TSTP Solution File: GEO221+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO221+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 : Wed Aug 31 16:09:20 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 82 ( 33 ~; 36 |; 5 &)
% ( 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 : 62 ( 53 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f145,plain,
$false,
inference(avatar_sat_refutation,[],[f129,f140,f144]) ).
fof(f144,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f143,plain,
( $false
| ~ spl3_3 ),
inference(resolution,[],[f142,f94]) ).
fof(f94,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] : ~ 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(f142,plain,
( unorthogonal_lines(orthogonal_through_point(sK2,sK0),sK2)
| ~ spl3_3 ),
inference(resolution,[],[f128,f94]) ).
fof(f128,plain,
( ! [X1] :
( unorthogonal_lines(orthogonal_through_point(sK2,sK1),X1)
| unorthogonal_lines(orthogonal_through_point(sK2,sK0),X1) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl3_3
<=> ! [X1] :
( unorthogonal_lines(orthogonal_through_point(sK2,sK0),X1)
| unorthogonal_lines(orthogonal_through_point(sK2,sK1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f140,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| ~ spl3_2 ),
inference(resolution,[],[f132,f105]) ).
fof(f105,plain,
~ apart_point_and_line(sK1,orthogonal_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( distinct_lines(orthogonal_through_point(sK2,sK0),orthogonal_through_point(sK2,sK1))
& ~ apart_point_and_line(sK1,orthogonal_through_point(sK2,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f78,f79]) ).
fof(f79,plain,
( ? [X0,X1,X2] :
( distinct_lines(orthogonal_through_point(X2,X0),orthogonal_through_point(X2,X1))
& ~ apart_point_and_line(X1,orthogonal_through_point(X2,X0)) )
=> ( distinct_lines(orthogonal_through_point(sK2,sK0),orthogonal_through_point(sK2,sK1))
& ~ apart_point_and_line(sK1,orthogonal_through_point(sK2,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0,X1,X2] :
( distinct_lines(orthogonal_through_point(X2,X0),orthogonal_through_point(X2,X1))
& ~ apart_point_and_line(X1,orthogonal_through_point(X2,X0)) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
? [X1,X2,X0] :
( distinct_lines(orthogonal_through_point(X0,X1),orthogonal_through_point(X0,X2))
& ~ apart_point_and_line(X2,orthogonal_through_point(X0,X1)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
~ ! [X2,X1,X0] :
( ~ apart_point_and_line(X2,orthogonal_through_point(X0,X1))
=> ~ distinct_lines(orthogonal_through_point(X0,X1),orthogonal_through_point(X0,X2)) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X5,X8,X9] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X5,X8,X9] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f132,plain,
( apart_point_and_line(sK1,orthogonal_through_point(sK2,sK0))
| ~ spl3_2 ),
inference(resolution,[],[f122,f83]) ).
fof(f83,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(f122,plain,
( ! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(sK2,sK1))
| apart_point_and_line(X0,orthogonal_through_point(sK2,sK0)) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl3_2
<=> ! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(sK2,sK0))
| apart_point_and_line(X0,orthogonal_through_point(sK2,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f129,plain,
( spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f124,f127,f121]) ).
fof(f124,plain,
! [X0,X1] :
( unorthogonal_lines(orthogonal_through_point(sK2,sK0),X1)
| unorthogonal_lines(orthogonal_through_point(sK2,sK1),X1)
| apart_point_and_line(X0,orthogonal_through_point(sK2,sK0))
| apart_point_and_line(X0,orthogonal_through_point(sK2,sK1)) ),
inference(resolution,[],[f102,f106]) ).
fof(f106,plain,
distinct_lines(orthogonal_through_point(sK2,sK0),orthogonal_through_point(sK2,sK1)),
inference(cnf_transformation,[],[f80]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X2,X1) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X2,X0,X3] :
( unorthogonal_lines(X2,X3)
| apart_point_and_line(X1,X0)
| unorthogonal_lines(X0,X3)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X0,X2) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X2,X0,X3] :
( unorthogonal_lines(X0,X3)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X1,X2,X0,X3] :
( distinct_lines(X0,X2)
=> ( unorthogonal_lines(X0,X3)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X5,X8,X6,X7] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X5)
| apart_point_and_line(X8,X6)
| unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO221+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:55:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (16284)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (16292)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (16289)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (16283)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51 % (16292)Instruction limit reached!
% 0.20/0.51 % (16292)------------------------------
% 0.20/0.51 % (16292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16300)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51 % (16290)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (16305)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51 % (16300)First to succeed.
% 0.20/0.51 % (16292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16292)Termination reason: Unknown
% 0.20/0.51 % (16292)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (16292)Memory used [KB]: 6012
% 0.20/0.51 % (16292)Time elapsed: 0.104 s
% 0.20/0.51 % (16292)Instructions burned: 3 (million)
% 0.20/0.51 % (16292)------------------------------
% 0.20/0.51 % (16292)------------------------------
% 0.20/0.51 % (16300)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (16300)------------------------------
% 0.20/0.51 % (16300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16300)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (16300)Memory used [KB]: 6012
% 0.20/0.51 % (16300)Time elapsed: 0.105 s
% 0.20/0.51 % (16300)Instructions burned: 2 (million)
% 0.20/0.51 % (16300)------------------------------
% 0.20/0.51 % (16300)------------------------------
% 0.20/0.51 % (16272)Success in time 0.164 s
%------------------------------------------------------------------------------