TSTP Solution File: SWV866-1 by iProverMo---2.5-0.1

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV866-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n010.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 : Wed Jul 20 19:22:44 EDT 2022

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_evalc_OSkip_0,axiom,
    c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s),
    input ).

fof(cls_evalc_OSkip_0_0,plain,
    ! [V_s] :
      ( c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_evalc_OSkip_0]) ).

cnf(cls_com_Osimps_I12_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
    input ).

fof(cls_com_Osimps_I12_J_0_0,plain,
    ! [V_com1_H,V_com2_H] :
      ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I12_J_0]) ).

cnf(cls_com_Osimps_I13_J_0,axiom,
    c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
    input ).

fof(cls_com_Osimps_I13_J_0_0,plain,
    ! [V_com1_H,V_com2_H] :
      ( c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I13_J_0]) ).

cnf(cls_evaln_OSkip_0,axiom,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s),
    input ).

fof(cls_evaln_OSkip_0_0,plain,
    ! [V_n,V_s] :
      ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_evaln_OSkip_0]) ).

fof(def_lhs_atom1,axiom,
    ! [V_s,V_n] :
      ( lhs_atom1(V_s,V_n)
    <=> c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [V_n,V_s] :
      ( lhs_atom1(V_s,V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_evaln_OSkip_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_com2_H,V_com1_H] :
      ( lhs_atom2(V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [V_com1_H,V_com2_H] :
      ( lhs_atom2(V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I13_J_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_com2_H,V_com1_H] :
      ( lhs_atom3(V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [V_com1_H,V_com2_H] :
      ( lhs_atom3(V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I12_J_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_s] :
      ( lhs_atom4(V_s)
    <=> c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [V_s] :
      ( lhs_atom4(V_s)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_evalc_OSkip_0_0,def_lhs_atom4]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X3,X4] :
      ( lhs_atom3(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_1,axiom,
    ! [X3,X4] :
      ( lhs_atom2(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_2,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_3,axiom,
    ! [X1] :
      ( lhs_atom4(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_4,plain,
    ! [X3,X4] : lhs_atom3(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_5,plain,
    ! [X3,X4] : lhs_atom2(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_6,plain,
    ! [X1,X2] : lhs_atom1(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_7,plain,
    ! [X1] : lhs_atom4(X1),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_8,plain,
    ! [X5,X6] : lhs_atom3(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_4]) ).

fof(c_0_9,plain,
    ! [X5,X6] : lhs_atom2(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

fof(c_0_10,plain,
    ! [X3,X4] : lhs_atom1(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ! [X2] : lhs_atom4(X2),
    inference(variable_rename,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    lhs_atom3(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    lhs_atom2(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    lhs_atom1(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    lhs_atom4(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    lhs_atom3(X1,X2),
    c_0_12,
    [final] ).

cnf(c_0_17,plain,
    lhs_atom2(X1,X2),
    c_0_13,
    [final] ).

cnf(c_0_18,plain,
    lhs_atom1(X1,X2),
    c_0_14,
    [final] ).

cnf(c_0_19,plain,
    lhs_atom4(X1),
    c_0_15,
    [final] ).

% End CNF derivation
cnf(c_0_16_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_16,def_lhs_atom3]) ).

cnf(c_0_17_0,axiom,
    c_Com_Ocom_OSemi(X2,X1) != c_Com_Ocom_OSKIP,
    inference(unfold_definition,[status(thm)],[c_0_17,def_lhs_atom2]) ).

cnf(c_0_18_0,axiom,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_18,def_lhs_atom1]) ).

cnf(c_0_19_0,axiom,
    c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_19,def_lhs_atom4]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X2,X3,X5,X13,X9] :
      ( c_Natural_Oevaln(X13,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X9,X13,X5,X3,X2),X5,X2)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X9,X13),X3,X5,X2) ),
    file('<stdin>',cls_evaln__elim__cases_I4_J_1) ).

fof(c_0_1_002,axiom,
    ! [X2,X3,X5,X13,X9] :
      ( c_Natural_Oevaln(X9,X3,X5,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X9,X13,X5,X3,X2))
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X9,X13),X3,X5,X2) ),
    file('<stdin>',cls_evaln__elim__cases_I4_J_0) ).

fof(c_0_2_003,axiom,
    ! [X6,X7,X8,X5,X9,X10] :
      ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X10,X9),X8,X5,X6)
      | ~ c_Natural_Oevaln(X9,X7,X5,X6)
      | ~ c_Natural_Oevaln(X10,X8,X5,X7) ),
    file('<stdin>',cls_evaln_OSemi_0) ).

fof(c_0_3_004,axiom,
    ! [X2,X3,X13,X9] :
      ( c_Natural_Oevalc(X13,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X9,X13,X3,X2),X2)
      | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X9,X13),X3,X2) ),
    file('<stdin>',cls_evalc__elim__cases_I4_J_1) ).

fof(c_0_4_005,axiom,
    ! [X2,X3,X13,X9] :
      ( c_Natural_Oevalc(X9,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X9,X13,X3,X2))
      | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X9,X13),X3,X2) ),
    file('<stdin>',cls_evalc__elim__cases_I4_J_0) ).

fof(c_0_5_006,axiom,
    ! [X2,X3,X5,X4] :
      ( c_Natural_Oevalc(X4,X3,X2)
      | ~ c_Natural_Oevaln(X4,X3,X5,X2) ),
    file('<stdin>',cls_evaln__evalc_0) ).

fof(c_0_6_007,axiom,
    ! [X1,X2,X3,X4] :
      ( c_Natural_Oevalc(X4,X3,X2)
      | ~ c_Natural_Oevaln(X4,X3,X1,X2) ),
    file('<stdin>',cls_eval__eq_1) ).

fof(c_0_7_008,axiom,
    ! [X2,X3,X4] :
      ( c_Natural_Oevaln(X4,X3,c_Natural_Osko__Natural__Xeval__eq__1__1(X4,X3,X2),X2)
      | ~ c_Natural_Oevalc(X4,X3,X2) ),
    file('<stdin>',cls_eval__eq_0) ).

fof(c_0_8_009,axiom,
    ! [X2,X3,X4] :
      ( c_Natural_Oevaln(X4,X3,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X4,X3,X2),X2)
      | ~ c_Natural_Oevalc(X4,X3,X2) ),
    file('<stdin>',cls_evalc__evaln_0) ).

fof(c_0_9_010,axiom,
    ! [X2,X3,X5] :
      ( X2 = X3
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X3,X5,X2) ),
    file('<stdin>',cls_evaln__elim__cases_I1_J_0) ).

fof(c_0_10_011,axiom,
    ! [X6,X7,X8,X9,X10] :
      ( c_Natural_Oevalc(c_Com_Ocom_OSemi(X10,X9),X8,X6)
      | ~ c_Natural_Oevalc(X9,X7,X6)
      | ~ c_Natural_Oevalc(X10,X8,X7) ),
    file('<stdin>',cls_evalc_OSemi_0) ).

fof(c_0_11_012,axiom,
    ! [X12,X2,X3,X4] :
      ( X12 = X2
      | ~ c_Natural_Oevalc(X4,X3,X12)
      | ~ c_Natural_Oevalc(X4,X3,X2) ),
    file('<stdin>',cls_com__det_0) ).

fof(c_0_12_013,axiom,
    ! [X2,X3] :
      ( X2 = X3
      | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X3,X2) ),
    file('<stdin>',cls_evalc__elim__cases_I1_J_0) ).

fof(c_0_13_014,axiom,
    ! [X14,X15,X16,X17] :
      ( c_Com_Ocom_OSemi(X17,X15) != c_Com_Ocom_OSemi(X16,X14)
      | X15 = X14 ),
    file('<stdin>',cls_com_Osimps_I3_J_1) ).

fof(c_0_14_015,axiom,
    ! [X14,X15,X16,X17] :
      ( c_Com_Ocom_OSemi(X17,X15) != c_Com_Ocom_OSemi(X16,X14)
      | X17 = X16 ),
    file('<stdin>',cls_com_Osimps_I3_J_0) ).

fof(c_0_15_016,axiom,
    ! [X2] :
      ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X2) != X2
      | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('<stdin>',cls_single__stateE_0) ).

fof(c_0_16_017,axiom,
    ! [X11,X1] :
      ( c_Hoare__Mirabelle_Ostate__not__singleton
      | X1 = X11 ),
    file('<stdin>',cls_state__not__singleton__def_1) ).

fof(c_0_17_018,axiom,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('<stdin>',cls_state__not__singleton__def__raw_0) ).

fof(c_0_18_019,axiom,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('<stdin>',cls_state__not__singleton__def_0) ).

fof(c_0_19_020,plain,
    ! [X2,X3,X5,X13,X9] :
      ( c_Natural_Oevaln(X13,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X9,X13,X5,X3,X2),X5,X2)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X9,X13),X3,X5,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_20,plain,
    ! [X2,X3,X5,X13,X9] :
      ( c_Natural_Oevaln(X9,X3,X5,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X9,X13,X5,X3,X2))
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X9,X13),X3,X5,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_21,plain,
    ! [X6,X7,X8,X5,X9,X10] :
      ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X10,X9),X8,X5,X6)
      | ~ c_Natural_Oevaln(X9,X7,X5,X6)
      | ~ c_Natural_Oevaln(X10,X8,X5,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_22,plain,
    ! [X2,X3,X13,X9] :
      ( c_Natural_Oevalc(X13,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X9,X13,X3,X2),X2)
      | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X9,X13),X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_23,plain,
    ! [X2,X3,X13,X9] :
      ( c_Natural_Oevalc(X9,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X9,X13,X3,X2))
      | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X9,X13),X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_24,plain,
    ! [X2,X3,X5,X4] :
      ( c_Natural_Oevalc(X4,X3,X2)
      | ~ c_Natural_Oevaln(X4,X3,X5,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_25,plain,
    ! [X1,X2,X3,X4] :
      ( c_Natural_Oevalc(X4,X3,X2)
      | ~ c_Natural_Oevaln(X4,X3,X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_26,plain,
    ! [X2,X3,X4] :
      ( c_Natural_Oevaln(X4,X3,c_Natural_Osko__Natural__Xeval__eq__1__1(X4,X3,X2),X2)
      | ~ c_Natural_Oevalc(X4,X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_27,plain,
    ! [X2,X3,X4] :
      ( c_Natural_Oevaln(X4,X3,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X4,X3,X2),X2)
      | ~ c_Natural_Oevalc(X4,X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_28,plain,
    ! [X2,X3,X5] :
      ( X2 = X3
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X3,X5,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_29,plain,
    ! [X6,X7,X8,X9,X10] :
      ( c_Natural_Oevalc(c_Com_Ocom_OSemi(X10,X9),X8,X6)
      | ~ c_Natural_Oevalc(X9,X7,X6)
      | ~ c_Natural_Oevalc(X10,X8,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_30,plain,
    ! [X12,X2,X3,X4] :
      ( X12 = X2
      | ~ c_Natural_Oevalc(X4,X3,X12)
      | ~ c_Natural_Oevalc(X4,X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_31,plain,
    ! [X2,X3] :
      ( X2 = X3
      | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_32,axiom,
    ! [X14,X15,X16,X17] :
      ( c_Com_Ocom_OSemi(X17,X15) != c_Com_Ocom_OSemi(X16,X14)
      | X15 = X14 ),
    c_0_13 ).

fof(c_0_33,axiom,
    ! [X14,X15,X16,X17] :
      ( c_Com_Ocom_OSemi(X17,X15) != c_Com_Ocom_OSemi(X16,X14)
      | X17 = X16 ),
    c_0_14 ).

fof(c_0_34,plain,
    ! [X2] :
      ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X2) != X2
      | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_35,axiom,
    ! [X11,X1] :
      ( c_Hoare__Mirabelle_Ostate__not__singleton
      | X1 = X11 ),
    c_0_16 ).

fof(c_0_36,plain,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_37,plain,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_38,plain,
    ! [X14,X15,X16,X17,X18] :
      ( c_Natural_Oevaln(X17,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X18,X17,X16,X15,X14),X16,X14)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X18,X17),X15,X16,X14) ),
    inference(variable_rename,[status(thm)],[c_0_19]) ).

fof(c_0_39,plain,
    ! [X14,X15,X16,X17,X18] :
      ( c_Natural_Oevaln(X18,X15,X16,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X18,X17,X16,X15,X14))
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X18,X17),X15,X16,X14) ),
    inference(variable_rename,[status(thm)],[c_0_20]) ).

fof(c_0_40,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X16,X15),X13,X14,X11)
      | ~ c_Natural_Oevaln(X15,X12,X14,X11)
      | ~ c_Natural_Oevaln(X16,X13,X14,X12) ),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

fof(c_0_41,plain,
    ! [X14,X15,X16,X17] :
      ( c_Natural_Oevalc(X16,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X17,X16,X15,X14),X14)
      | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X17,X16),X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_22]) ).

fof(c_0_42,plain,
    ! [X14,X15,X16,X17] :
      ( c_Natural_Oevalc(X17,X15,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X17,X16,X15,X14))
      | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X17,X16),X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_23]) ).

fof(c_0_43,plain,
    ! [X6,X7,X8,X9] :
      ( c_Natural_Oevalc(X9,X7,X6)
      | ~ c_Natural_Oevaln(X9,X7,X8,X6) ),
    inference(variable_rename,[status(thm)],[c_0_24]) ).

fof(c_0_44,plain,
    ! [X5,X6,X7,X8] :
      ( c_Natural_Oevalc(X8,X7,X6)
      | ~ c_Natural_Oevaln(X8,X7,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_25]) ).

fof(c_0_45,plain,
    ! [X5,X6,X7] :
      ( c_Natural_Oevaln(X7,X6,c_Natural_Osko__Natural__Xeval__eq__1__1(X7,X6,X5),X5)
      | ~ c_Natural_Oevalc(X7,X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_26]) ).

fof(c_0_46,plain,
    ! [X5,X6,X7] :
      ( c_Natural_Oevaln(X7,X6,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X7,X6,X5),X5)
      | ~ c_Natural_Oevalc(X7,X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_27]) ).

fof(c_0_47,plain,
    ! [X6,X7,X8] :
      ( X6 = X7
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X7,X8,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_28])])]) ).

fof(c_0_48,plain,
    ! [X11,X12,X13,X14,X15] :
      ( c_Natural_Oevalc(c_Com_Ocom_OSemi(X15,X14),X13,X11)
      | ~ c_Natural_Oevalc(X14,X12,X11)
      | ~ c_Natural_Oevalc(X15,X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_29]) ).

fof(c_0_49,plain,
    ! [X13,X14,X15,X16] :
      ( X13 = X14
      | ~ c_Natural_Oevalc(X16,X15,X13)
      | ~ c_Natural_Oevalc(X16,X15,X14) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_30])])]) ).

fof(c_0_50,plain,
    ! [X4,X5] :
      ( X4 = X5
      | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_31]) ).

fof(c_0_51,plain,
    ! [X18,X19,X20,X21] :
      ( c_Com_Ocom_OSemi(X21,X19) != c_Com_Ocom_OSemi(X20,X18)
      | X19 = X18 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_32])])]) ).

fof(c_0_52,plain,
    ! [X18,X19,X20,X21] :
      ( c_Com_Ocom_OSemi(X21,X19) != c_Com_Ocom_OSemi(X20,X18)
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_33]) ).

fof(c_0_53,plain,
    ! [X3] :
      ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X3) != X3
      | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_34])])]) ).

fof(c_0_54,plain,
    ! [X12,X13] :
      ( c_Hoare__Mirabelle_Ostate__not__singleton
      | X13 = X12 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_35])])]) ).

fof(c_0_55,plain,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    c_0_36 ).

fof(c_0_56,plain,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    c_0_37 ).

cnf(c_0_57,plain,
    ( c_Natural_Oevaln(X2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5),X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_58,plain,
    ( c_Natural_Oevaln(X1,X3,X4,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_59,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_60,plain,
    ( c_Natural_Oevalc(X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4),X4)
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_61,plain,
    ( c_Natural_Oevalc(X1,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_62,plain,
    ( c_Natural_Oevalc(X1,X2,X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_63,plain,
    ( c_Natural_Oevalc(X1,X2,X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_64,plain,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)
    | ~ c_Natural_Oevalc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_65,plain,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)
    | ~ c_Natural_Oevalc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_66,plain,
    ( X3 = X1
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_67,plain,
    ( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5)
    | ~ c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevalc(X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_68,plain,
    ( X4 = X3
    | ~ c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevalc(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_69,plain,
    ( X2 = X1
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_70,plain,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_71,plain,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_72,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_73,plain,
    ( X1 = X2
    | c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_74,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_75,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_76,plain,
    ( c_Natural_Oevaln(X2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5),X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
    c_0_57,
    [final] ).

cnf(c_0_77,plain,
    ( c_Natural_Oevaln(X1,X3,X4,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
    c_0_58,
    [final] ).

cnf(c_0_78,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
    c_0_59,
    [final] ).

cnf(c_0_79,plain,
    ( c_Natural_Oevalc(X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4),X4)
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
    c_0_60,
    [final] ).

cnf(c_0_80,plain,
    ( c_Natural_Oevalc(X1,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
    c_0_61,
    [final] ).

cnf(c_0_81,plain,
    ( c_Natural_Oevalc(X1,X2,X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    c_0_62,
    [final] ).

cnf(c_0_82,plain,
    ( c_Natural_Oevalc(X1,X2,X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    c_0_63,
    [final] ).

cnf(c_0_83,plain,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)
    | ~ c_Natural_Oevalc(X1,X2,X3) ),
    c_0_64,
    [final] ).

cnf(c_0_84,plain,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)
    | ~ c_Natural_Oevalc(X1,X2,X3) ),
    c_0_65,
    [final] ).

cnf(c_0_85,plain,
    ( X3 = X1
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
    c_0_66,
    [final] ).

cnf(c_0_86,plain,
    ( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5)
    | ~ c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevalc(X4,X3,X5) ),
    c_0_67,
    [final] ).

cnf(c_0_87,plain,
    ( X4 = X3
    | ~ c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevalc(X1,X2,X4) ),
    c_0_68,
    [final] ).

cnf(c_0_88,plain,
    ( X2 = X1
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X2) ),
    c_0_69,
    [final] ).

cnf(c_0_89,plain,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
    c_0_70,
    [final] ).

cnf(c_0_90,plain,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
    c_0_71,
    [final] ).

cnf(c_0_91,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1 ),
    c_0_72,
    [final] ).

cnf(c_0_92,plain,
    ( X1 = X2
    | c_Hoare__Mirabelle_Ostate__not__singleton ),
    c_0_73,
    [final] ).

cnf(c_0_93,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 ),
    c_0_74,
    [final] ).

cnf(c_0_94,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 ),
    c_0_75,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_76_0,axiom,
    ( c_Natural_Oevaln(X2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5),X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_76_1,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
    | c_Natural_Oevaln(X2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_77_0,axiom,
    ( c_Natural_Oevaln(X1,X3,X4,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_77_1,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
    | c_Natural_Oevaln(X1,X3,X4,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_78_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_1,axiom,
    ( ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
    | ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_2,axiom,
    ( ~ c_Natural_Oevaln(X5,X4,X3,X6)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_79_0,axiom,
    ( c_Natural_Oevalc(X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4),X4)
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_79_1,axiom,
    ( ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
    | c_Natural_Oevalc(X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_80_0,axiom,
    ( c_Natural_Oevalc(X1,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_80_1,axiom,
    ( ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
    | c_Natural_Oevalc(X1,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_81_0,axiom,
    ( c_Natural_Oevalc(X1,X2,X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_81_1,axiom,
    ( ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevalc(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_82_0,axiom,
    ( c_Natural_Oevalc(X1,X2,X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_1,axiom,
    ( ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevalc(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_83_0,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)
    | ~ c_Natural_Oevalc(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_83_1,axiom,
    ( ~ c_Natural_Oevalc(X1,X2,X3)
    | c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_84_0,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)
    | ~ c_Natural_Oevalc(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_84_1,axiom,
    ( ~ c_Natural_Oevalc(X1,X2,X3)
    | c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_85_0,axiom,
    ( X3 = X1
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_85_1,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3)
    | X3 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_86_0,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5)
    | ~ c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevalc(X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_86_1,axiom,
    ( ~ c_Natural_Oevalc(X1,X2,X3)
    | c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5)
    | ~ c_Natural_Oevalc(X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_86_2,axiom,
    ( ~ c_Natural_Oevalc(X4,X3,X5)
    | ~ c_Natural_Oevalc(X1,X2,X3)
    | c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_87_0,axiom,
    ( X4 = X3
    | ~ c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevalc(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_87_1,axiom,
    ( ~ c_Natural_Oevalc(X1,X2,X3)
    | X4 = X3
    | ~ c_Natural_Oevalc(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_87_2,axiom,
    ( ~ c_Natural_Oevalc(X1,X2,X4)
    | ~ c_Natural_Oevalc(X1,X2,X3)
    | X4 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_88_0,axiom,
    ( X2 = X1
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_1,axiom,
    ( ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X2)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_89_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_1,axiom,
    ( c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_90_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_90]) ).

cnf(c_0_90_1,axiom,
    ( c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_90]) ).

cnf(c_0_91_0,axiom,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_91_1,axiom,
    ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_92_0,axiom,
    ( X1 = X2
    | c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_92_1,axiom,
    ( c_Hoare__Mirabelle_Ostate__not__singleton
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_93_0,axiom,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_1,axiom,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_94_0,axiom,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_1,axiom,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_021,negated_conjecture,
    ! [X2] : ~ c_Natural_Oevalc(v_c,v_Z,X2),
    file('<stdin>',cls_conjecture_2) ).

fof(c_0_1_022,negated_conjecture,
    ! [X1] : X1 = v_s_H,
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_2_023,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_3_024,negated_conjecture,
    ! [X2] : ~ c_Natural_Oevalc(v_c,v_Z,X2),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_4_025,negated_conjecture,
    ! [X1] : X1 = v_s_H,
    c_0_1 ).

fof(c_0_5_026,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    c_0_2 ).

fof(c_0_6_027,negated_conjecture,
    ! [X3] : ~ c_Natural_Oevalc(v_c,v_Z,X3),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

fof(c_0_7_028,negated_conjecture,
    ! [X2] : X2 = v_s_H,
    inference(variable_rename,[status(thm)],[c_0_4]) ).

fof(c_0_8_029,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    c_0_5 ).

cnf(c_0_9_030,negated_conjecture,
    ~ c_Natural_Oevalc(v_c,v_Z,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10_031,negated_conjecture,
    X1 = v_s_H,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11_032,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12_033,negated_conjecture,
    ~ c_Natural_Oevalc(v_c,v_Z,X1),
    c_0_9,
    [final] ).

cnf(c_0_13_034,negated_conjecture,
    X1 = v_s_H,
    c_0_10,
    [final] ).

cnf(c_0_14_035,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    c_0_11,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_47,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox/tmp/iprover_modulo_f4617e.p',c_0_14) ).

cnf(c_70,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(copy,[status(esa)],[c_47]) ).

cnf(c_80,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(copy,[status(esa)],[c_70]) ).

cnf(c_81,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(copy,[status(esa)],[c_80]) ).

cnf(c_86,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(copy,[status(esa)],[c_81]) ).

cnf(c_229,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(copy,[status(esa)],[c_86]) ).

cnf(c_33,plain,
    ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f4617e.p',c_0_91_0) ).

cnf(c_201,plain,
    ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(copy,[status(esa)],[c_33]) ).

cnf(c_202,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0 ),
    inference(rewriting,[status(thm)],[c_201]) ).

cnf(c_234,plain,
    v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0,
    inference(backward_subsumption_resolution,[status(thm)],[c_229,c_202]) ).

cnf(c_237,plain,
    v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0,
    inference(rewriting,[status(thm)],[c_234]) ).

cnf(c_46,negated_conjecture,
    X0 = v_s_H,
    file('/export/starexec/sandbox/tmp/iprover_modulo_f4617e.p',c_0_13) ).

cnf(c_68,negated_conjecture,
    X0 = v_s_H,
    inference(copy,[status(esa)],[c_46]) ).

cnf(c_79,negated_conjecture,
    X0 = v_s_H,
    inference(copy,[status(esa)],[c_68]) ).

cnf(c_82,negated_conjecture,
    X0 = v_s_H,
    inference(copy,[status(esa)],[c_79]) ).

cnf(c_85,negated_conjecture,
    X0 = v_s_H,
    inference(copy,[status(esa)],[c_82]) ).

cnf(c_227,negated_conjecture,
    X0 = v_s_H,
    inference(copy,[status(esa)],[c_85]) ).

cnf(c_359,plain,
    $false,
    inference(resolution,[status(thm)],[c_237,c_227]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV866-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.14/0.34  % Computer : n010.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 : Thu Jun 16 00:59:39 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Running in mono-core mode
% 0.14/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.14/0.41  % Orientation found
% 0.14/0.41  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_1222ab.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f4617e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_1fc7d8 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_1222ab.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  % ------ Parsing...% successful
% 0.20/0.44  
% 0.20/0.44  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % ------ Problem Properties 
% 0.20/0.44  
% 0.20/0.44  % 
% 0.20/0.44  % EPR                                   false
% 0.20/0.44  % Horn                                  false
% 0.20/0.44  % Has equality                          true
% 0.20/0.44  
% 0.20/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % % ------ Current options:
% 0.20/0.44  
% 0.20/0.44  % ------ Input Options
% 0.20/0.44  
% 0.20/0.44  % --out_options                         all
% 0.20/0.44  % --tptp_safe_out                       true
% 0.20/0.44  % --problem_path                        ""
% 0.20/0.44  % --include_path                        ""
% 0.20/0.44  % --clausifier                          .//eprover
% 0.20/0.44  % --clausifier_options                  --tstp-format  
% 0.20/0.44  % --stdin                               false
% 0.20/0.44  % --dbg_backtrace                       false
% 0.20/0.44  % --dbg_dump_prop_clauses               false
% 0.20/0.44  % --dbg_dump_prop_clauses_file          -
% 0.20/0.44  % --dbg_out_stat                        false
% 0.20/0.44  
% 0.20/0.44  % ------ General Options
% 0.20/0.44  
% 0.20/0.44  % --fof                                 false
% 0.20/0.44  % --time_out_real                       150.
% 0.20/0.44  % --time_out_prep_mult                  0.2
% 0.20/0.44  % --time_out_virtual                    -1.
% 0.20/0.44  % --schedule                            none
% 0.20/0.44  % --ground_splitting                    input
% 0.20/0.44  % --splitting_nvd                       16
% 0.20/0.44  % --non_eq_to_eq                        false
% 0.20/0.44  % --prep_gs_sim                         true
% 0.20/0.44  % --prep_unflatten                      false
% 0.20/0.44  % --prep_res_sim                        true
% 0.20/0.44  % --prep_upred                          true
% 0.20/0.44  % --res_sim_input                       true
% 0.20/0.44  % --clause_weak_htbl                    true
% 0.20/0.44  % --gc_record_bc_elim                   false
% 0.20/0.44  % --symbol_type_check                   false
% 0.20/0.44  % --clausify_out                        false
% 0.20/0.44  % --large_theory_mode                   false
% 0.20/0.44  % --prep_sem_filter                     none
% 0.20/0.44  % --prep_sem_filter_out                 false
% 0.20/0.44  % --preprocessed_out                    false
% 0.20/0.44  % --sub_typing                          false
% 0.20/0.44  % --brand_transform                     false
% 0.20/0.44  % --pure_diseq_elim                     true
% 0.20/0.44  % --min_unsat_core                      false
% 0.20/0.44  % --pred_elim                           true
% 0.20/0.44  % --add_important_lit                   false
% 0.20/0.44  % --soft_assumptions                    false
% 0.20/0.44  % --reset_solvers                       false
% 0.20/0.44  % --bc_imp_inh                          []
% 0.20/0.44  % --conj_cone_tolerance                 1.5
% 0.20/0.44  % --prolific_symb_bound                 500
% 0.20/0.44  % --lt_threshold                        2000
% 0.20/0.44  
% 0.20/0.44  % ------ SAT Options
% 0.20/0.44  
% 0.20/0.44  % --sat_mode                            false
% 0.20/0.44  % --sat_fm_restart_options              ""
% 0.20/0.44  % --sat_gr_def                          false
% 0.20/0.44  % --sat_epr_types                       true
% 0.20/0.44  % --sat_non_cyclic_types                false
% 0.20/0.44  % --sat_finite_models                   false
% 0.20/0.44  % --sat_fm_lemmas                       false
% 0.20/0.44  % --sat_fm_prep                         false
% 0.20/0.44  % --sat_fm_uc_incr                      true
% 0.20/0.44  % --sat_out_model                       small
% 0.20/0.44  % --sat_out_clauses                     false
% 0.20/0.44  
% 0.20/0.44  % ------ QBF Options
% 0.20/0.44  
% 0.20/0.44  % --qbf_mode                            false
% 0.20/0.44  % --qbf_elim_univ                       true
% 0.20/0.44  % --qbf_sk_in                           true
% 0.20/0.44  % --qbf_pred_elim                       true
% 0.20/0.44  % --qbf_split                           32
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1 Options
% 0.20/0.44  
% 0.20/0.44  % --bmc1_incremental                    false
% 0.20/0.44  % --bmc1_axioms                         reachable_all
% 0.20/0.44  % --bmc1_min_bound                      0
% 0.20/0.44  % --bmc1_max_bound                      -1
% 0.20/0.44  % --bmc1_max_bound_default              -1
% 0.20/0.44  % --bmc1_symbol_reachability            true
% 0.20/0.44  % --bmc1_property_lemmas                false
% 0.20/0.44  % --bmc1_k_induction                    false
% 0.20/0.44  % --bmc1_non_equiv_states               false
% 0.20/0.44  % --bmc1_deadlock                       false
% 0.20/0.44  % --bmc1_ucm                            false
% 0.20/0.44  % --bmc1_add_unsat_core                 none
% 0.20/0.44  % --bmc1_unsat_core_children            false
% 0.20/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.44  % --bmc1_out_stat                       full
% 0.20/0.44  % --bmc1_ground_init                    false
% 0.20/0.44  % --bmc1_pre_inst_next_state            false
% 0.20/0.44  % --bmc1_pre_inst_state                 false
% 0.20/0.44  % --bmc1_pre_inst_reach_state           false
% 0.20/0.44  % --bmc1_out_unsat_core                 false
% 0.20/0.44  % --bmc1_aig_witness_out                false
% 0.20/0.44  % --bmc1_verbose                        false
% 0.20/0.44  % --bmc1_dump_clauses_tptp              false
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_1222ab.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  %  Resolution empty clause
% 0.20/0.44  
% 0.20/0.44  % ------                             Statistics
% 0.20/0.44  
% 0.20/0.44  % ------ General
% 0.20/0.44  
% 0.20/0.44  % num_of_input_clauses:                 48
% 0.20/0.44  % num_of_input_neg_conjectures:         3
% 0.20/0.44  % num_of_splits:                        0
% 0.20/0.44  % num_of_split_atoms:                   0
% 0.20/0.44  % num_of_sem_filtered_clauses:          0
% 0.20/0.44  % num_of_subtypes:                      0
% 0.20/0.44  % monotx_restored_types:                0
% 0.20/0.44  % sat_num_of_epr_types:                 0
% 0.20/0.44  % sat_num_of_non_cyclic_types:          0
% 0.20/0.44  % sat_guarded_non_collapsed_types:      0
% 0.20/0.44  % is_epr:                               0
% 0.20/0.44  % is_horn:                              0
% 0.20/0.44  % has_eq:                               1
% 0.20/0.44  % num_pure_diseq_elim:                  0
% 0.20/0.44  % simp_replaced_by:                     0
% 0.20/0.44  % res_preprocessed:                     6
% 0.20/0.44  % prep_upred:                           0
% 0.20/0.44  % prep_unflattend:                      0
% 0.20/0.44  % pred_elim_cands:                      0
% 0.20/0.44  % pred_elim:                            0
% 0.20/0.44  % pred_elim_cl:                         0
% 0.20/0.44  % pred_elim_cycles:                     0
% 0.20/0.44  % forced_gc_time:                       0
% 0.20/0.44  % gc_basic_clause_elim:                 0
% 0.20/0.44  % parsing_time:                         0.002
% 0.20/0.44  % sem_filter_time:                      0.
% 0.20/0.44  % pred_elim_time:                       0.
% 0.20/0.44  % out_proof_time:                       0.001
% 0.20/0.44  % monotx_time:                          0.
% 0.20/0.44  % subtype_inf_time:                     0.
% 0.20/0.44  % unif_index_cands_time:                0.
% 0.20/0.44  % unif_index_add_time:                  0.
% 0.20/0.44  % total_time:                           0.029
% 0.20/0.44  % num_of_symbols:                       42
% 0.20/0.44  % num_of_terms:                         301
% 0.20/0.44  
% 0.20/0.44  % ------ Propositional Solver
% 0.20/0.44  
% 0.20/0.44  % prop_solver_calls:                    1
% 0.20/0.44  % prop_fast_solver_calls:               9
% 0.20/0.44  % prop_num_of_clauses:                  54
% 0.20/0.44  % prop_preprocess_simplified:           168
% 0.20/0.44  % prop_fo_subsumed:                     0
% 0.20/0.44  % prop_solver_time:                     0.
% 0.20/0.44  % prop_fast_solver_time:                0.
% 0.20/0.44  % prop_unsat_core_time:                 0.
% 0.20/0.44  
% 0.20/0.44  % ------ QBF 
% 0.20/0.44  
% 0.20/0.44  % qbf_q_res:                            0
% 0.20/0.44  % qbf_num_tautologies:                  0
% 0.20/0.44  % qbf_prep_cycles:                      0
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1
% 0.20/0.44  
% 0.20/0.44  % bmc1_current_bound:                   -1
% 0.20/0.44  % bmc1_last_solved_bound:               -1
% 0.20/0.44  % bmc1_unsat_core_size:                 -1
% 0.20/0.44  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.44  % bmc1_merge_next_fun:                  0
% 0.20/0.44  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation
% 0.20/0.44  
% 0.20/0.44  % inst_num_of_clauses:                  46
% 0.20/0.44  % inst_num_in_passive:                  0
% 0.20/0.44  % inst_num_in_active:                   0
% 0.20/0.44  % inst_num_in_unprocessed:              48
% 0.20/0.44  % inst_num_of_loops:                    0
% 0.20/0.44  % inst_num_of_learning_restarts:        0
% 0.20/0.44  % inst_num_moves_active_passive:        0
% 0.20/0.44  % inst_lit_activity:                    0
% 0.20/0.44  % inst_lit_activity_moves:              0
% 0.20/0.44  % inst_num_tautologies:                 0
% 0.20/0.44  % inst_num_prop_implied:                0
% 0.20/0.44  % inst_num_existing_simplified:         0
% 0.20/0.44  % inst_num_eq_res_simplified:           0
% 0.20/0.44  % inst_num_child_elim:                  0
% 0.20/0.44  % inst_num_of_dismatching_blockings:    0
% 0.20/0.44  % inst_num_of_non_proper_insts:         0
% 0.20/0.44  % inst_num_of_duplicates:               0
% 0.20/0.44  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.44  % inst_dismatching_checking_time:       0.
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution
% 0.20/0.44  
% 0.20/0.44  % res_num_of_clauses:                   78
% 0.20/0.44  % res_num_in_passive:                   22
% 0.20/0.44  % res_num_in_active:                    34
% 0.20/0.44  % res_num_of_loops:                     18
% 0.20/0.44  % res_forward_subset_subsumed:          31
% 0.20/0.44  % res_backward_subset_subsumed:         1
% 0.20/0.44  % res_forward_subsumed:                 4
% 0.20/0.44  % res_backward_subsumed:                0
% 0.20/0.44  % res_forward_subsumption_resolution:   0
% 0.20/0.44  % res_backward_subsumption_resolution:  3
% 0.20/0.44  % res_clause_to_clause_subsumption:     10
% 0.20/0.44  % res_orphan_elimination:               0
% 0.20/0.44  % res_tautology_del:                    0
% 0.20/0.44  % res_num_eq_res_simplified:            0
% 0.20/0.44  % res_num_sel_changes:                  0
% 0.20/0.44  % res_moves_from_active_to_pass:        0
% 0.20/0.44  
% 0.20/0.44  % Status Unsatisfiable
% 0.20/0.44  % SZS status Unsatisfiable
% 0.20/0.44  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------