TSTP Solution File: NUM469+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM469+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.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 Aug 31 17:59:49 EDT 2022
% Result : Theorem 1.36s 0.54s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 10 unt; 0 def)
% Number of atoms : 173 ( 49 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 165 ( 61 ~; 56 |; 36 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 18 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f328,plain,
$false,
inference(avatar_sat_refutation,[],[f156,f171,f176,f224,f323,f327]) ).
fof(f327,plain,
( ~ spl3_1
| ~ spl3_6
| spl3_9 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl3_1
| ~ spl3_6
| spl3_9 ),
inference(subsumption_resolution,[],[f325,f151]) ).
fof(f151,plain,
( aNaturalNumber0(sdtsldt0(xn,xl))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl3_1
<=> aNaturalNumber0(sdtsldt0(xn,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f325,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ spl3_6
| spl3_9 ),
inference(subsumption_resolution,[],[f324,f175]) ).
fof(f175,plain,
( aNaturalNumber0(sdtsldt0(xm,xl))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl3_6
<=> aNaturalNumber0(sdtsldt0(xm,xl)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f324,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| spl3_9 ),
inference(resolution,[],[f317,f118]) ).
fof(f118,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f317,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| spl3_9 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl3_9
<=> aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f323,plain,
( ~ spl3_9
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f312,f168,f315]) ).
fof(f168,plain,
( spl3_5
<=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f312,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f310]) ).
fof(f310,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| sdtpldt0(xm,xn) != sdtpldt0(xm,xn)
| ~ spl3_5 ),
inference(superposition,[],[f133,f170]) ).
fof(f170,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f133,plain,
! [X0] :
( sdtasdt0(xl,X0) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ~ doDivides0(xl,sdtpldt0(xm,xn))
& ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xl,X0) != sdtpldt0(xm,xn) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ( doDivides0(xl,sdtpldt0(xm,xn))
| ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xl,X0) = sdtpldt0(xm,xn) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
( doDivides0(xl,sdtpldt0(xm,xn))
| ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xl,X0) = sdtpldt0(xm,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f224,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f222,f204]) ).
fof(f204,plain,
( doDivides0(sz00,sz00)
| ~ spl3_2 ),
inference(backward_demodulation,[],[f178,f190]) ).
fof(f190,plain,
( sz00 = xn
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f184,f112]) ).
fof(f112,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( doDivides0(xl,xm)
& doDivides0(xl,xn)
& xm = sdtasdt0(xl,sK1)
& aNaturalNumber0(sK1)
& xn = sdtasdt0(xl,sK2)
& aNaturalNumber0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f38,f89,f88]) ).
fof(f88,plain,
( ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
=> ( xm = sdtasdt0(xl,sK1)
& aNaturalNumber0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X1] :
( xn = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
=> ( xn = sdtasdt0(xl,sK2)
& aNaturalNumber0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( doDivides0(xl,xm)
& doDivides0(xl,xn)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
& ? [X1] :
( xn = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
( ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& doDivides0(xl,xn)
& ? [X0] :
( xn = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1240_04) ).
fof(f184,plain,
( ~ aNaturalNumber0(sK2)
| sz00 = xn
| ~ spl3_2 ),
inference(superposition,[],[f132,f182]) ).
fof(f182,plain,
( xn = sdtasdt0(sz00,sK2)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f113,f155]) ).
fof(f155,plain,
( sz00 = xl
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl3_2
<=> sz00 = xl ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f113,plain,
xn = sdtasdt0(xl,sK2),
inference(cnf_transformation,[],[f90]) ).
fof(f132,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f178,plain,
( doDivides0(sz00,xn)
| ~ spl3_2 ),
inference(backward_demodulation,[],[f116,f155]) ).
fof(f116,plain,
doDivides0(xl,xn),
inference(cnf_transformation,[],[f90]) ).
fof(f222,plain,
( ~ doDivides0(sz00,sz00)
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f220,f143]) ).
fof(f143,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f220,plain,
( ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,sz00)
| ~ spl3_2 ),
inference(superposition,[],[f212,f135]) ).
fof(f135,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,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/benchmark/theBenchmark.p',m_AddZero) ).
fof(f212,plain,
( ~ doDivides0(sz00,sdtpldt0(sz00,sz00))
| ~ spl3_2 ),
inference(backward_demodulation,[],[f206,f191]) ).
fof(f191,plain,
( sz00 = xm
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f185,f114]) ).
fof(f114,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f185,plain,
( sz00 = xm
| ~ aNaturalNumber0(sK1)
| ~ spl3_2 ),
inference(superposition,[],[f132,f183]) ).
fof(f183,plain,
( xm = sdtasdt0(sz00,sK1)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f115,f155]) ).
fof(f115,plain,
xm = sdtasdt0(xl,sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f206,plain,
( ~ doDivides0(sz00,sdtpldt0(xm,sz00))
| ~ spl3_2 ),
inference(backward_demodulation,[],[f181,f190]) ).
fof(f181,plain,
( ~ doDivides0(sz00,sdtpldt0(xm,xn))
| ~ spl3_2 ),
inference(backward_demodulation,[],[f134,f155]) ).
fof(f134,plain,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f80]) ).
fof(f176,plain,
( spl3_2
| spl3_6 ),
inference(avatar_split_clause,[],[f102,f173,f153]) ).
fof(f102,plain,
( aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xn,xl)) )
| sz00 = xl ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
( sz00 != xl
=> ( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xn,xl)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1298) ).
fof(f171,plain,
( spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f105,f168,f153]) ).
fof(f105,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| sz00 = xl ),
inference(cnf_transformation,[],[f75]) ).
fof(f156,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f101,f153,f149]) ).
fof(f101,plain,
( sz00 = xl
| aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(cnf_transformation,[],[f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM469+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:47:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (22052)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (22043)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (22062)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.52 % (22059)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52 % (22043)First to succeed.
% 0.20/0.52 % (22060)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.53 % (22052)Instruction limit reached!
% 0.20/0.53 % (22052)------------------------------
% 0.20/0.53 % (22052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (22052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (22052)Termination reason: Unknown
% 0.20/0.53 % (22052)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (22052)Memory used [KB]: 6140
% 0.20/0.53 % (22052)Time elapsed: 0.068 s
% 0.20/0.53 % (22052)Instructions burned: 8 (million)
% 0.20/0.53 % (22052)------------------------------
% 0.20/0.53 % (22052)------------------------------
% 1.36/0.53 % (22059)Also succeeded, but the first one will report.
% 1.36/0.53 % (22039)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.36/0.53 % (22041)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.36/0.54 % (22043)Refutation found. Thanks to Tanya!
% 1.36/0.54 % SZS status Theorem for theBenchmark
% 1.36/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.54 % (22043)------------------------------
% 1.36/0.54 % (22043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (22043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (22043)Termination reason: Refutation
% 1.36/0.54
% 1.36/0.54 % (22043)Memory used [KB]: 6140
% 1.36/0.54 % (22043)Time elapsed: 0.103 s
% 1.36/0.54 % (22043)Instructions burned: 9 (million)
% 1.36/0.54 % (22043)------------------------------
% 1.36/0.54 % (22043)------------------------------
% 1.36/0.54 % (22036)Success in time 0.179 s
%------------------------------------------------------------------------------