TSTP Solution File: GEO203+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO203+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 05:16:05 EDT 2024
% Result : Theorem 0.19s 0.39s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 10 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 137 ( 51 ~; 51 |; 21 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 63 ( 54 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f649,plain,
$false,
inference(avatar_sat_refutation,[],[f311,f317,f330,f627,f648]) ).
fof(f648,plain,
~ spl3_15,
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f647,plain,
( $false
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f644,f97]) ).
fof(f97,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ~ equal_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f53,f93]) ).
fof(f93,plain,
( ? [X0,X1,X2] :
( ~ equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ( ~ equal_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ~ equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2] :
( ~ equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f644,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ spl3_15 ),
inference(resolution,[],[f310,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,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/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f310,plain,
( apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl3_15
<=> apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f627,plain,
~ spl3_14,
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f626,plain,
( $false
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f623,f97]) ).
fof(f623,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ spl3_14 ),
inference(resolution,[],[f306,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f306,plain,
( apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl3_14
<=> apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f330,plain,
~ spl3_13,
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f326,f95]) ).
fof(f95,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f326,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl3_13 ),
inference(resolution,[],[f301,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,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/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f301,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl3_13
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f317,plain,
~ spl3_12,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f313,f96]) ).
fof(f96,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f94]) ).
fof(f313,plain,
( ~ convergent_lines(sK0,sK2)
| ~ spl3_12 ),
inference(resolution,[],[f297,f110]) ).
fof(f297,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK0)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl3_12
<=> apart_point_and_line(intersection_point(sK0,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f311,plain,
( spl3_12
| spl3_14
| spl3_15
| spl3_13 ),
inference(avatar_split_clause,[],[f270,f299,f308,f304,f295]) ).
fof(f270,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| apart_point_and_line(intersection_point(sK0,sK2),sK0) ),
inference(resolution,[],[f244,f137]) ).
fof(f137,plain,
distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
inference(resolution,[],[f98,f116]) ).
fof(f116,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f98,plain,
~ equal_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f94]) ).
fof(f244,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(sK0,sK2),X0)
| apart_point_and_line(intersection_point(sK0,sK2),X1) ),
inference(resolution,[],[f135,f97]) ).
fof(f135,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,[],[f92]) ).
fof(f92,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,[],[f91]) ).
fof(f91,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,[],[f50]) ).
fof(f50,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/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO203+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:53:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (23907)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (23910)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)
% 0.14/0.37 % (23908)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (23909)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (23912)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (23911)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (23913)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (23914)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.19/0.38 TRYING [4]
% 0.19/0.38 TRYING [4]
% 0.19/0.38 TRYING [4]
% 0.19/0.38 TRYING [5]
% 0.19/0.38 TRYING [5]
% 0.19/0.38 TRYING [5]
% 0.19/0.38 TRYING [5]
% 0.19/0.39 % (23913)First to succeed.
% 0.19/0.39 % (23913)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23907"
% 0.19/0.39 % (23913)Refutation found. Thanks to Tanya!
% 0.19/0.39 % SZS status Theorem for theBenchmark
% 0.19/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.39 % (23913)------------------------------
% 0.19/0.39 % (23913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.39 % (23913)Termination reason: Refutation
% 0.19/0.39
% 0.19/0.39 % (23913)Memory used [KB]: 1132
% 0.19/0.39 % (23913)Time elapsed: 0.020 s
% 0.19/0.39 % (23913)Instructions burned: 33 (million)
% 0.19/0.39 % (23907)Success in time 0.037 s
%------------------------------------------------------------------------------