TSTP Solution File: GEO233+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 11:14:55 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 28 ~; 28 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f183,plain,
$false,
inference(subsumption_resolution,[],[f181,f99]) ).
fof(f99,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f61,f97]) ).
fof(f97,plain,
( ? [X0] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0)
=> unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0) ),
introduced(choice_axiom,[]) ).
fof(f61,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/sandbox/benchmark/theBenchmark.p',con) ).
fof(f181,plain,
~ unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(resolution,[],[f180,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f165,f119]) ).
fof(f119,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).
fof(f165,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f116,f119]) ).
fof(f116,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag9) ).
fof(f180,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0)),
inference(subsumption_resolution,[],[f179,f102]) ).
fof(f102,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).
fof(f179,plain,
( unequally_directed_lines(sK0,sK0)
| unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0)) ),
inference(resolution,[],[f176,f137]) ).
fof(f137,plain,
! [X0,X1] :
( unequally_directed_lines(sK0,X0)
| unequally_directed_lines(reverse_line(reverse_line(sK0)),X1)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f135,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X5] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X2,X5)
| unequally_directed_lines(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag6) ).
fof(f135,plain,
! [X0] :
( unequally_directed_lines(reverse_line(reverse_line(sK0)),X0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f126,f99]) ).
fof(f176,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(resolution,[],[f166,f136]) ).
fof(f136,plain,
unequally_directed_lines(sK0,reverse_line(reverse_line(sK0))),
inference(resolution,[],[f135,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 05:43:03 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (14249)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (14255)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (14254)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (14252)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)
% 0.13/0.37 % (14253)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (14251)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (14256)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)
% 0.13/0.38 % (14255)First to succeed.
% 0.13/0.38 % (14250)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1,1]
% 0.13/0.38 TRYING [1,1]
% 0.13/0.38 % (14255)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (14255)------------------------------
% 0.13/0.38 % (14255)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (14255)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (14255)Memory used [KB]: 851
% 0.13/0.38 % (14255)Time elapsed: 0.005 s
% 0.13/0.38 % (14255)Instructions burned: 6 (million)
% 0.13/0.38 % (14255)------------------------------
% 0.13/0.38 % (14255)------------------------------
% 0.13/0.38 % (14249)Success in time 0.019 s
%------------------------------------------------------------------------------