%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV689-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:49:21 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.61s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f750,axiom,
! [V_j,V_n,V_k] :
( ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f761,axiom,
c_HOL_Oord__class_Oless(v_i,v_n,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f768,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1992,plain,
! [V_j,V_k] :
( ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
| ! [V_n] : c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) ),
inference(miniscoping,[status(thm)],[f750]) ).
fof(f1993,plain,
! [X0,X1,X2] :
( ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f1992]) ).
fof(f2009,plain,
c_HOL_Oord__class_Oless(v_i,v_n,tc_nat),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f2020,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f2265,plain,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,X0,tc_nat),v_n,tc_nat),
inference(resolution,[status(thm)],[f1993,f2009]) ).
fof(f2270,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f2020,f2265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV689-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.46 % Computer : n013.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Mon Sep 21 09:19:07 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.22/0.59 % Drodi V4.1.1
% 0.22/0.61 % Refutation found
% 0.22/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.70 % Elapsed time: 0.217721 seconds
% 0.22/0.70 % CPU time: 0.203034 seconds
% 0.22/0.70 % Total memory used: 26.841 MB
% 0.22/0.70 % Net memory used: 26.733 MB
%------------------------------------------------------------------------------