%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 01:08:48 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.57s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 16 unt; 0 def)
% Number of atoms : 20 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-5 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f194,axiom,
! [V_e,V_i,V_T] :
( ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T)
| hAPP(V_e,V_i) = V_T ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,axiom,
! [V_e,V_x,V_T,T_a] : hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f226,axiom,
! [V_f,V_x,V_xs,T_b,V_a,T_a] : c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f230,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f240,negated_conjecture,
v_T____ != hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f509,plain,
! [X0,X1,X2] :
( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2)
| hAPP(X0,X1) = X2 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f510,plain,
v_n____ = v_i____,
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f511,plain,
! [X0,X1,X2,X3] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f558,plain,
! [X0,X1,X2,X3,X4,X5] : c_List_Ofoldr(X0,c_List_Olist_OCons(X1,X2,X3),X4,X3,X5) = hAPP(hAPP(X0,X1),c_List_Ofoldr(X0,X2,X4,X3,X5)),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f564,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f576,plain,
v_T____ != hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f587,plain,
v_T____ != c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype),
inference(paramodulation,[status(thm)],[f558,f576]) ).
fof(f656,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(paramodulation,[status(thm)],[f558,f564]) ).
fof(f1455,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(forward_demodulation,[status(thm)],[f510,f656]) ).
fof(f1936,plain,
hAPP(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_i____) = c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype),
inference(resolution,[status(thm)],[f509,f1455]) ).
fof(f1939,plain,
v_T____ = c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype),
inference(forward_demodulation,[status(thm)],[f511,f1936]) ).
fof(f1940,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1939,f587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:05:03 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.57 % Refutation found
% 0.12/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.57 % Elapsed time: 0.212514 seconds
% 0.12/0.57 % CPU time: 1.331994 seconds
% 0.12/0.57 % Total memory used: 148.102 MB
% 0.12/0.57 % Net memory used: 147.455 MB
%------------------------------------------------------------------------------