/0.77 % (3509384)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2350052094:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.57/0.77 % (3509385)dis+10_1_sil=32000:sp=arity:random_seed=1255917529:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.57/0.77 % (3509387)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=812207636:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.57/0.77 % (3509388)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=165954708:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.57/0.77 % TRYING [1]
% 1.57/0.77 % TRYING [2]
% 1.57/0.77 % TRYING [3]
% 1.57/0.77 % TRYING [4]
% 1.57/0.77 % (3509386)Instruction limit reached!
% 1.57/0.77 % (3509386)------------------------------
% 1.57/0.77 % (3509386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.77 % (3509386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.77 % (3509386)CaDiCaL version: 2.1.3
% 1.57/0.77 % (3509386)Termination reason: Instruction limit
% 1.57/0.77 % (3509386)Termination phase: Saturation
% 1.57/0.77 % (3509386)Time elapsed: 0.037 s
% 1.57/0.77 % (3509386)Peak memory usage: 13 MB
% 1.57/0.77 % (3509386)Instructions burned: 117 (million)
% 1.57/0.77 % (3509396)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3733461755:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.57/0.77 % TRYING [1]
% 1.57/0.77 % TRYING [2]
% 1.57/0.77 % TRYING [3]
% 1.57/0.77 % TRYING [4]
% 1.57/0.77 % (3509385)Instruction limit reached!
% 1.57/0.77 % (3509385)------------------------------
% 1.57/0.77 % (3509385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.77 % (3509385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.77 % (3509385)CaDiCaL version: 2.1.3
% 1.57/0.77 % (3509385)Termination reason: Instruction limit
% 1.57/0.77 % (3509385)Termination phase: Saturation
% 1.57/0.77 % (3509385)Time elapsed: 0.064 s
% 1.57/0.77 % (3509385)Peak memory usage: 12 MB
% 1.57/0.77 % (3509385)Instructions burned: 104 (million)
% 1.57/0.77 % (3509387)Instruction limit reached!
% 1.57/0.77 % (3509387)------------------------------
% 1.57/0.77 % (3509387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.77 % (3509387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.77 % (3509387)CaDiCaL version: 2.1.3
% 1.57/0.77 % (3509387)Termination reason: Instruction limit
% 1.57/0.77 % (3509387)Termination phase: Saturation
% 1.57/0.77 % (3509387)Time elapsed: 0.067 s
% 1.57/0.77 % (3509387)Peak memory usage: 12 MB
% 1.57/0.77 % (3509387)Instructions burned: 132 (million)
% 1.57/0.77 % TRYING [5]
% 1.57/0.77 % (3509398)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4047531195:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.57/0.77 % (3509399)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3485332275:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.57/0.77 % TRYING [5]
% 1.57/0.77 % (3509388)Instruction limit reached!
% 1.57/0.77 % (3509388)------------------------------
% 1.57/0.77 % (3509388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.77 % (3509388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.77 % (3509388)CaDiCaL version: 2.1.3
% 1.57/0.77 % (3509388)Termination reason: Instruction limit
% 1.57/0.77 % (3509388)Termination phase: Saturation
% 1.57/0.77 % (3509388)Time elapsed: 0.100 s
% 1.57/0.77 % (3509388)Peak memory usage: 13 MB
% 1.57/0.77 % (3509388)Instructions burned: 159 (million)
% 1.57/0.77 % (3509402)ott-21_1_sil=16000:fs=off:random_seed=4026388939:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.57/0.77 % (3509398)Instruction limit reached!
% 1.57/0.77 % (3509398)------------------------------
% 1.57/0.77 % (3509398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.77 % (3509398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.77 % (3509398)CaDiCaL version: 2.1.3
% 1.57/0.77 % (3509398)Termination reason: Instruction limit
% 1.57/0.77 % (3509398)Termination phase: Saturation
% 1.57/0.77 % (3509398)Time elapsed: 0.060 s
% 1.57/0.77 % (3509398)Peak memory usage: 12 MB
% 1.57/0.77 % (3509398)Instructions burned: 131 (million)
% 1.57/0.77 % (3509404)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=191160257:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.57/0.77 % TRYING [6]
% 1.57/0.77 % (3509396)Instruction limit reached!
% 1.57/0.77 % (3509396)------------------------------
% 1.57/0.77 % (3509396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.77 % (3509396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.77 % (3509396)CaDiCaL version: 2.1.3
% 1.57/0.77 % (3509396)Termination reason: Instruction limit
% 1.57/0.77 % (3509396)Termination phase: Finite model building constraint generation
% 1.57/0.77 % (3509396)Time elapsed: 0.143 s
% 1.57/0.77 % (3509396)Peak memory usage: 37 MB
% 1.57/0.77 % (3509396)Instructions burned: 717 (million)
% 1.57/0.77 % (3509406)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2069084165:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.57/0.77 % TRYING [1]
% 1.57/0.77 % TRYING [2]
% 1.57/0.77 % (3509402)Instruction limit reached!
% 1.57/0.77 % (3509402)------------------------------
% 1.57/0.77 % (3509402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.77 % (3509402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.77 % (3509402)CaDiCaL version: 2.1.3
% 1.57/0.77 % (3509402)Termination reason: Instruction limit
% 1.57/0.77 % (3509402)Termination phase: Saturation
% 1.57/0.77 % (3509402)Time elapsed: 0.087 s
% 1.57/0.77 % (3509402)Peak memory usage: 13 MB
% 1.57/0.77 % (3509402)Instructions burned: 180 (million)
% 1.57/0.77 % TRYING [3]
% 1.57/0.77 % (3509408)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2314308817:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.57/0.77 % TRYING [6]
% 1.57/0.77 % TRYING [4]
% 1.57/0.77 % (3509383) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3509377-3509383"...
% 1.57/0.77 % (3509383)...printing done.
% 1.57/0.77 % (3509383)Refutation found. Thanks to Tanya!
% 1.57/0.77 % SZS status Theorem for theBenchmark
% 1.57/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.77 % (3509383)------------------------------
% 1.57/0.77 % (3509383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.77 % (3509383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.77 % (3509383)CaDiCaL version: 2.1.3
% 1.57/0.77 % (3509383)Termination reason: Refutation
% 1.57/0.77 % (3509383)Time elapsed: 0.291 s
% 1.57/0.77 % (3509383)Peak memory usage: 20 MB
% 1.57/0.77 % (3509383)Instructions burned: 560 (million)
% 1.57/0.77 % (3509377)Success in time 0.339 s
% 1.57/0.77 % Vampire exiting
%------------------------------------------------------------------------------