TSTP Solution File: GEO227+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO227+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_sat --cores 0 -t %d %s
% Computer : n009.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 16:12:23 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 81 ( 35 ~; 14 |; 26 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 16 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,plain,
$false,
inference(subsumption_resolution,[],[f162,f119]) ).
fof(f119,plain,
line(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ~ unequally_directed_lines(sK1,sK0)
& ~ unequally_directed_lines(sK1,reverse_line(sK0))
& line(sK1)
& line(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f103,f104]) ).
fof(f104,plain,
( ? [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
& ~ unequally_directed_lines(X1,reverse_line(X0))
& line(X1)
& line(X0) )
=> ( ~ unequally_directed_lines(sK1,sK0)
& ~ unequally_directed_lines(sK1,reverse_line(sK0))
& line(sK1)
& line(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
? [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
& ~ unequally_directed_lines(X1,reverse_line(X0))
& line(X1)
& line(X0) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
? [X1,X0] :
( ~ unequally_directed_lines(X0,X1)
& ~ unequally_directed_lines(X0,reverse_line(X1))
& line(X0)
& line(X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
? [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
& ~ unequally_directed_lines(X0,reverse_line(X1))
& line(X0)
& line(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
~ ! [X0,X1] :
( ( line(X0)
& line(X1) )
=> ~ ( ~ unequally_directed_lines(X0,X1)
& ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X2] :
( ( line(X2)
& line(X1) )
=> ~ ( ~ unequally_directed_lines(X1,X2)
& ~ unequally_directed_lines(X1,reverse_line(X2)) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2] :
( ( line(X2)
& line(X1) )
=> ~ ( ~ unequally_directed_lines(X1,X2)
& ~ unequally_directed_lines(X1,reverse_line(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f162,plain,
~ line(sK0),
inference(subsumption_resolution,[],[f161,f122]) ).
fof(f122,plain,
~ unequally_directed_lines(sK1,sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f161,plain,
( unequally_directed_lines(sK1,sK0)
| ~ line(sK0) ),
inference(subsumption_resolution,[],[f160,f120]) ).
fof(f120,plain,
line(sK1),
inference(cnf_transformation,[],[f105]) ).
fof(f160,plain,
( ~ line(sK1)
| unequally_directed_lines(sK1,sK0)
| ~ line(sK0) ),
inference(resolution,[],[f153,f121]) ).
fof(f121,plain,
~ unequally_directed_lines(sK1,reverse_line(sK0)),
inference(cnf_transformation,[],[f105]) ).
fof(f153,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ line(X0)
| unequally_directed_lines(X1,X0)
| ~ line(X1)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0)
| ~ line(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( line(X1)
& line(X0) )
=> ( unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X1] :
( ( line(X1)
& line(X2) )
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.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 21:29:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (11316)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (11332)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (11316)First to succeed.
% 0.19/0.51 % (11309)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (11316)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (11316)------------------------------
% 0.19/0.51 % (11316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11316)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (11316)Memory used [KB]: 5500
% 0.19/0.51 % (11316)Time elapsed: 0.100 s
% 0.19/0.51 % (11316)Instructions burned: 3 (million)
% 0.19/0.51 % (11316)------------------------------
% 0.19/0.51 % (11316)------------------------------
% 0.19/0.51 % (11308)Success in time 0.164 s
%------------------------------------------------------------------------------