TSTP Solution File: GEO036-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO036-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:16:53 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 51 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 17 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
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(f44,axiom,
! [U,V] : between(U,V,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U,V] : between(U,U,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,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(f71,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f72,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f111,plain,
! [X0,X1] : between(X0,X1,X1),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f115,plain,
! [X0,X1] : between(X0,X0,X1),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f136,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)],[f58]) ).
fof(f137,plain,
( spl0_0
<=> lower_dimension_point_1 = lower_dimension_point_2 ),
introduced(split_symbol_definition) ).
fof(f138,plain,
( lower_dimension_point_1 = lower_dimension_point_2
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( spl0_1
<=> lower_dimension_point_2 = lower_dimension_point_3 ),
introduced(split_symbol_definition) ).
fof(f141,plain,
( lower_dimension_point_2 = lower_dimension_point_3
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( spl0_2
<=> lower_dimension_point_1 = lower_dimension_point_3 ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( lower_dimension_point_1 = lower_dimension_point_3
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( spl0_0
| spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f136,f137,f140,f143]) ).
fof(f171,plain,
~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2),
inference(resolution,[status(thm)],[f114,f72]) ).
fof(f172,plain,
~ between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_1),
inference(resolution,[status(thm)],[f114,f71]) ).
fof(f196,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f144,f171]) ).
fof(f197,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f196,f115]) ).
fof(f198,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f138,f172]) ).
fof(f200,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f111]) ).
fof(f201,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f141,f171]) ).
fof(f204,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f203,f111]) ).
fof(f205,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f206,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f198,f201,f205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:49:55 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % 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
% 0.13/0.38 % Elapsed time: 0.023772 seconds
% 0.13/0.38 % CPU time: 0.040888 seconds
% 0.13/0.38 % Total memory used: 13.171 MB
% 0.13/0.38 % Net memory used: 13.143 MB
%------------------------------------------------------------------------------