TSTP Solution File: MSC014-10 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : MSC014-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:37:35 EDT 2023

% Result   : Satisfiable 0.22s 0.56s
% Output   : Saturation 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named goal)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_12,axiom,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,ifeq2(equalish(X4,X4),true,f(X4,X3,X2,X1,sK1_exists_f_Z(X4,X3,X2,X1)),true),true),true),true) = true,
    exists_f,
    [final] ).

cnf(c_0_13,axiom,
    equalish(n0,n0) = true,
    n0_and_n1_reflexive_1,
    [final] ).

cnf(c_0_14,axiom,
    ifeq2(X1,X1,X2,X3) = X2,
    ifeq_axiom,
    [final] ).

cnf(c_0_15,axiom,
    equalish(n1,n1) = true,
    n0_and_n1_reflexive,
    [final] ).

cnf(c_0_16,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(n0,X3,X2,X1,sK1_exists_f_Z(n0,X3,X2,X1)),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_17,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(n1,X3,X2,X1,sK1_exists_f_Z(n1,X3,X2,X1)),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_18,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,n0,X2,X1,sK1_exists_f_Z(n0,n0,X2,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_19,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,n1,X2,X1,sK1_exists_f_Z(n0,n1,X2,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_20,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,n0,X2,X1,sK1_exists_f_Z(n1,n0,X2,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_21,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,n1,X2,X1,sK1_exists_f_Z(n1,n1,X2,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_22,plain,
    ifeq2(equalish(X1,X1),true,f(n0,n0,n0,X1,sK1_exists_f_Z(n0,n0,n0,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_23,plain,
    ifeq2(equalish(X1,X1),true,f(n0,n0,n1,X1,sK1_exists_f_Z(n0,n0,n1,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_24,plain,
    ifeq2(equalish(X1,X1),true,f(n0,n1,n0,X1,sK1_exists_f_Z(n0,n1,n0,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_25,plain,
    ifeq2(equalish(X1,X1),true,f(n0,n1,n1,X1,sK1_exists_f_Z(n0,n1,n1,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_26,plain,
    ifeq2(equalish(X1,X1),true,f(n1,n0,n0,X1,sK1_exists_f_Z(n1,n0,n0,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_27,plain,
    ifeq2(equalish(X1,X1),true,f(n1,n0,n1,X1,sK1_exists_f_Z(n1,n0,n1,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_28,plain,
    ifeq2(equalish(X1,X1),true,f(n1,n1,n0,X1,sK1_exists_f_Z(n1,n1,n0,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_29,plain,
    ifeq2(equalish(X1,X1),true,f(n1,n1,n1,X1,sK1_exists_f_Z(n1,n1,n1,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_30,axiom,
    ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X9,X4),true),true) = true,
    inject_f_3,
    [final] ).

cnf(c_0_31,plain,
    f(n0,n0,n0,n0,sK1_exists_f_Z(n0,n0,n0,n0)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_32,plain,
    f(n0,n0,n0,n1,sK1_exists_f_Z(n0,n0,n0,n1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_33,plain,
    f(n0,n0,n1,n0,sK1_exists_f_Z(n0,n0,n1,n0)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_34,plain,
    f(n0,n0,n1,n1,sK1_exists_f_Z(n0,n0,n1,n1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_35,plain,
    f(n0,n1,n0,n0,sK1_exists_f_Z(n0,n1,n0,n0)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_36,plain,
    f(n0,n1,n0,n1,sK1_exists_f_Z(n0,n1,n0,n1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_37,plain,
    f(n0,n1,n1,n0,sK1_exists_f_Z(n0,n1,n1,n0)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_38,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,n0,X2,X1,sK1_exists_f_Z(X3,n0,X2,X1)),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_39,plain,
    f(n0,n1,n1,n1,sK1_exists_f_Z(n0,n1,n1,n1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_40,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,n1,X2,X1,sK1_exists_f_Z(X3,n1,X2,X1)),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_41,plain,
    f(n1,n0,n0,n0,sK1_exists_f_Z(n1,n0,n0,n0)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_42,plain,
    f(n1,n0,n0,n1,sK1_exists_f_Z(n1,n0,n0,n1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_43,plain,
    f(n1,n0,n1,n0,sK1_exists_f_Z(n1,n0,n1,n0)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_44,plain,
    f(n1,n0,n1,n1,sK1_exists_f_Z(n1,n0,n1,n1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_45,plain,
    f(n1,n1,n0,n0,sK1_exists_f_Z(n1,n1,n0,n0)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_46,plain,
    f(n1,n1,n0,n1,sK1_exists_f_Z(n1,n1,n0,n1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_47,plain,
    f(n1,n1,n1,n0,sK1_exists_f_Z(n1,n1,n1,n0)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_48,plain,
    f(n1,n1,n1,n1,sK1_exists_f_Z(n1,n1,n1,n1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_49,axiom,
    ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X6,X1),true),true) = true,
    inject_f,
    [final] ).

cnf(c_0_50,axiom,
    ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X7,X2),true),true) = true,
    inject_f_1,
    [final] ).

cnf(c_0_51,axiom,
    ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X8,X3),true),true) = true,
    inject_f_2,
    [final] ).

cnf(c_0_52,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_14]),
    [final] ).

cnf(c_0_53,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n1,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_14]),
    [final] ).

cnf(c_0_54,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_33]),c_0_14]),
    [final] ).

cnf(c_0_55,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n1,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_34]),c_0_14]),
    [final] ).

cnf(c_0_56,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_14]),
    [final] ).

cnf(c_0_57,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n1,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_14]),
    [final] ).

cnf(c_0_58,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n0,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_37]),c_0_14]),
    [final] ).

cnf(c_0_59,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,n0,X1,sK1_exists_f_Z(X2,n0,n0,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_60,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,n1,X1,sK1_exists_f_Z(X2,n0,n1,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_61,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_39]),c_0_14]),
    [final] ).

cnf(c_0_62,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,n0,X1,sK1_exists_f_Z(X2,n1,n0,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_63,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_41]),c_0_14]),
    [final] ).

cnf(c_0_64,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,n1,X1,sK1_exists_f_Z(X2,n1,n1,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_65,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,n0,X1,sK1_exists_f_Z(n0,X2,n0,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_66,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n1,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_42]),c_0_14]),
    [final] ).

cnf(c_0_67,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,n1,X1,sK1_exists_f_Z(n0,X2,n1,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_68,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n0,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_14]),
    [final] ).

cnf(c_0_69,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,n0,X1,sK1_exists_f_Z(X3,X2,n0,X1)),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_70,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,n1,X1,sK1_exists_f_Z(X3,X2,n1,X1)),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_71,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_14]),
    [final] ).

cnf(c_0_72,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,n0,X1,sK1_exists_f_Z(n1,X2,n0,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_73,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,n1,X1,sK1_exists_f_Z(n1,X2,n1,X1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_74,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n0,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_45]),c_0_14]),
    [final] ).

cnf(c_0_75,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_46]),c_0_14]),
    [final] ).

cnf(c_0_76,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n0,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_47]),c_0_14]),
    [final] ).

cnf(c_0_77,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_48]),c_0_14]),
    [final] ).

cnf(c_0_78,negated_conjecture,
    a != b,
    goal,
    [final] ).

cnf(c_0_79,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_31]),c_0_14]),
    [final] ).

cnf(c_0_80,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_14]),
    [final] ).

cnf(c_0_81,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_14]),
    [final] ).

cnf(c_0_82,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_52]),
    [final] ).

cnf(c_0_83,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X1,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_31]),c_0_14]),
    [final] ).

cnf(c_0_84,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X2,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_14]),
    [final] ).

cnf(c_0_85,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X3,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_14]),
    [final] ).

cnf(c_0_86,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X4,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_14]),
    [final] ).

cnf(c_0_87,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_32]),c_0_14]),
    [final] ).

cnf(c_0_88,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_32]),c_0_14]),
    [final] ).

cnf(c_0_89,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_32]),c_0_14]),
    [final] ).

cnf(c_0_90,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_53]),
    [final] ).

cnf(c_0_91,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X1,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_32]),c_0_14]),
    [final] ).

cnf(c_0_92,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X2,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_32]),c_0_14]),
    [final] ).

cnf(c_0_93,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X3,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_32]),c_0_14]),
    [final] ).

cnf(c_0_94,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X4,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_14]),
    [final] ).

cnf(c_0_95,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_33]),c_0_14]),
    [final] ).

cnf(c_0_96,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_33]),c_0_14]),
    [final] ).

cnf(c_0_97,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n1,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_33]),c_0_14]),
    [final] ).

cnf(c_0_98,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_54]),
    [final] ).

cnf(c_0_99,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X1,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_33]),c_0_14]),
    [final] ).

cnf(c_0_100,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X2,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_33]),c_0_14]),
    [final] ).

cnf(c_0_101,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X3,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_33]),c_0_14]),
    [final] ).

cnf(c_0_102,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X4,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_33]),c_0_14]),
    [final] ).

cnf(c_0_103,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n0,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_34]),c_0_14]),
    [final] ).

cnf(c_0_104,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n0,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_34]),c_0_14]),
    [final] ).

cnf(c_0_105,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n1,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_34]),c_0_14]),
    [final] ).

cnf(c_0_106,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_55]),
    [final] ).

cnf(c_0_107,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X1,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_34]),c_0_14]),
    [final] ).

cnf(c_0_108,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X2,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_34]),c_0_14]),
    [final] ).

cnf(c_0_109,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X3,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_34]),c_0_14]),
    [final] ).

cnf(c_0_110,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X4,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_34]),c_0_14]),
    [final] ).

cnf(c_0_111,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_14]),
    [final] ).

cnf(c_0_112,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n1,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_14]),
    [final] ).

cnf(c_0_113,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_14]),
    [final] ).

cnf(c_0_114,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_56]),
    [final] ).

cnf(c_0_115,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X1,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_14]),
    [final] ).

cnf(c_0_116,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X2,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_14]),
    [final] ).

cnf(c_0_117,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X3,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_14]),
    [final] ).

cnf(c_0_118,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X4,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_14]),
    [final] ).

cnf(c_0_119,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n0,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_36]),c_0_14]),
    [final] ).

cnf(c_0_120,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n1,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_14]),
    [final] ).

cnf(c_0_121,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n0,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_36]),c_0_14]),
    [final] ).

cnf(c_0_122,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_57]),
    [final] ).

cnf(c_0_123,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X1,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_36]),c_0_14]),
    [final] ).

cnf(c_0_124,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X2,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_14]),
    [final] ).

cnf(c_0_125,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X3,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_36]),c_0_14]),
    [final] ).

cnf(c_0_126,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X4,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_14]),
    [final] ).

cnf(c_0_127,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n0,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_37]),c_0_14]),
    [final] ).

cnf(c_0_128,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n1,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_37]),c_0_14]),
    [final] ).

cnf(c_0_129,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n1,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_37]),c_0_14]),
    [final] ).

cnf(c_0_130,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_58]),
    [final] ).

cnf(c_0_131,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X1,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_37]),c_0_14]),
    [final] ).

cnf(c_0_132,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X2,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_37]),c_0_14]),
    [final] ).

cnf(c_0_133,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X3,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_37]),c_0_14]),
    [final] ).

cnf(c_0_134,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X4,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_37]),c_0_14]),
    [final] ).

cnf(c_0_135,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n0,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_39]),c_0_14]),
    [final] ).

cnf(c_0_136,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_39]),c_0_14]),
    [final] ).

cnf(c_0_137,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_39]),c_0_14]),
    [final] ).

cnf(c_0_138,plain,
    ifeq2(equalish(X1,X1),true,f(X1,n0,n0,n0,sK1_exists_f_Z(X1,n0,n0,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_139,plain,
    ifeq2(equalish(X1,X1),true,f(X1,n0,n0,n1,sK1_exists_f_Z(X1,n0,n0,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_140,plain,
    ifeq2(equalish(X1,X1),true,f(X1,n0,n1,n0,sK1_exists_f_Z(X1,n0,n1,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_141,plain,
    ifeq2(equalish(X1,X1),true,f(X1,n0,n1,n1,sK1_exists_f_Z(X1,n0,n1,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_142,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_61]),
    [final] ).

cnf(c_0_143,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X1,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_39]),c_0_14]),
    [final] ).

cnf(c_0_144,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X2,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_39]),c_0_14]),
    [final] ).

cnf(c_0_145,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X3,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_39]),c_0_14]),
    [final] ).

cnf(c_0_146,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X4,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_39]),c_0_14]),
    [final] ).

cnf(c_0_147,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n1,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_41]),c_0_14]),
    [final] ).

cnf(c_0_148,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_41]),c_0_14]),
    [final] ).

cnf(c_0_149,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_41]),c_0_14]),
    [final] ).

cnf(c_0_150,plain,
    ifeq2(equalish(X1,X1),true,f(X1,n1,n0,n0,sK1_exists_f_Z(X1,n1,n0,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_151,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_63]),
    [final] ).

cnf(c_0_152,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X1,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_41]),c_0_14]),
    [final] ).

cnf(c_0_153,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X2,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_41]),c_0_14]),
    [final] ).

cnf(c_0_154,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X3,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_41]),c_0_14]),
    [final] ).

cnf(c_0_155,plain,
    ifeq2(equalish(X1,X1),true,f(X1,n1,n0,n1,sK1_exists_f_Z(X1,n1,n0,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_156,plain,
    ifeq2(equalish(X1,X1),true,f(X1,n1,n1,n0,sK1_exists_f_Z(X1,n1,n1,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_157,plain,
    ifeq2(equalish(X1,X1),true,f(X1,n1,n1,n1,sK1_exists_f_Z(X1,n1,n1,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_158,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X4,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_41]),c_0_14]),
    [final] ).

cnf(c_0_159,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n1,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_42]),c_0_14]),
    [final] ).

cnf(c_0_160,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n0,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_42]),c_0_14]),
    [final] ).

cnf(c_0_161,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n0,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_42]),c_0_14]),
    [final] ).

cnf(c_0_162,plain,
    ifeq2(equalish(X1,X1),true,f(n0,X1,n0,n0,sK1_exists_f_Z(n0,X1,n0,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_163,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_66]),
    [final] ).

cnf(c_0_164,plain,
    ifeq2(equalish(X1,X1),true,f(n0,X1,n0,n1,sK1_exists_f_Z(n0,X1,n0,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_165,plain,
    ifeq2(equalish(X1,X1),true,f(n0,X1,n1,n0,sK1_exists_f_Z(n0,X1,n1,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_166,plain,
    ifeq2(equalish(X1,X1),true,f(n0,X1,n1,n1,sK1_exists_f_Z(n0,X1,n1,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_167,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X1,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_42]),c_0_14]),
    [final] ).

cnf(c_0_168,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X2,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_42]),c_0_14]),
    [final] ).

cnf(c_0_169,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X3,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_42]),c_0_14]),
    [final] ).

cnf(c_0_170,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X4,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_42]),c_0_14]),
    [final] ).

cnf(c_0_171,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n1,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_14]),
    [final] ).

cnf(c_0_172,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n0,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_14]),
    [final] ).

cnf(c_0_173,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n1,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_14]),
    [final] ).

cnf(c_0_174,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_68]),
    [final] ).

cnf(c_0_175,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X1,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_14]),
    [final] ).

cnf(c_0_176,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X2,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_14]),
    [final] ).

cnf(c_0_177,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X3,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_14]),
    [final] ).

cnf(c_0_178,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X4,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_14]),
    [final] ).

cnf(c_0_179,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_14]),
    [final] ).

cnf(c_0_180,plain,
    ifeq2(equalish(X1,X1),true,f(n0,n0,X1,n0,sK1_exists_f_Z(n0,n0,X1,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_181,plain,
    ifeq2(equalish(X1,X1),true,f(n0,n0,X1,n1,sK1_exists_f_Z(n0,n0,X1,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_182,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n0,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_14]),
    [final] ).

cnf(c_0_183,plain,
    ifeq2(equalish(X1,X1),true,f(n0,n1,X1,n0,sK1_exists_f_Z(n0,n1,X1,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_184,plain,
    ifeq2(equalish(X1,X1),true,f(n0,n1,X1,n1,sK1_exists_f_Z(n0,n1,X1,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_185,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_14]),
    [final] ).

cnf(c_0_186,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n0,n0,sK1_exists_f_Z(X2,X1,n0,n0)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_187,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n0,n1,sK1_exists_f_Z(X2,X1,n0,n1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_188,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n1,n0,sK1_exists_f_Z(X2,X1,n1,n0)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_189,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n1,n1,sK1_exists_f_Z(X2,X1,n1,n1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_190,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_71]),
    [final] ).

cnf(c_0_191,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,X1,n0,sK1_exists_f_Z(X2,n0,X1,n0)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_192,plain,
    ifeq2(equalish(X1,X1),true,f(n1,X1,n0,n0,sK1_exists_f_Z(n1,X1,n0,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_193,plain,
    ifeq2(equalish(X1,X1),true,f(n1,X1,n0,n1,sK1_exists_f_Z(n1,X1,n0,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_194,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X1,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_14]),
    [final] ).

cnf(c_0_195,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X2,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_14]),
    [final] ).

cnf(c_0_196,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X3,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_14]),
    [final] ).

cnf(c_0_197,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X4,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_14]),
    [final] ).

cnf(c_0_198,plain,
    ifeq2(equalish(X1,X1),true,f(n1,X1,n1,n0,sK1_exists_f_Z(n1,X1,n1,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_199,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,X1,n1,sK1_exists_f_Z(X2,n0,X1,n1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_200,plain,
    ifeq2(equalish(X1,X1),true,f(n1,X1,n1,n1,sK1_exists_f_Z(n1,X1,n1,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_201,plain,
    ifeq2(equalish(X1,X1),true,f(n1,n0,X1,n0,sK1_exists_f_Z(n1,n0,X1,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_202,plain,
    ifeq2(equalish(X1,X1),true,f(n1,n0,X1,n1,sK1_exists_f_Z(n1,n0,X1,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_203,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,X1,n0,sK1_exists_f_Z(X2,n1,X1,n0)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_204,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,X1,n1,sK1_exists_f_Z(X2,n1,X1,n1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_205,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,X1,n0,sK1_exists_f_Z(n0,X2,X1,n0)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_206,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,X1,n1,sK1_exists_f_Z(n0,X2,X1,n1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_207,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n1,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_45]),c_0_14]),
    [final] ).

cnf(c_0_208,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n1,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_45]),c_0_14]),
    [final] ).

cnf(c_0_209,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n0,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_14]),
    [final] ).

cnf(c_0_210,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_74]),
    [final] ).

cnf(c_0_211,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X1,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_45]),c_0_14]),
    [final] ).

cnf(c_0_212,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X2,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_45]),c_0_14]),
    [final] ).

cnf(c_0_213,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X3,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_14]),
    [final] ).

cnf(c_0_214,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X4,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_45]),c_0_14]),
    [final] ).

cnf(c_0_215,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_46]),c_0_14]),
    [final] ).

cnf(c_0_216,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_14]),
    [final] ).

cnf(c_0_217,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n0,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_14]),
    [final] ).

cnf(c_0_218,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_75]),
    [final] ).

cnf(c_0_219,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X1,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_46]),c_0_14]),
    [final] ).

cnf(c_0_220,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X2,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_14]),
    [final] ).

cnf(c_0_221,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X3,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_14]),
    [final] ).

cnf(c_0_222,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X4,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_46]),c_0_14]),
    [final] ).

cnf(c_0_223,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_14]),
    [final] ).

cnf(c_0_224,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_14]),
    [final] ).

cnf(c_0_225,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_14]),
    [final] ).

cnf(c_0_226,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_76]),
    [final] ).

cnf(c_0_227,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X1,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_14]),
    [final] ).

cnf(c_0_228,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X2,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_14]),
    [final] ).

cnf(c_0_229,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X3,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_14]),
    [final] ).

cnf(c_0_230,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X4,n0),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_47]),c_0_14]),
    [final] ).

cnf(c_0_231,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_48]),c_0_14]),
    [final] ).

cnf(c_0_232,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_14]),
    [final] ).

cnf(c_0_233,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_48]),c_0_14]),
    [final] ).

cnf(c_0_234,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,true,true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_77]),
    [final] ).

cnf(c_0_235,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X1,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_48]),c_0_14]),
    [final] ).

cnf(c_0_236,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X2,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_14]),
    [final] ).

cnf(c_0_237,plain,
    ifeq2(equalish(X1,X1),true,f(n1,n1,X1,n0,sK1_exists_f_Z(n1,n1,X1,n0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_238,plain,
    ifeq2(equalish(X1,X1),true,f(n1,n1,X1,n1,sK1_exists_f_Z(n1,n1,X1,n1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_239,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,X1,n0,sK1_exists_f_Z(n1,X2,X1,n0)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_240,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,X1,n1,sK1_exists_f_Z(n1,X2,X1,n1)),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_241,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X3,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_48]),c_0_14]),
    [final] ).

cnf(c_0_242,plain,
    ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X4,n1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_48]),c_0_14]),
    [final] ).

cnf(c_0_243,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,X1,n0,sK1_exists_f_Z(X3,X2,X1,n0)),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_244,plain,
    ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,X1,n1,sK1_exists_f_Z(X3,X2,X1,n1)),true),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]),
    [final] ).

cnf(c_0_245,plain,
    ifeq2(f(n0,X1,X2,X3,X4),true,ifeq2(f(n0,X5,X6,X7,X4),true,true,true),true) = true,
    inference(spm,[status(thm)],[c_0_49,c_0_13]),
    [final] ).

cnf(c_0_246,plain,
    ifeq2(f(n1,X1,X2,X3,X4),true,ifeq2(f(n1,X5,X6,X7,X4),true,true,true),true) = true,
    inference(spm,[status(thm)],[c_0_49,c_0_15]),
    [final] ).

cnf(c_0_247,plain,
    ifeq2(f(X1,n0,X2,X3,X4),true,ifeq2(f(X5,n0,X6,X7,X4),true,true,true),true) = true,
    inference(spm,[status(thm)],[c_0_50,c_0_13]),
    [final] ).

cnf(c_0_248,plain,
    ifeq2(f(X1,n1,X2,X3,X4),true,ifeq2(f(X5,n1,X6,X7,X4),true,true,true),true) = true,
    inference(spm,[status(thm)],[c_0_50,c_0_15]),
    [final] ).

cnf(c_0_249,plain,
    ifeq2(f(X1,X2,n0,X3,X4),true,ifeq2(f(X5,X6,n0,X7,X4),true,true,true),true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_13]),
    [final] ).

cnf(c_0_250,plain,
    ifeq2(f(X1,X2,n1,X3,X4),true,ifeq2(f(X5,X6,n1,X7,X4),true,true,true),true) = true,
    inference(spm,[status(thm)],[c_0_51,c_0_15]),
    [final] ).

cnf(c_0_251,plain,
    ifeq2(f(X1,X2,X3,n0,X4),true,ifeq2(f(X5,X6,X7,n0,X4),true,true,true),true) = true,
    inference(spm,[status(thm)],[c_0_30,c_0_13]),
    [final] ).

cnf(c_0_252,plain,
    ifeq2(f(X1,X2,X3,n1,X4),true,ifeq2(f(X5,X6,X7,n1,X4),true,true,true),true) = true,
    inference(spm,[status(thm)],[c_0_30,c_0_15]),
    [final] ).

cnf(c_0_253,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom_001,
    [final] ).

cnf(c_0_254,axiom,
    ifeq(equalish(n1,n0),true,a,b) = b,
    n0_not_n1,
    [final] ).

cnf(c_0_255,axiom,
    ifeq(equalish(n0,n1),true,a,b) = b,
    n0_not_n1_1,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : MSC014-10 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 11:21:38 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.riQWvnp6O7/E---3.1_32277.p
% 0.22/0.56  # Version: 3.1pre001
% 0.22/0.56  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.56  # Starting sh5l with 300s (1) cores
% 0.22/0.56  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32426 completed with status 1
% 0.22/0.56  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.56  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.56  # No SInE strategy applied
% 0.22/0.56  # Search class: FUUPM-FFSS33-DFFFFFNN
% 0.22/0.56  # partial match(1): FUUPM-FFMS33-DFFFFFNN
% 0.22/0.56  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.22/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.56  # Starting new_bool_3 with 136s (1) cores
% 0.22/0.56  # Starting new_bool_1 with 136s (1) cores
% 0.22/0.56  # Starting sh5l with 136s (1) cores
% 0.22/0.56  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 32430 completed with status 1
% 0.22/0.56  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 0.22/0.56  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.56  # No SInE strategy applied
% 0.22/0.56  # Search class: FUUPM-FFSS33-DFFFFFNN
% 0.22/0.56  # partial match(1): FUUPM-FFMS33-DFFFFFNN
% 0.22/0.56  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.22/0.56  # Preprocessing time       : 0.001 s
% 0.22/0.56  # Presaturation interreduction done
% 0.22/0.56  
% 0.22/0.56  # No proof found!
% 0.22/0.56  # SZS status Satisfiable
% 0.22/0.56  # SZS output start Saturation
% See solution above
% 0.22/0.56  # Parsed axioms                        : 12
% 0.22/0.56  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.56  # Initial clauses                      : 12
% 0.22/0.56  # Removed in clause preprocessing      : 0
% 0.22/0.56  # Initial clauses in saturation        : 12
% 0.22/0.56  # Processed clauses                    : 873
% 0.22/0.56  # ...of these trivial                  : 489
% 0.22/0.56  # ...subsumed                          : 0
% 0.22/0.56  # ...remaining for further processing  : 384
% 0.22/0.56  # Other redundant clauses eliminated   : 0
% 0.22/0.56  # Clauses deleted for lack of memory   : 0
% 0.22/0.56  # Backward-subsumed                    : 0
% 0.22/0.56  # Backward-rewritten                   : 128
% 0.22/0.56  # Generated clauses                    : 3072
% 0.22/0.56  # ...of the previous two non-redundant : 849
% 0.22/0.56  # ...aggressively subsumed             : 0
% 0.22/0.56  # Contextual simplify-reflections      : 0
% 0.22/0.56  # Paramodulations                      : 3072
% 0.22/0.56  # Factorizations                       : 0
% 0.22/0.56  # NegExts                              : 0
% 0.22/0.56  # Equation resolutions                 : 0
% 0.22/0.56  # Total rewrite steps                  : 5136
% 0.22/0.56  # Propositional unsat checks           : 0
% 0.22/0.56  #    Propositional check models        : 0
% 0.22/0.56  #    Propositional check unsatisfiable : 0
% 0.22/0.56  #    Propositional clauses             : 0
% 0.22/0.56  #    Propositional clauses after purity: 0
% 0.22/0.56  #    Propositional unsat core size     : 0
% 0.22/0.56  #    Propositional preprocessing time  : 0.000
% 0.22/0.56  #    Propositional encoding time       : 0.000
% 0.22/0.56  #    Propositional solver time         : 0.000
% 0.22/0.56  #    Success case prop preproc time    : 0.000
% 0.22/0.56  #    Success case prop encoding time   : 0.000
% 0.22/0.56  #    Success case prop solver time     : 0.000
% 0.22/0.56  # Current number of processed clauses  : 244
% 0.22/0.56  #    Positive orientable unit clauses  : 243
% 0.22/0.56  #    Positive unorientable unit clauses: 0
% 0.22/0.56  #    Negative unit clauses             : 1
% 0.22/0.56  #    Non-unit-clauses                  : 0
% 0.22/0.56  # Current number of unprocessed clauses: 0
% 0.22/0.56  # ...number of literals in the above   : 0
% 0.22/0.56  # Current number of archived formulas  : 0
% 0.22/0.56  # Current number of archived clauses   : 140
% 0.22/0.56  # Clause-clause subsumption calls (NU) : 0
% 0.22/0.56  # Rec. Clause-clause subsumption calls : 0
% 0.22/0.56  # Non-unit clause-clause subsumptions  : 0
% 0.22/0.56  # Unit Clause-clause subsumption calls : 0
% 0.22/0.56  # Rewrite failures with RHS unbound    : 0
% 0.22/0.56  # BW rewrite match attempts            : 29021
% 0.22/0.56  # BW rewrite match successes           : 128
% 0.22/0.56  # Condensation attempts                : 0
% 0.22/0.56  # Condensation successes               : 0
% 0.22/0.56  # Termbank termtop insertions          : 47584
% 0.22/0.56  
% 0.22/0.56  # -------------------------------------------------
% 0.22/0.56  # User time                : 0.057 s
% 0.22/0.56  # System time              : 0.004 s
% 0.22/0.56  # Total time               : 0.061 s
% 0.22/0.56  # Maximum resident set size: 1616 pages
% 0.22/0.56  
% 0.22/0.56  # -------------------------------------------------
% 0.22/0.56  # User time                : 0.281 s
% 0.22/0.56  # System time              : 0.018 s
% 0.22/0.56  # Total time               : 0.299 s
% 0.22/0.56  # Maximum resident set size: 1728 pages
% 0.22/0.56  % E---3.1 exiting
% 0.22/0.57  % E---3.1 exiting
%------------------------------------------------------------------------------