TSTP Solution File: GEO258+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n013.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 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 3 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 150 ( 56 ~; 63 |; 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 : 70 ( 58 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(avatar_sat_refutation,[],[f200,f222,f243,f250,f266,f268]) ).
fof(f268,plain,
( spl4_6
| spl4_4 ),
inference(avatar_split_clause,[],[f267,f197,f240]) ).
fof(f240,plain,
( spl4_6
<=> before_on_line(sK1,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f197,plain,
( spl4_4
<=> before_on_line(sK1,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f267,plain,
( before_on_line(sK1,sK3,sK2)
| spl4_4 ),
inference(subsumption_resolution,[],[f219,f198]) ).
fof(f198,plain,
( ~ before_on_line(sK1,sK0,sK2)
| spl4_4 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f219,plain,
( before_on_line(sK1,sK0,sK2)
| before_on_line(sK1,sK3,sK2) ),
inference(resolution,[],[f131,f169]) ).
fof(f169,plain,
between_on_line(sK1,sK0,sK2,sK3),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( between_on_line(sK1,sK0,sK2,sK3)
& ~ between_on_line(sK1,sK3,sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f119,f120]) ).
fof(f120,plain,
( ? [X0,X1,X2,X3] :
( between_on_line(X1,X0,X2,X3)
& ~ between_on_line(X1,X3,X2,X0) )
=> ( between_on_line(sK1,sK0,sK2,sK3)
& ~ between_on_line(sK1,sK3,sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
? [X0,X1,X2,X3] :
( between_on_line(X1,X0,X2,X3)
& ~ between_on_line(X1,X3,X2,X0) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
? [X1,X0,X2,X3] :
( between_on_line(X0,X1,X2,X3)
& ~ between_on_line(X0,X3,X2,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ! [X0,X2,X1,X3] :
( between_on_line(X0,X1,X2,X3)
=> between_on_line(X0,X3,X2,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X0,X3,X4] :
( between_on_line(X1,X0,X3,X4)
=> between_on_line(X1,X4,X3,X0) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X0,X3,X4] :
( between_on_line(X1,X0,X3,X4)
=> between_on_line(X1,X4,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X3,X2,X1)
| before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3) )
| ( before_on_line(X0,X2,X1)
& before_on_line(X0,X3,X2) )
| ~ between_on_line(X0,X3,X2,X1) )
& ( between_on_line(X0,X3,X2,X1)
| ( ( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X2,X3) )
& ( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2) ) ) ) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X2,X1,X0,X3] :
( ( ( before_on_line(X2,X1,X0)
& before_on_line(X2,X0,X3) )
| ( before_on_line(X2,X0,X1)
& before_on_line(X2,X3,X0) )
| ~ between_on_line(X2,X3,X0,X1) )
& ( between_on_line(X2,X3,X0,X1)
| ( ( ~ before_on_line(X2,X1,X0)
| ~ before_on_line(X2,X0,X3) )
& ( ~ before_on_line(X2,X0,X1)
| ~ before_on_line(X2,X3,X0) ) ) ) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X2,X1,X0,X3] :
( ( ( before_on_line(X2,X1,X0)
& before_on_line(X2,X0,X3) )
| ( before_on_line(X2,X0,X1)
& before_on_line(X2,X3,X0) )
| ~ between_on_line(X2,X3,X0,X1) )
& ( between_on_line(X2,X3,X0,X1)
| ( ( ~ before_on_line(X2,X1,X0)
| ~ before_on_line(X2,X0,X3) )
& ( ~ before_on_line(X2,X0,X1)
| ~ before_on_line(X2,X3,X0) ) ) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X2,X1,X0,X3] :
( ( ( before_on_line(X2,X1,X0)
& before_on_line(X2,X0,X3) )
| ( before_on_line(X2,X0,X1)
& before_on_line(X2,X3,X0) ) )
<=> between_on_line(X2,X3,X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3,X4,X1,X0] :
( ( ( before_on_line(X1,X3,X0)
& before_on_line(X1,X4,X3) )
| ( before_on_line(X1,X3,X4)
& before_on_line(X1,X0,X3) ) )
<=> between_on_line(X1,X0,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bet_def) ).
fof(f266,plain,
( ~ spl4_3
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| ~ spl4_3
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f264,f168]) ).
fof(f168,plain,
~ between_on_line(sK1,sK3,sK2,sK0),
inference(cnf_transformation,[],[f121]) ).
fof(f264,plain,
( between_on_line(sK1,sK3,sK2,sK0)
| ~ spl4_3
| ~ spl4_6 ),
inference(resolution,[],[f227,f242]) ).
fof(f242,plain,
( before_on_line(sK1,sK3,sK2)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f227,plain,
( ! [X1] :
( ~ before_on_line(sK1,X1,sK2)
| between_on_line(sK1,X1,sK2,sK0) )
| ~ spl4_3 ),
inference(resolution,[],[f195,f127]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2)
| between_on_line(X0,X3,X2,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f195,plain,
( before_on_line(sK1,sK2,sK0)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl4_3
<=> before_on_line(sK1,sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f250,plain,
( ~ spl4_4
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| ~ spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f244,f168]) ).
fof(f244,plain,
( between_on_line(sK1,sK3,sK2,sK0)
| ~ spl4_4
| ~ spl4_5 ),
inference(resolution,[],[f238,f209]) ).
fof(f209,plain,
( ! [X0] :
( ~ before_on_line(sK1,sK2,X0)
| between_on_line(sK1,X0,sK2,sK0) )
| ~ spl4_4 ),
inference(resolution,[],[f199,f128]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X2,X3)
| between_on_line(X0,X3,X2,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f199,plain,
( before_on_line(sK1,sK0,sK2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f238,plain,
( before_on_line(sK1,sK2,sK3)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl4_5
<=> before_on_line(sK1,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f243,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f233,f240,f236]) ).
fof(f233,plain,
( before_on_line(sK1,sK3,sK2)
| before_on_line(sK1,sK2,sK3) ),
inference(resolution,[],[f132,f169]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X3,X2,X1)
| before_on_line(X0,X1,X2)
| before_on_line(X0,X2,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f222,plain,
( spl4_3
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| spl4_3
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f220,f168]) ).
fof(f220,plain,
( between_on_line(sK1,sK3,sK2,sK0)
| spl4_3
| ~ spl4_4 ),
inference(resolution,[],[f209,f214]) ).
fof(f214,plain,
( before_on_line(sK1,sK2,sK3)
| spl4_3 ),
inference(subsumption_resolution,[],[f213,f194]) ).
fof(f194,plain,
( ~ before_on_line(sK1,sK2,sK0)
| spl4_3 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f213,plain,
( before_on_line(sK1,sK2,sK3)
| before_on_line(sK1,sK2,sK0) ),
inference(resolution,[],[f130,f169]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X3,X2,X1)
| before_on_line(X0,X2,X3)
| before_on_line(X0,X2,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f200,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f191,f197,f193]) ).
fof(f191,plain,
( before_on_line(sK1,sK0,sK2)
| before_on_line(sK1,sK2,sK0) ),
inference(resolution,[],[f129,f169]) ).
fof(f129,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X3,X2,X1)
| before_on_line(X0,X3,X2)
| before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:47:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (18927)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (18943)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (18924)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 % (18943)First to succeed.
% 0.20/0.52 % (18935)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)
% 0.20/0.52 % (18943)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (18943)------------------------------
% 0.20/0.52 % (18943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18943)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (18943)Memory used [KB]: 5500
% 0.20/0.52 % (18943)Time elapsed: 0.107 s
% 0.20/0.52 % (18943)Instructions burned: 5 (million)
% 0.20/0.52 % (18943)------------------------------
% 0.20/0.52 % (18943)------------------------------
% 0.20/0.52 % (18914)Success in time 0.168 s
%------------------------------------------------------------------------------