TSTP Solution File: GEO221+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO221+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_sat --cores 0 -t %d %s
% Computer : n027.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 16:12:22 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 28 ~; 32 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 65 ( 59 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,plain,
$false,
inference(subsumption_resolution,[],[f164,f111]) ).
fof(f111,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(literal_reordering,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] : ~ apart_point_and_line(X1,orthogonal_through_point(X0,X1)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X5,X8] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc2) ).
fof(f164,plain,
apart_point_and_line(sK1,orthogonal_through_point(sK0,sK1)),
inference(resolution,[],[f158,f112]) ).
fof(f112,plain,
~ apart_point_and_line(sK1,orthogonal_through_point(sK0,sK2)),
inference(literal_reordering,[],[f100]) ).
fof(f100,plain,
~ apart_point_and_line(sK1,orthogonal_through_point(sK0,sK2)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( distinct_lines(orthogonal_through_point(sK0,sK2),orthogonal_through_point(sK0,sK1))
& ~ apart_point_and_line(sK1,orthogonal_through_point(sK0,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f76]) ).
fof(f76,plain,
( ? [X0,X1,X2] :
( distinct_lines(orthogonal_through_point(X0,X2),orthogonal_through_point(X0,X1))
& ~ apart_point_and_line(X1,orthogonal_through_point(X0,X2)) )
=> ( distinct_lines(orthogonal_through_point(sK0,sK2),orthogonal_through_point(sK0,sK1))
& ~ apart_point_and_line(sK1,orthogonal_through_point(sK0,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1,X2] :
( distinct_lines(orthogonal_through_point(X0,X2),orthogonal_through_point(X0,X1))
& ~ apart_point_and_line(X1,orthogonal_through_point(X0,X2)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X1,X2,X0] :
( ~ apart_point_and_line(X1,orthogonal_through_point(X0,X2))
=> ~ distinct_lines(orthogonal_through_point(X0,X2),orthogonal_through_point(X0,X1)) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X5,X9,X8] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X5,X9,X8] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f158,plain,
! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(sK0,sK2))
| apart_point_and_line(X0,orthogonal_through_point(sK0,sK1)) ),
inference(subsumption_resolution,[],[f154,f130]) ).
fof(f130,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(literal_reordering,[],[f94]) ).
fof(f94,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X5,X8] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc1) ).
fof(f154,plain,
! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(sK0,sK1))
| apart_point_and_line(X0,orthogonal_through_point(sK0,sK2))
| unorthogonal_lines(orthogonal_through_point(sK0,sK1),sK0) ),
inference(resolution,[],[f142,f130]) ).
fof(f142,plain,
! [X0,X1] :
( unorthogonal_lines(orthogonal_through_point(sK0,sK2),X0)
| apart_point_and_line(X1,orthogonal_through_point(sK0,sK2))
| unorthogonal_lines(orthogonal_through_point(sK0,sK1),X0)
| apart_point_and_line(X1,orthogonal_through_point(sK0,sK1)) ),
inference(resolution,[],[f125,f124]) ).
fof(f124,plain,
distinct_lines(orthogonal_through_point(sK0,sK2),orthogonal_through_point(sK0,sK1)),
inference(literal_reordering,[],[f101]) ).
fof(f101,plain,
distinct_lines(orthogonal_through_point(sK0,sK2),orthogonal_through_point(sK0,sK1)),
inference(cnf_transformation,[],[f77]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X1)
| unorthogonal_lines(X1,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| unorthogonal_lines(X2,X0) ),
inference(literal_reordering,[],[f88]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( unorthogonal_lines(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| unorthogonal_lines(X1,X0)
| ~ distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X1)
| unorthogonal_lines(X1,X0)
| ~ distinct_lines(X2,X1)
| unorthogonal_lines(X2,X0)
| apart_point_and_line(X3,X2) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X0,X3,X1,X2] :
( apart_point_and_line(X2,X3)
| unorthogonal_lines(X3,X0)
| ~ distinct_lines(X1,X3)
| unorthogonal_lines(X1,X0)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X3,X2,X0,X1] :
( unorthogonal_lines(X3,X0)
| apart_point_and_line(X2,X3)
| unorthogonal_lines(X1,X0)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X1,X3) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X3,X2,X0,X1] :
( distinct_lines(X1,X3)
=> ( unorthogonal_lines(X3,X0)
| apart_point_and_line(X2,X3)
| unorthogonal_lines(X1,X0)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X7,X5,X8,X6] :
( distinct_lines(X5,X6)
=> ( apart_point_and_line(X8,X6)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X5)
| unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO221+1 : 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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n027.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 21:46:00 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.51 % (20253)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (20269)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.54 % (20261)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 TRYING [4]
% 0.20/0.55 TRYING [5]
% 0.20/0.56 % (20261)First to succeed.
% 0.20/0.56 % (20255)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57 % (20261)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (20261)------------------------------
% 0.20/0.57 % (20261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20261)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (20261)Memory used [KB]: 5756
% 0.20/0.57 % (20261)Time elapsed: 0.010 s
% 0.20/0.57 % (20261)Instructions burned: 6 (million)
% 0.20/0.57 % (20261)------------------------------
% 0.20/0.57 % (20261)------------------------------
% 0.20/0.57 % (20246)Success in time 0.215 s
%------------------------------------------------------------------------------