TSTP Solution File: GEO173+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO173+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 : n023.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 16:08:55 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 11 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 140 ( 42 ~; 49 |; 37 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 93 ( 77 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f117,plain,
$false,
inference(subsumption_resolution,[],[f114,f82]) ).
fof(f82,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f66,f64,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
| distinct_points(X2,X0)
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X2,X1] :
( ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1] :
( ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X1] :
( distinct_points(X2,X0)
=> ( apart_point_and_line(X1,line_connecting(X2,X0))
=> ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X2,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f64,plain,
distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ~ apart_point_and_line(sK0,sK1)
& distinct_points(sK0,sK2)
& convergent_lines(sK1,sK3)
& distinct_lines(sK1,line_connecting(sK0,sK2))
& ~ apart_point_and_line(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f47,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X1)
& distinct_points(X0,X2)
& convergent_lines(X1,X3)
& distinct_lines(X1,line_connecting(X0,X2))
& ~ apart_point_and_line(X2,X1) )
=> ( ~ apart_point_and_line(sK0,sK1)
& distinct_points(sK0,sK2)
& convergent_lines(sK1,sK3)
& distinct_lines(sK1,line_connecting(sK0,sK2))
& ~ apart_point_and_line(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X1)
& distinct_points(X0,X2)
& convergent_lines(X1,X3)
& distinct_lines(X1,line_connecting(X0,X2))
& ~ apart_point_and_line(X2,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X0,X2,X3,X1] :
( ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X3)
& convergent_lines(X2,X1)
& distinct_lines(X2,line_connecting(X0,X3))
& ~ apart_point_and_line(X3,X2) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X1,X0,X3,X2] :
( ~ apart_point_and_line(X3,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X3)
& convergent_lines(X2,X1)
& distinct_lines(X2,line_connecting(X0,X3)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X1,X0,X3,X2] :
( ( distinct_points(X0,X3)
& convergent_lines(X2,X1)
& distinct_lines(X2,line_connecting(X0,X3)) )
=> ( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X4,X3,X1] :
( ( convergent_lines(X3,X4)
& distinct_points(X0,X1)
& distinct_lines(X3,line_connecting(X0,X1)) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X4,X3,X1] :
( ( convergent_lines(X3,X4)
& distinct_points(X0,X1)
& distinct_lines(X3,line_connecting(X0,X1)) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f66,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f114,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f80,f61,f65,f62,f81,f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| ~ distinct_points(X1,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X3,X0,X2] :
( apart_point_and_line(X3,X2)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X3,X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X3,X0,X2,X1] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X3,X0)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X3,X0,X2,X1] :
( ( distinct_points(X3,X0)
& distinct_lines(X1,X2) )
=> ( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X3,X4,X0] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f81,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f66,f64,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0)
| distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f62,plain,
distinct_lines(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f49]) ).
fof(f65,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f49]) ).
fof(f61,plain,
~ apart_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f49]) ).
fof(f80,plain,
distinct_points(sK2,sK0),
inference(unit_resulting_resolution,[],[f66,f64,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X2)
| distinct_points(X1,X0)
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ distinct_points(X1,X2)
| distinct_points(X2,X0)
| distinct_points(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X0,X2,X1] :
( ~ distinct_points(X2,X1)
| distinct_points(X1,X0)
| distinct_points(X2,X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( distinct_points(X2,X1)
=> ( distinct_points(X2,X0)
| distinct_points(X1,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO173+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
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:44:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 % (26115)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)
% 0.18/0.46 % (26115)First to succeed.
% 0.18/0.49 % (26115)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (26115)------------------------------
% 0.18/0.49 % (26115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (26115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (26115)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (26115)Memory used [KB]: 6012
% 0.18/0.49 % (26115)Time elapsed: 0.084 s
% 0.18/0.49 % (26115)Instructions burned: 4 (million)
% 0.18/0.49 % (26115)------------------------------
% 0.18/0.49 % (26115)------------------------------
% 0.18/0.49 % (26107)Success in time 0.141 s
%------------------------------------------------------------------------------