TSTP Solution File: GEO052-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO052-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 May 31 12:07:35 EDT 2023
% Result : Unsatisfiable 0.14s 0.62s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 13 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 31 ~; 31 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 33 (; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(U,W,X)
| between(V,W,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U,V,X,W] :
( ~ between(U,V,X)
| ~ between(U,W,X)
| between(U,V,W)
| between(U,W,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,hypothesis,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,hypothesis,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
~ between(w,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f141,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f153,plain,
! [V,W,X] :
( ! [U] :
( ~ between(U,V,W)
| ~ between(U,W,X) )
| between(V,W,X) ),
inference(miniscoping,[status(esa)],[f54]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f195,plain,
! [U,V,W] :
( ! [X] :
( ~ between(U,V,X)
| ~ between(U,W,X) )
| between(U,V,W)
| between(U,W,V) ),
inference(miniscoping,[status(esa)],[f80]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X2)
| between(X0,X1,X3)
| between(X0,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f197,plain,
between(u,v,x),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f198,plain,
between(u,w,x),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f199,plain,
~ between(v,w,x),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f200,plain,
~ between(w,v,x),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f962,plain,
! [X0] :
( ~ between(u,X0,x)
| between(u,X0,v)
| between(u,v,X0) ),
inference(resolution,[status(thm)],[f197,f196]) ).
fof(f996,plain,
! [X0] :
( ~ between(u,X0,v)
| between(X0,v,x) ),
inference(resolution,[status(thm)],[f197,f154]) ).
fof(f1053,plain,
between(x,w,u),
inference(resolution,[status(thm)],[f198,f141]) ).
fof(f1673,plain,
between(u,w,x),
inference(resolution,[status(thm)],[f1053,f141]) ).
fof(f1687,plain,
! [X0] :
( ~ between(u,X0,w)
| between(X0,w,x) ),
inference(resolution,[status(thm)],[f1673,f154]) ).
fof(f2119,plain,
( spl0_106
<=> between(u,v,w) ),
introduced(split_symbol_definition) ).
fof(f2120,plain,
( between(u,v,w)
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f2119]) ).
fof(f4707,plain,
( spl0_256
<=> between(u,w,v) ),
introduced(split_symbol_definition) ).
fof(f4708,plain,
( between(u,w,v)
| ~ spl0_256 ),
inference(component_clause,[status(thm)],[f4707]) ).
fof(f4710,plain,
( between(u,w,v)
| between(u,v,w) ),
inference(resolution,[status(thm)],[f962,f1673]) ).
fof(f4711,plain,
( spl0_256
| spl0_106 ),
inference(split_clause,[status(thm)],[f4710,f4707,f2119]) ).
fof(f5392,plain,
( between(v,w,x)
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f2120,f1687]) ).
fof(f5393,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f5392,f199]) ).
fof(f5394,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f5393]) ).
fof(f5652,plain,
( spl0_327
<=> between(w,v,x) ),
introduced(split_symbol_definition) ).
fof(f5653,plain,
( between(w,v,x)
| ~ spl0_327 ),
inference(component_clause,[status(thm)],[f5652]) ).
fof(f5683,plain,
( $false
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[status(thm)],[f5653,f200]) ).
fof(f5684,plain,
~ spl0_327,
inference(contradiction_clause,[status(thm)],[f5683]) ).
fof(f5799,plain,
( between(w,v,x)
| ~ spl0_256 ),
inference(resolution,[status(thm)],[f996,f4708]) ).
fof(f5800,plain,
( spl0_327
| ~ spl0_256 ),
inference(split_clause,[status(thm)],[f5799,f5652,f4707]) ).
fof(f5810,plain,
$false,
inference(sat_refutation,[status(thm)],[f4711,f5394,f5684,f5800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO052-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n001.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 12:32:15 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.14/0.62 % Refutation found
% 0.14/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.55/0.63 % Elapsed time: 0.334031 seconds
% 1.55/0.63 % CPU time: 1.754396 seconds
% 1.55/0.63 % Memory used: 67.655 MB
%------------------------------------------------------------------------------