TSTP Solution File: GEO203+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO203+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 16:09:11 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 10 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 113 ( 37 ~; 39 |; 26 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 57 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(subsumption_resolution,[],[f180,f77]) ).
fof(f77,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK2),
inference(resolution,[],[f67,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,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(f67,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( distinct_lines(line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)),sK2)
& distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0))
& convergent_lines(sK2,sK0)
& convergent_lines(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f52,f53]) ).
fof(f53,plain,
( ? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X2,X1),intersection_point(X2,X0)),X2)
& distinct_points(intersection_point(X2,X1),intersection_point(X2,X0))
& convergent_lines(X2,X0)
& convergent_lines(X2,X1) )
=> ( distinct_lines(line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)),sK2)
& distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0))
& convergent_lines(sK2,sK0)
& convergent_lines(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X2,X1),intersection_point(X2,X0)),X2)
& distinct_points(intersection_point(X2,X1),intersection_point(X2,X0))
& convergent_lines(X2,X0)
& convergent_lines(X2,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
? [X1,X2,X0] :
( distinct_lines(line_connecting(intersection_point(X0,X2),intersection_point(X0,X1)),X0)
& distinct_points(intersection_point(X0,X2),intersection_point(X0,X1))
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X1,X2,X0] :
( distinct_lines(line_connecting(intersection_point(X0,X2),intersection_point(X0,X1)),X0)
& convergent_lines(X0,X2)
& distinct_points(intersection_point(X0,X2),intersection_point(X0,X1))
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X1,X2,X0] :
( ( convergent_lines(X0,X2)
& distinct_points(intersection_point(X0,X2),intersection_point(X0,X1))
& convergent_lines(X0,X1) )
=> ~ distinct_lines(line_connecting(intersection_point(X0,X2),intersection_point(X0,X1)),X0) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X2,X1] :
( ( convergent_lines(X0,X2)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X1) )
=> ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X2,X1] :
( ( convergent_lines(X0,X2)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X1) )
=> ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f180,plain,
apart_point_and_line(intersection_point(sK2,sK1),sK2),
inference(subsumption_resolution,[],[f179,f81]) ).
fof(f81,plain,
~ apart_point_and_line(intersection_point(sK2,sK0),sK2),
inference(resolution,[],[f68,f72]) ).
fof(f68,plain,
convergent_lines(sK2,sK0),
inference(cnf_transformation,[],[f54]) ).
fof(f179,plain,
( apart_point_and_line(intersection_point(sK2,sK0),sK2)
| apart_point_and_line(intersection_point(sK2,sK1),sK2) ),
inference(subsumption_resolution,[],[f178,f85]) ).
fof(f85,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0))),
inference(resolution,[],[f69,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f69,plain,
distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0)),
inference(cnf_transformation,[],[f54]) ).
fof(f178,plain,
( apart_point_and_line(intersection_point(sK2,sK1),line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)))
| apart_point_and_line(intersection_point(sK2,sK0),sK2)
| apart_point_and_line(intersection_point(sK2,sK1),sK2) ),
inference(subsumption_resolution,[],[f176,f88]) ).
fof(f88,plain,
~ apart_point_and_line(intersection_point(sK2,sK0),line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0))),
inference(resolution,[],[f69,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f176,plain,
( apart_point_and_line(intersection_point(sK2,sK0),line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)))
| apart_point_and_line(intersection_point(sK2,sK1),sK2)
| apart_point_and_line(intersection_point(sK2,sK1),line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)))
| apart_point_and_line(intersection_point(sK2,sK0),sK2) ),
inference(resolution,[],[f90,f69]) ).
fof(f90,plain,
! [X2,X1] :
( ~ distinct_points(X1,X2)
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X1,line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)))
| apart_point_and_line(X2,line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)))
| apart_point_and_line(X2,sK2) ),
inference(resolution,[],[f70,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X2,X1)
| ~ distinct_lines(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X0,X3) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X3,X1,X0,X2] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X0,X3)
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X3,X1,X0,X2] :
( ( distinct_lines(X0,X3)
& distinct_points(X2,X1) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X1,X0,X4] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f70,plain,
distinct_lines(line_connecting(intersection_point(sK2,sK1),intersection_point(sK2,sK0)),sK2),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO203+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
% 0.13/0.34 % Computer : n011.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 21:33:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (4651)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)
% 0.20/0.47 % (4643)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)
% 0.20/0.48 % (4634)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)
% 0.20/0.49 % (4643)Instruction limit reached!
% 0.20/0.49 % (4643)------------------------------
% 0.20/0.49 % (4643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (4643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (4643)Termination reason: Unknown
% 0.20/0.49 % (4643)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (4643)Memory used [KB]: 6012
% 0.20/0.49 % (4643)Time elapsed: 0.069 s
% 0.20/0.49 % (4643)Instructions burned: 7 (million)
% 0.20/0.49 % (4643)------------------------------
% 0.20/0.49 % (4643)------------------------------
% 0.20/0.49 % (4638)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.49 % (4638)First to succeed.
% 0.20/0.49 % (4638)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (4638)------------------------------
% 0.20/0.49 % (4638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (4638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (4638)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (4638)Memory used [KB]: 6012
% 0.20/0.49 % (4638)Time elapsed: 0.086 s
% 0.20/0.49 % (4638)Instructions burned: 3 (million)
% 0.20/0.49 % (4638)------------------------------
% 0.20/0.49 % (4638)------------------------------
% 0.20/0.49 % (4625)Success in time 0.146 s
%------------------------------------------------------------------------------