TSTP Solution File: GEO265+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO265+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 : n005.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 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 58 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 22 ~; 9 |; 4 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 45 ( 41 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f217,plain,
$false,
inference(subsumption_resolution,[],[f216,f202]) ).
fof(f202,plain,
~ unequally_directed_lines(sK1,sF2),
inference(resolution,[],[f176,f184]) ).
fof(f184,plain,
equally_directed_lines(sK1,sF2),
inference(definition_folding,[],[f167,f183]) ).
fof(f183,plain,
sF2 = reverse_line(sK0),
introduced(function_definition,[]) ).
fof(f167,plain,
equally_directed_lines(sK1,reverse_line(sK0)),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ~ equally_directed_opposite_lines(sK1,sK0)
& equally_directed_lines(sK1,reverse_line(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f102,f135]) ).
fof(f135,plain,
( ? [X0,X1] :
( ~ equally_directed_opposite_lines(X1,X0)
& equally_directed_lines(X1,reverse_line(X0)) )
=> ( ~ equally_directed_opposite_lines(sK1,sK0)
& equally_directed_lines(sK1,reverse_line(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0,X1] :
( ~ equally_directed_opposite_lines(X1,X0)
& equally_directed_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ! [X0,X1] :
( equally_directed_lines(X1,reverse_line(X0))
=> equally_directed_opposite_lines(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X4,X3] :
( equally_directed_lines(X3,reverse_line(X4))
=> equally_directed_opposite_lines(X3,X4) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X4,X3] :
( equally_directed_lines(X3,reverse_line(X4))
=> equally_directed_opposite_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f176,plain,
! [X0,X1] :
( ~ equally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| ~ equally_directed_lines(X1,X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( equally_directed_lines(X1,X0)
=> ~ unequally_directed_lines(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( equally_directed_lines(X1,X0)
<=> ~ unequally_directed_lines(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_defns) ).
fof(f216,plain,
unequally_directed_lines(sK1,sF2),
inference(resolution,[],[f211,f201]) ).
fof(f201,plain,
unequally_directed_opposite_lines(sK1,sK0),
inference(resolution,[],[f172,f168]) ).
fof(f168,plain,
~ equally_directed_opposite_lines(sK1,sK0),
inference(cnf_transformation,[],[f136]) ).
fof(f172,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| equally_directed_opposite_lines(X0,X1) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( unequally_directed_opposite_lines(X1,X0)
| equally_directed_opposite_lines(X1,X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X1,X0)
=> equally_directed_opposite_lines(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X1,X0)
<=> ~ unequally_directed_opposite_lines(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( equally_directed_opposite_lines(X0,X1)
<=> ~ unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_defns) ).
fof(f211,plain,
! [X0] :
( ~ unequally_directed_opposite_lines(X0,sK0)
| unequally_directed_lines(X0,sF2) ),
inference(superposition,[],[f164,f183]) ).
fof(f164,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X1,X0] :
( ~ unequally_directed_opposite_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X1,X0)
=> unequally_directed_lines(X1,reverse_line(X0)) ),
inference(unused_predicate_definition_removal,[],[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/sandbox2/benchmark/theBenchmark.p',a1_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO265+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:34:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (18178)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.47 % (18186)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.47 % (18186)First to succeed.
% 0.20/0.47 % (18186)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (18186)------------------------------
% 0.20/0.47 % (18186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (18186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (18186)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (18186)Memory used [KB]: 5500
% 0.20/0.47 % (18186)Time elapsed: 0.079 s
% 0.20/0.47 % (18186)Instructions burned: 3 (million)
% 0.20/0.47 % (18186)------------------------------
% 0.20/0.47 % (18186)------------------------------
% 0.20/0.47 % (18171)Success in time 0.128 s
%------------------------------------------------------------------------------