%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL793-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 01:08:49 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.56s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1063,axiom,
! [V_t,V_i] :
( ~ c_InductTermi_OIT(V_t)
| c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1066,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1067,axiom,
! [V_t,V_i] :
( ~ c_InductTermi_OIT(V_t)
| c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1070,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2792,plain,
! [V_t] :
( ~ c_InductTermi_OIT(V_t)
| ! [V_i] : c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)) ),
inference(miniscoping,[status(thm)],[f1063]) ).
fof(f2793,plain,
! [X0,X1] :
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f2792]) ).
fof(f2796,plain,
c_InductTermi_OIT(v_u____),
inference(cnf_transformation,[status(thm)],[f1066]) ).
fof(f2797,plain,
! [V_t] :
( ~ c_InductTermi_OIT(V_t)
| ! [V_i] : c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i))) ),
inference(miniscoping,[status(thm)],[f1067]) ).
fof(f2798,plain,
! [X0,X1] :
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1))) ),
inference(cnf_transformation,[status(thm)],[f2797]) ).
fof(f2801,plain,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(cnf_transformation,[status(thm)],[f1070]) ).
fof(f2841,plain,
! [X0] : c_InductTermi_OIT(c_Lambda_Olift(v_u____,X0)),
inference(resolution,[status(thm)],[f2793,f2796]) ).
fof(f2859,plain,
! [X0,X1] : c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,X0),c_Lambda_OdB_OVar(X1))),
inference(resolution,[status(thm)],[f2798,f2841]) ).
fof(f2900,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f2801,f2859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL793-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 01:09:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.24/0.49 % Drodi V4.1.1
% 0.24/0.56 % Refutation found
% 0.24/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.59 % Elapsed time: 0.204613 seconds
% 0.24/0.59 % CPU time: 0.498580 seconds
% 0.24/0.59 % Total memory used: 129.320 MB
% 0.24/0.59 % Net memory used: 128.769 MB
%------------------------------------------------------------------------------