TSTP Solution File: GEO036-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO036-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 0.13s 0.37s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% Number of atoms : 79 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 71 ( 36 ~; 32 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 72 (; 72 !; 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(f5,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_2 = lower_dimension_point_3
| lower_dimension_point_1 = lower_dimension_point_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f29,plain,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f30,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(f31,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(f33,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[status(esa)],[f11]) ).
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,
( lower_dimension_point_1 = lower_dimension_point_2
| lower_dimension_point_2 = lower_dimension_point_3
| lower_dimension_point_1 = lower_dimension_point_3 ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f43,plain,
( spl0_0
<=> lower_dimension_point_1 = lower_dimension_point_2 ),
introduced(split_symbol_definition) ).
fof(f44,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,plain,
( spl0_1
<=> lower_dimension_point_2 = lower_dimension_point_3 ),
introduced(split_symbol_definition) ).
fof(f47,plain,
( lower_dimension_point_2 = lower_dimension_point_3
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( spl0_2
<=> lower_dimension_point_1 = lower_dimension_point_3 ),
introduced(split_symbol_definition) ).
fof(f50,plain,
( lower_dimension_point_1 = lower_dimension_point_3
| ~ 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(f54,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(resolution,[status(thm)],[f26,f24]) ).
fof(f56,plain,
! [X0,X1] : between(X0,X1,X1),
inference(paramodulation,[status(thm)],[f54,f25]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| X1 = inner_pasch(X0,X1,X2,X3,X1) ),
inference(resolution,[status(thm)],[f30,f29]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| X1 = inner_pasch(X0,X1,X2,X2,X1) ),
inference(resolution,[status(thm)],[f66,f56]) ).
fof(f72,plain,
! [X0,X1] : X0 = inner_pasch(X1,X0,X0,X0,X0),
inference(resolution,[status(thm)],[f69,f56]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| between(X2,inner_pasch(X0,X1,X2,X2,X3),X0) ),
inference(resolution,[status(thm)],[f31,f56]) ).
fof(f91,plain,
! [X0,X1,X2] : between(X0,inner_pasch(X1,X0,X0,X0,X2),X1),
inference(resolution,[status(thm)],[f88,f56]) ).
fof(f98,plain,
! [X0,X1] : between(X0,X0,X1),
inference(paramodulation,[status(thm)],[f72,f91]) ).
fof(f135,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f50,f34]) ).
fof(f136,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f135,f98]) ).
fof(f137,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f44,f34]) ).
fof(f139,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f138,f56]) ).
fof(f140,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f47,f33]) ).
fof(f143,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f98]) ).
fof(f144,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f143]) ).
fof(f145,plain,
$false,
inference(sat_refutation,[status(thm)],[f52,f137,f140,f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO036-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n020.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 12:00:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.31/0.66 % Elapsed time: 0.092107 seconds
% 0.31/0.66 % CPU time: 0.033220 seconds
% 0.31/0.66 % Memory used: 2.954 MB
%------------------------------------------------------------------------------