%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL756-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:08:43 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.59s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f724,negated_conjecture,
! [V_i,V_j] : c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(V_i),V_j)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f725,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1916,plain,
! [X0,X1] : c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)),
inference(cnf_transformation,[status(thm)],[f724]) ).
fof(f1917,plain,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja))),
inference(cnf_transformation,[status(thm)],[f725]) ).
fof(f1949,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1917,f1916]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 01:05:51 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.26/0.56 % Drodi V4.1.1
% 0.26/0.59 % Refutation found
% 0.26/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/0.68 % Elapsed time: 0.222512 seconds
% 0.32/0.68 % CPU time: 0.194837 seconds
% 0.32/0.68 % Total memory used: 17.342 MB
% 0.32/0.68 % Net memory used: 17.275 MB
%------------------------------------------------------------------------------