TSTP Solution File: NUM464+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM464+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_uns --cores 0 -t %d %s
% Computer : n004.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 17:59:46 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 11 unt; 0 def)
% Number of atoms : 129 ( 42 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 134 ( 57 ~; 52 |; 14 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f463,plain,
$false,
inference(avatar_sat_refutation,[],[f240,f242,f244,f310,f343,f449,f460]) ).
fof(f460,plain,
~ spl1_14,
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| ~ spl1_14 ),
inference(trivial_inequality_removal,[],[f458]) ).
fof(f458,plain,
( sz00 != sz00
| ~ spl1_14 ),
inference(superposition,[],[f141,f448]) ).
fof(f448,plain,
( sz00 = xm
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl1_14
<=> sz00 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f141,plain,
sz00 != xm,
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( sz00 != xm
& ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtpldt0(sz10,X0) )
& ~ sdtlseqdt0(sz10,xm) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
( ~ sdtlseqdt0(sz10,xm)
& ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtpldt0(sz10,X0) )
& sz00 != xm ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ( sz00 != xm
=> ( sdtlseqdt0(sz10,xm)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtpldt0(sz10,X0) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
( sz00 != xm
=> ( sdtlseqdt0(sz10,xm)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtpldt0(sz10,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f449,plain,
( spl1_14
| spl1_1
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f444,f194,f162,f446]) ).
fof(f162,plain,
( spl1_1
<=> sz10 = xm ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f194,plain,
( spl1_5
<=> aNaturalNumber0(xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f444,plain,
( ~ aNaturalNumber0(xm)
| sz10 = xm
| sz00 = xm ),
inference(resolution,[],[f124,f139]) ).
fof(f139,plain,
~ sdtlseqdt0(sz10,xm),
inference(cnf_transformation,[],[f49]) ).
fof(f124,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz10 = X0
| sz00 = X0
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
fof(f343,plain,
( ~ spl1_1
| ~ spl1_3
| ~ spl1_2
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f333,f227,f166,f170,f162]) ).
fof(f170,plain,
( spl1_3
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f166,plain,
( spl1_2
<=> aNaturalNumber0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f227,plain,
( spl1_7
<=> ! [X1] :
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f333,plain,
( ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| sz10 != xm
| ~ spl1_7 ),
inference(superposition,[],[f140,f228]) ).
fof(f228,plain,
( ! [X1] :
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f140,plain,
! [X0] :
( xm != sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f310,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| spl1_5 ),
inference(resolution,[],[f196,f130]) ).
fof(f130,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__987) ).
fof(f196,plain,
( ~ aNaturalNumber0(xm)
| spl1_5 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f244,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| spl1_3 ),
inference(resolution,[],[f172,f133]) ).
fof(f133,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f172,plain,
( ~ aNaturalNumber0(sz00)
| spl1_3 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f242,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f241,plain,
( $false
| spl1_2 ),
inference(resolution,[],[f168,f112]) ).
fof(f112,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz00 != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f168,plain,
( ~ aNaturalNumber0(sz10)
| spl1_2 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f240,plain,
( ~ spl1_3
| spl1_7 ),
inference(avatar_split_clause,[],[f210,f227,f170]) ).
fof(f210,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f103,f113]) ).
fof(f113,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f103,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM464+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 06:33:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.51 % (5964)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51 % (5969)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.51 % (5976)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)
% 0.18/0.51 % (5987)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.51 % (5988)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (5971)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)
% 0.18/0.51 % (5965)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (5963)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51 % (5980)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (5970)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.51 % (5966)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)
% 0.18/0.51 % (5975)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (5978)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (5973)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)
% 0.18/0.52 % (5984)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)
% 0.18/0.52 % (5990)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.52 % (5972)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.52 % (5984)First to succeed.
% 0.18/0.52 % (5982)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.52 % (5981)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.52 % (5986)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (5964)Instruction limit reached!
% 0.18/0.52 % (5964)------------------------------
% 0.18/0.52 % (5964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (5964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (5964)Termination reason: Unknown
% 0.18/0.52 % (5964)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (5964)Memory used [KB]: 6012
% 0.18/0.52 % (5964)Time elapsed: 0.125 s
% 0.18/0.52 % (5964)Instructions burned: 4 (million)
% 0.18/0.52 % (5964)------------------------------
% 0.18/0.52 % (5964)------------------------------
% 0.18/0.52 % (5991)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)
% 0.18/0.52 % (5980)Instruction limit reached!
% 0.18/0.52 % (5980)------------------------------
% 0.18/0.52 % (5980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (5980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (5980)Termination reason: Unknown
% 0.18/0.52 % (5980)Termination phase: Preprocessing 1
% 0.18/0.52
% 0.18/0.52 % (5980)Memory used [KB]: 1407
% 0.18/0.52 % (5980)Time elapsed: 0.002 s
% 0.18/0.52 % (5980)Instructions burned: 2 (million)
% 0.18/0.52 % (5980)------------------------------
% 0.18/0.52 % (5980)------------------------------
% 0.18/0.52 % (5968)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)
% 0.18/0.52 % (5989)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52 % (5974)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.53 % (5983)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (5962)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.53 % (5976)Instruction limit reached!
% 0.18/0.53 % (5976)------------------------------
% 0.18/0.53 % (5976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (5976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (5976)Termination reason: Unknown
% 0.18/0.53 % (5976)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (5976)Memory used [KB]: 6012
% 0.18/0.53 % (5976)Time elapsed: 0.004 s
% 0.18/0.53 % (5976)Instructions burned: 3 (million)
% 0.18/0.53 % (5976)------------------------------
% 0.18/0.53 % (5976)------------------------------
% 0.18/0.53 % (5967)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)
% 0.18/0.53 % (5985)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.53 % (5990)Instruction limit reached!
% 0.18/0.53 % (5990)------------------------------
% 0.18/0.53 % (5990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (5990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (5990)Termination reason: Unknown
% 0.18/0.53 % (5990)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (5990)Memory used [KB]: 6140
% 0.18/0.53 % (5990)Time elapsed: 0.138 s
% 0.18/0.53 % (5990)Instructions burned: 8 (million)
% 0.18/0.53 % (5990)------------------------------
% 0.18/0.53 % (5990)------------------------------
% 0.18/0.54 % (5984)Refutation found. Thanks to Tanya!
% 0.18/0.54 % SZS status Theorem for theBenchmark
% 0.18/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54 % (5984)------------------------------
% 0.18/0.54 % (5984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (5984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (5984)Termination reason: Refutation
% 0.18/0.54
% 0.18/0.54 % (5984)Memory used [KB]: 6140
% 0.18/0.54 % (5984)Time elapsed: 0.124 s
% 0.18/0.54 % (5984)Instructions burned: 7 (million)
% 0.18/0.54 % (5984)------------------------------
% 0.18/0.54 % (5984)------------------------------
% 0.18/0.54 % (5961)Success in time 0.191 s
%------------------------------------------------------------------------------