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iProverMo---2.5-0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n028.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 : Sat Jul 16 09:45:22 EDT 2022

% Result   : Unsatisfiable 0.41s 0.62s
% Output   : CNFRefutation 0.41s
% 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(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    input ).

fof(e_2_is_not_e_1_0,plain,
    ( ~ equalish(e_2,e_1)
    | $false ),
    inference(orientation,[status(thm)],[e_2_is_not_e_1]) ).

cnf(e_1_is_not_e_2,axiom,
    ~ equalish(e_1,e_2),
    input ).

fof(e_1_is_not_e_2_0,plain,
    ( ~ equalish(e_1,e_2)
    | $false ),
    inference(orientation,[status(thm)],[e_1_is_not_e_2]) ).

cnf(element_2,axiom,
    group_element(e_2),
    input ).

fof(element_2_0,plain,
    ( group_element(e_2)
    | $false ),
    inference(orientation,[status(thm)],[element_2]) ).

cnf(element_1,axiom,
    group_element(e_1),
    input ).

fof(element_1_0,plain,
    ( group_element(e_1)
    | $false ),
    inference(orientation,[status(thm)],[element_1]) ).

cnf(e_2_greater_e_1,axiom,
    greater(e_2,e_1),
    input ).

fof(e_2_greater_e_1_0,plain,
    ( greater(e_2,e_1)
    | $false ),
    inference(orientation,[status(thm)],[e_2_greater_e_1]) ).

cnf(e_1_then_e_2,axiom,
    next(e_1,e_2),
    input ).

fof(e_1_then_e_2_0,plain,
    ( next(e_1,e_2)
    | $false ),
    inference(orientation,[status(thm)],[e_1_then_e_2]) ).

fof(def_lhs_atom1,axiom,
    ( lhs_atom1
  <=> next(e_1,e_2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_0,plain,
    ( lhs_atom1
    | $false ),
    inference(fold_definition,[status(thm)],[e_1_then_e_2_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ( lhs_atom2
  <=> greater(e_2,e_1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_1,plain,
    ( lhs_atom2
    | $false ),
    inference(fold_definition,[status(thm)],[e_2_greater_e_1_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ( lhs_atom3
  <=> group_element(e_1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_2,plain,
    ( lhs_atom3
    | $false ),
    inference(fold_definition,[status(thm)],[element_1_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ( lhs_atom4
  <=> group_element(e_2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_3,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[element_2_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> ~ equalish(e_1,e_2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[e_1_is_not_e_2_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ( lhs_atom6
  <=> ~ equalish(e_2,e_1) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_5,plain,
    ( lhs_atom6
    | $false ),
    inference(fold_definition,[status(thm)],[e_2_is_not_e_1_0,def_lhs_atom6]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ( lhs_atom6
    | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_1,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_2,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_3,axiom,
    ( lhs_atom3
    | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_4,axiom,
    ( lhs_atom2
    | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_5,axiom,
    ( lhs_atom1
    | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_6,plain,
    lhs_atom6,
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_7,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_8,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_9,plain,
    lhs_atom3,
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_10,plain,
    lhs_atom2,
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_11,plain,
    lhs_atom1,
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_12,plain,
    lhs_atom6,
    c_0_6 ).

fof(c_0_13,plain,
    lhs_atom5,
    c_0_7 ).

fof(c_0_14,plain,
    lhs_atom4,
    c_0_8 ).

fof(c_0_15,plain,
    lhs_atom3,
    c_0_9 ).

fof(c_0_16,plain,
    lhs_atom2,
    c_0_10 ).

fof(c_0_17,plain,
    lhs_atom1,
    c_0_11 ).

cnf(c_0_18,plain,
    lhs_atom6,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    lhs_atom3,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,plain,
    lhs_atom2,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    lhs_atom1,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    lhs_atom6,
    c_0_18,
    [final] ).

cnf(c_0_25,plain,
    lhs_atom5,
    c_0_19,
    [final] ).

cnf(c_0_26,plain,
    lhs_atom4,
    c_0_20,
    [final] ).

cnf(c_0_27,plain,
    lhs_atom3,
    c_0_21,
    [final] ).

cnf(c_0_28,plain,
    lhs_atom2,
    c_0_22,
    [final] ).

cnf(c_0_29,plain,
    lhs_atom1,
    c_0_23,
    [final] ).

% End CNF derivation
cnf(c_0_24_0,axiom,
    ~ equalish(e_2,e_1),
    inference(unfold_definition,[status(thm)],[c_0_24,def_lhs_atom6]) ).

cnf(c_0_25_0,axiom,
    ~ equalish(e_1,e_2),
    inference(unfold_definition,[status(thm)],[c_0_25,def_lhs_atom5]) ).

cnf(c_0_26_0,axiom,
    group_element(e_2),
    inference(unfold_definition,[status(thm)],[c_0_26,def_lhs_atom4]) ).

cnf(c_0_27_0,axiom,
    group_element(e_1),
    inference(unfold_definition,[status(thm)],[c_0_27,def_lhs_atom3]) ).

cnf(c_0_28_0,axiom,
    greater(e_2,e_1),
    inference(unfold_definition,[status(thm)],[c_0_28,def_lhs_atom2]) ).

cnf(c_0_29_0,axiom,
    next(e_1,e_2),
    inference(unfold_definition,[status(thm)],[c_0_29,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X2,X4)
      | ~ product(X3,X2,X1)
      | equalish(X4,X1) ),
    file('<stdin>',product_total_function2) ).

fof(c_0_1_002,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X4,X2)
      | ~ product(X3,X1,X2)
      | equalish(X4,X1) ),
    file('<stdin>',product_right_cancellation) ).

fof(c_0_2_003,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ product(X4,X2,X3)
      | ~ product(X1,X2,X3)
      | equalish(X4,X1) ),
    file('<stdin>',product_left_cancellation) ).

fof(c_0_3_004,axiom,
    ! [X2,X5,X3] :
      ( ~ product(X3,e_1,X2)
      | ~ next(X3,X5)
      | ~ greater(X2,X5) ),
    file('<stdin>',no_redundancy) ).

fof(c_0_4_005,axiom,
    ! [X2,X3] :
      ( ~ group_element(X3)
      | ~ group_element(X2)
      | product(X3,X2,e_1)
      | product(X3,X2,e_2) ),
    file('<stdin>',product_total_function1) ).

fof(c_0_5_006,plain,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X2,X4)
      | ~ product(X3,X2,X1)
      | equalish(X4,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_6_007,plain,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X4,X2)
      | ~ product(X3,X1,X2)
      | equalish(X4,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_7_008,plain,
    ! [X1,X2,X3,X4] :
      ( ~ product(X4,X2,X3)
      | ~ product(X1,X2,X3)
      | equalish(X4,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_8_009,plain,
    ! [X2,X5,X3] :
      ( ~ product(X3,e_1,X2)
      | ~ next(X3,X5)
      | ~ greater(X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_9_010,plain,
    ! [X2,X3] :
      ( ~ group_element(X3)
      | ~ group_element(X2)
      | product(X3,X2,e_1)
      | product(X3,X2,e_2) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_10_011,plain,
    ! [X5,X6,X7,X8] :
      ( ~ product(X7,X6,X8)
      | ~ product(X7,X6,X5)
      | equalish(X8,X5) ),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

fof(c_0_11_012,plain,
    ! [X5,X6,X7,X8] :
      ( ~ product(X7,X8,X6)
      | ~ product(X7,X5,X6)
      | equalish(X8,X5) ),
    inference(variable_rename,[status(thm)],[c_0_6]) ).

fof(c_0_12_013,plain,
    ! [X5,X6,X7,X8] :
      ( ~ product(X8,X6,X7)
      | ~ product(X5,X6,X7)
      | equalish(X8,X5) ),
    inference(variable_rename,[status(thm)],[c_0_7]) ).

fof(c_0_13_014,plain,
    ! [X6,X7,X8] :
      ( ~ product(X8,e_1,X6)
      | ~ next(X8,X7)
      | ~ greater(X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_8]) ).

fof(c_0_14_015,plain,
    ! [X4,X5] :
      ( ~ group_element(X5)
      | ~ group_element(X4)
      | product(X5,X4,e_1)
      | product(X5,X4,e_2) ),
    inference(variable_rename,[status(thm)],[c_0_9]) ).

cnf(c_0_15_016,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16_017,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X2,X4)
    | ~ product(X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17_018,plain,
    ( equalish(X1,X2)
    | ~ product(X2,X3,X4)
    | ~ product(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18_019,plain,
    ( ~ greater(X1,X2)
    | ~ next(X3,X2)
    | ~ product(X3,e_1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19_020,plain,
    ( product(X1,X2,e_2)
    | product(X1,X2,e_1)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20_021,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    c_0_15,
    [final] ).

cnf(c_0_21_022,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X2,X4)
    | ~ product(X3,X1,X4) ),
    c_0_16,
    [final] ).

cnf(c_0_22_023,plain,
    ( equalish(X1,X2)
    | ~ product(X2,X3,X4)
    | ~ product(X1,X3,X4) ),
    c_0_17,
    [final] ).

cnf(c_0_23_024,plain,
    ( ~ greater(X1,X2)
    | ~ next(X3,X2)
    | ~ product(X3,e_1,X1) ),
    c_0_18,
    [final] ).

cnf(c_0_24_025,plain,
    ( product(X1,X2,e_2)
    | product(X1,X2,e_1)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    c_0_19,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_20_0,axiom,
    ( equalish(X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_20]) ).

cnf(c_0_20_1,axiom,
    ( ~ product(X3,X4,X2)
    | equalish(X1,X2)
    | ~ product(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_20]) ).

cnf(c_0_20_2,axiom,
    ( ~ product(X3,X4,X1)
    | ~ product(X3,X4,X2)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_20]) ).

cnf(c_0_21_0,axiom,
    ( equalish(X1,X2)
    | ~ product(X3,X2,X4)
    | ~ product(X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_21]) ).

cnf(c_0_21_1,axiom,
    ( ~ product(X3,X2,X4)
    | equalish(X1,X2)
    | ~ product(X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_21]) ).

cnf(c_0_21_2,axiom,
    ( ~ product(X3,X1,X4)
    | ~ product(X3,X2,X4)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_21]) ).

cnf(c_0_22_0,axiom,
    ( equalish(X1,X2)
    | ~ product(X2,X3,X4)
    | ~ product(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_22]) ).

cnf(c_0_22_1,axiom,
    ( ~ product(X2,X3,X4)
    | equalish(X1,X2)
    | ~ product(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_22]) ).

cnf(c_0_22_2,axiom,
    ( ~ product(X1,X3,X4)
    | ~ product(X2,X3,X4)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_22]) ).

cnf(c_0_23_0,axiom,
    ( ~ greater(X1,X2)
    | ~ next(X3,X2)
    | ~ product(X3,e_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_23]) ).

cnf(c_0_23_1,axiom,
    ( ~ next(X3,X2)
    | ~ greater(X1,X2)
    | ~ product(X3,e_1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_23]) ).

cnf(c_0_23_2,axiom,
    ( ~ product(X3,e_1,X1)
    | ~ next(X3,X2)
    | ~ greater(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_23]) ).

cnf(c_0_24_1,axiom,
    ( product(X1,X2,e_2)
    | product(X1,X2,e_1)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_24]) ).

cnf(c_0_24_2,axiom,
    ( product(X1,X2,e_1)
    | product(X1,X2,e_2)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_24]) ).

cnf(c_0_24_3,axiom,
    ( ~ group_element(X2)
    | product(X1,X2,e_1)
    | product(X1,X2,e_2)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_24]) ).

cnf(c_0_24_4,axiom,
    ( ~ group_element(X1)
    | ~ group_element(X2)
    | product(X1,X2,e_1)
    | product(X1,X2,e_2) ),
    inference(literals_permutation,[status(thm)],[c_0_24]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_026,negated_conjecture,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X4,X2)
      | ~ product(X2,X3,X1)
      | product(X1,X3,X4) ),
    file('<stdin>',qg3) ).

fof(c_0_1_027,negated_conjecture,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X4,X2)
      | ~ product(X2,X3,X1)
      | product(X1,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2_028,negated_conjecture,
    ! [X5,X6,X7,X8] :
      ( ~ product(X7,X8,X6)
      | ~ product(X6,X7,X5)
      | product(X5,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_1]) ).

cnf(c_0_3_029,negated_conjecture,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X1)
    | ~ product(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_030,negated_conjecture,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X1)
    | ~ product(X2,X3,X4) ),
    c_0_3,
    [final] ).

% End CNF derivation

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

cnf(c_22,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X2,X0,X3)
    | product(X3,X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_239022.p',c_0_4) ).

cnf(c_26,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X2,X0,X3)
    | product(X3,X0,X1) ),
    inference(copy,[status(esa)],[c_22]) ).

cnf(c_30,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X2,X0,X3)
    | product(X3,X0,X1) ),
    inference(copy,[status(esa)],[c_26]) ).

cnf(c_31,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X2,X0,X3)
    | product(X3,X0,X1) ),
    inference(copy,[status(esa)],[c_30]) ).

cnf(c_32,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X2,X0,X3)
    | product(X3,X0,X1) ),
    inference(copy,[status(esa)],[c_31]) ).

cnf(c_100,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X2,X0,X3)
    | product(X3,X0,X1) ),
    inference(copy,[status(esa)],[c_32]) ).

cnf(c_12,plain,
    ( ~ group_element(X0)
    | ~ group_element(X1)
    | product(X0,X1,e_1)
    | product(X0,X1,e_2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_239022.p',c_0_24_1) ).

cnf(c_80,plain,
    ( ~ group_element(X0)
    | ~ group_element(X1)
    | product(X0,X1,e_1)
    | product(X0,X1,e_2) ),
    inference(copy,[status(esa)],[c_12]) ).

cnf(c_81,plain,
    ( product(X0,X1,e_1)
    | product(X0,X1,e_2)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_80]) ).

cnf(c_108,plain,
    ( product(e_2,X0,X1)
    | product(X2,X0,e_1)
    | ~ product(X0,X1,X2)
    | ~ group_element(X2)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c_100,c_81]) ).

cnf(c_109,plain,
    ( product(e_2,X0,X1)
    | product(X2,X0,e_1)
    | ~ product(X0,X1,X2)
    | ~ group_element(X2)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_108]) ).

cnf(c_120,plain,
    ( product(e_2,X0,e_1)
    | product(e_2,X0,X1)
    | product(X0,X1,e_1)
    | ~ group_element(e_2)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(resolution,[status(thm)],[c_109,c_81]) ).

cnf(c_121,plain,
    ( product(e_2,X0,e_1)
    | product(e_2,X0,X1)
    | product(X0,X1,e_1)
    | ~ group_element(e_2)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_120]) ).

cnf(c_19,plain,
    group_element(e_2),
    file('/export/starexec/sandbox/tmp/iprover_modulo_239022.p',c_0_26_0) ).

cnf(c_94,plain,
    group_element(e_2),
    inference(copy,[status(esa)],[c_19]) ).

cnf(c_128,plain,
    ( product(e_2,X0,e_1)
    | product(e_2,X0,X1)
    | product(X0,X1,e_1)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_121,c_94]) ).

cnf(c_129,plain,
    ( product(e_2,X0,e_1)
    | product(e_2,X0,X1)
    | product(X0,X1,e_1)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_128]) ).

cnf(c_141,plain,
    ( product(e_1,X0,X1)
    | product(e_2,X2,e_1)
    | product(e_2,X2,X0)
    | ~ product(X0,X1,X2)
    | ~ group_element(X2)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c_129,c_100]) ).

cnf(c_144,plain,
    ( product(e_1,X0,X1)
    | product(e_2,X2,e_1)
    | product(e_2,X2,X0)
    | ~ product(X0,X1,X2)
    | ~ group_element(X2)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_141]) ).

cnf(c_181,plain,
    ( product(e_1,X0,X1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,X0)
    | product(X0,X1,e_1)
    | ~ group_element(e_2)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(resolution,[status(thm)],[c_144,c_81]) ).

cnf(c_182,plain,
    ( product(e_1,X0,X1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,X0)
    | product(X0,X1,e_1)
    | ~ group_element(e_2)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_181]) ).

cnf(c_496,plain,
    ( product(e_1,X0,X1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,X0)
    | product(X0,X1,e_1)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_182,c_94]) ).

cnf(c_497,plain,
    ( product(e_1,X0,X1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,X0)
    | product(X0,X1,e_1)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_496]) ).

cnf(c_504,plain,
    ( product(e_1,e_1,X0)
    | product(e_1,X0,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(e_1)
    | ~ group_element(X0) ),
    inference(factoring,[status(thm)],[c_497]) ).

cnf(c_505,plain,
    ( product(e_1,e_1,X0)
    | product(e_1,X0,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(e_1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_504]) ).

cnf(c_18,plain,
    group_element(e_1),
    file('/export/starexec/sandbox/tmp/iprover_modulo_239022.p',c_0_27_0) ).

cnf(c_92,plain,
    group_element(e_1),
    inference(copy,[status(esa)],[c_18]) ).

cnf(c_1891,plain,
    ( product(e_1,e_1,X0)
    | product(e_1,X0,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_505,c_92]) ).

cnf(c_1892,plain,
    ( product(e_1,e_1,X0)
    | product(e_1,X0,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_1891]) ).

cnf(c_1897,plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(e_1) ),
    inference(factoring,[status(thm)],[c_1892]) ).

cnf(c_1898,plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(e_1) ),
    inference(rewriting,[status(thm)],[c_1897]) ).

cnf(c_2534,plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_2,e_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1898,c_92]) ).

cnf(c_2535,plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_2,e_1) ),
    inference(rewriting,[status(thm)],[c_2534]) ).

cnf(c_2542,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ group_element(e_1)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_2535,c_109]) ).

cnf(c_2543,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ group_element(e_1)
    | ~ group_element(e_2) ),
    inference(rewriting,[status(thm)],[c_2542]) ).

cnf(c_4550,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2543,c_94,c_92]) ).

cnf(c_4551,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2) ),
    inference(rewriting,[status(thm)],[c_4550]) ).

cnf(c_2546,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,X0)
    | ~ product(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[c_2535,c_100]) ).

cnf(c_2549,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,X0)
    | ~ product(e_2,X0,e_2) ),
    inference(rewriting,[status(thm)],[c_2546]) ).

cnf(c_4616,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2) ),
    inference(resolution,[status(thm)],[c_4551,c_2549]) ).

cnf(c_4629,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2) ),
    inference(rewriting,[status(thm)],[c_4616]) ).

cnf(c_135,plain,
    ( product(e_2,X0,e_1)
    | product(X0,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(X0) ),
    inference(factoring,[status(thm)],[c_129]) ).

cnf(c_136,plain,
    ( product(e_2,X0,e_1)
    | product(X0,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_135]) ).

cnf(c_1205,plain,
    ( product(e_2,X0,e_1)
    | product(X0,e_1,e_1)
    | ~ group_element(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_136,c_92]) ).

cnf(c_1206,plain,
    ( product(e_2,X0,e_1)
    | product(X0,e_1,e_1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_1205]) ).

cnf(c_1218,plain,
    ( product(e_1,e_1,X0)
    | ~ product(e_1,X0,X1)
    | product(e_2,X1,e_1)
    | ~ group_element(X1) ),
    inference(resolution,[status(thm)],[c_1206,c_100]) ).

cnf(c_1221,plain,
    ( product(e_1,e_1,X0)
    | ~ product(e_1,X0,X1)
    | product(e_2,X1,e_1)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_1218]) ).

cnf(c_1409,plain,
    ( product(e_1,e_1,X0)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,X0)
    | ~ group_element(e_1)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c_1221,c_129]) ).

cnf(c_1410,plain,
    ( product(e_1,e_1,X0)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,X0)
    | ~ group_element(e_1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_1409]) ).

cnf(c_2763,plain,
    ( product(e_1,e_1,X0)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,X0)
    | ~ group_element(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1410,c_92]) ).

cnf(c_2764,plain,
    ( product(e_1,e_1,X0)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,X0)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_2763]) ).

cnf(c_1242,plain,
    ( product(e_1,X0,X1)
    | product(X0,e_1,e_1)
    | ~ product(X0,X1,e_2)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c_1206,c_100]) ).

cnf(c_1245,plain,
    ( product(e_1,X0,X1)
    | product(X0,e_1,e_1)
    | ~ product(X0,X1,e_2)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_1242]) ).

cnf(c_2808,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_2764,c_1245]) ).

cnf(c_2815,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_2) ),
    inference(rewriting,[status(thm)],[c_2808]) ).

cnf(c_2951,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2815,c_94]) ).

cnf(c_2952,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(rewriting,[status(thm)],[c_2951]) ).

cnf(c_2964,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,X0)
    | product(e_1,e_2,e_1)
    | ~ product(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[c_2952,c_100]) ).

cnf(c_2967,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,X0)
    | product(e_1,e_2,e_1)
    | ~ product(e_1,X0,e_2) ),
    inference(rewriting,[status(thm)],[c_2964]) ).

cnf(c_4709,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_1) ),
    inference(resolution,[status(thm)],[c_4629,c_2967]) ).

cnf(c_4710,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_1) ),
    inference(rewriting,[status(thm)],[c_4709]) ).

cnf(c_1433,plain,
    ( product(e_1,X0,X1)
    | product(X0,e_1,e_1)
    | product(X0,X1,e_1)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(resolution,[status(thm)],[c_1245,c_81]) ).

cnf(c_1434,plain,
    ( product(e_1,X0,X1)
    | product(X0,e_1,e_1)
    | product(X0,X1,e_1)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_1433]) ).

cnf(c_3131,plain,
    ( product(e_1,X0,X1)
    | product(e_1,X1,X2)
    | product(X0,e_1,e_1)
    | ~ product(X1,X2,X0)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(resolution,[status(thm)],[c_1434,c_100]) ).

cnf(c_3134,plain,
    ( product(e_1,X0,X1)
    | product(e_1,X1,X2)
    | product(X0,e_1,e_1)
    | ~ product(X1,X2,X0)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_3131]) ).

cnf(c_4806,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | ~ group_element(e_1) ),
    inference(resolution,[status(thm)],[c_4710,c_3134]) ).

cnf(c_4809,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | ~ group_element(e_1) ),
    inference(rewriting,[status(thm)],[c_4806]) ).

cnf(c_4906,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4809,c_92]) ).

cnf(c_4907,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(rewriting,[status(thm)],[c_4906]) ).

cnf(c_139,plain,
    ( product(e_1,X0,e_1)
    | product(e_2,X0,e_1)
    | product(e_2,X0,X1)
    | ~ group_element(e_1)
    | ~ group_element(X1)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c_129,c_109]) ).

cnf(c_140,plain,
    ( product(e_1,X0,e_1)
    | product(e_2,X0,e_1)
    | product(e_2,X0,X1)
    | ~ group_element(e_1)
    | ~ group_element(X1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_139]) ).

cnf(c_225,plain,
    ( product(e_1,X0,e_1)
    | product(e_2,X0,e_1)
    | product(e_2,X0,X1)
    | ~ group_element(X1)
    | ~ group_element(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_140,c_92]) ).

cnf(c_226,plain,
    ( product(e_1,X0,e_1)
    | product(e_2,X0,e_1)
    | product(e_2,X0,X1)
    | ~ group_element(X1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_225]) ).

cnf(c_232,plain,
    ( product(e_1,X0,e_1)
    | product(e_2,X0,e_1)
    | ~ group_element(e_1)
    | ~ group_element(X0) ),
    inference(factoring,[status(thm)],[c_226]) ).

cnf(c_233,plain,
    ( product(e_1,X0,e_1)
    | product(e_2,X0,e_1)
    | ~ group_element(e_1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_232]) ).

cnf(c_1264,plain,
    ( product(e_1,X0,e_1)
    | product(e_2,X0,e_1)
    | ~ group_element(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_233,c_92]) ).

cnf(c_1265,plain,
    ( product(e_1,X0,e_1)
    | product(e_2,X0,e_1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_1264]) ).

cnf(c_1277,plain,
    ( product(e_1,X0,e_1)
    | product(e_1,X0,X1)
    | ~ product(X0,X1,e_2)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c_1265,c_100]) ).

cnf(c_1280,plain,
    ( product(e_1,X0,e_1)
    | product(e_1,X0,X1)
    | ~ product(X0,X1,e_2)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_1277]) ).

cnf(c_1457,plain,
    ( product(e_1,X0,e_1)
    | product(e_1,X0,X1)
    | product(X0,X1,e_1)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(resolution,[status(thm)],[c_1280,c_81]) ).

cnf(c_1458,plain,
    ( product(e_1,X0,e_1)
    | product(e_1,X0,X1)
    | product(X0,X1,e_1)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_1457]) ).

cnf(c_3759,plain,
    ( product(e_1,X0,e_1)
    | product(e_1,X0,X1)
    | product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(resolution,[status(thm)],[c_1458,c_100]) ).

cnf(c_3762,plain,
    ( product(e_1,X0,e_1)
    | product(e_1,X0,X1)
    | product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | ~ group_element(X0)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_3759]) ).

cnf(c_4924,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_4907,c_3762]) ).

cnf(c_4929,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2) ),
    inference(rewriting,[status(thm)],[c_4924]) ).

cnf(c_5144,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4929,c_94,c_92]) ).

cnf(c_5145,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1) ),
    inference(rewriting,[status(thm)],[c_5144]) ).

cnf(c_5156,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,X0)
    | ~ product(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[c_5145,c_100]) ).

cnf(c_5159,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,X0)
    | ~ product(e_2,X0,e_1) ),
    inference(rewriting,[status(thm)],[c_5156]) ).

cnf(c_5425,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_2) ),
    inference(resolution,[status(thm)],[c_5159,c_2535]) ).

cnf(c_5440,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_2) ),
    inference(rewriting,[status(thm)],[c_5425]) ).

cnf(c_2,plain,
    ( equalish(X0,X1)
    | ~ product(X2,X3,X1)
    | ~ product(X2,X3,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_239022.p',c_0_20_2) ).

cnf(c_60,plain,
    ( equalish(X0,X1)
    | ~ product(X2,X3,X1)
    | ~ product(X2,X3,X0) ),
    inference(copy,[status(esa)],[c_2]) ).

cnf(c_5148,plain,
    ( equalish(e_1,X0)
    | product(e_1,e_1,e_1)
    | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[c_5145,c_60]) ).

cnf(c_5149,plain,
    ( equalish(e_1,X0)
    | product(e_1,e_1,e_1)
    | ~ product(e_1,e_2,X0) ),
    inference(rewriting,[status(thm)],[c_5148]) ).

cnf(c_5484,plain,
    ( equalish(e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolution,[status(thm)],[c_5440,c_5149]) ).

cnf(c_5485,plain,
    ( equalish(e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(rewriting,[status(thm)],[c_5484]) ).

cnf(c_20,plain,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/tmp/iprover_modulo_239022.p',c_0_25_0) ).

cnf(c_96,plain,
    ~ equalish(e_1,e_2),
    inference(copy,[status(esa)],[c_20]) ).

cnf(c_5566,plain,
    product(e_1,e_1,e_1),
    inference(forward_subsumption_resolution,[status(thm)],[c_5485,c_96]) ).

cnf(c_5567,plain,
    product(e_1,e_1,e_1),
    inference(rewriting,[status(thm)],[c_5566]) ).

cnf(c_5,plain,
    ( equalish(X0,X1)
    | ~ product(X2,X1,X3)
    | ~ product(X2,X0,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_239022.p',c_0_21_2) ).

cnf(c_66,plain,
    ( equalish(X0,X1)
    | ~ product(X2,X1,X3)
    | ~ product(X2,X0,X3) ),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_5578,plain,
    ( equalish(e_1,X0)
    | ~ product(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[c_5567,c_66]) ).

cnf(c_5579,plain,
    ( equalish(e_1,X0)
    | ~ product(e_1,X0,e_1) ),
    inference(rewriting,[status(thm)],[c_5578]) ).

cnf(c_1219,plain,
    ( equalish(e_1,X0)
    | product(e_2,X1,e_1)
    | ~ product(X1,X0,e_1)
    | ~ group_element(X1) ),
    inference(resolution,[status(thm)],[c_1206,c_66]) ).

cnf(c_1220,plain,
    ( equalish(e_1,X0)
    | product(e_2,X1,e_1)
    | ~ product(X1,X0,e_1)
    | ~ group_element(X1) ),
    inference(rewriting,[status(thm)],[c_1219]) ).

cnf(c_1343,plain,
    ( equalish(e_1,X0)
    | product(e_1,X0,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[c_1220,c_1265]) ).

cnf(c_1352,plain,
    ( equalish(e_1,X0)
    | product(e_1,X0,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_1343]) ).

cnf(c_1478,plain,
    ( equalish(e_1,X0)
    | product(e_1,X0,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1352,c_94]) ).

cnf(c_1479,plain,
    ( equalish(e_1,X0)
    | product(e_1,X0,e_1)
    | product(e_2,e_2,e_1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_1478]) ).

cnf(c_5786,plain,
    ( equalish(e_1,X0)
    | product(e_2,e_2,e_1)
    | ~ group_element(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_5579,c_1479]) ).

cnf(c_5793,plain,
    ( equalish(e_1,X0)
    | product(e_2,e_2,e_1)
    | ~ group_element(X0) ),
    inference(rewriting,[status(thm)],[c_5786]) ).

cnf(c_6249,plain,
    ( product(e_2,e_2,e_1)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_5793,c_96]) ).

cnf(c_6250,plain,
    ( product(e_2,e_2,e_1)
    | ~ group_element(e_2) ),
    inference(rewriting,[status(thm)],[c_6249]) ).

cnf(c_6765,plain,
    product(e_2,e_2,e_1),
    inference(forward_subsumption_resolution,[status(thm)],[c_6250,c_94]) ).

cnf(c_6766,plain,
    product(e_2,e_2,e_1),
    inference(rewriting,[status(thm)],[c_6765]) ).

cnf(c_6768,plain,
    ( equalish(e_1,X0)
    | ~ product(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[c_6766,c_60]) ).

cnf(c_6769,plain,
    ( equalish(e_1,X0)
    | ~ product(e_2,e_2,X0) ),
    inference(rewriting,[status(thm)],[c_6768]) ).

cnf(c_6772,plain,
    ( product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ group_element(e_1)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_6766,c_109]) ).

cnf(c_6773,plain,
    ( product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ group_element(e_1)
    | ~ group_element(e_2) ),
    inference(rewriting,[status(thm)],[c_6772]) ).

cnf(c_6824,plain,
    ( product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6773,c_94,c_92]) ).

cnf(c_6825,plain,
    ( product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2) ),
    inference(rewriting,[status(thm)],[c_6824]) ).

cnf(c_6912,plain,
    ( equalish(e_1,e_2)
    | product(e_1,e_2,e_1) ),
    inference(resolution,[status(thm)],[c_6769,c_6825]) ).

cnf(c_6913,plain,
    ( equalish(e_1,e_2)
    | product(e_1,e_2,e_1) ),
    inference(rewriting,[status(thm)],[c_6912]) ).

cnf(c_7038,plain,
    product(e_1,e_2,e_1),
    inference(forward_subsumption_resolution,[status(thm)],[c_6913,c_96]) ).

cnf(c_7039,plain,
    product(e_1,e_2,e_1),
    inference(rewriting,[status(thm)],[c_7038]) ).

cnf(c_7073,plain,
    equalish(e_1,e_2),
    inference(resolution,[status(thm)],[c_7039,c_5579]) ).

cnf(c_7076,plain,
    equalish(e_1,e_2),
    inference(rewriting,[status(thm)],[c_7073]) ).

cnf(c_11815,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7076,c_96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.13/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 12:34:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.35  % Running in mono-core mode
% 0.21/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41  % Orientation found
% 0.21/0.41  % 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_3f4a5b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_239022.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_e45add | grep -v "SZS"
% 0.21/0.43  
% 0.21/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.43  
% 0.21/0.43  % 
% 0.21/0.43  % ------  iProver source info 
% 0.21/0.43  
% 0.21/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.43  % git: non_committed_changes: true
% 0.21/0.43  % git: last_make_outside_of_git: true
% 0.21/0.43  
% 0.21/0.43  % 
% 0.21/0.43  % ------ Input Options
% 0.21/0.43  
% 0.21/0.43  % --out_options                         all
% 0.21/0.43  % --tptp_safe_out                       true
% 0.21/0.43  % --problem_path                        ""
% 0.21/0.43  % --include_path                        ""
% 0.21/0.43  % --clausifier                          .//eprover
% 0.21/0.43  % --clausifier_options                  --tstp-format  
% 0.21/0.43  % --stdin                               false
% 0.21/0.43  % --dbg_backtrace                       false
% 0.21/0.43  % --dbg_dump_prop_clauses               false
% 0.21/0.43  % --dbg_dump_prop_clauses_file          -
% 0.21/0.43  % --dbg_out_stat                        false
% 0.21/0.43  
% 0.21/0.43  % ------ General Options
% 0.21/0.43  
% 0.21/0.43  % --fof                                 false
% 0.21/0.43  % --time_out_real                       150.
% 0.21/0.43  % --time_out_prep_mult                  0.2
% 0.21/0.43  % --time_out_virtual                    -1.
% 0.21/0.43  % --schedule                            none
% 0.21/0.43  % --ground_splitting                    input
% 0.21/0.43  % --splitting_nvd                       16
% 0.21/0.43  % --non_eq_to_eq                        false
% 0.21/0.43  % --prep_gs_sim                         true
% 0.21/0.43  % --prep_unflatten                      false
% 0.21/0.43  % --prep_res_sim                        true
% 0.21/0.43  % --prep_upred                          true
% 0.21/0.43  % --res_sim_input                       true
% 0.21/0.43  % --clause_weak_htbl                    true
% 0.21/0.43  % --gc_record_bc_elim                   false
% 0.21/0.43  % --symbol_type_check                   false
% 0.21/0.43  % --clausify_out                        false
% 0.21/0.43  % --large_theory_mode                   false
% 0.21/0.43  % --prep_sem_filter                     none
% 0.21/0.43  % --prep_sem_filter_out                 false
% 0.21/0.43  % --preprocessed_out                    false
% 0.21/0.43  % --sub_typing                          false
% 0.21/0.43  % --brand_transform                     false
% 0.21/0.43  % --pure_diseq_elim                     true
% 0.21/0.43  % --min_unsat_core                      false
% 0.21/0.43  % --pred_elim                           true
% 0.21/0.43  % --add_important_lit                   false
% 0.21/0.43  % --soft_assumptions                    false
% 0.21/0.43  % --reset_solvers                       false
% 0.21/0.43  % --bc_imp_inh                          []
% 0.21/0.43  % --conj_cone_tolerance                 1.5
% 0.21/0.43  % --prolific_symb_bound                 500
% 0.21/0.43  % --lt_threshold                        2000
% 0.21/0.43  
% 0.21/0.43  % ------ SAT Options
% 0.21/0.43  
% 0.21/0.43  % --sat_mode                            false
% 0.21/0.43  % --sat_fm_restart_options              ""
% 0.21/0.43  % --sat_gr_def                          false
% 0.21/0.43  % --sat_epr_types                       true
% 0.21/0.43  % --sat_non_cyclic_types                false
% 0.21/0.43  % --sat_finite_models                   false
% 0.21/0.43  % --sat_fm_lemmas                       false
% 0.21/0.43  % --sat_fm_prep                         false
% 0.21/0.43  % --sat_fm_uc_incr                      true
% 0.21/0.43  % --sat_out_model                       small
% 0.21/0.43  % --sat_out_clauses                     false
% 0.21/0.43  
% 0.21/0.43  % ------ QBF Options
% 0.21/0.43  
% 0.21/0.43  % --qbf_mode                            false
% 0.21/0.43  % --qbf_elim_univ                       true
% 0.21/0.43  % --qbf_sk_in                           true
% 0.21/0.43  % --qbf_pred_elim                       true
% 0.21/0.43  % --qbf_split                           32
% 0.21/0.43  
% 0.21/0.43  % ------ BMC1 Options
% 0.21/0.43  
% 0.21/0.43  % --bmc1_incremental                    false
% 0.21/0.43  % --bmc1_axioms                         reachable_all
% 0.21/0.43  % --bmc1_min_bound                      0
% 0.21/0.43  % --bmc1_max_bound                      -1
% 0.21/0.43  % --bmc1_max_bound_default              -1
% 0.21/0.43  % --bmc1_symbol_reachability            true
% 0.21/0.43  % --bmc1_property_lemmas                false
% 0.21/0.43  % --bmc1_k_induction                    false
% 0.21/0.43  % --bmc1_non_equiv_states               false
% 0.21/0.43  % --bmc1_deadlock                       false
% 0.21/0.43  % --bmc1_ucm                            false
% 0.21/0.43  % --bmc1_add_unsat_core                 none
% 0.21/0.43  % --bmc1_unsat_core_children            false
% 0.21/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.43  % --bmc1_out_stat                       full
% 0.21/0.43  % --bmc1_ground_init                    false
% 0.21/0.43  % --bmc1_pre_inst_next_state            false
% 0.21/0.43  % --bmc1_pre_inst_state                 false
% 0.21/0.43  % --bmc1_pre_inst_reach_state           false
% 0.21/0.43  % --bmc1_out_unsat_core                 false
% 0.21/0.43  % --bmc1_aig_witness_out                false
% 0.21/0.43  % --bmc1_verbose                        false
% 0.21/0.43  % --bmc1_dump_clauses_tptp              false
% 0.21/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.44  % --bmc1_dump_file                      -
% 0.21/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.44  % --bmc1_ucm_extend_mode                1
% 0.21/0.44  % --bmc1_ucm_init_mode                  2
% 0.21/0.44  % --bmc1_ucm_cone_mode                  none
% 0.21/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.44  % --bmc1_ucm_relax_model                4
% 0.21/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.44  % --bmc1_ucm_layered_model              none
% 0.21/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.44  
% 0.21/0.44  % ------ AIG Options
% 0.21/0.44  
% 0.21/0.44  % --aig_mode                            false
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation Options
% 0.21/0.44  
% 0.21/0.44  % --instantiation_flag                  true
% 0.21/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44  % --inst_solver_per_active              750
% 0.21/0.44  % --inst_solver_calls_frac              0.5
% 0.21/0.44  % --inst_passive_queue_type             priority_queues
% 0.21/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44  % --inst_passive_queues_freq            [25;2]
% 0.21/0.44  % --inst_dismatching                    true
% 0.21/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.44  % --inst_prop_sim_given                 true
% 0.21/0.44  % --inst_prop_sim_new                   false
% 0.21/0.44  % --inst_orphan_elimination             true
% 0.21/0.44  % --inst_learning_loop_flag             true
% 0.21/0.44  % --inst_learning_start                 3000
% 0.21/0.44  % --inst_learning_factor                2
% 0.21/0.44  % --inst_start_prop_sim_after_learn     3
% 0.21/0.44  % --inst_sel_renew                      solver
% 0.21/0.44  % --inst_lit_activity_flag              true
% 0.21/0.44  % --inst_out_proof                      true
% 0.21/0.44  
% 0.21/0.44  % ------ Resolution Options
% 0.21/0.44  
% 0.21/0.44  % --resolution_flag                     true
% 0.21/0.44  % --res_lit_sel                         kbo_max
% 0.21/0.44  % --res_to_prop_solver                  none
% 0.21/0.44  % --res_prop_simpl_new                  false
% 0.21/0.44  % --res_prop_simpl_given                false
% 0.21/0.44  % --res_passive_queue_type              priority_queues
% 0.21/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.44  % --res_passive_queues_freq             [15;5]
% 0.21/0.44  % --res_forward_subs                    full
% 0.21/0.44  % --res_backward_subs                   full
% 0.21/0.44  % --res_forward_subs_resolution         true
% 0.21/0.44  % --res_backward_subs_resolution        true
% 0.21/0.44  % --res_orphan_elimination              false
% 0.21/0.44  % --res_time_limit                      1000.
% 0.21/0.44  % --res_out_proof                       true
% 0.21/0.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_3f4a5b.s
% 0.21/0.44  % --modulo                              true
% 0.21/0.44  
% 0.21/0.44  % ------ Combination Options
% 0.21/0.44  
% 0.21/0.44  % --comb_res_mult                       1000
% 0.21/0.44  % --comb_inst_mult                      300
% 0.21/0.44  % ------ 
% 0.21/0.44  
% 0.21/0.44  % ------ Parsing...% successful
% 0.21/0.44  
% 0.21/0.44  % ------ 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 % 
% 0.21/0.44  
% 0.21/0.44  % ------ Proving...
% 0.21/0.44  % ------ Problem Properties 
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % EPR                                   true
% 0.21/0.44  % Horn                                  false
% 0.21/0.44  % Has equality                          false
% 0.21/0.44  
% 0.21/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  % % ------ Current options:
% 0.21/0.44  
% 0.21/0.44  % ------ Input Options
% 0.21/0.44  
% 0.21/0.44  % --out_options                         all
% 0.21/0.44  % --tptp_safe_out                       true
% 0.21/0.44  % --problem_path                        ""
% 0.21/0.44  % --include_path                        ""
% 0.21/0.44  % --clausifier                          .//eprover
% 0.21/0.44  % --clausifier_options                  --tstp-format  
% 0.21/0.44  % --stdin                               false
% 0.21/0.44  % --dbg_backtrace                       false
% 0.21/0.44  % --dbg_dump_prop_clauses               false
% 0.21/0.44  % --dbg_dump_prop_clauses_file          -
% 0.21/0.44  % --dbg_out_stat                        false
% 0.21/0.44  
% 0.21/0.44  % ------ General Options
% 0.21/0.44  
% 0.21/0.44  % --fof                                 false
% 0.21/0.44  % --time_out_real                       150.
% 0.21/0.44  % --time_out_prep_mult                  0.2
% 0.21/0.44  % --time_out_virtual                    -1.
% 0.21/0.44  % --schedule                            none
% 0.21/0.44  % --ground_splitting                    input
% 0.21/0.44  % --splitting_nvd                       16
% 0.21/0.44  % --non_eq_to_eq                        false
% 0.21/0.44  % --prep_gs_sim                         true
% 0.21/0.44  % --prep_unflatten                      false
% 0.21/0.44  % --prep_res_sim                        true
% 0.21/0.44  % --prep_upred                          true
% 0.21/0.44  % --res_sim_input                       true
% 0.21/0.44  % --clause_weak_htbl                    true
% 0.21/0.44  % --gc_record_bc_elim                   false
% 0.21/0.44  % --symbol_type_check                   false
% 0.21/0.44  % --clausify_out                        false
% 0.21/0.44  % --large_theory_mode                   false
% 0.21/0.44  % --prep_sem_filter                     none
% 0.21/0.44  % --prep_sem_filter_out                 false
% 0.21/0.44  % --preprocessed_out                    false
% 0.21/0.44  % --sub_typing                          false
% 0.21/0.44  % --brand_transform                     false
% 0.21/0.44  % --pure_diseq_elim                     true
% 0.21/0.44  % --min_unsat_core                      false
% 0.21/0.44  % --pred_elim                           true
% 0.21/0.44  % --add_important_lit                   false
% 0.21/0.44  % --soft_assumptions                    false
% 0.21/0.44  % --reset_solvers                       false
% 0.21/0.44  % --bc_imp_inh                          []
% 0.21/0.44  % --conj_cone_tolerance                 1.5
% 0.21/0.44  % --prolific_symb_bound                 500
% 0.21/0.44  % --lt_threshold                        2000
% 0.21/0.44  
% 0.21/0.44  % ------ SAT Options
% 0.21/0.44  
% 0.21/0.44  % --sat_mode                            false
% 0.21/0.44  % --sat_fm_restart_options              ""
% 0.21/0.44  % --sat_gr_def                          false
% 0.21/0.44  % --sat_epr_types                       true
% 0.21/0.44  % --sat_non_cyclic_types                false
% 0.21/0.44  % --sat_finite_models                   false
% 0.21/0.44  % --sat_fm_lemmas                       false
% 0.21/0.44  % --sat_fm_prep                         false
% 0.21/0.44  % --sat_fm_uc_incr                      true
% 0.21/0.44  % --sat_out_model                       small
% 0.21/0.44  % --sat_out_clauses                     false
% 0.21/0.44  
% 0.21/0.44  % ------ QBF Options
% 0.21/0.44  
% 0.21/0.44  % --qbf_mode                            false
% 0.21/0.44  % --qbf_elim_univ                       true
% 0.21/0.44  % --qbf_sk_in                           true
% 0.21/0.44  % --qbf_pred_elim                       true
% 0.21/0.44  % --qbf_split                           32
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1 Options
% 0.21/0.44  
% 0.21/0.44  % --bmc1_incremental                    false
% 0.21/0.44  % --bmc1_axioms                         reachable_all
% 0.21/0.44  % --bmc1_min_bound                      0
% 0.21/0.44  % --bmc1_max_bound                      -1
% 0.21/0.44  % --bmc1_max_bound_default              -1
% 0.21/0.44  % --bmc1_symbol_reachability            true
% 0.21/0.44  % --bmc1_property_lemmas                false
% 0.21/0.44  % --bmc1_k_induction                    false
% 0.21/0.44  % --bmc1_non_equiv_states               false
% 0.21/0.44  % --bmc1_deadlock                       false
% 0.21/0.44  % --bmc1_ucm                            false
% 0.21/0.44  % --bmc1_add_unsat_core                 none
% 0.21/0.44  % --bmc1_unsat_core_children            false
% 0.21/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.44  % --bmc1_out_stat                       full
% 0.21/0.44  % --bmc1_ground_init                    false
% 0.21/0.44  % --bmc1_pre_inst_next_state            false
% 0.21/0.44  % --bmc1_pre_inst_state                 false
% 0.21/0.44  % --bmc1_pre_inst_reach_state           false
% 0.21/0.44  % --bmc1_out_unsat_core                 false
% 0.21/0.44  % --bmc1_aig_witness_out                false
% 0.21/0.44  % --bmc1_verbose                        false
% 0.21/0.44  % --bmc1_dump_clauses_tptp              false
% 0.21/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.44  % --bmc1_dump_file                      -
% 0.21/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.44  % --bmc1_ucm_extend_mode                1
% 0.21/0.44  % --bmc1_ucm_init_mode                  2
% 0.21/0.44  % --bmc1_ucm_cone_mode                  none
% 0.21/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.44  % --bmc1_ucm_relax_model                4
% 0.21/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.44  % --bmc1_ucm_layered_model              none
% 0.21/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.44  
% 0.21/0.44  % ------ AIG Options
% 0.21/0.44  
% 0.21/0.44  % --aig_mode                            false
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation Options
% 0.21/0.44  
% 0.21/0.44  % --instantiation_flag                  true
% 0.21/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44  % --inst_solver_per_active              750
% 0.21/0.44  % --inst_solver_calls_frac              0.5
% 0.21/0.44  % --inst_passive_queue_type             priority_queues
% 0.21/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44  % --inst_passive_queues_freq            [25;2]
% 0.21/0.44  % --inst_dismatching                    true
% 0.21/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.44  % --inst_prop_sim_given                 true
% 0.41/0.62  % --inst_prop_sim_new                   false
% 0.41/0.62  % --inst_orphan_elimination             true
% 0.41/0.62  % --inst_learning_loop_flag             true
% 0.41/0.62  % --inst_learning_start                 3000
% 0.41/0.62  % --inst_learning_factor                2
% 0.41/0.62  % --inst_start_prop_sim_after_learn     3
% 0.41/0.62  % --inst_sel_renew                      solver
% 0.41/0.62  % --inst_lit_activity_flag              true
% 0.41/0.62  % --inst_out_proof                      true
% 0.41/0.62  
% 0.41/0.62  % ------ Resolution Options
% 0.41/0.62  
% 0.41/0.62  % --resolution_flag                     true
% 0.41/0.62  % --res_lit_sel                         kbo_max
% 0.41/0.62  % --res_to_prop_solver                  none
% 0.41/0.62  % --res_prop_simpl_new                  false
% 0.41/0.62  % --res_prop_simpl_given                false
% 0.41/0.62  % --res_passive_queue_type              priority_queues
% 0.41/0.62  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.41/0.62  % --res_passive_queues_freq             [15;5]
% 0.41/0.62  % --res_forward_subs                    full
% 0.41/0.62  % --res_backward_subs                   full
% 0.41/0.62  % --res_forward_subs_resolution         true
% 0.41/0.62  % --res_backward_subs_resolution        true
% 0.41/0.62  % --res_orphan_elimination              false
% 0.41/0.62  % --res_time_limit                      1000.
% 0.41/0.62  % --res_out_proof                       true
% 0.41/0.62  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_3f4a5b.s
% 0.41/0.62  % --modulo                              true
% 0.41/0.62  
% 0.41/0.62  % ------ Combination Options
% 0.41/0.62  
% 0.41/0.62  % --comb_res_mult                       1000
% 0.41/0.62  % --comb_inst_mult                      300
% 0.41/0.62  % ------ 
% 0.41/0.62  
% 0.41/0.62  
% 0.41/0.62  
% 0.41/0.62  % ------ Proving...
% 0.41/0.62  % 
% 0.41/0.62  
% 0.41/0.62  
% 0.41/0.62  %  Resolution empty clause
% 0.41/0.62  
% 0.41/0.62  % ------                             Statistics
% 0.41/0.62  
% 0.41/0.62  % ------ General
% 0.41/0.62  
% 0.41/0.62  % num_of_input_clauses:                 23
% 0.41/0.62  % num_of_input_neg_conjectures:         1
% 0.41/0.62  % num_of_splits:                        0
% 0.41/0.62  % num_of_split_atoms:                   0
% 0.41/0.62  % num_of_sem_filtered_clauses:          0
% 0.41/0.62  % num_of_subtypes:                      0
% 0.41/0.62  % monotx_restored_types:                0
% 0.41/0.62  % sat_num_of_epr_types:                 0
% 0.41/0.62  % sat_num_of_non_cyclic_types:          0
% 0.41/0.62  % sat_guarded_non_collapsed_types:      0
% 0.41/0.62  % is_epr:                               1
% 0.41/0.62  % is_horn:                              0
% 0.41/0.62  % has_eq:                               0
% 0.41/0.62  % num_pure_diseq_elim:                  0
% 0.41/0.62  % simp_replaced_by:                     0
% 0.41/0.62  % res_preprocessed:                     2
% 0.41/0.62  % prep_upred:                           0
% 0.41/0.62  % prep_unflattend:                      0
% 0.41/0.62  % pred_elim_cands:                      0
% 0.41/0.62  % pred_elim:                            0
% 0.41/0.62  % pred_elim_cl:                         0
% 0.41/0.62  % pred_elim_cycles:                     0
% 0.41/0.62  % forced_gc_time:                       0
% 0.41/0.62  % gc_basic_clause_elim:                 0
% 0.41/0.62  % parsing_time:                         0.001
% 0.41/0.62  % sem_filter_time:                      0.
% 0.41/0.62  % pred_elim_time:                       0.
% 0.41/0.62  % out_proof_time:                       0.003
% 0.41/0.62  % monotx_time:                          0.
% 0.41/0.62  % subtype_inf_time:                     0.
% 0.41/0.62  % unif_index_cands_time:                0.
% 0.41/0.62  % unif_index_add_time:                  0.
% 0.41/0.62  % total_time:                           0.204
% 0.41/0.62  % num_of_symbols:                       32
% 0.41/0.62  % num_of_terms:                         240
% 0.41/0.62  
% 0.41/0.62  % ------ Propositional Solver
% 0.41/0.62  
% 0.41/0.62  % prop_solver_calls:                    1
% 0.41/0.62  % prop_fast_solver_calls:               9
% 0.41/0.62  % prop_num_of_clauses:                  19
% 0.41/0.62  % prop_preprocess_simplified:           77
% 0.41/0.62  % prop_fo_subsumed:                     0
% 0.41/0.62  % prop_solver_time:                     0.
% 0.41/0.62  % prop_fast_solver_time:                0.
% 0.41/0.62  % prop_unsat_core_time:                 0.
% 0.41/0.62  
% 0.41/0.62  % ------ QBF 
% 0.41/0.62  
% 0.41/0.62  % qbf_q_res:                            0
% 0.41/0.62  % qbf_num_tautologies:                  0
% 0.41/0.62  % qbf_prep_cycles:                      0
% 0.41/0.62  
% 0.41/0.62  % ------ BMC1
% 0.41/0.62  
% 0.41/0.62  % bmc1_current_bound:                   -1
% 0.41/0.62  % bmc1_last_solved_bound:               -1
% 0.41/0.62  % bmc1_unsat_core_size:                 -1
% 0.41/0.62  % bmc1_unsat_core_parents_size:         -1
% 0.41/0.62  % bmc1_merge_next_fun:                  0
% 0.41/0.62  % bmc1_unsat_core_clauses_time:         0.
% 0.41/0.62  
% 0.41/0.62  % ------ Instantiation
% 0.41/0.62  
% 0.41/0.62  % inst_num_of_clauses:                  23
% 0.41/0.62  % inst_num_in_passive:                  0
% 0.41/0.62  % inst_num_in_active:                   0
% 0.41/0.62  % inst_num_in_unprocessed:              23
% 0.41/0.62  % inst_num_of_loops:                    0
% 0.41/0.62  % inst_num_of_learning_restarts:        0
% 0.41/0.62  % inst_num_moves_active_passive:        0
% 0.41/0.62  % inst_lit_activity:                    0
% 0.41/0.62  % inst_lit_activity_moves:              0
% 0.41/0.62  % inst_num_tautologies:                 0
% 0.41/0.62  % inst_num_prop_implied:                0
% 0.41/0.62  % inst_num_existing_simplified:         0
% 0.41/0.62  % inst_num_eq_res_simplified:           0
% 0.41/0.62  % inst_num_child_elim:                  0
% 0.41/0.62  % inst_num_of_dismatching_blockings:    0
% 0.41/0.62  % inst_num_of_non_proper_insts:         0
% 0.41/0.62  % inst_num_of_duplicates:               0
% 0.41/0.62  % inst_inst_num_from_inst_to_res:       0
% 0.41/0.62  % inst_dismatching_checking_time:       0.
% 0.41/0.62  
% 0.41/0.62  % ------ Resolution
% 0.41/0.62  
% 0.41/0.62  % res_num_of_clauses:                   983
% 0.41/0.62  % res_num_in_passive:                   1616
% 0.41/0.62  % res_num_in_active:                    93
% 0.41/0.62  % res_num_of_loops:                     607
% 0.41/0.62  % res_forward_subset_subsumed:          2587
% 0.41/0.62  % res_backward_subset_subsumed:         885
% 0.41/0.62  % res_forward_subsumed:                 368
% 0.41/0.62  % res_backward_subsumed:                104
% 0.41/0.62  % res_forward_subsumption_resolution:   34
% 0.41/0.62  % res_backward_subsumption_resolution:  23
% 0.41/0.62  % res_clause_to_clause_subsumption:     6404
% 0.41/0.62  % res_orphan_elimination:               0
% 0.41/0.62  % res_tautology_del:                    46
% 0.41/0.62  % res_num_eq_res_simplified:            0
% 0.41/0.62  % res_num_sel_changes:                  0
% 0.41/0.62  % res_moves_from_active_to_pass:        0
% 0.41/0.62  
% 0.41/0.62  % Status Unsatisfiable
% 0.41/0.62  % SZS status Unsatisfiable
% 0.41/0.62  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------