TSTP Solution File: LCL785-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL785-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n007.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 14:18:15 EDT 2022

% Result   : Unsatisfiable 42.77s 5.81s
% Output   : Proof 42.77s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0)]) ).

cnf(g1,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nT_0)]) ).

cnf(g2,plain,
    sPE(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H____),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__0__right_0)]) ).

cnf(g3,plain,
    sPE(c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil_0)]) ).

cnf(g4,plain,
    sPE(v_rs____,c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons_0)]) ).

cnf(g5,plain,
    sPE(tc_Lambda_OdB,tc_Lambda_OdB),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(c_Lambda_OdB_OApp,c_Lambda_OdB_OApp),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    sPE(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Cons_0)]) ).

cnf(g8,plain,
    ( ~ sPE(c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype))
    | ~ sPE(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))
    | ~ sPE(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H____)
    | ~ c_Type_Otyping(c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat)))
    | c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB))
    | ~ sPE(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))
    | ~ sPE(v_T_H____,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)
    | c_Type_Otyping(c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(v_T_H____,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_T_H____),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_1)]) ).

cnf(g11,plain,
    ( ~ sPE(c_Lambda_OdB_OApp,c_Lambda_OdB_OApp)
    | ~ sPE(c_Lambda_OdB_OVar(v_n____),c_Lambda_OdB_OVar(v_n____))
    | ~ sPE(v_rs____,c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB))
    | ~ sPE(tc_Lambda_OdB,tc_Lambda_OdB)
    | ~ sPE(tc_Lambda_OdB,tc_Lambda_OdB)
    | sPE(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sPE(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),tc_Lambda_OdB)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0)]) ).

cnf(g13,plain,
    sPE(c_Lambda_OdB_OVar(v_n____),c_Lambda_OdB_OVar(v_n____)),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL785-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul  4 05:37:56 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 42.77/5.81  % symbols: 104
% 42.77/5.81  % clauses: 501
% 42.77/5.81  % start clauses: 1
% 42.77/5.81  % iterative deepening steps: 5867
% 42.77/5.81  % maximum path limit: 5
% 42.77/5.81  % literal attempts: 6020936
% 42.77/5.81  % depth failures: 5362272
% 42.77/5.81  % regularity failures: 105306
% 42.77/5.81  % tautology failures: 104996
% 42.77/5.81  % reductions: 166227
% 42.77/5.81  % extensions: 5853393
% 42.77/5.81  % SAT variables: 1633616
% 42.77/5.81  % SAT clauses: 1798681
% 42.77/5.81  % WalkSAT solutions: 1798679
% 42.77/5.81  % CDCL solutions: 0
% 42.77/5.81  % SZS status Unsatisfiable for theBenchmark
% 42.77/5.81  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------