%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 01:08:59 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.46s
% Output : CNFRefutation 0.22s
% 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 : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f901,axiom,
! [V_e,V_i,V_U,V_t,V_T] :
( ~ c_Type_Otyping(V_e,V_t,V_T)
| c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f905,axiom,
c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f906,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2425,plain,
! [V_e,V_t,V_T] :
( ~ c_Type_Otyping(V_e,V_t,V_T)
| ! [V_i,V_U] : c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T) ),
inference(miniscoping,[status(thm)],[f901]) ).
fof(f2426,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_Type_Otyping(X0,X3,X4)
| c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4) ),
inference(cnf_transformation,[status(thm)],[f2425]) ).
fof(f2432,plain,
c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f2433,plain,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
inference(cnf_transformation,[status(thm)],[f906]) ).
fof(f2482,plain,
~ c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
inference(resolution,[status(thm)],[f2426,f2433]) ).
fof(f2483,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2482,f2432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:08:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.43 % Drodi V4.1.1
% 0.22/0.46 % Refutation found
% 0.22/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.50 % Elapsed time: 0.124190 seconds
% 0.22/0.50 % CPU time: 0.275541 seconds
% 0.22/0.50 % Total memory used: 150.091 MB
% 0.22/0.50 % Net memory used: 149.414 MB
%------------------------------------------------------------------------------