TSTP Solution File: NUM507+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM507+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:31:42 EDT 2024
% Result : Theorem 0.62s 0.83s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of formulae : 119 ( 19 unt; 0 def)
% Number of atoms : 444 ( 118 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 546 ( 221 ~; 218 |; 77 &)
% ( 14 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 100 ( 96 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f717,plain,
$false,
inference(avatar_sat_refutation,[],[f259,f328,f506,f539,f551,f560,f610,f619,f649]) ).
fof(f649,plain,
( ~ spl4_1
| ~ spl4_16
| spl4_33 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl4_1
| ~ spl4_16
| spl4_33 ),
inference(unit_resulting_resolution,[],[f144,f159,f554,f376,f254,f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',mAddCanc) ).
fof(f254,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl4_1
<=> sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f376,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f375,plain,
( spl4_16
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f554,plain,
( xp != xr
| spl4_33 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f553,plain,
( spl4_33
<=> xp = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f159,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',m__2342) ).
fof(f144,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',m__1837) ).
fof(f619,plain,
( spl4_31
| ~ spl4_33 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| spl4_31
| ~ spl4_33 ),
inference(subsumption_resolution,[],[f615,f538]) ).
fof(f538,plain,
( ~ sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| spl4_31 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl4_31
<=> sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f615,plain,
( sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_33 ),
inference(superposition,[],[f249,f555]) ).
fof(f555,plain,
( xp = xr
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f249,plain,
sdtlseqdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xp)),
inference(forward_demodulation,[],[f162,f154]) ).
fof(f154,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',m__2306) ).
fof(f162,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtlseqdt0(xr,xk) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',m__2362) ).
fof(f610,plain,
( ~ spl4_13
| spl4_34 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f608,plain,
( $false
| ~ spl4_13
| spl4_34 ),
inference(unit_resulting_resolution,[],[f159,f144,f559,f249,f250,f344,f225]) ).
fof(f225,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',mLETran) ).
fof(f344,plain,
( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl4_13
<=> aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f250,plain,
sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xm),xp),xp),
inference(forward_demodulation,[],[f165,f154]) ).
fof(f165,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( sdtlseqdt0(xk,xp)
& xp != xk ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',m__2377) ).
fof(f559,plain,
( ~ sdtlseqdt0(xr,xp)
| spl4_34 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f557,plain,
( spl4_34
<=> sdtlseqdt0(xr,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f560,plain,
( spl4_33
| ~ spl4_34
| ~ spl4_16
| spl4_2 ),
inference(avatar_split_clause,[],[f371,f256,f375,f557,f553]) ).
fof(f256,plain,
( spl4_2
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f371,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(xr,xp)
| xp = xr
| spl4_2 ),
inference(subsumption_resolution,[],[f370,f159]) ).
fof(f370,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(xr,xp)
| xp = xr
| ~ aNaturalNumber0(xr)
| spl4_2 ),
inference(subsumption_resolution,[],[f364,f144]) ).
fof(f364,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(xr,xp)
| xp = xr
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| spl4_2 ),
inference(resolution,[],[f258,f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',mMonAdd) ).
fof(f258,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| spl4_2 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f551,plain,
spl4_16,
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f550,plain,
( $false
| spl4_16 ),
inference(subsumption_resolution,[],[f549,f142]) ).
fof(f142,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f549,plain,
( ~ aNaturalNumber0(xn)
| spl4_16 ),
inference(subsumption_resolution,[],[f547,f143]) ).
fof(f143,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f547,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl4_16 ),
inference(resolution,[],[f377,f189]) ).
fof(f189,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',mSortsB) ).
fof(f377,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl4_16 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f539,plain,
( ~ spl4_13
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f534,f536,f343]) ).
fof(f534,plain,
( ~ sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(subsumption_resolution,[],[f533,f144]) ).
fof(f533,plain,
( ~ sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f357,f320]) ).
fof(f320,plain,
xp != sdtsldt0(sdtasdt0(xn,xm),xp),
inference(superposition,[],[f164,f154]) ).
fof(f164,plain,
xp != xk,
inference(cnf_transformation,[],[f50]) ).
fof(f357,plain,
( xp = sdtsldt0(sdtasdt0(xn,xm),xp)
| ~ sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f250,f226]) ).
fof(f226,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',mLEAsym) ).
fof(f506,plain,
( ~ spl4_7
| spl4_13 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| ~ spl4_7
| spl4_13 ),
inference(subsumption_resolution,[],[f503,f228]) ).
fof(f228,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',mSortsC) ).
fof(f503,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl4_7
| spl4_13 ),
inference(resolution,[],[f429,f240]) ).
fof(f240,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f207]) ).
fof(f207,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ( isPrime0(X0)
| ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f133,f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',mDefPrime) ).
fof(f429,plain,
( isPrime0(sz00)
| ~ spl4_7
| spl4_13 ),
inference(superposition,[],[f146,f363]) ).
fof(f363,plain,
( sz00 = xp
| ~ spl4_7
| spl4_13 ),
inference(subsumption_resolution,[],[f362,f144]) ).
fof(f362,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ spl4_7
| spl4_13 ),
inference(subsumption_resolution,[],[f361,f298]) ).
fof(f298,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl4_7
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f361,plain,
( sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl4_13 ),
inference(subsumption_resolution,[],[f359,f147]) ).
fof(f147,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',m__1860) ).
fof(f359,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl4_13 ),
inference(resolution,[],[f345,f243]) ).
fof(f243,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f217]) ).
fof(f217,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',mDefQuot) ).
fof(f345,plain,
( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| spl4_13 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f146,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f328,plain,
spl4_7,
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| spl4_7 ),
inference(subsumption_resolution,[],[f326,f142]) ).
fof(f326,plain,
( ~ aNaturalNumber0(xn)
| spl4_7 ),
inference(subsumption_resolution,[],[f324,f143]) ).
fof(f324,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl4_7 ),
inference(resolution,[],[f299,f203]) ).
fof(f203,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',mSortsB_02) ).
fof(f299,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_7 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f259,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f166,f256,f252]) ).
fof(f166,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,negated_conjecture,
~ ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xr) ),
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xr) ),
file('/export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM507+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 17:11:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.1h4TORvGwO/Vampire---4.8_15523
% 0.56/0.77 % (15731)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.56/0.77 % (15732)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.56/0.77 % (15725)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.56/0.77 % (15728)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.56/0.77 % (15727)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.77 % (15730)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.56/0.77 % (15729)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.56/0.77 % (15726)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.80 % (15728)Instruction limit reached!
% 0.62/0.80 % (15728)------------------------------
% 0.62/0.80 % (15728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (15728)Termination reason: Unknown
% 0.62/0.80 % (15728)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (15728)Memory used [KB]: 1541
% 0.62/0.80 % (15728)Time elapsed: 0.029 s
% 0.62/0.80 % (15728)Instructions burned: 34 (million)
% 0.62/0.80 % (15728)------------------------------
% 0.62/0.80 % (15728)------------------------------
% 0.62/0.80 % (15729)Instruction limit reached!
% 0.62/0.80 % (15729)------------------------------
% 0.62/0.80 % (15729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (15729)Termination reason: Unknown
% 0.62/0.80 % (15729)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (15729)Memory used [KB]: 1608
% 0.62/0.80 % (15729)Time elapsed: 0.031 s
% 0.62/0.80 % (15729)Instructions burned: 34 (million)
% 0.62/0.80 % (15729)------------------------------
% 0.62/0.80 % (15729)------------------------------
% 0.62/0.80 % (15732)Instruction limit reached!
% 0.62/0.80 % (15732)------------------------------
% 0.62/0.80 % (15732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (15732)Termination reason: Unknown
% 0.62/0.80 % (15732)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (15732)Memory used [KB]: 1490
% 0.62/0.80 % (15732)Time elapsed: 0.033 s
% 0.62/0.80 % (15732)Instructions burned: 57 (million)
% 0.62/0.80 % (15732)------------------------------
% 0.62/0.80 % (15732)------------------------------
% 0.62/0.80 % (15741)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.80 % (15725)Instruction limit reached!
% 0.62/0.80 % (15725)------------------------------
% 0.62/0.80 % (15725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (15725)Termination reason: Unknown
% 0.62/0.80 % (15725)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (15725)Memory used [KB]: 1426
% 0.62/0.80 % (15725)Time elapsed: 0.035 s
% 0.62/0.80 % (15725)Instructions burned: 35 (million)
% 0.62/0.80 % (15725)------------------------------
% 0.62/0.80 % (15725)------------------------------
% 0.62/0.80 % (15742)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.80 % (15744)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.81 % (15731)Instruction limit reached!
% 0.62/0.81 % (15731)------------------------------
% 0.62/0.81 % (15731)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (15731)Termination reason: Unknown
% 0.62/0.81 % (15731)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (15731)Memory used [KB]: 1949
% 0.62/0.81 % (15731)Time elapsed: 0.038 s
% 0.62/0.81 % (15731)Instructions burned: 84 (million)
% 0.62/0.81 % (15731)------------------------------
% 0.62/0.81 % (15731)------------------------------
% 0.62/0.81 % (15745)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.81 % (15730)Instruction limit reached!
% 0.62/0.81 % (15730)------------------------------
% 0.62/0.81 % (15730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (15730)Termination reason: Unknown
% 0.62/0.81 % (15730)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (15730)Memory used [KB]: 1679
% 0.62/0.81 % (15730)Time elapsed: 0.040 s
% 0.62/0.81 % (15730)Instructions burned: 45 (million)
% 0.62/0.81 % (15730)------------------------------
% 0.62/0.81 % (15730)------------------------------
% 0.62/0.81 % (15747)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.81 % (15749)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.62/0.81 % (15726)Instruction limit reached!
% 0.62/0.81 % (15726)------------------------------
% 0.62/0.81 % (15726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (15726)Termination reason: Unknown
% 0.62/0.81 % (15726)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (15726)Memory used [KB]: 1727
% 0.62/0.81 % (15726)Time elapsed: 0.045 s
% 0.62/0.81 % (15726)Instructions burned: 51 (million)
% 0.62/0.81 % (15726)------------------------------
% 0.62/0.81 % (15726)------------------------------
% 0.62/0.82 % (15751)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.62/0.83 % (15727)Instruction limit reached!
% 0.62/0.83 % (15727)------------------------------
% 0.62/0.83 % (15727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (15727)Termination reason: Unknown
% 0.62/0.83 % (15727)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (15727)Memory used [KB]: 1867
% 0.62/0.83 % (15727)Time elapsed: 0.059 s
% 0.62/0.83 % (15727)Instructions burned: 79 (million)
% 0.62/0.83 % (15727)------------------------------
% 0.62/0.83 % (15727)------------------------------
% 0.62/0.83 % (15742)Instruction limit reached!
% 0.62/0.83 % (15742)------------------------------
% 0.62/0.83 % (15742)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (15742)Termination reason: Unknown
% 0.62/0.83 % (15742)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (15742)Memory used [KB]: 1505
% 0.62/0.83 % (15742)Time elapsed: 0.027 s
% 0.62/0.83 % (15742)Instructions burned: 51 (million)
% 0.62/0.83 % (15742)------------------------------
% 0.62/0.83 % (15742)------------------------------
% 0.62/0.83 % (15747)First to succeed.
% 0.62/0.83 % (15741)Instruction limit reached!
% 0.62/0.83 % (15741)------------------------------
% 0.62/0.83 % (15741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (15741)Termination reason: Unknown
% 0.62/0.83 % (15741)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (15741)Memory used [KB]: 2000
% 0.62/0.83 % (15741)Time elapsed: 0.031 s
% 0.62/0.83 % (15741)Instructions burned: 55 (million)
% 0.62/0.83 % (15741)------------------------------
% 0.62/0.83 % (15741)------------------------------
% 0.62/0.83 % (15755)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.62/0.83 % (15747)Refutation found. Thanks to Tanya!
% 0.62/0.83 % SZS status Theorem for Vampire---4
% 0.62/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83 % (15747)------------------------------
% 0.62/0.83 % (15747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (15747)Termination reason: Refutation
% 0.62/0.83
% 0.62/0.83 % (15747)Memory used [KB]: 1530
% 0.62/0.83 % (15747)Time elapsed: 0.024 s
% 0.62/0.83 % (15747)Instructions burned: 47 (million)
% 0.62/0.83 % (15747)------------------------------
% 0.62/0.83 % (15747)------------------------------
% 0.62/0.83 % (15688)Success in time 0.467 s
% 0.62/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------