TSTP Solution File: GEO194+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO194+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 : 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 : Sun May 5 05:16:00 EDT 2024
% Result : Theorem 0.10s 0.37s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 72 ( 13 unt; 0 def)
% Number of atoms : 213 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 218 ( 77 ~; 97 |; 26 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 102 ( 93 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1297,plain,
$false,
inference(avatar_sat_refutation,[],[f109,f218,f222,f253,f275,f1258,f1296]) ).
fof(f1296,plain,
spl3_27,
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1278,plain,
( $false
| spl3_27 ),
inference(resolution,[],[f1257,f43]) ).
fof(f43,plain,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK1)
& 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(X0,X2),X1)
& 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(sK0,sK2),sK1)
& 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(X0,X2),X1)
& 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(X0,X2),X1)
& 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] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X0,X2),X1) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X0,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f1257,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| spl3_27 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1255,plain,
( spl3_27
<=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f1258,plain,
( ~ spl3_1
| ~ spl3_27
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f1252,f273,f1255,f98]) ).
fof(f98,plain,
( spl3_1
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f273,plain,
( spl3_9
<=> ! [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_9])]) ).
fof(f1252,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ convergent_lines(sK0,sK1)
| ~ spl3_9 ),
inference(duplicate_literal_removal,[],[f1246]) ).
fof(f1246,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ convergent_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1)
| ~ spl3_9 ),
inference(resolution,[],[f279,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/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f279,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(X0,sK1),sK0)
| ~ apart_point_and_line(intersection_point(X0,sK1),sK2)
| ~ convergent_lines(X0,sK1) )
| ~ spl3_9 ),
inference(resolution,[],[f274,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/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f274,plain,
( ! [X0] :
( apart_point_and_line(X0,sK1)
| ~ apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK0) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f275,plain,
( ~ spl3_4
| spl3_9
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f258,f216,f273,f208]) ).
fof(f208,plain,
( spl3_4
<=> convergent_lines(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f216,plain,
( spl3_6
<=> ! [X0] :
( apart_point_and_line(X0,sK1)
| ~ distinct_points(X0,intersection_point(sK0,sK2))
| apart_point_and_line(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f258,plain,
( ! [X0] :
( apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0)
| ~ apart_point_and_line(X0,sK2)
| ~ convergent_lines(sK0,sK2) )
| ~ spl3_6 ),
inference(resolution,[],[f217,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X1,X2))
| ~ apart_point_and_line(X0,X2)
| ~ convergent_lines(X1,X2) ),
inference(resolution,[],[f56,f51]) ).
fof(f56,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,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/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f217,plain,
( ! [X0] :
( ~ distinct_points(X0,intersection_point(sK0,sK2))
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f253,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f250,plain,
( $false
| spl3_5 ),
inference(resolution,[],[f239,f40]) ).
fof(f40,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f239,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_5 ),
inference(resolution,[],[f230,f61]) ).
fof(f61,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f54,f47]) ).
fof(f47,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f54,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
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/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f230,plain,
( ~ distinct_lines(sK1,sK0)
| spl3_5 ),
inference(resolution,[],[f227,f46]) ).
fof(f46,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f227,plain,
( ! [X0] :
( distinct_lines(X0,sK1)
| ~ distinct_lines(X0,sK0) )
| spl3_5 ),
inference(resolution,[],[f214,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f214,plain,
( ~ distinct_lines(sK0,sK1)
| spl3_5 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl3_5
<=> distinct_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f222,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| spl3_4 ),
inference(resolution,[],[f210,f42]) ).
fof(f42,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f210,plain,
( ~ convergent_lines(sK0,sK2)
| spl3_4 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f218,plain,
( ~ spl3_4
| ~ spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f123,f216,f212,f208]) ).
fof(f123,plain,
! [X0] :
( apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0)
| ~ distinct_lines(sK0,sK1)
| ~ distinct_points(X0,intersection_point(sK0,sK2))
| ~ convergent_lines(sK0,sK2) ),
inference(resolution,[],[f77,f50]) ).
fof(f77,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(sK0,sK2),X0)
| apart_point_and_line(X1,sK1)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,sK1)
| ~ distinct_points(X1,intersection_point(sK0,sK2)) ),
inference(resolution,[],[f58,f44]) ).
fof(f44,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
! [X2,X3,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)
| ~ distinct_lines(X2,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/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f109,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f106,plain,
( $false
| spl3_1 ),
inference(resolution,[],[f100,f40]) ).
fof(f100,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO194+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 22:03:38 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (2798)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33 % (2805)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.33 % (2800)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.33 % (2803)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.33 % (2806)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)
% 0.10/0.33 % (2799)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.33 % (2801)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)
% 0.10/0.34 % (2804)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [1,1]
% 0.10/0.34 TRYING [1,1]
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [2,2]
% 0.10/0.34 TRYING [2,2]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 TRYING [3,3]
% 0.10/0.34 TRYING [3,3]
% 0.10/0.34 TRYING [4]
% 0.10/0.34 TRYING [3,4]
% 0.10/0.34 TRYING [3,4]
% 0.10/0.34 TRYING [4]
% 0.10/0.34 TRYING [3,5]
% 0.10/0.34 TRYING [3,5]
% 0.10/0.34 TRYING [5]
% 0.10/0.34 TRYING [5]
% 0.10/0.34 TRYING [3,6]
% 0.10/0.34 TRYING [3,6]
% 0.10/0.34 TRYING [3,7]
% 0.10/0.34 TRYING [3,7]
% 0.10/0.35 TRYING [6]
% 0.10/0.35 TRYING [6]
% 0.10/0.35 TRYING [3,8]
% 0.10/0.35 TRYING [3,8]
% 0.10/0.35 TRYING [3,9]
% 0.10/0.35 TRYING [3,9]
% 0.10/0.36 TRYING [7]
% 0.10/0.36 TRYING [3,10]
% 0.10/0.36 TRYING [3,10]
% 0.10/0.37 TRYING [7]
% 0.10/0.37 % (2801)First to succeed.
% 0.10/0.37 % (2801)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2798"
% 0.10/0.37 TRYING [3,11]
% 0.10/0.37 TRYING [3,11]
% 0.10/0.37 % (2801)Refutation found. Thanks to Tanya!
% 0.10/0.37 % SZS status Theorem for theBenchmark
% 0.10/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.37 % (2801)------------------------------
% 0.10/0.37 % (2801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.37 % (2801)Termination reason: Refutation
% 0.10/0.37
% 0.10/0.37 % (2801)Memory used [KB]: 1316
% 0.10/0.37 % (2801)Time elapsed: 0.036 s
% 0.10/0.37 % (2801)Instructions burned: 71 (million)
% 0.10/0.37 % (2798)Success in time 0.049 s
%------------------------------------------------------------------------------