TSTP Solution File: GEO248+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO248+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 : n012.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 16:09:30 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 6 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 30 ~; 21 |; 14 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 38 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f194,plain,
$false,
inference(avatar_sat_refutation,[],[f185,f190,f193]) ).
fof(f193,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f192]) ).
fof(f192,plain,
( $false
| ~ spl3_1 ),
inference(resolution,[],[f180,f167]) ).
fof(f167,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
~ ( left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X2] :
~ ( left_apart_point(X2,X3)
| left_apart_point(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
fof(f180,plain,
( left_apart_point(sK0,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl3_1
<=> left_apart_point(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f190,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| ~ spl3_2 ),
inference(resolution,[],[f184,f172]) ).
fof(f172,plain,
! [X4,X5] : ~ right_apart_point(X4,X5),
inference(resolution,[],[f155,f167]) ).
fof(f155,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( right_apart_point(X0,X1)
| ~ left_apart_point(X0,reverse_line(X1)) )
& ( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_defns) ).
fof(f184,plain,
( right_apart_point(sK0,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl3_2
<=> right_apart_point(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f185,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f176,f182,f178]) ).
fof(f176,plain,
( right_apart_point(sK0,sK1)
| left_apart_point(sK0,sK1) ),
inference(resolution,[],[f132,f141]) ).
fof(f141,plain,
apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( apart_point_and_line(sK0,sK1)
& ~ apart_point_and_line(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f114,f115]) ).
fof(f115,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X2,X1) )
=> ( apart_point_and_line(sK0,sK1)
& ~ apart_point_and_line(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
? [X0,X1,X2] :
( apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X2,X1) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
? [X2,X1,X0] :
( apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
~ ! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
=> apart_point_and_line(X0,X1) ),
inference(pure_predicate_removal,[],[f65]) ).
fof(f65,plain,
~ ! [X2,X0,X1] :
( ( incident_point_and_line(X0,parallel_lines(X1,X2))
& apart_point_and_line(X2,X1) )
=> apart_point_and_line(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X5,X3,X2] :
( ( incident_point_and_line(X5,parallel_lines(X3,X2))
& apart_point_and_line(X2,X3) )
=> apart_point_and_line(X5,X3) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X5,X3,X2] :
( ( incident_point_and_line(X5,parallel_lines(X3,X2))
& apart_point_and_line(X2,X3) )
=> apart_point_and_line(X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f132,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,X0)
| right_apart_point(X1,X0)
| left_apart_point(X1,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( apart_point_and_line(X1,X0)
| ( ~ right_apart_point(X1,X0)
& ~ left_apart_point(X1,X0) ) )
& ( right_apart_point(X1,X0)
| left_apart_point(X1,X0)
| ~ apart_point_and_line(X1,X0) ) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( apart_point_and_line(X1,X0)
| ( ~ right_apart_point(X1,X0)
& ~ left_apart_point(X1,X0) ) )
& ( right_apart_point(X1,X0)
| left_apart_point(X1,X0)
| ~ apart_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( apart_point_and_line(X1,X0)
<=> ( right_apart_point(X1,X0)
| left_apart_point(X1,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3,X2] :
( ( left_apart_point(X2,X3)
| right_apart_point(X2,X3) )
<=> apart_point_and_line(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO248+3 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 29 21:33:36 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.48 % (19646)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.48 % (19640)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)
% 0.18/0.48 % (19646)Refutation not found, incomplete strategy% (19646)------------------------------
% 0.18/0.48 % (19646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (19646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (19646)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48
% 0.18/0.48 % (19646)Memory used [KB]: 5884
% 0.18/0.48 % (19646)Time elapsed: 0.092 s
% 0.18/0.48 % (19646)Instructions burned: 2 (million)
% 0.18/0.48 % (19646)------------------------------
% 0.18/0.48 % (19646)------------------------------
% 0.18/0.48 % (19640)Refutation not found, incomplete strategy% (19640)------------------------------
% 0.18/0.48 % (19640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (19640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (19640)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48
% 0.18/0.48 % (19640)Memory used [KB]: 1407
% 0.18/0.48 % (19640)Time elapsed: 0.093 s
% 0.18/0.48 % (19640)Instructions burned: 1 (million)
% 0.18/0.48 % (19640)------------------------------
% 0.18/0.48 % (19640)------------------------------
% 0.18/0.49 % (19658)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.49 % (19658)First to succeed.
% 0.18/0.49 % (19637)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49 % (19644)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.49 % (19658)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (19658)------------------------------
% 0.18/0.49 % (19658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (19658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (19658)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (19658)Memory used [KB]: 6012
% 0.18/0.49 % (19658)Time elapsed: 0.098 s
% 0.18/0.49 % (19658)Instructions burned: 3 (million)
% 0.18/0.49 % (19658)------------------------------
% 0.18/0.49 % (19658)------------------------------
% 0.18/0.49 % (19629)Success in time 0.158 s
%------------------------------------------------------------------------------