TSTP Solution File: GEO258+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n028.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 16:09:33 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 3 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 111 ( 39 ~; 41 |; 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(f92,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f83,f88,f89,f90,f91]) ).
fof(f91,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f87,f76,f67]) ).
fof(f67,plain,
( spl4_1
<=> before_on_line(sK1,sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f76,plain,
( spl4_3
<=> before_on_line(sK1,sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f87,plain,
( before_on_line(sK1,sK0,sK3)
| before_on_line(sK1,sK3,sK0) ),
inference(resolution,[],[f63,f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X1,X2,X3,X0)
| before_on_line(X1,X0,X3)
| before_on_line(X1,X3,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( ( ( before_on_line(X1,X2,X3)
& before_on_line(X1,X3,X0) )
| ( before_on_line(X1,X0,X3)
& before_on_line(X1,X3,X2) )
| ~ between_on_line(X1,X2,X3,X0) )
& ( between_on_line(X1,X2,X3,X0)
| ( ( ~ before_on_line(X1,X2,X3)
| ~ before_on_line(X1,X3,X0) )
& ( ~ before_on_line(X1,X0,X3)
| ~ before_on_line(X1,X3,X2) ) ) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X2,X1,X3,X0] :
( ( ( before_on_line(X1,X3,X0)
& before_on_line(X1,X0,X2) )
| ( before_on_line(X1,X2,X0)
& before_on_line(X1,X0,X3) )
| ~ between_on_line(X1,X3,X0,X2) )
& ( between_on_line(X1,X3,X0,X2)
| ( ( ~ before_on_line(X1,X3,X0)
| ~ before_on_line(X1,X0,X2) )
& ( ~ before_on_line(X1,X2,X0)
| ~ before_on_line(X1,X0,X3) ) ) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X2,X1,X3,X0] :
( ( ( before_on_line(X1,X3,X0)
& before_on_line(X1,X0,X2) )
| ( before_on_line(X1,X2,X0)
& before_on_line(X1,X0,X3) )
| ~ between_on_line(X1,X3,X0,X2) )
& ( between_on_line(X1,X3,X0,X2)
| ( ( ~ before_on_line(X1,X3,X0)
| ~ before_on_line(X1,X0,X2) )
& ( ~ before_on_line(X1,X2,X0)
| ~ before_on_line(X1,X0,X3) ) ) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X3,X0] :
( ( ( before_on_line(X1,X3,X0)
& before_on_line(X1,X0,X2) )
| ( before_on_line(X1,X2,X0)
& before_on_line(X1,X0,X3) ) )
<=> between_on_line(X1,X3,X0,X2) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3,X1,X4,X0] :
( between_on_line(X1,X0,X3,X4)
<=> ( ( before_on_line(X1,X4,X3)
& before_on_line(X1,X3,X0) )
| ( before_on_line(X1,X0,X3)
& before_on_line(X1,X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bet_def) ).
fof(f63,plain,
between_on_line(sK1,sK2,sK3,sK0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( between_on_line(sK1,sK2,sK3,sK0)
& ~ between_on_line(sK1,sK0,sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f46,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2,X3] :
( between_on_line(X1,X2,X3,X0)
& ~ between_on_line(X1,X0,X3,X2) )
=> ( between_on_line(sK1,sK2,sK3,sK0)
& ~ between_on_line(sK1,sK0,sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1,X2,X3] :
( between_on_line(X1,X2,X3,X0)
& ~ between_on_line(X1,X0,X3,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
? [X2,X1,X3,X0] :
( between_on_line(X1,X3,X0,X2)
& ~ between_on_line(X1,X2,X0,X3) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X3,X1,X0,X2] :
( between_on_line(X1,X3,X0,X2)
=> between_on_line(X1,X2,X0,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X3,X1,X4,X0] :
( between_on_line(X1,X0,X3,X4)
=> between_on_line(X1,X4,X3,X0) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X3,X1,X4,X0] :
( between_on_line(X1,X0,X3,X4)
=> between_on_line(X1,X4,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f90,plain,
( spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f86,f76,f71]) ).
fof(f71,plain,
( spl4_2
<=> before_on_line(sK1,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f86,plain,
( before_on_line(sK1,sK0,sK3)
| before_on_line(sK1,sK2,sK3) ),
inference(resolution,[],[f63,f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X1,X2,X3,X0)
| before_on_line(X1,X2,X3)
| before_on_line(X1,X0,X3) ),
inference(cnf_transformation,[],[f42]) ).
fof(f89,plain,
( spl4_2
| spl4_4 ),
inference(avatar_split_clause,[],[f84,f80,f71]) ).
fof(f80,plain,
( spl4_4
<=> before_on_line(sK1,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f84,plain,
( before_on_line(sK1,sK3,sK2)
| before_on_line(sK1,sK2,sK3) ),
inference(resolution,[],[f63,f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X1,X2,X3,X0)
| before_on_line(X1,X2,X3)
| before_on_line(X1,X3,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f88,plain,
( spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f85,f67,f80]) ).
fof(f85,plain,
( before_on_line(sK1,sK3,sK0)
| before_on_line(sK1,sK3,sK2) ),
inference(resolution,[],[f63,f51]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X1,X2,X3,X0)
| before_on_line(X1,X3,X0)
| before_on_line(X1,X3,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f83,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f65,f80,f76]) ).
fof(f65,plain,
( ~ before_on_line(sK1,sK3,sK2)
| ~ before_on_line(sK1,sK0,sK3) ),
inference(resolution,[],[f62,f50]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( between_on_line(X1,X2,X3,X0)
| ~ before_on_line(X1,X2,X3)
| ~ before_on_line(X1,X3,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f62,plain,
~ between_on_line(sK1,sK0,sK3,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f74,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f64,f71,f67]) ).
fof(f64,plain,
( ~ before_on_line(sK1,sK2,sK3)
| ~ before_on_line(sK1,sK3,sK0) ),
inference(resolution,[],[f62,f49]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( between_on_line(X1,X2,X3,X0)
| ~ before_on_line(X1,X3,X2)
| ~ before_on_line(X1,X0,X3) ),
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % 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 : n028.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 22:28:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (11280)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)
% 0.19/0.50 % (11263)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)
% 0.19/0.51 % (11271)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)
% 0.19/0.51 % (11263)Refutation not found, incomplete strategy% (11263)------------------------------
% 0.19/0.51 % (11263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11263)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (11264)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)
% 0.19/0.51 % (11263)Memory used [KB]: 5884
% 0.19/0.51 % (11263)Time elapsed: 0.110 s
% 0.19/0.51 % (11263)Instructions burned: 1 (million)
% 0.19/0.51 % (11263)------------------------------
% 0.19/0.51 % (11263)------------------------------
% 0.19/0.51 % (11271)Refutation not found, incomplete strategy% (11271)------------------------------
% 0.19/0.51 % (11271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11271)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (11271)Memory used [KB]: 6012
% 0.19/0.51 % (11271)Time elapsed: 0.117 s
% 0.19/0.51 % (11271)Instructions burned: 3 (million)
% 0.19/0.51 % (11271)------------------------------
% 0.19/0.51 % (11271)------------------------------
% 0.19/0.51 % (11265)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)
% 0.19/0.51 % (11275)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (11280)First to succeed.
% 0.19/0.52 % (11280)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (11280)------------------------------
% 0.19/0.52 % (11280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11280)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (11280)Memory used [KB]: 5884
% 0.19/0.52 % (11280)Time elapsed: 0.113 s
% 0.19/0.52 % (11280)Instructions burned: 2 (million)
% 0.19/0.52 % (11280)------------------------------
% 0.19/0.52 % (11280)------------------------------
% 0.19/0.52 % (11251)Success in time 0.167 s
%------------------------------------------------------------------------------