TSTP Solution File: GEO182+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n023.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 16:12:08 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 87 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 25 ~; 24 |; 12 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 81 ( 69 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,plain,
$false,
inference(resolution,[],[f267,f165]) ).
fof(f165,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(f267,plain,
! [X0] : convergent_lines(sF4,X0),
inference(resolution,[],[f236,f130]) ).
fof(f130,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f236,plain,
! [X2,X3] :
( convergent_lines(parallel_through_point(X2,sK0),X3)
| convergent_lines(sF4,X3) ),
inference(resolution,[],[f233,f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X1,X2) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X2,X0] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X2,X0)
| convergent_lines(X1,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f233,plain,
! [X0] : convergent_lines(sF4,parallel_through_point(X0,sK0)),
inference(resolution,[],[f223,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f223,plain,
! [X6] : distinct_lines(sF4,parallel_through_point(X6,sK0)),
inference(resolution,[],[f216,f158]) ).
fof(f158,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f216,plain,
! [X0] :
( apart_point_and_line(sK0,X0)
| distinct_lines(sF4,X0) ),
inference(resolution,[],[f151,f173]) ).
fof(f173,plain,
apart_point_and_line(sK0,sF4),
inference(definition_folding,[],[f137,f172]) ).
fof(f172,plain,
line_connecting(sK1,sK2) = sF4,
introduced(function_definition,[]) ).
fof(f137,plain,
apart_point_and_line(sK0,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK1,sK2)
& apart_point_and_line(sK0,line_connecting(sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f106,f107]) ).
fof(f107,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X2)
& apart_point_and_line(X0,line_connecting(X1,X2)) )
=> ( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK1,sK2)
& apart_point_and_line(sK0,line_connecting(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X2)
& apart_point_and_line(X0,line_connecting(X1,X2)) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
? [X2,X1,X0] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X0)
& apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0,X2,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X2,X1] :
( distinct_points(X1,X0)
=> ( apart_point_and_line(X2,line_connecting(X1,X0))
=> apart_point_and_line(X2,line_connecting(X0,X1)) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X2,X1,X0] :
( apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X0)
=> ( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:46:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (31164)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.49 % (31148)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (31156)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.50 % (31140)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (31148)First to succeed.
% 0.18/0.52 % (31148)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (31148)------------------------------
% 0.18/0.52 % (31148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (31148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (31148)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (31148)Memory used [KB]: 5628
% 0.18/0.52 % (31148)Time elapsed: 0.115 s
% 0.18/0.52 % (31148)Instructions burned: 9 (million)
% 0.18/0.52 % (31148)------------------------------
% 0.18/0.52 % (31148)------------------------------
% 0.18/0.52 % (31135)Success in time 0.175 s
%------------------------------------------------------------------------------