TSTP Solution File: GEO226+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO226+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 : 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 16:12:23 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 3 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 85 ( 27 ~; 15 |; 33 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 32 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(subsumption_resolution,[],[f105,f82]) ).
fof(f82,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ! [X2] :
( point(X2)
& ( apart_point_and_line(X2,sK0)
| apart_point_and_line(X2,sK1) ) )
& line(sK0)
& line(sK1)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f65,f66]) ).
fof(f66,plain,
( ? [X0,X1] :
( ! [X2] :
( point(X2)
& ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ) )
& line(X0)
& line(X1)
& convergent_lines(X0,X1) )
=> ( ! [X2] :
( point(X2)
& ( apart_point_and_line(X2,sK0)
| apart_point_and_line(X2,sK1) ) )
& line(sK0)
& line(sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
? [X0,X1] :
( ! [X2] :
( point(X2)
& ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ) )
& line(X0)
& line(X1)
& convergent_lines(X0,X1) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
? [X1,X0] :
( ! [X2] :
( point(X2)
& ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) ) )
& line(X1)
& line(X0)
& convergent_lines(X1,X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
? [X1,X0] :
( ! [X2] :
( point(X2)
& ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) ) )
& line(X1)
& line(X0)
& convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
~ ! [X1,X0] :
( ( line(X1)
& line(X0)
& convergent_lines(X1,X0) )
=> ? [X2] :
( point(X2)
=> ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X8,X7] :
( ( convergent_lines(X7,X8)
& line(X8)
& line(X7) )
=> ? [X0] :
( point(X0)
=> ( ~ apart_point_and_line(X0,X8)
& ~ apart_point_and_line(X0,X7) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X8,X7] :
( ( convergent_lines(X7,X8)
& line(X8)
& line(X7) )
=> ? [X0] :
( point(X0)
=> ( ~ apart_point_and_line(X0,X8)
& ~ apart_point_and_line(X0,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f105,plain,
~ convergent_lines(sK0,sK1),
inference(duplicate_literal_removal,[],[f104]) ).
fof(f104,plain,
( ~ convergent_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f101,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( 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(f101,plain,
! [X0] :
( apart_point_and_line(intersection_point(X0,sK1),sK0)
| ~ convergent_lines(X0,sK1) ),
inference(resolution,[],[f95,f85]) ).
fof(f85,plain,
! [X2] :
( apart_point_and_line(X2,sK1)
| apart_point_and_line(X2,sK0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f95,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ~ 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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO226+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 20:59:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.52 % (2483)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (2483)First to succeed.
% 0.19/0.53 % (2483)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (2483)------------------------------
% 0.19/0.53 % (2483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (2483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (2483)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (2483)Memory used [KB]: 5373
% 0.19/0.53 % (2483)Time elapsed: 0.110 s
% 0.19/0.53 % (2483)Instructions burned: 2 (million)
% 0.19/0.53 % (2483)------------------------------
% 0.19/0.53 % (2483)------------------------------
% 0.19/0.53 % (2475)Success in time 0.19 s
%------------------------------------------------------------------------------