TSTP Solution File: GEO265+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 : Tue Apr 30 11:15:05 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 6 |; 4 &)
% ( 3 <=>; 7 =>; 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 : 34 ( 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,plain,
$false,
inference(subsumption_resolution,[],[f169,f163]) ).
fof(f163,plain,
~ unequally_directed_lines(sK1,reverse_line(sK2)),
inference(resolution,[],[f145,f121]) ).
fof(f121,plain,
equally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ~ equally_directed_opposite_lines(sK1,sK2)
& equally_directed_lines(sK1,reverse_line(sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f76,f117]) ).
fof(f117,plain,
( ? [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,reverse_line(X1)) )
=> ( ~ equally_directed_opposite_lines(sK1,sK2)
& equally_directed_lines(sK1,reverse_line(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1] :
( equally_directed_lines(X0,reverse_line(X1))
=> equally_directed_opposite_lines(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X4] :
( equally_directed_lines(X3,reverse_line(X4))
=> equally_directed_opposite_lines(X3,X4) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X4] :
( equally_directed_lines(X3,reverse_line(X4))
=> equally_directed_opposite_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f145,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/sandbox2/benchmark/theBenchmark.p',a4_defns) ).
fof(f169,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(resolution,[],[f140,f162]) ).
fof(f162,plain,
unequally_directed_opposite_lines(sK1,sK2),
inference(resolution,[],[f142,f122]) ).
fof(f122,plain,
~ equally_directed_opposite_lines(sK1,sK2),
inference(cnf_transformation,[],[f118]) ).
fof(f142,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
=> equally_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/sandbox2/benchmark/theBenchmark.p',a5_defns) ).
fof(f140,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
=> unequally_directed_lines(X0,reverse_line(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/sandbox2/benchmark/theBenchmark.p',a1_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n029.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 : Tue Apr 30 06:00:35 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (13444)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13447)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)
% 0.14/0.37 % (13450)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (13449)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (13451)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (13446)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (13448)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (13449)First to succeed.
% 0.14/0.38 % (13450)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (13447)Also succeeded, but the first one will report.
% 0.14/0.38 % (13449)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (13449)------------------------------
% 0.14/0.38 % (13449)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (13449)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (13449)Memory used [KB]: 847
% 0.14/0.38 % (13449)Time elapsed: 0.004 s
% 0.14/0.38 % (13449)Instructions burned: 4 (million)
% 0.14/0.38 % (13449)------------------------------
% 0.14/0.38 % (13449)------------------------------
% 0.14/0.38 % (13444)Success in time 0.019 s
%------------------------------------------------------------------------------