TSTP Solution File: GEO205+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO205+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 : n011.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 16:09:12 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 15 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 189 ( 76 ~; 78 |; 18 &)
% ( 2 <=>; 15 =>; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 106 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f230,plain,
$false,
inference(avatar_sat_refutation,[],[f76,f98,f229]) ).
fof(f229,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| ~ spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f209,f174]) ).
fof(f174,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(unit_resulting_resolution,[],[f89,f83,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X0,X2] :
( apart_point_and_line(X1,X0)
| distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X2] :
( apart_point_and_line(X1,X2)
=> ( apart_point_and_line(X1,X0)
| distinct_lines(X2,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f83,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK1),
inference(resolution,[],[f61,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[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(f61,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ~ distinct_lines(sK1,sK0)
& convergent_lines(sK2,sK1)
& ( ~ convergent_lines(sK2,sK0)
| distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f29,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2] :
( ~ distinct_lines(X1,X0)
& convergent_lines(X2,X1)
& ( ~ convergent_lines(X2,X0)
| distinct_points(intersection_point(X2,X1),intersection_point(X2,X0)) ) )
=> ( ~ distinct_lines(sK1,sK0)
& convergent_lines(sK2,sK1)
& ( ~ convergent_lines(sK2,sK0)
| distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0,X1,X2] :
( ~ distinct_lines(X1,X0)
& convergent_lines(X2,X1)
& ( ~ convergent_lines(X2,X0)
| distinct_points(intersection_point(X2,X1),intersection_point(X2,X0)) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X0,X1,X2] :
( ( ~ convergent_lines(X2,X0)
| distinct_points(intersection_point(X2,X1),intersection_point(X2,X0)) )
& convergent_lines(X2,X1)
& ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1,X2] :
( ( convergent_lines(X2,X1)
& ~ distinct_lines(X1,X0) )
=> ( ~ distinct_points(intersection_point(X2,X1),intersection_point(X2,X0))
& convergent_lines(X2,X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( ( ~ distinct_lines(X1,X2)
& convergent_lines(X0,X1) )
=> ( convergent_lines(X0,X2)
& ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( ( ~ distinct_lines(X1,X2)
& convergent_lines(X0,X1) )
=> ( convergent_lines(X0,X2)
& ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f89,plain,
~ distinct_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f53,f62,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0,X2] :
( ~ distinct_lines(X1,X0)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X0)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f62,plain,
~ distinct_lines(sK1,sK0),
inference(cnf_transformation,[],[f49]) ).
fof(f53,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(f209,plain,
( apart_point_and_line(intersection_point(sK2,sK1),sK0)
| ~ spl3_1
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f123,f99,f78,f75,f100,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X1)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X3,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X3,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X3,X2] :
( ~ distinct_points(X3,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X2,X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X3,X0] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X3,X1)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X2,X1,X3,X0] :
( ( distinct_points(X3,X1)
& distinct_lines(X2,X0) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X1,X3,X0] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f100,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK0),sK2)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f70,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ 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(f70,plain,
( convergent_lines(sK2,sK0)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl3_1
<=> convergent_lines(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f75,plain,
( distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl3_2
<=> distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f78,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK2),
inference(unit_resulting_resolution,[],[f61,f67]) ).
fof(f99,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK0),sK0)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f70,f64]) ).
fof(f123,plain,
distinct_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f62,f82,f55]) ).
fof(f82,plain,
distinct_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f63,f61,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2)
| distinct_lines(X2,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f63,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(f98,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f91,f71]) ).
fof(f71,plain,
( ~ convergent_lines(sK2,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f91,plain,
convergent_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f61,f62,f57]) ).
fof(f76,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f60,f73,f69]) ).
fof(f60,plain,
( distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0))
| ~ convergent_lines(sK2,sK0) ),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % 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 : n011.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 23:02:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (28643)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55 % (28642)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)
% 0.20/0.56 % (28642)First to succeed.
% 0.20/0.56 % (28658)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)
% 0.20/0.56 % (28659)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (28651)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (28650)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)
% 0.20/0.58 % (28650)Instruction limit reached!
% 0.20/0.58 % (28650)------------------------------
% 0.20/0.58 % (28650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28642)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (28642)------------------------------
% 0.20/0.58 % (28642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (28642)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (28642)Memory used [KB]: 6012
% 0.20/0.58 % (28642)Time elapsed: 0.129 s
% 0.20/0.58 % (28642)Instructions burned: 5 (million)
% 0.20/0.58 % (28642)------------------------------
% 0.20/0.58 % (28642)------------------------------
% 0.20/0.58 % (28634)Success in time 0.218 s
%------------------------------------------------------------------------------