TSTP Solution File: GEO053-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO053-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:07:36 EDT 2023
% Result : Unsatisfiable 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 21 unt; 0 def)
% Number of atoms : 84 ( 42 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 29 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 88 (; 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f20,axiom,
! [U1,W1,U,V] : insertion(U1,W1,U,V) = extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(W,X,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| U = V
| W = extension(U,V,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W,X,Y,Z,U,V] :
( ~ equidistant(W,X,Y,Z)
| extension(U,V,W,X) = extension(U,V,Y,Z)
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [U,V] : between(U,V,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [V,U] : V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| V = insertion(U,W,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,hypothesis,
equidistant(u,v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,plain,
! [X,Y] :
( ! [Z] : ~ equidistant(X,Y,Z,Z)
| X = Y ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f91,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
! [X0,X1,X2,X3] : insertion(X0,X1,X2,X3) = extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| X0 = X1
| X2 = extension(X0,X1,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f134,plain,
! [U,V] :
( ! [W,X,Y,Z] :
( ~ equidistant(W,X,Y,Z)
| extension(U,V,W,X) = extension(U,V,Y,Z) )
| U = V ),
inference(miniscoping,[status(esa)],[f41]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| extension(X4,X5,X0,X1) = extension(X4,X5,X2,X3)
| X4 = X5 ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f139,plain,
! [X0,X1] : between(X0,X1,X1),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f167,plain,
! [X0,X1] : X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f185,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| X1 = insertion(X0,X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f202,plain,
between(u,v,w),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f203,plain,
equidistant(u,v,u,w),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f204,plain,
v != w,
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X0,X1,X2)
| X1 = X2 ),
inference(resolution,[status(thm)],[f111,f90]) ).
fof(f269,plain,
( spl0_1
<=> v = u ),
introduced(split_symbol_definition) ).
fof(f270,plain,
( v = u
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f307,plain,
! [X0,X1,X2,X3] : X0 = insertion(X1,extension(X1,X0,X2,X3),X1,X0),
inference(resolution,[status(thm)],[f185,f91]) ).
fof(f311,plain,
! [X0,X1] : X0 = insertion(X1,X0,X1,X0),
inference(resolution,[status(thm)],[f185,f139]) ).
fof(f427,plain,
( spl0_7
<=> w = extension(u,v,v,w) ),
introduced(split_symbol_definition) ).
fof(f428,plain,
( w = extension(u,v,v,w)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( u = v
| w = extension(u,v,v,w) ),
inference(resolution,[status(thm)],[f133,f202]) ).
fof(f431,plain,
( spl0_1
| spl0_7 ),
inference(split_clause,[status(thm)],[f430,f269,f427]) ).
fof(f609,plain,
( equidistant(u,u,u,w)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f270,f203]) ).
fof(f611,plain,
( u != w
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f270,f204]) ).
fof(f634,plain,
( u = w
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f609,f243]) ).
fof(f635,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f611]) ).
fof(f636,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f635]) ).
fof(f662,plain,
( v = insertion(u,w,u,v)
| ~ spl0_7 ),
inference(paramodulation,[status(thm)],[f428,f307]) ).
fof(f1013,plain,
! [X0,X1] :
( extension(X0,X1,u,v) = extension(X0,X1,u,w)
| X0 = X1 ),
inference(resolution,[status(thm)],[f135,f203]) ).
fof(f1471,plain,
! [X0,X1] :
( extension(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,u,v) = insertion(X1,X0,u,w)
| extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) = X1 ),
inference(paramodulation,[status(thm)],[f109,f1013]) ).
fof(f1472,plain,
! [X0,X1] :
( insertion(X0,X1,u,v) = insertion(X0,X1,u,w)
| extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2) = X0 ),
inference(forward_demodulation,[status(thm)],[f109,f1471]) ).
fof(f1473,plain,
! [X0,X1] : insertion(X0,X1,u,v) = insertion(X0,X1,u,w),
inference(forward_subsumption_resolution,[status(thm)],[f1472,f167]) ).
fof(f1504,plain,
insertion(u,w,u,v) = w,
inference(paramodulation,[status(thm)],[f311,f1473]) ).
fof(f1505,plain,
( v = w
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f662,f1504]) ).
fof(f1506,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f204]) ).
fof(f1507,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f1506]) ).
fof(f1508,plain,
$false,
inference(sat_refutation,[status(thm)],[f431,f636,f1507]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO053-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.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 : Tue May 30 11:54:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.42 % Refutation found
% 0.19/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.43 % Elapsed time: 0.086057 seconds
% 0.19/0.43 % CPU time: 0.533842 seconds
% 0.19/0.43 % Memory used: 43.988 MB
%------------------------------------------------------------------------------