TSTP Solution File: SYN014-2 by iProverMo---2.5-0.1

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SYN014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n020.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 : Thu Jul 21 07:22:20 EDT 2022

% Result   : Unsatisfiable 0.18s 0.42s
% Output   : CNFRefutation 0.18s
% 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(reflexivityish,axiom,
    equalish(X,X),
    input ).

fof(reflexivityish_0,plain,
    ! [X] :
      ( equalish(X,X)
      | $false ),
    inference(orientation,[status(thm)],[reflexivityish]) ).

fof(def_lhs_atom1,axiom,
    ! [X] :
      ( lhs_atom1(X)
    <=> equalish(X,X) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [X] :
      ( lhs_atom1(X)
      | $false ),
    inference(fold_definition,[status(thm)],[reflexivityish_0,def_lhs_atom1]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1] :
      ( lhs_atom1(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_1,plain,
    ! [X1] : lhs_atom1(X1),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2,plain,
    ! [X2] : lhs_atom1(X2),
    inference(variable_rename,[status(thm)],[c_0_1]) ).

cnf(c_0_3,plain,
    lhs_atom1(X1),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,plain,
    lhs_atom1(X1),
    c_0_3,
    [final] ).

% End CNF derivation
cnf(c_0_4_0,axiom,
    equalish(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_4,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X4,X5,X6] :
      ( ~ equalish(X6,X5)
      | ~ equalish(X5,X4)
      | equalish(X6,X4) ),
    file('<stdin>',transitivityish) ).

fof(c_0_1_002,axiom,
    ! [X1,X2,X3] :
      ( ~ equalish(X3,X2)
      | ~ element(X1,X3)
      | element(X1,X2) ),
    file('<stdin>',element_substitutionish1) ).

fof(c_0_2_003,axiom,
    ! [X1,X2,X3] :
      ( ~ element(X3,X2)
      | ~ equalish(X3,X1)
      | element(X1,X2) ),
    file('<stdin>',element_substitutionish2) ).

fof(c_0_3_004,axiom,
    ! [X5,X6] :
      ( ~ equalish(X6,X5)
      | equalish(X5,X6) ),
    file('<stdin>',symmetryish) ).

fof(c_0_4_005,plain,
    ! [X4,X5,X6] :
      ( ~ equalish(X6,X5)
      | ~ equalish(X5,X4)
      | equalish(X6,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_5,plain,
    ! [X1,X2,X3] :
      ( ~ equalish(X3,X2)
      | ~ element(X1,X3)
      | element(X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_6,plain,
    ! [X1,X2,X3] :
      ( ~ element(X3,X2)
      | ~ equalish(X3,X1)
      | element(X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_7,plain,
    ! [X5,X6] :
      ( ~ equalish(X6,X5)
      | equalish(X5,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_8,plain,
    ! [X7,X8,X9] :
      ( ~ equalish(X9,X8)
      | ~ equalish(X8,X7)
      | equalish(X9,X7) ),
    inference(variable_rename,[status(thm)],[c_0_4]) ).

fof(c_0_9,plain,
    ! [X4,X5,X6] :
      ( ~ equalish(X6,X5)
      | ~ element(X4,X6)
      | element(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

fof(c_0_10,plain,
    ! [X4,X5,X6] :
      ( ~ element(X6,X5)
      | ~ equalish(X6,X4)
      | element(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ! [X7,X8] :
      ( ~ equalish(X8,X7)
      | equalish(X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( equalish(X1,X2)
    | ~ equalish(X3,X2)
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( element(X1,X2)
    | ~ element(X1,X3)
    | ~ equalish(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( element(X1,X2)
    | ~ equalish(X3,X1)
    | ~ element(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( equalish(X1,X2)
    | ~ equalish(X3,X2)
    | ~ equalish(X1,X3) ),
    c_0_12,
    [final] ).

cnf(c_0_17,plain,
    ( element(X1,X2)
    | ~ element(X1,X3)
    | ~ equalish(X3,X2) ),
    c_0_13,
    [final] ).

cnf(c_0_18,plain,
    ( element(X1,X2)
    | ~ equalish(X3,X1)
    | ~ element(X3,X2) ),
    c_0_14,
    [final] ).

cnf(c_0_19,plain,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    c_0_15,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_16_0,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X3,X2)
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_16_1,axiom,
    ( ~ equalish(X3,X2)
    | equalish(X1,X2)
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_16_2,axiom,
    ( ~ equalish(X1,X3)
    | ~ equalish(X3,X2)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_17_0,axiom,
    ( element(X1,X2)
    | ~ element(X1,X3)
    | ~ equalish(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_17_1,axiom,
    ( ~ element(X1,X3)
    | element(X1,X2)
    | ~ equalish(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_17_2,axiom,
    ( ~ equalish(X3,X2)
    | ~ element(X1,X3)
    | element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_18_0,axiom,
    ( element(X1,X2)
    | ~ equalish(X3,X1)
    | ~ element(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_18]) ).

cnf(c_0_18_1,axiom,
    ( ~ equalish(X3,X1)
    | element(X1,X2)
    | ~ element(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_18]) ).

cnf(c_0_18_2,axiom,
    ( ~ element(X3,X2)
    | ~ equalish(X3,X1)
    | element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_18]) ).

cnf(c_0_19_0,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_19]) ).

cnf(c_0_19_1,axiom,
    ( ~ equalish(X2,X1)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_19]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,negated_conjecture,
    ! [X2,X1] :
      ( ~ element(X1,X2)
      | ~ element(X2,X1)
      | equalish(X1,X2)
      | equalish(X1,n)
      | ~ element(X2,n)
      | equalish(X2,n) ),
    file('<stdin>',c_14) ).

fof(c_0_1_007,negated_conjecture,
    ! [X2,X1] :
      ( ~ element(X1,X2)
      | ~ element(X2,X1)
      | equalish(X1,X2)
      | equalish(X1,m)
      | element(X2,m)
      | equalish(X2,m) ),
    file('<stdin>',c_9) ).

fof(c_0_2_008,negated_conjecture,
    ! [X1] :
      ( ~ equalish(f(X1),X1)
      | ~ element(X1,m)
      | equalish(X1,m) ),
    file('<stdin>',c_6) ).

fof(c_0_3_009,negated_conjecture,
    ! [X1] :
      ( ~ equalish(f(X1),m)
      | ~ element(X1,m)
      | equalish(X1,m) ),
    file('<stdin>',c_5) ).

fof(c_0_4_010,negated_conjecture,
    ! [X1] :
      ( ~ element(X1,k)
      | equalish(X1,n)
      | equalish(X1,m)
      | equalish(X1,k) ),
    file('<stdin>',c_17) ).

fof(c_0_5_011,negated_conjecture,
    ! [X1] :
      ( ~ equalish(g(X1),X1)
      | element(X1,n)
      | equalish(X1,n) ),
    file('<stdin>',c_11) ).

fof(c_0_6_012,negated_conjecture,
    ! [X1] :
      ( ~ equalish(g(X1),n)
      | element(X1,n)
      | equalish(X1,n) ),
    file('<stdin>',c_10) ).

fof(c_0_7_013,negated_conjecture,
    ! [X1] :
      ( element(f(X1),X1)
      | ~ element(X1,m)
      | equalish(X1,m) ),
    file('<stdin>',c_8) ).

fof(c_0_8_014,negated_conjecture,
    ! [X1] :
      ( element(X1,f(X1))
      | ~ element(X1,m)
      | equalish(X1,m) ),
    file('<stdin>',c_7) ).

fof(c_0_9_015,negated_conjecture,
    ! [X1] :
      ( element(g(X1),X1)
      | element(X1,n)
      | equalish(X1,n) ),
    file('<stdin>',c_13) ).

fof(c_0_10_016,negated_conjecture,
    ! [X1] :
      ( element(X1,g(X1))
      | element(X1,n)
      | equalish(X1,n) ),
    file('<stdin>',c_12) ).

fof(c_0_11_017,negated_conjecture,
    ! [X1] :
      ( ~ equalish(X1,n)
      | element(X1,k)
      | equalish(X1,k) ),
    file('<stdin>',c_16) ).

fof(c_0_12_018,negated_conjecture,
    ! [X1] :
      ( ~ equalish(X1,m)
      | element(X1,k)
      | equalish(X1,k) ),
    file('<stdin>',c_15) ).

fof(c_0_13_019,negated_conjecture,
    ! [X1] :
      ( ~ equalish(X1,k)
      | element(X1,a)
      | equalish(X1,a) ),
    file('<stdin>',c_4) ).

fof(c_0_14_020,negated_conjecture,
    ! [X1] :
      ( ~ element(X1,a)
      | equalish(X1,k)
      | equalish(X1,a) ),
    file('<stdin>',c_3) ).

fof(c_0_15_021,negated_conjecture,
    ~ equalish(k,a),
    file('<stdin>',c_22) ).

fof(c_0_16_022,negated_conjecture,
    ~ equalish(m,a),
    file('<stdin>',c_21) ).

fof(c_0_17_023,negated_conjecture,
    ~ equalish(m,n),
    file('<stdin>',c_19) ).

fof(c_0_18_024,negated_conjecture,
    ~ equalish(n,a),
    file('<stdin>',c_18) ).

fof(c_0_19_025,negated_conjecture,
    equalish(m,k),
    file('<stdin>',c_23) ).

fof(c_0_20,negated_conjecture,
    equalish(n,k),
    file('<stdin>',c_20) ).

fof(c_0_21,negated_conjecture,
    ! [X2,X1] :
      ( ~ element(X1,X2)
      | ~ element(X2,X1)
      | equalish(X1,X2)
      | equalish(X1,n)
      | ~ element(X2,n)
      | equalish(X2,n) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_22,negated_conjecture,
    ! [X2,X1] :
      ( ~ element(X1,X2)
      | ~ element(X2,X1)
      | equalish(X1,X2)
      | equalish(X1,m)
      | element(X2,m)
      | equalish(X2,m) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_23,negated_conjecture,
    ! [X1] :
      ( ~ equalish(f(X1),X1)
      | ~ element(X1,m)
      | equalish(X1,m) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_24,negated_conjecture,
    ! [X1] :
      ( ~ equalish(f(X1),m)
      | ~ element(X1,m)
      | equalish(X1,m) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_25,negated_conjecture,
    ! [X1] :
      ( ~ element(X1,k)
      | equalish(X1,n)
      | equalish(X1,m)
      | equalish(X1,k) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_26,negated_conjecture,
    ! [X1] :
      ( ~ equalish(g(X1),X1)
      | element(X1,n)
      | equalish(X1,n) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_27,negated_conjecture,
    ! [X1] :
      ( ~ equalish(g(X1),n)
      | element(X1,n)
      | equalish(X1,n) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_28,negated_conjecture,
    ! [X1] :
      ( element(f(X1),X1)
      | ~ element(X1,m)
      | equalish(X1,m) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_29,negated_conjecture,
    ! [X1] :
      ( element(X1,f(X1))
      | ~ element(X1,m)
      | equalish(X1,m) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_30,negated_conjecture,
    ! [X1] :
      ( element(g(X1),X1)
      | element(X1,n)
      | equalish(X1,n) ),
    c_0_9 ).

fof(c_0_31,negated_conjecture,
    ! [X1] :
      ( element(X1,g(X1))
      | element(X1,n)
      | equalish(X1,n) ),
    c_0_10 ).

fof(c_0_32,negated_conjecture,
    ! [X1] :
      ( ~ equalish(X1,n)
      | element(X1,k)
      | equalish(X1,k) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_33,negated_conjecture,
    ! [X1] :
      ( ~ equalish(X1,m)
      | element(X1,k)
      | equalish(X1,k) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_34,negated_conjecture,
    ! [X1] :
      ( ~ equalish(X1,k)
      | element(X1,a)
      | equalish(X1,a) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_35,negated_conjecture,
    ! [X1] :
      ( ~ element(X1,a)
      | equalish(X1,k)
      | equalish(X1,a) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_36,negated_conjecture,
    ~ equalish(k,a),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_37,negated_conjecture,
    ~ equalish(m,a),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_38,negated_conjecture,
    ~ equalish(m,n),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_39,negated_conjecture,
    ~ equalish(n,a),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_40,negated_conjecture,
    equalish(m,k),
    c_0_19 ).

fof(c_0_41,negated_conjecture,
    equalish(n,k),
    c_0_20 ).

fof(c_0_42,negated_conjecture,
    ! [X3,X4] :
      ( ~ element(X4,X3)
      | ~ element(X3,X4)
      | equalish(X4,X3)
      | equalish(X4,n)
      | ~ element(X3,n)
      | equalish(X3,n) ),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

fof(c_0_43,negated_conjecture,
    ! [X3,X4] :
      ( ~ element(X4,X3)
      | ~ element(X3,X4)
      | equalish(X4,X3)
      | equalish(X4,m)
      | element(X3,m)
      | equalish(X3,m) ),
    inference(variable_rename,[status(thm)],[c_0_22]) ).

fof(c_0_44,negated_conjecture,
    ! [X2] :
      ( ~ equalish(f(X2),X2)
      | ~ element(X2,m)
      | equalish(X2,m) ),
    inference(variable_rename,[status(thm)],[c_0_23]) ).

fof(c_0_45,negated_conjecture,
    ! [X2] :
      ( ~ equalish(f(X2),m)
      | ~ element(X2,m)
      | equalish(X2,m) ),
    inference(variable_rename,[status(thm)],[c_0_24]) ).

fof(c_0_46,negated_conjecture,
    ! [X2] :
      ( ~ element(X2,k)
      | equalish(X2,n)
      | equalish(X2,m)
      | equalish(X2,k) ),
    inference(variable_rename,[status(thm)],[c_0_25]) ).

fof(c_0_47,negated_conjecture,
    ! [X2] :
      ( ~ equalish(g(X2),X2)
      | element(X2,n)
      | equalish(X2,n) ),
    inference(variable_rename,[status(thm)],[c_0_26]) ).

fof(c_0_48,negated_conjecture,
    ! [X2] :
      ( ~ equalish(g(X2),n)
      | element(X2,n)
      | equalish(X2,n) ),
    inference(variable_rename,[status(thm)],[c_0_27]) ).

fof(c_0_49,negated_conjecture,
    ! [X2] :
      ( element(f(X2),X2)
      | ~ element(X2,m)
      | equalish(X2,m) ),
    inference(variable_rename,[status(thm)],[c_0_28]) ).

fof(c_0_50,negated_conjecture,
    ! [X2] :
      ( element(X2,f(X2))
      | ~ element(X2,m)
      | equalish(X2,m) ),
    inference(variable_rename,[status(thm)],[c_0_29]) ).

fof(c_0_51,negated_conjecture,
    ! [X2] :
      ( element(g(X2),X2)
      | element(X2,n)
      | equalish(X2,n) ),
    inference(variable_rename,[status(thm)],[c_0_30]) ).

fof(c_0_52,negated_conjecture,
    ! [X2] :
      ( element(X2,g(X2))
      | element(X2,n)
      | equalish(X2,n) ),
    inference(variable_rename,[status(thm)],[c_0_31]) ).

fof(c_0_53,negated_conjecture,
    ! [X2] :
      ( ~ equalish(X2,n)
      | element(X2,k)
      | equalish(X2,k) ),
    inference(variable_rename,[status(thm)],[c_0_32]) ).

fof(c_0_54,negated_conjecture,
    ! [X2] :
      ( ~ equalish(X2,m)
      | element(X2,k)
      | equalish(X2,k) ),
    inference(variable_rename,[status(thm)],[c_0_33]) ).

fof(c_0_55,negated_conjecture,
    ! [X2] :
      ( ~ equalish(X2,k)
      | element(X2,a)
      | equalish(X2,a) ),
    inference(variable_rename,[status(thm)],[c_0_34]) ).

fof(c_0_56,negated_conjecture,
    ! [X2] :
      ( ~ element(X2,a)
      | equalish(X2,k)
      | equalish(X2,a) ),
    inference(variable_rename,[status(thm)],[c_0_35]) ).

fof(c_0_57,negated_conjecture,
    ~ equalish(k,a),
    c_0_36 ).

fof(c_0_58,negated_conjecture,
    ~ equalish(m,a),
    c_0_37 ).

fof(c_0_59,negated_conjecture,
    ~ equalish(m,n),
    c_0_38 ).

fof(c_0_60,negated_conjecture,
    ~ equalish(n,a),
    c_0_39 ).

fof(c_0_61,negated_conjecture,
    equalish(m,k),
    c_0_40 ).

fof(c_0_62,negated_conjecture,
    equalish(n,k),
    c_0_41 ).

cnf(c_0_63,negated_conjecture,
    ( equalish(X1,n)
    | equalish(X2,n)
    | equalish(X2,X1)
    | ~ element(X1,n)
    | ~ element(X1,X2)
    | ~ element(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_64,negated_conjecture,
    ( equalish(X1,m)
    | element(X1,m)
    | equalish(X2,m)
    | equalish(X2,X1)
    | ~ element(X1,X2)
    | ~ element(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_65,negated_conjecture,
    ( equalish(X1,m)
    | ~ element(X1,m)
    | ~ equalish(f(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_66,negated_conjecture,
    ( equalish(X1,m)
    | ~ element(X1,m)
    | ~ equalish(f(X1),m) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_67,negated_conjecture,
    ( equalish(X1,k)
    | equalish(X1,m)
    | equalish(X1,n)
    | ~ element(X1,k) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_68,negated_conjecture,
    ( equalish(X1,n)
    | element(X1,n)
    | ~ equalish(g(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_69,negated_conjecture,
    ( equalish(X1,n)
    | element(X1,n)
    | ~ equalish(g(X1),n) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_70,negated_conjecture,
    ( equalish(X1,m)
    | element(f(X1),X1)
    | ~ element(X1,m) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_71,negated_conjecture,
    ( equalish(X1,m)
    | element(X1,f(X1))
    | ~ element(X1,m) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_72,negated_conjecture,
    ( equalish(X1,n)
    | element(X1,n)
    | element(g(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_73,negated_conjecture,
    ( equalish(X1,n)
    | element(X1,n)
    | element(X1,g(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_74,negated_conjecture,
    ( equalish(X1,k)
    | element(X1,k)
    | ~ equalish(X1,n) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_75,negated_conjecture,
    ( equalish(X1,k)
    | element(X1,k)
    | ~ equalish(X1,m) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_76,negated_conjecture,
    ( equalish(X1,a)
    | element(X1,a)
    | ~ equalish(X1,k) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_77,negated_conjecture,
    ( equalish(X1,a)
    | equalish(X1,k)
    | ~ element(X1,a) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_78,negated_conjecture,
    ~ equalish(k,a),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_79,negated_conjecture,
    ~ equalish(m,a),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_80,negated_conjecture,
    ~ equalish(m,n),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_81,negated_conjecture,
    ~ equalish(n,a),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_82,negated_conjecture,
    equalish(m,k),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_83,negated_conjecture,
    equalish(n,k),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_84,negated_conjecture,
    ( equalish(X1,n)
    | equalish(X2,n)
    | equalish(X2,X1)
    | ~ element(X1,n)
    | ~ element(X1,X2)
    | ~ element(X2,X1) ),
    c_0_63,
    [final] ).

cnf(c_0_85,negated_conjecture,
    ( equalish(X1,m)
    | element(X1,m)
    | equalish(X2,m)
    | equalish(X2,X1)
    | ~ element(X1,X2)
    | ~ element(X2,X1) ),
    c_0_64,
    [final] ).

cnf(c_0_86,negated_conjecture,
    ( equalish(X1,m)
    | ~ element(X1,m)
    | ~ equalish(f(X1),X1) ),
    c_0_65,
    [final] ).

cnf(c_0_87,negated_conjecture,
    ( equalish(X1,m)
    | ~ element(X1,m)
    | ~ equalish(f(X1),m) ),
    c_0_66,
    [final] ).

cnf(c_0_88,negated_conjecture,
    ( equalish(X1,k)
    | equalish(X1,m)
    | equalish(X1,n)
    | ~ element(X1,k) ),
    c_0_67,
    [final] ).

cnf(c_0_89,negated_conjecture,
    ( equalish(X1,n)
    | element(X1,n)
    | ~ equalish(g(X1),X1) ),
    c_0_68,
    [final] ).

cnf(c_0_90,negated_conjecture,
    ( equalish(X1,n)
    | element(X1,n)
    | ~ equalish(g(X1),n) ),
    c_0_69,
    [final] ).

cnf(c_0_91,negated_conjecture,
    ( equalish(X1,m)
    | element(f(X1),X1)
    | ~ element(X1,m) ),
    c_0_70,
    [final] ).

cnf(c_0_92,negated_conjecture,
    ( equalish(X1,m)
    | element(X1,f(X1))
    | ~ element(X1,m) ),
    c_0_71,
    [final] ).

cnf(c_0_93,negated_conjecture,
    ( equalish(X1,n)
    | element(X1,n)
    | element(g(X1),X1) ),
    c_0_72,
    [final] ).

cnf(c_0_94,negated_conjecture,
    ( equalish(X1,n)
    | element(X1,n)
    | element(X1,g(X1)) ),
    c_0_73,
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( equalish(X1,k)
    | element(X1,k)
    | ~ equalish(X1,n) ),
    c_0_74,
    [final] ).

cnf(c_0_96,negated_conjecture,
    ( equalish(X1,k)
    | element(X1,k)
    | ~ equalish(X1,m) ),
    c_0_75,
    [final] ).

cnf(c_0_97,negated_conjecture,
    ( equalish(X1,a)
    | element(X1,a)
    | ~ equalish(X1,k) ),
    c_0_76,
    [final] ).

cnf(c_0_98,negated_conjecture,
    ( equalish(X1,a)
    | equalish(X1,k)
    | ~ element(X1,a) ),
    c_0_77,
    [final] ).

cnf(c_0_99,negated_conjecture,
    ~ equalish(k,a),
    c_0_78,
    [final] ).

cnf(c_0_100,negated_conjecture,
    ~ equalish(m,a),
    c_0_79,
    [final] ).

cnf(c_0_101,negated_conjecture,
    ~ equalish(m,n),
    c_0_80,
    [final] ).

cnf(c_0_102,negated_conjecture,
    ~ equalish(n,a),
    c_0_81,
    [final] ).

cnf(c_0_103,negated_conjecture,
    equalish(m,k),
    c_0_82,
    [final] ).

cnf(c_0_104,negated_conjecture,
    equalish(n,k),
    c_0_83,
    [final] ).

% End CNF derivation

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

cnf(c_32,negated_conjecture,
    equalish(n,k),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5ff598.p',c_0_104) ).

cnf(c_83,negated_conjecture,
    equalish(n,k),
    inference(copy,[status(esa)],[c_32]) ).

cnf(c_147,negated_conjecture,
    equalish(n,k),
    inference(copy,[status(esa)],[c_83]) ).

cnf(c_148,negated_conjecture,
    equalish(n,k),
    inference(copy,[status(esa)],[c_147]) ).

cnf(c_169,negated_conjecture,
    equalish(n,k),
    inference(copy,[status(esa)],[c_148]) ).

cnf(c_247,plain,
    equalish(n,k),
    inference(copy,[status(esa)],[c_169]) ).

cnf(c_2,plain,
    ( equalish(X0,X1)
    | ~ equalish(X2,X1)
    | ~ equalish(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5ff598.p',c_0_16_2) ).

cnf(c_227,plain,
    ( equalish(X0,X1)
    | ~ equalish(X2,X1)
    | ~ equalish(X0,X2) ),
    inference(copy,[status(esa)],[c_2]) ).

cnf(c_291,plain,
    ( equalish(n,X0)
    | ~ equalish(k,X0) ),
    inference(resolution,[status(thm)],[c_247,c_227]) ).

cnf(c_292,plain,
    ( equalish(n,X0)
    | ~ equalish(k,X0) ),
    inference(rewriting,[status(thm)],[c_291]) ).

cnf(c_31,negated_conjecture,
    equalish(m,k),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5ff598.p',c_0_103) ).

cnf(c_81,negated_conjecture,
    equalish(m,k),
    inference(copy,[status(esa)],[c_31]) ).

cnf(c_146,negated_conjecture,
    equalish(m,k),
    inference(copy,[status(esa)],[c_81]) ).

cnf(c_149,negated_conjecture,
    equalish(m,k),
    inference(copy,[status(esa)],[c_146]) ).

cnf(c_189,negated_conjecture,
    equalish(m,k),
    inference(copy,[status(esa)],[c_149]) ).

cnf(c_287,plain,
    equalish(m,k),
    inference(copy,[status(esa)],[c_189]) ).

cnf(c_10,plain,
    ( equalish(X0,X1)
    | ~ equalish(X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5ff598.p',c_0_19_1) ).

cnf(c_243,plain,
    ( equalish(X0,X1)
    | ~ equalish(X1,X0) ),
    inference(copy,[status(esa)],[c_10]) ).

cnf(c_303,plain,
    equalish(k,m),
    inference(resolution,[status(thm)],[c_287,c_243]) ).

cnf(c_304,plain,
    equalish(k,m),
    inference(rewriting,[status(thm)],[c_303]) ).

cnf(c_592,plain,
    equalish(n,m),
    inference(resolution,[status(thm)],[c_292,c_304]) ).

cnf(c_593,plain,
    equalish(n,m),
    inference(rewriting,[status(thm)],[c_592]) ).

cnf(c_29,negated_conjecture,
    ~ equalish(m,n),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5ff598.p',c_0_101) ).

cnf(c_77,negated_conjecture,
    ~ equalish(m,n),
    inference(copy,[status(esa)],[c_29]) ).

cnf(c_144,negated_conjecture,
    ~ equalish(m,n),
    inference(copy,[status(esa)],[c_77]) ).

cnf(c_151,negated_conjecture,
    ~ equalish(m,n),
    inference(copy,[status(esa)],[c_144]) ).

cnf(c_187,negated_conjecture,
    ~ equalish(m,n),
    inference(copy,[status(esa)],[c_151]) ).

cnf(c_283,plain,
    ~ equalish(m,n),
    inference(copy,[status(esa)],[c_187]) ).

cnf(c_9,plain,
    ( ~ equalish(X0,X1)
    | equalish(X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5ff598.p',c_0_19_0) ).

cnf(c_241,plain,
    ( ~ equalish(X0,X1)
    | equalish(X1,X0) ),
    inference(copy,[status(esa)],[c_9]) ).

cnf(c_321,plain,
    ~ equalish(n,m),
    inference(resolution,[status(thm)],[c_283,c_241]) ).

cnf(c_322,plain,
    ~ equalish(n,m),
    inference(rewriting,[status(thm)],[c_321]) ).

cnf(c_1299,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_593,c_322]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : SYN014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.11  % Command  : iprover_modulo %s %d
% 0.10/0.32  % Computer : n020.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 600
% 0.10/0.32  % DateTime : Mon Jul 11 23:27:42 EDT 2022
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Running in mono-core mode
% 0.10/0.39  % Orienting using strategy Equiv(ClausalAll)
% 0.10/0.39  % Orientation found
% 0.10/0.39  % 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_ca886c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_5ff598.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_93a238 | grep -v "SZS"
% 0.18/0.40  
% 0.18/0.40  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.18/0.40  
% 0.18/0.40  % 
% 0.18/0.40  % ------  iProver source info 
% 0.18/0.40  
% 0.18/0.40  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.18/0.40  % git: non_committed_changes: true
% 0.18/0.40  % git: last_make_outside_of_git: true
% 0.18/0.40  
% 0.18/0.40  % 
% 0.18/0.40  % ------ Input Options
% 0.18/0.40  
% 0.18/0.40  % --out_options                         all
% 0.18/0.40  % --tptp_safe_out                       true
% 0.18/0.40  % --problem_path                        ""
% 0.18/0.40  % --include_path                        ""
% 0.18/0.40  % --clausifier                          .//eprover
% 0.18/0.40  % --clausifier_options                  --tstp-format  
% 0.18/0.40  % --stdin                               false
% 0.18/0.40  % --dbg_backtrace                       false
% 0.18/0.40  % --dbg_dump_prop_clauses               false
% 0.18/0.40  % --dbg_dump_prop_clauses_file          -
% 0.18/0.40  % --dbg_out_stat                        false
% 0.18/0.40  
% 0.18/0.40  % ------ General Options
% 0.18/0.40  
% 0.18/0.40  % --fof                                 false
% 0.18/0.40  % --time_out_real                       150.
% 0.18/0.40  % --time_out_prep_mult                  0.2
% 0.18/0.40  % --time_out_virtual                    -1.
% 0.18/0.40  % --schedule                            none
% 0.18/0.40  % --ground_splitting                    input
% 0.18/0.40  % --splitting_nvd                       16
% 0.18/0.40  % --non_eq_to_eq                        false
% 0.18/0.40  % --prep_gs_sim                         true
% 0.18/0.40  % --prep_unflatten                      false
% 0.18/0.40  % --prep_res_sim                        true
% 0.18/0.40  % --prep_upred                          true
% 0.18/0.40  % --res_sim_input                       true
% 0.18/0.40  % --clause_weak_htbl                    true
% 0.18/0.40  % --gc_record_bc_elim                   false
% 0.18/0.40  % --symbol_type_check                   false
% 0.18/0.40  % --clausify_out                        false
% 0.18/0.40  % --large_theory_mode                   false
% 0.18/0.40  % --prep_sem_filter                     none
% 0.18/0.40  % --prep_sem_filter_out                 false
% 0.18/0.40  % --preprocessed_out                    false
% 0.18/0.40  % --sub_typing                          false
% 0.18/0.40  % --brand_transform                     false
% 0.18/0.40  % --pure_diseq_elim                     true
% 0.18/0.40  % --min_unsat_core                      false
% 0.18/0.40  % --pred_elim                           true
% 0.18/0.40  % --add_important_lit                   false
% 0.18/0.40  % --soft_assumptions                    false
% 0.18/0.40  % --reset_solvers                       false
% 0.18/0.40  % --bc_imp_inh                          []
% 0.18/0.40  % --conj_cone_tolerance                 1.5
% 0.18/0.40  % --prolific_symb_bound                 500
% 0.18/0.40  % --lt_threshold                        2000
% 0.18/0.40  
% 0.18/0.40  % ------ SAT Options
% 0.18/0.40  
% 0.18/0.40  % --sat_mode                            false
% 0.18/0.40  % --sat_fm_restart_options              ""
% 0.18/0.40  % --sat_gr_def                          false
% 0.18/0.40  % --sat_epr_types                       true
% 0.18/0.40  % --sat_non_cyclic_types                false
% 0.18/0.40  % --sat_finite_models                   false
% 0.18/0.40  % --sat_fm_lemmas                       false
% 0.18/0.40  % --sat_fm_prep                         false
% 0.18/0.40  % --sat_fm_uc_incr                      true
% 0.18/0.40  % --sat_out_model                       small
% 0.18/0.40  % --sat_out_clauses                     false
% 0.18/0.40  
% 0.18/0.40  % ------ QBF Options
% 0.18/0.40  
% 0.18/0.40  % --qbf_mode                            false
% 0.18/0.40  % --qbf_elim_univ                       true
% 0.18/0.40  % --qbf_sk_in                           true
% 0.18/0.40  % --qbf_pred_elim                       true
% 0.18/0.40  % --qbf_split                           32
% 0.18/0.40  
% 0.18/0.40  % ------ BMC1 Options
% 0.18/0.40  
% 0.18/0.40  % --bmc1_incremental                    false
% 0.18/0.40  % --bmc1_axioms                         reachable_all
% 0.18/0.40  % --bmc1_min_bound                      0
% 0.18/0.40  % --bmc1_max_bound                      -1
% 0.18/0.40  % --bmc1_max_bound_default              -1
% 0.18/0.40  % --bmc1_symbol_reachability            true
% 0.18/0.40  % --bmc1_property_lemmas                false
% 0.18/0.40  % --bmc1_k_induction                    false
% 0.18/0.40  % --bmc1_non_equiv_states               false
% 0.18/0.40  % --bmc1_deadlock                       false
% 0.18/0.40  % --bmc1_ucm                            false
% 0.18/0.40  % --bmc1_add_unsat_core                 none
% 0.18/0.40  % --bmc1_unsat_core_children            false
% 0.18/0.40  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.18/0.40  % --bmc1_out_stat                       full
% 0.18/0.40  % --bmc1_ground_init                    false
% 0.18/0.40  % --bmc1_pre_inst_next_state            false
% 0.18/0.40  % --bmc1_pre_inst_state                 false
% 0.18/0.40  % --bmc1_pre_inst_reach_state           false
% 0.18/0.40  % --bmc1_out_unsat_core                 false
% 0.18/0.40  % --bmc1_aig_witness_out                false
% 0.18/0.40  % --bmc1_verbose                        false
% 0.18/0.40  % --bmc1_dump_clauses_tptp              false
% 0.18/0.41  % --bmc1_dump_unsat_core_tptp           false
% 0.18/0.41  % --bmc1_dump_file                      -
% 0.18/0.41  % --bmc1_ucm_expand_uc_limit            128
% 0.18/0.41  % --bmc1_ucm_n_expand_iterations        6
% 0.18/0.41  % --bmc1_ucm_extend_mode                1
% 0.18/0.41  % --bmc1_ucm_init_mode                  2
% 0.18/0.41  % --bmc1_ucm_cone_mode                  none
% 0.18/0.41  % --bmc1_ucm_reduced_relation_type      0
% 0.18/0.41  % --bmc1_ucm_relax_model                4
% 0.18/0.41  % --bmc1_ucm_full_tr_after_sat          true
% 0.18/0.41  % --bmc1_ucm_expand_neg_assumptions     false
% 0.18/0.41  % --bmc1_ucm_layered_model              none
% 0.18/0.41  % --bmc1_ucm_max_lemma_size             10
% 0.18/0.41  
% 0.18/0.41  % ------ AIG Options
% 0.18/0.41  
% 0.18/0.41  % --aig_mode                            false
% 0.18/0.41  
% 0.18/0.41  % ------ Instantiation Options
% 0.18/0.41  
% 0.18/0.41  % --instantiation_flag                  true
% 0.18/0.41  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.41  % --inst_solver_per_active              750
% 0.18/0.41  % --inst_solver_calls_frac              0.5
% 0.18/0.41  % --inst_passive_queue_type             priority_queues
% 0.18/0.41  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.41  % --inst_passive_queues_freq            [25;2]
% 0.18/0.41  % --inst_dismatching                    true
% 0.18/0.41  % --inst_eager_unprocessed_to_passive   true
% 0.18/0.41  % --inst_prop_sim_given                 true
% 0.18/0.41  % --inst_prop_sim_new                   false
% 0.18/0.41  % --inst_orphan_elimination             true
% 0.18/0.41  % --inst_learning_loop_flag             true
% 0.18/0.41  % --inst_learning_start                 3000
% 0.18/0.41  % --inst_learning_factor                2
% 0.18/0.41  % --inst_start_prop_sim_after_learn     3
% 0.18/0.41  % --inst_sel_renew                      solver
% 0.18/0.41  % --inst_lit_activity_flag              true
% 0.18/0.41  % --inst_out_proof                      true
% 0.18/0.41  
% 0.18/0.41  % ------ Resolution Options
% 0.18/0.41  
% 0.18/0.41  % --resolution_flag                     true
% 0.18/0.41  % --res_lit_sel                         kbo_max
% 0.18/0.41  % --res_to_prop_solver                  none
% 0.18/0.41  % --res_prop_simpl_new                  false
% 0.18/0.41  % --res_prop_simpl_given                false
% 0.18/0.41  % --res_passive_queue_type              priority_queues
% 0.18/0.41  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.18/0.41  % --res_passive_queues_freq             [15;5]
% 0.18/0.41  % --res_forward_subs                    full
% 0.18/0.41  % --res_backward_subs                   full
% 0.18/0.41  % --res_forward_subs_resolution         true
% 0.18/0.41  % --res_backward_subs_resolution        true
% 0.18/0.41  % --res_orphan_elimination              false
% 0.18/0.41  % --res_time_limit                      1000.
% 0.18/0.41  % --res_out_proof                       true
% 0.18/0.41  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_ca886c.s
% 0.18/0.41  % --modulo                              true
% 0.18/0.41  
% 0.18/0.41  % ------ Combination Options
% 0.18/0.41  
% 0.18/0.41  % --comb_res_mult                       1000
% 0.18/0.41  % --comb_inst_mult                      300
% 0.18/0.41  % ------ 
% 0.18/0.41  
% 0.18/0.41  % ------ Parsing...% successful
% 0.18/0.41  
% 0.18/0.41  % ------ 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 % 
% 0.18/0.41  
% 0.18/0.41  % ------ Proving...
% 0.18/0.41  % ------ Problem Properties 
% 0.18/0.41  
% 0.18/0.41  % 
% 0.18/0.41  % EPR                                   false
% 0.18/0.41  % Horn                                  false
% 0.18/0.41  % Has equality                          false
% 0.18/0.41  
% 0.18/0.41  % % ------ Input Options Time Limit: Unbounded
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  % % ------ Current options:
% 0.18/0.41  
% 0.18/0.41  % ------ Input Options
% 0.18/0.41  
% 0.18/0.41  % --out_options                         all
% 0.18/0.41  % --tptp_safe_out                       true
% 0.18/0.41  % --problem_path                        ""
% 0.18/0.41  % --include_path                        ""
% 0.18/0.41  % --clausifier                          .//eprover
% 0.18/0.41  % --clausifier_options                  --tstp-format  
% 0.18/0.41  % --stdin                               false
% 0.18/0.41  % --dbg_backtrace                       false
% 0.18/0.41  % --dbg_dump_prop_clauses               false
% 0.18/0.41  % --dbg_dump_prop_clauses_file          -
% 0.18/0.41  % --dbg_out_stat                        false
% 0.18/0.41  
% 0.18/0.41  % ------ General Options
% 0.18/0.41  
% 0.18/0.41  % --fof                                 false
% 0.18/0.41  % --time_out_real                       150.
% 0.18/0.41  % --time_out_prep_mult                  0.2
% 0.18/0.41  % --time_out_virtual                    -1.
% 0.18/0.41  % --schedule                            none
% 0.18/0.41  % --ground_splitting                    input
% 0.18/0.41  % --splitting_nvd                       16
% 0.18/0.41  % --non_eq_to_eq                        false
% 0.18/0.41  % --prep_gs_sim                         true
% 0.18/0.41  % --prep_unflatten                      false
% 0.18/0.41  % --prep_res_sim                        true
% 0.18/0.41  % --prep_upred                          true
% 0.18/0.41  % --res_sim_input                       true
% 0.18/0.41  % --clause_weak_htbl                    true
% 0.18/0.41  % --gc_record_bc_elim                   false
% 0.18/0.41  % --symbol_type_check                   false
% 0.18/0.41  % --clausify_out                        false
% 0.18/0.41  % --large_theory_mode                   false
% 0.18/0.41  % --prep_sem_filter                     none
% 0.18/0.41  % --prep_sem_filter_out                 false
% 0.18/0.41  % --preprocessed_out                    false
% 0.18/0.41  % --sub_typing                          false
% 0.18/0.41  % --brand_transform                     false
% 0.18/0.41  % --pure_diseq_elim                     true
% 0.18/0.41  % --min_unsat_core                      false
% 0.18/0.41  % --pred_elim                           true
% 0.18/0.41  % --add_important_lit                   false
% 0.18/0.41  % --soft_assumptions                    false
% 0.18/0.41  % --reset_solvers                       false
% 0.18/0.41  % --bc_imp_inh                          []
% 0.18/0.41  % --conj_cone_tolerance                 1.5
% 0.18/0.41  % --prolific_symb_bound                 500
% 0.18/0.41  % --lt_threshold                        2000
% 0.18/0.41  
% 0.18/0.41  % ------ SAT Options
% 0.18/0.41  
% 0.18/0.41  % --sat_mode                            false
% 0.18/0.41  % --sat_fm_restart_options              ""
% 0.18/0.41  % --sat_gr_def                          false
% 0.18/0.41  % --sat_epr_types                       true
% 0.18/0.41  % --sat_non_cyclic_types                false
% 0.18/0.41  % --sat_finite_models                   false
% 0.18/0.41  % --sat_fm_lemmas                       false
% 0.18/0.41  % --sat_fm_prep                         false
% 0.18/0.41  % --sat_fm_uc_incr                      true
% 0.18/0.41  % --sat_out_model                       small
% 0.18/0.41  % --sat_out_clauses                     false
% 0.18/0.41  
% 0.18/0.41  % ------ QBF Options
% 0.18/0.41  
% 0.18/0.41  % --qbf_mode                            false
% 0.18/0.41  % --qbf_elim_univ                       true
% 0.18/0.41  % --qbf_sk_in                           true
% 0.18/0.41  % --qbf_pred_elim                       true
% 0.18/0.41  % --qbf_split                           32
% 0.18/0.41  
% 0.18/0.41  % ------ BMC1 Options
% 0.18/0.41  
% 0.18/0.41  % --bmc1_incremental                    false
% 0.18/0.41  % --bmc1_axioms                         reachable_all
% 0.18/0.41  % --bmc1_min_bound                      0
% 0.18/0.41  % --bmc1_max_bound                      -1
% 0.18/0.41  % --bmc1_max_bound_default              -1
% 0.18/0.41  % --bmc1_symbol_reachability            true
% 0.18/0.41  % --bmc1_property_lemmas                false
% 0.18/0.41  % --bmc1_k_induction                    false
% 0.18/0.41  % --bmc1_non_equiv_states               false
% 0.18/0.41  % --bmc1_deadlock                       false
% 0.18/0.41  % --bmc1_ucm                            false
% 0.18/0.41  % --bmc1_add_unsat_core                 none
% 0.18/0.41  % --bmc1_unsat_core_children            false
% 0.18/0.41  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.18/0.41  % --bmc1_out_stat                       full
% 0.18/0.41  % --bmc1_ground_init                    false
% 0.18/0.41  % --bmc1_pre_inst_next_state            false
% 0.18/0.41  % --bmc1_pre_inst_state                 false
% 0.18/0.41  % --bmc1_pre_inst_reach_state           false
% 0.18/0.41  % --bmc1_out_unsat_core                 false
% 0.18/0.41  % --bmc1_aig_witness_out                false
% 0.18/0.41  % --bmc1_verbose                        false
% 0.18/0.41  % --bmc1_dump_clauses_tptp              false
% 0.18/0.41  % --bmc1_dump_unsat_core_tptp           false
% 0.18/0.41  % --bmc1_dump_file                      -
% 0.18/0.41  % --bmc1_ucm_expand_uc_limit            128
% 0.18/0.41  % --bmc1_ucm_n_expand_iterations        6
% 0.18/0.41  % --bmc1_ucm_extend_mode                1
% 0.18/0.41  % --bmc1_ucm_init_mode                  2
% 0.18/0.41  % --bmc1_ucm_cone_mode                  none
% 0.18/0.41  % --bmc1_ucm_reduced_relation_type      0
% 0.18/0.41  % --bmc1_ucm_relax_model                4
% 0.18/0.41  % --bmc1_ucm_full_tr_after_sat          true
% 0.18/0.41  % --bmc1_ucm_expand_neg_assumptions     false
% 0.18/0.41  % --bmc1_ucm_layered_model              none
% 0.18/0.41  % --bmc1_ucm_max_lemma_size             10
% 0.18/0.41  
% 0.18/0.41  % ------ AIG Options
% 0.18/0.41  
% 0.18/0.41  % --aig_mode                            false
% 0.18/0.41  
% 0.18/0.41  % ------ Instantiation Options
% 0.18/0.41  
% 0.18/0.41  % --instantiation_flag                  true
% 0.18/0.41  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.41  % --inst_solver_per_active              750
% 0.18/0.41  % --inst_solver_calls_frac              0.5
% 0.18/0.41  % --inst_passive_queue_type             priority_queues
% 0.18/0.41  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.41  % --inst_passive_queues_freq            [25;2]
% 0.18/0.41  % --inst_dismatching                    true
% 0.18/0.41  % --inst_eager_unprocessed_to_passive   true
% 0.18/0.41  % --inst_prop_sim_given                 true
% 0.18/0.42  % --inst_prop_sim_new                   false
% 0.18/0.42  % --inst_orphan_elimination             true
% 0.18/0.42  % --inst_learning_loop_flag             true
% 0.18/0.42  % --inst_learning_start                 3000
% 0.18/0.42  % --inst_learning_factor                2
% 0.18/0.42  % --inst_start_prop_sim_after_learn     3
% 0.18/0.42  % --inst_sel_renew                      solver
% 0.18/0.42  % --inst_lit_activity_flag              true
% 0.18/0.42  % --inst_out_proof                      true
% 0.18/0.42  
% 0.18/0.42  % ------ Resolution Options
% 0.18/0.42  
% 0.18/0.42  % --resolution_flag                     true
% 0.18/0.42  % --res_lit_sel                         kbo_max
% 0.18/0.42  % --res_to_prop_solver                  none
% 0.18/0.42  % --res_prop_simpl_new                  false
% 0.18/0.42  % --res_prop_simpl_given                false
% 0.18/0.42  % --res_passive_queue_type              priority_queues
% 0.18/0.42  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.18/0.42  % --res_passive_queues_freq             [15;5]
% 0.18/0.42  % --res_forward_subs                    full
% 0.18/0.42  % --res_backward_subs                   full
% 0.18/0.42  % --res_forward_subs_resolution         true
% 0.18/0.42  % --res_backward_subs_resolution        true
% 0.18/0.42  % --res_orphan_elimination              false
% 0.18/0.42  % --res_time_limit                      1000.
% 0.18/0.42  % --res_out_proof                       true
% 0.18/0.42  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_ca886c.s
% 0.18/0.42  % --modulo                              true
% 0.18/0.42  
% 0.18/0.42  % ------ Combination Options
% 0.18/0.42  
% 0.18/0.42  % --comb_res_mult                       1000
% 0.18/0.42  % --comb_inst_mult                      300
% 0.18/0.42  % ------ 
% 0.18/0.42  
% 0.18/0.42  
% 0.18/0.42  
% 0.18/0.42  % ------ Proving...
% 0.18/0.42  % 
% 0.18/0.42  
% 0.18/0.42  
% 0.18/0.42  %  Resolution empty clause
% 0.18/0.42  
% 0.18/0.42  % ------                             Statistics
% 0.18/0.42  
% 0.18/0.42  % ------ General
% 0.18/0.42  
% 0.18/0.42  % num_of_input_clauses:                 33
% 0.18/0.42  % num_of_input_neg_conjectures:         21
% 0.18/0.42  % num_of_splits:                        0
% 0.18/0.42  % num_of_split_atoms:                   0
% 0.18/0.42  % num_of_sem_filtered_clauses:          0
% 0.18/0.42  % num_of_subtypes:                      0
% 0.18/0.42  % monotx_restored_types:                0
% 0.18/0.42  % sat_num_of_epr_types:                 0
% 0.18/0.42  % sat_num_of_non_cyclic_types:          0
% 0.18/0.42  % sat_guarded_non_collapsed_types:      0
% 0.18/0.42  % is_epr:                               0
% 0.18/0.42  % is_horn:                              0
% 0.18/0.42  % has_eq:                               0
% 0.18/0.42  % num_pure_diseq_elim:                  0
% 0.18/0.42  % simp_replaced_by:                     0
% 0.18/0.42  % res_preprocessed:                     42
% 0.18/0.42  % prep_upred:                           0
% 0.18/0.42  % prep_unflattend:                      0
% 0.18/0.42  % pred_elim_cands:                      0
% 0.18/0.42  % pred_elim:                            0
% 0.18/0.42  % pred_elim_cl:                         0
% 0.18/0.42  % pred_elim_cycles:                     0
% 0.18/0.42  % forced_gc_time:                       0
% 0.18/0.42  % gc_basic_clause_elim:                 0
% 0.18/0.42  % parsing_time:                         0.
% 0.18/0.42  % sem_filter_time:                      0.
% 0.18/0.42  % pred_elim_time:                       0.
% 0.18/0.42  % out_proof_time:                       0.001
% 0.18/0.42  % monotx_time:                          0.
% 0.18/0.42  % subtype_inf_time:                     0.
% 0.18/0.42  % unif_index_cands_time:                0.
% 0.18/0.42  % unif_index_add_time:                  0.
% 0.18/0.42  % total_time:                           0.027
% 0.18/0.42  % num_of_symbols:                       33
% 0.18/0.42  % num_of_terms:                         284
% 0.18/0.42  
% 0.18/0.42  % ------ Propositional Solver
% 0.18/0.42  
% 0.18/0.42  % prop_solver_calls:                    1
% 0.18/0.42  % prop_fast_solver_calls:               174
% 0.18/0.42  % prop_num_of_clauses:                  40
% 0.18/0.42  % prop_preprocess_simplified:           368
% 0.18/0.42  % prop_fo_subsumed:                     0
% 0.18/0.42  % prop_solver_time:                     0.
% 0.18/0.42  % prop_fast_solver_time:                0.
% 0.18/0.42  % prop_unsat_core_time:                 0.
% 0.18/0.42  
% 0.18/0.42  % ------ QBF 
% 0.18/0.42  
% 0.18/0.42  % qbf_q_res:                            0
% 0.18/0.42  % qbf_num_tautologies:                  0
% 0.18/0.42  % qbf_prep_cycles:                      0
% 0.18/0.42  
% 0.18/0.42  % ------ BMC1
% 0.18/0.42  
% 0.18/0.42  % bmc1_current_bound:                   -1
% 0.18/0.42  % bmc1_last_solved_bound:               -1
% 0.18/0.42  % bmc1_unsat_core_size:                 -1
% 0.18/0.42  % bmc1_unsat_core_parents_size:         -1
% 0.18/0.42  % bmc1_merge_next_fun:                  0
% 0.18/0.42  % bmc1_unsat_core_clauses_time:         0.
% 0.18/0.42  
% 0.18/0.42  % ------ Instantiation
% 0.18/0.42  
% 0.18/0.42  % inst_num_of_clauses:                  33
% 0.18/0.42  % inst_num_in_passive:                  0
% 0.18/0.42  % inst_num_in_active:                   0
% 0.18/0.42  % inst_num_in_unprocessed:              33
% 0.18/0.42  % inst_num_of_loops:                    0
% 0.18/0.42  % inst_num_of_learning_restarts:        0
% 0.18/0.42  % inst_num_moves_active_passive:        0
% 0.18/0.42  % inst_lit_activity:                    0
% 0.18/0.42  % inst_lit_activity_moves:              0
% 0.18/0.42  % inst_num_tautologies:                 0
% 0.18/0.42  % inst_num_prop_implied:                0
% 0.18/0.42  % inst_num_existing_simplified:         0
% 0.18/0.42  % inst_num_eq_res_simplified:           0
% 0.18/0.42  % inst_num_child_elim:                  0
% 0.18/0.42  % inst_num_of_dismatching_blockings:    0
% 0.18/0.42  % inst_num_of_non_proper_insts:         0
% 0.18/0.42  % inst_num_of_duplicates:               0
% 0.18/0.42  % inst_inst_num_from_inst_to_res:       0
% 0.18/0.42  % inst_dismatching_checking_time:       0.
% 0.18/0.42  
% 0.18/0.42  % ------ Resolution
% 0.18/0.42  
% 0.18/0.42  % res_num_of_clauses:                   212
% 0.18/0.42  % res_num_in_passive:                   133
% 0.18/0.42  % res_num_in_active:                    74
% 0.18/0.42  % res_num_of_loops:                     76
% 0.18/0.42  % res_forward_subset_subsumed:          87
% 0.18/0.42  % res_backward_subset_subsumed:         2
% 0.18/0.42  % res_forward_subsumed:                 9
% 0.18/0.42  % res_backward_subsumed:                0
% 0.18/0.42  % res_forward_subsumption_resolution:   22
% 0.18/0.42  % res_backward_subsumption_resolution:  0
% 0.18/0.42  % res_clause_to_clause_subsumption:     1220
% 0.18/0.42  % res_orphan_elimination:               0
% 0.18/0.42  % res_tautology_del:                    19
% 0.18/0.42  % res_num_eq_res_simplified:            0
% 0.18/0.42  % res_num_sel_changes:                  0
% 0.18/0.42  % res_moves_from_active_to_pass:        0
% 0.18/0.42  
% 0.18/0.42  % Status Unsatisfiable
% 0.18/0.42  % SZS status Unsatisfiable
% 0.18/0.42  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------