TSTP Solution File: GEO209+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO209+2 : 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_sat --cores 0 -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 : Wed Aug 31 16:12:17 EDT 2022
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 8 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 150 ( 62 ~; 37 |; 42 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 65 ( 49 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(avatar_sat_refutation,[],[f154,f172,f180]) ).
fof(f180,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f179]) ).
fof(f179,plain,
( $false
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f173,f65]) ).
fof(f65,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ~ convergent_lines(sK2,sK3)
& ~ convergent_lines(sK1,sK3)
& distinct_lines(sK2,sK1)
& apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f52,f53]) ).
fof(f53,plain,
( ? [X0,X1,X2,X3] :
( ~ convergent_lines(X2,X3)
& ~ convergent_lines(X1,X3)
& distinct_lines(X2,X1)
& apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
=> ( ~ convergent_lines(sK2,sK3)
& ~ convergent_lines(sK1,sK3)
& distinct_lines(sK2,sK1)
& apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ convergent_lines(X2,X3)
& ~ convergent_lines(X1,X3)
& distinct_lines(X2,X1)
& apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
? [X0,X3,X1,X2] :
( ~ convergent_lines(X1,X2)
& ~ convergent_lines(X3,X2)
& distinct_lines(X1,X3)
& apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X3) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
? [X3,X1,X2,X0] :
( distinct_lines(X1,X3)
& apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X3,X2)
& ~ apart_point_and_line(X0,X3)
& ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X3,X1,X2,X0] :
( ( apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X3,X2)
& ~ apart_point_and_line(X0,X3)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,X3) ),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X5,X7,X6,X8] :
( ( ~ convergent_lines(X8,X6)
& ~ apart_point_and_line(X5,X8)
& ~ convergent_lines(X7,X6)
& apart_point_and_line(X5,X6)
& ~ apart_point_and_line(X5,X7) )
=> ~ distinct_lines(X7,X8) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X5,X7,X6,X8] :
( ( ~ convergent_lines(X8,X6)
& ~ apart_point_and_line(X5,X8)
& ~ convergent_lines(X7,X6)
& apart_point_and_line(X5,X6)
& ~ apart_point_and_line(X5,X7) )
=> ~ distinct_lines(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f173,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl4_6 ),
inference(resolution,[],[f153,f64]) ).
fof(f64,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f153,plain,
( ! [X0] :
( apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK2) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl4_6
<=> ! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f172,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f171,plain,
( $false
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f167,f69]) ).
fof(f69,plain,
~ convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f54]) ).
fof(f167,plain,
( convergent_lines(sK2,sK3)
| ~ spl4_5 ),
inference(resolution,[],[f161,f68]) ).
fof(f68,plain,
~ convergent_lines(sK1,sK3),
inference(cnf_transformation,[],[f54]) ).
fof(f161,plain,
( ! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK2,X0) )
| ~ spl4_5 ),
inference(resolution,[],[f150,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X0)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f150,plain,
( convergent_lines(sK2,sK1)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl4_5
<=> convergent_lines(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f154,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f125,f152,f148]) ).
fof(f125,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| convergent_lines(sK2,sK1)
| apart_point_and_line(X0,sK1) ),
inference(resolution,[],[f82,f67]) ).
fof(f67,plain,
distinct_lines(sK2,sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X2,X0] :
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X2,X1] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X2,X1] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cup1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO209+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.31 % Computer : n003.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Aug 29 21:28:37 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.46 % (21618)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.47 % (21634)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.48 % (21616)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.48 % (21624)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.48 % (21625)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.48 % (21626)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.48 % (21617)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48 % (21618)Instruction limit reached!
% 0.15/0.48 % (21618)------------------------------
% 0.15/0.48 % (21618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (21618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (21618)Termination reason: Unknown
% 0.15/0.48 % (21618)Termination phase: Blocked clause elimination
% 0.15/0.48
% 0.15/0.48 % (21618)Memory used [KB]: 895
% 0.15/0.48 % (21618)Time elapsed: 0.004 s
% 0.15/0.48 % (21618)Instructions burned: 2 (million)
% 0.15/0.48 % (21618)------------------------------
% 0.15/0.48 % (21618)------------------------------
% 0.15/0.48 % (21617)First to succeed.
% 0.15/0.48 % (21617)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (21617)------------------------------
% 0.15/0.48 % (21617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (21617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (21617)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (21617)Memory used [KB]: 5500
% 0.15/0.48 % (21617)Time elapsed: 0.116 s
% 0.15/0.48 % (21617)Instructions burned: 5 (million)
% 0.15/0.48 % (21617)------------------------------
% 0.15/0.48 % (21617)------------------------------
% 0.15/0.48 % (21609)Success in time 0.167 s
%------------------------------------------------------------------------------