TSTP Solution File: GEO037-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 14 unt; 0 def)
% Number of atoms : 96 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 47 ~; 45 |; 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 : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 81 (; 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : equidistant(X,Y,Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,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/sandbox/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0,X1] : equidistant(X0,X1,X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,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(f22,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)],[f21]) ).
fof(f23,plain,
! [X,Y] :
( ! [Z] : ~ equidistant(X,Y,Z,Z)
| X = Y ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f26,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f34,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f42,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)],[f19]) ).
fof(f43,plain,
( spl0_0
<=> v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(split_symbol_definition) ).
fof(f44,plain,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,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(f48,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)],[f46]) ).
fof(f49,plain,
( spl0_2
<=> between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| spl0_2 ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f42,f43,f46,f49]) ).
fof(f53,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(resolution,[status(thm)],[f26,f24]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X4)
| X2 = X3 ),
inference(resolution,[status(thm)],[f22,f24]) ).
fof(f56,plain,
! [X0,X1] : between(X0,X1,X1),
inference(paramodulation,[status(thm)],[f53,f25]) ).
fof(f57,plain,
! [X0,X1,X2,X3,X4] :
( ~ equidistant(X0,extension(X1,X0,X2,X2),X3,X4)
| X3 = X4 ),
inference(resolution,[status(thm)],[f54,f26]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X0,X1,X2)
| X1 = X2 ),
inference(forward_demodulation,[status(thm)],[f53,f57]) ).
fof(f130,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f25]) ).
fof(f131,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f130]) ).
fof(f132,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)],[f48,f22]) ).
fof(f135,plain,
( ~ equidistant(extension(w,x,lower_dimension_point_1,lower_dimension_point_2),x,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| spl0_1 ),
inference(resolution,[status(thm)],[f132,f20]) ).
fof(f136,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),x)
| ~ equidistant(X0,X1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| spl0_1 ),
inference(resolution,[status(thm)],[f135,f22]) ).
fof(f143,plain,
( ~ equidistant(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),x)
| spl0_1 ),
inference(resolution,[status(thm)],[f136,f20]) ).
fof(f144,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
| ~ equidistant(X0,X1,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),x)
| spl0_1 ),
inference(resolution,[status(thm)],[f143,f22]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ equidistant(X0,X1,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
| ~ equidistant(X2,X3,X0,X1)
| ~ equidistant(X2,X3,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),x)
| spl0_1 ),
inference(resolution,[status(thm)],[f144,f22]) ).
fof(f616,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
| ~ equidistant(x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2),X0,X1)
| spl0_1 ),
inference(resolution,[status(thm)],[f150,f20]) ).
fof(f617,plain,
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
| spl0_1 ),
inference(resolution,[status(thm)],[f616,f26]) ).
fof(f620,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(X0,X1,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
| spl0_1 ),
inference(resolution,[status(thm)],[f617,f22]) ).
fof(f621,plain,
! [X0,X1] :
( ~ equidistant(X0,extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),extension(u,v,lower_dimension_point_1,lower_dimension_point_2),v)
| spl0_1 ),
inference(resolution,[status(thm)],[f620,f26]) ).
fof(f632,plain,
( $false
| spl0_1 ),
inference(resolution,[status(thm)],[f621,f20]) ).
fof(f633,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f642,plain,
( equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_0 ),
inference(paramodulation,[status(thm)],[f44,f26]) ).
fof(f645,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f642,f58]) ).
fof(f648,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f645,f34]) ).
fof(f649,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f648,f56]) ).
fof(f650,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f649]) ).
fof(f651,plain,
$false,
inference(sat_refutation,[status(thm)],[f52,f131,f633,f650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:58:48 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.34 % Refutation found
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.57 % Elapsed time: 0.035513 seconds
% 0.15/0.57 % CPU time: 0.059622 seconds
% 0.15/0.57 % Memory used: 6.291 MB
%------------------------------------------------------------------------------