TSTP Solution File: GEO202+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO202+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 : n009.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 16:09:10 EDT 2022
% Result : Theorem 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 15 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 42 ~; 42 |; 14 &)
% ( 0 <=>; 13 =>; 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 : 88 ( 82 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(unit_resulting_resolution,[],[f69,f64,f83,f85,f96,f86,f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2,X3] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X2,X1)
| ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X2,X1,X0,X3] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X2,X1)
| ~ distinct_lines(X0,X3) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X2,X1,X0,X3] :
( ( distinct_points(X2,X1)
& distinct_lines(X0,X3) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,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(X1,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f86,plain,
~ apart_point_and_line(intersection_point(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),line_connecting(sK1,sK0)),
inference(unit_resulting_resolution,[],[f58,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,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/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f58,plain,
convergent_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
? [X1,X0,X2] :
( convergent_lines(line_connecting(X0,X2),line_connecting(X0,X1))
& distinct_points(intersection_point(line_connecting(X0,X2),line_connecting(X0,X1)),X0)
& distinct_points(X0,X1)
& distinct_points(X0,X2) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X1,X2,X0] :
( distinct_points(intersection_point(line_connecting(X0,X2),line_connecting(X0,X1)),X0)
& distinct_points(X0,X2)
& convergent_lines(line_connecting(X0,X2),line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X1,X2,X0] :
( ( distinct_points(X0,X2)
& convergent_lines(line_connecting(X0,X2),line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X2),line_connecting(X0,X1)),X0) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X2,X1] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X2,X1] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f96,plain,
distinct_points(sK1,intersection_point(line_connecting(sK1,sK2),line_connecting(sK1,sK0))),
inference(unit_resulting_resolution,[],[f45,f57,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,X0)
| distinct_points(X2,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( ~ distinct_points(X2,X0)
| distinct_points(X2,X1)
| distinct_points(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( distinct_points(X2,X0)
=> ( distinct_points(X0,X1)
| distinct_points(X2,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f57,plain,
distinct_points(intersection_point(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),sK1),
inference(cnf_transformation,[],[f27]) ).
fof(f45,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(f85,plain,
~ apart_point_and_line(intersection_point(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f58,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,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/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f83,plain,
distinct_lines(line_connecting(sK1,sK0),line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f62,f58,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f62,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(f64,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f55,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f55,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f69,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK0)),
inference(unit_resulting_resolution,[],[f56,f54]) ).
fof(f56,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GEO202+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 21:35:35 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.45 % (3715)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)
% 0.14/0.45 % (3720)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)
% 0.14/0.45 % (3712)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)
% 0.14/0.46 % (3732)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.14/0.46 % (3731)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.46 % (3723)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)
% 0.14/0.46 % (3728)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)
% 0.14/0.46 % (3723)Refutation not found, incomplete strategy% (3723)------------------------------
% 0.14/0.46 % (3723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (3720)Refutation not found, incomplete strategy% (3720)------------------------------
% 0.14/0.46 % (3720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (3720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (3720)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46
% 0.14/0.46 % (3720)Memory used [KB]: 5884
% 0.14/0.46 % (3720)Time elapsed: 0.111 s
% 0.14/0.46 % (3720)Instructions burned: 2 (million)
% 0.14/0.46 % (3720)------------------------------
% 0.14/0.46 % (3720)------------------------------
% 0.14/0.46 % (3716)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)
% 0.14/0.46 % (3715)Refutation not found, incomplete strategy% (3715)------------------------------
% 0.14/0.46 % (3715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (3723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (3723)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46
% 0.14/0.46 % (3723)Memory used [KB]: 5884
% 0.14/0.46 % (3723)Time elapsed: 0.104 s
% 0.14/0.46 % (3723)Instructions burned: 2 (million)
% 0.14/0.46 % (3723)------------------------------
% 0.14/0.46 % (3723)------------------------------
% 0.14/0.47 % (3715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (3715)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.47
% 0.14/0.47 % (3715)Memory used [KB]: 5884
% 0.14/0.47 % (3715)Time elapsed: 0.115 s
% 0.14/0.47 % (3715)Instructions burned: 3 (million)
% 0.14/0.47 % (3715)------------------------------
% 0.14/0.47 % (3715)------------------------------
% 0.14/0.47 % (3712)First to succeed.
% 0.14/0.47 % (3712)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Theorem for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (3712)------------------------------
% 0.14/0.47 % (3712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (3712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (3712)Termination reason: Refutation
% 0.14/0.47
% 0.14/0.47 % (3712)Memory used [KB]: 6012
% 0.14/0.47 % (3712)Time elapsed: 0.117 s
% 0.14/0.47 % (3712)Instructions burned: 9 (million)
% 0.14/0.47 % (3712)------------------------------
% 0.14/0.47 % (3712)------------------------------
% 0.14/0.47 % (3703)Success in time 0.168 s
%------------------------------------------------------------------------------