TSTP Solution File: GEO204+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO204+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 : n026.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 05:16:06 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 79 ( 11 unt; 0 def)
% Number of atoms : 207 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 206 ( 78 ~; 93 |; 16 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 99 ( 90 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f747,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f155,f410,f422,f446,f470,f746]) ).
fof(f746,plain,
( ~ spl3_1
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f745,plain,
( $false
| ~ spl3_1
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f744,f140]) ).
fof(f140,plain,
( distinct_points(sK0,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl3_1
<=> distinct_points(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f744,plain,
( ~ distinct_points(sK0,sK2)
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f738,f148]) ).
fof(f148,plain,
~ distinct_points(sK1,sK2),
inference(resolution,[],[f118,f98]) ).
fof(f98,plain,
equal_points(sK1,sK2),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) )
& equal_points(sK1,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f95]) ).
fof(f95,plain,
( ? [X0,X1,X2] :
( ( ~ equal_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& equal_points(X1,X2)
& distinct_points(X0,X1) )
=> ( ( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) )
& equal_points(sK1,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ( ~ equal_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& equal_points(X1,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ( ~ equal_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& equal_points(X1,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( equal_points(X1,X2)
& distinct_points(X0,X1) )
=> ( equal_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( equal_points(X1,X2)
& distinct_points(X0,X1) )
=> ( equal_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f118,plain,
! [X0,X1] :
( ~ equal_points(X0,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ equal_points(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( equal_points(X0,X1)
=> ~ distinct_points(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( equal_points(X0,X1)
<=> ~ distinct_points(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f738,plain,
( distinct_points(sK1,sK2)
| ~ distinct_points(sK0,sK2)
| ~ spl3_15 ),
inference(resolution,[],[f431,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,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/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f431,plain,
( ! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK2))
| distinct_points(sK1,X0) )
| ~ spl3_15 ),
inference(resolution,[],[f370,f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f79]) ).
fof(f79,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) ).
fof(f370,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK2))
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl3_15
<=> apart_point_and_line(sK1,line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f470,plain,
( ~ spl3_1
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl3_1
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f466,f140]) ).
fof(f466,plain,
( ~ distinct_points(sK0,sK2)
| ~ spl3_12 ),
inference(resolution,[],[f358,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,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(f358,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl3_12
<=> apart_point_and_line(sK0,line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f446,plain,
~ spl3_11,
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f442,f97]) ).
fof(f97,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f96]) ).
fof(f442,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_11 ),
inference(resolution,[],[f354,f109]) ).
fof(f354,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl3_11
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f422,plain,
~ spl3_14,
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f418,f97]) ).
fof(f418,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_14 ),
inference(resolution,[],[f366,f110]) ).
fof(f366,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl3_14
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f410,plain,
( spl3_11
| spl3_12
| spl3_14
| spl3_15
| spl3_2 ),
inference(avatar_split_clause,[],[f323,f143,f368,f364,f356,f352]) ).
fof(f143,plain,
( spl3_2
<=> equal_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f323,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK2))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK2))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| spl3_2 ),
inference(resolution,[],[f262,f246]) ).
fof(f246,plain,
distinct_points(sK1,sK0),
inference(resolution,[],[f237,f148]) ).
fof(f237,plain,
! [X0] :
( distinct_points(X0,sK2)
| distinct_points(X0,sK0) ),
inference(resolution,[],[f208,f101]) ).
fof(f101,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(f208,plain,
! [X0,X1] :
( distinct_points(X0,sK2)
| distinct_points(sK0,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f199,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,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(f199,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK2) ),
inference(resolution,[],[f152,f148]) ).
fof(f152,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(sK1,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f149,f122]) ).
fof(f149,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f122,f97]) ).
fof(f262,plain,
( ! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,line_connecting(sK0,sK2))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X0,line_connecting(sK0,sK1)) )
| spl3_2 ),
inference(resolution,[],[f137,f157]) ).
fof(f157,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| spl3_2 ),
inference(resolution,[],[f145,f117]) ).
fof(f117,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f145,plain,
( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| spl3_2 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f137,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,[],[f94]) ).
fof(f94,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,[],[f93]) ).
fof(f93,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/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f155,plain,
spl3_1,
inference(avatar_split_clause,[],[f150,f139]) ).
fof(f150,plain,
distinct_points(sK0,sK2),
inference(resolution,[],[f149,f148]) ).
fof(f146,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f99,f143,f139]) ).
fof(f99,plain,
( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) ),
inference(cnf_transformation,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO204+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n026.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 22:05:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (17045)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (17049)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 % (17047)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (17048)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)
% 0.14/0.39 % (17050)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (17052)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)
% 0.14/0.39 % (17051)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 TRYING [1,1]
% 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 [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (17046)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [3,2]
% 0.14/0.39 TRYING [3,2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4,2]
% 0.14/0.40 TRYING [4,2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [3,3]
% 0.14/0.40 TRYING [3,3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4,3]
% 0.14/0.40 TRYING [4,3]
% 0.14/0.40 TRYING [5]
% 0.14/0.40 TRYING [5,2]
% 0.14/0.40 TRYING [5,2]
% 0.14/0.41 TRYING [5]
% 0.14/0.41 TRYING [5,3]
% 0.14/0.41 % (17051)First to succeed.
% 0.14/0.41 TRYING [5,3]
% 0.14/0.41 % (17051)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17045"
% 0.14/0.41 % (17051)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (17051)------------------------------
% 0.14/0.41 % (17051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.41 % (17051)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (17051)Memory used [KB]: 1155
% 0.14/0.41 % (17051)Time elapsed: 0.019 s
% 0.14/0.41 % (17051)Instructions burned: 36 (million)
% 0.14/0.41 % (17045)Success in time 0.035 s
%------------------------------------------------------------------------------