TSTP Solution File: GEO265+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n013.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 16:09:36 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 10 |; 8 &)
% ( 3 <=>; 5 =>; 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 : 34 ( 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(unit_resulting_resolution,[],[f178,f179,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( unequally_directed_opposite_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) )
& ( unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_opposite_lines(X1,X0) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X1,X0] :
( ( 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,
! [X1,X0] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).
fof(f179,plain,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(resolution,[],[f161,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,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(f161,plain,
equally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ~ equally_directed_opposite_lines(sK0,sK1)
& equally_directed_lines(sK0,reverse_line(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f124,f125]) ).
fof(f125,plain,
( ? [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,reverse_line(X1)) )
=> ( ~ equally_directed_opposite_lines(sK0,sK1)
& equally_directed_lines(sK0,reverse_line(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
? [X0,X1] :
( ~ equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
? [X1,X0] :
( ~ equally_directed_opposite_lines(X1,X0)
& equally_directed_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ! [X1,X0] :
( 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/sandbox/benchmark/theBenchmark.p',con) ).
fof(f178,plain,
unequally_directed_opposite_lines(sK0,sK1),
inference(resolution,[],[f162,f137]) ).
fof(f137,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,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(f162,plain,
~ equally_directed_opposite_lines(sK0,sK1),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO265+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:30:32 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (31708)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.51 % (31695)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (31716)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52 % (31716)First to succeed.
% 0.20/0.52 % (31716)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (31716)------------------------------
% 0.20/0.52 % (31716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (31716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (31716)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (31716)Memory used [KB]: 6012
% 0.20/0.52 % (31716)Time elapsed: 0.107 s
% 0.20/0.52 % (31716)Instructions burned: 3 (million)
% 0.20/0.52 % (31716)------------------------------
% 0.20/0.52 % (31716)------------------------------
% 0.20/0.52 % (31687)Success in time 0.163 s
%------------------------------------------------------------------------------