TSTP Solution File: GEO233+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO233+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 : n017.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 16:09:25 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 93 ( 28 ~; 49 |; 10 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 53 ( 52 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f219,plain,
$false,
inference(avatar_sat_refutation,[],[f151,f198,f218]) ).
fof(f218,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f217]) ).
fof(f217,plain,
( $false
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f215,f126]) ).
fof(f126,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag5) ).
fof(f215,plain,
( unequally_directed_lines(sK0,sK0)
| ~ spl1_2 ),
inference(resolution,[],[f150,f126]) ).
fof(f150,plain,
( ! [X0] :
( unequally_directed_lines(reverse_line(sK0),reverse_line(X0))
| unequally_directed_lines(sK0,X0) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl1_2
<=> ! [X0] :
( unequally_directed_lines(reverse_line(sK0),reverse_line(X0))
| unequally_directed_lines(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f198,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f197]) ).
fof(f197,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f194,f147]) ).
fof(f147,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK0))
| spl1_1 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl1_1
<=> unequally_directed_lines(sK0,reverse_line(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f194,plain,
( unequally_directed_lines(sK0,reverse_line(sK0))
| spl1_1 ),
inference(factoring,[],[f188]) ).
fof(f188,plain,
( ! [X9] :
( unequally_directed_lines(sK0,reverse_line(X9))
| unequally_directed_lines(X9,reverse_line(sK0)) )
| spl1_1 ),
inference(resolution,[],[f180,f126]) ).
fof(f180,plain,
( ! [X4,X5] :
( unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(X5))
| unequally_directed_lines(X4,X5)
| unequally_directed_lines(sK0,reverse_line(X4)) )
| spl1_1 ),
inference(subsumption_resolution,[],[f140,f169]) ).
fof(f169,plain,
( ! [X0] :
( unequally_directed_lines(reverse_line(reverse_line(sK0)),X0)
| unequally_directed_lines(sK0,reverse_line(X0)) )
| spl1_1 ),
inference(subsumption_resolution,[],[f165,f147]) ).
fof(f165,plain,
! [X0] :
( unequally_directed_lines(sK0,reverse_line(sK0))
| unequally_directed_lines(sK0,reverse_line(X0))
| unequally_directed_lines(reverse_line(reverse_line(sK0)),X0) ),
inference(resolution,[],[f139,f114]) ).
fof(f114,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
? [X0] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f139,plain,
! [X2,X3] :
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),X2)
| unequally_directed_lines(X2,reverse_line(X3))
| unequally_directed_lines(sK0,reverse_line(X2))
| unequally_directed_lines(reverse_line(reverse_line(sK0)),X3) ),
inference(resolution,[],[f136,f125]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X1,X2,X0] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
| ( unequally_directed_lines(X0,reverse_line(X2))
& unequally_directed_lines(X0,X2) )
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X1,X0,X2] :
( ( unequally_directed_lines(X0,reverse_line(X2))
& unequally_directed_lines(X0,X2) )
| ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0,X2] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( ( unequally_directed_lines(X0,reverse_line(X2))
& unequally_directed_lines(X0,X2) )
| ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X2,X5] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( ( unequally_directed_lines(X1,reverse_line(X5))
& unequally_directed_lines(X1,X5) )
| ( unequally_directed_lines(X2,X5)
& unequally_directed_lines(X2,reverse_line(X5)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag7) ).
fof(f136,plain,
! [X0] :
( unequally_directed_lines(reverse_line(reverse_line(sK0)),X0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f105,f114]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X2,X1)
| unequally_directed_lines(X1,X0)
| unequally_directed_lines(X2,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X2,X1)
| unequally_directed_lines(X1,X0)
| unequally_directed_lines(X2,X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X2,X0)
| ~ unequally_directed_lines(X2,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X2,X1)
=> ( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X2,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X5,X2,X1] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X1,X5)
| unequally_directed_lines(X2,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).
fof(f140,plain,
! [X4,X5] :
( unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(X5))
| unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),X4)
| unequally_directed_lines(sK0,reverse_line(X4)) ),
inference(resolution,[],[f136,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,reverse_line(X2))
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f151,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f141,f149,f145]) ).
fof(f141,plain,
! [X0] :
( unequally_directed_lines(reverse_line(sK0),reverse_line(X0))
| unequally_directed_lines(sK0,X0)
| ~ unequally_directed_lines(sK0,reverse_line(sK0)) ),
inference(resolution,[],[f137,f125]) ).
fof(f137,plain,
unequally_directed_lines(sK0,reverse_line(reverse_line(sK0))),
inference(resolution,[],[f136,f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 20:56:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 % (20903)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.48 % (20903)First to succeed.
% 0.20/0.48 % (20911)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.49 % (20895)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.49 % (20903)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (20903)------------------------------
% 0.20/0.49 % (20903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (20903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (20903)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (20903)Memory used [KB]: 6012
% 0.20/0.49 % (20903)Time elapsed: 0.092 s
% 0.20/0.49 % (20903)Instructions burned: 8 (million)
% 0.20/0.49 % (20903)------------------------------
% 0.20/0.49 % (20903)------------------------------
% 0.20/0.49 % (20882)Success in time 0.145 s
%------------------------------------------------------------------------------