TSTP Solution File: GEO183+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO183+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 : n021.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 16:09:00 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 102 ( 42 ~; 24 |; 27 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 65 ( 49 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,plain,
$false,
inference(subsumption_resolution,[],[f92,f90]) ).
fof(f90,plain,
~ apart_point_and_line(sK0,sK2),
inference(resolution,[],[f77,f73]) ).
fof(f73,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK3)),
inference(resolution,[],[f66,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f66,plain,
distinct_points(sK0,sK3),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( convergent_lines(sK2,sK1)
& ( apart_point_and_line(sK3,sK2)
| apart_point_and_line(sK0,sK2) )
& distinct_points(sK0,sK3)
& ~ distinct_lines(sK2,line_connecting(sK0,sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f52,f53]) ).
fof(f53,plain,
( ? [X0,X1,X2,X3] :
( convergent_lines(X2,X1)
& ( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2) )
& distinct_points(X0,X3)
& ~ distinct_lines(X2,line_connecting(X0,X3)) )
=> ( convergent_lines(sK2,sK1)
& ( apart_point_and_line(sK3,sK2)
| apart_point_and_line(sK0,sK2) )
& distinct_points(sK0,sK3)
& ~ distinct_lines(sK2,line_connecting(sK0,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( convergent_lines(X2,X1)
& ( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2) )
& distinct_points(X0,X3)
& ~ distinct_lines(X2,line_connecting(X0,X3)) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X1,X0,X3,X2] :
( convergent_lines(X3,X0)
& ( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3) )
& distinct_points(X1,X2)
& ~ distinct_lines(X3,line_connecting(X1,X2)) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X3,X0,X1,X2] :
( ( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3) )
& convergent_lines(X3,X0)
& distinct_points(X1,X2)
& ~ distinct_lines(X3,line_connecting(X1,X2)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X3,X0,X1,X2] :
( ( convergent_lines(X3,X0)
& distinct_points(X1,X2)
& ~ distinct_lines(X3,line_connecting(X1,X2)) )
=> ( ~ apart_point_and_line(X2,X3)
& ~ apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X4,X0,X1,X3] :
( ( distinct_points(X0,X1)
& ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X1,X3) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X4,X0,X1,X3] :
( ( distinct_points(X0,X1)
& ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f77,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK3))
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f65,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X0)
=> ( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X2,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f65,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK3)),
inference(cnf_transformation,[],[f54]) ).
fof(f92,plain,
apart_point_and_line(sK0,sK2),
inference(resolution,[],[f91,f67]) ).
fof(f67,plain,
( apart_point_and_line(sK3,sK2)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f91,plain,
~ apart_point_and_line(sK3,sK2),
inference(resolution,[],[f77,f74]) ).
fof(f74,plain,
~ apart_point_and_line(sK3,line_connecting(sK0,sK3)),
inference(resolution,[],[f66,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( 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/sandbox/benchmark/theBenchmark.p',ci2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO183+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 : n021.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 21:21:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (5154)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)
% 0.19/0.47 % (5176)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.47 % (5154)First to succeed.
% 0.19/0.48 % (5168)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.48 % (5154)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (5154)------------------------------
% 0.19/0.48 % (5154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (5154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (5154)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (5154)Memory used [KB]: 1407
% 0.19/0.48 % (5154)Time elapsed: 0.095 s
% 0.19/0.48 % (5154)Instructions burned: 2 (million)
% 0.19/0.48 % (5154)------------------------------
% 0.19/0.48 % (5154)------------------------------
% 0.19/0.48 % (5148)Success in time 0.132 s
%------------------------------------------------------------------------------