%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR059+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:13:16 PM UTC 2026
% Result : Theorem 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 16 ~; 13 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f407,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f900,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1283,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f104]) ).
fof(f1284,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(cnf_transformation,[status(thm)],[f1283]) ).
fof(f1727,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f2695,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f900]) ).
fof(f2696,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2695]) ).
fof(f3181,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f1123]) ).
fof(f3182,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f3181]) ).
fof(f3183,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f3182]) ).
fof(f3204,plain,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(pre_NNF_transformation,[status(thm)],[f1133]) ).
fof(f3205,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3206,plain,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(cnf_transformation,[status(thm)],[f3204]) ).
fof(f3207,plain,
! [X0] :
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ genlmt(X0,c_tptpgeo_member5_mt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f3183,f1284]) ).
fof(f3235,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(resolution,[status(thm)],[f1727,f3207]) ).
fof(f3236,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(forward_subsumption_resolution,[status(thm)],[f3235,f3205]) ).
fof(f3237,plain,
borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(resolution,[status(thm)],[f3236,f2696]) ).
fof(f3238,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3237,f3206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR059+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 14:45:30 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.15/0.41 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.46 % Elapsed time: 0.081267 seconds
% 0.15/0.46 % CPU time: 0.137925 seconds
% 0.15/0.46 % Total memory used: 23.271 MB
% 0.15/0.46 % Net memory used: 23.240 MB
%------------------------------------------------------------------------------