%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL792-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.27s 0.63s
% Output : CNFRefutation 0.27s
% 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 : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1191,axiom,
! [V_t,V_i] :
( ~ c_InductTermi_OIT(V_t)
| c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1192,axiom,
c_InductTermi_OIT(v_u____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1193,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3132,plain,
! [V_t] :
( ~ c_InductTermi_OIT(V_t)
| ! [V_i] : c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)) ),
inference(miniscoping,[status(thm)],[f1191]) ).
fof(f3133,plain,
! [X0,X1] :
( ~ c_InductTermi_OIT(X0)
| c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f3132]) ).
fof(f3134,plain,
c_InductTermi_OIT(v_u____),
inference(cnf_transformation,[status(thm)],[f1192]) ).
fof(f3135,plain,
~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
inference(cnf_transformation,[status(thm)],[f1193]) ).
fof(f3173,plain,
~ c_InductTermi_OIT(v_u____),
inference(resolution,[status(thm)],[f3133,f3135]) ).
fof(f3174,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3173,f3134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL792-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 01:04:34 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.27/0.59 % Drodi V4.1.1
% 0.27/0.63 % Refutation found
% 0.27/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.67 % Elapsed time: 0.202987 seconds
% 0.27/0.67 % CPU time: 0.231540 seconds
% 0.27/0.67 % Total memory used: 41.130 MB
% 0.27/0.67 % Net memory used: 40.884 MB
%------------------------------------------------------------------------------