%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM529+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:15:36 PM UTC 2026
% Result : ContradictoryAxioms 3.00s 1.36s
% Output : Refutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 122 ( 37 unt; 12 def)
% Number of atoms : 380 ( 113 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 444 ( 186 ~; 214 |; 25 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
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(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& X0 != sz00
& X1 != sz00
& X2 != sz00 )
=> ( sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
=> ( iLess0(X0,xn)
=> ~ isPrime0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2963) ).
fof(f43,axiom,
isPrime0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).
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,axiom,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3082) ).
fof(f47,axiom,
( xm != xn
& sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3124) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sz00 = X1
| sz00 = X2 ),
inference(ennf_transformation,[],[f41]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sz00 = X1
| sz00 = X2 ),
inference(flattening,[],[f53]) ).
fof(f59,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f60,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f61,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f60]) ).
fof(f86,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(f87,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,[],[f86]) ).
fof(f107,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,[],[f87]) ).
fof(f108,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,[],[f107]) ).
fof(f109,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f110,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f111,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f112,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f113,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f114,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f115,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sz00 = X1
| sz00 = X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f117,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f43]) ).
fof(f118,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f120,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f121,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f46]) ).
fof(f122,plain,
sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f47]) ).
fof(f123,plain,
xn != xm,
inference(cnf_transformation,[],[f47]) ).
fof(f128,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f130,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f153,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f154,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f166,definition,
~ sP3(sz00),
introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).
fof(f167,plain,
sP3(xn),
inference(inequality_splitting,[],[f111,f166]) ).
fof(f168,definition,
~ sP4(sz00),
introduced(definition,[new_symbols(definition,[sP4])],[inequality_splitting_name_introduction]) ).
fof(f169,plain,
sP4(xm),
inference(inequality_splitting,[],[f110,f168]) ).
fof(f170,definition,
~ sP5(sz00),
introduced(definition,[new_symbols(definition,[sP5])],[inequality_splitting_name_introduction]) ).
fof(f171,plain,
sP5(xp),
inference(inequality_splitting,[],[f109,f170]) ).
fof(f172,definition,
~ sP6(xn),
introduced(definition,[new_symbols(definition,[sP6])],[inequality_splitting_name_introduction]) ).
fof(f173,plain,
sP6(xm),
inference(inequality_splitting,[],[f123,f172]) ).
fof(f184,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f154]) ).
fof(f185,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f153]) ).
fof(f215,definition,
( spl11_4
<=> sz00 = xn ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f216,plain,
( sz00 != xn
| spl11_4 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f217,plain,
( sz00 = xn
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f225,plain,
( xn = xm
| iLess0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f122,f130]) ).
fof(f226,plain,
( xn = xm
| iLess0(xm,xn)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f225,f113]) ).
fof(f229,plain,
( xn = xm
| iLess0(xm,xn) ),
inference(forward_subsumption_resolution,[],[f226,f114]) ).
fof(f238,definition,
( spl11_6
<=> sz00 = xm ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f239,plain,
( sz00 != xm
| spl11_6 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( sz00 = xm
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f252,definition,
( spl11_9
<=> iLess0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f254,plain,
( iLess0(xm,xn)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f256,definition,
( spl11_10
<=> xn = xm ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f258,plain,
( xn = xm
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f229,f256,f252]) ).
fof(f666,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ isPrime0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(superposition,[],[f115,f121]) ).
fof(f675,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f666,f117]) ).
fof(f679,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f675,f112]) ).
fof(f681,plain,
! [X0] :
( ~ aNaturalNumber0(sdtsldt0(xn,xp))
| sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(forward_demodulation,[],[f679,f120]) ).
fof(f695,definition,
( spl11_39
<=> ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xn) ) ),
introduced(definition,[new_symbols(definition,[spl11_39])],[avatar_definition]) ).
fof(f696,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xn) )
| ~ spl11_39 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f852,plain,
! [X0] :
( sz00 = sdtsldt0(xn,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xp))
| sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz00 = xp ),
inference(forward_demodulation,[],[f681,f120]) ).
fof(f854,definition,
( spl11_45
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl11_45])],[avatar_definition]) ).
fof(f855,plain,
( sz00 != xp
| spl11_45 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f856,plain,
( sz00 = xp
| ~ spl11_45 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f873,definition,
( spl11_46
<=> aNaturalNumber0(sdtsldt0(xn,xp)) ),
introduced(definition,[new_symbols(definition,[spl11_46])],[avatar_definition]) ).
fof(f875,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xp))
| spl11_46 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f877,definition,
( spl11_47
<=> sz00 = sdtsldt0(xn,xp) ),
introduced(definition,[new_symbols(definition,[spl11_47])],[avatar_definition]) ).
fof(f879,plain,
( sz00 = sdtsldt0(xn,xp)
| ~ spl11_47 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f880,plain,
( spl11_45
| spl11_39
| ~ spl11_46
| spl11_47 ),
inference(avatar_split_clause,[],[f852,f877,f873,f695,f854]) ).
fof(f888,plain,
( sP4(sz00)
| ~ spl11_6 ),
inference(superposition,[],[f169,f240]) ).
fof(f890,plain,
( $false
| ~ spl11_6 ),
inference(forward_subsumption_resolution,[],[f888,f168]) ).
fof(f891,plain,
~ spl11_6,
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f1147,plain,
( sP5(sz00)
| ~ spl11_45 ),
inference(superposition,[],[f171,f856]) ).
fof(f1158,plain,
( $false
| ~ spl11_45 ),
inference(forward_subsumption_resolution,[],[f1147,f170]) ).
fof(f1159,plain,
~ spl11_45,
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1174,plain,
( sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl11_46 ),
inference(resolution,[],[f875,f184]) ).
fof(f1175,plain,
( ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl11_45
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1174,f855]) ).
fof(f1176,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl11_45
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1175,f118]) ).
fof(f1177,plain,
( ~ aNaturalNumber0(xn)
| spl11_45
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1176,f112]) ).
fof(f1178,plain,
( $false
| spl11_45
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1177,f114]) ).
fof(f1179,plain,
( spl11_45
| spl11_46 ),
inference(avatar_contradiction_clause,[],[f1178]) ).
fof(f1340,plain,
( sP3(sz00)
| ~ spl11_4 ),
inference(superposition,[],[f167,f217]) ).
fof(f1362,plain,
( $false
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f1340,f166]) ).
fof(f1363,plain,
~ spl11_4,
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f2294,plain,
( sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ iLess0(xm,xn)
| ~ spl11_39 ),
inference(equality_resolution,[],[f696]) ).
fof(f2296,plain,
( ~ aNaturalNumber0(xm)
| ~ iLess0(xm,xn)
| spl11_6
| ~ spl11_39 ),
inference(forward_subsumption_resolution,[],[f2294,f239]) ).
fof(f2298,plain,
( ~ iLess0(xm,xn)
| spl11_6
| ~ spl11_39 ),
inference(forward_subsumption_resolution,[],[f2296,f113]) ).
fof(f2299,plain,
( $false
| spl11_6
| ~ spl11_9
| ~ spl11_39 ),
inference(forward_subsumption_resolution,[],[f2298,f254]) ).
fof(f2300,plain,
( spl11_6
| ~ spl11_9
| ~ spl11_39 ),
inference(avatar_contradiction_clause,[],[f2299]) ).
fof(f2305,plain,
( sP6(xn)
| ~ spl11_10 ),
inference(superposition,[],[f173,f258]) ).
fof(f2329,plain,
( $false
| ~ spl11_10 ),
inference(forward_subsumption_resolution,[],[f2305,f172]) ).
fof(f2330,plain,
~ spl11_10,
inference(avatar_contradiction_clause,[],[f2329]) ).
fof(f2341,plain,
( xn = sdtasdt0(xp,sz00)
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl11_47 ),
inference(superposition,[],[f185,f879]) ).
fof(f2343,plain,
( xn = sdtasdt0(xp,sz00)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl11_45
| ~ spl11_47 ),
inference(forward_subsumption_resolution,[],[f2341,f855]) ).
fof(f2344,plain,
( xn = sdtasdt0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl11_45
| ~ spl11_47 ),
inference(forward_subsumption_resolution,[],[f2343,f118]) ).
fof(f2345,plain,
( xn = sdtasdt0(xp,sz00)
| ~ aNaturalNumber0(xn)
| spl11_45
| ~ spl11_47 ),
inference(forward_subsumption_resolution,[],[f2344,f112]) ).
fof(f2346,plain,
( xn = sdtasdt0(xp,sz00)
| spl11_45
| ~ spl11_47 ),
inference(forward_subsumption_resolution,[],[f2345,f114]) ).
fof(f2849,plain,
( sz00 = xn
| ~ aNaturalNumber0(xp)
| spl11_45
| ~ spl11_47 ),
inference(superposition,[],[f2346,f128]) ).
fof(f2889,plain,
( ~ aNaturalNumber0(xp)
| spl11_4
| spl11_45
| ~ spl11_47 ),
inference(forward_subsumption_resolution,[],[f2849,f216]) ).
fof(f2908,plain,
( $false
| spl11_4
| spl11_45
| ~ spl11_47 ),
inference(forward_subsumption_resolution,[],[f2889,f112]) ).
fof(f2909,plain,
( spl11_4
| spl11_45
| ~ spl11_47 ),
inference(avatar_contradiction_clause,[],[f2908]) ).
cnf(s5,plain,
( spl11_9
| spl11_10 ),
inference(sat_conversion,[],[f259]) ).
cnf(s40,plain,
( spl11_39
| spl11_45
| ~ spl11_46
| spl11_47 ),
inference(sat_conversion,[],[f880]) ).
cnf(s41,plain,
~ spl11_6,
inference(sat_conversion,[],[f891]) ).
cnf(s94,plain,
~ spl11_45,
inference(sat_conversion,[],[f1159]) ).
cnf(s95,plain,
( spl11_45
| spl11_46 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s102,plain,
~ spl11_4,
inference(sat_conversion,[],[f1363]) ).
cnf(s148,plain,
( spl11_6
| ~ spl11_9
| ~ spl11_39 ),
inference(sat_conversion,[],[f2300]) ).
cnf(s149,plain,
~ spl11_10,
inference(sat_conversion,[],[f2330]) ).
cnf(s158,plain,
( spl11_4
| spl11_45
| ~ spl11_47 ),
inference(sat_conversion,[],[f2909]) ).
cnf(s168,plain,
~ spl11_47,
inference(rat,[],[s158,s102,s94]) ).
cnf(s170,plain,
spl11_46,
inference(rat,[],[s95,s94]) ).
cnf(s225,plain,
spl11_39,
inference(rat,[],[s40,s168,s170,s94]) ).
cnf(s226,plain,
~ spl11_9,
inference(rat,[],[s148,s41,s225]) ).
cnf(s251,plain,
$false,
inference(rat,[],[s5,s149,s226]) ).
fof(f2924,plain,
$false,
inference(avatar_sat_refutation,[],[s251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM529+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:21:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.00/1.36 % (1285215)Detected formulas, will run a generic FOF schedule.
% 3.00/1.36 % (1285222)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2297591410:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.00/1.36 % (1285223)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3441861547:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.00/1.36 % (1285220)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2951647612:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.00/1.36 % (1285226)dis-21_1_sil=8000:lcm=predicate:random_seed=316551633:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.00/1.36 % (1285224)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2302259686:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.00/1.36 % (1285221)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1822544628:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.00/1.36 % (1285225)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3438781799:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.00/1.36 % (1285223)First to succeed.
% 3.00/1.36 % (1285223)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1285215"
% 3.00/1.36 % (1285224)Instruction limit reached!
% 3.00/1.36 % (1285224)------------------------------
% 3.00/1.36 % (1285224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.36 % (1285224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.36 % (1285224)CaDiCaL version: 2.1.3
% 3.00/1.36 % (1285224)Termination reason: Instruction limit
% 3.00/1.36 % (1285224)Termination phase: Saturation
% 3.00/1.36 % (1285224)Time elapsed: 0.069 s
% 3.00/1.36 % (1285224)Peak memory usage: 88 MB
% 3.00/1.36 % (1285224)Instructions burned: 120 (million)
% 3.00/1.36 % (1285226)Instruction limit reached!
% 3.00/1.36 % (1285226)------------------------------
% 3.00/1.36 % (1285226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.36 % (1285226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.36 % (1285226)CaDiCaL version: 2.1.3
% 3.00/1.36 % (1285226)Termination reason: Instruction limit
% 3.00/1.36 % (1285226)Termination phase: Saturation
% 3.00/1.36 % (1285226)Time elapsed: 0.078 s
% 3.00/1.36 % (1285226)Peak memory usage: 91 MB
% 3.00/1.36 % (1285226)Instructions burned: 130 (million)
% 3.00/1.36 % (1285225)Instruction limit reached!
% 3.00/1.36 % (1285225)------------------------------
% 3.00/1.36 % (1285225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.36 % (1285225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.36 % (1285225)CaDiCaL version: 2.1.3
% 3.00/1.36 % (1285225)Termination reason: Instruction limit
% 3.00/1.36 % (1285225)Termination phase: Saturation
% 3.00/1.36 % (1285225)Time elapsed: 0.091 s
% 3.00/1.36 % (1285225)Peak memory usage: 90 MB
% 3.00/1.36 % (1285225)Instructions burned: 139 (million)
% 3.00/1.36 % (1285234)lrs+10_1_sil=8000:sp=occurrence:random_seed=979674199:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.00/1.36 % (1285235)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4124724420:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.00/1.36 % (1285235)Refutation not found, incomplete strategy
% 3.00/1.36 % (1285235)------------------------------
% 3.00/1.36 % (1285235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.36 % (1285235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.36 % (1285235)CaDiCaL version: 2.1.3
% 3.00/1.36 % (1285235)Termination reason: Refutation not found, incomplete strategy
% 3.00/1.36 % (1285235)Time elapsed: 0.001 s
% 3.00/1.36 % (1285235)Peak memory usage: 87 MB
% 3.00/1.36 % (1285236)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2803940900:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.00/1.36 % (1285223)Refutation found. Thanks to Tanya!
% 3.00/1.36 % SZS status ContradictoryAxioms for theBenchmark
% 3.00/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 4.11/1.56 % (1285223)------------------------------
% 4.11/1.56 % (1285223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.56 % (1285223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.56 % (1285223)CaDiCaL version: 2.1.3
% 4.11/1.56 % (1285223)Termination reason: Refutation
% 4.11/1.56 % (1285223)Time elapsed: 0.064 s
% 4.11/1.56 % (1285223)Peak memory usage: 90 MB
% 4.11/1.56 % (1285223)Instructions burned: 111 (million)
% 4.11/1.56 % (1285223)------------------------------
% 4.11/1.56 % (1285223)------------------------------
% 4.11/1.56 % (1285215)Success in time 0.497 s
% 4.11/1.56 % Vampire exiting
%------------------------------------------------------------------------------