TSTP Solution File: GEO197+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO197+2 : 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 : n003.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 11:14:38 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 66 ( 13 unt; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 212 ( 78 ~; 89 |; 30 &)
% ( 6 <=>; 9 =>; 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 : 86 ( 77 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f728,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f153,f170,f212,f325,f701,f727]) ).
fof(f727,plain,
spl3_22,
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f716,plain,
( $false
| spl3_22 ),
inference(resolution,[],[f700,f41]) ).
fof(f41,plain,
apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( apart_point_and_line(intersection_point(sK2,sK1),sK0)
& ~ 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])],[f17,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X2,X1),X0)
& ~ 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(sK2,sK1),sK0)
& ~ 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(f17,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X2,X1),X0)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X2,X1),X0)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ 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(X2,X1),X0) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( ~ 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(X2,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f700,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK1),sK0)
| spl3_22 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f698,plain,
( spl3_22
<=> apart_point_and_line(intersection_point(sK2,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f701,plain,
( ~ spl3_1
| ~ spl3_22
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f691,f323,f698,f81]) ).
fof(f81,plain,
( spl3_1
<=> convergent_lines(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f323,plain,
( spl3_11
<=> ! [X0] :
( apart_point_and_line(X0,sK2)
| ~ apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f691,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK1),sK0)
| ~ convergent_lines(sK2,sK1)
| ~ spl3_11 ),
inference(duplicate_literal_removal,[],[f684]) ).
fof(f684,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK1),sK0)
| ~ convergent_lines(sK2,sK1)
| ~ convergent_lines(sK2,sK1)
| ~ spl3_11 ),
inference(resolution,[],[f339,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f49,f44]) ).
fof(f44,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f49,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f339,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(sK2,X0),sK1)
| ~ apart_point_and_line(intersection_point(sK2,X0),sK0)
| ~ convergent_lines(sK2,X0) )
| ~ spl3_11 ),
inference(resolution,[],[f324,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f48,f44]) ).
fof(f48,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f324,plain,
( ! [X0] :
( apart_point_and_line(X0,sK2)
| ~ apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( ~ spl3_4
| spl3_11
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f218,f168,f323,f144]) ).
fof(f144,plain,
( spl3_4
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f168,plain,
( spl3_7
<=> ! [X0] :
( apart_point_and_line(X0,sK2)
| ~ distinct_points(X0,intersection_point(sK0,sK1))
| apart_point_and_line(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f218,plain,
( ! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1)
| ~ apart_point_and_line(X0,sK0)
| ~ convergent_lines(sK0,sK1) )
| ~ spl3_7 ),
inference(resolution,[],[f169,f48]) ).
fof(f169,plain,
( ! [X0] :
( ~ distinct_points(X0,intersection_point(sK0,sK1))
| apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f212,plain,
spl3_6,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f210,plain,
( $false
| spl3_6 ),
inference(resolution,[],[f200,f38]) ).
fof(f38,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f200,plain,
( ~ convergent_lines(sK2,sK1)
| spl3_6 ),
inference(resolution,[],[f185,f45]) ).
fof(f45,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f185,plain,
( ~ distinct_lines(sK2,sK1)
| spl3_6 ),
inference(resolution,[],[f174,f42]) ).
fof(f42,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(f174,plain,
( ! [X0] :
( distinct_lines(X0,sK2)
| ~ distinct_lines(X0,sK1) )
| spl3_6 ),
inference(resolution,[],[f166,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,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(f166,plain,
( ~ distinct_lines(sK1,sK2)
| spl3_6 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl3_6
<=> distinct_lines(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f170,plain,
( ~ spl3_4
| ~ spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f115,f168,f164,f144]) ).
fof(f115,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1)
| ~ distinct_lines(sK1,sK2)
| ~ distinct_points(X0,intersection_point(sK0,sK1))
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f89,f68]) ).
fof(f89,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,sK2)
| ~ distinct_points(X1,intersection_point(sK0,sK1)) ),
inference(resolution,[],[f55,f40]) ).
fof(f40,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f55,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,[],[f34]) ).
fof(f34,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,[],[f33]) ).
fof(f33,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,[],[f15]) ).
fof(f15,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,[],[f9]) ).
fof(f9,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(f153,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f151,plain,
( $false
| spl3_4 ),
inference(resolution,[],[f146,f37]) ).
fof(f37,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f146,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f98,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f96,plain,
( $false
| spl3_1 ),
inference(resolution,[],[f83,f38]) ).
fof(f83,plain,
( ~ convergent_lines(sK2,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO197+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:53:03 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (6532)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (6533)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (6534)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (6537)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (6536)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (6535)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)
% 0.15/0.38 % (6538)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (6539)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3,3]
% 0.15/0.38 TRYING [3,3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3,4]
% 0.15/0.39 TRYING [3,4]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [3,5]
% 0.15/0.39 TRYING [3,5]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [3,6]
% 0.15/0.39 TRYING [3,6]
% 0.15/0.39 TRYING [6]
% 0.15/0.40 TRYING [3,7]
% 0.15/0.40 TRYING [3,7]
% 0.15/0.40 % (6535)First to succeed.
% 0.15/0.40 TRYING [6]
% 0.15/0.40 % (6535)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (6535)------------------------------
% 0.15/0.40 % (6535)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (6535)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (6535)Memory used [KB]: 1113
% 0.15/0.40 % (6535)Time elapsed: 0.020 s
% 0.15/0.40 % (6535)Instructions burned: 32 (million)
% 0.15/0.40 % (6535)------------------------------
% 0.15/0.40 % (6535)------------------------------
% 0.15/0.40 % (6532)Success in time 0.036 s
%------------------------------------------------------------------------------