TSTP Solution File: NUM491+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM491+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_sat --cores 0 -t %d %s
% Computer : n027.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 18:05:25 EDT 2022
% Result : Theorem 1.73s 0.72s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 11 unt; 3 typ; 0 def)
% Number of atoms : 98 ( 13 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 113 ( 46 ~; 40 |; 18 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 40 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ5_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_8,type,
sQ6_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_9,type,
sQ7_eqProxy: ( $real * $real ) > $o ).
fof(f606,plain,
$false,
inference(subsumption_resolution,[],[f605,f306]) ).
fof(f306,plain,
aNaturalNumber0(xp),
inference(literal_reordering,[],[f214]) ).
fof(f214,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f605,plain,
~ aNaturalNumber0(xp),
inference(subsumption_resolution,[],[f598,f326]) ).
fof(f326,plain,
aNaturalNumber0(xm),
inference(literal_reordering,[],[f213]) ).
fof(f213,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f598,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f597,f342]) ).
fof(f342,plain,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(literal_reordering,[],[f206]) ).
fof(f206,plain,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(flattening,[],[f49]) ).
fof(f49,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
doDivides0(xp,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f597,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3) ),
inference(subsumption_resolution,[],[f316,f288]) ).
fof(f288,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(literal_reordering,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f316,plain,
! [X3,X0] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(sdtasdt0(X0,X3)) ),
inference(literal_reordering,[],[f262]) ).
fof(f262,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X3)) ),
inference(equality_resolution,[],[f235]) ).
fof(f235,plain,
! [X3,X0,X1] :
( ~ aNaturalNumber0(X1)
| doDivides0(X0,X1)
| sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ( sdtasdt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f158,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ( ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X3) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| ~ doDivides0(X1,X0) )
& ( doDivides0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ) ) )
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
<=> doDivides0(X1,X0) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
<=> doDivides0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM491+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 06:59:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.36 ipcrm: permission denied for id (669319169)
% 0.14/0.36 ipcrm: permission denied for id (669351938)
% 0.14/0.38 ipcrm: permission denied for id (669417487)
% 0.20/0.40 ipcrm: permission denied for id (669614111)
% 0.20/0.40 ipcrm: permission denied for id (669646880)
% 0.20/0.41 ipcrm: permission denied for id (669679659)
% 0.20/0.43 ipcrm: permission denied for id (669745218)
% 0.20/0.44 ipcrm: permission denied for id (669777989)
% 0.20/0.44 ipcrm: permission denied for id (669810767)
% 0.20/0.45 ipcrm: permission denied for id (669876313)
% 0.20/0.46 ipcrm: permission denied for id (669941853)
% 0.20/0.47 ipcrm: permission denied for id (670072944)
% 0.20/0.48 ipcrm: permission denied for id (670138484)
% 1.43/0.66 % (7521)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/498Mi)
% 1.43/0.66 % (7505)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.43/0.67 TRYING [1]
% 1.43/0.67 % (7522)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/467Mi)
% 1.43/0.67 % (7513)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.43/0.67 % (7514)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 1.43/0.67 TRYING [2]
% 1.43/0.68 TRYING [3]
% 1.43/0.69 % (7506)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.73/0.70 % (7503)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.73/0.70 % (7506)Instruction limit reached!
% 1.73/0.70 % (7506)------------------------------
% 1.73/0.70 % (7506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.70 % (7506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.70 % (7506)Termination reason: Unknown
% 1.73/0.70 % (7506)Termination phase: Saturation
% 1.73/0.70
% 1.73/0.70 % (7506)Memory used [KB]: 5628
% 1.73/0.70 % (7506)Time elapsed: 0.093 s
% 1.73/0.70 % (7506)Instructions burned: 8 (million)
% 1.73/0.70 % (7506)------------------------------
% 1.73/0.70 % (7506)------------------------------
% 1.73/0.71 % (7499)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 1.73/0.71 % (7513)First to succeed.
% 1.73/0.72 % (7500)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.73/0.72 % (7513)Refutation found. Thanks to Tanya!
% 1.73/0.72 % SZS status Theorem for theBenchmark
% 1.73/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.72 % (7513)------------------------------
% 1.73/0.72 % (7513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.72 % (7513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.72 % (7513)Termination reason: Refutation
% 1.73/0.72
% 1.73/0.72 % (7513)Memory used [KB]: 6012
% 1.73/0.72 % (7513)Time elapsed: 0.015 s
% 1.73/0.72 % (7513)Instructions burned: 13 (million)
% 1.73/0.72 % (7513)------------------------------
% 1.73/0.72 % (7513)------------------------------
% 1.73/0.72 % (7349)Success in time 0.365 s
%------------------------------------------------------------------------------