TSTP Solution File: NUM521+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM521+1 : 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 0.36s 0.68s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 11 unt; 0 def)
% Number of atoms : 111 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 120 ( 54 ~; 48 |; 12 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f487,plain,
$false,
inference(avatar_sat_refutation,[],[f268,f418,f430,f456,f473]) ).
fof(f473,plain,
( ~ spl4_5
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl4_5
| ~ spl4_7 ),
inference(subsumption_resolution,[],[f471,f466]) ).
fof(f466,plain,
( sdtlseqdt0(xm,xm)
| ~ spl4_5
| ~ spl4_7 ),
inference(forward_demodulation,[],[f254,f263]) ).
fof(f263,plain,
( xm = xp
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl4_7
<=> xm = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f254,plain,
( sdtlseqdt0(xm,xp)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl4_5
<=> sdtlseqdt0(xm,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f471,plain,
( ~ sdtlseqdt0(xm,xm)
| ~ spl4_7 ),
inference(forward_demodulation,[],[f216,f263]) ).
fof(f216,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f456,plain,
( ~ spl4_6
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl4_6
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f454,f436]) ).
fof(f436,plain,
( ~ sdtlseqdt0(xn,xn)
| ~ spl4_8 ),
inference(backward_demodulation,[],[f205,f267]) ).
fof(f267,plain,
( xn = xp
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl4_8
<=> xn = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f205,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f454,plain,
( sdtlseqdt0(xn,xn)
| ~ spl4_6
| ~ spl4_8 ),
inference(forward_demodulation,[],[f258,f267]) ).
fof(f258,plain,
( sdtlseqdt0(xn,xp)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl4_6
<=> sdtlseqdt0(xn,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f430,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| spl4_5 ),
inference(subsumption_resolution,[],[f428,f179]) ).
fof(f179,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f428,plain,
( ~ aNaturalNumber0(xm)
| spl4_5 ),
inference(subsumption_resolution,[],[f427,f255]) ).
fof(f255,plain,
( ~ sdtlseqdt0(xm,xp)
| spl4_5 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f427,plain,
( ~ aNaturalNumber0(xm)
| sdtlseqdt0(xm,xp) ),
inference(subsumption_resolution,[],[f405,f180]) ).
fof(f180,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f405,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f159,f216]) ).
fof(f159,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X1)
| ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X0)
| ( sdtlseqdt0(X0,X1)
& X0 != X1 )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
| sdtlseqdt0(X1,X0) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f418,plain,
spl4_6,
inference(avatar_split_clause,[],[f417,f257]) ).
fof(f417,plain,
sdtlseqdt0(xn,xp),
inference(subsumption_resolution,[],[f416,f178]) ).
fof(f178,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f416,plain,
( ~ aNaturalNumber0(xn)
| sdtlseqdt0(xn,xp) ),
inference(subsumption_resolution,[],[f401,f180]) ).
fof(f401,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f159,f205]) ).
fof(f268,plain,
( ~ spl4_5
| ~ spl4_6
| spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f189,f265,f261,f257,f253]) ).
fof(f189,plain,
( xn = xp
| xm = xp
| ~ sdtlseqdt0(xn,xp)
| ~ sdtlseqdt0(xm,xp) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ~ sdtlseqdt0(xn,xp)
| ~ sdtlseqdt0(xm,xp)
| xm = xp
| xn = xp ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
~ ( xm != xp
& xn != xp
& sdtlseqdt0(xn,xp)
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM521+1 : 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 : n013.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
% 0.13/0.34 % DateTime : Tue Aug 30 06:49:17 EDT 2022
% 0.13/0.35 % CPUTime :
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% 0.36/0.64 % (13959)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 0.36/0.66 % (13980)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 (2998ds/95Mi)
% 0.36/0.66 % (13958)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 (2998ds/51Mi)
% 0.36/0.67 % (13959)First to succeed.
% 0.36/0.67 % (13972)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.36/0.67 % (13972)Instruction limit reached!
% 0.36/0.67 % (13972)------------------------------
% 0.36/0.67 % (13972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.36/0.67 % (13972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.36/0.67 % (13972)Termination reason: Unknown
% 0.36/0.67 % (13972)Termination phase: Finite model building preprocessing
% 0.36/0.67
% 0.36/0.67 % (13972)Memory used [KB]: 1535
% 0.36/0.67 % (13972)Time elapsed: 0.003 s
% 0.36/0.67 % (13972)Instructions burned: 5 (million)
% 0.36/0.67 % (13972)------------------------------
% 0.36/0.67 % (13972)------------------------------
% 0.36/0.67 % (13967)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 (2998ds/16Mi)
% 0.36/0.67 % (13966)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.36/0.67 % (13984)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 (2998ds/24Mi)
% 0.36/0.68 % (13956)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 (2998ds/13Mi)
% 0.36/0.68 % (13975)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.36/0.68 % (13969)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 (2998ds/3Mi)
% 0.36/0.68 % (13969)Instruction limit reached!
% 0.36/0.68 % (13969)------------------------------
% 0.36/0.68 % (13969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.36/0.68 % (13959)Refutation found. Thanks to Tanya!
% 0.36/0.68 % SZS status Theorem for theBenchmark
% 0.36/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.68 % (13959)------------------------------
% 0.36/0.68 % (13959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.36/0.68 % (13959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.36/0.68 % (13959)Termination reason: Refutation
% 0.36/0.68
% 0.36/0.68 % (13959)Memory used [KB]: 6140
% 0.36/0.68 % (13959)Time elapsed: 0.111 s
% 0.36/0.68 % (13959)Instructions burned: 12 (million)
% 0.36/0.68 % (13959)------------------------------
% 0.36/0.68 % (13959)------------------------------
% 0.36/0.68 % (13821)Success in time 0.328 s
%------------------------------------------------------------------------------