TSTP Solution File: GEO223+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO223+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 : n026.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 16:09:21 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 67 ( 37 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 146 ( 52 ~; 72 |; 12 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 137 ( 131 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f270,plain,
$false,
inference(subsumption_resolution,[],[f269,f253]) ).
fof(f253,plain,
convergent_lines(sK0,orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f78,f110,f227,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2)
| unorthogonal_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2)
| ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
| ( convergent_lines(X2,X1)
& unorthogonal_lines(X2,X1) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X2,X1,X0] :
( ~ unorthogonal_lines(X2,X0)
| ~ convergent_lines(X2,X0)
| ( convergent_lines(X2,X1)
& unorthogonal_lines(X2,X1) )
| ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) ) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
| ( convergent_lines(X2,X1)
& unorthogonal_lines(X2,X1) )
| ~ convergent_lines(X2,X0)
| ~ unorthogonal_lines(X2,X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X2,X1] :
( ( convergent_lines(X2,X0)
& unorthogonal_lines(X2,X0) )
=> ( ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
| ( convergent_lines(X2,X1)
& unorthogonal_lines(X2,X1) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X6,X7,X5] :
( ( unorthogonal_lines(X5,X6)
& convergent_lines(X5,X6) )
=> ( ( convergent_lines(X6,X7)
& unorthogonal_lines(X6,X7) )
| ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oac1) ).
fof(f227,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),sK0),
inference(unit_resulting_resolution,[],[f78,f73,f73,f134,f71]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X0)
| apart_point_and_line(X2,X0)
| unorthogonal_lines(X0,X1)
| apart_point_and_line(X2,X3)
| unorthogonal_lines(X3,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X0)
| ~ distinct_lines(X3,X0)
| unorthogonal_lines(X3,X1)
| apart_point_and_line(X2,X3)
| unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X1)
| unorthogonal_lines(X2,X3) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X3,X1,X2,X0] :
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X3,X1,X2,X0] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( apart_point_and_line(X8,X6)
| unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ouo1) ).
fof(f134,plain,
distinct_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f92,f104,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X2,X1,X0] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X2,X1,X0] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f104,plain,
~ distinct_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f82,f73,f95,f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X2) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X2,X1] :
( convergent_lines(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( distinct_lines(X0,X2)
=> ( convergent_lines(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cup1) ).
fof(f95,plain,
~ convergent_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f78,f75,f91,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1)
| unorthogonal_lines(X2,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f91,plain,
unorthogonal_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f82,f78,f73,f76,f71]) ).
fof(f76,plain,
distinct_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
distinct_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f58,f59]) ).
fof(f59,plain,
( ? [X0,X1] : distinct_lines(parallel_through_point(X0,X1),orthogonal_through_point(orthogonal_through_point(X0,X1),X1))
=> distinct_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0,X1] : distinct_lines(parallel_through_point(X0,X1),orthogonal_through_point(orthogonal_through_point(X0,X1),X1)),
inference(rectify,[],[f36]) ).
fof(f36,plain,
? [X1,X0] : distinct_lines(parallel_through_point(X1,X0),orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X1,X0] : ~ distinct_lines(parallel_through_point(X1,X0),orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X8,X5] : ~ distinct_lines(parallel_through_point(X5,X8),orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X8,X5] : ~ distinct_lines(parallel_through_point(X5,X8),orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f75,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f82,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f92,plain,
distinct_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),parallel_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f69,f76,f74]) ).
fof(f69,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f73,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X8,X5] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ooc2) ).
fof(f110,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),sK0),
inference(unit_resulting_resolution,[],[f75,f94,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0)
| convergent_lines(X0,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X0)
=> ( convergent_lines(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f94,plain,
convergent_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(unit_resulting_resolution,[],[f82,f73,f76,f89]) ).
fof(f78,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ooc1) ).
fof(f269,plain,
~ convergent_lines(sK0,orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f72,f78,f250,f86]) ).
fof(f250,plain,
unorthogonal_lines(sK0,orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f78,f110,f227,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X2)
| unorthogonal_lines(X2,X1)
| unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f72,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO223+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
% 0.13/0.34 % Computer : n026.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 21:45:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (1096)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50 % (1096)First to succeed.
% 0.19/0.51 % (1117)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.51 % (1087)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)
% 0.19/0.51 % (1089)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)
% 0.19/0.51 % (1087)Refutation not found, incomplete strategy% (1087)------------------------------
% 0.19/0.51 % (1087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (1087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (1087)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (1087)Memory used [KB]: 5884
% 0.19/0.51 % (1087)Time elapsed: 0.117 s
% 0.19/0.51 % (1087)Instructions burned: 2 (million)
% 0.19/0.51 % (1087)------------------------------
% 0.19/0.51 % (1087)------------------------------
% 0.19/0.51 % (1095)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)
% 0.19/0.51 % (1090)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)
% 0.19/0.52 % (1096)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (1096)------------------------------
% 0.19/0.52 % (1096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1096)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (1096)Memory used [KB]: 6012
% 0.19/0.52 % (1096)Time elapsed: 0.101 s
% 0.19/0.52 % (1096)Instructions burned: 11 (million)
% 0.19/0.52 % (1096)------------------------------
% 0.19/0.52 % (1096)------------------------------
% 0.19/0.52 % (1084)Success in time 0.165 s
%------------------------------------------------------------------------------