TSTP Solution File: GEO268+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n001.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 : Wed Aug 31 16:12:31 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 7 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 110 ( 45 ~; 46 |; 10 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 66 ( 58 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f303,plain,
$false,
inference(subsumption_resolution,[],[f302,f236]) ).
fof(f236,plain,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(subsumption_resolution,[],[f235,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(subsumption_resolution,[],[f232,f213]) ).
fof(f213,plain,
! [X0,X1] : ~ left_convergent_lines(X1,X0),
inference(literal_reordering,[],[f160]) ).
fof(f160,plain,
! [X0,X1] : ~ left_convergent_lines(X1,X0),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ left_convergent_lines(X1,X0)
& ~ left_convergent_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,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(f232,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(subsumption_resolution,[],[f211,f213]) ).
fof(f211,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(literal_reordering,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
=> ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X3] :
( ( 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(f235,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ),
inference(resolution,[],[f233,f220]) ).
fof(f220,plain,
( unequally_directed_lines(sK0,reverse_line(reverse_line(sK1)))
| unequally_directed_lines(sK0,sK1) ),
inference(resolution,[],[f195,f192]) ).
fof(f192,plain,
( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ),
inference(literal_reordering,[],[f161]) ).
fof(f161,plain,
( unequally_directed_lines(sK0,sK1)
| unequally_directed_opposite_lines(sK0,reverse_line(sK1)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,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])],[f124,f125]) ).
fof(f125,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(f124,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(rectify,[],[f123]) ).
fof(f123,plain,
? [X1,X0] :
( ( ~ unequally_directed_opposite_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) )
& ( unequally_directed_opposite_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
? [X1,X0] :
( unequally_directed_lines(X1,X0)
<~> unequally_directed_opposite_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
~ ! [X0,X1] :
( unequally_directed_opposite_lines(X1,reverse_line(X0))
<=> unequally_directed_lines(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X4,X3] :
( unequally_directed_lines(X3,X4)
<=> unequally_directed_opposite_lines(X3,reverse_line(X4)) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X4,X3] :
( unequally_directed_lines(X3,X4)
<=> unequally_directed_opposite_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f195,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(literal_reordering,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_opposite_lines(X1,X0) )
& ( unequally_directed_opposite_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
<=> unequally_directed_opposite_lines(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( unequally_directed_lines(X0,reverse_line(X1))
<=> unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).
fof(f302,plain,
unequally_directed_lines(sK0,reverse_line(sK1)),
inference(resolution,[],[f298,f221]) ).
fof(f221,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f219,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_opposite_lines(X1,X0) ),
inference(literal_reordering,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f219,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0) ),
inference(literal_reordering,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X3] :
( unequally_directed_lines(X3,reverse_line(X4))
| unequally_directed_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8_basics) ).
fof(f298,plain,
~ unequally_directed_opposite_lines(sK0,reverse_line(sK1)),
inference(subsumption_resolution,[],[f185,f270]) ).
fof(f270,plain,
unequally_directed_lines(sK0,sK1),
inference(resolution,[],[f236,f219]) ).
fof(f185,plain,
( ~ unequally_directed_lines(sK0,sK1)
| ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1)) ),
inference(literal_reordering,[],[f162]) ).
fof(f162,plain,
( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:56:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42 % (22478)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.43 TRYING [1]
% 0.18/0.43 TRYING [2]
% 0.18/0.43 TRYING [3]
% 0.18/0.43 % (22486)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.44 % (22495)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.44 TRYING [4]
% 0.18/0.45 TRYING [5]
% 0.18/0.46 % (22486)First to succeed.
% 0.18/0.46 % (22486)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (22486)------------------------------
% 0.18/0.46 % (22486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (22486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (22486)Termination reason: Refutation
% 0.18/0.46
% 0.18/0.46 % (22486)Memory used [KB]: 5884
% 0.18/0.46 % (22486)Time elapsed: 0.007 s
% 0.18/0.46 % (22486)Instructions burned: 7 (million)
% 0.18/0.46 % (22486)------------------------------
% 0.18/0.46 % (22486)------------------------------
% 0.18/0.46 % (22469)Success in time 0.124 s
%------------------------------------------------------------------------------