TSTP Solution File: NUM472+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM472+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Tue Apr 30 14:24:31 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 22
% Syntax : Number of formulae : 54 ( 26 unt; 0 def)
% Number of atoms : 106 ( 24 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 73 ( 21 ~; 9 |; 29 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 12 ( 4 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f257,plain,
$false,
inference(avatar_sat_refutation,[],[f200,f205,f210,f215,f220,f225,f230,f235,f240,f245,f249,f255,f256]) ).
fof(f256,plain,
( ~ spl4_6
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f250,f247,f222]) ).
fof(f222,plain,
( spl4_6
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f247,plain,
( spl4_11
<=> ! [X0] :
( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f250,plain,
( ~ aNaturalNumber0(xn)
| ~ spl4_11 ),
inference(equality_resolution,[],[f248]) ).
fof(f248,plain,
( ! [X0] :
( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f255,plain,
~ spl4_12,
inference(avatar_split_clause,[],[f115,f252]) ).
fof(f252,plain,
( spl4_12
<=> sz00 = xl ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f115,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
sz00 != xl,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).
fof(f249,plain,
spl4_11,
inference(avatar_split_clause,[],[f113,f247]) ).
fof(f113,plain,
! [X0] :
( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
& ! [X0] :
( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [X0] :
( sdtpldt0(xm,xn) = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [X0] :
( sdtpldt0(xm,xn) = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f245,plain,
spl4_10,
inference(avatar_split_clause,[],[f132,f242]) ).
fof(f242,plain,
( spl4_10
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f132,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f240,plain,
spl4_9,
inference(avatar_split_clause,[],[f131,f237]) ).
fof(f237,plain,
( spl4_9
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f131,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f235,plain,
spl4_8,
inference(avatar_split_clause,[],[f128,f232]) ).
fof(f232,plain,
( spl4_8
<=> aNaturalNumber0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f128,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK0)
& aNaturalNumber0(sK0)
& doDivides0(xl,xm)
& xm = sdtasdt0(xl,sK1)
& aNaturalNumber0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f41,f99,f98]) ).
fof(f98,plain,
( ? [X0] :
( sdtasdt0(xl,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(xm,xn) = sdtasdt0(xl,sK0)
& aNaturalNumber0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X1] :
( xm = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
=> ( xm = sdtasdt0(xl,sK1)
& aNaturalNumber0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X0] :
( sdtasdt0(xl,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X1] :
( xm = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X0] :
( sdtasdt0(xl,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
fof(f230,plain,
spl4_7,
inference(avatar_split_clause,[],[f125,f227]) ).
fof(f227,plain,
( spl4_7
<=> aNaturalNumber0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f125,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f100]) ).
fof(f225,plain,
spl4_6,
inference(avatar_split_clause,[],[f124,f222]) ).
fof(f124,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f220,plain,
spl4_5,
inference(avatar_split_clause,[],[f123,f217]) ).
fof(f217,plain,
( spl4_5
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f123,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f215,plain,
spl4_4,
inference(avatar_split_clause,[],[f122,f212]) ).
fof(f212,plain,
( spl4_4
<=> aNaturalNumber0(xl) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f122,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f210,plain,
spl4_3,
inference(avatar_split_clause,[],[f119,f207]) ).
fof(f207,plain,
( spl4_3
<=> aNaturalNumber0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f119,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( xq = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& aNaturalNumber0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
fof(f205,plain,
spl4_2,
inference(avatar_split_clause,[],[f116,f202]) ).
fof(f202,plain,
( spl4_2
<=> aNaturalNumber0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f116,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
( xp = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,xp)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
fof(f200,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f114,f197]) ).
fof(f197,plain,
( spl4_1
<=> sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f114,plain,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM472+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.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 00:01:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (26111)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (26114)WARNING: value z3 for option sas not known
% 0.14/0.37 % (26113)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (26115)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (26114)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (26116)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (26118)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (26116)First to succeed.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (26114)Also succeeded, but the first one will report.
% 0.14/0.38 % (26116)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (26116)------------------------------
% 0.14/0.38 % (26116)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (26116)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (26116)Memory used [KB]: 934
% 0.14/0.38 % (26116)Time elapsed: 0.007 s
% 0.14/0.38 % (26116)Instructions burned: 8 (million)
% 0.14/0.38 % (26116)------------------------------
% 0.14/0.38 % (26116)------------------------------
% 0.14/0.38 % (26111)Success in time 0.009 s
%------------------------------------------------------------------------------