TSTP Solution File: GEO204+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO204+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 : n014.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 16:09:12 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 71 ( 11 unt; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 191 ( 76 ~; 78 |; 18 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 117 ( 105 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f268,plain,
$false,
inference(avatar_sat_refutation,[],[f116,f138,f267]) ).
fof(f267,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f266,plain,
( $false
| ~ spl3_1
| spl3_2 ),
inference(subsumption_resolution,[],[f249,f190]) ).
fof(f190,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK0)),
inference(unit_resulting_resolution,[],[f152,f124,f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X2,X1,X0] :
( apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f124,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK0)),
inference(resolution,[],[f104,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(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(f104,plain,
distinct_points(sK2,sK0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( distinct_points(sK2,sK0)
& equal_points(sK0,sK1)
& ( ~ equal_lines(line_connecting(sK2,sK0),line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f84,f85]) ).
fof(f85,plain,
( ? [X0,X1,X2] :
( distinct_points(X2,X0)
& equal_points(X0,X1)
& ( ~ equal_lines(line_connecting(X2,X0),line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ) )
=> ( distinct_points(sK2,sK0)
& equal_points(sK0,sK1)
& ( ~ equal_lines(line_connecting(sK2,sK0),line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0,X1,X2] :
( distinct_points(X2,X0)
& equal_points(X0,X1)
& ( ~ equal_lines(line_connecting(X2,X0),line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
? [X1,X2,X0] :
( distinct_points(X0,X1)
& equal_points(X1,X2)
& ( ~ equal_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0,X2,X1] :
( ( ~ equal_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& equal_points(X1,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( ( equal_points(X1,X2)
& distinct_points(X0,X1) )
=> ( equal_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( ( equal_points(X1,X2)
& distinct_points(X0,X1) )
=> ( equal_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f152,plain,
~ distinct_points(sK1,sK0),
inference(unit_resulting_resolution,[],[f106,f118,f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,X1)
| distinct_points(X2,X0)
| distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( distinct_points(X2,X0)
| ~ distinct_points(X2,X1)
| distinct_points(X1,X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0,X2,X1] :
( distinct_points(X1,X0)
| ~ distinct_points(X1,X2)
| distinct_points(X2,X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( distinct_points(X1,X0)
| distinct_points(X2,X0)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
=> ( distinct_points(X1,X0)
| distinct_points(X2,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f118,plain,
~ distinct_points(sK0,sK1),
inference(resolution,[],[f103,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ equal_points(X1,X0)
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ equal_points(X1,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( equal_points(X1,X0)
=> ~ distinct_points(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( equal_points(X1,X0)
<=> ~ distinct_points(X1,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( equal_points(X0,X1)
<=> ~ distinct_points(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f103,plain,
equal_points(sK0,sK1),
inference(cnf_transformation,[],[f86]) ).
fof(f106,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(f249,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK0))
| ~ spl3_1
| spl3_2 ),
inference(unit_resulting_resolution,[],[f143,f125,f145,f139,f149,f105]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X1,X3)
| ~ distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X2,X1,X0,X3] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X0,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X3,X0,X1,X2] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X0,X2)
| ~ distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X3,X0,X1,X2] :
( ( distinct_lines(X0,X2)
& distinct_points(X1,X3) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X0,X4,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f149,plain,
( distinct_lines(line_connecting(sK2,sK0),line_connecting(sK2,sK1))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f115,f93]) ).
fof(f93,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| equal_lines(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( equal_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ~ distinct_lines(X1,X0)
=> equal_lines(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( equal_lines(X1,X0)
<=> ~ distinct_lines(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
<=> equal_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f115,plain,
( ~ equal_lines(line_connecting(sK2,sK0),line_connecting(sK2,sK1))
| spl3_2 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl3_2
<=> equal_lines(line_connecting(sK2,sK0),line_connecting(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f139,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK2,sK1))
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f110,f97]) ).
fof(f110,plain,
( distinct_points(sK2,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl3_1
<=> distinct_points(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f145,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK2,sK1))
| ~ spl3_1 ),
inference(resolution,[],[f110,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,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(f125,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK0)),
inference(resolution,[],[f104,f92]) ).
fof(f143,plain,
( distinct_points(sK1,sK2)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f106,f110,f107]) ).
fof(f138,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f133,f118]) ).
fof(f133,plain,
( distinct_points(sK0,sK1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f104,f111,f107]) ).
fof(f111,plain,
( ~ distinct_points(sK2,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f116,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f102,f113,f109]) ).
fof(f102,plain,
( ~ equal_lines(line_connecting(sK2,sK0),line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1) ),
inference(cnf_transformation,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO204+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:52:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (11154)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)
% 0.20/0.49 % (11146)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)
% 0.20/0.50 % (11156)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)
% 0.20/0.50 % (11144)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)
% 0.20/0.50 % (11146)Instruction limit reached!
% 0.20/0.50 % (11146)------------------------------
% 0.20/0.50 % (11146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (11146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (11146)Termination reason: Unknown
% 0.20/0.50 % (11146)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (11146)Memory used [KB]: 6012
% 0.20/0.50 % (11146)Time elapsed: 0.006 s
% 0.20/0.50 % (11146)Instructions burned: 3 (million)
% 0.20/0.50 % (11146)------------------------------
% 0.20/0.50 % (11146)------------------------------
% 0.20/0.50 % (11148)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)
% 0.20/0.50 % (11135)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (11138)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (11139)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)
% 0.20/0.51 % (11151)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)
% 0.20/0.51 % (11139)First to succeed.
% 0.20/0.51 % (11143)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)
% 0.20/0.51 % (11154)Also succeeded, but the first one will report.
% 0.20/0.51 % (11139)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (11139)------------------------------
% 0.20/0.51 % (11139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (11139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (11139)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (11139)Memory used [KB]: 6012
% 0.20/0.51 % (11139)Time elapsed: 0.107 s
% 0.20/0.51 % (11139)Instructions burned: 6 (million)
% 0.20/0.51 % (11139)------------------------------
% 0.20/0.51 % (11139)------------------------------
% 0.20/0.51 % (11131)Success in time 0.166 s
%------------------------------------------------------------------------------