TSTP Solution File: GEO010-3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 : Sun May 5 05:08:36 EDT 2024
% Result : Unsatisfiable 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 79 ( 3 unt; 0 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 165 ( 68 ~; 86 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 12 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f211,plain,
$false,
inference(avatar_sat_refutation,[],[f113,f124,f137,f151,f159,f163,f164,f165,f173,f177,f179,f180,f191,f193,f194,f195,f205,f207,f209,f210]) ).
fof(f210,plain,
( ~ spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f202,f110,f134]) ).
fof(f134,plain,
( spl0_8
<=> between(b,c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f110,plain,
( spl0_5
<=> colinear(c,b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f202,plain,
( ~ between(b,c,a)
| spl0_5 ),
inference(resolution,[],[f112,f90]) ).
fof(f90,axiom,
! [X3,X10,X5] :
( colinear(X10,X3,X5)
| ~ between(X3,X10,X5) ),
file('/export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598',c2_3) ).
fof(f112,plain,
( ~ colinear(c,b,a)
| spl0_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f209,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f208,plain,
( $false
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f201,f128]) ).
fof(f128,plain,
( between(c,a,b)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl0_6
<=> between(c,a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f201,plain,
( ~ between(c,a,b)
| spl0_5 ),
inference(resolution,[],[f112,f89]) ).
fof(f89,axiom,
! [X3,X10,X5] :
( colinear(X10,X3,X5)
| ~ between(X10,X5,X3) ),
file('/export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598',c2_2) ).
fof(f207,plain,
( ~ spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f200,f110,f130]) ).
fof(f130,plain,
( spl0_7
<=> between(a,b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f200,plain,
( ~ between(a,b,c)
| spl0_5 ),
inference(resolution,[],[f112,f88]) ).
fof(f88,axiom,
! [X3,X10,X5] :
( colinear(X10,X3,X5)
| ~ between(X5,X3,X10) ),
file('/export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598',c2_1) ).
fof(f205,plain,
( spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f198,f142]) ).
fof(f142,plain,
( between(b,a,c)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl0_9
<=> between(b,a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f198,plain,
( ~ between(b,a,c)
| spl0_5 ),
inference(resolution,[],[f112,f20]) ).
fof(f20,axiom,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ between(X1,X2,X0) ),
file('/export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598',colinearity2) ).
fof(f195,plain,
( ~ spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f187,f106,f144]) ).
fof(f144,plain,
( spl0_10
<=> between(a,c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f106,plain,
( spl0_4
<=> colinear(c,a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f187,plain,
( ~ between(a,c,b)
| spl0_4 ),
inference(resolution,[],[f108,f90]) ).
fof(f108,plain,
( ~ colinear(c,a,b)
| spl0_4 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f194,plain,
( ~ spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f186,f106,f148]) ).
fof(f148,plain,
( spl0_11
<=> between(c,b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f186,plain,
( ~ between(c,b,a)
| spl0_4 ),
inference(resolution,[],[f108,f89]) ).
fof(f193,plain,
( spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f192]) ).
fof(f192,plain,
( $false
| spl0_4
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f185,f142]) ).
fof(f185,plain,
( ~ between(b,a,c)
| spl0_4 ),
inference(resolution,[],[f108,f88]) ).
fof(f191,plain,
( ~ spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f184,f106,f134]) ).
fof(f184,plain,
( ~ between(b,c,a)
| spl0_4 ),
inference(resolution,[],[f108,f21]) ).
fof(f21,axiom,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ between(X2,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598',colinearity3) ).
fof(f180,plain,
( ~ spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f172,f102,f148]) ).
fof(f102,plain,
( spl0_3
<=> colinear(b,c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f172,plain,
( ~ between(c,b,a)
| spl0_3 ),
inference(resolution,[],[f104,f90]) ).
fof(f104,plain,
( ~ colinear(b,c,a)
| spl0_3 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f179,plain,
( spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f171,f142]) ).
fof(f171,plain,
( ~ between(b,a,c)
| spl0_3 ),
inference(resolution,[],[f104,f89]) ).
fof(f177,plain,
( ~ spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f170,f102,f144]) ).
fof(f170,plain,
( ~ between(a,c,b)
| spl0_3 ),
inference(resolution,[],[f104,f88]) ).
fof(f173,plain,
( ~ spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f167,f102,f134]) ).
fof(f167,plain,
( ~ between(b,c,a)
| spl0_3 ),
inference(resolution,[],[f104,f19]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598',colinearity1) ).
fof(f165,plain,
( ~ spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f157,f98,f130]) ).
fof(f98,plain,
( spl0_2
<=> colinear(b,a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f157,plain,
( ~ between(a,b,c)
| spl0_2 ),
inference(resolution,[],[f100,f90]) ).
fof(f100,plain,
( ~ colinear(b,a,c)
| spl0_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f164,plain,
( ~ spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f156,f98,f134]) ).
fof(f156,plain,
( ~ between(b,c,a)
| spl0_2 ),
inference(resolution,[],[f100,f89]) ).
fof(f163,plain,
( spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f162,plain,
( $false
| spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f155,f128]) ).
fof(f155,plain,
( ~ between(c,a,b)
| spl0_2 ),
inference(resolution,[],[f100,f88]) ).
fof(f159,plain,
( spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f158,plain,
( $false
| spl0_2
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f152,f142]) ).
fof(f152,plain,
( ~ between(b,a,c)
| spl0_2 ),
inference(resolution,[],[f100,f19]) ).
fof(f151,plain,
( spl0_9
| spl0_10
| spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f138,f94,f148,f144,f140]) ).
fof(f94,plain,
( spl0_1
<=> colinear(a,c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f138,plain,
( between(c,b,a)
| between(a,c,b)
| between(b,a,c)
| ~ spl0_1 ),
inference(resolution,[],[f95,f22]) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X1,X2,X0)
| between(X0,X1,X2)
| between(X2,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598',colinearity4) ).
fof(f95,plain,
( colinear(a,c,b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f137,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f120,f134,f130,f126]) ).
fof(f120,plain,
( between(b,c,a)
| between(a,b,c)
| between(c,a,b) ),
inference(resolution,[],[f91,f22]) ).
fof(f91,axiom,
colinear(a,b,c),
file('/export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598',abc_colinear) ).
fof(f124,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f122,f119]) ).
fof(f119,plain,
( ~ between(c,a,b)
| spl0_1 ),
inference(resolution,[],[f96,f90]) ).
fof(f96,plain,
( ~ colinear(a,c,b)
| spl0_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f122,plain,
( between(c,a,b)
| spl0_1 ),
inference(subsumption_resolution,[],[f121,f118]) ).
fof(f118,plain,
( ~ between(a,b,c)
| spl0_1 ),
inference(resolution,[],[f96,f89]) ).
fof(f121,plain,
( between(a,b,c)
| between(c,a,b)
| spl0_1 ),
inference(subsumption_resolution,[],[f120,f117]) ).
fof(f117,plain,
( ~ between(b,c,a)
| spl0_1 ),
inference(resolution,[],[f96,f88]) ).
fof(f113,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f92,f110,f106,f102,f98,f94]) ).
fof(f92,axiom,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
file('/export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598',prove_colinear_in_all_orders) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n029.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 21:59:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BhVfGC1mPo/Vampire---4.8_3598
% 0.61/0.77 % (3849)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.61/0.77 % (3842)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.61/0.77 % (3846)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.61/0.77 % (3844)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77 % (3847)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.77 % (3849)First to succeed.
% 0.61/0.77 % (3849)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3837"
% 0.61/0.77 % (3848)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.61/0.77 % (3843)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.61/0.77 % (3842)Also succeeded, but the first one will report.
% 0.61/0.77 % (3849)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77 % (3849)------------------------------
% 0.61/0.77 % (3849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (3849)Termination reason: Refutation
% 0.61/0.77
% 0.61/0.77 % (3849)Memory used [KB]: 1067
% 0.61/0.77 % (3849)Time elapsed: 0.003 s
% 0.61/0.77 % (3849)Instructions burned: 6 (million)
% 0.61/0.77 % (3837)Success in time 0.391 s
% 0.61/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------