TSTP Solution File: GEO170+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO170+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 : 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 16:08:54 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 91 ( 35 ~; 29 |; 18 &)
% ( 0 <=>; 9 =>; 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 : 55 ( 49 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,plain,
$false,
inference(unit_resulting_resolution,[],[f49,f50,f52,f51,f64,f68,f44]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X0)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X3,X2] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X1,X3) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X2,X1,X3] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X1,X3)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X2,X1,X3] :
( ( distinct_points(X1,X3)
& distinct_lines(X2,X0) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X0,X3,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f68,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f54,f52,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X0,line_connecting(X1,X2)) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X2,X1,X0] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X1,X0] :
( 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(f54,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(f64,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f54,f52,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f51,plain,
distinct_lines(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
? [X1,X2,X0] :
( distinct_points(X0,X2)
& distinct_lines(X1,line_connecting(X0,X2))
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X2,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0,X2,X1] :
( distinct_lines(X1,line_connecting(X0,X2))
& distinct_points(X0,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X2,X1] :
( ( distinct_points(X0,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X2,X1) )
=> ~ distinct_lines(X1,line_connecting(X0,X2)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X2,X1] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X2,X1] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f52,plain,
distinct_points(sK2,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f50,plain,
~ apart_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f49,plain,
~ apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO170+2 : 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 : n027.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 21:38:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (22828)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)
% 0.19/0.48 % (22828)First to succeed.
% 0.19/0.49 % (22828)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (22828)------------------------------
% 0.19/0.49 % (22828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (22828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (22828)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (22828)Memory used [KB]: 5884
% 0.19/0.49 % (22828)Time elapsed: 0.077 s
% 0.19/0.49 % (22828)Instructions burned: 2 (million)
% 0.19/0.49 % (22828)------------------------------
% 0.19/0.49 % (22828)------------------------------
% 0.19/0.49 % (22819)Success in time 0.136 s
%------------------------------------------------------------------------------