TSTP Solution File: GEO201+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO201+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 : n004.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 16:12:15 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 67 ( 14 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 163 ( 60 ~; 79 |; 8 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 91 ( 87 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f297,plain,
$false,
inference(avatar_sat_refutation,[],[f185,f216,f243,f274,f295]) ).
fof(f295,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f276,f53]) ).
fof(f53,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( convergent_lines(sK0,sK1)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f22,f43]) ).
fof(f43,plain,
( ? [X0,X1] :
( convergent_lines(X0,X1)
& distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) )
=> ( convergent_lines(sK0,sK1)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1] :
( convergent_lines(X0,X1)
& distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f276,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl2_1 ),
inference(resolution,[],[f168,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f55,f58]) ).
fof(f58,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f55,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
| distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( distinct_points(X0,intersection_point(X1,X2))
| ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) )
=> distinct_points(X0,intersection_point(X1,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f168,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl2_1
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f274,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| ~ spl2_5 ),
inference(resolution,[],[f261,f61]) ).
fof(f61,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f261,plain,
( distinct_lines(sK0,sK0)
| ~ spl2_5 ),
inference(resolution,[],[f245,f131]) ).
fof(f131,plain,
! [X0] :
( convergent_lines(sK1,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f79,f57]) ).
fof(f57,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(f79,plain,
! [X4,X5] :
( convergent_lines(sK0,X4)
| distinct_lines(X4,X5)
| convergent_lines(sK1,X5) ),
inference(resolution,[],[f67,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f67,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| convergent_lines(sK0,X0)
| convergent_lines(sK1,X1) ),
inference(resolution,[],[f65,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( 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/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f65,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f54,f53]) ).
fof(f245,plain,
( ~ convergent_lines(sK1,sK0)
| ~ spl2_5 ),
inference(resolution,[],[f184,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f56,f58]) ).
fof(f56,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f184,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK1)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl2_5
<=> apart_point_and_line(intersection_point(sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f243,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| ~ spl2_4 ),
inference(resolution,[],[f230,f61]) ).
fof(f230,plain,
( distinct_lines(sK0,sK0)
| ~ spl2_4 ),
inference(resolution,[],[f217,f131]) ).
fof(f217,plain,
( ~ convergent_lines(sK1,sK0)
| ~ spl2_4 ),
inference(resolution,[],[f180,f97]) ).
fof(f180,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl2_4
<=> apart_point_and_line(intersection_point(sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f216,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f203,plain,
( $false
| ~ spl2_2 ),
inference(resolution,[],[f198,f53]) ).
fof(f198,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl2_2 ),
inference(resolution,[],[f172,f106]) ).
fof(f172,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl2_2
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f185,plain,
( spl2_4
| spl2_5
| spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f158,f170,f166,f182,f178]) ).
fof(f158,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK1,sK0),sK1)
| apart_point_and_line(intersection_point(sK1,sK0),sK0) ),
inference(resolution,[],[f108,f52]) ).
fof(f52,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f44]) ).
fof(f108,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,sK1)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X1,sK0) ),
inference(resolution,[],[f49,f64]) ).
fof(f64,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f48,f53]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X0)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X2,X3)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| ~ distinct_points(X2,X3)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2,X3] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X2,X3)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X0,X1)
| ~ distinct_points(X2,X3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ( distinct_lines(X0,X1)
& distinct_points(X2,X3) )
=> ( apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4,X0,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO201+2 : 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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:27:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (22623)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)
% 0.20/0.48 % (22615)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48 % (22615)Instruction limit reached!
% 0.20/0.48 % (22615)------------------------------
% 0.20/0.48 % (22615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (22615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (22615)Termination reason: Unknown
% 0.20/0.48 % (22615)Termination phase: Blocked clause elimination
% 0.20/0.48
% 0.20/0.48 % (22615)Memory used [KB]: 895
% 0.20/0.48 % (22615)Time elapsed: 0.005 s
% 0.20/0.48 % (22615)Instructions burned: 2 (million)
% 0.20/0.48 % (22615)------------------------------
% 0.20/0.48 % (22615)------------------------------
% 0.20/0.50 % (22609)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (22617)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (22617)First to succeed.
% 0.20/0.51 % (22617)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (22617)------------------------------
% 0.20/0.51 % (22617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (22617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (22617)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (22617)Memory used [KB]: 5500
% 0.20/0.51 % (22617)Time elapsed: 0.108 s
% 0.20/0.51 % (22617)Instructions burned: 8 (million)
% 0.20/0.51 % (22617)------------------------------
% 0.20/0.51 % (22617)------------------------------
% 0.20/0.51 % (22606)Success in time 0.155 s
%------------------------------------------------------------------------------