TSTP Solution File: GEO227+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO227+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_uns --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 16:09:23 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 23 ~; 12 |; 8 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 46 ( 42 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(subsumption_resolution,[],[f80,f76]) ).
fof(f76,plain,
~ unequally_directed_opposite_lines(sK1,sK0),
inference(resolution,[],[f71,f69]) ).
fof(f69,plain,
equally_directed_opposite_lines(sK1,sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( equally_directed_lines(sK1,sK0)
& equally_directed_opposite_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f49,f57]) ).
fof(f57,plain,
( ? [X0,X1] :
( equally_directed_lines(X1,X0)
& equally_directed_opposite_lines(X1,X0) )
=> ( equally_directed_lines(sK1,sK0)
& equally_directed_opposite_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0,X1] :
( equally_directed_lines(X1,X0)
& equally_directed_opposite_lines(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X1,X0] :
~ ( equally_directed_lines(X1,X0)
& equally_directed_opposite_lines(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X4,X3] :
~ ( equally_directed_lines(X3,X4)
& equally_directed_opposite_lines(X3,X4) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X4,X3] :
~ ( equally_directed_lines(X3,X4)
& equally_directed_opposite_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f71,plain,
! [X0,X1] :
( ~ equally_directed_opposite_lines(X1,X0)
| ~ unequally_directed_opposite_lines(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X1,X0)
| ~ equally_directed_opposite_lines(X1,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X1,X0)
=> ~ unequally_directed_opposite_lines(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f42,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(f80,plain,
unequally_directed_opposite_lines(sK1,sK0),
inference(resolution,[],[f78,f73]) ).
fof(f73,plain,
~ unequally_directed_lines(sK1,sK0),
inference(resolution,[],[f61,f70]) ).
fof(f70,plain,
equally_directed_lines(sK1,sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f61,plain,
! [X0,X1] :
( ~ equally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( equally_directed_lines(X1,X0)
| unequally_directed_lines(X1,X0) )
& ( ~ unequally_directed_lines(X1,X0)
| ~ equally_directed_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,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(f78,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f72,f60]) ).
fof(f60,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,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,X4)
| unequally_directed_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).
fof(f72,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_opposite_lines(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_opposite_lines(X1,X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( unequally_directed_lines(X0,reverse_line(X1))
=> unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[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
% 0.04/0.12 % Problem : GEO227+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:31:48 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51 % (10847)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.51 % (10831)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.51 % (10831)First to succeed.
% 0.21/0.51 % (10831)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (10831)------------------------------
% 0.21/0.51 % (10831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (10831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (10831)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (10831)Memory used [KB]: 5884
% 0.21/0.51 % (10831)Time elapsed: 0.111 s
% 0.21/0.51 % (10831)Instructions burned: 2 (million)
% 0.21/0.51 % (10831)------------------------------
% 0.21/0.51 % (10831)------------------------------
% 0.21/0.51 % (10824)Success in time 0.16 s
%------------------------------------------------------------------------------