%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR059-10 : TPTP v9.3.1. Released v7.3.0.
% 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 : Unsatisfiable 10.55s 2.16s
% Output : CNFRefutation 9.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq4(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq3(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f492,axiom,
ifeq4(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2382,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7575,axiom,
! [X,Y] : ifeq4(borderson(X,Y),true,borderson(Y,X),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7927,axiom,
! [SPECMT,GENLMT] : ifeq4(genlmt(SPECMT,GENLMT),true,ifeq4(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7936,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8011,negated_conjecture,
ifeq3(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true,a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8012,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8013,plain,
! [X0,X1,X2] : ifeq4(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8014,plain,
! [X0,X1,X2] : ifeq3(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8504,plain,
ifeq4(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true) = true,
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f10394,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt) = true,
inference(cnf_transformation,[status(thm)],[f2382]) ).
fof(f15587,plain,
! [X0,X1] : ifeq4(borderson(X0,X1),true,borderson(X1,X0),true) = true,
inference(cnf_transformation,[status(thm)],[f7575]) ).
fof(f15939,plain,
! [X0,X1] : ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true) = true,
inference(cnf_transformation,[status(thm)],[f7927]) ).
fof(f15948,plain,
mtvisible(c_tptpgeo_spindlecollectormt) = true,
inference(cnf_transformation,[status(thm)],[f7936]) ).
fof(f16023,plain,
ifeq3(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true,a,b) = b,
inference(cnf_transformation,[status(thm)],[f8011]) ).
fof(f16024,plain,
a != b,
inference(cnf_transformation,[status(thm)],[f8012]) ).
fof(f16032,plain,
! [X0] : ifeq4(genlmt(c_tptpgeo_spindlecollectormt,X0),true,ifeq4(true,true,mtvisible(X0),true),true) = true,
inference(paramodulation,[status(thm)],[f15948,f15939]) ).
fof(f16087,plain,
! [X0] : ifeq4(genlmt(c_tptpgeo_spindlecollectormt,X0),true,mtvisible(X0),true) = true,
inference(forward_demodulation,[status(thm)],[f8013,f16032]) ).
fof(f22242,plain,
ifeq4(true,true,mtvisible(c_tptpgeo_member5_mt),true) = true,
inference(paramodulation,[status(thm)],[f10394,f16087]) ).
fof(f22244,plain,
mtvisible(c_tptpgeo_member5_mt) = true,
inference(forward_demodulation,[status(thm)],[f8013,f22242]) ).
fof(f22248,plain,
ifeq4(true,true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true) = true,
inference(backward_demodulation,[status(thm)],[f22244,f8504]) ).
fof(f22278,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) = true,
inference(forward_demodulation,[status(thm)],[f8013,f22248]) ).
fof(f22301,plain,
ifeq4(true,true,borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true) = true,
inference(paramodulation,[status(thm)],[f22278,f15587]) ).
fof(f22304,plain,
borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) = true,
inference(forward_demodulation,[status(thm)],[f8013,f22301]) ).
fof(f22317,plain,
ifeq3(true,true,a,b) = b,
inference(backward_demodulation,[status(thm)],[f22304,f16023]) ).
fof(f22322,plain,
a = b,
inference(forward_demodulation,[status(thm)],[f8014,f22317]) ).
fof(f22323,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f22322,f16024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR059-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n001.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 14:44:45 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.37/0.69 % Drodi V4.1.1
% 10.55/2.16 % Refutation found
% 10.55/2.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.55/2.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.16/2.35 % Elapsed time: 1.892266 seconds
% 1.16/2.35 % CPU time: 12.161276 seconds
% 1.16/2.35 % Total memory used: 504.284 MB
% 1.16/2.35 % Net memory used: 503.336 MB
%------------------------------------------------------------------------------