TSTP Solution File: GEO201+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Sun May 5 05:16:04 EDT 2024
% Result : Theorem 0.16s 0.35s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 67 ( 13 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 155 ( 57 ~; 78 |; 6 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 86 ( 82 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f226,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f145,f174,f220,f225]) ).
fof(f225,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f224]) ).
fof(f224,plain,
( $false
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f221,f39]) ).
fof(f39,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0))
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f37]) ).
fof(f37,plain,
( ? [X0,X1] :
( distinct_points(intersection_point(X0,X1),intersection_point(X1,X0))
& convergent_lines(X0,X1) )
=> ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0))
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1] :
( distinct_points(intersection_point(X0,X1),intersection_point(X1,X0))
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f221,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl2_4 ),
inference(resolution,[],[f113,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f113,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl2_4
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f220,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f218,f41]) ).
fof(f41,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(f218,plain,
( distinct_lines(sK1,sK1)
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f215,f43]) ).
fof(f43,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f215,plain,
( convergent_lines(sK0,sK0)
| distinct_lines(sK1,sK1)
| ~ spl2_1 ),
inference(resolution,[],[f208,f59]) ).
fof(f59,plain,
! [X0,X1] :
( convergent_lines(sK0,X0)
| convergent_lines(X1,X0)
| distinct_lines(sK1,X1) ),
inference(resolution,[],[f50,f55]) ).
fof(f55,plain,
! [X0] :
( convergent_lines(sK0,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f49,f39]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f208,plain,
( ~ convergent_lines(sK1,sK0)
| ~ spl2_1 ),
inference(resolution,[],[f101,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci4) ).
fof(f101,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl2_1
<=> apart_point_and_line(intersection_point(sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f174,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f170,f39]) ).
fof(f170,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl2_3 ),
inference(resolution,[],[f109,f47]) ).
fof(f109,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl2_3
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f145,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f143,f41]) ).
fof(f143,plain,
( distinct_lines(sK1,sK1)
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f140,f43]) ).
fof(f140,plain,
( convergent_lines(sK0,sK0)
| distinct_lines(sK1,sK1)
| ~ spl2_2 ),
inference(resolution,[],[f136,f59]) ).
fof(f136,plain,
( ~ convergent_lines(sK1,sK0)
| ~ spl2_2 ),
inference(resolution,[],[f105,f46]) ).
fof(f105,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl2_2
<=> apart_point_and_line(intersection_point(sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f127,plain,
( spl2_2
| spl2_1
| spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f95,f107,f111,f99,f103]) ).
fof(f95,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK1,sK0),sK0)
| apart_point_and_line(intersection_point(sK1,sK0),sK1) ),
inference(resolution,[],[f76,f65]) ).
fof(f65,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f60,f41]) ).
fof(f60,plain,
! [X0] :
( distinct_lines(sK1,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f56,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f56,plain,
distinct_lines(sK1,sK0),
inference(resolution,[],[f55,f43]) ).
fof(f76,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(intersection_point(sK0,sK1),X1)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK1,sK0),X0)
| apart_point_and_line(intersection_point(sK1,sK0),X1) ),
inference(resolution,[],[f54,f40]) ).
fof(f40,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f38]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n008.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 21:52:53 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.32 % (29257)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.34 % (29259)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.34 % (29261)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.34 % (29262)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.34 TRYING [1,1]
% 0.16/0.34 % (29264)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.34 % (29260)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.34 TRYING [1,2]
% 0.16/0.34 % (29263)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.34 TRYING [2,2]
% 0.16/0.34 TRYING [2,3]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [1,1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [2,4]
% 0.16/0.34 TRYING [1,2]
% 0.16/0.34 TRYING [2,2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [2,3]
% 0.16/0.34 TRYING [2,5]
% 0.16/0.34 TRYING [2,4]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 % (29258)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.34 TRYING [2,6]
% 0.16/0.34 TRYING [2,5]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [2,6]
% 0.16/0.34 TRYING [2,7]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 % (29263)First to succeed.
% 0.16/0.34 % (29263)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29257"
% 0.16/0.34 TRYING [4]
% 0.16/0.34 TRYING [5]
% 0.16/0.34 TRYING [2,7]
% 0.16/0.34 % (29260)Also succeeded, but the first one will report.
% 0.16/0.35 TRYING [2,8]
% 0.16/0.35 % (29263)Refutation found. Thanks to Tanya!
% 0.16/0.35 % SZS status Theorem for theBenchmark
% 0.16/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.35 % (29263)------------------------------
% 0.16/0.35 % (29263)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.35 % (29263)Termination reason: Refutation
% 0.16/0.35
% 0.16/0.35 % (29263)Memory used [KB]: 815
% 0.16/0.35 % (29263)Time elapsed: 0.007 s
% 0.16/0.35 % (29263)Instructions burned: 10 (million)
% 0.16/0.35 % (29257)Success in time 0.022 s
%------------------------------------------------------------------------------