%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR037+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:13:00 PM UTC 2026
% Result : Theorem 27.99s 4.57s
% Output : CNFRefutation 27.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 4 unt; 3 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 59 ( 26 ~; 23 |; 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(f10648,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(f12361,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(f44144,axiom,
! [X,Y,Z] :
( ( geographicalsubregions(Y,Z)
& geographicalsubregions(X,Y) )
=> geographicalsubregions(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44217,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(f44218,negated_conjecture,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f57579,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f10648]) ).
fof(f57580,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(thm)],[f57579]) ).
fof(f59723,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f12361]) ).
fof(f59724,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(cnf_transformation,[status(thm)],[f59723]) ).
fof(f110600,plain,
! [X,Y,Z] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f44144]) ).
fof(f110601,plain,
! [X,Z] :
( geographicalsubregions(X,Z)
| ! [Y] :
( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) ),
inference(miniscoping,[status(thm)],[f110600]) ).
fof(f110602,plain,
! [X0,X1,X2] :
( geographicalsubregions(X0,X2)
| ~ geographicalsubregions(X1,X2)
| ~ geographicalsubregions(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f110601]) ).
fof(f110738,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
& mtvisible(c_tptpgeo_member7_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f44218]) ).
fof(f110739,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(cnf_transformation,[status(thm)],[f110738]) ).
fof(f110740,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(cnf_transformation,[status(thm)],[f110738]) ).
fof(f111015,definition,
( sQ75_spl
<=> mtvisible(c_tptpgeo_member7_mt) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f111017,plain,
( sQ75_spl
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(component_clause,[status(thm)],[f111015]) ).
fof(f113556,definition,
( sQ733_spl
<=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
introduced(definition,[new_symbols(definition,[sQ733_spl])],[split_symbol_definition]) ).
fof(f113557,plain,
( ~ sQ733_spl
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(component_clause,[status(thm)],[f113556]) ).
fof(f113559,plain,
( sQ733_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f57580,f111015,f113556]) ).
fof(f114064,definition,
( sQ863_spl
<=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
introduced(definition,[new_symbols(definition,[sQ863_spl])],[split_symbol_definition]) ).
fof(f114065,plain,
( ~ sQ863_spl
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(component_clause,[status(thm)],[f114064]) ).
fof(f114067,plain,
( sQ863_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f59724,f111015,f114064]) ).
fof(f118220,plain,
( sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f111017,f110739]) ).
fof(f118221,plain,
sQ75_spl,
inference(contradiction_clause,[status(thm)],[f118220]) ).
fof(f118222,plain,
! [X0] :
( ~ sQ733_spl
| geographicalsubregions(X0,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(X0,c_georegion_l3_x15_y24) ),
inference(resolution,[status(thm)],[f113557,f110602]) ).
fof(f118236,plain,
( ~ sQ733_spl
| ~ sQ863_spl
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(resolution,[status(thm)],[f114065,f118222]) ).
fof(f118238,plain,
( ~ sQ733_spl
| ~ sQ863_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f118236,f110740]) ).
fof(f118239,plain,
( ~ sQ733_spl
| ~ sQ863_spl ),
inference(contradiction_clause,[status(thm)],[f118238]) ).
fof(f118240,plain,
$false,
inference(sat_refutation,[status(thm)],[f113559,f114067,f118221,f118239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR037+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44 % Computer : n001.cluster.edu
% 0.11/0.44 % Model : x86_64 x86_64
% 0.11/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.44 % Memory : 8046.5625MB
% 0.11/0.44 % OS : Linux 6.8.0-71-generic
% 0.11/0.44 % CPULimit : 300
% 0.11/0.44 % WCLimit : 300
% 0.11/0.44 % DateTime : Mon Sep 21 14:35:14 UTC 2026
% 0.11/0.45 % CPUTime :
% 0.60/0.92 % Drodi V4.1.1
% 27.99/4.57 % Refutation found
% 27.99/4.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 27.99/4.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.23/5.03 % Elapsed time: 4.517563 seconds
% 1.23/5.03 % CPU time: 29.875878 seconds
% 1.23/5.03 % Total memory used: 1.911 GB
% 1.23/5.03 % Net memory used: 1.903 GB
%------------------------------------------------------------------------------