TSTP Solution File: GEO146+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n021.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 16:08:42 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 1 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 97 ( 39 ~; 39 |; 8 &)
% ( 9 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 37 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,plain,
$false,
inference(avatar_sat_refutation,[],[f81,f82,f117,f143]) ).
fof(f143,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f142,plain,
( $false
| ~ spl4_1
| spl4_2 ),
inference(subsumption_resolution,[],[f134,f79]) ).
fof(f79,plain,
( ~ connect(sK1,sK3,sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl4_2
<=> connect(sK1,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f134,plain,
( connect(sK1,sK3,sK2)
| ~ spl4_1 ),
inference(resolution,[],[f122,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ once(at_the_same_time(at(X2,X1),at(X0,X1)))
| connect(X2,X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( connect(X2,X0,X1)
| ~ once(at_the_same_time(at(X2,X1),at(X0,X1))) )
& ( once(at_the_same_time(at(X2,X1),at(X0,X1)))
| ~ connect(X2,X0,X1) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ( connect(X1,X2,X0)
| ~ once(at_the_same_time(at(X1,X0),at(X2,X0))) )
& ( once(at_the_same_time(at(X1,X0),at(X2,X0)))
| ~ connect(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( connect(X1,X2,X0)
<=> once(at_the_same_time(at(X1,X0),at(X2,X0))) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X2,X11,X12] :
( connect(X11,X12,X2)
<=> once(at_the_same_time(at(X11,X2),at(X12,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn) ).
fof(f122,plain,
( once(at_the_same_time(at(sK1,sK2),at(sK3,sK2)))
| ~ spl4_1 ),
inference(resolution,[],[f118,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X1,X0))
| once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( once(at_the_same_time(X0,X1))
| ~ once(at_the_same_time(X1,X0)) )
& ( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) )
& ( once(at_the_same_time(X0,X1))
| ~ once(at_the_same_time(X1,X0)) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( once(at_the_same_time(X1,X0))
<=> once(at_the_same_time(X0,X1)) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X13,X14] :
( once(at_the_same_time(X14,X13))
<=> once(at_the_same_time(X13,X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_at_the_same_time) ).
fof(f118,plain,
( once(at_the_same_time(at(sK3,sK2),at(sK1,sK2)))
| ~ spl4_1 ),
inference(resolution,[],[f76,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ connect(X2,X0,X1)
| once(at_the_same_time(at(X2,X1),at(X0,X1))) ),
inference(cnf_transformation,[],[f60]) ).
fof(f76,plain,
( connect(sK3,sK1,sK2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl4_1
<=> connect(sK3,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f117,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f108,f75]) ).
fof(f75,plain,
( ~ connect(sK3,sK1,sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f108,plain,
( connect(sK3,sK1,sK2)
| ~ spl4_2 ),
inference(resolution,[],[f92,f72]) ).
fof(f92,plain,
( once(at_the_same_time(at(sK3,sK2),at(sK1,sK2)))
| ~ spl4_2 ),
inference(resolution,[],[f89,f65]) ).
fof(f89,plain,
( once(at_the_same_time(at(sK1,sK2),at(sK3,sK2)))
| ~ spl4_2 ),
inference(resolution,[],[f71,f80]) ).
fof(f80,plain,
( connect(sK1,sK3,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f70,f78,f74]) ).
fof(f70,plain,
( ~ connect(sK1,sK3,sK2)
| ~ connect(sK3,sK1,sK2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( ~ connect(sK3,sK1,sK2)
| ~ connect(sK1,sK3,sK2) )
& ( connect(sK3,sK1,sK2)
| connect(sK1,sK3,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f56,f57]) ).
fof(f57,plain,
( ? [X0,X1,X2] :
( ( ~ connect(X2,X0,X1)
| ~ connect(X0,X2,X1) )
& ( connect(X2,X0,X1)
| connect(X0,X2,X1) ) )
=> ( ( ~ connect(sK3,sK1,sK2)
| ~ connect(sK1,sK3,sK2) )
& ( connect(sK3,sK1,sK2)
| connect(sK1,sK3,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0,X1,X2] :
( ( ~ connect(X2,X0,X1)
| ~ connect(X0,X2,X1) )
& ( connect(X2,X0,X1)
| connect(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
? [X0,X1,X2] :
( connect(X0,X2,X1)
<~> connect(X2,X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X1,X0,X2] :
( connect(X0,X2,X1)
<=> connect(X2,X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X11,X2,X12] :
( connect(X12,X11,X2)
<=> connect(X11,X12,X2) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X11,X2,X12] :
( connect(X12,X11,X2)
<=> connect(X11,X12,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12) ).
fof(f81,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f69,f78,f74]) ).
fof(f69,plain,
( connect(sK1,sK3,sK2)
| connect(sK3,sK1,sK2) ),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.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 : Mon Aug 29 21:17:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (21704)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.48 % (21704)First to succeed.
% 0.19/0.49 % (21696)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (21704)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (21704)------------------------------
% 0.19/0.49 % (21704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (21704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (21704)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (21704)Memory used [KB]: 6012
% 0.19/0.49 % (21704)Time elapsed: 0.094 s
% 0.19/0.49 % (21704)Instructions burned: 3 (million)
% 0.19/0.49 % (21704)------------------------------
% 0.19/0.49 % (21704)------------------------------
% 0.19/0.49 % (21678)Success in time 0.142 s
%------------------------------------------------------------------------------