TSTP Solution File: NUM476+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM476+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 : n032.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 : Sun May 5 08:12:21 EDT 2024
% Result : Theorem 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 126 ( 11 unt; 0 def)
% Number of atoms : 447 ( 142 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 508 ( 187 ~; 203 |; 81 &)
% ( 21 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 104 ( 80 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f698,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f193,f198,f203,f208,f276,f385,f418,f605,f629,f669,f681,f694]) ).
fof(f694,plain,
( ~ spl5_10
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f693,f180,f273]) ).
fof(f273,plain,
( spl5_10
<=> aNaturalNumber0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f180,plain,
( spl5_2
<=> xn = sdtasdt0(xl,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f693,plain,
( ~ aNaturalNumber0(sK2)
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f692,f105]) ).
fof(f105,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/tmp/tmp.ofU6WDK1Cb/Vampire---4.8_25489',m__1324) ).
fof(f692,plain,
( ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f691,f107]) ).
fof(f107,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f691,plain,
( ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f355,f116]) ).
fof(f116,plain,
~ doDivides0(xl,xn),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ~ doDivides0(xl,xn)
& ( ( xn = sdtasdt0(xl,sK2)
& sdtpldt0(sdtasdt0(xl,sK0),xn) = sdtpldt0(sdtasdt0(xl,sK0),sdtasdt0(xl,sK2))
& sdtmndt0(sK1,sK0) = sK2
& sdtlseqdt0(sK0,sK1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = sK1
& sdtsldt0(xm,xl) = sK0 )
| sz00 = xl ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f39,f91,f90,f89]) ).
fof(f89,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& sdtmndt0(X1,X0) = X2 )
& sdtlseqdt0(X0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = X0 )
=> ( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,sK0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,sK0),xn)
& sdtmndt0(X1,sK0) = X2 )
& sdtlseqdt0(sK0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = sK0 ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,sK0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,sK0),xn)
& sdtmndt0(X1,sK0) = X2 )
& sdtlseqdt0(sK0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
=> ( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,sK0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,sK0),xn)
& sdtmndt0(sK1,sK0) = X2 )
& sdtlseqdt0(sK0,sK1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,sK0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,sK0),xn)
& sdtmndt0(sK1,sK0) = X2 )
=> ( xn = sdtasdt0(xl,sK2)
& sdtpldt0(sdtasdt0(xl,sK0),xn) = sdtpldt0(sdtasdt0(xl,sK0),sdtasdt0(xl,sK2))
& sdtmndt0(sK1,sK0) = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ~ doDivides0(xl,xn)
& ( ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& sdtmndt0(X1,X0) = X2 )
& sdtlseqdt0(X0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = X0 )
| sz00 = xl ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ( ( sz00 != xl
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& sdtmndt0(X1,X0) = X2 )
& sdtlseqdt0(X0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = X0 ) )
=> doDivides0(xl,xn) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
( ( sz00 != xl
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( xn = sdtasdt0(xl,X2)
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& sdtmndt0(X1,X0) = X2 )
& sdtlseqdt0(X0,X1)
& sdtsldt0(sdtpldt0(xm,xn),xl) = X1 )
& sdtsldt0(xm,xl) = X0 ) )
=> doDivides0(xl,xn) ),
file('/export/starexec/sandbox2/tmp/tmp.ofU6WDK1Cb/Vampire---4.8_25489',m__) ).
fof(f355,plain,
( doDivides0(xl,xn)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ spl5_2 ),
inference(superposition,[],[f168,f182]) ).
fof(f182,plain,
( xn = sdtasdt0(xl,sK2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f168,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtasdt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f96,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ofU6WDK1Cb/Vampire---4.8_25489',mDefDiv) ).
fof(f681,plain,
( spl5_1
| spl5_8
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f412,f205,f265,f176]) ).
fof(f176,plain,
( spl5_1
<=> sz00 = xl ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f265,plain,
( spl5_8
<=> aNaturalNumber0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f205,plain,
( spl5_7
<=> sdtsldt0(xm,xl) = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f412,plain,
( aNaturalNumber0(sK0)
| sz00 = xl
| ~ spl5_7 ),
inference(forward_demodulation,[],[f411,f207]) ).
fof(f207,plain,
( sdtsldt0(xm,xl) = sK0
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f411,plain,
( aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl ),
inference(subsumption_resolution,[],[f410,f105]) ).
fof(f410,plain,
( aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f406,f106]) ).
fof(f106,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f406,plain,
( aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(resolution,[],[f167,f108]) ).
fof(f108,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox2/tmp/tmp.ofU6WDK1Cb/Vampire---4.8_25489',m__1324_04) ).
fof(f167,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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,[],[f93]) ).
fof(f93,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,[],[f55]) ).
fof(f55,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,[],[f54]) ).
fof(f54,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.ofU6WDK1Cb/Vampire---4.8_25489',mDefQuot) ).
fof(f669,plain,
( ~ spl5_1
| ~ spl5_19 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| ~ spl5_1
| ~ spl5_19 ),
inference(subsumption_resolution,[],[f667,f107]) ).
fof(f667,plain,
( ~ aNaturalNumber0(xn)
| ~ spl5_1
| ~ spl5_19 ),
inference(subsumption_resolution,[],[f666,f423]) ).
fof(f423,plain,
( ~ doDivides0(sz00,xn)
| ~ spl5_1 ),
inference(backward_demodulation,[],[f116,f178]) ).
fof(f178,plain,
( sz00 = xl
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f666,plain,
( doDivides0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ spl5_1
| ~ spl5_19 ),
inference(superposition,[],[f637,f145]) ).
fof(f145,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ofU6WDK1Cb/Vampire---4.8_25489',m_AddZero) ).
fof(f637,plain,
( doDivides0(sz00,sdtpldt0(sz00,xn))
| ~ spl5_1
| ~ spl5_19 ),
inference(backward_demodulation,[],[f422,f603]) ).
fof(f603,plain,
( sz00 = xm
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl5_19
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f422,plain,
( doDivides0(sz00,sdtpldt0(xm,xn))
| ~ spl5_1 ),
inference(backward_demodulation,[],[f109,f178]) ).
fof(f109,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f629,plain,
( ~ spl5_1
| spl5_18 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl5_1
| spl5_18 ),
inference(subsumption_resolution,[],[f627,f146]) ).
fof(f146,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.ofU6WDK1Cb/Vampire---4.8_25489',mSortsC) ).
fof(f627,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl5_1
| spl5_18 ),
inference(subsumption_resolution,[],[f626,f106]) ).
fof(f626,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ spl5_1
| spl5_18 ),
inference(subsumption_resolution,[],[f625,f421]) ).
fof(f421,plain,
( doDivides0(sz00,xm)
| ~ spl5_1 ),
inference(backward_demodulation,[],[f108,f178]) ).
fof(f625,plain,
( ~ doDivides0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| spl5_18 ),
inference(resolution,[],[f599,f129]) ).
fof(f129,plain,
! [X0,X1] :
( aNaturalNumber0(sK3(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f599,plain,
( ~ aNaturalNumber0(sK3(sz00,xm))
| spl5_18 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl5_18
<=> aNaturalNumber0(sK3(sz00,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f605,plain,
( ~ spl5_18
| spl5_19
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f591,f176,f601,f597]) ).
fof(f591,plain,
( sz00 = xm
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ spl5_1 ),
inference(superposition,[],[f143,f442]) ).
fof(f442,plain,
( xm = sdtasdt0(sz00,sK3(sz00,xm))
| ~ spl5_1 ),
inference(backward_demodulation,[],[f370,f178]) ).
fof(f370,plain,
xm = sdtasdt0(xl,sK3(xl,xm)),
inference(subsumption_resolution,[],[f369,f105]) ).
fof(f369,plain,
( xm = sdtasdt0(xl,sK3(xl,xm))
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f365,f106]) ).
fof(f365,plain,
( xm = sdtasdt0(xl,sK3(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(resolution,[],[f130,f108]) ).
fof(f130,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK3(X0,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f143,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ofU6WDK1Cb/Vampire---4.8_25489',m_MulZero) ).
fof(f418,plain,
( spl5_1
| spl5_9
| ~ spl5_6
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f417,f373,f200,f269,f176]) ).
fof(f269,plain,
( spl5_9
<=> aNaturalNumber0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f200,plain,
( spl5_6
<=> sdtsldt0(sdtpldt0(xm,xn),xl) = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f373,plain,
( spl5_16
<=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f417,plain,
( aNaturalNumber0(sK1)
| sz00 = xl
| ~ spl5_6
| ~ spl5_16 ),
inference(forward_demodulation,[],[f416,f202]) ).
fof(f202,plain,
( sdtsldt0(sdtpldt0(xm,xn),xl) = sK1
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f416,plain,
( aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl))
| sz00 = xl
| ~ spl5_16 ),
inference(subsumption_resolution,[],[f415,f105]) ).
fof(f415,plain,
( aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl))
| sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ spl5_16 ),
inference(subsumption_resolution,[],[f407,f374]) ).
fof(f374,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f407,plain,
( aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl) ),
inference(resolution,[],[f167,f109]) ).
fof(f385,plain,
spl5_16,
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| spl5_16 ),
inference(subsumption_resolution,[],[f383,f106]) ).
fof(f383,plain,
( ~ aNaturalNumber0(xm)
| spl5_16 ),
inference(subsumption_resolution,[],[f382,f107]) ).
fof(f382,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl5_16 ),
inference(resolution,[],[f375,f123]) ).
fof(f123,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,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.ofU6WDK1Cb/Vampire---4.8_25489',mSortsB) ).
fof(f375,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl5_16 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f276,plain,
( ~ spl5_8
| ~ spl5_9
| spl5_10
| ~ spl5_4
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f263,f195,f190,f273,f269,f265]) ).
fof(f190,plain,
( spl5_4
<=> sdtmndt0(sK1,sK0) = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f195,plain,
( spl5_5
<=> sdtlseqdt0(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f263,plain,
( aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ spl5_4
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f262,f197]) ).
fof(f197,plain,
( sdtlseqdt0(sK0,sK1)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f262,plain,
( aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK0,sK1)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ spl5_4 ),
inference(superposition,[],[f173,f192]) ).
fof(f192,plain,
( sdtmndt0(sK1,sK0) = sK2
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f173,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f162]) ).
fof(f162,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ofU6WDK1Cb/Vampire---4.8_25489',mDefDiff) ).
fof(f208,plain,
( spl5_1
| spl5_7 ),
inference(avatar_split_clause,[],[f110,f205,f176]) ).
fof(f110,plain,
( sdtsldt0(xm,xl) = sK0
| sz00 = xl ),
inference(cnf_transformation,[],[f92]) ).
fof(f203,plain,
( spl5_1
| spl5_6 ),
inference(avatar_split_clause,[],[f111,f200,f176]) ).
fof(f111,plain,
( sdtsldt0(sdtpldt0(xm,xn),xl) = sK1
| sz00 = xl ),
inference(cnf_transformation,[],[f92]) ).
fof(f198,plain,
( spl5_1
| spl5_5 ),
inference(avatar_split_clause,[],[f112,f195,f176]) ).
fof(f112,plain,
( sdtlseqdt0(sK0,sK1)
| sz00 = xl ),
inference(cnf_transformation,[],[f92]) ).
fof(f193,plain,
( spl5_1
| spl5_4 ),
inference(avatar_split_clause,[],[f113,f190,f176]) ).
fof(f113,plain,
( sdtmndt0(sK1,sK0) = sK2
| sz00 = xl ),
inference(cnf_transformation,[],[f92]) ).
fof(f183,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f115,f180,f176]) ).
fof(f115,plain,
( xn = sdtasdt0(xl,sK2)
| sz00 = xl ),
inference(cnf_transformation,[],[f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : NUM476+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % 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
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 14:11:52 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.28 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.ofU6WDK1Cb/Vampire---4.8_25489
% 0.47/0.63 % (25693)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 (2996ds/34Mi)
% 0.47/0.63 % (25695)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.63 % (25699)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 (2996ds/83Mi)
% 0.47/0.63 % (25700)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 (2996ds/56Mi)
% 0.47/0.63 % (25697)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 (2996ds/34Mi)
% 0.47/0.63 % (25696)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.47/0.63 % (25694)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 (2996ds/51Mi)
% 0.47/0.63 % (25698)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.47/0.64 % (25693)Instruction limit reached!
% 0.47/0.64 % (25693)------------------------------
% 0.47/0.64 % (25693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64 % (25693)Termination reason: Unknown
% 0.47/0.64 % (25693)Termination phase: Saturation
% 0.47/0.64
% 0.47/0.64 % (25693)Memory used [KB]: 1268
% 0.47/0.64 % (25693)Time elapsed: 0.011 s
% 0.47/0.64 % (25693)Instructions burned: 36 (million)
% 0.47/0.64 % (25693)------------------------------
% 0.47/0.64 % (25693)------------------------------
% 0.47/0.64 % (25695)First to succeed.
% 0.47/0.64 % (25695)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25654"
% 0.47/0.64 % (25695)Refutation found. Thanks to Tanya!
% 0.47/0.64 % SZS status Theorem for Vampire---4
% 0.47/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.65 % (25695)------------------------------
% 0.47/0.65 % (25695)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.65 % (25695)Termination reason: Refutation
% 0.47/0.65
% 0.47/0.65 % (25695)Memory used [KB]: 1246
% 0.47/0.65 % (25695)Time elapsed: 0.013 s
% 0.47/0.65 % (25695)Instructions burned: 34 (million)
% 0.47/0.65 % (25654)Success in time 0.347 s
% 0.47/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------