TSTP Solution File: GEO203+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_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 16:09:11 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 157 ( 46 ~; 63 |; 32 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 74 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f235,plain,
$false,
inference(avatar_sat_refutation,[],[f166,f224,f234]) ).
fof(f234,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f233,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f225,f55]) ).
fof(f55,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(f225,plain,
( distinct_points(intersection_point(sK0,sK2),intersection_point(sK0,sK2))
| ~ spl3_1 ),
inference(resolution,[],[f155,f78]) ).
fof(f78,plain,
! [X3] :
( ~ apart_point_and_line(X3,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| distinct_points(X3,intersection_point(sK0,sK2)) ),
inference(resolution,[],[f58,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X0,X2] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( distinct_points(X2,X1)
=> ( apart_point_and_line(X0,line_connecting(X2,X1))
=> ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f58,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( convergent_lines(sK0,sK2)
& 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,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f42,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2] :
( convergent_lines(X0,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,X1) )
=> ( convergent_lines(sK0,sK2)
& 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,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2] :
( convergent_lines(X0,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,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
? [X2,X0,X1] :
( convergent_lines(X2,X1)
& distinct_points(intersection_point(X2,X0),intersection_point(X2,X1))
& distinct_lines(line_connecting(intersection_point(X2,X0),intersection_point(X2,X1)),X2)
& convergent_lines(X2,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X2,X0),intersection_point(X2,X1)),X2)
& convergent_lines(X2,X1)
& distinct_points(intersection_point(X2,X0),intersection_point(X2,X1))
& convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2] :
( ( convergent_lines(X2,X1)
& distinct_points(intersection_point(X2,X0),intersection_point(X2,X1))
& convergent_lines(X2,X0) )
=> ~ distinct_lines(line_connecting(intersection_point(X2,X0),intersection_point(X2,X1)),X2) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X2,X0] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(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,
! [X1,X2,X0] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(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(f155,plain,
( apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl3_1
<=> apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f224,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f216,f55]) ).
fof(f216,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1))
| ~ spl3_3 ),
inference(resolution,[],[f165,f76]) ).
fof(f76,plain,
! [X0] :
( ~ apart_point_and_line(X0,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| distinct_points(X0,intersection_point(sK0,sK1)) ),
inference(resolution,[],[f58,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( distinct_points(X0,X2)
| ~ distinct_points(X2,X1)
| ~ apart_point_and_line(X0,line_connecting(X2,X1)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f165,plain,
( apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl3_3
<=> apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f166,plain,
( spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f161,f163,f153]) ).
fof(f161,plain,
( apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
inference(subsumption_resolution,[],[f160,f90]) ).
fof(f90,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(resolution,[],[f69,f55]) ).
fof(f69,plain,
! [X1] :
( distinct_points(X1,intersection_point(sK0,sK1))
| ~ apart_point_and_line(X1,sK0) ),
inference(resolution,[],[f56,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
| ~ convergent_lines(X0,X2)
| distinct_points(X1,intersection_point(X0,X2)) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X2,X1,X0] :
( 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,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( convergent_lines(X0,X2)
=> ( ( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) )
=> 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,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f56,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f160,plain,
( apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
inference(subsumption_resolution,[],[f149,f112]) ).
fof(f112,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK0),
inference(resolution,[],[f73,f55]) ).
fof(f73,plain,
! [X1] :
( distinct_points(X1,intersection_point(sK0,sK2))
| ~ apart_point_and_line(X1,sK0) ),
inference(resolution,[],[f59,f51]) ).
fof(f59,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f149,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
inference(resolution,[],[f83,f58]) ).
fof(f83,plain,
! [X2,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X1,sK0)
| apart_point_and_line(X1,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| apart_point_and_line(X2,sK0)
| apart_point_and_line(X2,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
inference(resolution,[],[f57,f61]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X2) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X2,X0,X1,X3] :
( apart_point_and_line(X2,X1)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3)
| ~ distinct_lines(X3,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X3,X2] :
( apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X2,X0)
| ~ distinct_lines(X3,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X3,X2] :
( ( distinct_points(X2,X0)
& distinct_lines(X3,X1) )
=> ( apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X4,X0,X3] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f57,plain,
distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO203+2 : 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 : n028.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 21:50:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 % (22232)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.47 % (22248)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.47 % (22232)Refutation not found, incomplete strategy% (22232)------------------------------
% 0.20/0.47 % (22232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (22234)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)
% 0.20/0.48 % (22238)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)
% 0.20/0.48 % (22256)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.48 % (22232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (22232)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (22232)Memory used [KB]: 5884
% 0.20/0.48 % (22232)Time elapsed: 0.093 s
% 0.20/0.48 % (22232)Instructions burned: 1 (million)
% 0.20/0.48 % (22232)------------------------------
% 0.20/0.48 % (22232)------------------------------
% 0.20/0.49 % (22230)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.49 % (22248)Instruction limit reached!
% 0.20/0.49 % (22248)------------------------------
% 0.20/0.49 % (22248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (22248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (22248)Termination reason: Unknown
% 0.20/0.49 % (22248)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (22248)Memory used [KB]: 5884
% 0.20/0.49 % (22248)Time elapsed: 0.103 s
% 0.20/0.49 % (22248)Instructions burned: 3 (million)
% 0.20/0.49 % (22248)------------------------------
% 0.20/0.49 % (22248)------------------------------
% 0.20/0.49 % (22240)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 % (22240)First to succeed.
% 0.20/0.50 % (22240)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (22240)------------------------------
% 0.20/0.50 % (22240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (22240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (22240)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (22240)Memory used [KB]: 6012
% 0.20/0.50 % (22240)Time elapsed: 0.107 s
% 0.20/0.50 % (22240)Instructions burned: 6 (million)
% 0.20/0.50 % (22240)------------------------------
% 0.20/0.50 % (22240)------------------------------
% 0.20/0.50 % (22229)Success in time 0.148 s
%------------------------------------------------------------------------------