TSTP Solution File: GEO196+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO196+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_uns --cores 0 -t %d %s
% Computer : n026.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 16:09:07 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 18 unt; 0 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 191 ( 71 ~; 64 |; 41 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 101 ( 85 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(avatar_sat_refutation,[],[f75,f180,f192]) ).
fof(f192,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f191,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f183,f167]) ).
fof(f167,plain,
~ distinct_points(intersection_point(sK1,sK3),intersection_point(sK0,sK2)),
inference(unit_resulting_resolution,[],[f56,f57,f82,f79,f80,f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X0,X3)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X0,X3)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X3,X1] :
( ~ distinct_lines(X2,X1)
| ~ distinct_points(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X3,X2] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X0,X3)
| ~ distinct_lines(X2,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X3,X2] :
( ( distinct_points(X0,X3)
& distinct_lines(X2,X1) )
=> ( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X4,X3,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f80,plain,
~ apart_point_and_line(intersection_point(sK1,sK3),sK3),
inference(unit_resulting_resolution,[],[f53,f58,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| ~ apart_point_and_line(X1,X0)
| distinct_points(X1,intersection_point(X2,X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X0)
| ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0) )
| distinct_points(X1,intersection_point(X2,X0)) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X2,X1,X0] :
( ~ convergent_lines(X0,X2)
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
| distinct_points(X1,intersection_point(X0,X2)) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( distinct_points(X1,intersection_point(X0,X2))
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
=> ( ( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) )
=> distinct_points(X1,intersection_point(X0,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,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/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f58,plain,
convergent_lines(sK1,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( apart_point_and_line(intersection_point(sK1,sK3),sK0)
| apart_point_and_line(intersection_point(sK1,sK3),sK2) )
& convergent_lines(sK0,sK2)
& convergent_lines(sK1,sK3)
& ~ apart_point_and_line(intersection_point(sK0,sK2),sK3)
& ~ apart_point_and_line(intersection_point(sK0,sK2),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f43,f44]) ).
fof(f44,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X1,X3),X0)
| apart_point_and_line(intersection_point(X1,X3),X2) )
& convergent_lines(X0,X2)
& convergent_lines(X1,X3)
& ~ apart_point_and_line(intersection_point(X0,X2),X3)
& ~ apart_point_and_line(intersection_point(X0,X2),X1) )
=> ( ( apart_point_and_line(intersection_point(sK1,sK3),sK0)
| apart_point_and_line(intersection_point(sK1,sK3),sK2) )
& convergent_lines(sK0,sK2)
& convergent_lines(sK1,sK3)
& ~ apart_point_and_line(intersection_point(sK0,sK2),sK3)
& ~ apart_point_and_line(intersection_point(sK0,sK2),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X1,X3),X0)
| apart_point_and_line(intersection_point(X1,X3),X2) )
& convergent_lines(X0,X2)
& convergent_lines(X1,X3)
& ~ apart_point_and_line(intersection_point(X0,X2),X3)
& ~ apart_point_and_line(intersection_point(X0,X2),X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X0,X3,X1,X2] :
( ( apart_point_and_line(intersection_point(X3,X2),X0)
| apart_point_and_line(intersection_point(X3,X2),X1) )
& convergent_lines(X0,X1)
& convergent_lines(X3,X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X3) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X3,X0,X1,X2] :
( ( apart_point_and_line(intersection_point(X3,X2),X0)
| apart_point_and_line(intersection_point(X3,X2),X1) )
& convergent_lines(X0,X1)
& convergent_lines(X3,X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X3,X0,X1,X2] :
( ( convergent_lines(X0,X1)
& convergent_lines(X3,X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2) )
=> ( ~ apart_point_and_line(intersection_point(X3,X2),X1)
& ~ apart_point_and_line(intersection_point(X3,X2),X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X4,X3] :
( ( convergent_lines(X0,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X4)
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X0)
& ~ apart_point_and_line(intersection_point(X3,X4),X1) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X4,X3] :
( ( convergent_lines(X0,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X4)
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X0)
& ~ apart_point_and_line(intersection_point(X3,X4),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f53,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f79,plain,
~ apart_point_and_line(intersection_point(sK1,sK3),sK1),
inference(unit_resulting_resolution,[],[f53,f58,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X2,X0))
| ~ convergent_lines(X2,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f82,plain,
distinct_lines(sK1,sK3),
inference(resolution,[],[f58,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f57,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f56,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f183,plain,
( distinct_points(intersection_point(sK1,sK3),intersection_point(sK0,sK2))
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f59,f70,f62]) ).
fof(f70,plain,
( apart_point_and_line(intersection_point(sK1,sK3),sK2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl4_1
<=> apart_point_and_line(intersection_point(sK1,sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f59,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f180,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f179]) ).
fof(f179,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f163,f126]) ).
fof(f126,plain,
( distinct_points(intersection_point(sK1,sK3),intersection_point(sK0,sK2))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f59,f74,f63]) ).
fof(f74,plain,
( apart_point_and_line(intersection_point(sK1,sK3),sK0)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl4_2
<=> apart_point_and_line(intersection_point(sK1,sK3),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f163,plain,
~ distinct_points(intersection_point(sK1,sK3),intersection_point(sK0,sK2)),
inference(unit_resulting_resolution,[],[f57,f56,f96,f79,f80,f52]) ).
fof(f96,plain,
distinct_lines(sK3,sK1),
inference(unit_resulting_resolution,[],[f76,f50]) ).
fof(f76,plain,
convergent_lines(sK3,sK1),
inference(unit_resulting_resolution,[],[f65,f58,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X0)
| convergent_lines(X2,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',apart6) ).
fof(f65,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(f75,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f60,f72,f68]) ).
fof(f60,plain,
( apart_point_and_line(intersection_point(sK1,sK3),sK0)
| apart_point_and_line(intersection_point(sK1,sK3),sK2) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO196+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:41:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 % (18800)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.52 % (18784)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.52 % (18792)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (18789)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.53 % (18792)Instruction limit reached!
% 0.21/0.53 % (18792)------------------------------
% 0.21/0.53 % (18792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (18779)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (18792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (18781)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.54 % (18792)Termination reason: Unknown
% 0.21/0.54 % (18792)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (18792)Memory used [KB]: 6012
% 0.21/0.54 % (18792)Time elapsed: 0.117 s
% 0.21/0.54 % (18792)Instructions burned: 7 (million)
% 0.21/0.54 % (18792)------------------------------
% 0.21/0.54 % (18792)------------------------------
% 0.21/0.54 % (18778)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.54 % (18782)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.54 % (18779)Instruction limit reached!
% 0.21/0.54 % (18779)------------------------------
% 0.21/0.54 % (18779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (18779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (18779)Termination reason: Unknown
% 0.21/0.54 % (18779)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (18779)Memory used [KB]: 5884
% 0.21/0.54 % (18779)Time elapsed: 0.124 s
% 0.21/0.54 % (18779)Instructions burned: 3 (million)
% 0.21/0.54 % (18779)------------------------------
% 0.21/0.54 % (18779)------------------------------
% 0.21/0.54 % (18784)First to succeed.
% 0.21/0.54 % (18788)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (18784)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (18784)------------------------------
% 0.21/0.54 % (18784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (18784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (18784)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (18784)Memory used [KB]: 6012
% 0.21/0.54 % (18784)Time elapsed: 0.129 s
% 0.21/0.54 % (18784)Instructions burned: 5 (million)
% 0.21/0.54 % (18784)------------------------------
% 0.21/0.54 % (18784)------------------------------
% 0.21/0.54 % (18776)Success in time 0.182 s
%------------------------------------------------------------------------------