TSTP Solution File: NUM472+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM472+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 : n003.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 17:59:50 EDT 2022
% Result : Theorem 1.28s 0.51s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 110 ( 12 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 123 ( 50 ~; 47 |; 16 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f673,plain,
$false,
inference(avatar_sat_refutation,[],[f240,f284,f286,f671]) ).
fof(f671,plain,
( ~ spl2_2
| ~ spl2_7
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f649,f235,f281,f231]) ).
fof(f231,plain,
( spl2_2
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f281,plain,
( spl2_7
<=> aNaturalNumber0(xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f235,plain,
( spl2_3
<=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f649,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f208,f194]) ).
fof(f194,plain,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(flattening,[],[f40]) ).
fof(f40,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f208,plain,
! [X2,X1] :
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(equality_resolution,[],[f192]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtpldt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( sdtlseqdt0(X1,X0)
| ! [X2] :
( sdtpldt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X1,sK1(X0,X1)) = X0
& aNaturalNumber0(sK1(X0,X1)) )
| ~ sdtlseqdt0(X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f133,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X1,X3) = X0
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X1,sK1(X0,X1)) = X0
& aNaturalNumber0(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( sdtlseqdt0(X1,X0)
| ! [X2] :
( sdtpldt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtpldt0(X1,X3) = X0
& aNaturalNumber0(X3) )
| ~ sdtlseqdt0(X1,X0) ) ) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f286,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| spl2_7 ),
inference(resolution,[],[f283,f185]) ).
fof(f185,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f283,plain,
( ~ aNaturalNumber0(xn)
| spl2_7 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( ~ spl2_2
| ~ spl2_7
| spl2_3 ),
inference(avatar_split_clause,[],[f279,f235,f281,f231]) ).
fof(f279,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl2_3 ),
inference(resolution,[],[f237,f148]) ).
fof(f148,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f237,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl2_3 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f240,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| spl2_2 ),
inference(resolution,[],[f233,f184]) ).
fof(f184,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f233,plain,
( ~ aNaturalNumber0(xm)
| spl2_2 ),
inference(avatar_component_clause,[],[f231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM472+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 : n003.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 06:39:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (6695)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (6717)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)
% 0.19/0.50 % (6709)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)
% 0.19/0.50 % (6709)Instruction limit reached!
% 0.19/0.50 % (6709)------------------------------
% 0.19/0.50 % (6709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (6709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (6709)Termination reason: Unknown
% 0.19/0.50 % (6709)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (6709)Memory used [KB]: 1535
% 0.19/0.50 % (6709)Time elapsed: 0.005 s
% 0.19/0.50 % (6709)Instructions burned: 4 (million)
% 0.19/0.50 % (6709)------------------------------
% 0.19/0.50 % (6709)------------------------------
% 0.19/0.50 % (6701)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)
% 0.19/0.51 % (6699)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)
% 0.19/0.51 % (6700)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)
% 0.19/0.51 % (6717)First to succeed.
% 1.28/0.51 % (6701)Also succeeded, but the first one will report.
% 1.28/0.51 % (6704)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.28/0.51 % (6717)Refutation found. Thanks to Tanya!
% 1.28/0.51 % SZS status Theorem for theBenchmark
% 1.28/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.51 % (6717)------------------------------
% 1.28/0.51 % (6717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.51 % (6717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.51 % (6717)Termination reason: Refutation
% 1.28/0.51
% 1.28/0.51 % (6717)Memory used [KB]: 6140
% 1.28/0.51 % (6717)Time elapsed: 0.068 s
% 1.28/0.51 % (6717)Instructions burned: 11 (million)
% 1.28/0.51 % (6717)------------------------------
% 1.28/0.51 % (6717)------------------------------
% 1.28/0.51 % (6694)Success in time 0.165 s
%------------------------------------------------------------------------------