TSTP Solution File: GEO037-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO037-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:07:31 EDT 2023
% Result : Unsatisfiable 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% Number of atoms : 72 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 33 ~; 32 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 58 (; 58 !; 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(f3,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
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(f21,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(W,X,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,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(f64,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)],[f63]) ).
fof(f65,plain,
! [X,Y] :
( ! [Z] : ~ equidistant(X,Y,Z,Z)
| X = Y ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f68,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f139,plain,
lower_dimension_point_1 != lower_dimension_point_2,
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f142,plain,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f143,plain,
( spl0_0
<=> v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( spl0_1
<=> equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
introduced(split_symbol_definition) ).
fof(f148,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| spl0_1 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( spl0_2
<=> between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
introduced(split_symbol_definition) ).
fof(f151,plain,
( ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| spl0_2 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f142,f143,f146,f149]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X0,X1,X2)
| X1 = X2 ),
inference(resolution,[status(thm)],[f86,f66]) ).
fof(f201,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f67]) ).
fof(f202,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f201]) ).
fof(f205,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| ~ equidistant(X0,X1,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| spl0_1 ),
inference(resolution,[status(thm)],[f148,f64]) ).
fof(f211,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| ~ equidistant(x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),X0,X1)
| spl0_1 ),
inference(resolution,[status(thm)],[f205,f86]) ).
fof(f234,plain,
( equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_0 ),
inference(paramodulation,[status(thm)],[f144,f68]) ).
fof(f236,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f234,f162]) ).
fof(f237,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f139]) ).
fof(f238,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f237]) ).
fof(f276,plain,
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| spl0_1 ),
inference(resolution,[status(thm)],[f211,f68]) ).
fof(f283,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_1,lower_dimension_point_2)
| spl0_1 ),
inference(resolution,[status(thm)],[f276,f86]) ).
fof(f284,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f68]) ).
fof(f285,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f284]) ).
fof(f286,plain,
$false,
inference(sat_refutation,[status(thm)],[f152,f202,f238,f285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 12:15:17 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.59 % Elapsed time: 0.046935 seconds
% 0.18/0.59 % CPU time: 0.031179 seconds
% 0.18/0.59 % Memory used: 3.880 MB
%------------------------------------------------------------------------------