TSTP Solution File: NUM482+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --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 18:05:22 EDT 2022
% Result : Theorem 1.47s 0.54s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 112 ( 20 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 128 ( 51 ~; 44 |; 22 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 38 ( 29 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f692,plain,
$false,
inference(avatar_sat_refutation,[],[f264,f691]) ).
fof(f691,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f690,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f689,f209]) ).
fof(f209,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716) ).
fof(f689,plain,
( ~ aNaturalNumber0(xk)
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f686,f168]) ).
fof(f168,plain,
isPrime0(xk),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( isPrime0(xk)
& ! [X0] :
( ~ doDivides0(X0,xk)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( isPrime0(xk)
=> ? [X0] :
( aNaturalNumber0(X0)
& doDivides0(X0,xk)
& isPrime0(X0) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( isPrime0(xk)
=> ? [X0] :
( aNaturalNumber0(X0)
& doDivides0(X0,xk)
& isPrime0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f686,plain,
( ~ isPrime0(xk)
| ~ aNaturalNumber0(xk)
| ~ spl4_1 ),
inference(resolution,[],[f670,f167]) ).
fof(f167,plain,
! [X0] :
( ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f670,plain,
( doDivides0(xk,xk)
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f669,f248]) ).
fof(f248,plain,
( aNaturalNumber0(sz10)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl4_1
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f669,plain,
( ~ aNaturalNumber0(sz10)
| doDivides0(xk,xk) ),
inference(subsumption_resolution,[],[f637,f209]) ).
fof(f637,plain,
( ~ aNaturalNumber0(xk)
| doDivides0(xk,xk)
| ~ aNaturalNumber0(sz10) ),
inference(duplicate_literal_removal,[],[f635]) ).
fof(f635,plain,
( ~ aNaturalNumber0(xk)
| doDivides0(xk,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[],[f244,f275]) ).
fof(f275,plain,
xk = sdtasdt0(xk,sz10),
inference(resolution,[],[f185,f209]) ).
fof(f185,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) = X0
& sdtasdt0(sz10,X0) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& sdtasdt0(sz10,X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f244,plain,
! [X3,X0] :
( doDivides0(X0,sdtasdt0(X0,X3))
| ~ aNaturalNumber0(sdtasdt0(X0,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f224]) ).
fof(f224,plain,
! [X3,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( ( ( aNaturalNumber0(sK3(X0,X1))
& sdtasdt0(X0,sK3(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f155,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
=> ( aNaturalNumber0(sK3(X0,X1))
& sdtasdt0(X0,sK3(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0,X1] :
( ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
| ~ doDivides0(X0,X1) )
& ( doDivides0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtasdt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f154]) ).
fof(f154,plain,
! [X1,X0] :
( ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
| ~ doDivides0(X1,X0) )
& ( doDivides0(X1,X0)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != X0 ) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> doDivides0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = X0 )
<=> 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/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f264,plain,
spl4_1,
inference(avatar_split_clause,[],[f208,f247]) ).
fof(f208,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz00 != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM482+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_sat --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 06:41:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (13374)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 % (13390)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (13382)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (13385)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (13371)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 (2999ds/191324Mi)
% 1.30/0.52 % (13395)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 (2999ds/467Mi)
% 1.30/0.52 % (13390)First to succeed.
% 1.30/0.52 % (13387)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 (2999ds/75Mi)
% 1.30/0.52 % (13376)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.30/0.52 % (13398)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 (2999ds/68Mi)
% 1.30/0.53 % (13377)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.53 % (13384)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.30/0.53 % (13379)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.53 % (13379)Instruction limit reached!
% 1.30/0.53 % (13379)------------------------------
% 1.30/0.53 % (13379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (13379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (13379)Termination reason: Unknown
% 1.30/0.53 % (13379)Termination phase: Preprocessing 2
% 1.30/0.53
% 1.30/0.53 % (13379)Memory used [KB]: 895
% 1.30/0.53 % (13379)Time elapsed: 0.002 s
% 1.30/0.53 % (13379)Instructions burned: 2 (million)
% 1.30/0.53 % (13379)------------------------------
% 1.30/0.53 % (13379)------------------------------
% 1.30/0.53 % (13378)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.53 % (13386)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 (2999ds/68Mi)
% 1.30/0.54 % (13373)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.30/0.54 % (13400)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.30/0.54 TRYING [3]
% 1.30/0.54 % (13396)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.54 % (13380)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.47/0.54 % (13378)Instruction limit reached!
% 1.47/0.54 % (13378)------------------------------
% 1.47/0.54 % (13378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (13378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (13378)Termination reason: Unknown
% 1.47/0.54 % (13378)Termination phase: Saturation
% 1.47/0.54
% 1.47/0.54 % (13378)Memory used [KB]: 5628
% 1.47/0.54 % (13378)Time elapsed: 0.088 s
% 1.47/0.54 % (13378)Instructions burned: 7 (million)
% 1.47/0.54 % (13378)------------------------------
% 1.47/0.54 % (13378)------------------------------
% 1.47/0.54 % (13401)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.47/0.54 % (13382)Also succeeded, but the first one will report.
% 1.47/0.54 % (13390)Refutation found. Thanks to Tanya!
% 1.47/0.54 % SZS status Theorem for theBenchmark
% 1.47/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.54 % (13390)------------------------------
% 1.47/0.54 % (13390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (13390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (13390)Termination reason: Refutation
% 1.47/0.54
% 1.47/0.54 % (13390)Memory used [KB]: 5884
% 1.47/0.54 % (13390)Time elapsed: 0.120 s
% 1.47/0.54 % (13390)Instructions burned: 30 (million)
% 1.47/0.54 % (13390)------------------------------
% 1.47/0.54 % (13390)------------------------------
% 1.47/0.54 % (13367)Success in time 0.191 s
%------------------------------------------------------------------------------