TSTP Solution File: GEO170+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO170+1 : 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 : n025.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 1.30s 0.52s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 108 ( 45 ~; 30 |; 23 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 49 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(unit_resulting_resolution,[],[f60,f61,f62,f66,f67,f63,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X0,X3)
| ~ distinct_points(X1,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X0,X3] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X3)
| ~ distinct_points(X2,X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2,X3] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X1,X3)
| ~ distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0,X2,X3] :
( ( distinct_lines(X1,X3)
& distinct_points(X2,X0) )
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X3,X0,X4] :
( ( 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,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f63,plain,
distinct_lines(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( distinct_lines(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK2,sK0)
& distinct_points(sK2,sK1)
& ~ apart_point_and_line(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2] :
( distinct_lines(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,X0)
& distinct_points(X2,X1)
& ~ apart_point_and_line(X1,X0) )
=> ( distinct_lines(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK2,sK0)
& distinct_points(sK2,sK1)
& ~ apart_point_and_line(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1,X2] :
( distinct_lines(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,X0)
& distinct_points(X2,X1)
& ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0,X1,X2] :
( distinct_lines(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X1,X0)
& distinct_points(X2,X1)
& ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X0)
& distinct_points(X2,X1)
& ~ apart_point_and_line(X2,X0) )
=> ~ distinct_lines(X0,line_connecting(X2,X1)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( ( ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( ( ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f67,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f61,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,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(f66,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f61,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f62,plain,
~ apart_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f48]) ).
fof(f61,plain,
distinct_points(sK2,sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f60,plain,
~ apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO170+1 : 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 : n025.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 21:32:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (32391)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (32398)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 % (32393)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)
% 0.20/0.51 % (32392)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (32410)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)
% 0.20/0.51 % (32405)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 % (32417)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 % (32400)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 % (32406)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 % (32407)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)
% 0.20/0.52 % (32407)First to succeed.
% 1.30/0.52 % (32406)Also succeeded, but the first one will report.
% 1.30/0.52 % (32395)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)
% 1.30/0.52 % (32407)Refutation found. Thanks to Tanya!
% 1.30/0.52 % SZS status Theorem for theBenchmark
% 1.30/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.52 % (32407)------------------------------
% 1.30/0.52 % (32407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52 % (32407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52 % (32407)Termination reason: Refutation
% 1.30/0.52
% 1.30/0.52 % (32407)Memory used [KB]: 5884
% 1.30/0.52 % (32407)Time elapsed: 0.117 s
% 1.30/0.52 % (32407)Instructions burned: 3 (million)
% 1.30/0.52 % (32407)------------------------------
% 1.30/0.52 % (32407)------------------------------
% 1.30/0.52 % (32385)Success in time 0.167 s
%------------------------------------------------------------------------------