TSTP Solution File: LCL816-1 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL816-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:12:14 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL816-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 19:34:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41 % SZS status Unsatisfiable
% 0.19/0.41 % SZS output begin IncompleteProof
% 0.19/0.41 cnf(c0, axiom,
% 0.19/0.41 ~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)).
% 0.19/0.41 cnf(c1, plain,
% 0.19/0.41 ~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
% 0.19/0.41 inference(start, [], [c0])).
% 0.19/0.41
% 0.19/0.41 cnf(c2, axiom,
% 0.19/0.41 ~c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X2,X3,tc_Type_Otype,tc_Type_Otype)) | ~c_Type_Otypings(X0,X4,X2) | c_Type_Otyping(X0,c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(X4,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X3)).
% 0.19/0.41 cnf(a0, assumption,
% 0.19/0.41 c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype) = X0).
% 0.19/0.41 cnf(a1, assumption,
% 0.19/0.41 c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(X4,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB)).
% 0.19/0.41 cnf(a2, assumption,
% 0.19/0.41 v_T_H____ = X3).
% 0.19/0.41 cnf(c3, plain,
% 0.19/0.41 $false,
% 0.19/0.41 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.19/0.41 cnf(c4, plain,
% 0.19/0.41 ~c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X2,X3,tc_Type_Otype,tc_Type_Otype)) | ~c_Type_Otypings(X0,X4,X2),
% 0.19/0.41 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.19/0.41
% 0.19/0.41 cnf(c5, axiom,
% 0.19/0.41 c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))).
% 0.19/0.41 cnf(a3, assumption,
% 0.19/0.41 X0 = c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype)).
% 0.19/0.41 cnf(a4, assumption,
% 0.19/0.41 X1 = c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.41 cnf(a5, assumption,
% 0.19/0.41 c_List_Ofoldr(c_Type_Otype_OFun,X2,X3,tc_Type_Otype,tc_Type_Otype) = c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 0.19/0.41 cnf(c6, plain,
% 0.19/0.41 ~c_Type_Otypings(X0,X4,X2),
% 0.19/0.41 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.19/0.41 cnf(c7, plain,
% 0.19/0.41 $false,
% 0.19/0.41 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.19/0.41
% 0.19/0.41 cnf(c8, axiom,
% 0.19/0.41 c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____)).
% 0.19/0.41 cnf(a6, assumption,
% 0.19/0.41 X0 = c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype)).
% 0.19/0.41 cnf(a7, assumption,
% 0.19/0.41 X4 = c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)).
% 0.19/0.41 cnf(a8, assumption,
% 0.19/0.41 X2 = v_Ts____).
% 0.19/0.41 cnf(c9, plain,
% 0.19/0.41 $false,
% 0.19/0.41 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 0.19/0.41 cnf(c10, plain,
% 0.19/0.41 $false,
% 0.19/0.41 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 0.19/0.41
% 0.19/0.41 cnf(c11, plain,
% 0.19/0.41 $false,
% 0.19/0.41 inference(constraint_solving, [
% 0.19/0.41 bind(X0, c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype)),
% 0.19/0.41 bind(X1, c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),
% 0.19/0.41 bind(X2, v_Ts____),
% 0.19/0.41 bind(X3, v_T_H____),
% 0.19/0.41 bind(X4, c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))
% 0.19/0.41 ],
% 0.19/0.41 [a0, a1, a2, a3, a4, a5, a6, a7, a8])).
% 0.19/0.41
% 0.19/0.41 % SZS output end IncompleteProof
%------------------------------------------------------------------------------