TSTP Solution File: GEO197+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO197+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Mon May 20 20:15:10 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 13 unt; 0 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 186 ( 62 ~; 81 |; 28 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 85 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f483,plain,
$false,
inference(avatar_sat_refutation,[],[f405,f410,f418,f432,f458,f482]) ).
fof(f482,plain,
~ spl3_13,
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f478,f40]) ).
fof(f40,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( apart_point_and_line(intersection_point(sK2,sK1),sK0)
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f38]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X2,X1),X0)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(sK2,sK1),sK0)
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X2,X1),X0)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X2,X1),X0)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f478,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl3_13 ),
inference(resolution,[],[f431,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,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(f431,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl3_13
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f458,plain,
~ spl3_12,
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f454,f40]) ).
fof(f454,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl3_12 ),
inference(resolution,[],[f427,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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(f427,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f425,plain,
( spl3_12
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f432,plain,
( spl3_12
| spl3_13
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f419,f372,f429,f425]) ).
fof(f372,plain,
( spl3_4
<=> ! [X0] :
( apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f419,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl3_4 ),
inference(resolution,[],[f373,f43]) ).
fof(f43,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f373,plain,
( ! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f418,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f414,f41]) ).
fof(f41,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f414,plain,
( ~ convergent_lines(sK2,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f362,f50]) ).
fof(f362,plain,
( apart_point_and_line(intersection_point(sK2,sK1),sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl3_1
<=> apart_point_and_line(intersection_point(sK2,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f410,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f409,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f406,f41]) ).
fof(f406,plain,
( ~ convergent_lines(sK2,sK1)
| ~ spl3_3 ),
inference(resolution,[],[f370,f51]) ).
fof(f370,plain,
( apart_point_and_line(intersection_point(sK2,sK1),sK1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl3_3
<=> apart_point_and_line(intersection_point(sK2,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f405,plain,
( spl3_1
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f346,f372,f368,f360]) ).
fof(f346,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(intersection_point(sK2,sK1),sK1)
| apart_point_and_line(intersection_point(sK2,sK1),sK2)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1) ),
inference(resolution,[],[f93,f123]) ).
fof(f123,plain,
distinct_lines(sK2,sK1),
inference(resolution,[],[f86,f47]) ).
fof(f47,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(f86,plain,
! [X0] :
( convergent_lines(sK1,X0)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f82,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,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(f82,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f65,f47]) ).
fof(f65,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f55,f41]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,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(f93,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(intersection_point(sK2,sK1),X2)
| apart_point_and_line(intersection_point(sK2,sK1),X1)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,X2) ),
inference(resolution,[],[f72,f58]) ).
fof(f58,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,[],[f37]) ).
fof(f37,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,[],[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(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) ).
fof(f72,plain,
! [X0] :
( distinct_points(intersection_point(sK2,sK1),X0)
| apart_point_and_line(X0,sK0) ),
inference(resolution,[],[f56,f44]) ).
fof(f44,plain,
apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO197+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 14:42:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (4994)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (4999)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (5001)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)
% 0.14/0.38 % (4997)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)
% 0.14/0.38 % (5000)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (4996)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (4998)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 % (4995)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [1,1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1,1]
% 0.14/0.39 TRYING [2,2]
% 0.14/0.39 TRYING [2,2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3,3]
% 0.14/0.39 TRYING [3,3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3,4]
% 0.14/0.39 TRYING [3,4]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3,5]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3,5]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [3,6]
% 0.14/0.39 TRYING [3,6]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [3,7]
% 0.14/0.40 TRYING [3,7]
% 0.14/0.40 % (5000)First to succeed.
% 0.14/0.40 % (5000)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4994"
% 0.14/0.40 % (5000)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (5000)------------------------------
% 0.14/0.40 % (5000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (5000)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (5000)Memory used [KB]: 916
% 0.14/0.40 % (5000)Time elapsed: 0.015 s
% 0.14/0.40 % (5000)Instructions burned: 24 (million)
% 0.14/0.40 % (4994)Success in time 0.03 s
%------------------------------------------------------------------------------