%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL774-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 01:08:46 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.48s
% Output : CNFRefutation 0.15s
% 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 : 2 ( 2 avg)
% Maximal term depth : 2 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f350,axiom,
! [V_n] : c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f360,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OVar(v_i)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f933,plain,
! [X0] : c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f945,plain,
~ c_InductTermi_OIT(c_Lambda_OdB_OVar(v_i)),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f968,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f945,f933]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL774-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n007.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 01:01:20 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 0.15/0.48 % Refutation found
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.52 % Elapsed time: 0.083672 seconds
% 0.24/0.52 % CPU time: 0.227835 seconds
% 0.24/0.52 % Total memory used: 119.299 MB
% 0.24/0.52 % Net memory used: 119.095 MB
%------------------------------------------------------------------------------