TSTP Solution File: GEO268+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO268+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 : n031.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 11:15:06 EDT 2024
% Result : Theorem 0.18s 0.37s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 2 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 119 ( 49 ~; 52 |; 8 &)
% ( 6 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 56 ( 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f236,plain,
$false,
inference(avatar_sat_refutation,[],[f164,f165,f228,f235]) ).
fof(f235,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| ~ spl2_1
| spl2_2 ),
inference(subsumption_resolution,[],[f232,f158]) ).
fof(f158,plain,
( unequally_directed_lines(sK0,sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl2_1
<=> unequally_directed_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f232,plain,
( ~ unequally_directed_lines(sK0,sK1)
| spl2_2 ),
inference(resolution,[],[f163,f197]) ).
fof(f197,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f194,f169]) ).
fof(f169,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f135,f124]) ).
fof(f124,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(f135,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) )
& ( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ) ),
inference(nnf_transformation,[],[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) ).
fof(f194,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f193,f140]) ).
fof(f140,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11_basics) ).
fof(f193,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f133,f140]) ).
fof(f133,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,[],[f87]) ).
fof(f87,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,[],[f86]) ).
fof(f86,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,[],[f54]) ).
fof(f54,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,[],[f19]) ).
fof(f19,axiom,
! [X3,X4] :
( ( unequally_directed_lines(X3,reverse_line(X4))
& unequally_directed_lines(X3,X4) )
=> ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9_basics) ).
fof(f163,plain,
( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| spl2_2 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl2_2
<=> unequally_directed_opposite_lines(sK0,reverse_line(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f228,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f226,f170]) ).
fof(f170,plain,
( unequally_directed_opposite_lines(sK0,sK1)
| spl2_1 ),
inference(resolution,[],[f169,f159]) ).
fof(f159,plain,
( ~ unequally_directed_lines(sK0,sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f226,plain,
( ~ unequally_directed_opposite_lines(sK0,sK1)
| ~ spl2_2 ),
inference(resolution,[],[f205,f162]) ).
fof(f162,plain,
( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f205,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f195,f134]) ).
fof(f134,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f195,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f194,f134]) ).
fof(f165,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f115,f161,f157]) ).
fof(f115,plain,
( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) )
& ( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f111,f112]) ).
fof(f112,plain,
( ? [X0,X1] :
( ( ~ unequally_directed_opposite_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( unequally_directed_opposite_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) )
=> ( ( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) )
& ( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
? [X0,X1] :
( ( ~ unequally_directed_opposite_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( unequally_directed_opposite_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
? [X0,X1] :
( unequally_directed_lines(X0,X1)
<~> unequally_directed_opposite_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1] :
( unequally_directed_lines(X0,X1)
<=> unequally_directed_opposite_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X4] :
( unequally_directed_lines(X3,X4)
<=> unequally_directed_opposite_lines(X3,reverse_line(X4)) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X4] :
( unequally_directed_lines(X3,X4)
<=> unequally_directed_opposite_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f164,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f116,f161,f157]) ).
fof(f116,plain,
( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GEO268+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 06:22:58 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (25493)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.37 % (25495)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.37 % (25499)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.37 % (25496)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)
% 0.18/0.37 % (25500)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)
% 0.18/0.37 % (25497)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.37 % (25498)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.37 TRYING [1]
% 0.18/0.37 % (25499)First to succeed.
% 0.18/0.37 TRYING [1,1,1,1]
% 0.18/0.37 TRYING [2]
% 0.18/0.37 TRYING [2,1,1,1]
% 0.18/0.37 TRYING [1,1,1,1]
% 0.18/0.37 TRYING [3,1,1,1]
% 0.18/0.37 TRYING [2,1,1,1]
% 0.18/0.37 TRYING [3]
% 0.18/0.37 TRYING [3,1,1,1]
% 0.18/0.37 % (25499)Refutation found. Thanks to Tanya!
% 0.18/0.37 % SZS status Theorem for theBenchmark
% 0.18/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.37 % (25499)------------------------------
% 0.18/0.37 % (25499)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.37 % (25499)Termination reason: Refutation
% 0.18/0.37
% 0.18/0.37 % (25499)Memory used [KB]: 867
% 0.18/0.37 % (25499)Time elapsed: 0.006 s
% 0.18/0.37 % (25499)Instructions burned: 7 (million)
% 0.18/0.37 % (25499)------------------------------
% 0.18/0.37 % (25499)------------------------------
% 0.18/0.37 % (25493)Success in time 0.02 s
%------------------------------------------------------------------------------