TSTP Solution File: GEO202+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO202+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 : n017.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 : Tue Apr 30 11:14:41 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 64 ( 15 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 155 ( 55 ~; 65 |; 21 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 85 ( 76 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2522,plain,
$false,
inference(avatar_sat_refutation,[],[f1399,f2151,f2501,f2506,f2521]) ).
fof(f2521,plain,
~ spl3_25,
inference(avatar_contradiction_clause,[],[f2520]) ).
fof(f2520,plain,
( $false
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f2517,f42]) ).
fof(f42,plain,
convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0)
& convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f38]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ( distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0)
& convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] :
( distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f2517,plain,
( ~ convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ spl3_25 ),
inference(resolution,[],[f1244,f48]) ).
fof(f48,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(f1244,plain,
( apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK1))
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1242,plain,
( spl3_25
<=> apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f2506,plain,
~ spl3_24,
inference(avatar_contradiction_clause,[],[f2505]) ).
fof(f2505,plain,
( $false
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f2502,f42]) ).
fof(f2502,plain,
( ~ convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ spl3_24 ),
inference(resolution,[],[f1240,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,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(f1240,plain,
( apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK2))
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f1238,plain,
( spl3_24
<=> apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f2501,plain,
~ spl3_27,
inference(avatar_contradiction_clause,[],[f2500]) ).
fof(f2500,plain,
( $false
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f2497,f40]) ).
fof(f40,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f2497,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_27 ),
inference(resolution,[],[f1253,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f1253,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1251,plain,
( spl3_27
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f2151,plain,
~ spl3_26,
inference(avatar_contradiction_clause,[],[f2150]) ).
fof(f2150,plain,
( $false
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f2147,f41]) ).
fof(f41,plain,
distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f2147,plain,
( ~ distinct_points(sK0,sK2)
| ~ spl3_26 ),
inference(resolution,[],[f1249,f49]) ).
fof(f1249,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1247,plain,
( spl3_26
<=> apart_point_and_line(sK0,line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f1399,plain,
( spl3_24
| spl3_25
| spl3_26
| spl3_27 ),
inference(avatar_split_clause,[],[f1084,f1251,f1247,f1242,f1238]) ).
fof(f1084,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK2))
| apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK1))
| apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK2)) ),
inference(resolution,[],[f85,f87]) ).
fof(f87,plain,
distinct_points(sK0,intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2))),
inference(resolution,[],[f62,f46]) ).
fof(f46,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f62,plain,
! [X0] :
( distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f54,f43]) ).
fof(f43,plain,
distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f85,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X1,line_connecting(sK0,sK2))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK0,sK2)) ),
inference(resolution,[],[f75,f57]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1) ),
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(f75,plain,
distinct_lines(line_connecting(sK0,sK2),line_connecting(sK0,sK1)),
inference(resolution,[],[f58,f45]) ).
fof(f45,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(f58,plain,
! [X0] :
( convergent_lines(line_connecting(sK0,sK1),X0)
| distinct_lines(line_connecting(sK0,sK2),X0) ),
inference(resolution,[],[f52,f42]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 05:12:34 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (19553)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (19554)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.39 % (19557)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39 TRYING [5]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 % (19555)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (19559)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39 % (19558)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39 % (19556)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)
% 0.21/0.39 % (19560)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)
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [5]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [6]
% 0.21/0.40 TRYING [5]
% 0.21/0.40 TRYING [6]
% 0.21/0.40 TRYING [5]
% 0.21/0.41 TRYING [6]
% 0.21/0.41 TRYING [7]
% 0.21/0.41 TRYING [6]
% 0.21/0.42 TRYING [7]
% 0.21/0.43 TRYING [7]
% 0.21/0.43 TRYING [7]
% 0.21/0.45 TRYING [8]
% 0.21/0.45 TRYING [8]
% 0.21/0.46 TRYING [8]
% 0.21/0.47 TRYING [8]
% 0.21/0.50 TRYING [9]
% 0.21/0.50 TRYING [9]
% 0.21/0.51 TRYING [9]
% 0.21/0.52 % (19559)First to succeed.
% 0.21/0.52 % (19559)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (19559)------------------------------
% 0.21/0.52 % (19559)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.52 % (19559)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (19559)Memory used [KB]: 1725
% 0.21/0.52 % (19559)Time elapsed: 0.133 s
% 0.21/0.52 % (19559)Instructions burned: 251 (million)
% 0.21/0.52 % (19559)------------------------------
% 0.21/0.52 % (19559)------------------------------
% 0.21/0.52 % (19553)Success in time 0.161 s
%------------------------------------------------------------------------------