TSTP Solution File: CSR037+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR037+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:14:29 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 4 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 57 ( 26 ~; 21 |; 2 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,Y,Z] :
( ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
=> geographicalsubregions(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,conjecture,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f81,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f82,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f84,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f142,plain,
! [X,Y,Z] :
( ~ geographicalsubregions(X,Y)
| ~ geographicalsubregions(Y,Z)
| geographicalsubregions(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f143,plain,
! [X,Z] :
( ! [Y] :
( ~ geographicalsubregions(X,Y)
| ~ geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) ),
inference(miniscoping,[status(esa)],[f142]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ geographicalsubregions(X0,X1)
| ~ geographicalsubregions(X1,X2)
| geographicalsubregions(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f223,plain,
( mtvisible(c_tptpgeo_member7_mt)
& ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(pre_NNF_transformation,[status(esa)],[f67]) ).
fof(f224,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f225,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(cnf_transformation,[status(esa)],[f223]) ).
fof(f226,plain,
( spl0_0
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(split_symbol_definition) ).
fof(f228,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| spl0_0 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( spl0_1
<=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f82,f226,f229]) ).
fof(f233,plain,
( spl0_2
<=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
introduced(split_symbol_definition) ).
fof(f234,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( ~ spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f84,f226,f233]) ).
fof(f237,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f224]) ).
fof(f238,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f237]) ).
fof(f239,plain,
! [X0] :
( ~ geographicalsubregions(c_georegion_l2_x5_y8,X0)
| ~ geographicalsubregions(X0,c_georegion_l4_x45_y72) ),
inference(resolution,[status(thm)],[f144,f225]) ).
fof(f240,plain,
( ~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f239,f230]) ).
fof(f241,plain,
( $false
| ~ spl0_2
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f234]) ).
fof(f242,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f241]) ).
fof(f243,plain,
$false,
inference(sat_refutation,[status(thm)],[f232,f236,f238,f242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR037+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.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 : Mon Apr 29 23:56:31 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.020252 seconds
% 0.13/0.38 % CPU time: 0.020769 seconds
% 0.13/0.38 % Total memory used: 4.841 MB
% 0.13/0.38 % Net memory used: 4.700 MB
%------------------------------------------------------------------------------