TSTP Solution File: GEO172+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO172+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 : n015.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 16:08:55 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 125 ( 52 ~; 40 |; 23 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 66 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f87,plain,
$false,
inference(subsumption_resolution,[],[f83,f71]) ).
fof(f71,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK2),
inference(unit_resulting_resolution,[],[f54,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci4) ).
fof(f54,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ~ apart_point_and_line(sK0,sK2)
& convergent_lines(sK1,sK2)
& distinct_points(sK0,intersection_point(sK1,sK2))
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f42]) ).
fof(f42,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X0,X2)
& convergent_lines(X1,X2)
& distinct_points(X0,intersection_point(X1,X2))
& ~ apart_point_and_line(X0,X1) )
=> ( ~ apart_point_and_line(sK0,sK2)
& convergent_lines(sK1,sK2)
& distinct_points(sK0,intersection_point(sK1,sK2))
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,X2)
& convergent_lines(X1,X2)
& distinct_points(X0,intersection_point(X1,X2))
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X0,X2,X1] :
( distinct_points(X0,intersection_point(X1,X2))
& ~ apart_point_and_line(X0,X1)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X2,X1] :
( ( ~ apart_point_and_line(X0,X1)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_points(X0,intersection_point(X1,X2)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X0,X1] :
( ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0)
& convergent_lines(X0,X1) )
=> ~ distinct_points(X2,intersection_point(X0,X1)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X0,X1] :
( ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0)
& convergent_lines(X0,X1) )
=> ~ distinct_points(X2,intersection_point(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f83,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK2),
inference(unit_resulting_resolution,[],[f55,f70,f52,f53,f69,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X3)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X3)
| ~ distinct_lines(X1,X3)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0,X3] :
( apart_point_and_line(X1,X3)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X3,X2,X0,X1] :
( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X3,X2,X0,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X2,X3) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f69,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK1),
inference(unit_resulting_resolution,[],[f54,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f53,plain,
distinct_points(sK0,intersection_point(sK1,sK2)),
inference(cnf_transformation,[],[f43]) ).
fof(f52,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f43]) ).
fof(f70,plain,
distinct_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f61,f54,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0)
| distinct_lines(X0,X2) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f61,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f55,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO172+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:35:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (26918)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (26918)First to succeed.
% 0.20/0.53 % (26918)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (26918)------------------------------
% 0.20/0.53 % (26918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26918)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (26918)Memory used [KB]: 5884
% 0.20/0.53 % (26918)Time elapsed: 0.122 s
% 0.20/0.53 % (26918)Instructions burned: 2 (million)
% 0.20/0.53 % (26918)------------------------------
% 0.20/0.53 % (26918)------------------------------
% 0.20/0.53 % (26914)Success in time 0.176 s
%------------------------------------------------------------------------------