%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM524+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 12:24:39 PM UTC 2026
% Result : Theorem 46.71s 7.08s
% Output : Refutation 46.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 114 ( 47 unt; 3 def)
% Number of atoms : 303 ( 121 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 335 ( 146 ~; 153 |; 24 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 89 ( 89 !; 0 ?)
% 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(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(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,plain,
sdtasdt0(xm,xm) != 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(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(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(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(f213,plain,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(cnf_transformation,[],[f44]) ).
fof(f214,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f215,plain,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f50]) ).
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(xq,xq),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f231,plain,
sdtasdt0(xq,xq) = sF5,
inference(reorient_equations,[],[f230]) ).
fof(f232,definition,
sF6 = sdtasdt0(xp,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f233,plain,
sdtasdt0(xp,sF5) = sF6,
inference(reorient_equations,[],[f232]) ).
fof(f234,plain,
sF4 != sF6,
inference(definition_folding,[],[f215,f233,f231,f229]) ).
fof(f284,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f138,f229]) ).
fof(f285,plain,
( aNaturalNumber0(sF5)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[],[f138,f231]) ).
fof(f287,plain,
( ~ aNaturalNumber0(xq)
| aNaturalNumber0(sF5) ),
inference(duplicate_literal_removal,[],[f285]) ).
fof(f288,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xm) ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f290,plain,
aNaturalNumber0(sF4),
inference(forward_subsumption_resolution,[],[f288,f207]) ).
fof(f294,plain,
sF4 = sdtasdt0(sz10,sF4),
inference(resolution,[],[f290,f145]) ).
fof(f298,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(superposition,[],[f138,f210]) ).
fof(f299,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(forward_subsumption_resolution,[],[f298,f206]) ).
fof(f300,plain,
( ~ aNaturalNumber0(sF4)
| aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_demodulation,[],[f299,f229]) ).
fof(f301,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[],[f300,f290]) ).
fof(f324,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f143,f208]) ).
fof(f326,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) ),
inference(resolution,[],[f143,f206]) ).
fof(f708,plain,
( aNaturalNumber0(xq)
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f224,f214]) ).
fof(f709,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f708,f203]) ).
fof(f710,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f709,f212]) ).
fof(f711,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f710,f206]) ).
fof(f712,plain,
aNaturalNumber0(xq),
inference(forward_subsumption_resolution,[],[f711,f208]) ).
fof(f713,plain,
aNaturalNumber0(sF5),
inference(resolution,[],[f712,f287]) ).
fof(f718,plain,
xq = sdtasdt0(sz10,xq),
inference(resolution,[],[f712,f145]) ).
fof(f987,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn)) ),
inference(resolution,[],[f144,f208]) ).
fof(f989,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp)) ),
inference(resolution,[],[f144,f206]) ).
fof(f1049,plain,
( sz00 = xp
| xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f225,f212]) ).
fof(f1066,plain,
( xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1049,f203]) ).
fof(f1078,plain,
( xn = sdtasdt0(xp,sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1066,f206]) ).
fof(f1087,plain,
xn = sdtasdt0(xp,sdtsldt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f1078,f208]) ).
fof(f1093,plain,
xn = sdtasdt0(xp,xq),
inference(forward_demodulation,[],[f1087,f214]) ).
fof(f2030,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(f2047,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f2030,f203]) ).
fof(f2062,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f2047,f206]) ).
fof(f2074,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f2062,f208]) ).
fof(f2084,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xq) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_demodulation,[],[f2074,f214]) ).
fof(f2144,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[],[f223,f210]) ).
fof(f2162,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[],[f2144,f213]) ).
fof(f2176,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[],[f2162,f203]) ).
fof(f2189,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[],[f2176,f206]) ).
fof(f2201,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp) ),
inference(forward_subsumption_resolution,[],[f2189,f301]) ).
fof(f2213,plain,
( ~ aNaturalNumber0(sF4)
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp) ),
inference(forward_demodulation,[],[f2201,f229]) ).
fof(f2214,plain,
sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xn,xn),xp),
inference(forward_subsumption_resolution,[],[f2213,f290]) ).
fof(f2215,plain,
sF4 = sdtsldt0(sdtasdt0(xn,xn),xp),
inference(forward_demodulation,[],[f2214,f229]) ).
fof(f3007,plain,
sdtasdt0(xq,xn) = sdtasdt0(xn,xq),
inference(resolution,[],[f324,f712]) ).
fof(f3153,plain,
sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
inference(resolution,[],[f326,f712]) ).
fof(f3159,plain,
sdtasdt0(xp,sF5) = sdtasdt0(sF5,xp),
inference(resolution,[],[f326,f713]) ).
fof(f3161,plain,
sF6 = sdtasdt0(sF5,xp),
inference(forward_demodulation,[],[f3159,f233]) ).
fof(f3163,plain,
xn = sdtasdt0(xq,xp),
inference(forward_demodulation,[],[f3153,f1093]) ).
fof(f3628,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xn,xq),
inference(resolution,[],[f2084,f208]) ).
fof(f3645,plain,
sF4 = sdtasdt0(xn,xq),
inference(forward_demodulation,[],[f3628,f2215]) ).
fof(f6229,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xq),xn) = sdtasdt0(X0,sdtasdt0(xq,xn)) ),
inference(resolution,[],[f987,f712]) ).
fof(f6240,plain,
! [X0] :
( sdtasdt0(sdtasdt0(X0,xq),xn) = sdtasdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f6229,f3007]) ).
fof(f6246,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF4) = sdtasdt0(sdtasdt0(X0,xq),xn) ),
inference(forward_demodulation,[],[f6240,f3645]) ).
fof(f6312,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xq),xp) = sdtasdt0(X0,sdtasdt0(xq,xp)) ),
inference(resolution,[],[f989,f712]) ).
fof(f6323,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(sdtasdt0(X0,xq),xp) ),
inference(forward_demodulation,[],[f6312,f3163]) ).
fof(f49965,plain,
sdtasdt0(sz10,sF4) = sdtasdt0(sdtasdt0(sz10,xq),xn),
inference(resolution,[],[f6246,f136]) ).
fof(f49989,plain,
sdtasdt0(sz10,sF4) = sdtasdt0(xq,xn),
inference(forward_demodulation,[],[f49965,f718]) ).
fof(f49995,plain,
sF4 = sdtasdt0(xq,xn),
inference(forward_demodulation,[],[f49989,f294]) ).
fof(f50197,plain,
sdtasdt0(xq,xn) = sdtasdt0(sdtasdt0(xq,xq),xp),
inference(resolution,[],[f6323,f712]) ).
fof(f50208,plain,
sdtasdt0(xq,xn) = sdtasdt0(sF5,xp),
inference(forward_demodulation,[],[f50197,f231]) ).
fof(f50218,plain,
sF6 = sdtasdt0(xq,xn),
inference(forward_demodulation,[],[f50208,f3161]) ).
fof(f50223,plain,
sF4 = sF6,
inference(forward_demodulation,[],[f50218,f49995]) ).
fof(f50224,plain,
$false,
inference(forward_subsumption_resolution,[],[f50223,f234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM524+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n008.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 20:21:10 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 15.29/2.60 % (1574032)Will run a generic schedule for satisfiability detection.
% 15.29/2.60 % (1574042)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1381060347:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.29/2.60 % (1574038)% WARNING: option uhcvi not known.
% 15.29/2.60 % (1574037)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3022149770_2999 on theBenchmark for (2999ds/0Mi)
% 15.29/2.60 % (1574038)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3433917619:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.29/2.60 % (1574039)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2587437424:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.29/2.60 % (1574043)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2145084371:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.29/2.60 % (1574040)dis+10_1_sil=32000:sp=arity:random_seed=3152919332:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.29/2.60 % (1574041)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2211619996:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.29/2.60 % TRYING [1]
% 15.29/2.60 % TRYING [2]
% 15.29/2.60 % TRYING [3]
% 15.29/2.60 % TRYING [4]
% 15.29/2.60 % (1574042)Instruction limit reached!
% 15.29/2.60 % (1574042)------------------------------
% 15.29/2.60 % (1574042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.29/2.60 % (1574042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.29/2.60 % (1574042)CaDiCaL version: 2.1.3
% 15.29/2.60 % (1574042)Termination reason: Instruction limit
% 15.29/2.60 % (1574042)Termination phase: Saturation
% 15.29/2.60 % (1574042)Time elapsed: 0.042 s
% 15.29/2.60 % (1574042)Peak memory usage: 13 MB
% 15.29/2.60 % (1574042)Instructions burned: 134 (million)
% 15.29/2.60 % TRYING [5]
% 15.29/2.60 % (1574051)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2167272328:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.29/2.60 % TRYING [1]
% 15.29/2.60 % TRYING [2]
% 15.29/2.60 % TRYING [3]
% 15.29/2.60 % TRYING [4]
% 15.29/2.60 % (1574040)Instruction limit reached!
% 15.29/2.60 % (1574040)------------------------------
% 15.29/2.60 % (1574040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.29/2.60 % (1574040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.29/2.60 % (1574040)CaDiCaL version: 2.1.3
% 15.29/2.60 % (1574040)Termination reason: Instruction limit
% 15.29/2.60 % (1574040)Termination phase: Saturation
% 15.29/2.60 % (1574040)Time elapsed: 0.060 s
% 15.29/2.60 % (1574040)Peak memory usage: 12 MB
% 15.29/2.60 % (1574040)Instructions burned: 103 (million)
% 15.29/2.60 % (1574041)Instruction limit reached!
% 15.29/2.60 % (1574041)------------------------------
% 15.29/2.60 % (1574041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.29/2.60 % (1574041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.29/2.60 % (1574041)CaDiCaL version: 2.1.3
% 15.29/2.60 % (1574041)Termination reason: Instruction limit
% 15.29/2.60 % (1574041)Termination phase: Saturation
% 15.29/2.60 % (1574041)Time elapsed: 0.066 s
% 15.29/2.60 % (1574041)Peak memory usage: 13 MB
% 15.29/2.60 % (1574041)Instructions burned: 117 (million)
% 15.29/2.60 % TRYING [5]
% 15.29/2.60 % (1574053)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1168347178:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.29/2.60 % (1574054)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=574864597:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.29/2.60 % TRYING [6]
% 15.29/2.60 % TRYING [6]
% 15.29/2.60 % (1574043)Instruction limit reached!
% 15.29/2.60 % (1574043)------------------------------
% 15.29/2.60 % (1574043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.29/2.60 % (1574043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.29/2.60 % (1574043)CaDiCaL version: 2.1.3
% 15.29/2.60 % (1574043)Termination reason: Instruction limit
% 15.29/2.60 % (1574043)Termination phase: Saturation
% 15.29/2.60 % (1574043)Time elapsed: 0.121 s
% 15.29/2.60 % (1574043)Peak memory usage: 15 MB
% 15.29/2.60 % (1574043)Instructions burned: 159 (million)
% 15.29/2.60 % (1574057)ott-21_1_sil=16000:fs=off:random_seed=3705614488:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.29/2.60 % (1574053)Instruction limit reached!
% 15.29/2.60 % (1574053)------------------------------
% 15.29/2.60 % (1574053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.82 % (1574053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.82 % (1574053)CaDiCaL version: 2.1.3
% 36.63/5.82 % (1574053)Termination reason: Instruction limit
% 36.63/5.82 % (1574053)Termination phase: Saturation
% 36.63/5.82 % (1574053)Time elapsed: 0.071 s
% 36.63/5.82 % (1574053)Peak memory usage: 12 MB
% 36.63/5.82 % (1574053)Instructions burned: 132 (million)
% 36.63/5.82 % (1574059)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=992427463:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 36.63/5.82 % (1574051)Instruction limit reached!
% 36.63/5.82 % (1574051)------------------------------
% 36.63/5.82 % (1574051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.82 % (1574051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.82 % (1574051)CaDiCaL version: 2.1.3
% 36.63/5.82 % (1574051)Termination reason: Instruction limit
% 36.63/5.82 % (1574051)Termination phase: Finite model building constraint generation
% 36.63/5.82 % (1574051)Time elapsed: 0.140 s
% 36.63/5.82 % (1574051)Peak memory usage: 34 MB
% 36.63/5.82 % (1574051)Instructions burned: 715 (million)
% 36.63/5.82 % (1574061)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=229270160:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 36.63/5.82 % TRYING [1]
% 36.63/5.82 % TRYING [2]
% 36.63/5.82 % TRYING [3]
% 36.63/5.82 % TRYING [4]
% 36.63/5.82 % (1574057)Instruction limit reached!
% 36.63/5.82 % (1574057)------------------------------
% 36.63/5.82 % (1574057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.82 % (1574057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.82 % (1574057)CaDiCaL version: 2.1.3
% 36.63/5.82 % (1574057)Termination reason: Instruction limit
% 36.63/5.82 % (1574057)Termination phase: Saturation
% 36.63/5.82 % (1574057)Time elapsed: 0.095 s
% 36.63/5.82 % (1574057)Peak memory usage: 13 MB
% 36.63/5.82 % (1574057)Instructions burned: 182 (million)
% 36.63/5.82 % (1574063)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=799313575:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 36.63/5.82 % TRYING [5]
% 36.63/5.82 % TRYING [7]
% 36.63/5.82 % TRYING [6]
% 36.63/5.82 % (1574061)Instruction limit reached!
% 36.63/5.82 % (1574061)------------------------------
% 36.63/5.82 % (1574061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.82 % (1574061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.82 % (1574061)CaDiCaL version: 2.1.3
% 36.63/5.82 % (1574061)Termination reason: Instruction limit
% 36.63/5.82 % (1574061)Termination phase: Finite model building constraint generation
% 36.63/5.82 % (1574061)Time elapsed: 0.187 s
% 36.63/5.82 % (1574061)Peak memory usage: 22 MB
% 36.63/5.82 % (1574061)Instructions burned: 871 (million)
% 36.63/5.82 % (1574065)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2181186926:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 36.63/5.82 % (1574054)Instruction limit reached!
% 36.63/5.82 % (1574054)------------------------------
% 36.63/5.82 % (1574054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.82 % (1574054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.82 % (1574054)CaDiCaL version: 2.1.3
% 36.63/5.82 % (1574054)Termination reason: Instruction limit
% 36.63/5.82 % (1574054)Termination phase: Saturation
% 36.63/5.82 % (1574054)Time elapsed: 0.387 s
% 36.63/5.82 % (1574054)Peak memory usage: 20 MB
% 36.63/5.82 % (1574054)Instructions burned: 684 (million)
% 36.63/5.82 % (1574059)Instruction limit reached!
% 36.63/5.82 % (1574059)------------------------------
% 36.63/5.82 % (1574059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.82 % (1574059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.82 % (1574059)CaDiCaL version: 2.1.3
% 36.63/5.82 % (1574059)Termination reason: Instruction limit
% 36.63/5.82 % (1574059)Termination phase: Saturation
% 36.63/5.82 % (1574059)Time elapsed: 0.320 s
% 36.63/5.82 % (1574059)Peak memory usage: 15 MB
% 36.63/5.82 % (1574059)Instructions burned: 478 (million)
% 36.63/5.82 % TRYING [14]
% 36.63/5.82 % (1574067)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=3197613540: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)
% 36.63/5.82 % (1574068)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3928988044:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 46.71/7.08 % (1574065)Instruction limit reached!
% 46.71/7.08 % (1574065)------------------------------
% 46.71/7.08 % (1574065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574065)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574065)Termination reason: Instruction limit
% 46.71/7.08 % (1574065)Termination phase: Finite model building constraint generation
% 46.71/7.08 % (1574065)Time elapsed: 0.188 s
% 46.71/7.08 % (1574065)Peak memory usage: 79 MB
% 46.71/7.08 % (1574065)Instructions burned: 892 (million)
% 46.71/7.08 % (1574071)fmb+10_1_sil=64000:random_seed=3783294335:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 46.71/7.08 % TRYING [1]
% 46.71/7.08 % TRYING [2]
% 46.71/7.08 % TRYING [3]
% 46.71/7.08 % TRYING [4]
% 46.71/7.08 % TRYING [5]
% 46.71/7.08 % TRYING [8]
% 46.71/7.08 % TRYING [6]
% 46.71/7.08 % (1574067)Instruction limit reached!
% 46.71/7.08 % (1574067)------------------------------
% 46.71/7.08 % (1574067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574067)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574067)Termination reason: Instruction limit
% 46.71/7.08 % (1574067)Termination phase: Saturation
% 46.71/7.08 % (1574067)Time elapsed: 0.372 s
% 46.71/7.08 % (1574067)Peak memory usage: 20 MB
% 46.71/7.08 % (1574067)Instructions burned: 694 (million)
% 46.71/7.08 % (1574073)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=649332050:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 46.71/7.08 % TRYING [20]
% 46.71/7.08 % (1574063)Instruction limit reached!
% 46.71/7.08 % (1574063)------------------------------
% 46.71/7.08 % (1574063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574063)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574063)Termination reason: Instruction limit
% 46.71/7.08 % (1574063)Termination phase: Saturation
% 46.71/7.08 % (1574063)Time elapsed: 0.648 s
% 46.71/7.08 % (1574063)Peak memory usage: 24 MB
% 46.71/7.08 % (1574063)Instructions burned: 1179 (million)
% 46.71/7.08 % (1574075)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=27949760:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 46.71/7.08 % TRYING [8]
% 46.71/7.08 % (1574068)Instruction limit reached!
% 46.71/7.08 % (1574068)------------------------------
% 46.71/7.08 % (1574068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574068)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574068)Termination reason: Instruction limit
% 46.71/7.08 % (1574068)Termination phase: Saturation
% 46.71/7.08 % (1574068)Time elapsed: 0.496 s
% 46.71/7.08 % (1574068)Peak memory usage: 20 MB
% 46.71/7.08 % (1574068)Instructions burned: 881 (million)
% 46.71/7.08 % (1574077)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2462009059:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 46.71/7.08 % TRYING [7]
% 46.71/7.08 % (1574075)Instruction limit reached!
% 46.71/7.08 % (1574075)------------------------------
% 46.71/7.08 % (1574075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574075)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574075)Termination reason: Instruction limit
% 46.71/7.08 % (1574075)Termination phase: Finite model building constraint generation
% 46.71/7.08 % (1574075)Time elapsed: 0.338 s
% 46.71/7.08 % (1574075)Peak memory usage: 66 MB
% 46.71/7.08 % (1574075)Instructions burned: 921 (million)
% 46.71/7.08 % (1574079)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1097997739:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 46.71/7.08 % TRYING [9]
% 46.71/7.08 % TRYING [8]
% 46.71/7.08 % (1574079)Instruction limit reached!
% 46.71/7.08 % (1574079)------------------------------
% 46.71/7.08 % (1574079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574079)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574079)Termination reason: Instruction limit
% 46.71/7.08 % (1574079)Termination phase: Saturation
% 46.71/7.08 % (1574079)Time elapsed: 0.806 s
% 46.71/7.08 % (1574079)Peak memory usage: 38 MB
% 46.71/7.08 % (1574079)Instructions burned: 1473 (million)
% 46.71/7.08 % (1574081)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=254136204:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 46.71/7.08 % TRYING [77]
% 46.71/7.08 % TRYING [10]
% 46.71/7.08 % TRYING [9]
% 46.71/7.08 % (1574077)Instruction limit reached!
% 46.71/7.08 % (1574077)------------------------------
% 46.71/7.08 % (1574077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574077)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574077)Termination reason: Instruction limit
% 46.71/7.08 % (1574077)Termination phase: Saturation
% 46.71/7.08 % (1574077)Time elapsed: 2.730 s
% 46.71/7.08 % (1574077)Peak memory usage: 47 MB
% 46.71/7.08 % (1574077)Instructions burned: 5132 (million)
% 46.71/7.08 % (1574083)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1005487084:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 46.71/7.08 % TRYING [16]
% 46.71/7.08 % (1574073)Instruction limit reached!
% 46.71/7.08 % (1574073)------------------------------
% 46.71/7.08 % (1574073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574073)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574073)Termination reason: Instruction limit
% 46.71/7.08 % (1574073)Termination phase: Finite model building constraint generation
% 46.71/7.08 % (1574073)Time elapsed: 3.291 s
% 46.71/7.08 % (1574073)Peak memory usage: 565 MB
% 46.71/7.08 % (1574073)Instructions burned: 9516 (million)
% 46.71/7.08 % (1574085)ott-2_1_sil=16000:newcnf=on:random_seed=1272629042:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 46.71/7.08 % (1574081)Instruction limit reached!
% 46.71/7.08 % (1574081)------------------------------
% 46.71/7.08 % (1574081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574081)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574081)Termination reason: Instruction limit
% 46.71/7.08 % (1574081)Termination phase: Finite model building constraint generation
% 46.71/7.08 % (1574081)Time elapsed: 2.328 s
% 46.71/7.08 % (1574081)Peak memory usage: 444 MB
% 46.71/7.08 % (1574081)Instructions burned: 6327 (million)
% 46.71/7.08 % (1574087)ott+10_1_sil=32000:tgt=ground:random_seed=590974946:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 46.71/7.08 % (1574083)Instruction limit reached!
% 46.71/7.08 % (1574083)------------------------------
% 46.71/7.08 % (1574083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574083)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574083)Termination reason: Instruction limit
% 46.71/7.08 % (1574083)Termination phase: Finite model building constraint generation
% 46.71/7.08 % (1574083)Time elapsed: 0.760 s
% 46.71/7.08 % (1574083)Peak memory usage: 146 MB
% 46.71/7.08 % (1574083)Instructions burned: 2175 (million)
% 46.71/7.08 % (1574089)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4244196275:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 46.71/7.08 % TRYING [1]
% 46.71/7.08 % TRYING [2]
% 46.71/7.08 % TRYING [3]
% 46.71/7.08 % TRYING [4]
% 46.71/7.08 % TRYING [5]
% 46.71/7.08 % TRYING [6]
% 46.71/7.08 % (1574085)Instruction limit reached!
% 46.71/7.08 % (1574085)------------------------------
% 46.71/7.08 % (1574085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574085)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574085)Termination reason: Instruction limit
% 46.71/7.08 % (1574085)Termination phase: Saturation
% 46.71/7.08 % (1574085)Time elapsed: 0.443 s
% 46.71/7.08 % (1574085)Peak memory usage: 23 MB
% 46.71/7.08 % (1574085)Instructions burned: 869 (million)
% 46.71/7.08 % (1574091)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1457772467:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 46.71/7.08 % TRYING [7]
% 46.71/7.08 % TRYING [8]
% 46.71/7.08 % (1574071)Instruction limit reached!
% 46.71/7.08 % (1574071)------------------------------
% 46.71/7.08 % (1574071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574071)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574071)Termination reason: Instruction limit
% 46.71/7.08 % (1574071)Termination phase: Finite model building SAT solving
% 46.71/7.08 % (1574071)Time elapsed: 4.735 s
% 46.71/7.08 % (1574071)Peak memory usage: 157 MB
% 46.71/7.08 % (1574071)Instructions burned: 22063 (million)
% 46.71/7.08 % (1574093)dis+21_1_sil=32000:sas=cadical:random_seed=894179925:i=3773:amm=off_2946 on theBenchmark for (2946ds/3773Mi)
% 46.71/7.08 % TRYING [9]
% 46.71/7.08 % (1574093)Instruction limit reached!
% 46.71/7.08 % (1574093)------------------------------
% 46.71/7.08 % (1574093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574093)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574093)Termination reason: Instruction limit
% 46.71/7.08 % (1574093)Termination phase: Saturation
% 46.71/7.08 % (1574093)Time elapsed: 1.055 s
% 46.71/7.08 % (1574093)Peak memory usage: 48 MB
% 46.71/7.08 % (1574093)Instructions burned: 3773 (million)
% 46.71/7.08 % (1574095)ott+11_1_sil=16000:gs=on:random_seed=3959925074:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2935 on theBenchmark for (2935ds/2251Mi)
% 46.71/7.08 % TRYING [11]
% 46.71/7.08 % (1574091)Instruction limit reached!
% 46.71/7.08 % (1574091)------------------------------
% 46.71/7.08 % (1574091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574091)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574091)Termination reason: Instruction limit
% 46.71/7.08 % (1574091)Termination phase: Saturation
% 46.71/7.08 % (1574091)Time elapsed: 1.800 s
% 46.71/7.08 % (1574091)Peak memory usage: 41 MB
% 46.71/7.08 % (1574091)Instructions burned: 3512 (million)
% 46.71/7.08 % (1574087) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1574032-1574087"...
% 46.71/7.08 % (1574087)...printing done.
% 46.71/7.08 % (1574087)Refutation found. Thanks to Tanya!
% 46.71/7.08 % SZS status Theorem for theBenchmark
% 46.71/7.08 % SZS output start Proof for theBenchmark
% See solution above
% 46.71/7.08 % (1574087)------------------------------
% 46.71/7.08 % (1574087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.08 % (1574087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.08 % (1574087)CaDiCaL version: 2.1.3
% 46.71/7.08 % (1574087)Termination reason: Refutation
% 46.71/7.08 % (1574087)Time elapsed: 2.031 s
% 46.71/7.08 % (1574087)Peak memory usage: 31 MB
% 46.71/7.08 % (1574087)Instructions burned: 3511 (million)
% 46.71/7.08 % (1574032)Success in time 6.638 s
% 46.71/7.08 % Vampire exiting
%------------------------------------------------------------------------------