TSTP Solution File: NUM519+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM519+3 : 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 : n013.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 18:00:18 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 75 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 18 ~; 16 |; 28 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 2 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f433,plain,
$false,
inference(avatar_sat_refutation,[],[f405,f410,f431,f432]) ).
fof(f432,plain,
~ spl20_6,
inference(avatar_split_clause,[],[f346,f402]) ).
fof(f402,plain,
( spl20_6
<=> doDivides0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f346,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xr,X0) )
& ~ doDivides0(xr,xn) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
~ ( doDivides0(xr,xn)
| ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f431,plain,
~ spl20_7,
inference(avatar_split_clause,[],[f248,f407]) ).
fof(f407,plain,
( spl20_7
<=> doDivides0(xr,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f248,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ~ doDivides0(xr,xm)
& ! [X0] :
( xm != sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
~ ( doDivides0(xr,xm)
| ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2698) ).
fof(f410,plain,
( ~ spl20_2
| spl20_7 ),
inference(avatar_split_clause,[],[f232,f407,f382]) ).
fof(f382,plain,
( spl20_2
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f232,plain,
( doDivides0(xr,xm)
| ~ sP0 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( xm = sdtasdt0(xr,sK4)
& aNaturalNumber0(sK4)
& doDivides0(xr,xm) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f165,f166]) ).
fof(f166,plain,
( ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( xm = sdtasdt0(xr,sK4)
& aNaturalNumber0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ( ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& doDivides0(xr,xm) )
| ~ sP0 ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
( ( ? [X1] :
( xm = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) )
& doDivides0(xr,xm) )
| ~ sP0 ),
inference(nnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( ? [X1] :
( xm = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) )
& doDivides0(xr,xm) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f405,plain,
( spl20_6
| spl20_2 ),
inference(avatar_split_clause,[],[f237,f382,f402]) ).
fof(f237,plain,
( sP0
| doDivides0(xr,xn) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( doDivides0(xr,xn)
& aNaturalNumber0(sK5)
& xn = sdtasdt0(xr,sK5) )
| sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f158,f168]) ).
fof(f168,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
=> ( aNaturalNumber0(sK5)
& xn = sdtasdt0(xr,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ( doDivides0(xr,xn)
& ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) ) )
| sP0 ),
inference(definition_folding,[],[f61,f157]) ).
fof(f61,plain,
( ( doDivides0(xr,xn)
& ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) ) )
| ( ? [X1] :
( xm = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) )
& doDivides0(xr,xm) ) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
( ( doDivides0(xr,xn)
& ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) ) )
| ( ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& doDivides0(xr,xm) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM519+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:48:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.51 % (11624)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)
% 0.21/0.52 % (11629)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (11623)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.52 % (11641)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)
% 0.21/0.52 % (11633)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)
% 0.21/0.53 % (11640)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)
% 0.21/0.53 % (11639)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53 % (11622)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)
% 0.21/0.53 % (11630)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.53 % (11624)First to succeed.
% 0.21/0.53 % (11629)Instruction limit reached!
% 0.21/0.53 % (11629)------------------------------
% 0.21/0.53 % (11629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11629)Termination reason: Unknown
% 0.21/0.53 % (11629)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (11629)Memory used [KB]: 6140
% 0.21/0.53 % (11629)Time elapsed: 0.005 s
% 0.21/0.53 % (11629)Instructions burned: 8 (million)
% 0.21/0.53 % (11629)------------------------------
% 0.21/0.53 % (11629)------------------------------
% 0.21/0.53 % (11621)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (11622)Instruction limit reached!
% 0.21/0.54 % (11622)------------------------------
% 0.21/0.54 % (11622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (11643)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)
% 0.21/0.54 % (11618)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (11631)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (11628)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.54 % (11632)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (11618)Also succeeded, but the first one will report.
% 0.21/0.54 % (11619)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.54 % (11644)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (11633)Instruction limit reached!
% 0.21/0.54 % (11633)------------------------------
% 0.21/0.54 % (11633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (11633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (11633)Termination reason: Unknown
% 0.21/0.54 % (11633)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (11633)Memory used [KB]: 6140
% 0.21/0.54 % (11633)Time elapsed: 0.010 s
% 0.21/0.54 % (11633)Instructions burned: 7 (million)
% 0.21/0.54 % (11633)------------------------------
% 0.21/0.54 % (11633)------------------------------
% 0.21/0.54 % (11647)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.54 % (11628)Instruction limit reached!
% 0.21/0.54 % (11628)------------------------------
% 0.21/0.54 % (11628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (11628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (11628)Termination reason: Unknown
% 0.21/0.54 % (11628)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (11628)Memory used [KB]: 6268
% 0.21/0.54 % (11628)Time elapsed: 0.132 s
% 0.21/0.54 % (11628)Instructions burned: 12 (million)
% 0.21/0.54 % (11628)------------------------------
% 0.21/0.54 % (11628)------------------------------
% 0.21/0.55 % (11624)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (11624)------------------------------
% 0.21/0.55 % (11624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (11624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (11624)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (11624)Memory used [KB]: 6140
% 0.21/0.55 % (11624)Time elapsed: 0.117 s
% 0.21/0.55 % (11624)Instructions burned: 9 (million)
% 0.21/0.55 % (11624)------------------------------
% 0.21/0.55 % (11624)------------------------------
% 0.21/0.55 % (11614)Success in time 0.192 s
%------------------------------------------------------------------------------