TSTP Solution File: NUM482+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM482+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 : n025.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 17:59:54 EDT 2022
% Result : Theorem 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 7 unt; 0 def)
% Number of atoms : 132 ( 19 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 157 ( 65 ~; 57 |; 23 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 44 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f476,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f475]) ).
fof(f475,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f474,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f473,f199]) ).
fof(f199,plain,
isPrime0(xk),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ isPrime0(X0) )
& isPrime0(xk) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( isPrime0(xk)
=> ? [X0] :
( isPrime0(X0)
& doDivides0(X0,xk)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( isPrime0(xk)
=> ? [X0] :
( isPrime0(X0)
& doDivides0(X0,xk)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f473,plain,
( ~ isPrime0(xk)
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f472,f186]) ).
fof(f186,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aNaturalNumber0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1716) ).
fof(f472,plain,
( ~ aNaturalNumber0(xk)
| ~ isPrime0(xk)
| ~ spl4_1 ),
inference(duplicate_literal_removal,[],[f469]) ).
fof(f469,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xk)
| ~ isPrime0(xk)
| ~ spl4_1 ),
inference(resolution,[],[f462,f200]) ).
fof(f200,plain,
! [X0] :
( ~ doDivides0(X0,xk)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f462,plain,
( ! [X0] :
( doDivides0(X0,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f445,f225]) ).
fof(f225,plain,
( aNaturalNumber0(sz10)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl4_1
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f445,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz10)
| doDivides0(X0,X0) ),
inference(duplicate_literal_removal,[],[f438]) ).
fof(f438,plain,
! [X0] :
( ~ aNaturalNumber0(sz10)
| doDivides0(X0,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f436,f167]) ).
fof(f167,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f436,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f220,f192]) ).
fof(f192,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f220,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sdtasdt0(X0,X3)) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X3,X0,X1] :
( ~ aNaturalNumber0(X0)
| doDivides0(X0,X1)
| sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( ( sdtasdt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) )
| ~ aNaturalNumber0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f136,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) )
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| ~ doDivides0(X1,X0) )
& ( doDivides0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X1)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
<=> doDivides0(X1,X0) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f242,plain,
spl4_1,
inference(avatar_split_clause,[],[f171,f224]) ).
fof(f171,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz00 != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : NUM482+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.29 % Computer : n025.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 30 06:49:29 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.15/0.41 % (19618)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)
% 0.15/0.42 % (19623)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)
% 0.15/0.43 % (19634)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)
% 0.15/0.44 % (19641)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)
% 0.15/0.44 % (19618)First to succeed.
% 0.15/0.44 % (19617)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)
% 0.15/0.45 % (19623)Instruction limit reached!
% 0.15/0.45 % (19623)------------------------------
% 0.15/0.45 % (19623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45 % (19623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45 % (19623)Termination reason: Unknown
% 0.15/0.45 % (19623)Termination phase: Saturation
% 0.15/0.45
% 0.15/0.45 % (19623)Memory used [KB]: 6012
% 0.15/0.45 % (19623)Time elapsed: 0.011 s
% 0.15/0.45 % (19623)Instructions burned: 7 (million)
% 0.15/0.45 % (19623)------------------------------
% 0.15/0.45 % (19623)------------------------------
% 0.15/0.46 % (19618)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Theorem for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (19618)------------------------------
% 0.15/0.46 % (19618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (19618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46 % (19618)Termination reason: Refutation
% 0.15/0.46
% 0.15/0.46 % (19618)Memory used [KB]: 6140
% 0.15/0.46 % (19618)Time elapsed: 0.120 s
% 0.15/0.46 % (19618)Instructions burned: 11 (million)
% 0.15/0.46 % (19618)------------------------------
% 0.15/0.46 % (19618)------------------------------
% 0.15/0.46 % (19611)Success in time 0.157 s
%------------------------------------------------------------------------------