TSTP Solution File: GEO231+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO231+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 : n003.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 : Sun May 5 05:16:18 EDT 2024
% Result : Theorem 0.19s 0.38s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 61 ( 15 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 127 ( 49 ~; 48 |; 18 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 105 ( 96 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f452,plain,
$false,
inference(subsumption_resolution,[],[f451,f116]) ).
fof(f116,plain,
equally_directed_opposite_lines(sK0,sK1),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ~ equally_directed_opposite_lines(sK1,sK2)
& equally_directed_lines(sK0,sK2)
& equally_directed_opposite_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f75,f112]) ).
fof(f112,plain,
( ? [X0,X1,X2] :
( ~ equally_directed_opposite_lines(X1,X2)
& equally_directed_lines(X0,X2)
& equally_directed_opposite_lines(X0,X1) )
=> ( ~ equally_directed_opposite_lines(sK1,sK2)
& equally_directed_lines(sK0,sK2)
& equally_directed_opposite_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
? [X0,X1,X2] :
( ~ equally_directed_opposite_lines(X1,X2)
& equally_directed_lines(X0,X2)
& equally_directed_opposite_lines(X0,X1) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
? [X0,X1,X2] :
( ~ equally_directed_opposite_lines(X1,X2)
& equally_directed_lines(X0,X2)
& equally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2] :
( ( equally_directed_lines(X0,X2)
& equally_directed_opposite_lines(X0,X1) )
=> equally_directed_opposite_lines(X1,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X4,X7] :
( ( equally_directed_lines(X3,X7)
& equally_directed_opposite_lines(X3,X4) )
=> equally_directed_opposite_lines(X4,X7) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X4,X7] :
( ( equally_directed_lines(X3,X7)
& equally_directed_opposite_lines(X3,X4) )
=> equally_directed_opposite_lines(X4,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f451,plain,
~ equally_directed_opposite_lines(sK0,sK1),
inference(resolution,[],[f442,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) )
& ( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_opposite_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
<=> ~ unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_defns) ).
fof(f442,plain,
unequally_directed_opposite_lines(sK0,sK1),
inference(resolution,[],[f333,f168]) ).
fof(f168,plain,
unequally_directed_opposite_lines(sK0,sK2),
inference(resolution,[],[f166,f117]) ).
fof(f117,plain,
equally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f113]) ).
fof(f166,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f165,f143]) ).
fof(f143,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,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/sandbox/benchmark/theBenchmark.p',a4_defns) ).
fof(f165,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f137,f126]) ).
fof(f126,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(f137,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(f333,plain,
! [X0] :
( ~ unequally_directed_opposite_lines(X0,sK2)
| unequally_directed_opposite_lines(X0,sK1) ),
inference(resolution,[],[f316,f197]) ).
fof(f197,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f196,f136]) ).
fof(f136,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f196,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f195,f144]) ).
fof(f144,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,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(f195,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f135,f144]) ).
fof(f135,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,[],[f88]) ).
fof(f88,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,[],[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(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(f316,plain,
! [X0] :
( unequally_directed_lines(X0,sK2)
| unequally_directed_opposite_lines(X0,sK1) ),
inference(resolution,[],[f311,f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X2,X1)
| unequally_directed_opposite_lines(X0,X2) ),
inference(resolution,[],[f151,f165]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f100]) ).
fof(f100,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/sandbox/benchmark/theBenchmark.p',ax6_basics) ).
fof(f311,plain,
~ unequally_directed_lines(sK1,sK2),
inference(resolution,[],[f299,f196]) ).
fof(f299,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(resolution,[],[f247,f169]) ).
fof(f169,plain,
! [X0] : unequally_directed_opposite_lines(X0,X0),
inference(resolution,[],[f166,f121]) ).
fof(f121,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/sandbox/benchmark/theBenchmark.p',ax5_basics) ).
fof(f247,plain,
! [X0] :
( ~ unequally_directed_opposite_lines(reverse_line(sK2),X0)
| unequally_directed_lines(sK1,X0) ),
inference(resolution,[],[f240,f197]) ).
fof(f240,plain,
! [X0] :
( unequally_directed_lines(reverse_line(sK2),X0)
| unequally_directed_lines(sK1,X0) ),
inference(resolution,[],[f179,f160]) ).
fof(f160,plain,
unequally_directed_opposite_lines(sK1,sK2),
inference(resolution,[],[f142,f118]) ).
fof(f118,plain,
~ equally_directed_opposite_lines(sK1,sK2),
inference(cnf_transformation,[],[f113]) ).
fof(f142,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X2)
| unequally_directed_lines(reverse_line(X2),X1)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f151,f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO231+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 21:53:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (7445)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (7449)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (7452)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)
% 0.13/0.36 % (7447)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (7448)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)
% 0.13/0.36 % (7450)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (7451)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.36 TRYING [1]
% 0.19/0.37 TRYING [2]
% 0.19/0.37 TRYING [1,1,1,1]
% 0.19/0.37 TRYING [1,1,1,1]
% 0.19/0.37 TRYING [2,1,1,1]
% 0.19/0.37 TRYING [2,1,1,1]
% 0.19/0.37 TRYING [3]
% 0.19/0.37 % (7446)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.37 TRYING [3,1,1,1]
% 0.19/0.37 TRYING [3,1,1,1]
% 0.19/0.37 TRYING [4,1,1,1]
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [4,1,1,1]
% 0.19/0.37 TRYING [4]
% 0.19/0.37 TRYING [2]
% 0.19/0.37 TRYING [3]
% 0.19/0.37 TRYING [5,1,1,1]
% 0.19/0.37 % (7451)First to succeed.
% 0.19/0.37 TRYING [5,1,1,1]
% 0.19/0.37 % (7451)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7445"
% 0.19/0.37 TRYING [4]
% 0.19/0.38 % (7451)Refutation found. Thanks to Tanya!
% 0.19/0.38 % SZS status Theorem for theBenchmark
% 0.19/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.38 % (7451)------------------------------
% 0.19/0.38 % (7451)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.38 % (7451)Termination reason: Refutation
% 0.19/0.38
% 0.19/0.38 % (7451)Memory used [KB]: 909
% 0.19/0.38 % (7451)Time elapsed: 0.011 s
% 0.19/0.38 % (7451)Instructions burned: 19 (million)
% 0.19/0.38 % (7445)Success in time 0.027 s
%------------------------------------------------------------------------------