TSTP Solution File: GEO203+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO203+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 : n024.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 1.25s 0.53s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 8 unt; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 172 ( 59 ~; 67 |; 32 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 102 ( 90 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f404,plain,
$false,
inference(resolution,[],[f402,f54]) ).
fof(f54,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
& distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0)
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2] :
( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
& distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0)
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2] :
( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X1,X2,X0] :
( distinct_points(intersection_point(X1,X2),intersection_point(X1,X0))
& distinct_lines(line_connecting(intersection_point(X1,X2),intersection_point(X1,X0)),X1)
& convergent_lines(X1,X0)
& convergent_lines(X1,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X1,X2),intersection_point(X1,X0)),X1)
& distinct_points(intersection_point(X1,X2),intersection_point(X1,X0))
& convergent_lines(X1,X0)
& convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2] :
( ( distinct_points(intersection_point(X1,X2),intersection_point(X1,X0))
& convergent_lines(X1,X0)
& convergent_lines(X1,X2) )
=> ~ distinct_lines(line_connecting(intersection_point(X1,X2),intersection_point(X1,X0)),X1) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X2,X0,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,[],[f13]) ).
fof(f13,conjecture,
! [X2,X0,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(f402,plain,
~ convergent_lines(sK0,sK1),
inference(resolution,[],[f390,f55]) ).
fof(f55,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f390,plain,
( ~ convergent_lines(sK0,sK2)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f371,f57]) ).
fof(f57,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
inference(cnf_transformation,[],[f47]) ).
fof(f371,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ convergent_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK2) ),
inference(resolution,[],[f176,f56]) ).
fof(f56,plain,
distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f47]) ).
fof(f176,plain,
! [X3,X4,X5] :
( ~ distinct_lines(line_connecting(intersection_point(X3,X4),intersection_point(X3,X5)),X3)
| ~ convergent_lines(X3,X4)
| ~ convergent_lines(X3,X5)
| ~ distinct_points(intersection_point(X3,X4),intersection_point(X3,X5)) ),
inference(resolution,[],[f156,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f63,f60]) ).
fof(f60,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(f63,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X0,X2))
| ~ apart_point_and_line(X1,X0)
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X2)
| distinct_points(X1,intersection_point(X0,X2))
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) ) ),
inference(flattening,[],[f41]) ).
fof(f41,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,X2)
| apart_point_and_line(X1,X0) )
=> 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/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f156,plain,
! [X3,X4,X5] :
( apart_point_and_line(X5,X3)
| ~ distinct_points(intersection_point(X3,X4),X5)
| ~ convergent_lines(X3,X4)
| ~ distinct_lines(line_connecting(intersection_point(X3,X4),X5),X3) ),
inference(resolution,[],[f154,f78]) ).
fof(f154,plain,
! [X10,X8,X9] :
( apart_point_and_line(X8,X10)
| ~ distinct_points(X8,X9)
| apart_point_and_line(X9,X10)
| ~ distinct_lines(line_connecting(X8,X9),X10) ),
inference(duplicate_literal_removal,[],[f151]) ).
fof(f151,plain,
! [X10,X8,X9] :
( ~ distinct_points(X8,X9)
| ~ distinct_points(X8,X9)
| ~ distinct_points(X8,X9)
| apart_point_and_line(X8,X10)
| ~ distinct_lines(line_connecting(X8,X9),X10)
| apart_point_and_line(X9,X10) ),
inference(resolution,[],[f94,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f66,f60]) ).
fof(f66,plain,
! [X2,X0,X1] :
( distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X2)
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ( distinct_points(X1,X2)
& distinct_points(X1,X0) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X0) )
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X0,X1] :
( distinct_points(X0,X2)
=> ( apart_point_and_line(X1,line_connecting(X0,X2))
=> ( distinct_points(X1,X2)
& distinct_points(X1,X0) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f94,plain,
! [X14,X15,X12,X13] :
( apart_point_and_line(X12,line_connecting(X14,X15))
| ~ distinct_points(X14,X15)
| apart_point_and_line(X15,X13)
| ~ distinct_lines(line_connecting(X14,X15),X13)
| apart_point_and_line(X12,X13)
| ~ distinct_points(X12,X15) ),
inference(resolution,[],[f59,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(resolution,[],[f67,f60]) ).
fof(f67,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X2,X1)
| ~ distinct_points(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X2,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X3,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X3,X1,X2,X0] :
( ~ distinct_lines(X2,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X0,X3) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X3,X0,X1,X2] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X0,X3)
| ~ distinct_lines(X2,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X3,X0,X1,X2] :
( ( distinct_points(X0,X3)
& distinct_lines(X2,X1) )
=> ( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X4,X3,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(X0,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO203+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.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 21:40:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (25780)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (25773)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (25794)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (25776)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.53 TRYING [4]
% 1.25/0.53 % (25780)First to succeed.
% 1.25/0.53 % (25781)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.25/0.53 % (25780)Refutation found. Thanks to Tanya!
% 1.25/0.53 % SZS status Theorem for theBenchmark
% 1.25/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.53 % (25780)------------------------------
% 1.25/0.53 % (25780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53 % (25780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53 % (25780)Termination reason: Refutation
% 1.25/0.53
% 1.25/0.53 % (25780)Memory used [KB]: 1151
% 1.25/0.53 % (25780)Time elapsed: 0.094 s
% 1.25/0.53 % (25780)Instructions burned: 20 (million)
% 1.25/0.53 % (25780)------------------------------
% 1.25/0.53 % (25780)------------------------------
% 1.25/0.53 % (25769)Success in time 0.174 s
%------------------------------------------------------------------------------