TSTP Solution File: GEO066-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO066-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:17:00 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 17 unt; 0 def)
% Number of atoms : 69 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 28 ~; 26 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f7,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U,V,W,Y,X] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(V,inner_pasch(U,V,W,X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [U,V,W,Y,X] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(X,inner_pasch(U,V,W,X,Y),U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( ~ between(Z,X,Y)
| colinear(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
between(v,u,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
~ colinear(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X,Y] :
( ! [Z] : ~ equidistant(X,Y,Z,Z)
| X = Y ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f31,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f34,plain,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| colinear(X1,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f51,plain,
between(v,u,w),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f52,plain,
~ colinear(u,v,w),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f55,plain,
~ between(w,u,v),
inference(resolution,[status(thm)],[f49,f52]) ).
fof(f56,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(resolution,[status(thm)],[f31,f29]) ).
fof(f58,plain,
! [X0,X1] : between(X0,X1,X1),
inference(paramodulation,[status(thm)],[f56,f30]) ).
fof(f70,plain,
( spl0_0
<=> between(v,u,w) ),
introduced(split_symbol_definition) ).
fof(f72,plain,
( ~ between(v,u,w)
| spl0_0 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( spl0_1
<=> between(u,w,w) ),
introduced(split_symbol_definition) ).
fof(f75,plain,
( ~ between(u,w,w)
| spl0_1 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f81,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f75,f58]) ).
fof(f82,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f81]) ).
fof(f83,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f51]) ).
fof(f84,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f83]) ).
fof(f90,plain,
! [X0,X1] :
( ~ between(X0,X1,w)
| between(u,inner_pasch(X0,X1,w,u,v),X0) ),
inference(resolution,[status(thm)],[f36,f51]) ).
fof(f96,plain,
! [X0] : between(u,inner_pasch(X0,w,w,u,v),X0),
inference(resolution,[status(thm)],[f90,f58]) ).
fof(f101,plain,
u = inner_pasch(u,w,w,u,v),
inference(resolution,[status(thm)],[f96,f34]) ).
fof(f106,plain,
( spl0_3
<=> between(w,u,v) ),
introduced(split_symbol_definition) ).
fof(f107,plain,
( between(w,u,v)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( ~ between(u,w,w)
| ~ between(v,u,w)
| between(w,u,v) ),
inference(paramodulation,[status(thm)],[f101,f35]) ).
fof(f110,plain,
( ~ spl0_1
| ~ spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f109,f73,f70,f106]) ).
fof(f111,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f55]) ).
fof(f112,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f111]) ).
fof(f113,plain,
$false,
inference(sat_refutation,[status(thm)],[f82,f84,f110,f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO066-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.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 Apr 30 02:09:58 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.025086 seconds
% 0.13/0.37 % CPU time: 0.071839 seconds
% 0.13/0.37 % Total memory used: 13.214 MB
% 0.13/0.37 % Net memory used: 13.182 MB
%------------------------------------------------------------------------------