TSTP Solution File: GEO258+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n017.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 16:09:34 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 3 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 122 ( 45 ~; 46 |; 21 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 68 ( 56 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(avatar_sat_refutation,[],[f68,f77,f78,f79,f82,f85]) ).
fof(f85,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f84,plain,
( $false
| ~ spl4_2
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f83,f67]) ).
fof(f67,plain,
( before_on_line(sK3,sK0,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl4_2
<=> before_on_line(sK3,sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f83,plain,
( ~ before_on_line(sK3,sK0,sK2)
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f80,f72]) ).
fof(f72,plain,
( before_on_line(sK3,sK2,sK1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl4_3
<=> before_on_line(sK3,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f80,plain,
( ~ before_on_line(sK3,sK2,sK1)
| ~ before_on_line(sK3,sK0,sK2) ),
inference(resolution,[],[f49,f50]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( between_on_line(X3,X2,X1,X0)
| ~ before_on_line(X3,X0,X1)
| ~ before_on_line(X3,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ( ( before_on_line(X3,X2,X1)
& before_on_line(X3,X1,X0) )
| ( before_on_line(X3,X1,X2)
& before_on_line(X3,X0,X1) )
| ~ between_on_line(X3,X2,X1,X0) )
& ( between_on_line(X3,X2,X1,X0)
| ( ( ~ before_on_line(X3,X2,X1)
| ~ before_on_line(X3,X1,X0) )
& ( ~ before_on_line(X3,X1,X2)
| ~ before_on_line(X3,X0,X1) ) ) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X3,X1,X2,X0] :
( ( ( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X3) )
| ( before_on_line(X0,X1,X2)
& before_on_line(X0,X3,X1) )
| ~ between_on_line(X0,X2,X1,X3) )
& ( between_on_line(X0,X2,X1,X3)
| ( ( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X1,X3) )
& ( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X3,X1) ) ) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X3,X1,X2,X0] :
( ( ( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X3) )
| ( before_on_line(X0,X1,X2)
& before_on_line(X0,X3,X1) )
| ~ between_on_line(X0,X2,X1,X3) )
& ( between_on_line(X0,X2,X1,X3)
| ( ( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X1,X3) )
& ( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X3,X1,X2,X0] :
( ( ( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X3) )
| ( before_on_line(X0,X1,X2)
& before_on_line(X0,X3,X1) ) )
<=> between_on_line(X0,X2,X1,X3) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X5,X2,X6] :
( between_on_line(X3,X2,X5,X6)
<=> ( ( before_on_line(X3,X5,X6)
& before_on_line(X3,X2,X5) )
| ( before_on_line(X3,X6,X5)
& before_on_line(X3,X5,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9_defns) ).
fof(f49,plain,
~ between_on_line(sK3,sK1,sK2,sK0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ~ between_on_line(sK3,sK1,sK2,sK0)
& between_on_line(sK3,sK0,sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f42,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2,X3] :
( ~ between_on_line(X3,X1,X2,X0)
& between_on_line(X3,X0,X2,X1) )
=> ( ~ between_on_line(sK3,sK1,sK2,sK0)
& between_on_line(sK3,sK0,sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2,X3] :
( ~ between_on_line(X3,X1,X2,X0)
& between_on_line(X3,X0,X2,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
? [X1,X2,X0,X3] :
( ~ between_on_line(X3,X2,X0,X1)
& between_on_line(X3,X1,X0,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X2,X3,X1,X0] :
( between_on_line(X3,X1,X0,X2)
=> between_on_line(X3,X2,X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X5,X2,X6,X3] :
( between_on_line(X3,X2,X5,X6)
=> between_on_line(X3,X6,X5,X2) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X5,X2,X6,X3] :
( between_on_line(X3,X2,X5,X6)
=> between_on_line(X3,X6,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f82,plain,
( ~ spl4_4
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f81,f61,f74]) ).
fof(f74,plain,
( spl4_4
<=> before_on_line(sK3,sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f61,plain,
( spl4_1
<=> before_on_line(sK3,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f81,plain,
( ~ before_on_line(sK3,sK1,sK2)
| ~ before_on_line(sK3,sK2,sK0) ),
inference(resolution,[],[f49,f51]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( between_on_line(X3,X2,X1,X0)
| ~ before_on_line(X3,X1,X0)
| ~ before_on_line(X3,X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f79,plain,
( spl4_3
| spl4_1 ),
inference(avatar_split_clause,[],[f59,f61,f70]) ).
fof(f59,plain,
( before_on_line(sK3,sK1,sK2)
| before_on_line(sK3,sK2,sK1) ),
inference(resolution,[],[f48,f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X3,X2,X1,X0)
| before_on_line(X3,X1,X0)
| before_on_line(X3,X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f48,plain,
between_on_line(sK3,sK0,sK2,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f78,plain,
( spl4_2
| spl4_4 ),
inference(avatar_split_clause,[],[f57,f74,f65]) ).
fof(f57,plain,
( before_on_line(sK3,sK2,sK0)
| before_on_line(sK3,sK0,sK2) ),
inference(resolution,[],[f48,f55]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X3,X2,X1,X0)
| before_on_line(X3,X1,X2)
| before_on_line(X3,X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f77,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f58,f74,f70]) ).
fof(f58,plain,
( before_on_line(sK3,sK2,sK0)
| before_on_line(sK3,sK2,sK1) ),
inference(resolution,[],[f48,f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X3,X2,X1,X0)
| before_on_line(X3,X1,X0)
| before_on_line(X3,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f68,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f56,f65,f61]) ).
fof(f56,plain,
( before_on_line(sK3,sK0,sK2)
| before_on_line(sK3,sK1,sK2) ),
inference(resolution,[],[f48,f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X3,X2,X1,X0)
| before_on_line(X3,X2,X1)
| before_on_line(X3,X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO258+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:15:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (16333)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)
% 0.20/0.50 % (16333)First to succeed.
% 0.20/0.50 % (16348)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)
% 0.20/0.50 % (16337)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)
% 0.20/0.50 % (16341)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)
% 0.20/0.51 % (16344)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)
% 0.20/0.51 % (16341)Refutation not found, incomplete strategy% (16341)------------------------------
% 0.20/0.51 % (16341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16332)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (16344)Also succeeded, but the first one will report.
% 0.20/0.51 % (16333)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (16333)------------------------------
% 0.20/0.51 % (16333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16333)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (16333)Memory used [KB]: 5884
% 0.20/0.51 % (16333)Time elapsed: 0.094 s
% 0.20/0.51 % (16333)Instructions burned: 2 (million)
% 0.20/0.51 % (16333)------------------------------
% 0.20/0.51 % (16333)------------------------------
% 0.20/0.51 % (16327)Success in time 0.159 s
%------------------------------------------------------------------------------