TSTP Solution File: GEO210+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO210+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 : n007.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 05:16:08 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 93 ( 40 ~; 32 |; 13 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 47 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(avatar_sat_refutation,[],[f141,f156,f171]) ).
fof(f171,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f170,plain,
( $false
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f166,f61]) ).
fof(f61,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( distinct_lines(sK1,orthogonal_through_point(sK2,sK0))
& ~ unorthogonal_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f33,f58]) ).
fof(f58,plain,
( ? [X0,X1,X2] :
( distinct_lines(X1,orthogonal_through_point(X2,X0))
& ~ unorthogonal_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ( distinct_lines(sK1,orthogonal_through_point(sK2,sK0))
& ~ unorthogonal_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1,X2] :
( distinct_lines(X1,orthogonal_through_point(X2,X0))
& ~ unorthogonal_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X0,X1,X2] :
( distinct_lines(X1,orthogonal_through_point(X2,X0))
& ~ unorthogonal_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,orthogonal_through_point(X2,X0)) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X8,X5,X6] :
( ( ~ unorthogonal_lines(X5,X6)
& ~ apart_point_and_line(X8,X5) )
=> ~ distinct_lines(X5,orthogonal_through_point(X6,X8)) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X8,X5,X6] :
( ( ~ unorthogonal_lines(X5,X6)
& ~ apart_point_and_line(X8,X5) )
=> ~ distinct_lines(X5,orthogonal_through_point(X6,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f166,plain,
( unorthogonal_lines(sK1,sK2)
| ~ spl3_5 ),
inference(resolution,[],[f155,f66]) ).
fof(f66,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc1) ).
fof(f155,plain,
( ! [X0] :
( unorthogonal_lines(orthogonal_through_point(sK2,sK0),X0)
| unorthogonal_lines(sK1,X0) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl3_5
<=> ! [X0] :
( unorthogonal_lines(sK1,X0)
| unorthogonal_lines(orthogonal_through_point(sK2,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f156,plain,
( spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f148,f154,f114]) ).
fof(f114,plain,
( spl3_2
<=> ! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(sK2,sK0))
| apart_point_and_line(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f148,plain,
! [X0,X1] :
( unorthogonal_lines(sK1,X0)
| apart_point_and_line(X1,orthogonal_through_point(sK2,sK0))
| apart_point_and_line(X1,sK1)
| unorthogonal_lines(orthogonal_through_point(sK2,sK0),X0) ),
inference(resolution,[],[f86,f62]) ).
fof(f62,plain,
distinct_lines(sK1,orthogonal_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f59]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| unorthogonal_lines(X2,X3) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
fof(f141,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f135,f60]) ).
fof(f60,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f135,plain,
( apart_point_and_line(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f115,f69]) ).
fof(f69,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X8,X5] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc2) ).
fof(f115,plain,
( ! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(sK2,sK0))
| apart_point_and_line(X0,sK1) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO210+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n007.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 : Fri May 3 21:59:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (14533)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (14538)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (14535)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (14534)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (14539)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (14537)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 % (14536)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 % (14540)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [1,1]
% 0.21/0.37 TRYING [1,1]
% 0.21/0.37 TRYING [2,1]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [2,1]
% 0.21/0.37 TRYING [3]
% 0.21/0.38 TRYING [3,1]
% 0.21/0.38 TRYING [3,1]
% 0.21/0.38 TRYING [4,1]
% 0.21/0.38 % (14539)First to succeed.
% 0.21/0.38 TRYING [4,1]
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (14539)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14533"
% 0.21/0.38 TRYING [4]
% 0.21/0.38 TRYING [5,1]
% 0.21/0.38 TRYING [5,1]
% 0.21/0.38 % (14539)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (14539)------------------------------
% 0.21/0.38 % (14539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (14539)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (14539)Memory used [KB]: 900
% 0.21/0.38 % (14539)Time elapsed: 0.006 s
% 0.21/0.38 % (14539)Instructions burned: 6 (million)
% 0.21/0.38 % (14533)Success in time 0.022 s
%------------------------------------------------------------------------------