TSTP Solution File: GEO231+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO231+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 : 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 : Tue Apr 30 11:14:54 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 11 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 127 ( 58 ~; 43 |; 16 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 64 ( 55 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(avatar_sat_refutation,[],[f166,f211,f227]) ).
fof(f227,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f226,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f224,f105]) ).
fof(f105,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/sandbox2/benchmark/theBenchmark.p',oag5) ).
fof(f224,plain,
( unequally_directed_lines(sK1,sK1)
| ~ spl3_3 ),
inference(resolution,[],[f221,f138]) ).
fof(f138,plain,
! [X0] :
( unequally_directed_lines(reverse_line(sK2),X0)
| unequally_directed_lines(sK1,X0) ),
inference(resolution,[],[f129,f102]) ).
fof(f102,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( unequally_directed_lines(sK1,reverse_line(sK2))
& ~ unequally_directed_lines(sK0,sK2)
& ~ unequally_directed_lines(sK0,reverse_line(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f62,f98]) ).
fof(f98,plain,
( ? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) )
=> ( unequally_directed_lines(sK1,reverse_line(sK2))
& ~ unequally_directed_lines(sK0,sK2)
& ~ unequally_directed_lines(sK0,reverse_line(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2] :
( ( ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) )
=> ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X2,X5] :
( ( ~ unequally_directed_lines(X1,X5)
& ~ unequally_directed_lines(X1,reverse_line(X2)) )
=> ~ unequally_directed_lines(X2,reverse_line(X5)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2,X5] :
( ( ~ unequally_directed_lines(X1,X5)
& ~ unequally_directed_lines(X1,reverse_line(X2)) )
=> ~ unequally_directed_lines(X2,reverse_line(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,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/sandbox2/benchmark/theBenchmark.p',oag6) ).
fof(f221,plain,
( ~ unequally_directed_lines(reverse_line(sK2),sK1)
| ~ spl3_3 ),
inference(resolution,[],[f165,f197]) ).
fof(f197,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f196,f122]) ).
fof(f122,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f78]) ).
fof(f78,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/sandbox2/benchmark/theBenchmark.p',oag11) ).
fof(f196,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f119,f122]) ).
fof(f119,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,[],[f76]) ).
fof(f76,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,[],[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(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/sandbox2/benchmark/theBenchmark.p',oag9) ).
fof(f165,plain,
( unequally_directed_lines(reverse_line(sK2),reverse_line(sK1))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl3_3
<=> unequally_directed_lines(reverse_line(sK2),reverse_line(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f211,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f210,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f205,f193]) ).
fof(f193,plain,
( unequally_directed_lines(sK1,sK2)
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f189,f105]) ).
fof(f189,plain,
( unequally_directed_lines(sK0,sK0)
| unequally_directed_lines(sK1,sK2)
| ~ spl3_2 ),
inference(resolution,[],[f169,f101]) ).
fof(f101,plain,
~ unequally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f169,plain,
( ! [X0,X1] :
( unequally_directed_lines(sK0,X0)
| unequally_directed_lines(sK1,X1)
| unequally_directed_lines(X0,X1) )
| ~ spl3_2 ),
inference(resolution,[],[f167,f129]) ).
fof(f167,plain,
( ! [X0] :
( unequally_directed_lines(sK1,X0)
| unequally_directed_lines(sK0,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f160,f129]) ).
fof(f160,plain,
( unequally_directed_lines(sK1,sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl3_2
<=> unequally_directed_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f205,plain,
~ unequally_directed_lines(sK1,sK2),
inference(resolution,[],[f197,f102]) ).
fof(f166,plain,
( spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f150,f158,f163]) ).
fof(f150,plain,
( unequally_directed_lines(sK1,sK0)
| unequally_directed_lines(reverse_line(sK2),reverse_line(sK1)) ),
inference(resolution,[],[f140,f100]) ).
fof(f100,plain,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f99]) ).
fof(f140,plain,
! [X0,X1] :
( unequally_directed_lines(sK1,X0)
| unequally_directed_lines(reverse_line(sK2),X1)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f138,f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 05:46:25 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (14359)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (14361)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 % (14367)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.39 % (14366)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.39 % (14364)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)
% 0.16/0.39 % (14365)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.39 % (14368)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)
% 0.16/0.39 % (14362)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [1,1]
% 0.16/0.39 TRYING [1,1]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 % (14367)First to succeed.
% 0.16/0.39 TRYING [2,1]
% 0.16/0.39 TRYING [2,1]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [3,1]
% 0.16/0.39 TRYING [3,1]
% 0.16/0.39 % (14367)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (14367)------------------------------
% 0.16/0.39 % (14367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.39 % (14367)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (14367)Memory used [KB]: 868
% 0.16/0.39 % (14367)Time elapsed: 0.006 s
% 0.16/0.39 % (14367)Instructions burned: 7 (million)
% 0.16/0.39 % (14367)------------------------------
% 0.16/0.39 % (14367)------------------------------
% 0.16/0.39 % (14359)Success in time 0.024 s
%------------------------------------------------------------------------------