TSTP Solution File: GEO170+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n003.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 16:08:54 EDT 2022
% Result : Theorem 1.26s 0.52s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 39 ~; 44 |; 12 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 63 ( 57 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f215,plain,
$false,
inference(subsumption_resolution,[],[f214,f151]) ).
fof(f151,plain,
~ apart_point_and_line(sK2,sK1),
inference(resolution,[],[f148,f121]) ).
fof(f121,plain,
incident_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
? [X1,X2,X0] :
( distinct_points(X0,X1)
& ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0,X1,X2] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X0,X2)
& distinct_points(X0,X1)
& incident_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(X0,X2)
& distinct_points(X0,X1)
& incident_point_and_line(X1,X2) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( incident_point_and_line(X0,X2)
& distinct_points(X0,X1)
& incident_point_and_line(X1,X2) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f148,plain,
! [X0,X1] :
( ~ incident_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( ~ incident_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( incident_point_and_line(X1,X0)
=> ~ apart_point_and_line(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( incident_point_and_line(X1,X0)
<=> ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( ~ apart_point_and_line(X0,X1)
<=> incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f214,plain,
apart_point_and_line(sK2,sK1),
inference(subsumption_resolution,[],[f213,f124]) ).
fof(f124,plain,
distinct_points(sK2,sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f213,plain,
( ~ distinct_points(sK2,sK0)
| apart_point_and_line(sK2,sK1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f210,plain,
( ~ distinct_points(sK2,sK0)
| ~ distinct_points(sK2,sK0)
| apart_point_and_line(sK2,sK1) ),
inference(resolution,[],[f190,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ 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/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f190,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK2,sK0))
| ~ distinct_points(X0,sK0)
| apart_point_and_line(X0,sK1) ),
inference(subsumption_resolution,[],[f189,f124]) ).
fof(f189,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK2,sK0))
| apart_point_and_line(X0,sK1)
| ~ distinct_points(sK2,sK0)
| ~ distinct_points(X0,sK0) ),
inference(subsumption_resolution,[],[f183,f152]) ).
fof(f152,plain,
~ apart_point_and_line(sK0,sK1),
inference(resolution,[],[f148,f122]) ).
fof(f122,plain,
incident_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f183,plain,
! [X0] :
( apart_point_and_line(sK0,sK1)
| ~ distinct_points(X0,sK0)
| apart_point_and_line(X0,sK1)
| ~ distinct_points(sK2,sK0)
| apart_point_and_line(X0,line_connecting(sK2,sK0)) ),
inference(resolution,[],[f171,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ 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(f171,plain,
! [X0,X1] :
( apart_point_and_line(X1,line_connecting(sK2,sK0))
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,line_connecting(sK2,sK0))
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X1,sK1) ),
inference(resolution,[],[f134,f149]) ).
fof(f149,plain,
distinct_lines(sK1,line_connecting(sK2,sK0)),
inference(resolution,[],[f129,f123]) ).
fof(f123,plain,
~ equal_lines(sK1,line_connecting(sK2,sK0)),
inference(cnf_transformation,[],[f99]) ).
fof(f129,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
<=> equal_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X0)
| ~ distinct_points(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X2,X3,X1,X0] :
( ~ distinct_lines(X1,X0)
| ~ distinct_points(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X3,X0,X2] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X3,X2)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X3,X0,X2] :
( ( distinct_points(X3,X2)
& distinct_lines(X1,X0) )
=> ( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X3,X1,X0] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.13/0.35 % Computer : n003.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 21:23:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (3087)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)
% 0.20/0.50 % (3094)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.50 % (3076)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (3087)Instruction limit reached!
% 0.20/0.50 % (3087)------------------------------
% 0.20/0.50 % (3087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (3092)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.51 % (3086)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (3087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (3087)Termination reason: Unknown
% 0.20/0.51 % (3087)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (3087)Memory used [KB]: 6012
% 0.20/0.51 % (3087)Time elapsed: 0.088 s
% 0.20/0.51 % (3087)Instructions burned: 7 (million)
% 0.20/0.51 % (3087)------------------------------
% 0.20/0.51 % (3087)------------------------------
% 0.20/0.51 % (3076)Instruction limit reached!
% 0.20/0.51 % (3076)------------------------------
% 0.20/0.51 % (3076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (3086)Instruction limit reached!
% 0.20/0.51 % (3086)------------------------------
% 0.20/0.51 % (3086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (3086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (3086)Termination reason: Unknown
% 0.20/0.51 % (3086)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (3086)Memory used [KB]: 6012
% 0.20/0.51 % (3086)Time elapsed: 0.107 s
% 0.20/0.51 % (3086)Instructions burned: 4 (million)
% 0.20/0.51 % (3086)------------------------------
% 0.20/0.51 % (3086)------------------------------
% 0.20/0.51 % (3092)First to succeed.
% 0.20/0.51 % (3077)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (3083)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)
% 1.26/0.52 % (3076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (3092)Refutation found. Thanks to Tanya!
% 1.26/0.52 % SZS status Theorem for theBenchmark
% 1.26/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.52 % (3092)------------------------------
% 1.26/0.52 % (3092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52 % (3092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (3092)Termination reason: Refutation
% 1.26/0.52
% 1.26/0.52 % (3092)Memory used [KB]: 6012
% 1.26/0.52 % (3092)Time elapsed: 0.111 s
% 1.26/0.52 % (3092)Instructions burned: 6 (million)
% 1.26/0.52 % (3092)------------------------------
% 1.26/0.52 % (3092)------------------------------
% 1.26/0.52 % (3071)Success in time 0.163 s
%------------------------------------------------------------------------------