TSTP Solution File: GEO192+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n010.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 16:09:05 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 112 ( 45 ~; 37 |; 15 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 61 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,plain,
$false,
inference(avatar_sat_refutation,[],[f81,f115,f118]) ).
fof(f118,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| spl3_2 ),
inference(unit_resulting_resolution,[],[f82,f60,f67,f80,f100]) ).
fof(f100,plain,
! [X3,X6,X4,X5] :
( ~ apart_point_and_line(X3,X5)
| distinct_lines(X5,X6)
| distinct_lines(X4,X6)
| apart_point_and_line(X3,X4) ),
inference(resolution,[],[f72,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X0)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0)
| distinct_lines(X1,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f72,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X2,X0)
| distinct_lines(X0,X1)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_lines(X0,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X0)
=> ( apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X2,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f80,plain,
( ~ distinct_lines(sK1,sK0)
| spl3_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl3_2
<=> distinct_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f67,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f60,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( apart_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK1,sK2)
& ( ~ distinct_lines(sK2,sK0)
| ~ distinct_lines(sK1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f46,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2)
& ( ~ distinct_lines(X2,X0)
| ~ distinct_lines(X1,X0) ) )
=> ( apart_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK1,sK2)
& ( ~ distinct_lines(sK2,sK0)
| ~ distinct_lines(sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2)
& ( ~ distinct_lines(X2,X0)
| ~ distinct_lines(X1,X0) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
? [X1,X2,X0] :
( apart_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X2,X0)
& ( ~ distinct_lines(X0,X1)
| ~ distinct_lines(X2,X1) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0,X2,X1] :
( ( ~ distinct_lines(X0,X1)
| ~ distinct_lines(X2,X1) )
& apart_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X2,X1] :
( convergent_lines(X2,X0)
=> ( apart_point_and_line(intersection_point(X2,X0),X1)
=> ( distinct_lines(X0,X1)
& distinct_lines(X2,X1) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f82,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK1),
inference(resolution,[],[f61,f59]) ).
fof(f59,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f61,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f115,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| spl3_1 ),
inference(unit_resulting_resolution,[],[f67,f77,f83,f60,f100]) ).
fof(f83,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK2),
inference(resolution,[],[f74,f59]) ).
fof(f74,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci4) ).
fof(f77,plain,
( ~ distinct_lines(sK2,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl3_1
<=> distinct_lines(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f81,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f58,f79,f76]) ).
fof(f58,plain,
( ~ distinct_lines(sK1,sK0)
| ~ distinct_lines(sK2,sK0) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:19:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (11156)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)
% 0.20/0.49 % (11148)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)
% 0.20/0.49 % (11164)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.49 % (11164)First to succeed.
% 0.20/0.49 % (11156)Refutation not found, incomplete strategy% (11156)------------------------------
% 0.20/0.49 % (11156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11164)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (11164)------------------------------
% 0.20/0.49 % (11164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11164)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (11164)Memory used [KB]: 6012
% 0.20/0.49 % (11164)Time elapsed: 0.110 s
% 0.20/0.49 % (11164)Instructions burned: 3 (million)
% 0.20/0.49 % (11164)------------------------------
% 0.20/0.49 % (11164)------------------------------
% 0.20/0.49 % (11133)Success in time 0.142 s
%------------------------------------------------------------------------------