TSTP Solution File: GEO263+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n018.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 16:09:35 EDT 2022
% Result : Theorem 1.51s 0.57s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 96 ( 28 ~; 19 |; 40 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 78 ( 54 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f211,plain,
$false,
inference(subsumption_resolution,[],[f210,f204]) ).
fof(f204,plain,
unequally_directed_lines(sK0,sK4),
inference(resolution,[],[f172,f164]) ).
fof(f164,plain,
convergent_lines(sK0,sK4),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( convergent_lines(sK0,sK4)
& ~ between_on_line(sK0,intersection_point(sK0,parallel_through_point(sK4,sK3)),intersection_point(sK0,parallel_through_point(sK4,sK1)),intersection_point(sK0,parallel_through_point(sK4,sK2)))
& convergent_lines(sK5,sK0)
& convergent_lines(sK5,sK4)
& between_on_line(sK5,sK3,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f115,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( convergent_lines(X0,X4)
& ~ between_on_line(X0,intersection_point(X0,parallel_through_point(X4,X3)),intersection_point(X0,parallel_through_point(X4,X1)),intersection_point(X0,parallel_through_point(X4,X2)))
& convergent_lines(X5,X0)
& convergent_lines(X5,X4)
& between_on_line(X5,X3,X1,X2) )
=> ( convergent_lines(sK0,sK4)
& ~ between_on_line(sK0,intersection_point(sK0,parallel_through_point(sK4,sK3)),intersection_point(sK0,parallel_through_point(sK4,sK1)),intersection_point(sK0,parallel_through_point(sK4,sK2)))
& convergent_lines(sK5,sK0)
& convergent_lines(sK5,sK4)
& between_on_line(sK5,sK3,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1,X2,X3,X4,X5] :
( convergent_lines(X0,X4)
& ~ between_on_line(X0,intersection_point(X0,parallel_through_point(X4,X3)),intersection_point(X0,parallel_through_point(X4,X1)),intersection_point(X0,parallel_through_point(X4,X2)))
& convergent_lines(X5,X0)
& convergent_lines(X5,X4)
& between_on_line(X5,X3,X1,X2) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
? [X0,X5,X4,X1,X3,X2] :
( convergent_lines(X0,X3)
& ~ between_on_line(X0,intersection_point(X0,parallel_through_point(X3,X1)),intersection_point(X0,parallel_through_point(X3,X5)),intersection_point(X0,parallel_through_point(X3,X4)))
& convergent_lines(X2,X0)
& convergent_lines(X2,X3)
& between_on_line(X2,X1,X5,X4) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
? [X4,X2,X0,X5,X3,X1] :
( ~ between_on_line(X0,intersection_point(X0,parallel_through_point(X3,X1)),intersection_point(X0,parallel_through_point(X3,X5)),intersection_point(X0,parallel_through_point(X3,X4)))
& convergent_lines(X0,X3)
& between_on_line(X2,X1,X5,X4)
& convergent_lines(X2,X0)
& convergent_lines(X2,X3) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
~ ! [X4,X2,X0,X5,X3,X1] :
( ( convergent_lines(X0,X3)
& between_on_line(X2,X1,X5,X4)
& convergent_lines(X2,X0)
& convergent_lines(X2,X3) )
=> between_on_line(X0,intersection_point(X0,parallel_through_point(X3,X1)),intersection_point(X0,parallel_through_point(X3,X5)),intersection_point(X0,parallel_through_point(X3,X4))) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X2,X0,X1,X5,X4,X3] :
( ( between_on_line(X1,X0,X3,X4)
& convergent_lines(X2,X5)
& convergent_lines(X1,X2)
& convergent_lines(X1,X5) )
=> between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),intersection_point(X2,parallel_through_point(X5,X3)),intersection_point(X2,parallel_through_point(X5,X4))) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X2,X0,X1,X5,X4,X3] :
( ( between_on_line(X1,X0,X3,X4)
& convergent_lines(X2,X5)
& convergent_lines(X1,X2)
& convergent_lines(X1,X5) )
=> between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),intersection_point(X2,parallel_through_point(X5,X3)),intersection_point(X2,parallel_through_point(X5,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f172,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
<=> ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con_def) ).
fof(f210,plain,
~ unequally_directed_lines(sK0,sK4),
inference(resolution,[],[f201,f207]) ).
fof(f207,plain,
unequally_directed_lines(sK0,reverse_line(sK4)),
inference(resolution,[],[f173,f164]) ).
fof(f173,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f201,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(subsumption_resolution,[],[f200,f146]) ).
fof(f146,plain,
! [X0,X1] : ~ left_convergent_lines(X1,reverse_line(X0)),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ left_convergent_lines(X1,X0)
& ~ left_convergent_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
~ ( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X2,X1] :
~ ( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).
fof(f200,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ),
inference(subsumption_resolution,[],[f134,f147]) ).
fof(f147,plain,
! [X0,X1] : ~ left_convergent_lines(X1,X0),
inference(cnf_transformation,[],[f90]) ).
fof(f134,plain,
! [X0,X1] :
( left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
=> ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.04/0.13 % 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 : n018.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 21:36:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (16143)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)
% 0.20/0.55 % (16142)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (16159)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (16158)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.51/0.56 % (16151)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.56 % (16150)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.56 % (16150)First to succeed.
% 1.51/0.56 % (16157)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.51/0.57 % (16150)Refutation found. Thanks to Tanya!
% 1.51/0.57 % SZS status Theorem for theBenchmark
% 1.51/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.57 % (16150)------------------------------
% 1.51/0.57 % (16150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57 % (16150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57 % (16150)Termination reason: Refutation
% 1.51/0.57
% 1.51/0.57 % (16150)Memory used [KB]: 6012
% 1.51/0.57 % (16150)Time elapsed: 0.135 s
% 1.51/0.57 % (16150)Instructions burned: 4 (million)
% 1.51/0.57 % (16150)------------------------------
% 1.51/0.57 % (16150)------------------------------
% 1.51/0.57 % (16134)Success in time 0.209 s
%------------------------------------------------------------------------------