%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 01:09:00 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.53s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,axiom,
! [V_t] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,V_t))
| c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f170,axiom,
! [V_t,V_e,V_T] :
( ~ c_Type_Otyping(V_e,V_t,V_T)
| hBOOL(hAPP(c_InductTermi_OIT,V_t)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f172,negated_conjecture,
c_Type_Otyping(v_e,v_t,v_T),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f173,negated_conjecture,
~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f409,plain,
! [X0] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f461,plain,
! [V_t] :
( ! [V_e,V_T] : ~ c_Type_Otyping(V_e,V_t,V_T)
| hBOOL(hAPP(c_InductTermi_OIT,V_t)) ),
inference(miniscoping,[status(thm)],[f170]) ).
fof(f462,plain,
! [X0,X1,X2] :
( ~ c_Type_Otyping(X1,X0,X2)
| hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
inference(cnf_transformation,[status(thm)],[f461]) ).
fof(f464,plain,
c_Type_Otyping(v_e,v_t,v_T),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f465,plain,
~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f610,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(resolution,[status(thm)],[f462,f464]) ).
fof(f1031,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(resolution,[status(thm)],[f409,f465]) ).
fof(f1037,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1031,f610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:08:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.53 % Refutation found
% 0.09/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.54 % Elapsed time: 0.181957 seconds
% 0.09/0.54 % CPU time: 1.152062 seconds
% 0.09/0.54 % Total memory used: 138.658 MB
% 0.09/0.54 % Net memory used: 137.568 MB
%------------------------------------------------------------------------------