TSTP Solution File: GEO206+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 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 : n029.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 16:09:13 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 31 ~; 20 |; 14 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 72 ( 63 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(subsumption_resolution,[],[f153,f83]) ).
fof(f83,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f153,plain,
convergent_lines(parallel_through_point(sK0,sK1),sK0),
inference(resolution,[],[f119,f95]) ).
fof(f95,plain,
distinct_lines(sK2,parallel_through_point(sK0,sK1)),
inference(resolution,[],[f86,f92]) ).
fof(f92,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| equal_lines(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| equal_lines(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ~ distinct_lines(X1,X0)
=> equal_lines(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f39]) ).
fof(f39,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(f86,plain,
~ equal_lines(sK2,parallel_through_point(sK0,sK1)),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( incident_point_and_line(sK1,sK2)
& parallel_lines(sK2,sK0)
& ~ equal_lines(sK2,parallel_through_point(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f60,f73]) ).
fof(f73,plain,
( ? [X0,X1,X2] :
( incident_point_and_line(X1,X2)
& parallel_lines(X2,X0)
& ~ equal_lines(X2,parallel_through_point(X0,X1)) )
=> ( incident_point_and_line(sK1,sK2)
& parallel_lines(sK2,sK0)
& ~ equal_lines(sK2,parallel_through_point(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0,X1,X2] :
( incident_point_and_line(X1,X2)
& parallel_lines(X2,X0)
& ~ equal_lines(X2,parallel_through_point(X0,X1)) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X2,X1,X0] :
( ~ equal_lines(X2,parallel_through_point(X0,X1))
& incident_point_and_line(X1,X2)
& parallel_lines(X2,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X2,X1,X0] :
( ( incident_point_and_line(X1,X2)
& parallel_lines(X2,X0) )
=> equal_lines(X2,parallel_through_point(X0,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X2,X0,X1] :
( ( incident_point_and_line(X0,X1)
& parallel_lines(X1,X2) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X2,X0,X1] :
( ( incident_point_and_line(X0,X1)
& parallel_lines(X1,X2) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f119,plain,
! [X0] :
( ~ distinct_lines(sK2,X0)
| convergent_lines(X0,sK0) ),
inference(resolution,[],[f98,f81]) ).
fof(f81,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f98,plain,
! [X1] :
( ~ convergent_lines(sK2,X1)
| convergent_lines(X1,sK0) ),
inference(resolution,[],[f93,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0,X2,X1] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0)
| convergent_lines(X1,X2) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f93,plain,
~ convergent_lines(sK2,sK0),
inference(resolution,[],[f87,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ parallel_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( ~ convergent_lines(X1,X0)
| ~ parallel_lines(X1,X0) )
& ( parallel_lines(X1,X0)
| convergent_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
<=> parallel_lines(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
<=> parallel_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f87,plain,
parallel_lines(sK2,sK0),
inference(cnf_transformation,[],[f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 0.11/0.13 % 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 : n029.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 21:37:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (26513)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)
% 0.20/0.52 % (26506)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 % (26511)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)
% 0.20/0.52 % (26511)First to succeed.
% 0.20/0.52 % (26522)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (26523)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)
% 0.20/0.53 % (26505)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)
% 0.20/0.53 % (26522)Refutation not found, incomplete strategy% (26522)------------------------------
% 0.20/0.53 % (26522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26522)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (26522)Memory used [KB]: 5884
% 0.20/0.53 % (26522)Time elapsed: 0.004 s
% 0.20/0.53 % (26522)Instructions burned: 1 (million)
% 0.20/0.53 % (26522)------------------------------
% 0.20/0.53 % (26522)------------------------------
% 0.20/0.53 % (26524)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (26503)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)
% 0.20/0.54 % (26503)Instruction limit reached!
% 0.20/0.54 % (26503)------------------------------
% 0.20/0.54 % (26503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26503)Termination reason: Unknown
% 0.20/0.54 % (26503)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (26503)Memory used [KB]: 1535
% 0.20/0.54 % (26503)Time elapsed: 0.002 s
% 0.20/0.54 % (26503)Instructions burned: 3 (million)
% 0.20/0.54 % (26503)------------------------------
% 0.20/0.54 % (26503)------------------------------
% 0.20/0.54 % (26507)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)
% 0.20/0.54 % (26511)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (26511)------------------------------
% 0.20/0.54 % (26511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26511)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (26511)Memory used [KB]: 6012
% 0.20/0.54 % (26511)Time elapsed: 0.110 s
% 0.20/0.54 % (26511)Instructions burned: 3 (million)
% 0.20/0.54 % (26511)------------------------------
% 0.20/0.54 % (26511)------------------------------
% 0.20/0.54 % (26500)Success in time 0.177 s
%------------------------------------------------------------------------------