TSTP Solution File: GEO196+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO196+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 : n028.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 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 15 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 187 ( 72 ~; 62 |; 38 &)
% ( 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 : 102 ( 86 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f109,f114]) ).
fof(f114,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f112,f99]) ).
fof(f99,plain,
~ distinct_points(intersection_point(sK2,sK0),intersection_point(sK3,sK1)),
inference(unit_resulting_resolution,[],[f57,f58,f75,f74,f78,f63]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X3)
| ~ distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X3,X1) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X3,X2,X0] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X0,X3) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X3,X1,X2,X0] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X0,X3)
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X3,X1,X2,X0] :
( ( distinct_lines(X0,X3)
& distinct_points(X2,X1) )
=> ( 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,[],[f11]) ).
fof(f11,axiom,
! [X3,X1,X0,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f78,plain,
~ apart_point_and_line(intersection_point(sK2,sK0),sK0),
inference(unit_resulting_resolution,[],[f54,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,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(f54,plain,
convergent_lines(sK2,sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ~ apart_point_and_line(intersection_point(sK3,sK1),sK0)
& ~ apart_point_and_line(intersection_point(sK3,sK1),sK2)
& convergent_lines(sK3,sK1)
& ( apart_point_and_line(intersection_point(sK2,sK0),sK1)
| apart_point_and_line(intersection_point(sK2,sK0),sK3) )
& convergent_lines(sK2,sK0) ),
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(X3,X1),X0)
& ~ apart_point_and_line(intersection_point(X3,X1),X2)
& convergent_lines(X3,X1)
& ( apart_point_and_line(intersection_point(X2,X0),X1)
| apart_point_and_line(intersection_point(X2,X0),X3) )
& convergent_lines(X2,X0) )
=> ( ~ apart_point_and_line(intersection_point(sK3,sK1),sK0)
& ~ apart_point_and_line(intersection_point(sK3,sK1),sK2)
& convergent_lines(sK3,sK1)
& ( apart_point_and_line(intersection_point(sK2,sK0),sK1)
| apart_point_and_line(intersection_point(sK2,sK0),sK3) )
& convergent_lines(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X3,X1),X0)
& ~ apart_point_and_line(intersection_point(X3,X1),X2)
& convergent_lines(X3,X1)
& ( apart_point_and_line(intersection_point(X2,X0),X1)
| apart_point_and_line(intersection_point(X2,X0),X3) )
& convergent_lines(X2,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
? [X3,X0,X1,X2] :
( ~ apart_point_and_line(intersection_point(X2,X0),X3)
& ~ apart_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X2,X0)
& ( apart_point_and_line(intersection_point(X1,X3),X0)
| apart_point_and_line(intersection_point(X1,X3),X2) )
& convergent_lines(X1,X3) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X0,X2,X3,X1] :
( ( apart_point_and_line(intersection_point(X1,X3),X0)
| apart_point_and_line(intersection_point(X1,X3),X2) )
& convergent_lines(X2,X0)
& ~ apart_point_and_line(intersection_point(X2,X0),X3)
& ~ apart_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X1,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X2,X3,X1] :
( ( convergent_lines(X2,X0)
& ~ apart_point_and_line(intersection_point(X2,X0),X3)
& ~ apart_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X1,X3) )
=> ( ~ apart_point_and_line(intersection_point(X1,X3),X2)
& ~ apart_point_and_line(intersection_point(X1,X3),X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X3,X0,X4] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X4)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X1)
& ~ apart_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X3,X0,X4] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X4)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X1)
& ~ apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f74,plain,
~ apart_point_and_line(intersection_point(sK2,sK0),sK2),
inference(unit_resulting_resolution,[],[f54,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,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(f75,plain,
distinct_lines(sK0,sK2),
inference(unit_resulting_resolution,[],[f52,f54,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1] :
( convergent_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X2,X0] :
( convergent_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X2,X0] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[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(f52,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(f58,plain,
~ apart_point_and_line(intersection_point(sK3,sK1),sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f57,plain,
~ apart_point_and_line(intersection_point(sK3,sK1),sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f112,plain,
( distinct_points(intersection_point(sK2,sK0),intersection_point(sK3,sK1))
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f79,f68,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f68,plain,
( apart_point_and_line(intersection_point(sK2,sK0),sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl4_1
<=> apart_point_and_line(intersection_point(sK2,sK0),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f79,plain,
~ apart_point_and_line(intersection_point(sK3,sK1),sK3),
inference(unit_resulting_resolution,[],[f56,f60]) ).
fof(f56,plain,
convergent_lines(sK3,sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f109,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f108,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f107,f99]) ).
fof(f107,plain,
( distinct_points(intersection_point(sK2,sK0),intersection_point(sK3,sK1))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f72,f83,f62]) ).
fof(f83,plain,
~ apart_point_and_line(intersection_point(sK3,sK1),sK1),
inference(unit_resulting_resolution,[],[f56,f59]) ).
fof(f72,plain,
( apart_point_and_line(intersection_point(sK2,sK0),sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl4_2
<=> apart_point_and_line(intersection_point(sK2,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f73,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f55,f70,f66]) ).
fof(f55,plain,
( apart_point_and_line(intersection_point(sK2,sK0),sK1)
| apart_point_and_line(intersection_point(sK2,sK0),sK3) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO196+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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:36:18 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.48 % (4159)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)
% 0.21/0.49 % (4167)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)
% 0.21/0.49 % (4159)First to succeed.
% 0.21/0.49 % (4175)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.50 % (4159)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (4159)------------------------------
% 0.21/0.50 % (4159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (4159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (4159)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (4159)Memory used [KB]: 6012
% 0.21/0.50 % (4159)Time elapsed: 0.092 s
% 0.21/0.50 % (4159)Instructions burned: 4 (million)
% 0.21/0.50 % (4159)------------------------------
% 0.21/0.50 % (4159)------------------------------
% 0.21/0.50 % (4154)Success in time 0.148 s
%------------------------------------------------------------------------------