TSTP Solution File: GEO206+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO206+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_sat --cores 0 -t %d %s
% Computer : n011.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 1.59s 0.59s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 17 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 100 ( 43 ~; 36 |; 13 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 71 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146,plain,
$false,
inference(subsumption_resolution,[],[f141,f95]) ).
fof(f95,plain,
~ apart_point_and_line(sK1,sK2),
inference(literal_reordering,[],[f82]) ).
fof(f82,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ~ apart_point_and_line(sK1,sK2)
& distinct_lines(sK2,parallel_through_point(sK0,sK1))
& ~ convergent_lines(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f52,f63]) ).
fof(f63,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& distinct_lines(X2,parallel_through_point(X0,X1))
& ~ convergent_lines(X2,X0) )
=> ( ~ apart_point_and_line(sK1,sK2)
& distinct_lines(sK2,parallel_through_point(sK0,sK1))
& ~ convergent_lines(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& distinct_lines(X2,parallel_through_point(X0,X1))
& ~ convergent_lines(X2,X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X1,X0,X2] :
( distinct_lines(X2,parallel_through_point(X0,X1))
& ~ convergent_lines(X2,X0)
& ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X1,X0,X2] :
( ( ~ convergent_lines(X2,X0)
& ~ apart_point_and_line(X1,X2) )
=> ~ distinct_lines(X2,parallel_through_point(X0,X1)) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X2,X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X2,X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f141,plain,
apart_point_and_line(sK1,sK2),
inference(resolution,[],[f131,f108]) ).
fof(f108,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(literal_reordering,[],[f73]) ).
fof(f73,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f131,plain,
! [X0] :
( apart_point_and_line(X0,parallel_through_point(sK0,sK1))
| apart_point_and_line(X0,sK2) ),
inference(subsumption_resolution,[],[f127,f103]) ).
fof(f103,plain,
~ convergent_lines(sK2,sK0),
inference(literal_reordering,[],[f80]) ).
fof(f80,plain,
~ convergent_lines(sK2,sK0),
inference(cnf_transformation,[],[f64]) ).
fof(f127,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| convergent_lines(sK2,sK0)
| apart_point_and_line(X0,parallel_through_point(sK0,sK1)) ),
inference(resolution,[],[f122,f94]) ).
fof(f94,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(literal_reordering,[],[f71]) ).
fof(f71,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f122,plain,
! [X0,X1] :
( convergent_lines(parallel_through_point(sK0,sK1),X1)
| apart_point_and_line(X0,parallel_through_point(sK0,sK1))
| apart_point_and_line(X0,sK2)
| convergent_lines(sK2,X1) ),
inference(resolution,[],[f112,f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(literal_reordering,[],[f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1)
| convergent_lines(X1,X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X2,X1,X0] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X2,X1,X0] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X1,X0)
| convergent_lines(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f112,plain,
! [X0] :
( convergent_lines(sK2,parallel_through_point(sK0,sK1))
| apart_point_and_line(X0,parallel_through_point(sK0,sK1))
| apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f105,f89]) ).
fof(f89,plain,
distinct_lines(sK2,parallel_through_point(sK0,sK1)),
inference(literal_reordering,[],[f81]) ).
fof(f81,plain,
distinct_lines(sK2,parallel_through_point(sK0,sK1)),
inference(cnf_transformation,[],[f64]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| convergent_lines(X0,X2) ),
inference(literal_reordering,[],[f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X2)
| convergent_lines(X0,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X2)
=> ( convergent_lines(X0,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cup1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:25:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.57 % (4516)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)
% 0.20/0.58 TRYING [1]
% 0.20/0.58 TRYING [2]
% 1.59/0.58 TRYING [3]
% 1.59/0.58 % (4518)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.59/0.58 % (4526)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)
% 1.59/0.58 % (4518)Instruction limit reached!
% 1.59/0.58 % (4518)------------------------------
% 1.59/0.58 % (4518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (4518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (4518)Termination reason: Unknown
% 1.59/0.58 % (4518)Termination phase: Naming
% 1.59/0.58
% 1.59/0.58 % (4518)Memory used [KB]: 895
% 1.59/0.58 % (4518)Time elapsed: 0.004 s
% 1.59/0.58 % (4518)Instructions burned: 2 (million)
% 1.59/0.58 % (4518)------------------------------
% 1.59/0.58 % (4518)------------------------------
% 1.59/0.58 % (4524)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)
% 1.59/0.58 % (4534)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.59/0.58 % (4524)First to succeed.
% 1.59/0.59 TRYING [4]
% 1.59/0.59 % (4534)Also succeeded, but the first one will report.
% 1.59/0.59 TRYING [5]
% 1.59/0.59 % (4524)Refutation found. Thanks to Tanya!
% 1.59/0.59 % SZS status Theorem for theBenchmark
% 1.59/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.59 % (4524)------------------------------
% 1.59/0.59 % (4524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (4524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (4524)Termination reason: Refutation
% 1.59/0.59
% 1.59/0.59 % (4524)Memory used [KB]: 5756
% 1.59/0.59 % (4524)Time elapsed: 0.005 s
% 1.59/0.59 % (4524)Instructions burned: 4 (million)
% 1.59/0.59 % (4524)------------------------------
% 1.59/0.59 % (4524)------------------------------
% 1.59/0.59 % (4509)Success in time 0.235 s
%------------------------------------------------------------------------------