TSTP Solution File: GEO190+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO190+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 : n020.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 16:09:04 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 12 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 128 ( 43 ~; 49 |; 23 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 76 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f274,plain,
$false,
inference(avatar_sat_refutation,[],[f100,f273]) ).
fof(f273,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f234,f65]) ).
fof(f65,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f46,f52,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| distinct_points(X0,X2)
| ~ distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X2,X1] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X2,X1] :
( distinct_points(X1,X2)
=> ( apart_point_and_line(X0,line_connecting(X1,X2))
=> ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f52,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
? [X1,X0,X2] :
( distinct_points(X1,X2)
& distinct_points(X1,X0)
& distinct_points(X0,X2)
& apart_point_and_line(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X1,X0,X2] :
( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X1,X0)
& distinct_points(X0,X2)
& ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X1,X0,X2] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X0)
& distinct_points(X0,X2)
& ~ apart_point_and_line(X2,line_connecting(X1,X0)) )
=> ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X0,X2] :
( ( distinct_points(X0,X1)
& distinct_points(X1,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X2) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X0,X2] :
( ( distinct_points(X0,X1)
& distinct_points(X1,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X2) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f46,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(f234,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f52,f68,f83,f102,f106,f43]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X3,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X3,X2,X0,X1] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X2,X1)
| ~ distinct_lines(X0,X3) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X3,X2,X0,X1] :
( ( distinct_points(X2,X1)
& distinct_lines(X0,X3) )
=> ( apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X1,X0,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f106,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f46,f93,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| distinct_points(X0,X1)
| ~ distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f93,plain,
( distinct_points(sK1,sK0)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl3_1
<=> distinct_points(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f102,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f46,f93,f45]) ).
fof(f83,plain,
distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f49,f50,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f50,plain,
apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f36]) ).
fof(f49,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f68,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f46,f52,f44]) ).
fof(f100,plain,
spl3_1,
inference(avatar_split_clause,[],[f66,f92]) ).
fof(f66,plain,
distinct_points(sK1,sK0),
inference(unit_resulting_resolution,[],[f46,f52,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,X0)
| distinct_points(X0,X1)
| distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X2,X1] :
( distinct_points(X0,X1)
| ~ distinct_points(X2,X0)
| distinct_points(X2,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X0,X2] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0,X2] :
( 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(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % 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 : n020.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 21:28:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (3658)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)
% 0.20/0.51 % (3634)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (3642)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)
% 0.20/0.52 % (3642)First to succeed.
% 0.20/0.53 % (3638)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 % (3647)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (3637)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)
% 0.20/0.53 % (3657)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 % (3661)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)
% 0.20/0.53 % (3662)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)
% 0.20/0.53 % (3649)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)
% 0.20/0.54 % (3642)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 % (3642)------------------------------
% 0.20/0.54 % (3642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (3642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (3642)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (3642)Memory used [KB]: 6012
% 0.20/0.54 % (3642)Time elapsed: 0.122 s
% 0.20/0.54 % (3642)Instructions burned: 9 (million)
% 0.20/0.54 % (3642)------------------------------
% 0.20/0.54 % (3642)------------------------------
% 0.20/0.54 % (3633)Success in time 0.182 s
%------------------------------------------------------------------------------