TSTP Solution File: GEO199+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO199+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 : 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 : Tue Apr 30 11:14:39 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 67 ( 10 unt; 0 def)
% Number of atoms : 205 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 216 ( 78 ~; 95 |; 28 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 103 ( 94 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2005,plain,
$false,
inference(avatar_sat_refutation,[],[f118,f228,f1464,f1479,f1963,f2004]) ).
fof(f2004,plain,
spl3_34,
inference(avatar_contradiction_clause,[],[f1981]) ).
fof(f1981,plain,
( $false
| spl3_34 ),
inference(resolution,[],[f1962,f44]) ).
fof(f44,plain,
apart_point_and_line(intersection_point(sK1,sK0),sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK2)
& ~ 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(X1,X0),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(sK1,sK0),sK2)
& ~ 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(X1,X0),X2)
& ~ 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(X1,X0),X2)
& ~ 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] :
( ( ~ 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(X1,X0),X2) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,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(X1,X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f1962,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| spl3_34 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f1960,plain,
( spl3_34
<=> apart_point_and_line(intersection_point(sK1,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f1963,plain,
( ~ spl3_1
| ~ spl3_34
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f1957,f1462,f1960,f98]) ).
fof(f98,plain,
( spl3_1
<=> convergent_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f1462,plain,
( spl3_26
<=> ! [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_26])]) ).
fof(f1957,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| ~ convergent_lines(sK1,sK0)
| ~ spl3_26 ),
inference(duplicate_literal_removal,[],[f1952]) ).
fof(f1952,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| ~ convergent_lines(sK1,sK0)
| ~ convergent_lines(sK1,sK0)
| ~ spl3_26 ),
inference(resolution,[],[f1485,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(f1485,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(sK1,X0),sK0)
| ~ apart_point_and_line(intersection_point(sK1,X0),sK2)
| ~ convergent_lines(sK1,X0) )
| ~ spl3_26 ),
inference(resolution,[],[f1463,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(f1463,plain,
( ! [X0] :
( apart_point_and_line(X0,sK1)
| ~ apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK0) )
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1479,plain,
spl3_25,
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| spl3_25 ),
inference(resolution,[],[f1466,f40]) ).
fof(f40,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f1466,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_25 ),
inference(resolution,[],[f1460,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(f1460,plain,
( ~ distinct_lines(sK1,sK0)
| spl3_25 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f1458,plain,
( spl3_25
<=> distinct_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f1464,plain,
( ~ spl3_4
| ~ spl3_25
| spl3_26 ),
inference(avatar_split_clause,[],[f410,f1462,f1458,f214]) ).
fof(f214,plain,
( spl3_4
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f410,plain,
! [X0] :
( apart_point_and_line(X0,sK1)
| ~ distinct_lines(sK1,sK0)
| apart_point_and_line(X0,sK0)
| ~ convergent_lines(sK0,sK1)
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f148,f64]) ).
fof(f64,plain,
! [X0] :
( distinct_points(X0,intersection_point(sK0,sK1))
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f56,f43]) ).
fof(f43,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f39]) ).
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(f148,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,intersection_point(X1,X2))
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ convergent_lines(X1,X2) ),
inference(duplicate_literal_removal,[],[f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X1)
| ~ distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(resolution,[],[f78,f51]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X3,intersection_point(X0,X1))
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f58,f50]) ).
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(f228,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| spl3_4 ),
inference(resolution,[],[f216,f40]) ).
fof(f216,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f118,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| spl3_1 ),
inference(resolution,[],[f112,f40]) ).
fof(f112,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_1 ),
inference(resolution,[],[f106,f47]) ).
fof(f106,plain,
( ! [X0] :
( convergent_lines(X0,sK0)
| ~ convergent_lines(X0,sK1) )
| spl3_1 ),
inference(resolution,[],[f100,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f100,plain,
( ~ convergent_lines(sK1,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO199+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 06:02:19 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (28202)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (28203)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (28205)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)
% 0.15/0.37 % (28206)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (28204)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (28207)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (28208)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (28209)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [2,2]
% 0.15/0.37 TRYING [2,2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3,3]
% 0.15/0.37 TRYING [3,3]
% 0.15/0.37 TRYING [4]
% 0.15/0.37 TRYING [4]
% 0.15/0.37 TRYING [3,4]
% 0.15/0.37 TRYING [3,4]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [3,5]
% 0.15/0.38 TRYING [3,5]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [3,6]
% 0.15/0.38 TRYING [3,6]
% 0.15/0.38 TRYING [3,7]
% 0.15/0.38 TRYING [3,7]
% 0.15/0.38 TRYING [6]
% 0.15/0.39 TRYING [3,8]
% 0.15/0.39 TRYING [3,8]
% 0.15/0.39 TRYING [6]
% 0.15/0.39 TRYING [3,9]
% 0.15/0.39 TRYING [3,9]
% 0.15/0.39 TRYING [7]
% 0.15/0.40 TRYING [3,10]
% 0.15/0.40 TRYING [3,10]
% 0.22/0.40 TRYING [7]
% 0.22/0.41 TRYING [3,11]
% 0.22/0.41 TRYING [3,11]
% 0.22/0.42 TRYING [8]
% 0.22/0.42 TRYING [3,12]
% 0.22/0.42 TRYING [3,12]
% 0.22/0.42 % (28205)First to succeed.
% 0.22/0.43 % (28205)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (28205)------------------------------
% 0.22/0.43 % (28205)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43 % (28205)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (28205)Memory used [KB]: 1697
% 0.22/0.43 % (28205)Time elapsed: 0.058 s
% 0.22/0.43 % (28205)Instructions burned: 107 (million)
% 0.22/0.43 % (28205)------------------------------
% 0.22/0.43 % (28205)------------------------------
% 0.22/0.43 % (28202)Success in time 0.074 s
%------------------------------------------------------------------------------