TSTP Solution File: GEO258+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO258+3 : 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 : n002.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 16:12:29 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 3 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 157 ( 58 ~; 68 |; 21 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 71 ( 59 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f384,plain,
$false,
inference(avatar_sat_refutation,[],[f233,f296,f305,f348,f380,f383]) ).
fof(f383,plain,
( spl4_4
| spl4_5 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| spl4_4
| spl4_5 ),
inference(subsumption_resolution,[],[f381,f299]) ).
fof(f299,plain,
( ~ before_on_line(sK0,sK3,sK1)
| spl4_5 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl4_5
<=> before_on_line(sK0,sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f381,plain,
( before_on_line(sK0,sK3,sK1)
| spl4_4 ),
inference(subsumption_resolution,[],[f247,f231]) ).
fof(f231,plain,
( ~ before_on_line(sK0,sK1,sK3)
| spl4_4 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl4_4
<=> before_on_line(sK0,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f247,plain,
( before_on_line(sK0,sK1,sK3)
| before_on_line(sK0,sK3,sK1) ),
inference(resolution,[],[f152,f175]) ).
fof(f175,plain,
between_on_line(sK0,sK1,sK3,sK2),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ~ between_on_line(sK0,sK2,sK3,sK1)
& between_on_line(sK0,sK1,sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f131,f132]) ).
fof(f132,plain,
( ? [X0,X1,X2,X3] :
( ~ between_on_line(X0,X2,X3,X1)
& between_on_line(X0,X1,X3,X2) )
=> ( ~ between_on_line(sK0,sK2,sK3,sK1)
& between_on_line(sK0,sK1,sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
? [X0,X1,X2,X3] :
( ~ between_on_line(X0,X2,X3,X1)
& between_on_line(X0,X1,X3,X2) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
? [X1,X2,X3,X0] :
( ~ between_on_line(X1,X3,X0,X2)
& between_on_line(X1,X2,X0,X3) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ! [X3,X2,X0,X1] :
( between_on_line(X1,X2,X0,X3)
=> between_on_line(X1,X3,X0,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X5,X3,X2,X6] :
( between_on_line(X3,X2,X5,X6)
=> between_on_line(X3,X6,X5,X2) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X5,X3,X2,X6] :
( between_on_line(X3,X2,X5,X6)
=> between_on_line(X3,X6,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X2,X3,X0,X1)
| before_on_line(X2,X3,X0)
| before_on_line(X2,X0,X3) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ( between_on_line(X2,X3,X0,X1)
| ( ( ~ before_on_line(X2,X0,X1)
| ~ before_on_line(X2,X3,X0) )
& ( ~ before_on_line(X2,X0,X3)
| ~ before_on_line(X2,X1,X0) ) ) )
& ( ( before_on_line(X2,X0,X1)
& before_on_line(X2,X3,X0) )
| ( before_on_line(X2,X0,X3)
& before_on_line(X2,X1,X0) )
| ~ between_on_line(X2,X3,X0,X1) ) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X3,X2] :
( ( between_on_line(X3,X2,X0,X1)
| ( ( ~ before_on_line(X3,X0,X1)
| ~ before_on_line(X3,X2,X0) )
& ( ~ before_on_line(X3,X0,X2)
| ~ before_on_line(X3,X1,X0) ) ) )
& ( ( before_on_line(X3,X0,X1)
& before_on_line(X3,X2,X0) )
| ( before_on_line(X3,X0,X2)
& before_on_line(X3,X1,X0) )
| ~ between_on_line(X3,X2,X0,X1) ) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X3,X2] :
( ( between_on_line(X3,X2,X0,X1)
| ( ( ~ before_on_line(X3,X0,X1)
| ~ before_on_line(X3,X2,X0) )
& ( ~ before_on_line(X3,X0,X2)
| ~ before_on_line(X3,X1,X0) ) ) )
& ( ( before_on_line(X3,X0,X1)
& before_on_line(X3,X2,X0) )
| ( before_on_line(X3,X0,X2)
& before_on_line(X3,X1,X0) )
| ~ between_on_line(X3,X2,X0,X1) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X3,X2] :
( between_on_line(X3,X2,X0,X1)
<=> ( ( before_on_line(X3,X0,X1)
& before_on_line(X3,X2,X0) )
| ( before_on_line(X3,X0,X2)
& before_on_line(X3,X1,X0) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X5,X6,X2,X3] :
( between_on_line(X3,X2,X5,X6)
<=> ( ( before_on_line(X3,X2,X5)
& before_on_line(X3,X5,X6) )
| ( before_on_line(X3,X5,X2)
& before_on_line(X3,X6,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a9_defns) ).
fof(f380,plain,
( ~ spl4_4
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl4_4
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f377,f176]) ).
fof(f176,plain,
~ between_on_line(sK0,sK2,sK3,sK1),
inference(cnf_transformation,[],[f133]) ).
fof(f377,plain,
( between_on_line(sK0,sK2,sK3,sK1)
| ~ spl4_4
| ~ spl4_6 ),
inference(resolution,[],[f352,f232]) ).
fof(f232,plain,
( before_on_line(sK0,sK1,sK3)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f352,plain,
( ! [X1] :
( ~ before_on_line(sK0,X1,sK3)
| between_on_line(sK0,sK2,sK3,X1) )
| ~ spl4_6 ),
inference(resolution,[],[f304,f155]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ before_on_line(X2,X0,X3)
| ~ before_on_line(X2,X1,X0)
| between_on_line(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f304,plain,
( before_on_line(sK0,sK3,sK2)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl4_6
<=> before_on_line(sK0,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f348,plain,
( ~ spl4_3
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| ~ spl4_3
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f346,f176]) ).
fof(f346,plain,
( between_on_line(sK0,sK2,sK3,sK1)
| ~ spl4_3
| ~ spl4_5 ),
inference(resolution,[],[f306,f300]) ).
fof(f300,plain,
( before_on_line(sK0,sK3,sK1)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f306,plain,
( ! [X0] :
( ~ before_on_line(sK0,sK3,X0)
| between_on_line(sK0,sK2,sK3,X0) )
| ~ spl4_3 ),
inference(resolution,[],[f228,f156]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( ~ before_on_line(X2,X3,X0)
| between_on_line(X2,X3,X0,X1)
| ~ before_on_line(X2,X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f228,plain,
( before_on_line(sK0,sK2,sK3)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl4_3
<=> before_on_line(sK0,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f305,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f281,f302,f298]) ).
fof(f281,plain,
( before_on_line(sK0,sK3,sK2)
| before_on_line(sK0,sK3,sK1) ),
inference(resolution,[],[f154,f175]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X2,X3,X0,X1)
| before_on_line(X2,X0,X1)
| before_on_line(X2,X0,X3) ),
inference(cnf_transformation,[],[f121]) ).
fof(f296,plain,
( spl4_3
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f294,f176]) ).
fof(f294,plain,
( between_on_line(sK0,sK2,sK3,sK1)
| spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f290,f232]) ).
fof(f290,plain,
( ! [X1] :
( ~ before_on_line(sK0,X1,sK3)
| between_on_line(sK0,sK2,sK3,X1) )
| spl4_3 ),
inference(resolution,[],[f155,f261]) ).
fof(f261,plain,
( before_on_line(sK0,sK3,sK2)
| spl4_3 ),
inference(subsumption_resolution,[],[f260,f227]) ).
fof(f227,plain,
( ~ before_on_line(sK0,sK2,sK3)
| spl4_3 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f260,plain,
( before_on_line(sK0,sK2,sK3)
| before_on_line(sK0,sK3,sK2) ),
inference(resolution,[],[f153,f175]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X2,X3,X0,X1)
| before_on_line(X2,X0,X1)
| before_on_line(X2,X1,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f233,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f224,f230,f226]) ).
fof(f224,plain,
( before_on_line(sK0,sK1,sK3)
| before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f151,f175]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X2,X3,X0,X1)
| before_on_line(X2,X1,X0)
| before_on_line(X2,X3,X0) ),
inference(cnf_transformation,[],[f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO258+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:56:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (11525)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)
% 0.18/0.49 % (11518)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (11520)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)
% 0.18/0.49 % (11523)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)
% 0.18/0.49 TRYING [1]
% 0.18/0.49 TRYING [2]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 % (11524)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (11540)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)
% 0.18/0.50 % (11516)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)
% 0.18/0.50 % (11518)First to succeed.
% 0.18/0.51 % (11532)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 % (11526)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (11516)Also succeeded, but the first one will report.
% 0.18/0.51 % (11518)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (11518)------------------------------
% 0.18/0.51 % (11518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (11518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (11518)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (11518)Memory used [KB]: 5628
% 0.18/0.51 % (11518)Time elapsed: 0.118 s
% 0.18/0.51 % (11518)Instructions burned: 7 (million)
% 0.18/0.51 % (11518)------------------------------
% 0.18/0.51 % (11518)------------------------------
% 0.18/0.51 % (11509)Success in time 0.169 s
%------------------------------------------------------------------------------