TSTP Solution File: GEO029-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO029-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:07:29 EDT 2023
% Result : Unsatisfiable 10.19s 1.75s
% Output : CNFRefutation 10.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 25 unt; 0 def)
% Number of atoms : 80 ( 24 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 66 ( 31 ~; 33 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 118 (; 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : equidistant(X,Y,Y,X),
file('/export/starexec/sandbox2/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/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(f19,axiom,
! [U,V] : reflection(U,V) = extension(U,V,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [U,V] : equidistant(U,V,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [U,V] : between(U,V,reflection(U,V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(U,V,X)
| ~ equidistant(V,W,V,X)
| U = V
| W = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,hypothesis,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
extension(u,v,u,v) != extension(u,v,v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,plain,
! [X0,X1] : equidistant(X0,X1,X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f42,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(f43,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)],[f42]) ).
fof(f46,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f47,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f63,plain,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f64,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f77,plain,
! [X0,X1] : between(X0,X1,reflection(X0,X1)),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f85,plain,
! [W,X] :
( ! [U,V] :
( ~ between(U,V,W)
| ~ between(U,V,X)
| ~ equidistant(V,W,V,X)
| U = V )
| W = X ),
inference(miniscoping,[status(esa)],[f38]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X0,X1,X3)
| ~ equidistant(X1,X2,X1,X3)
| X0 = X1
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f87,plain,
u != v,
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f88,plain,
extension(u,v,u,v) != extension(u,v,v,u),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X2,X3,X4,X5) ),
inference(resolution,[status(thm)],[f43,f47]) ).
fof(f105,plain,
! [X0,X1,X2,X3] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[status(thm)],[f101,f64]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X0,X1),X2,X3) ),
inference(resolution,[status(thm)],[f105,f43]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4,X5] : equidistant(X0,extension(X1,X0,X2,X3),X4,extension(X5,X4,X2,X3)),
inference(resolution,[status(thm)],[f114,f105]) ).
fof(f141,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X3,X2),
inference(resolution,[status(thm)],[f114,f41]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X3,X2,X4,X5) ),
inference(resolution,[status(thm)],[f141,f43]) ).
fof(f294,plain,
! [X0,X1,X2,X3] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)),
inference(resolution,[status(thm)],[f146,f139]) ).
fof(f319,plain,
! [X0,X1,X2,X3,X4,X5] : equidistant(X0,extension(X1,X0,X2,X3),X4,extension(X5,X4,X3,X2)),
inference(resolution,[status(thm)],[f294,f114]) ).
fof(f1405,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,reflection(X3,X2)),
inference(paramodulation,[status(thm)],[f63,f319]) ).
fof(f2905,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ equidistant(X1,extension(X0,X1,X3,X4),X1,X2)
| X0 = X1
| extension(X0,X1,X3,X4) = X2 ),
inference(resolution,[status(thm)],[f86,f46]) ).
fof(f4694,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,reflection(X2,X1))
| X0 = X1
| extension(X0,X1,X1,X2) = reflection(X2,X1) ),
inference(resolution,[status(thm)],[f2905,f1405]) ).
fof(f8063,plain,
! [X0,X1] :
( X0 = X1
| extension(X0,X1,X1,X0) = reflection(X0,X1) ),
inference(resolution,[status(thm)],[f4694,f77]) ).
fof(f8068,plain,
( spl0_0
<=> extension(u,v,u,v) = reflection(u,v) ),
introduced(split_symbol_definition) ).
fof(f8070,plain,
( extension(u,v,u,v) != reflection(u,v)
| spl0_0 ),
inference(component_clause,[status(thm)],[f8068]) ).
fof(f8071,plain,
( spl0_1
<=> u = v ),
introduced(split_symbol_definition) ).
fof(f8072,plain,
( u = v
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f8071]) ).
fof(f8074,plain,
( extension(u,v,u,v) != reflection(u,v)
| u = v ),
inference(paramodulation,[status(thm)],[f8063,f88]) ).
fof(f8075,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f8074,f8068,f8071]) ).
fof(f8302,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f8070,f63]) ).
fof(f8303,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f8302]) ).
fof(f8304,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f8072,f87]) ).
fof(f8305,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f8304]) ).
fof(f8306,plain,
$false,
inference(sat_refutation,[status(thm)],[f8075,f8303,f8305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO029-3 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n025.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue May 30 12:13:57 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.08/0.31 % Drodi V3.5.1
% 10.19/1.75 % Refutation found
% 10.19/1.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.19/1.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.81/1.79 % Elapsed time: 1.469567 seconds
% 10.81/1.79 % CPU time: 10.860818 seconds
% 10.81/1.79 % Memory used: 105.211 MB
%------------------------------------------------------------------------------