TSTP Solution File: GEO233+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n011.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 16:12:24 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 32 ~; 26 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 51 ( 49 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(resolution,[],[f174,f166]) ).
fof(f166,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(resolution,[],[f135,f134]) ).
fof(f134,plain,
~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f92,f113]) ).
fof(f113,plain,
( ? [X0] : ~ equally_directed_lines(reverse_line(reverse_line(X0)),X0)
=> ~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
? [X0] : ~ equally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X0] : equally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3] : equally_directed_lines(reverse_line(reverse_line(X3)),X3),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3] : equally_directed_lines(reverse_line(reverse_line(X3)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f135,plain,
! [X0,X1] :
( equally_directed_lines(X1,X0)
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( ~ unequally_directed_lines(X1,X0)
| ~ equally_directed_lines(X1,X0) )
& ( equally_directed_lines(X1,X0)
| unequally_directed_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
<=> equally_directed_lines(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_defns) ).
fof(f174,plain,
! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(resolution,[],[f165,f172]) ).
fof(f172,plain,
! [X0] : unequally_directed_lines(reverse_line(X0),X0),
inference(resolution,[],[f155,f167]) ).
fof(f167,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(resolution,[],[f136,f150]) ).
fof(f150,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : equally_directed_lines(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5_basics) ).
fof(f136,plain,
! [X0,X1] :
( ~ equally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f155,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X3] :
( unequally_directed_lines(X3,reverse_line(X4))
| unequally_directed_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).
fof(f165,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(subsumption_resolution,[],[f164,f158]) ).
fof(f158,plain,
! [X0,X1] : ~ left_convergent_lines(X1,X0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ left_convergent_lines(X1,reverse_line(X0))
& ~ left_convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
~ ( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X3] :
~ ( left_convergent_lines(X3,X4)
| left_convergent_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11_basics) ).
fof(f164,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(subsumption_resolution,[],[f138,f158]) ).
fof(f138,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3,X4] :
( ( unequally_directed_lines(X3,X4)
& unequally_directed_lines(X3,reverse_line(X4)) )
=> ( left_convergent_lines(X3,X4)
| left_convergent_lines(X3,reverse_line(X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:29:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (22670)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)
% 0.19/0.48 % (22662)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)
% 0.19/0.49 % (22654)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)
% 0.19/0.49 % (22669)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49 % (22669)First to succeed.
% 0.19/0.49 % (22669)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 % (22669)------------------------------
% 0.19/0.49 % (22669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (22669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (22669)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (22669)Memory used [KB]: 5500
% 0.19/0.49 % (22669)Time elapsed: 0.099 s
% 0.19/0.49 % (22669)Instructions burned: 4 (million)
% 0.19/0.49 % (22669)------------------------------
% 0.19/0.49 % (22669)------------------------------
% 0.19/0.49 % (22647)Success in time 0.149 s
%------------------------------------------------------------------------------