TSTP Solution File: GEO227+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO227+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 20:15:27 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 10 |; 7 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 42 ( 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(resolution,[],[f167,f159]) ).
fof(f159,plain,
~ unequally_directed_opposite_lines(sK0,sK1),
inference(resolution,[],[f140,f118]) ).
fof(f118,plain,
equally_directed_opposite_lines(sK0,sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( equally_directed_opposite_lines(sK0,sK1)
& equally_directed_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f76,f115]) ).
fof(f115,plain,
( ? [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X1) )
=> ( equally_directed_opposite_lines(sK0,sK1)
& equally_directed_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1] :
~ ( equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X4] :
~ ( equally_directed_opposite_lines(X3,X4)
& equally_directed_lines(X3,X4) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X4] :
~ ( equally_directed_opposite_lines(X3,X4)
& equally_directed_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f140,plain,
! [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
=> ~ unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
<=> ~ unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_defns) ).
fof(f167,plain,
unequally_directed_opposite_lines(sK0,sK1),
inference(resolution,[],[f164,f160]) ).
fof(f160,plain,
~ unequally_directed_lines(sK0,sK1),
inference(resolution,[],[f141,f117]) ).
fof(f117,plain,
equally_directed_lines(sK0,sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f141,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
=> ~ unequally_directed_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_defns) ).
fof(f164,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f136,f126]) ).
fof(f126,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X4] :
( unequally_directed_lines(X3,reverse_line(X4))
| unequally_directed_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8_basics) ).
fof(f136,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
=> unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO227+3 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 15:00:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (30853)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (30856)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.39 % (30856)First to succeed.
% 0.14/0.39 % (30856)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30853"
% 0.14/0.39 % (30854)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 % (30855)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (30857)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (30858)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (30859)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (30856)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (30856)------------------------------
% 0.14/0.39 % (30856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (30856)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (30856)Memory used [KB]: 843
% 0.14/0.39 % (30856)Time elapsed: 0.007 s
% 0.14/0.39 % (30856)Instructions burned: 6 (million)
% 0.14/0.39 % (30853)Success in time 0.032 s
%------------------------------------------------------------------------------