TSTP Solution File: GEO233+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO233+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 : n012.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 20:15:29 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 34 ~; 36 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 69 ( 67 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(subsumption_resolution,[],[f195,f167]) ).
fof(f167,plain,
! [X0] : unequally_directed_lines(X0,reverse_line(X0)),
inference(resolution,[],[f166,f115]) ).
fof(f115,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : equally_directed_lines(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5_basics) ).
fof(f166,plain,
! [X0,X1] :
( ~ equally_directed_lines(reverse_line(X0),X1)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f163,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( equally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X1) )
& ( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ) ),
inference(nnf_transformation,[],[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(f163,plain,
! [X0,X1] :
( unequally_directed_lines(reverse_line(X0),X1)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f142,f154]) ).
fof(f154,plain,
! [X0] : unequally_directed_lines(reverse_line(X0),X0),
inference(resolution,[],[f152,f115]) ).
fof(f152,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f120,f133]) ).
fof(f120,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/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X4,X7] :
( unequally_directed_lines(X3,X4)
=> ( unequally_directed_lines(X4,X7)
| unequally_directed_lines(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6_basics) ).
fof(f195,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(resolution,[],[f185,f174]) ).
fof(f174,plain,
unequally_directed_lines(sK0,reverse_line(reverse_line(sK0))),
inference(resolution,[],[f173,f115]) ).
fof(f173,plain,
! [X0] :
( ~ equally_directed_lines(reverse_line(reverse_line(sK0)),X0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f162,f133]) ).
fof(f162,plain,
! [X0] :
( unequally_directed_lines(reverse_line(reverse_line(sK0)),X0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f142,f151]) ).
fof(f151,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(resolution,[],[f134,f112]) ).
fof(f112,plain,
~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f73,f109]) ).
fof(f109,plain,
( ? [X0] : ~ equally_directed_lines(reverse_line(reverse_line(X0)),X0)
=> ~ equally_directed_lines(reverse_line(reverse_line(sK0)),sK0) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
? [X0] : ~ equally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0] : equally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3] : equally_directed_lines(reverse_line(reverse_line(X3)),X3),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3] : equally_directed_lines(reverse_line(reverse_line(X3)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f134,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f185,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f184,f135]) ).
fof(f135,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,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/sandbox2/benchmark/theBenchmark.p',ax11_basics) ).
fof(f184,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f129,f135]) ).
fof(f129,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,[],[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(flattening,[],[f85]) ).
fof(f85,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/sandbox2/benchmark/theBenchmark.p',ax9_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO233+3 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 13:41:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (14756)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (14758)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (14757)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (14759)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)
% 0.11/0.34 % (14762)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (14760)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (14761)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (14763)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 % (14762)First to succeed.
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [1,1,1,1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [1,1,1,1]
% 0.11/0.35 TRYING [2,1,1,1]
% 0.11/0.35 % (14762)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14756"
% 0.11/0.35 TRYING [2,1,1,1]
% 0.11/0.35 TRYING [3,1,1,1]
% 0.11/0.35 TRYING [3,1,1,1]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 % (14762)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (14762)------------------------------
% 0.11/0.35 % (14762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (14762)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (14762)Memory used [KB]: 852
% 0.11/0.35 % (14762)Time elapsed: 0.005 s
% 0.11/0.35 % (14762)Instructions burned: 6 (million)
% 0.11/0.35 % (14756)Success in time 0.02 s
%------------------------------------------------------------------------------