TSTP Solution File: GEO200+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO200+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 : n031.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 11:14:40 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 11 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 133 ( 50 ~; 63 |; 6 &)
% ( 5 <=>; 9 =>; 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 : 71 ( 67 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f367,plain,
$false,
inference(avatar_sat_refutation,[],[f334,f351,f356,f361,f366]) ).
fof(f366,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f362,f206]) ).
fof(f206,plain,
distinct_points(sK1,sK0),
inference(resolution,[],[f195,f96]) ).
fof(f96,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(f195,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(X0,sK0) ),
inference(resolution,[],[f187,f96]) ).
fof(f187,plain,
! [X0,X1] :
( distinct_points(X0,sK1)
| distinct_points(sK0,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f177,f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f70,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(f177,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f139,f96]) ).
fof(f139,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(sK1,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f137,f116]) ).
fof(f137,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f116,f94]) ).
fof(f94,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f52,f92]) ).
fof(f92,plain,
( ? [X0,X1] :
( ~ equal_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) )
=> ( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1] :
( ~ equal_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( distinct_points(X0,X1)
=> equal_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1] :
( distinct_points(X0,X1)
=> equal_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f362,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_6 ),
inference(resolution,[],[f296,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,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(f296,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl2_6
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f361,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f357,f94]) ).
fof(f357,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_5 ),
inference(resolution,[],[f292,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,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(f292,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl2_5
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f356,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f352,f206]) ).
fof(f352,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_4 ),
inference(resolution,[],[f288,f105]) ).
fof(f288,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl2_4
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f351,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f350,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f347,f94]) ).
fof(f347,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_3 ),
inference(resolution,[],[f284,f106]) ).
fof(f284,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl2_3
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f334,plain,
( spl2_5
| spl2_6
| spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f271,f286,f282,f294,f290]) ).
fof(f271,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f234,f206]) ).
fof(f234,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,line_connecting(sK1,sK0))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK1,sK0))
| apart_point_and_line(X0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f132,f134]) ).
fof(f134,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(resolution,[],[f95,f113]) ).
fof(f113,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,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(f95,plain,
~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f93]) ).
fof(f132,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,[],[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(flattening,[],[f90]) ).
fof(f90,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n031.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 : Tue Apr 30 06:16:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (1576)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1577)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (1578)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (1579)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 % (1580)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 % (1581)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (1582)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (1583)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 [1,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3,2]
% 0.14/0.37 TRYING [3,2]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4,2]
% 0.14/0.38 TRYING [4,2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (1582)First to succeed.
% 0.14/0.38 TRYING [5,2]
% 0.14/0.38 TRYING [5,2]
% 0.14/0.38 % (1582)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (1582)------------------------------
% 0.14/0.38 % (1582)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (1582)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (1582)Memory used [KB]: 1021
% 0.14/0.38 % (1582)Time elapsed: 0.010 s
% 0.14/0.38 % (1582)Instructions burned: 14 (million)
% 0.14/0.38 % (1582)------------------------------
% 0.14/0.38 % (1582)------------------------------
% 0.14/0.38 % (1576)Success in time 0.016 s
%------------------------------------------------------------------------------