%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -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 01:11:07 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % Computer : n004.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 01:04:05 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 0.24/0.81 % Refutation found
% 0.24/0.81 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.81 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.81 fof(f194,axiom,(
% 0.24/0.81 (![V_e,V_i,V_T]: (( hAPP(V_e,V_i) = V_T| ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ))),
% 0.24/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.81 fof(f195,axiom,(
% 0.24/0.81 v_n____ = v_i____ ),
% 0.24/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.81 fof(f196,axiom,(
% 0.24/0.81 (![V_e,V_x,V_T,T_a]: (hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ))),
% 0.24/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.81 fof(f226,axiom,(
% 0.24/0.81 (![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)) ))),
% 0.24/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.81 fof(f230,axiom,(
% 0.24/0.81 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))) ),
% 0.24/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.81 fof(f240,negated_conjecture,(
% 0.24/0.81 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)) ),
% 0.24/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.81 fof(f509,plain,(
% 0.24/0.81 ![X0,X1,X2]: (hAPP(X0,X1)=X2|~c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2))),
% 0.24/0.81 inference(cnf_transformation,[status(thm)],[f194])).
% 0.24/0.81 fof(f510,plain,(
% 0.24/0.81 v_n____=v_i____),
% 0.24/0.81 inference(cnf_transformation,[status(thm)],[f195])).
% 0.24/0.81 fof(f511,plain,(
% 0.24/0.81 ![X0,X1,X2,X3]: (hAPP(c_Type_Oshift(X0,X1,X2,X3),X1)=X2)),
% 0.24/0.81 inference(cnf_transformation,[status(thm)],[f196])).
% 0.24/0.81 fof(f558,plain,(
% 0.24/0.81 ![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)))),
% 0.24/0.81 inference(cnf_transformation,[status(thm)],[f226])).
% 0.24/0.81 fof(f564,plain,(
% 0.24/0.81 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)))),
% 0.24/0.81 inference(cnf_transformation,[status(thm)],[f230])).
% 0.24/0.81 fof(f576,plain,(
% 0.24/0.81 ~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))),
% 0.24/0.81 inference(cnf_transformation,[status(thm)],[f240])).
% 0.24/0.81 fof(f582,plain,(
% 0.24/0.81 ~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)),
% 0.24/0.81 inference(backward_demodulation,[status(thm)],[f558,f576])).
% 0.24/0.81 fof(f634,plain,(
% 0.24/0.81 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))),
% 0.24/0.81 inference(forward_demodulation,[status(thm)],[f558,f564])).
% 0.24/0.81 fof(f637,plain,(
% 0.24/0.81 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))),
% 0.24/0.81 inference(backward_demodulation,[status(thm)],[f510,f634])).
% 0.24/0.81 fof(f2369,plain,(
% 0.24/0.81 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)),
% 0.24/0.81 inference(resolution,[status(thm)],[f509,f637])).
% 0.24/0.81 fof(f2372,plain,(
% 0.24/0.81 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)),
% 0.24/0.81 inference(forward_demodulation,[status(thm)],[f511,f2369])).
% 0.24/0.81 fof(f2373,plain,(
% 0.24/0.81 $false),
% 0.24/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2372,f582])).
% 0.24/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.84 % Elapsed time: 0.361367 seconds
% 0.24/0.84 % CPU time: 2.227671 seconds
% 0.24/0.84 % Total memory used: 149.147 MB
% 0.24/0.84 % Net memory used: 148.494 MB
%------------------------------------------------------------------------------