TSTP Solution File: NUM477+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM477+2 : 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 : n011.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 18:05:21 EDT 2022
% Result : Theorem 1.42s 0.57s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 76 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 25 ~; 24 |; 15 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f371,plain,
$false,
inference(avatar_sat_refutation,[],[f346,f370]) ).
fof(f370,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f368,f174]) ).
fof(f174,plain,
sz00 != xn,
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( doDivides0(xm,xn)
& sz00 != xn
& aNaturalNumber0(sK1)
& xn = sdtasdt0(xm,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f36,f126]) ).
fof(f126,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xm,X0) )
=> ( aNaturalNumber0(sK1)
& xn = sdtasdt0(xm,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
( doDivides0(xm,xn)
& sz00 != xn
& ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xm,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494_04) ).
fof(f368,plain,
( sz00 = xn
| ~ spl3_2 ),
inference(forward_demodulation,[],[f358,f225]) ).
fof(f225,plain,
sz00 = sdtasdt0(xm,sz00),
inference(resolution,[],[f151,f154]) ).
fof(f154,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494) ).
fof(f151,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f358,plain,
( xn = sdtasdt0(xm,sz00)
| ~ spl3_2 ),
inference(backward_demodulation,[],[f172,f341]) ).
fof(f341,plain,
( sz00 = sK1
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl3_2
<=> sz00 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f172,plain,
xn = sdtasdt0(xm,sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f346,plain,
spl3_2,
inference(avatar_split_clause,[],[f345,f339]) ).
fof(f345,plain,
sz00 = sK1,
inference(subsumption_resolution,[],[f344,f138]) ).
fof(f138,plain,
~ sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xm,X0) )
& ~ sdtlseqdt0(xm,xn) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
| ? [X0] :
( xn = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
( sdtlseqdt0(xm,xn)
| ? [X0] :
( xn = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f344,plain,
( sz00 = sK1
| sdtlseqdt0(xm,xn) ),
inference(subsumption_resolution,[],[f343,f154]) ).
fof(f343,plain,
( sz00 = sK1
| ~ aNaturalNumber0(xm)
| sdtlseqdt0(xm,xn) ),
inference(subsumption_resolution,[],[f322,f173]) ).
fof(f173,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f127]) ).
fof(f322,plain,
( ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| sz00 = sK1
| sdtlseqdt0(xm,xn) ),
inference(superposition,[],[f145,f172]) ).
fof(f145,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM477+2 : 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
% 0.14/0.34 % Computer : n011.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 06:36:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (17219)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (17210)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (17207)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)
% 0.20/0.52 % (17203)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)
% 1.31/0.53 % (17198)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)
% 1.31/0.53 % (17202)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.53 % (17201)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)
% 1.31/0.53 % (17200)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)
% 1.31/0.53 TRYING [1]
% 1.31/0.53 % (17224)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)
% 1.31/0.53 TRYING [2]
% 1.31/0.54 % (17205)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.54 % (17206)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.54 % (17208)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.54 % (17206)Instruction limit reached!
% 1.31/0.54 % (17206)------------------------------
% 1.31/0.54 % (17206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54 % (17206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54 % (17206)Termination reason: Unknown
% 1.31/0.54 % (17206)Termination phase: shuffling
% 1.31/0.54
% 1.31/0.54 % (17206)Memory used [KB]: 895
% 1.31/0.54 % (17206)Time elapsed: 0.003 s
% 1.31/0.54 % (17206)Instructions burned: 2 (million)
% 1.31/0.54 % (17206)------------------------------
% 1.31/0.54 % (17206)------------------------------
% 1.31/0.54 % (17220)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 (2999ds/498Mi)
% 1.31/0.54 % (17205)Instruction limit reached!
% 1.31/0.54 % (17205)------------------------------
% 1.31/0.54 % (17205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54 % (17205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54 % (17205)Termination reason: Unknown
% 1.31/0.54 % (17205)Termination phase: Saturation
% 1.31/0.54
% 1.31/0.54 % (17205)Memory used [KB]: 5500
% 1.31/0.54 % (17205)Time elapsed: 0.137 s
% 1.31/0.54 % (17205)Instructions burned: 8 (million)
% 1.31/0.54 % (17205)------------------------------
% 1.31/0.54 % (17205)------------------------------
% 1.31/0.54 % (17222)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.54 % (17221)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)
% 1.42/0.54 % (17225)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.42/0.54 % (17214)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55 % (17218)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.42/0.55 % (17216)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.55 % (17223)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.42/0.55 % (17199)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.55 % (17215)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.55 % (17217)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.55 % (17204)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)
% 1.42/0.55 % (17199)Refutation not found, incomplete strategy% (17199)------------------------------
% 1.42/0.55 % (17199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (17199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (17199)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55
% 1.42/0.55 % (17199)Memory used [KB]: 5628
% 1.42/0.55 % (17199)Time elapsed: 0.147 s
% 1.42/0.55 % (17199)Instructions burned: 7 (million)
% 1.42/0.55 % (17199)------------------------------
% 1.42/0.55 % (17199)------------------------------
% 1.42/0.55 TRYING [1]
% 1.42/0.55 % (17226)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.55 TRYING [2]
% 1.42/0.55 TRYING [1]
% 1.42/0.55 % (17211)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55 TRYING [3]
% 1.42/0.55 % (17213)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)
% 1.42/0.56 % (17216)First to succeed.
% 1.42/0.57 % (17216)Refutation found. Thanks to Tanya!
% 1.42/0.57 % SZS status Theorem for theBenchmark
% 1.42/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.57 % (17216)------------------------------
% 1.42/0.57 % (17216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57 % (17216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57 % (17216)Termination reason: Refutation
% 1.42/0.57
% 1.42/0.57 % (17216)Memory used [KB]: 5628
% 1.42/0.57 % (17216)Time elapsed: 0.154 s
% 1.42/0.57 % (17216)Instructions burned: 12 (million)
% 1.42/0.57 % (17216)------------------------------
% 1.42/0.57 % (17216)------------------------------
% 1.42/0.57 % (17190)Success in time 0.211 s
%------------------------------------------------------------------------------