TSTP Solution File: GEO059-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO059-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Tue Apr 30 20:16:58 EDT 2024
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 15 unt; 0 def)
% Number of atoms : 72 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 32 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,Z,V,V2,W] :
( ~ equidistant(X,Y,Z,V)
| ~ equidistant(X,Y,V2,W)
| equidistant(Z,V,V2,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [U,V] : reflection(U,V) = extension(U,V,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(W,X,V,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(X,W,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [V,U] : equidistant(V,reflection(U,V),U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [U,V] :
( U != V
| V = reflection(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [U,V] : equidistant(U,U,V,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [U,V] :
( extension(U,V,U,V) = extension(U,V,V,U)
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,plain,
! [Z,V,V2,W] :
( ! [X,Y] :
( ~ equidistant(X,Y,Z,V)
| ~ equidistant(X,Y,V2,W) )
| equidistant(Z,V,V2,W) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f49,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f65,plain,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f80,plain,
! [X0,X1] : equidistant(X0,reflection(X1,X0),X1,X0),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f81,plain,
! [X0,X1] :
( X0 != X1
| X1 = reflection(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f84,plain,
! [X0,X1] : equidistant(X0,X0,X1,X1),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f92,plain,
! [X0,X1] :
( extension(X0,X1,X0,X1) = extension(X0,X1,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f93,plain,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f95,plain,
! [X0] : X0 = reflection(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f81]) ).
fof(f96,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,v,u)
| ~ equidistant(X0,X1,v,reflection(reflection(u,v),v)) ),
inference(resolution,[status(thm)],[f45,f93]) ).
fof(f121,plain,
~ equidistant(reflection(reflection(u,v),v),v,v,u),
inference(resolution,[status(thm)],[f71,f93]) ).
fof(f133,plain,
! [X0,X1] :
( reflection(X0,X1) = extension(X0,X1,X1,X0)
| X0 = X1 ),
inference(forward_demodulation,[status(thm)],[f65,f92]) ).
fof(f134,plain,
! [X0,X1] :
( equidistant(X0,reflection(X1,X0),X0,X1)
| X1 = X0 ),
inference(paramodulation,[status(thm)],[f133,f49]) ).
fof(f186,plain,
( spl0_0
<=> equidistant(v,reflection(u,v),v,reflection(reflection(u,v),v)) ),
introduced(split_symbol_definition) ).
fof(f188,plain,
( ~ equidistant(v,reflection(u,v),v,reflection(reflection(u,v),v))
| spl0_0 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( spl0_1
<=> u = v ),
introduced(split_symbol_definition) ).
fof(f190,plain,
( u = v
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( ~ equidistant(v,reflection(u,v),v,reflection(reflection(u,v),v))
| u = v ),
inference(resolution,[status(thm)],[f96,f134]) ).
fof(f193,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f192,f186,f189]) ).
fof(f206,plain,
( ~ equidistant(v,reflection(reflection(u,v),v),reflection(u,v),v)
| spl0_0 ),
inference(resolution,[status(thm)],[f188,f72]) ).
fof(f207,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f206,f80]) ).
fof(f208,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f207]) ).
fof(f214,plain,
( ~ equidistant(reflection(reflection(u,v),v),v,v,v)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f190,f121]) ).
fof(f215,plain,
( ~ equidistant(reflection(reflection(v,v),v),v,v,v)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f190,f214]) ).
fof(f216,plain,
( ~ equidistant(reflection(v,v),v,v,v)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f95,f215]) ).
fof(f217,plain,
( ~ equidistant(v,v,v,v)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f95,f216]) ).
fof(f218,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f84]) ).
fof(f219,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f218]) ).
fof(f220,plain,
$false,
inference(sat_refutation,[status(thm)],[f193,f208,f219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO059-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n027.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 : Tue Apr 30 02:07:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.051783 seconds
% 0.13/0.41 % CPU time: 0.225469 seconds
% 0.13/0.41 % Total memory used: 47.089 MB
% 0.13/0.41 % Net memory used: 46.966 MB
%------------------------------------------------------------------------------