%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM525+1 : 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 : n008.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 12:24:40 PM UTC 2026
% Result : Theorem 19.71s 7.58s
% Output : Refutation 19.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 18
% Syntax : Number of formulae : 140 ( 61 unt; 5 def)
% Number of atoms : 377 ( 143 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 416 ( 179 ~; 187 |; 34 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 114 ( 109 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
fof(f44,axiom,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
fof(f46,conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(flattening,[],[f47]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f60,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f63,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f97,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f98,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f99]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f109]) ).
fof(f124,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f98]) ).
fof(f125,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f100]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f127]) ).
fof(f136,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f143,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f145,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f183,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f184,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f185,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f186,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f203,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f206,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f207,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f208,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f210,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f212,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f214,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f215,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(cnf_transformation,[],[f50]) ).
fof(f222,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f183]) ).
fof(f223,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f186]) ).
fof(f224,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f185]) ).
fof(f225,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f228,definition,
sF4 = sdtasdt0(xm,xm),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f229,plain,
sdtasdt0(xm,xm) = sF4,
inference(reorient_equations,[],[f228]) ).
fof(f230,definition,
sF5 = sdtasdt0(xp,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f231,plain,
sdtasdt0(xp,sF4) = sF5,
inference(reorient_equations,[],[f230]) ).
fof(f232,definition,
sF6 = sdtasdt0(xq,xq),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f233,plain,
sdtasdt0(xq,xq) = sF6,
inference(reorient_equations,[],[f232]) ).
fof(f234,definition,
sF7 = sdtasdt0(xp,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f235,plain,
sdtasdt0(xp,sF6) = sF7,
inference(reorient_equations,[],[f234]) ).
fof(f236,definition,
sF8 = sdtasdt0(xp,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f237,plain,
sdtasdt0(xp,sF7) = sF8,
inference(reorient_equations,[],[f236]) ).
fof(f238,plain,
sF5 != sF8,
inference(definition_folding,[],[f215,f237,f235,f233,f231,f229]) ).
fof(f288,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f138,f229]) ).
fof(f290,plain,
( aNaturalNumber0(sF7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF6) ),
inference(superposition,[],[f138,f235]) ).
fof(f292,plain,
( aNaturalNumber0(sF6)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[],[f138,f233]) ).
fof(f293,plain,
( ~ aNaturalNumber0(xq)
| aNaturalNumber0(sF6) ),
inference(duplicate_literal_removal,[],[f292]) ).
fof(f294,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xm) ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f296,plain,
( ~ aNaturalNumber0(sF6)
| aNaturalNumber0(sF7) ),
inference(forward_subsumption_resolution,[],[f290,f206]) ).
fof(f298,plain,
aNaturalNumber0(sF4),
inference(forward_subsumption_resolution,[],[f294,f207]) ).
fof(f302,plain,
sF4 = sdtasdt0(sz10,sF4),
inference(resolution,[],[f298,f145]) ).
fof(f305,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sF4),
inference(superposition,[],[f210,f229]) ).
fof(f306,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(superposition,[],[f138,f210]) ).
fof(f307,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(forward_subsumption_resolution,[],[f306,f206]) ).
fof(f308,plain,
sdtasdt0(xn,xn) = sF5,
inference(forward_demodulation,[],[f305,f231]) ).
fof(f309,plain,
( ~ aNaturalNumber0(sF4)
| aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_demodulation,[],[f307,f229]) ).
fof(f310,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[],[f309,f298]) ).
fof(f311,plain,
aNaturalNumber0(sF5),
inference(forward_demodulation,[],[f310,f308]) ).
fof(f333,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f143,f208]) ).
fof(f335,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) ),
inference(resolution,[],[f143,f206]) ).
fof(f537,plain,
( doDivides0(xp,sF5)
| ~ aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF5) ),
inference(superposition,[],[f222,f231]) ).
fof(f555,plain,
( doDivides0(xp,sF5)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF5) ),
inference(forward_subsumption_resolution,[],[f537,f298]) ).
fof(f568,plain,
( doDivides0(xp,sF5)
| ~ aNaturalNumber0(sF5) ),
inference(forward_subsumption_resolution,[],[f555,f206]) ).
fof(f578,plain,
doDivides0(xp,sF5),
inference(forward_subsumption_resolution,[],[f568,f311]) ).
fof(f722,plain,
( aNaturalNumber0(xq)
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f224,f214]) ).
fof(f723,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f722,f203]) ).
fof(f724,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f723,f212]) ).
fof(f725,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f724,f206]) ).
fof(f726,plain,
aNaturalNumber0(xq),
inference(forward_subsumption_resolution,[],[f725,f208]) ).
fof(f727,plain,
aNaturalNumber0(sF6),
inference(resolution,[],[f726,f293]) ).
fof(f732,plain,
xq = sdtasdt0(sz10,xq),
inference(resolution,[],[f726,f145]) ).
fof(f766,plain,
aNaturalNumber0(sF7),
inference(resolution,[],[f727,f296]) ).
fof(f1002,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn)) ),
inference(resolution,[],[f144,f208]) ).
fof(f1004,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp)) ),
inference(resolution,[],[f144,f206]) ).
fof(f1083,plain,
( sz00 = xp
| xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f225,f212]) ).
fof(f1100,plain,
( xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1083,f203]) ).
fof(f1112,plain,
( xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1100,f206]) ).
fof(f1121,plain,
xn = sdtasdt0(xp,sdtsldt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f1112,f208]) ).
fof(f1127,plain,
xn = sdtasdt0(xp,xq),
inference(forward_demodulation,[],[f1121,f214]) ).
fof(f2070,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xp
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f191,f212]) ).
fof(f2087,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f2070,f203]) ).
fof(f2103,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f2087,f206]) ).
fof(f2116,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f2103,f208]) ).
fof(f2126,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xq) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_demodulation,[],[f2116,f214]) ).
fof(f2166,plain,
( ~ doDivides0(xp,sF5)
| ~ aNaturalNumber0(sF4)
| sz00 = xp
| sF4 = sdtsldt0(sF5,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF5) ),
inference(superposition,[],[f223,f231]) ).
fof(f2186,plain,
( ~ aNaturalNumber0(sF4)
| sz00 = xp
| sF4 = sdtsldt0(sF5,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF5) ),
inference(forward_subsumption_resolution,[],[f2166,f578]) ).
fof(f2203,plain,
( sz00 = xp
| sF4 = sdtsldt0(sF5,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF5) ),
inference(forward_subsumption_resolution,[],[f2186,f298]) ).
fof(f2219,plain,
( sF4 = sdtsldt0(sF5,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF5) ),
inference(forward_subsumption_resolution,[],[f2203,f203]) ).
fof(f2234,plain,
( sF4 = sdtsldt0(sF5,xp)
| ~ aNaturalNumber0(sF5) ),
inference(forward_subsumption_resolution,[],[f2219,f206]) ).
fof(f2249,plain,
sF4 = sdtsldt0(sF5,xp),
inference(forward_subsumption_resolution,[],[f2234,f311]) ).
fof(f3285,plain,
sdtasdt0(xq,xn) = sdtasdt0(xn,xq),
inference(resolution,[],[f333,f726]) ).
fof(f3405,plain,
sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
inference(resolution,[],[f335,f726]) ).
fof(f3410,plain,
sdtasdt0(xp,sF4) = sdtasdt0(sF4,xp),
inference(resolution,[],[f335,f298]) ).
fof(f3412,plain,
sdtasdt0(xp,sF6) = sdtasdt0(sF6,xp),
inference(resolution,[],[f335,f727]) ).
fof(f3413,plain,
sdtasdt0(xp,sF7) = sdtasdt0(sF7,xp),
inference(resolution,[],[f335,f766]) ).
fof(f3415,plain,
sF8 = sdtasdt0(sF7,xp),
inference(forward_demodulation,[],[f3413,f237]) ).
fof(f3416,plain,
sF7 = sdtasdt0(sF6,xp),
inference(forward_demodulation,[],[f3412,f235]) ).
fof(f3417,plain,
sF5 = sdtasdt0(sF4,xp),
inference(forward_demodulation,[],[f3410,f231]) ).
fof(f3418,plain,
xn = sdtasdt0(xq,xp),
inference(forward_demodulation,[],[f3405,f1127]) ).
fof(f4107,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xn,xq),
inference(resolution,[],[f2126,f208]) ).
fof(f4128,plain,
sdtsldt0(sF5,xp) = sdtasdt0(xn,xq),
inference(forward_demodulation,[],[f4107,f308]) ).
fof(f4132,plain,
sF4 = sdtasdt0(xn,xq),
inference(forward_demodulation,[],[f4128,f2249]) ).
fof(f6830,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xq),xn) = sdtasdt0(X0,sdtasdt0(xq,xn)) ),
inference(resolution,[],[f1002,f726]) ).
fof(f6845,plain,
! [X0] :
( sdtasdt0(sdtasdt0(X0,xq),xn) = sdtasdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f6830,f3285]) ).
fof(f6850,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF4) = sdtasdt0(sdtasdt0(X0,xq),xn) ),
inference(forward_demodulation,[],[f6845,f4132]) ).
fof(f6966,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xq),xp) = sdtasdt0(X0,sdtasdt0(xq,xp)) ),
inference(resolution,[],[f1004,f726]) ).
fof(f6981,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,xq),xp) ),
inference(forward_demodulation,[],[f6966,f3418]) ).
fof(f60448,plain,
sdtasdt0(sz10,sF4) = sdtasdt0(sdtasdt0(sz10,xq),xn),
inference(resolution,[],[f6850,f136]) ).
fof(f60474,plain,
sdtasdt0(sz10,sF4) = sdtasdt0(xq,xn),
inference(forward_demodulation,[],[f60448,f732]) ).
fof(f60482,plain,
sF4 = sdtasdt0(xq,xn),
inference(forward_demodulation,[],[f60474,f302]) ).
fof(f60665,plain,
sdtasdt0(xq,xn) = sdtasdt0(sdtasdt0(xq,xq),xp),
inference(resolution,[],[f6981,f726]) ).
fof(f60680,plain,
sdtasdt0(xq,xn) = sdtasdt0(sF6,xp),
inference(forward_demodulation,[],[f60665,f233]) ).
fof(f60691,plain,
sF7 = sdtasdt0(xq,xn),
inference(forward_demodulation,[],[f60680,f3416]) ).
fof(f60697,plain,
sF4 = sF7,
inference(forward_demodulation,[],[f60691,f60482]) ).
fof(f60726,plain,
sF8 = sdtasdt0(sF4,xp),
inference(superposition,[],[f3415,f60697]) ).
fof(f60780,plain,
sF5 = sF8,
inference(forward_demodulation,[],[f60726,f3417]) ).
fof(f60786,plain,
$false,
inference(forward_subsumption_resolution,[],[f60780,f238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM525+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:20:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.40 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
% 15.57/2.65 % (1573590)Will run a generic schedule for satisfiability detection.
% 15.57/2.65 % (1573595)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=682880171_2999 on theBenchmark for (2999ds/0Mi)
% 15.57/2.65 % TRYING [1]
% 15.57/2.65 % TRYING [2]
% 15.57/2.65 % TRYING [3]
% 15.57/2.65 % (1573598)dis+10_1_sil=32000:sp=arity:random_seed=1203074337:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.57/2.65 % (1573597)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1613380043:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.57/2.65 % (1573599)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1573846705:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.57/2.65 % (1573600)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3353873641:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.57/2.65 % (1573601)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3442228017:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.57/2.65 % TRYING [4]
% 15.57/2.65 % (1573596)% WARNING: option uhcvi not known.
% 15.57/2.65 % (1573596)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2967418564:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.57/2.65 % TRYING [5]
% 15.57/2.65 % TRYING [6]
% 15.57/2.65 % (1573598)Instruction limit reached!
% 15.57/2.65 % (1573598)------------------------------
% 15.57/2.65 % (1573598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.65 % (1573598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.65 % (1573598)CaDiCaL version: 2.1.3
% 15.57/2.65 % (1573598)Termination reason: Instruction limit
% 15.57/2.65 % (1573598)Termination phase: Saturation
% 15.57/2.65 % (1573598)Time elapsed: 0.059 s
% 15.57/2.65 % (1573598)Peak memory usage: 12 MB
% 15.57/2.65 % (1573598)Instructions burned: 103 (million)
% 15.57/2.65 % (1573599)Instruction limit reached!
% 15.57/2.65 % (1573599)------------------------------
% 15.57/2.65 % (1573599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.65 % (1573599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.65 % (1573599)CaDiCaL version: 2.1.3
% 15.57/2.65 % (1573599)Termination reason: Instruction limit
% 15.57/2.65 % (1573599)Termination phase: Saturation
% 15.57/2.65 % (1573599)Time elapsed: 0.065 s
% 15.57/2.65 % (1573599)Peak memory usage: 13 MB
% 15.57/2.65 % (1573599)Instructions burned: 116 (million)
% 15.57/2.65 % (1573600)Instruction limit reached!
% 15.57/2.65 % (1573600)------------------------------
% 15.57/2.65 % (1573600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.65 % (1573600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.65 % (1573600)CaDiCaL version: 2.1.3
% 15.57/2.65 % (1573600)Termination reason: Instruction limit
% 15.57/2.65 % (1573600)Termination phase: Saturation
% 15.57/2.65 % (1573600)Time elapsed: 0.075 s
% 15.57/2.65 % (1573600)Peak memory usage: 13 MB
% 15.57/2.65 % (1573600)Instructions burned: 131 (million)
% 15.57/2.65 % (1573609)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=561519238:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.57/2.65 % TRYING [1]
% 15.57/2.65 % (1573610)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3993740064:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.57/2.65 % TRYING [2]
% 15.57/2.65 % TRYING [3]
% 15.57/2.65 % (1573611)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=2661711606:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.57/2.65 % TRYING [4]
% 15.57/2.65 % (1573601)Instruction limit reached!
% 15.57/2.65 % (1573601)------------------------------
% 15.57/2.65 % (1573601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.57/2.65 % (1573601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/2.65 % (1573601)CaDiCaL version: 2.1.3
% 15.57/2.65 % (1573601)Termination reason: Instruction limit
% 15.57/2.65 % (1573601)Termination phase: Saturation
% 15.57/2.65 % (1573601)Time elapsed: 0.096 s
% 15.57/2.65 % (1573601)Peak memory usage: 14 MB
% 15.57/2.65 % (1573601)Instructions burned: 159 (million)
% 15.57/2.65 % (1573615)ott-21_1_sil=16000:fs=off:random_seed=1644530683:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.57/2.65 % TRYING [5]
% 15.57/2.65 % (1573610)Instruction limit reached!
% 15.57/2.65 % (1573610)------------------------------
% 15.57/2.65 % (1573610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.07/7.03 % (1573610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.07/7.03 % (1573610)CaDiCaL version: 2.1.3
% 46.07/7.03 % (1573610)Termination reason: Instruction limit
% 46.07/7.03 % (1573610)Termination phase: Saturation
% 46.07/7.03 % (1573610)Time elapsed: 0.069 s
% 46.07/7.03 % (1573610)Peak memory usage: 12 MB
% 46.07/7.03 % (1573610)Instructions burned: 132 (million)
% 46.07/7.03 % TRYING [7]
% 46.07/7.03 % (1573617)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3727522062:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 46.07/7.03 % TRYING [6]
% 46.07/7.03 % (1573615)Instruction limit reached!
% 46.07/7.03 % (1573615)------------------------------
% 46.07/7.03 % (1573615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.07/7.03 % (1573615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.07/7.03 % (1573615)CaDiCaL version: 2.1.3
% 46.07/7.03 % (1573615)Termination reason: Instruction limit
% 46.07/7.03 % (1573615)Termination phase: Saturation
% 46.07/7.03 % (1573615)Time elapsed: 0.094 s
% 46.07/7.03 % (1573615)Peak memory usage: 13 MB
% 46.07/7.03 % (1573615)Instructions burned: 182 (million)
% 46.07/7.03 % (1573619)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1493857028:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 46.07/7.03 % TRYING [1]
% 46.07/7.03 % TRYING [2]
% 46.07/7.03 % TRYING [3]
% 46.07/7.03 % TRYING [4]
% 46.07/7.03 % TRYING [5]
% 46.07/7.03 % (1573609)Instruction limit reached!
% 46.07/7.03 % (1573609)------------------------------
% 46.07/7.03 % (1573609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.07/7.03 % (1573609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.07/7.03 % (1573609)CaDiCaL version: 2.1.3
% 46.07/7.03 % (1573609)Termination reason: Instruction limit
% 46.07/7.03 % (1573609)Termination phase: Finite model building constraint generation
% 46.07/7.03 % (1573609)Time elapsed: 0.258 s
% 46.07/7.03 % (1573609)Peak memory usage: 34 MB
% 46.07/7.03 % (1573609)Instructions burned: 714 (million)
% 46.07/7.03 % (1573621)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3200583247:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 46.07/7.03 % TRYING [8]
% 46.07/7.03 % (1573611)Instruction limit reached!
% 46.07/7.03 % (1573611)------------------------------
% 46.07/7.03 % (1573611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.07/7.03 % (1573611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.07/7.03 % (1573611)CaDiCaL version: 2.1.3
% 46.07/7.03 % (1573611)Termination reason: Instruction limit
% 46.07/7.03 % (1573611)Termination phase: Saturation
% 46.07/7.03 % (1573611)Time elapsed: 0.391 s
% 46.07/7.03 % (1573611)Peak memory usage: 20 MB
% 46.07/7.03 % (1573611)Instructions burned: 685 (million)
% 46.07/7.03 % (1573617)Instruction limit reached!
% 46.07/7.03 % (1573617)------------------------------
% 46.07/7.03 % (1573617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.07/7.03 % (1573617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.07/7.03 % (1573617)CaDiCaL version: 2.1.3
% 46.07/7.03 % (1573617)Termination reason: Instruction limit
% 46.07/7.03 % (1573617)Termination phase: Saturation
% 46.07/7.03 % (1573617)Time elapsed: 0.322 s
% 46.07/7.03 % (1573617)Peak memory usage: 14 MB
% 46.07/7.03 % (1573617)Instructions burned: 478 (million)
% 46.07/7.03 % (1573623)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2956258266:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 46.07/7.03 % (1573624)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3948141597:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 46.07/7.03 % TRYING [6]
% 46.07/7.03 % (1573619)Instruction limit reached!
% 46.07/7.03 % (1573619)------------------------------
% 46.07/7.03 % (1573619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.07/7.03 % (1573619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.07/7.03 % (1573619)CaDiCaL version: 2.1.3
% 46.07/7.03 % (1573619)Termination reason: Instruction limit
% 46.07/7.03 % (1573619)Termination phase: Finite model building constraint generation
% 46.07/7.03 % (1573619)Time elapsed: 0.345 s
% 46.07/7.03 % (1573619)Peak memory usage: 22 MB
% 46.07/7.03 % (1573619)Instructions burned: 869 (million)
% 46.07/7.03 % (1573627)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2901170110:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 19.71/7.58 % TRYING [14]
% 19.71/7.58 % (1573623)Instruction limit reached!
% 19.71/7.58 % (1573623)------------------------------
% 19.71/7.58 % (1573623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573623)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573623)Termination reason: Instruction limit
% 19.71/7.58 % (1573623)Termination phase: Finite model building constraint generation
% 19.71/7.58 % (1573623)Time elapsed: 0.341 s
% 19.71/7.58 % (1573623)Peak memory usage: 80 MB
% 19.71/7.58 % (1573623)Instructions burned: 890 (million)
% 19.71/7.58 % (1573629)fmb+10_1_sil=64000:random_seed=1986852839:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 19.71/7.58 % TRYING [1]
% 19.71/7.58 % TRYING [2]
% 19.71/7.58 % TRYING [3]
% 19.71/7.58 % (1573624)Instruction limit reached!
% 19.71/7.58 % (1573624)------------------------------
% 19.71/7.58 % (1573624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573624)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573624)Termination reason: Instruction limit
% 19.71/7.58 % (1573624)Termination phase: Saturation
% 19.71/7.58 % (1573624)Time elapsed: 0.384 s
% 19.71/7.58 % (1573624)Peak memory usage: 23 MB
% 19.71/7.58 % (1573624)Instructions burned: 694 (million)
% 19.71/7.58 % TRYING [4]
% 19.71/7.58 % (1573631)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1097114328:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 19.71/7.58 % TRYING [9]
% 19.71/7.58 % TRYING [20]
% 19.71/7.58 % TRYING [5]
% 19.71/7.58 % (1573621)Instruction limit reached!
% 19.71/7.58 % (1573621)------------------------------
% 19.71/7.58 % (1573621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573621)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573621)Termination reason: Instruction limit
% 19.71/7.58 % (1573621)Termination phase: Saturation
% 19.71/7.58 % (1573621)Time elapsed: 0.655 s
% 19.71/7.58 % (1573621)Peak memory usage: 25 MB
% 19.71/7.58 % (1573621)Instructions burned: 1179 (million)
% 19.71/7.58 % (1573633)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2899861918:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 19.71/7.58 % TRYING [8]
% 19.71/7.58 % (1573627)Instruction limit reached!
% 19.71/7.58 % (1573627)------------------------------
% 19.71/7.58 % (1573627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573627)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573627)Termination reason: Instruction limit
% 19.71/7.58 % (1573627)Termination phase: Saturation
% 19.71/7.58 % (1573627)Time elapsed: 0.507 s
% 19.71/7.58 % (1573627)Peak memory usage: 21 MB
% 19.71/7.58 % (1573627)Instructions burned: 879 (million)
% 19.71/7.58 % (1573635)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2365928390:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 19.71/7.58 % TRYING [6]
% 19.71/7.58 % (1573633)Instruction limit reached!
% 19.71/7.58 % (1573633)------------------------------
% 19.71/7.58 % (1573633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573633)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573633)Termination reason: Instruction limit
% 19.71/7.58 % (1573633)Termination phase: Finite model building constraint generation
% 19.71/7.58 % (1573633)Time elapsed: 0.337 s
% 19.71/7.58 % (1573633)Peak memory usage: 66 MB
% 19.71/7.58 % (1573633)Instructions burned: 921 (million)
% 19.71/7.58 % (1573637)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2025352166:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 19.71/7.58 % TRYING [7]
% 19.71/7.58 % TRYING [10]
% 19.71/7.58 % (1573637)Instruction limit reached!
% 19.71/7.58 % (1573637)------------------------------
% 19.71/7.58 % (1573637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573637)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573637)Termination reason: Instruction limit
% 19.71/7.58 % (1573637)Termination phase: Saturation
% 19.71/7.58 % (1573637)Time elapsed: 0.790 s
% 19.71/7.58 % (1573637)Peak memory usage: 37 MB
% 19.71/7.58 % (1573637)Instructions burned: 1473 (million)
% 19.71/7.58 % (1573639)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2423450620:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 19.71/7.58 % TRYING [77]
% 19.71/7.58 % TRYING [8]
% 19.71/7.58 % TRYING [11]
% 19.71/7.58 % (1573635)Instruction limit reached!
% 19.71/7.58 % (1573635)------------------------------
% 19.71/7.58 % (1573635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573635)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573635)Termination reason: Instruction limit
% 19.71/7.58 % (1573635)Termination phase: Saturation
% 19.71/7.58 % (1573635)Time elapsed: 2.743 s
% 19.71/7.58 % (1573635)Peak memory usage: 46 MB
% 19.71/7.58 % (1573635)Instructions burned: 5133 (million)
% 19.71/7.58 % (1573641)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1909196874:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 19.71/7.58 % TRYING [16]
% 19.71/7.58 % (1573631)Instruction limit reached!
% 19.71/7.58 % (1573631)------------------------------
% 19.71/7.58 % (1573631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573631)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573631)Termination reason: Instruction limit
% 19.71/7.58 % (1573631)Termination phase: Finite model building constraint generation
% 19.71/7.58 % (1573631)Time elapsed: 3.283 s
% 19.71/7.58 % (1573631)Peak memory usage: 565 MB
% 19.71/7.58 % (1573631)Instructions burned: 9515 (million)
% 19.71/7.58 % (1573643)ott-2_1_sil=16000:newcnf=on:random_seed=4218300174:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 19.71/7.58 % (1573639)Instruction limit reached!
% 19.71/7.58 % (1573639)------------------------------
% 19.71/7.58 % (1573639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573639)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573639)Termination reason: Instruction limit
% 19.71/7.58 % (1573639)Termination phase: Finite model building constraint generation
% 19.71/7.58 % (1573639)Time elapsed: 2.313 s
% 19.71/7.58 % (1573639)Peak memory usage: 451 MB
% 19.71/7.58 % (1573639)Instructions burned: 6327 (million)
% 19.71/7.58 % (1573645)ott+10_1_sil=32000:tgt=ground:random_seed=2176108382:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 19.71/7.58 % (1573641)Instruction limit reached!
% 19.71/7.58 % (1573641)------------------------------
% 19.71/7.58 % (1573641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573641)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573641)Termination reason: Instruction limit
% 19.71/7.58 % (1573641)Termination phase: Finite model building constraint generation
% 19.71/7.58 % (1573641)Time elapsed: 0.756 s
% 19.71/7.58 % (1573641)Peak memory usage: 146 MB
% 19.71/7.58 % (1573641)Instructions burned: 2174 (million)
% 19.71/7.58 % (1573647)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2973518314:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 19.71/7.58 % TRYING [1]
% 19.71/7.58 % TRYING [2]
% 19.71/7.58 % TRYING [3]
% 19.71/7.58 % TRYING [4]
% 19.71/7.58 % TRYING [5]
% 19.71/7.58 % (1573643)Instruction limit reached!
% 19.71/7.58 % (1573643)------------------------------
% 19.71/7.58 % (1573643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573643)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573643)Termination reason: Instruction limit
% 19.71/7.58 % (1573643)Termination phase: Saturation
% 19.71/7.58 % (1573643)Time elapsed: 0.440 s
% 19.71/7.58 % (1573643)Peak memory usage: 23 MB
% 19.71/7.58 % (1573643)Instructions burned: 870 (million)
% 19.71/7.58 % (1573649)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3337780488:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 19.71/7.58 % TRYING [6]
% 19.71/7.58 % TRYING [7]
% 19.71/7.58 % TRYING [8]
% 19.71/7.58 % TRYING [9]
% 19.71/7.58 % TRYING [9]
% 19.71/7.58 % (1573649)Instruction limit reached!
% 19.71/7.58 % (1573649)------------------------------
% 19.71/7.58 % (1573649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573649)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573649)Termination reason: Instruction limit
% 19.71/7.58 % (1573649)Termination phase: Saturation
% 19.71/7.58 % (1573649)Time elapsed: 1.842 s
% 19.71/7.58 % (1573649)Peak memory usage: 41 MB
% 19.71/7.58 % (1573649)Instructions burned: 3513 (million)
% 19.71/7.58 % (1573651)dis+21_1_sil=32000:sas=cadical:random_seed=710367242:i=3773:amm=off_2933 on theBenchmark for (2933ds/3773Mi)
% 19.71/7.58 % (1573645) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1573590-1573645"...
% 19.71/7.58 % (1573645)...printing done.
% 19.71/7.58 % (1573645)Refutation found. Thanks to Tanya!
% 19.71/7.58 % SZS status Theorem for theBenchmark
% 19.71/7.58 % SZS output start Proof for theBenchmark
% See solution above
% 19.71/7.58 % (1573645)------------------------------
% 19.71/7.58 % (1573645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/7.58 % (1573645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/7.58 % (1573645)CaDiCaL version: 2.1.3
% 19.71/7.58 % (1573645)Termination reason: Refutation
% 19.71/7.58 % (1573645)Time elapsed: 2.450 s
% 19.71/7.58 % (1573645)Peak memory usage: 36 MB
% 19.71/7.58 % (1573645)Instructions burned: 4251 (million)
% 19.71/7.58 % (1573590)Success in time 7.174 s
% 19.71/7.58 % Vampire exiting
%------------------------------------------------------------------------------