%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR059+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 : n010.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 12:13:17 PM UTC 2026
% Result : Theorem 22.45s 5.23s
% Output : CNFRefutation 22.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 12 |; 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(f6006,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11126,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43084,axiom,
! [X,Y] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44217,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44218,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f51766,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(pre_NNF_transformation,[status(thm)],[f6006]) ).
fof(f51767,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(cnf_transformation,[status(thm)],[f51766]) ).
fof(f58177,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(cnf_transformation,[status(thm)],[f11126]) ).
fof(f108547,plain,
! [X,Y] :
( borderson(Y,X)
| ~ borderson(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f43084]) ).
fof(f108548,plain,
! [X0,X1] :
( borderson(X1,X0)
| ~ borderson(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f108547]) ).
fof(f110715,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(pre_NNF_transformation,[status(thm)],[f44208]) ).
fof(f110716,plain,
! [GENLMT] :
( mtvisible(GENLMT)
| ! [SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(miniscoping,[status(thm)],[f110715]) ).
fof(f110717,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(thm)],[f110716]) ).
fof(f110738,plain,
( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
& mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(pre_NNF_transformation,[status(thm)],[f44218]) ).
fof(f110739,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[status(thm)],[f110738]) ).
fof(f110740,plain,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(cnf_transformation,[status(thm)],[f110738]) ).
fof(f110743,plain,
( ~ mtvisible(c_tptpgeo_member5_mt)
| borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(resolution,[status(thm)],[f108548,f51767]) ).
fof(f110744,plain,
~ mtvisible(c_tptpgeo_member5_mt),
inference(forward_subsumption_resolution,[status(thm)],[f110743,f110740]) ).
fof(f110745,plain,
! [X0] :
( ~ genlmt(X0,c_tptpgeo_member5_mt)
| ~ mtvisible(X0) ),
inference(resolution,[status(thm)],[f110744,f110717]) ).
fof(f111232,plain,
~ mtvisible(c_tptpgeo_spindlecollectormt),
inference(resolution,[status(thm)],[f58177,f110745]) ).
fof(f111233,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f111232,f110739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR059+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 % Computer : n010.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Mon Sep 21 14:40:11 UTC 2026
% 0.22/0.48 % CPUTime :
% 1.81/2.06 % Drodi V4.1.1
% 22.45/5.23 % Refutation found
% 22.45/5.23 % SZS status Theorem for theBenchmark: Theorem is valid
% 22.45/5.23 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.60/5.67 % Elapsed time: 5.109287 seconds
% 2.60/5.67 % CPU time: 24.990441 seconds
% 2.60/5.67 % Total memory used: 1.926 GB
% 2.60/5.67 % Net memory used: 1.921 GB
%------------------------------------------------------------------------------