%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GRP129-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 09:45:11 EDT 2022

% Result   : Unsatisfiable 10.21s 10.45s
% Output   : CNFRefutation 10.21s
% 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_4_is_not_e_3,axiom,
    ~ equalish(e_4,e_3),
    input ).

fof(e_4_is_not_e_3_0,plain,
    ( ~ equalish(e_4,e_3)
    | $false ),
    inference(orientation,[status(thm)],[e_4_is_not_e_3]) ).

cnf(e_4_is_not_e_2,axiom,
    ~ equalish(e_4,e_2),
    input ).

fof(e_4_is_not_e_2_0,plain,
    ( ~ equalish(e_4,e_2)
    | $false ),
    inference(orientation,[status(thm)],[e_4_is_not_e_2]) ).

cnf(e_4_is_not_e_1,axiom,
    ~ equalish(e_4,e_1),
    input ).

fof(e_4_is_not_e_1_0,plain,
    ( ~ equalish(e_4,e_1)
    | $false ),
    inference(orientation,[status(thm)],[e_4_is_not_e_1]) ).

cnf(e_3_is_not_e_4,axiom,
    ~ equalish(e_3,e_4),
    input ).

fof(e_3_is_not_e_4_0,plain,
    ( ~ equalish(e_3,e_4)
    | $false ),
    inference(orientation,[status(thm)],[e_3_is_not_e_4]) ).

cnf(e_3_is_not_e_2,axiom,
    ~ equalish(e_3,e_2),
    input ).

fof(e_3_is_not_e_2_0,plain,
    ( ~ equalish(e_3,e_2)
    | $false ),
    inference(orientation,[status(thm)],[e_3_is_not_e_2]) ).

cnf(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1),
    input ).

fof(e_3_is_not_e_1_0,plain,
    ( ~ equalish(e_3,e_1)
    | $false ),
    inference(orientation,[status(thm)],[e_3_is_not_e_1]) ).

cnf(e_2_is_not_e_4,axiom,
    ~ equalish(e_2,e_4),
    input ).

fof(e_2_is_not_e_4_0,plain,
    ( ~ equalish(e_2,e_4)
    | $false ),
    inference(orientation,[status(thm)],[e_2_is_not_e_4]) ).

cnf(e_2_is_not_e_3,axiom,
    ~ equalish(e_2,e_3),
    input ).

fof(e_2_is_not_e_3_0,plain,
    ( ~ equalish(e_2,e_3)
    | $false ),
    inference(orientation,[status(thm)],[e_2_is_not_e_3]) ).

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_4,axiom,
    ~ equalish(e_1,e_4),
    input ).

fof(e_1_is_not_e_4_0,plain,
    ( ~ equalish(e_1,e_4)
    | $false ),
    inference(orientation,[status(thm)],[e_1_is_not_e_4]) ).

cnf(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3),
    input ).

fof(e_1_is_not_e_3_0,plain,
    ( ~ equalish(e_1,e_3)
    | $false ),
    inference(orientation,[status(thm)],[e_1_is_not_e_3]) ).

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_4,axiom,
    group_element(e_4),
    input ).

fof(element_4_0,plain,
    ( group_element(e_4)
    | $false ),
    inference(orientation,[status(thm)],[element_4]) ).

cnf(element_3,axiom,
    group_element(e_3),
    input ).

fof(element_3_0,plain,
    ( group_element(e_3)
    | $false ),
    inference(orientation,[status(thm)],[element_3]) ).

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(cycle3,axiom,
    cycle(e_4,e_0),
    input ).

fof(cycle3_0,plain,
    ( cycle(e_4,e_0)
    | $false ),
    inference(orientation,[status(thm)],[cycle3]) ).

cnf(e_4_greater_e_3,axiom,
    greater(e_4,e_3),
    input ).

fof(e_4_greater_e_3_0,plain,
    ( greater(e_4,e_3)
    | $false ),
    inference(orientation,[status(thm)],[e_4_greater_e_3]) ).

cnf(e_4_greater_e_2,axiom,
    greater(e_4,e_2),
    input ).

fof(e_4_greater_e_2_0,plain,
    ( greater(e_4,e_2)
    | $false ),
    inference(orientation,[status(thm)],[e_4_greater_e_2]) ).

cnf(e_3_greater_e_2,axiom,
    greater(e_3,e_2),
    input ).

fof(e_3_greater_e_2_0,plain,
    ( greater(e_3,e_2)
    | $false ),
    inference(orientation,[status(thm)],[e_3_greater_e_2]) ).

cnf(e_4_greater_e_1,axiom,
    greater(e_4,e_1),
    input ).

fof(e_4_greater_e_1_0,plain,
    ( greater(e_4,e_1)
    | $false ),
    inference(orientation,[status(thm)],[e_4_greater_e_1]) ).

cnf(e_3_greater_e_1,axiom,
    greater(e_3,e_1),
    input ).

fof(e_3_greater_e_1_0,plain,
    ( greater(e_3,e_1)
    | $false ),
    inference(orientation,[status(thm)],[e_3_greater_e_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_4_greater_e_0,axiom,
    greater(e_4,e_0),
    input ).

fof(e_4_greater_e_0_0,plain,
    ( greater(e_4,e_0)
    | $false ),
    inference(orientation,[status(thm)],[e_4_greater_e_0]) ).

cnf(e_3_greater_e_0,axiom,
    greater(e_3,e_0),
    input ).

fof(e_3_greater_e_0_0,plain,
    ( greater(e_3,e_0)
    | $false ),
    inference(orientation,[status(thm)],[e_3_greater_e_0]) ).

cnf(e_2_greater_e_0,axiom,
    greater(e_2,e_0),
    input ).

fof(e_2_greater_e_0_0,plain,
    ( greater(e_2,e_0)
    | $false ),
    inference(orientation,[status(thm)],[e_2_greater_e_0]) ).

cnf(e_1_greater_e_0,axiom,
    greater(e_1,e_0),
    input ).

fof(e_1_greater_e_0_0,plain,
    ( greater(e_1,e_0)
    | $false ),
    inference(orientation,[status(thm)],[e_1_greater_e_0]) ).

cnf(e_3_then_e_4,axiom,
    next(e_3,e_4),
    input ).

fof(e_3_then_e_4_0,plain,
    ( next(e_3,e_4)
    | $false ),
    inference(orientation,[status(thm)],[e_3_then_e_4]) ).

cnf(e_2_then_e_3,axiom,
    next(e_2,e_3),
    input ).

fof(e_2_then_e_3_0,plain,
    ( next(e_2,e_3)
    | $false ),
    inference(orientation,[status(thm)],[e_2_then_e_3]) ).

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]) ).

cnf(e_0_then_e_1,axiom,
    next(e_0,e_1),
    input ).

fof(e_0_then_e_1_0,plain,
    ( next(e_0,e_1)
    | $false ),
    inference(orientation,[status(thm)],[e_0_then_e_1]) ).

fof(def_lhs_atom1,axiom,
    ( lhs_atom1
  <=> next(e_0,e_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ( lhs_atom1
    | $false ),
    inference(fold_definition,[status(thm)],[e_0_then_e_1_0,def_lhs_atom1]) ).

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

fof(to_be_clausified_1,plain,
    ( lhs_atom2
    | $false ),
    inference(fold_definition,[status(thm)],[e_1_then_e_2_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ( lhs_atom3
  <=> next(e_2,e_3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ( lhs_atom3
    | $false ),
    inference(fold_definition,[status(thm)],[e_2_then_e_3_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ( lhs_atom4
  <=> next(e_3,e_4) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[e_3_then_e_4_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> greater(e_1,e_0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[e_1_greater_e_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ( lhs_atom6
  <=> greater(e_2,e_0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ( lhs_atom6
    | $false ),
    inference(fold_definition,[status(thm)],[e_2_greater_e_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ( lhs_atom7
  <=> greater(e_3,e_0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ( lhs_atom7
    | $false ),
    inference(fold_definition,[status(thm)],[e_3_greater_e_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ( lhs_atom8
  <=> greater(e_4,e_0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ( lhs_atom8
    | $false ),
    inference(fold_definition,[status(thm)],[e_4_greater_e_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ( lhs_atom9
  <=> greater(e_2,e_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ( lhs_atom9
    | $false ),
    inference(fold_definition,[status(thm)],[e_2_greater_e_1_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ( lhs_atom10
  <=> greater(e_3,e_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ( lhs_atom10
    | $false ),
    inference(fold_definition,[status(thm)],[e_3_greater_e_1_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ( lhs_atom11
  <=> greater(e_4,e_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ( lhs_atom11
    | $false ),
    inference(fold_definition,[status(thm)],[e_4_greater_e_1_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ( lhs_atom12
  <=> greater(e_3,e_2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ( lhs_atom12
    | $false ),
    inference(fold_definition,[status(thm)],[e_3_greater_e_2_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ( lhs_atom13
  <=> greater(e_4,e_2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ( lhs_atom13
    | $false ),
    inference(fold_definition,[status(thm)],[e_4_greater_e_2_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ( lhs_atom14
  <=> greater(e_4,e_3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ( lhs_atom14
    | $false ),
    inference(fold_definition,[status(thm)],[e_4_greater_e_3_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ( lhs_atom15
  <=> cycle(e_4,e_0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ( lhs_atom15
    | $false ),
    inference(fold_definition,[status(thm)],[cycle3_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ( lhs_atom16
  <=> group_element(e_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ( lhs_atom16
    | $false ),
    inference(fold_definition,[status(thm)],[element_1_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ( lhs_atom17
  <=> group_element(e_2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ( lhs_atom17
    | $false ),
    inference(fold_definition,[status(thm)],[element_2_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ( lhs_atom18
  <=> group_element(e_3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ( lhs_atom18
    | $false ),
    inference(fold_definition,[status(thm)],[element_3_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ( lhs_atom19
  <=> group_element(e_4) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ( lhs_atom19
    | $false ),
    inference(fold_definition,[status(thm)],[element_4_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ( lhs_atom20
  <=> ~ equalish(e_1,e_2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ( lhs_atom20
    | $false ),
    inference(fold_definition,[status(thm)],[e_1_is_not_e_2_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ( lhs_atom21
  <=> ~ equalish(e_1,e_3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ( lhs_atom21
    | $false ),
    inference(fold_definition,[status(thm)],[e_1_is_not_e_3_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ( lhs_atom22
  <=> ~ equalish(e_1,e_4) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ( lhs_atom22
    | $false ),
    inference(fold_definition,[status(thm)],[e_1_is_not_e_4_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ( lhs_atom23
  <=> ~ equalish(e_2,e_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ( lhs_atom23
    | $false ),
    inference(fold_definition,[status(thm)],[e_2_is_not_e_1_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ( lhs_atom24
  <=> ~ equalish(e_2,e_3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ( lhs_atom24
    | $false ),
    inference(fold_definition,[status(thm)],[e_2_is_not_e_3_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ( lhs_atom25
  <=> ~ equalish(e_2,e_4) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ( lhs_atom25
    | $false ),
    inference(fold_definition,[status(thm)],[e_2_is_not_e_4_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ( lhs_atom26
  <=> ~ equalish(e_3,e_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ( lhs_atom26
    | $false ),
    inference(fold_definition,[status(thm)],[e_3_is_not_e_1_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ( lhs_atom27
  <=> ~ equalish(e_3,e_2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ( lhs_atom27
    | $false ),
    inference(fold_definition,[status(thm)],[e_3_is_not_e_2_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ( lhs_atom28
  <=> ~ equalish(e_3,e_4) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ( lhs_atom28
    | $false ),
    inference(fold_definition,[status(thm)],[e_3_is_not_e_4_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ( lhs_atom29
  <=> ~ equalish(e_4,e_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ( lhs_atom29
    | $false ),
    inference(fold_definition,[status(thm)],[e_4_is_not_e_1_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ( lhs_atom30
  <=> ~ equalish(e_4,e_2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ( lhs_atom30
    | $false ),
    inference(fold_definition,[status(thm)],[e_4_is_not_e_2_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ( lhs_atom31
  <=> ~ equalish(e_4,e_3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ( lhs_atom31
    | $false ),
    inference(fold_definition,[status(thm)],[e_4_is_not_e_3_0,def_lhs_atom31]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ( lhs_atom31
    | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_1,axiom,
    ( lhs_atom30
    | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_2,axiom,
    ( lhs_atom29
    | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_3,axiom,
    ( lhs_atom28
    | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_4,axiom,
    ( lhs_atom27
    | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_5,axiom,
    ( lhs_atom26
    | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_6,axiom,
    ( lhs_atom25
    | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_7,axiom,
    ( lhs_atom24
    | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_8,axiom,
    ( lhs_atom23
    | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_9,axiom,
    ( lhs_atom22
    | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_10,axiom,
    ( lhs_atom21
    | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_11,axiom,
    ( lhs_atom20
    | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_12,axiom,
    ( lhs_atom19
    | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_13,axiom,
    ( lhs_atom18
    | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_14,axiom,
    ( lhs_atom17
    | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_15,axiom,
    ( lhs_atom16
    | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_16,axiom,
    ( lhs_atom15
    | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_17,axiom,
    ( lhs_atom14
    | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_18,axiom,
    ( lhs_atom13
    | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_19,axiom,
    ( lhs_atom12
    | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_20,axiom,
    ( lhs_atom11
    | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_21,axiom,
    ( lhs_atom10
    | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_22,axiom,
    ( lhs_atom9
    | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_23,axiom,
    ( lhs_atom8
    | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_24,axiom,
    ( lhs_atom7
    | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_25,axiom,
    ( lhs_atom6
    | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_26,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_27,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_28,axiom,
    ( lhs_atom3
    | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_29,axiom,
    ( lhs_atom2
    | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_30,axiom,
    ( lhs_atom1
    | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_31,plain,
    lhs_atom31,
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_32,plain,
    lhs_atom30,
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_33,plain,
    lhs_atom29,
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_34,plain,
    lhs_atom28,
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_35,plain,
    lhs_atom27,
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_36,plain,
    lhs_atom26,
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_37,plain,
    lhs_atom25,
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_38,plain,
    lhs_atom24,
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_39,plain,
    lhs_atom23,
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_40,plain,
    lhs_atom22,
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_41,plain,
    lhs_atom21,
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_42,plain,
    lhs_atom20,
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_43,plain,
    lhs_atom19,
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_44,plain,
    lhs_atom18,
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_45,plain,
    lhs_atom17,
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_46,plain,
    lhs_atom16,
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_47,plain,
    lhs_atom15,
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_48,plain,
    lhs_atom14,
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_49,plain,
    lhs_atom13,
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_50,plain,
    lhs_atom12,
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_51,plain,
    lhs_atom11,
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_52,plain,
    lhs_atom10,
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_53,plain,
    lhs_atom9,
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_54,plain,
    lhs_atom8,
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_55,plain,
    lhs_atom7,
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_56,plain,
    lhs_atom6,
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_57,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_58,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_59,plain,
    lhs_atom3,
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_60,plain,
    lhs_atom2,
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_61,plain,
    lhs_atom1,
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_62,plain,
    lhs_atom31,
    c_0_31 ).

fof(c_0_63,plain,
    lhs_atom30,
    c_0_32 ).

fof(c_0_64,plain,
    lhs_atom29,
    c_0_33 ).

fof(c_0_65,plain,
    lhs_atom28,
    c_0_34 ).

fof(c_0_66,plain,
    lhs_atom27,
    c_0_35 ).

fof(c_0_67,plain,
    lhs_atom26,
    c_0_36 ).

fof(c_0_68,plain,
    lhs_atom25,
    c_0_37 ).

fof(c_0_69,plain,
    lhs_atom24,
    c_0_38 ).

fof(c_0_70,plain,
    lhs_atom23,
    c_0_39 ).

fof(c_0_71,plain,
    lhs_atom22,
    c_0_40 ).

fof(c_0_72,plain,
    lhs_atom21,
    c_0_41 ).

fof(c_0_73,plain,
    lhs_atom20,
    c_0_42 ).

fof(c_0_74,plain,
    lhs_atom19,
    c_0_43 ).

fof(c_0_75,plain,
    lhs_atom18,
    c_0_44 ).

fof(c_0_76,plain,
    lhs_atom17,
    c_0_45 ).

fof(c_0_77,plain,
    lhs_atom16,
    c_0_46 ).

fof(c_0_78,plain,
    lhs_atom15,
    c_0_47 ).

fof(c_0_79,plain,
    lhs_atom14,
    c_0_48 ).

fof(c_0_80,plain,
    lhs_atom13,
    c_0_49 ).

fof(c_0_81,plain,
    lhs_atom12,
    c_0_50 ).

fof(c_0_82,plain,
    lhs_atom11,
    c_0_51 ).

fof(c_0_83,plain,
    lhs_atom10,
    c_0_52 ).

fof(c_0_84,plain,
    lhs_atom9,
    c_0_53 ).

fof(c_0_85,plain,
    lhs_atom8,
    c_0_54 ).

fof(c_0_86,plain,
    lhs_atom7,
    c_0_55 ).

fof(c_0_87,plain,
    lhs_atom6,
    c_0_56 ).

fof(c_0_88,plain,
    lhs_atom5,
    c_0_57 ).

fof(c_0_89,plain,
    lhs_atom4,
    c_0_58 ).

fof(c_0_90,plain,
    lhs_atom3,
    c_0_59 ).

fof(c_0_91,plain,
    lhs_atom2,
    c_0_60 ).

fof(c_0_92,plain,
    lhs_atom1,
    c_0_61 ).

cnf(c_0_93,plain,
    lhs_atom31,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_94,plain,
    lhs_atom30,
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_95,plain,
    lhs_atom29,
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_96,plain,
    lhs_atom28,
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_97,plain,
    lhs_atom27,
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_98,plain,
    lhs_atom26,
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_99,plain,
    lhs_atom25,
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_100,plain,
    lhs_atom24,
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_101,plain,
    lhs_atom23,
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_102,plain,
    lhs_atom22,
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_103,plain,
    lhs_atom21,
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_104,plain,
    lhs_atom20,
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_105,plain,
    lhs_atom19,
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_106,plain,
    lhs_atom18,
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_107,plain,
    lhs_atom17,
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_108,plain,
    lhs_atom16,
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_109,plain,
    lhs_atom15,
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_110,plain,
    lhs_atom14,
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_111,plain,
    lhs_atom13,
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_112,plain,
    lhs_atom12,
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_113,plain,
    lhs_atom11,
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_114,plain,
    lhs_atom10,
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_115,plain,
    lhs_atom9,
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_116,plain,
    lhs_atom8,
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_117,plain,
    lhs_atom7,
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_118,plain,
    lhs_atom6,
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_119,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_120,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_121,plain,
    lhs_atom3,
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_122,plain,
    lhs_atom2,
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_123,plain,
    lhs_atom1,
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_124,plain,
    lhs_atom31,
    c_0_93,
    [final] ).

cnf(c_0_125,plain,
    lhs_atom30,
    c_0_94,
    [final] ).

cnf(c_0_126,plain,
    lhs_atom29,
    c_0_95,
    [final] ).

cnf(c_0_127,plain,
    lhs_atom28,
    c_0_96,
    [final] ).

cnf(c_0_128,plain,
    lhs_atom27,
    c_0_97,
    [final] ).

cnf(c_0_129,plain,
    lhs_atom26,
    c_0_98,
    [final] ).

cnf(c_0_130,plain,
    lhs_atom25,
    c_0_99,
    [final] ).

cnf(c_0_131,plain,
    lhs_atom24,
    c_0_100,
    [final] ).

cnf(c_0_132,plain,
    lhs_atom23,
    c_0_101,
    [final] ).

cnf(c_0_133,plain,
    lhs_atom22,
    c_0_102,
    [final] ).

cnf(c_0_134,plain,
    lhs_atom21,
    c_0_103,
    [final] ).

cnf(c_0_135,plain,
    lhs_atom20,
    c_0_104,
    [final] ).

cnf(c_0_136,plain,
    lhs_atom19,
    c_0_105,
    [final] ).

cnf(c_0_137,plain,
    lhs_atom18,
    c_0_106,
    [final] ).

cnf(c_0_138,plain,
    lhs_atom17,
    c_0_107,
    [final] ).

cnf(c_0_139,plain,
    lhs_atom16,
    c_0_108,
    [final] ).

cnf(c_0_140,plain,
    lhs_atom15,
    c_0_109,
    [final] ).

cnf(c_0_141,plain,
    lhs_atom14,
    c_0_110,
    [final] ).

cnf(c_0_142,plain,
    lhs_atom13,
    c_0_111,
    [final] ).

cnf(c_0_143,plain,
    lhs_atom12,
    c_0_112,
    [final] ).

cnf(c_0_144,plain,
    lhs_atom11,
    c_0_113,
    [final] ).

cnf(c_0_145,plain,
    lhs_atom10,
    c_0_114,
    [final] ).

cnf(c_0_146,plain,
    lhs_atom9,
    c_0_115,
    [final] ).

cnf(c_0_147,plain,
    lhs_atom8,
    c_0_116,
    [final] ).

cnf(c_0_148,plain,
    lhs_atom7,
    c_0_117,
    [final] ).

cnf(c_0_149,plain,
    lhs_atom6,
    c_0_118,
    [final] ).

cnf(c_0_150,plain,
    lhs_atom5,
    c_0_119,
    [final] ).

cnf(c_0_151,plain,
    lhs_atom4,
    c_0_120,
    [final] ).

cnf(c_0_152,plain,
    lhs_atom3,
    c_0_121,
    [final] ).

cnf(c_0_153,plain,
    lhs_atom2,
    c_0_122,
    [final] ).

cnf(c_0_154,plain,
    lhs_atom1,
    c_0_123,
    [final] ).

% End CNF derivation
cnf(c_0_124_0,axiom,
    ~ equalish(e_4,e_3),
    inference(unfold_definition,[status(thm)],[c_0_124,def_lhs_atom31]) ).

cnf(c_0_125_0,axiom,
    ~ equalish(e_4,e_2),
    inference(unfold_definition,[status(thm)],[c_0_125,def_lhs_atom30]) ).

cnf(c_0_126_0,axiom,
    ~ equalish(e_4,e_1),
    inference(unfold_definition,[status(thm)],[c_0_126,def_lhs_atom29]) ).

cnf(c_0_127_0,axiom,
    ~ equalish(e_3,e_4),
    inference(unfold_definition,[status(thm)],[c_0_127,def_lhs_atom28]) ).

cnf(c_0_128_0,axiom,
    ~ equalish(e_3,e_2),
    inference(unfold_definition,[status(thm)],[c_0_128,def_lhs_atom27]) ).

cnf(c_0_129_0,axiom,
    ~ equalish(e_3,e_1),
    inference(unfold_definition,[status(thm)],[c_0_129,def_lhs_atom26]) ).

cnf(c_0_130_0,axiom,
    ~ equalish(e_2,e_4),
    inference(unfold_definition,[status(thm)],[c_0_130,def_lhs_atom25]) ).

cnf(c_0_131_0,axiom,
    ~ equalish(e_2,e_3),
    inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom24]) ).

cnf(c_0_132_0,axiom,
    ~ equalish(e_2,e_1),
    inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom23]) ).

cnf(c_0_133_0,axiom,
    ~ equalish(e_1,e_4),
    inference(unfold_definition,[status(thm)],[c_0_133,def_lhs_atom22]) ).

cnf(c_0_134_0,axiom,
    ~ equalish(e_1,e_3),
    inference(unfold_definition,[status(thm)],[c_0_134,def_lhs_atom21]) ).

cnf(c_0_135_0,axiom,
    ~ equalish(e_1,e_2),
    inference(unfold_definition,[status(thm)],[c_0_135,def_lhs_atom20]) ).

cnf(c_0_136_0,axiom,
    group_element(e_4),
    inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom19]) ).

cnf(c_0_137_0,axiom,
    group_element(e_3),
    inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom18]) ).

cnf(c_0_138_0,axiom,
    group_element(e_2),
    inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom17]) ).

cnf(c_0_139_0,axiom,
    group_element(e_1),
    inference(unfold_definition,[status(thm)],[c_0_139,def_lhs_atom16]) ).

cnf(c_0_140_0,axiom,
    cycle(e_4,e_0),
    inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom15]) ).

cnf(c_0_141_0,axiom,
    greater(e_4,e_3),
    inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom14]) ).

cnf(c_0_142_0,axiom,
    greater(e_4,e_2),
    inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom13]) ).

cnf(c_0_143_0,axiom,
    greater(e_3,e_2),
    inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom12]) ).

cnf(c_0_144_0,axiom,
    greater(e_4,e_1),
    inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom11]) ).

cnf(c_0_145_0,axiom,
    greater(e_3,e_1),
    inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom10]) ).

cnf(c_0_146_0,axiom,
    greater(e_2,e_1),
    inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom9]) ).

cnf(c_0_147_0,axiom,
    greater(e_4,e_0),
    inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom8]) ).

cnf(c_0_148_0,axiom,
    greater(e_3,e_0),
    inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom7]) ).

cnf(c_0_149_0,axiom,
    greater(e_2,e_0),
    inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom6]) ).

cnf(c_0_150_0,axiom,
    greater(e_1,e_0),
    inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom5]) ).

cnf(c_0_151_0,axiom,
    next(e_3,e_4),
    inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom4]) ).

cnf(c_0_152_0,axiom,
    next(e_2,e_3),
    inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom3]) ).

cnf(c_0_153_0,axiom,
    next(e_1,e_2),
    inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom2]) ).

cnf(c_0_154_0,axiom,
    next(e_0,e_1),
    inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X2,X3] :
      ( ~ group_element(X3)
      | ~ group_element(X2)
      | product(X3,X2,e_1)
      | product(X3,X2,e_2)
      | product(X3,X2,e_3)
      | product(X3,X2,e_4) ),
    file('<stdin>',product_total_function1) ).

fof(c_0_1_002,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X2,X4)
      | ~ product(X3,X2,X1)
      | equalish(X4,X1) ),
    file('<stdin>',product_total_function2) ).

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

fof(c_0_3_004,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ product(X4,X2,X3)
      | ~ product(X1,X2,X3)
      | equalish(X4,X1) ),
    file('<stdin>',product_left_cancellation) ).

fof(c_0_4_005,axiom,
    ! [X1,X2,X5,X3] :
      ( ~ cycle(X3,X2)
      | ~ product(X3,e_1,X1)
      | ~ greater(X2,e_0)
      | ~ next(X3,X5)
      | equalish(X1,X5) ),
    file('<stdin>',cycle7) ).

fof(c_0_5_006,axiom,
    ! [X6,X7,X2,X3,X4] :
      ( ~ cycle(X3,X7)
      | ~ cycle(X2,e_0)
      | ~ cycle(X4,X6)
      | ~ next(X2,X4)
      | ~ greater(X2,X3)
      | ~ greater(X7,X6) ),
    file('<stdin>',cycle5) ).

fof(c_0_6_007,axiom,
    ! [X2,X3] :
      ( ~ cycle(X3,e_0)
      | ~ product(X3,e_1,X2)
      | ~ greater(X2,X3) ),
    file('<stdin>',cycle6) ).

fof(c_0_7_008,axiom,
    ! [X7,X1,X2,X3,X4] :
      ( ~ cycle(X3,X2)
      | ~ cycle(X4,X1)
      | ~ next(X3,X4)
      | ~ greater(X2,e_0)
      | ~ next(X1,X7)
      | equalish(X2,X7) ),
    file('<stdin>',cycle4) ).

fof(c_0_8_009,axiom,
    ! [X1,X2,X3] :
      ( ~ cycle(X3,X2)
      | ~ cycle(X3,X1)
      | equalish(X2,X1) ),
    file('<stdin>',cycle1) ).

fof(c_0_9_010,axiom,
    ! [X3] :
      ( ~ group_element(X3)
      | cycle(X3,e_0)
      | cycle(X3,e_1)
      | cycle(X3,e_2)
      | cycle(X3,e_3) ),
    file('<stdin>',cycle2) ).

fof(c_0_10_011,plain,
    ! [X2,X3] :
      ( ~ group_element(X3)
      | ~ group_element(X2)
      | product(X3,X2,e_1)
      | product(X3,X2,e_2)
      | product(X3,X2,e_3)
      | product(X3,X2,e_4) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_11_012,plain,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X2,X4)
      | ~ product(X3,X2,X1)
      | equalish(X4,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_12_013,plain,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X4,X2)
      | ~ product(X3,X1,X2)
      | equalish(X4,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_13_014,plain,
    ! [X1,X2,X3,X4] :
      ( ~ product(X4,X2,X3)
      | ~ product(X1,X2,X3)
      | equalish(X4,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_14_015,plain,
    ! [X1,X2,X5,X3] :
      ( ~ cycle(X3,X2)
      | ~ product(X3,e_1,X1)
      | ~ greater(X2,e_0)
      | ~ next(X3,X5)
      | equalish(X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_15_016,plain,
    ! [X6,X7,X2,X3,X4] :
      ( ~ cycle(X3,X7)
      | ~ cycle(X2,e_0)
      | ~ cycle(X4,X6)
      | ~ next(X2,X4)
      | ~ greater(X2,X3)
      | ~ greater(X7,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_16_017,plain,
    ! [X2,X3] :
      ( ~ cycle(X3,e_0)
      | ~ product(X3,e_1,X2)
      | ~ greater(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_17_018,plain,
    ! [X7,X1,X2,X3,X4] :
      ( ~ cycle(X3,X2)
      | ~ cycle(X4,X1)
      | ~ next(X3,X4)
      | ~ greater(X2,e_0)
      | ~ next(X1,X7)
      | equalish(X2,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_18_019,plain,
    ! [X1,X2,X3] :
      ( ~ cycle(X3,X2)
      | ~ cycle(X3,X1)
      | equalish(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_19_020,plain,
    ! [X3] :
      ( ~ group_element(X3)
      | cycle(X3,e_0)
      | cycle(X3,e_1)
      | cycle(X3,e_2)
      | cycle(X3,e_3) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_20_021,plain,
    ! [X4,X5] :
      ( ~ group_element(X5)
      | ~ group_element(X4)
      | product(X5,X4,e_1)
      | product(X5,X4,e_2)
      | product(X5,X4,e_3)
      | product(X5,X4,e_4) ),
    inference(variable_rename,[status(thm)],[c_0_10]) ).

fof(c_0_21_022,plain,
    ! [X5,X6,X7,X8] :
      ( ~ product(X7,X6,X8)
      | ~ product(X7,X6,X5)
      | equalish(X8,X5) ),
    inference(variable_rename,[status(thm)],[c_0_11]) ).

fof(c_0_22_023,plain,
    ! [X5,X6,X7,X8] :
      ( ~ product(X7,X8,X6)
      | ~ product(X7,X5,X6)
      | equalish(X8,X5) ),
    inference(variable_rename,[status(thm)],[c_0_12]) ).

fof(c_0_23_024,plain,
    ! [X5,X6,X7,X8] :
      ( ~ product(X8,X6,X7)
      | ~ product(X5,X6,X7)
      | equalish(X8,X5) ),
    inference(variable_rename,[status(thm)],[c_0_13]) ).

fof(c_0_24_025,plain,
    ! [X6,X7,X8,X9] :
      ( ~ cycle(X9,X7)
      | ~ product(X9,e_1,X6)
      | ~ greater(X7,e_0)
      | ~ next(X9,X8)
      | equalish(X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_14]) ).

fof(c_0_25_026,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ cycle(X11,X9)
      | ~ cycle(X10,e_0)
      | ~ cycle(X12,X8)
      | ~ next(X10,X12)
      | ~ greater(X10,X11)
      | ~ greater(X9,X8) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_15])])]) ).

fof(c_0_26_027,plain,
    ! [X4,X5] :
      ( ~ cycle(X5,e_0)
      | ~ product(X5,e_1,X4)
      | ~ greater(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_16]) ).

fof(c_0_27_028,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ cycle(X11,X10)
      | ~ cycle(X12,X9)
      | ~ next(X11,X12)
      | ~ greater(X10,e_0)
      | ~ next(X9,X8)
      | equalish(X10,X8) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_17])])]) ).

fof(c_0_28_029,plain,
    ! [X4,X5,X6] :
      ( ~ cycle(X6,X5)
      | ~ cycle(X6,X4)
      | equalish(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_18]) ).

fof(c_0_29_030,plain,
    ! [X4] :
      ( ~ group_element(X4)
      | cycle(X4,e_0)
      | cycle(X4,e_1)
      | cycle(X4,e_2)
      | cycle(X4,e_3) ),
    inference(variable_rename,[status(thm)],[c_0_19]) ).

cnf(c_0_30_031,plain,
    ( product(X1,X2,e_4)
    | product(X1,X2,e_3)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31_032,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32_033,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X2,X4)
    | ~ product(X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33_034,plain,
    ( equalish(X1,X2)
    | ~ product(X2,X3,X4)
    | ~ product(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34_035,plain,
    ( equalish(X1,X2)
    | ~ next(X3,X2)
    | ~ greater(X4,e_0)
    | ~ product(X3,e_1,X1)
    | ~ cycle(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35_036,plain,
    ( ~ greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ next(X3,X5)
    | ~ cycle(X5,X2)
    | ~ cycle(X3,e_0)
    | ~ cycle(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36_037,plain,
    ( ~ greater(X1,X2)
    | ~ product(X2,e_1,X1)
    | ~ cycle(X2,e_0) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37_038,plain,
    ( equalish(X1,X2)
    | ~ next(X3,X2)
    | ~ greater(X1,e_0)
    | ~ next(X4,X5)
    | ~ cycle(X5,X3)
    | ~ cycle(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38_039,plain,
    ( equalish(X1,X2)
    | ~ cycle(X3,X2)
    | ~ cycle(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_39_040,plain,
    ( cycle(X1,e_3)
    | cycle(X1,e_2)
    | cycle(X1,e_1)
    | cycle(X1,e_0)
    | ~ group_element(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_40_041,plain,
    ( product(X1,X2,e_4)
    | product(X1,X2,e_3)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    c_0_30,
    [final] ).

cnf(c_0_41_042,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    c_0_31,
    [final] ).

cnf(c_0_42_043,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X2,X4)
    | ~ product(X3,X1,X4) ),
    c_0_32,
    [final] ).

cnf(c_0_43_044,plain,
    ( equalish(X1,X2)
    | ~ product(X2,X3,X4)
    | ~ product(X1,X3,X4) ),
    c_0_33,
    [final] ).

cnf(c_0_44_045,plain,
    ( equalish(X1,X2)
    | ~ next(X3,X2)
    | ~ greater(X4,e_0)
    | ~ product(X3,e_1,X1)
    | ~ cycle(X3,X4) ),
    c_0_34,
    [final] ).

cnf(c_0_45_046,plain,
    ( ~ greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ next(X3,X5)
    | ~ cycle(X5,X2)
    | ~ cycle(X3,e_0)
    | ~ cycle(X4,X1) ),
    c_0_35,
    [final] ).

cnf(c_0_46_047,plain,
    ( ~ greater(X1,X2)
    | ~ product(X2,e_1,X1)
    | ~ cycle(X2,e_0) ),
    c_0_36,
    [final] ).

cnf(c_0_47_048,plain,
    ( equalish(X1,X2)
    | ~ next(X3,X2)
    | ~ greater(X1,e_0)
    | ~ next(X4,X5)
    | ~ cycle(X5,X3)
    | ~ cycle(X4,X1) ),
    c_0_37,
    [final] ).

cnf(c_0_48_049,plain,
    ( equalish(X1,X2)
    | ~ cycle(X3,X2)
    | ~ cycle(X3,X1) ),
    c_0_38,
    [final] ).

cnf(c_0_49_050,plain,
    ( cycle(X1,e_3)
    | cycle(X1,e_2)
    | cycle(X1,e_1)
    | cycle(X1,e_0)
    | ~ group_element(X1) ),
    c_0_39,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_40_0,axiom,
    ( product(X1,X2,e_4)
    | product(X1,X2,e_3)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_1,axiom,
    ( product(X1,X2,e_3)
    | product(X1,X2,e_4)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_2,axiom,
    ( product(X1,X2,e_2)
    | product(X1,X2,e_3)
    | product(X1,X2,e_4)
    | product(X1,X2,e_1)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_3,axiom,
    ( product(X1,X2,e_1)
    | product(X1,X2,e_2)
    | product(X1,X2,e_3)
    | product(X1,X2,e_4)
    | ~ group_element(X2)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_4,axiom,
    ( ~ group_element(X2)
    | product(X1,X2,e_1)
    | product(X1,X2,e_2)
    | product(X1,X2,e_3)
    | product(X1,X2,e_4)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_5,axiom,
    ( ~ group_element(X1)
    | ~ group_element(X2)
    | product(X1,X2,e_1)
    | product(X1,X2,e_2)
    | product(X1,X2,e_3)
    | product(X1,X2,e_4) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_41_0,axiom,
    ( equalish(X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_1,axiom,
    ( ~ product(X3,X4,X2)
    | equalish(X1,X2)
    | ~ product(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_2,axiom,
    ( ~ product(X3,X4,X1)
    | ~ product(X3,X4,X2)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_42_0,axiom,
    ( equalish(X1,X2)
    | ~ product(X3,X2,X4)
    | ~ product(X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_42_1,axiom,
    ( ~ product(X3,X2,X4)
    | equalish(X1,X2)
    | ~ product(X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_42_2,axiom,
    ( ~ product(X3,X1,X4)
    | ~ product(X3,X2,X4)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_43_0,axiom,
    ( equalish(X1,X2)
    | ~ product(X2,X3,X4)
    | ~ product(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_43_1,axiom,
    ( ~ product(X2,X3,X4)
    | equalish(X1,X2)
    | ~ product(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_43_2,axiom,
    ( ~ product(X1,X3,X4)
    | ~ product(X2,X3,X4)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_44_0,axiom,
    ( equalish(X1,X2)
    | ~ next(X3,X2)
    | ~ greater(X4,e_0)
    | ~ product(X3,e_1,X1)
    | ~ cycle(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_44_1,axiom,
    ( ~ next(X3,X2)
    | equalish(X1,X2)
    | ~ greater(X4,e_0)
    | ~ product(X3,e_1,X1)
    | ~ cycle(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_44_2,axiom,
    ( ~ greater(X4,e_0)
    | ~ next(X3,X2)
    | equalish(X1,X2)
    | ~ product(X3,e_1,X1)
    | ~ cycle(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_44_3,axiom,
    ( ~ product(X3,e_1,X1)
    | ~ greater(X4,e_0)
    | ~ next(X3,X2)
    | equalish(X1,X2)
    | ~ cycle(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_44_4,axiom,
    ( ~ cycle(X3,X4)
    | ~ product(X3,e_1,X1)
    | ~ greater(X4,e_0)
    | ~ next(X3,X2)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_45_0,axiom,
    ( ~ greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ next(X3,X5)
    | ~ cycle(X5,X2)
    | ~ cycle(X3,e_0)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_1,axiom,
    ( ~ greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ next(X3,X5)
    | ~ cycle(X5,X2)
    | ~ cycle(X3,e_0)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_2,axiom,
    ( ~ next(X3,X5)
    | ~ greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ cycle(X5,X2)
    | ~ cycle(X3,e_0)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_3,axiom,
    ( ~ cycle(X5,X2)
    | ~ next(X3,X5)
    | ~ greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ cycle(X3,e_0)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_4,axiom,
    ( ~ cycle(X3,e_0)
    | ~ cycle(X5,X2)
    | ~ next(X3,X5)
    | ~ greater(X3,X4)
    | ~ greater(X1,X2)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_5,axiom,
    ( ~ cycle(X4,X1)
    | ~ cycle(X3,e_0)
    | ~ cycle(X5,X2)
    | ~ next(X3,X5)
    | ~ greater(X3,X4)
    | ~ greater(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_46_0,axiom,
    ( ~ greater(X1,X2)
    | ~ product(X2,e_1,X1)
    | ~ cycle(X2,e_0) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_1,axiom,
    ( ~ product(X2,e_1,X1)
    | ~ greater(X1,X2)
    | ~ cycle(X2,e_0) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_2,axiom,
    ( ~ cycle(X2,e_0)
    | ~ product(X2,e_1,X1)
    | ~ greater(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_47_0,axiom,
    ( equalish(X1,X2)
    | ~ next(X3,X2)
    | ~ greater(X1,e_0)
    | ~ next(X4,X5)
    | ~ cycle(X5,X3)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_1,axiom,
    ( ~ next(X3,X2)
    | equalish(X1,X2)
    | ~ greater(X1,e_0)
    | ~ next(X4,X5)
    | ~ cycle(X5,X3)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_2,axiom,
    ( ~ greater(X1,e_0)
    | ~ next(X3,X2)
    | equalish(X1,X2)
    | ~ next(X4,X5)
    | ~ cycle(X5,X3)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_3,axiom,
    ( ~ next(X4,X5)
    | ~ greater(X1,e_0)
    | ~ next(X3,X2)
    | equalish(X1,X2)
    | ~ cycle(X5,X3)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_4,axiom,
    ( ~ cycle(X5,X3)
    | ~ next(X4,X5)
    | ~ greater(X1,e_0)
    | ~ next(X3,X2)
    | equalish(X1,X2)
    | ~ cycle(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_5,axiom,
    ( ~ cycle(X4,X1)
    | ~ cycle(X5,X3)
    | ~ next(X4,X5)
    | ~ greater(X1,e_0)
    | ~ next(X3,X2)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_48_0,axiom,
    ( equalish(X1,X2)
    | ~ cycle(X3,X2)
    | ~ cycle(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_1,axiom,
    ( ~ cycle(X3,X2)
    | equalish(X1,X2)
    | ~ cycle(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_2,axiom,
    ( ~ cycle(X3,X1)
    | ~ cycle(X3,X2)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_49_0,axiom,
    ( cycle(X1,e_3)
    | cycle(X1,e_2)
    | cycle(X1,e_1)
    | cycle(X1,e_0)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_1,axiom,
    ( cycle(X1,e_2)
    | cycle(X1,e_3)
    | cycle(X1,e_1)
    | cycle(X1,e_0)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_2,axiom,
    ( cycle(X1,e_1)
    | cycle(X1,e_2)
    | cycle(X1,e_3)
    | cycle(X1,e_0)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_3,axiom,
    ( cycle(X1,e_0)
    | cycle(X1,e_1)
    | cycle(X1,e_2)
    | cycle(X1,e_3)
    | ~ group_element(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_4,axiom,
    ( ~ group_element(X1)
    | cycle(X1,e_0)
    | cycle(X1,e_1)
    | cycle(X1,e_2)
    | cycle(X1,e_3) ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_051,negated_conjecture,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X4,X2)
      | ~ product(X4,X2,X1)
      | product(X2,X3,X1) ),
    file('<stdin>',qg3) ).

fof(c_0_1_052,negated_conjecture,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X4,X2)
      | ~ product(X4,X2,X1)
      | product(X2,X3,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2_053,negated_conjecture,
    ! [X5,X6,X7,X8] :
      ( ~ product(X7,X8,X6)
      | ~ product(X8,X6,X5)
      | product(X6,X7,X5) ),
    inference(variable_rename,[status(thm)],[c_0_1]) ).

cnf(c_0_3_054,negated_conjecture,
    ( product(X1,X2,X3)
    | ~ product(X4,X1,X3)
    | ~ product(X2,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_055,negated_conjecture,
    ( product(X1,X2,X3)
    | ~ product(X4,X1,X3)
    | ~ product(X2,X4,X1) ),
    c_0_3,
    [final] ).

% End CNF derivation

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

cnf(c_5,plain,
    ( product(X0,X1,e_4)
    | product(X0,X1,e_3)
    | product(X0,X1,e_2)
    | product(X0,X1,e_1)
    | ~ group_element(X1)
    | ~ group_element(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_40_5) ).

cnf(c_93,plain,
    ( product(X0,X1,e_4)
    | product(X0,X1,e_3)
    | product(X0,X1,e_2)
    | product(X0,X1,e_1)
    | ~ group_element(X1)
    | ~ group_element(X0) ),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_92810,plain,
    ( product(e_4,X0,e_4)
    | product(e_4,X0,e_3)
    | product(e_4,X0,e_2)
    | product(e_4,X0,e_1)
    | ~ group_element(e_4)
    | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_326019,plain,
    ( product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | ~ group_element(e_4) ),
    inference(instantiation,[status(thm)],[c_92810]) ).

cnf(c_92799,plain,
    ( product(X0,e_3,e_4)
    | product(X0,e_3,e_3)
    | product(X0,e_3,e_2)
    | product(X0,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_326007,plain,
    ( product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | ~ group_element(e_4)
    | ~ group_element(e_3) ),
    inference(instantiation,[status(thm)],[c_92799]) ).

cnf(c_7,plain,
    ( ~ product(X0,X1,X2)
    | equalish(X2,X3)
    | ~ product(X0,X1,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_41_1) ).

cnf(c_95,plain,
    ( ~ product(X0,X1,X2)
    | equalish(X2,X3)
    | ~ product(X0,X1,X3) ),
    inference(copy,[status(esa)],[c_7]) ).

cnf(c_92590,plain,
    ( ~ product(X0,X1,e_3)
    | ~ product(X0,X1,e_1)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_325911,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ product(e_1,e_3,e_1)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92590]) ).

cnf(c_74,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X2,X3)
    | product(X2,X0,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_4) ).

cnf(c_81,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X2,X3)
    | product(X2,X0,X3) ),
    inference(copy,[status(esa)],[c_74]) ).

cnf(c_85,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X2,X3)
    | product(X2,X0,X3) ),
    inference(copy,[status(esa)],[c_81]) ).

cnf(c_86,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X2,X3)
    | product(X2,X0,X3) ),
    inference(copy,[status(esa)],[c_85]) ).

cnf(c_87,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X2,X3)
    | product(X2,X0,X3) ),
    inference(copy,[status(esa)],[c_86]) ).

cnf(c_162,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X2,X3)
    | product(X2,X0,X3) ),
    inference(copy,[status(esa)],[c_87]) ).

cnf(c_92775,plain,
    ( product(e_2,X0,X1)
    | ~ product(X2,e_2,X1)
    | ~ product(X0,X2,e_2) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_184447,plain,
    ( ~ product(e_3,e_2,X0)
    | product(e_2,X1,X0)
    | ~ product(X1,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92775]) ).

cnf(c_325887,plain,
    ( ~ product(e_3,e_2,e_2)
    | product(e_2,X0,e_2)
    | ~ product(X0,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_184447]) ).

cnf(c_325888,plain,
    ( ~ product(e_3,e_2,e_2)
    | product(e_2,e_1,e_2)
    | ~ product(e_1,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_325887]) ).

cnf(c_14,plain,
    ( equalish(X0,X1)
    | ~ product(X1,X2,X3)
    | ~ product(X0,X2,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_43_2) ).

cnf(c_102,plain,
    ( equalish(X0,X1)
    | ~ product(X1,X2,X3)
    | ~ product(X0,X2,X3) ),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_92739,plain,
    ( ~ product(e_4,X0,X1)
    | ~ product(e_1,X0,X1)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_184347,plain,
    ( ~ product(e_4,X0,e_4)
    | ~ product(e_1,X0,e_4)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92739]) ).

cnf(c_325719,plain,
    ( ~ product(e_4,e_3,e_4)
    | ~ product(e_1,e_3,e_4)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_184347]) ).

cnf(c_325718,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ product(e_1,e_4,e_4)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_184347]) ).

cnf(c_92848,plain,
    ( ~ product(e_4,X0,X1)
    | ~ product(e_3,X0,X1)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_184345,plain,
    ( ~ product(e_4,X0,e_4)
    | ~ product(e_3,X0,e_4)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_92848]) ).

cnf(c_325714,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ product(e_3,e_4,e_4)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_184345]) ).

cnf(c_92827,plain,
    ( ~ product(e_4,X0,X1)
    | product(X1,e_4,X2)
    | ~ product(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_93036,plain,
    ( ~ product(e_4,X0,e_2)
    | product(e_2,e_4,X1)
    | ~ product(X0,e_2,X1) ),
    inference(instantiation,[status(thm)],[c_92827]) ).

cnf(c_325678,plain,
    ( ~ product(e_4,e_3,e_2)
    | ~ product(e_3,e_2,e_4)
    | product(e_2,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93036]) ).

cnf(c_92757,plain,
    ( ~ product(e_4,X0,X1)
    | ~ product(e_2,X0,X1)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_325632,plain,
    ( ~ product(e_4,X0,e_2)
    | ~ product(e_2,X0,e_2)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_92757]) ).

cnf(c_325647,plain,
    ( ~ product(e_4,e_1,e_2)
    | ~ product(e_2,e_1,e_2)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_325632]) ).

cnf(c_92721,plain,
    ( ~ product(e_4,X0,X1)
    | ~ product(e_3,X0,X1)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_325634,plain,
    ( ~ product(e_4,X0,e_2)
    | ~ product(e_3,X0,e_2)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92721]) ).

cnf(c_325645,plain,
    ( ~ product(e_4,e_1,e_2)
    | ~ product(e_3,e_1,e_2)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_325634]) ).

cnf(c_92667,plain,
    ( ~ product(e_4,X0,X1)
    | ~ product(e_2,X0,X1)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_325635,plain,
    ( ~ product(e_4,X0,e_2)
    | ~ product(e_2,X0,e_2)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92667]) ).

cnf(c_325644,plain,
    ( ~ product(e_4,e_1,e_2)
    | ~ product(e_2,e_1,e_2)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_325635]) ).

cnf(c_93018,plain,
    ( ~ product(e_4,X0,X1)
    | product(X1,e_4,e_3)
    | ~ product(X0,X1,e_3) ),
    inference(instantiation,[status(thm)],[c_92827]) ).

cnf(c_325637,plain,
    ( ~ product(e_4,X0,e_2)
    | product(e_2,e_4,e_3)
    | ~ product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93018]) ).

cnf(c_325643,plain,
    ( ~ product(e_4,e_1,e_2)
    | product(e_2,e_4,e_3)
    | ~ product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_325637]) ).

cnf(c_92808,plain,
    ( ~ product(X0,X1,e_4)
    | product(X1,X2,e_4)
    | ~ product(X2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_92972,plain,
    ( ~ product(e_4,X0,X1)
    | product(X1,e_4,e_4)
    | ~ product(X0,X1,e_4) ),
    inference(instantiation,[status(thm)],[c_92808]) ).

cnf(c_325638,plain,
    ( ~ product(e_4,X0,e_2)
    | product(e_2,e_4,e_4)
    | ~ product(X0,e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92972]) ).

cnf(c_325642,plain,
    ( ~ product(e_4,e_1,e_2)
    | product(e_2,e_4,e_4)
    | ~ product(e_1,e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_325638]) ).

cnf(c_92613,plain,
    ( ~ product(e_4,X0,X1)
    | ~ product(e_1,X0,X1)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_325640,plain,
    ( ~ product(e_4,X0,e_2)
    | ~ product(e_1,X0,e_2)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92613]) ).

cnf(c_325641,plain,
    ( ~ product(e_4,e_1,e_2)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_325640]) ).

cnf(c_11,plain,
    ( equalish(X0,X1)
    | ~ product(X2,X1,X3)
    | ~ product(X2,X0,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_42_2) ).

cnf(c_99,plain,
    ( equalish(X0,X1)
    | ~ product(X2,X1,X3)
    | ~ product(X2,X0,X3) ),
    inference(copy,[status(esa)],[c_11]) ).

cnf(c_92632,plain,
    ( ~ product(X0,e_2,X1)
    | ~ product(X0,e_1,X1)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_92949,plain,
    ( ~ product(e_4,e_2,X0)
    | ~ product(e_4,e_1,X0)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92632]) ).

cnf(c_325626,plain,
    ( ~ product(e_4,e_2,e_2)
    | ~ product(e_4,e_1,e_2)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92949]) ).

cnf(c_93560,plain,
    ( ~ product(e_4,X0,e_3)
    | ~ product(e_3,X0,e_3)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_92848]) ).

cnf(c_325615,plain,
    ( ~ product(e_4,e_2,e_3)
    | ~ product(e_3,e_2,e_3)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_93560]) ).

cnf(c_92716,plain,
    ( ~ product(X0,X1,e_4)
    | ~ product(X0,X1,e_3)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_93511,plain,
    ( ~ product(X0,e_2,e_4)
    | ~ product(X0,e_2,e_3)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92716]) ).

cnf(c_325599,plain,
    ( ~ product(e_3,e_2,e_4)
    | ~ product(e_3,e_2,e_3)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_93511]) ).

cnf(c_93465,plain,
    ( ~ product(e_4,X0,e_3)
    | ~ product(e_2,X0,e_3)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92667]) ).

cnf(c_325589,plain,
    ( ~ product(e_4,e_3,e_3)
    | ~ product(e_2,e_3,e_3)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93465]) ).

cnf(c_92817,plain,
    ( product(e_4,X0,X1)
    | ~ product(X2,e_4,X1)
    | ~ product(X0,X2,e_4) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_92954,plain,
    ( product(e_4,e_3,X0)
    | ~ product(e_3,X1,e_4)
    | ~ product(X1,e_4,X0) ),
    inference(instantiation,[status(thm)],[c_92817]) ).

cnf(c_93389,plain,
    ( product(e_4,e_3,X0)
    | ~ product(e_3,e_2,e_4)
    | ~ product(e_2,e_4,X0) ),
    inference(instantiation,[status(thm)],[c_92954]) ).

cnf(c_325536,plain,
    ( product(e_4,e_3,e_2)
    | ~ product(e_3,e_2,e_4)
    | ~ product(e_2,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93389]) ).

cnf(c_93000,plain,
    ( ~ product(e_2,X0,X1)
    | product(X1,e_2,e_4)
    | ~ product(X0,X1,e_4) ),
    inference(instantiation,[status(thm)],[c_92808]) ).

cnf(c_93371,plain,
    ( product(e_2,e_2,e_4)
    | ~ product(e_2,X0,e_2)
    | ~ product(X0,e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93000]) ).

cnf(c_325532,plain,
    ( ~ product(e_3,e_2,e_4)
    | ~ product(e_2,e_3,e_2)
    | product(e_2,e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93371]) ).

cnf(c_92806,plain,
    ( ~ product(e_3,X0,X1)
    | product(X1,e_3,X2)
    | ~ product(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_93045,plain,
    ( ~ product(e_4,X0,X1)
    | ~ product(e_3,e_4,X0)
    | product(X0,e_3,X1) ),
    inference(instantiation,[status(thm)],[c_92806]) ).

cnf(c_185304,plain,
    ( ~ product(e_4,e_2,e_2)
    | ~ product(e_3,e_4,e_2)
    | product(e_2,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_93045]) ).

cnf(c_93120,plain,
    ( ~ product(e_4,X0,X1)
    | ~ product(X2,e_4,X0)
    | product(X0,X2,X1) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_185072,plain,
    ( ~ product(e_4,e_2,e_2)
    | product(e_2,X0,e_2)
    | ~ product(X0,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93120]) ).

cnf(c_185075,plain,
    ( ~ product(e_4,e_2,e_2)
    | product(e_2,e_1,e_2)
    | ~ product(e_1,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_185072]) ).

cnf(c_92766,plain,
    ( ~ product(X0,X1,e_2)
    | product(X1,X2,e_2)
    | ~ product(X2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_93777,plain,
    ( ~ product(e_2,X0,X1)
    | product(X1,e_2,e_2)
    | ~ product(X0,X1,e_2) ),
    inference(instantiation,[status(thm)],[c_92766]) ).

cnf(c_185060,plain,
    ( product(e_4,e_2,e_2)
    | ~ product(e_2,X0,e_4)
    | ~ product(X0,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93777]) ).

cnf(c_185074,plain,
    ( product(e_4,e_2,e_2)
    | ~ product(e_2,e_1,e_4)
    | ~ product(e_1,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_185060]) ).

cnf(c_92796,plain,
    ( product(e_3,X0,X1)
    | ~ product(X2,e_3,X1)
    | ~ product(X0,X2,e_3) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_185031,plain,
    ( product(e_3,X0,X1)
    | ~ product(e_2,e_3,X1)
    | ~ product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92796]) ).

cnf(c_185032,plain,
    ( product(e_3,e_1,e_1)
    | ~ product(e_2,e_3,e_1)
    | ~ product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_185031]) ).

cnf(c_92722,plain,
    ( ~ product(X0,e_4,X1)
    | ~ product(X0,e_3,X1)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_185018,plain,
    ( ~ product(e_2,e_4,X0)
    | ~ product(e_2,e_3,X0)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92722]) ).

cnf(c_185029,plain,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_2,e_3,e_1)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_185018]) ).

cnf(c_92785,plain,
    ( ~ product(e_2,X0,X1)
    | product(X1,e_2,X2)
    | ~ product(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_92968,plain,
    ( ~ product(e_2,X0,e_1)
    | product(e_1,e_2,X1)
    | ~ product(X0,e_1,X1) ),
    inference(instantiation,[status(thm)],[c_92785]) ).

cnf(c_185003,plain,
    ( ~ product(e_3,e_1,X0)
    | ~ product(e_2,e_3,e_1)
    | product(e_1,e_2,X0) ),
    inference(instantiation,[status(thm)],[c_92968]) ).

cnf(c_185007,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_2,e_3,e_1)
    | product(e_1,e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_185003]) ).

cnf(c_92833,plain,
    ( ~ product(e_4,X0,e_1)
    | ~ product(e_2,X0,e_1)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92667]) ).

cnf(c_185004,plain,
    ( ~ product(e_4,e_3,e_1)
    | ~ product(e_2,e_3,e_1)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92833]) ).

cnf(c_184970,plain,
    ( product(e_3,X0,e_2)
    | ~ product(e_2,e_3,e_2)
    | ~ product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92796]) ).

cnf(c_184972,plain,
    ( product(e_3,e_1,e_2)
    | ~ product(e_2,e_3,e_2)
    | ~ product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_184970]) ).

cnf(c_93754,plain,
    ( product(e_2,X0,e_2)
    | ~ product(X1,e_2,e_2)
    | ~ product(X0,X1,e_2) ),
    inference(instantiation,[status(thm)],[c_92766]) ).

cnf(c_184969,plain,
    ( ~ product(e_3,X0,e_2)
    | product(e_2,e_3,e_2)
    | ~ product(X0,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_93754]) ).

cnf(c_184971,plain,
    ( ~ product(e_3,e_1,e_2)
    | product(e_2,e_3,e_2)
    | ~ product(e_1,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_184969]) ).

cnf(c_184965,plain,
    ( product(e_2,e_2,e_2)
    | ~ product(e_2,X0,e_2)
    | ~ product(X0,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_93754]) ).

cnf(c_184967,plain,
    ( product(e_2,e_2,e_2)
    | ~ product(e_2,e_1,e_2)
    | ~ product(e_1,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_184965]) ).

cnf(c_93780,plain,
    ( ~ product(X0,e_2,e_2)
    | ~ product(X0,e_1,e_2)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92632]) ).

cnf(c_184946,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_1,e_2)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_93780]) ).

cnf(c_184930,plain,
    ( ~ product(e_4,X0,e_2)
    | product(e_2,e_4,e_2)
    | ~ product(X0,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_93754]) ).

cnf(c_184942,plain,
    ( ~ product(e_4,e_1,e_2)
    | product(e_2,e_4,e_2)
    | ~ product(e_1,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_184930]) ).

cnf(c_184928,plain,
    ( ~ product(e_2,X0,e_2)
    | ~ product(X1,e_2,X0)
    | product(X0,X1,e_2) ),
    inference(instantiation,[status(thm)],[c_92766]) ).

cnf(c_184929,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_184928]) ).

cnf(c_93037,plain,
    ( ~ product(e_4,X0,X1)
    | ~ product(e_2,e_4,X0)
    | product(X0,e_2,X1) ),
    inference(instantiation,[status(thm)],[c_92785]) ).

cnf(c_184890,plain,
    ( ~ product(e_4,e_2,e_3)
    | ~ product(e_2,e_4,e_2)
    | product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93037]) ).

cnf(c_92703,plain,
    ( ~ product(e_3,X0,X1)
    | ~ product(e_2,X0,X1)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_92991,plain,
    ( ~ product(e_3,X0,e_4)
    | ~ product(e_2,X0,e_4)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92703]) ).

cnf(c_184777,plain,
    ( ~ product(e_3,e_4,e_4)
    | ~ product(e_2,e_4,e_4)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92991]) ).

cnf(c_92668,plain,
    ( ~ product(X0,e_4,X1)
    | ~ product(X0,e_2,X1)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_92975,plain,
    ( ~ product(X0,e_4,e_4)
    | ~ product(X0,e_2,e_4)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92668]) ).

cnf(c_184765,plain,
    ( ~ product(e_3,e_4,e_4)
    | ~ product(e_3,e_2,e_4)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92975]) ).

cnf(c_93856,plain,
    ( product(e_3,X0,e_4)
    | ~ product(e_2,e_3,e_4)
    | ~ product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92796]) ).

cnf(c_184763,plain,
    ( product(e_3,e_2,e_4)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93856]) ).

cnf(c_92740,plain,
    ( ~ product(X0,e_4,X1)
    | ~ product(X0,e_1,X1)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_92973,plain,
    ( ~ product(X0,e_4,e_4)
    | ~ product(X0,e_1,e_4)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92740]) ).

cnf(c_184751,plain,
    ( ~ product(e_3,e_4,e_4)
    | ~ product(e_3,e_1,e_4)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92973]) ).

cnf(c_93001,plain,
    ( ~ product(X0,e_2,e_4)
    | ~ product(X0,e_1,e_4)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92632]) ).

cnf(c_184754,plain,
    ( ~ product(e_3,e_2,e_4)
    | ~ product(e_3,e_1,e_4)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_93001]) ).

cnf(c_92734,plain,
    ( ~ product(X0,X1,e_4)
    | ~ product(X0,X1,e_1)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_184738,plain,
    ( ~ product(e_3,X0,e_4)
    | ~ product(e_3,X0,e_1)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92734]) ).

cnf(c_184745,plain,
    ( ~ product(e_3,e_1,e_4)
    | ~ product(e_3,e_1,e_1)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_184738]) ).

cnf(c_184741,plain,
    ( ~ product(e_3,X0,e_4)
    | ~ product(X1,e_3,X0)
    | product(X0,X1,e_4) ),
    inference(instantiation,[status(thm)],[c_92808]) ).

cnf(c_184742,plain,
    ( ~ product(e_3,e_1,e_4)
    | ~ product(e_1,e_3,e_1)
    | product(e_1,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_184741]) ).

cnf(c_92849,plain,
    ( ~ product(X0,e_4,X1)
    | ~ product(X0,e_3,X1)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_93788,plain,
    ( ~ product(X0,e_4,e_2)
    | ~ product(X0,e_3,e_2)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_92849]) ).

cnf(c_184730,plain,
    ( ~ product(e_2,e_4,e_2)
    | ~ product(e_2,e_3,e_2)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_93788]) ).

cnf(c_93194,plain,
    ( product(e_3,e_2,X0)
    | ~ product(e_2,X1,e_3)
    | ~ product(X1,e_3,X0) ),
    inference(instantiation,[status(thm)],[c_92785]) ).

cnf(c_184722,plain,
    ( product(e_3,e_2,e_2)
    | ~ product(e_2,X0,e_3)
    | ~ product(X0,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_93194]) ).

cnf(c_184723,plain,
    ( product(e_3,e_2,e_2)
    | ~ product(e_2,e_1,e_3)
    | ~ product(e_1,e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_184722]) ).

cnf(c_92881,plain,
    ( ~ product(e_4,X0,e_1)
    | ~ product(e_3,X0,e_1)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92721]) ).

cnf(c_184661,plain,
    ( ~ product(e_4,e_3,e_1)
    | ~ product(e_3,e_3,e_1)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92881]) ).

cnf(c_92595,plain,
    ( ~ product(e_3,X0,X1)
    | ~ product(e_1,X0,X1)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_92788,plain,
    ( ~ product(e_3,X0,e_1)
    | ~ product(e_1,X0,e_1)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92595]) ).

cnf(c_184665,plain,
    ( ~ product(e_3,e_3,e_1)
    | ~ product(e_1,e_3,e_1)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92788]) ).

cnf(c_93264,plain,
    ( ~ product(e_4,X0,e_3)
    | ~ product(e_1,X0,e_3)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92613]) ).

cnf(c_184643,plain,
    ( ~ product(e_4,e_3,e_3)
    | ~ product(e_1,e_3,e_3)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_93264]) ).

cnf(c_92685,plain,
    ( ~ product(e_3,X0,X1)
    | ~ product(e_1,X0,X1)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_93204,plain,
    ( ~ product(e_3,X0,e_3)
    | ~ product(e_1,X0,e_3)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_92685]) ).

cnf(c_184559,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_1,e_3,e_3)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_93204]) ).

cnf(c_92787,plain,
    ( ~ product(X0,X1,e_3)
    | product(X1,X2,e_3)
    | ~ product(X2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_93219,plain,
    ( ~ product(e_3,X0,X1)
    | product(X1,e_3,e_3)
    | ~ product(X0,X1,e_3) ),
    inference(instantiation,[status(thm)],[c_92787]) ).

cnf(c_184550,plain,
    ( ~ product(e_3,X0,e_2)
    | product(e_2,e_3,e_3)
    | ~ product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93219]) ).

cnf(c_184556,plain,
    ( ~ product(e_3,e_1,e_2)
    | product(e_2,e_3,e_3)
    | ~ product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_184550]) ).

cnf(c_93213,plain,
    ( ~ product(e_2,X0,X1)
    | product(X1,e_2,e_3)
    | ~ product(X0,X1,e_3) ),
    inference(instantiation,[status(thm)],[c_92787]) ).

cnf(c_184540,plain,
    ( product(e_2,e_2,e_3)
    | ~ product(e_2,X0,e_2)
    | ~ product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93213]) ).

cnf(c_184541,plain,
    ( product(e_2,e_2,e_3)
    | ~ product(e_2,e_1,e_2)
    | ~ product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_184540]) ).

cnf(c_93201,plain,
    ( product(e_3,X0,e_3)
    | ~ product(X1,e_3,e_3)
    | ~ product(X0,X1,e_3) ),
    inference(instantiation,[status(thm)],[c_92787]) ).

cnf(c_184465,plain,
    ( product(e_3,e_3,e_3)
    | ~ product(e_3,X0,e_3)
    | ~ product(X0,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_93201]) ).

cnf(c_184466,plain,
    ( product(e_3,e_3,e_3)
    | ~ product(e_3,e_1,e_3)
    | ~ product(e_1,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_184465]) ).

cnf(c_184452,plain,
    ( product(e_3,e_2,e_3)
    | ~ product(e_2,X0,e_3)
    | ~ product(X0,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_93194]) ).

cnf(c_184457,plain,
    ( product(e_3,e_2,e_3)
    | ~ product(e_2,e_1,e_3)
    | ~ product(e_1,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_184452]) ).

cnf(c_184441,plain,
    ( ~ product(e_3,e_2,X0)
    | ~ product(e_3,e_1,X0)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92632]) ).

cnf(c_184444,plain,
    ( ~ product(e_3,e_2,e_1)
    | ~ product(e_3,e_1,e_1)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_184441]) ).

cnf(c_93151,plain,
    ( ~ product(e_4,e_4,X0)
    | product(e_4,X1,X0)
    | ~ product(X1,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93120]) ).

cnf(c_184407,plain,
    ( ~ product(e_4,e_4,e_4)
    | product(e_4,X0,e_4)
    | ~ product(X0,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93151]) ).

cnf(c_184408,plain,
    ( ~ product(e_4,e_4,e_4)
    | product(e_4,e_1,e_4)
    | ~ product(e_1,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_184407]) ).

cnf(c_184346,plain,
    ( ~ product(e_4,X0,e_4)
    | ~ product(e_2,X0,e_4)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_92757]) ).

cnf(c_184361,plain,
    ( ~ product(e_4,e_1,e_4)
    | ~ product(e_2,e_1,e_4)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_184346]) ).

cnf(c_184360,plain,
    ( ~ product(e_4,e_1,e_4)
    | ~ product(e_1,e_1,e_4)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_184347]) ).

cnf(c_184348,plain,
    ( ~ product(e_4,X0,e_4)
    | ~ product(e_3,X0,e_4)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92721]) ).

cnf(c_184359,plain,
    ( ~ product(e_4,e_1,e_4)
    | ~ product(e_3,e_1,e_4)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_184348]) ).

cnf(c_184349,plain,
    ( ~ product(e_4,X0,e_4)
    | ~ product(e_2,X0,e_4)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92667]) ).

cnf(c_184358,plain,
    ( ~ product(e_4,e_1,e_4)
    | ~ product(e_2,e_1,e_4)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_184349]) ).

cnf(c_184352,plain,
    ( product(e_4,e_4,e_4)
    | ~ product(e_4,X0,e_4)
    | ~ product(X0,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_92972]) ).

cnf(c_184356,plain,
    ( product(e_4,e_4,e_4)
    | ~ product(e_4,e_1,e_4)
    | ~ product(e_1,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_184352]) ).

cnf(c_184343,plain,
    ( ~ product(e_4,e_2,e_4)
    | ~ product(e_4,e_1,e_4)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92949]) ).

cnf(c_184310,plain,
    ( ~ product(e_4,e_4,X0)
    | product(e_4,e_3,X0)
    | ~ product(e_3,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_92954]) ).

cnf(c_184311,plain,
    ( ~ product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | ~ product(e_3,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_184310]) ).

cnf(c_93609,plain,
    ( product(e_3,X0,e_3)
    | ~ product(e_2,e_3,e_3)
    | ~ product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92796]) ).

cnf(c_184273,plain,
    ( product(e_3,e_2,e_3)
    | ~ product(e_2,e_3,e_3)
    | ~ product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93609]) ).

cnf(c_184271,plain,
    ( ~ product(e_4,e_2,e_3)
    | product(e_3,e_4,e_3)
    | ~ product(e_2,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_93609]) ).

cnf(c_93547,plain,
    ( ~ product(e_4,e_4,X0)
    | ~ product(e_2,e_4,X0)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_92757]) ).

cnf(c_184223,plain,
    ( ~ product(e_4,e_4,e_3)
    | ~ product(e_2,e_4,e_3)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93547]) ).

cnf(c_184221,plain,
    ( ~ product(e_4,e_4,e_2)
    | ~ product(e_2,e_4,e_2)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93547]) ).

cnf(c_93532,plain,
    ( ~ product(e_4,e_4,X0)
    | ~ product(e_1,e_4,X0)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92739]) ).

cnf(c_184217,plain,
    ( ~ product(e_4,e_4,e_2)
    | ~ product(e_1,e_4,e_2)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_93532]) ).

cnf(c_93469,plain,
    ( ~ product(e_4,e_4,X0)
    | ~ product(e_2,e_4,X0)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92667]) ).

cnf(c_184206,plain,
    ( ~ product(e_4,e_4,e_2)
    | ~ product(e_2,e_4,e_2)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93469]) ).

cnf(c_93326,plain,
    ( ~ product(e_4,e_4,e_2)
    | ~ product(e_4,e_2,X0)
    | product(e_2,e_4,X0) ),
    inference(instantiation,[status(thm)],[c_93036]) ).

cnf(c_184181,plain,
    ( ~ product(e_4,e_4,e_2)
    | ~ product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_93326]) ).

cnf(c_184163,plain,
    ( ~ product(e_2,e_4,e_4)
    | ~ product(e_2,e_1,e_4)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92973]) ).

cnf(c_184158,plain,
    ( ~ product(e_4,e_4,e_2)
    | ~ product(e_4,e_2,e_4)
    | product(e_2,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93326]) ).

cnf(c_184149,plain,
    ( ~ product(e_4,e_4,e_2)
    | ~ product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93326]) ).

cnf(c_93284,plain,
    ( ~ product(e_4,e_3,e_3)
    | product(e_3,X0,e_3)
    | ~ product(X0,e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_92796]) ).

cnf(c_184130,plain,
    ( ~ product(e_4,e_3,e_3)
    | product(e_3,e_2,e_3)
    | ~ product(e_2,e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_93284]) ).

cnf(c_92922,plain,
    ( product(e_4,X0,e_3)
    | ~ product(X1,e_4,e_3)
    | ~ product(X0,X1,e_4) ),
    inference(instantiation,[status(thm)],[c_92817]) ).

cnf(c_93283,plain,
    ( product(e_4,e_3,e_3)
    | ~ product(e_3,X0,e_4)
    | ~ product(X0,e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_92922]) ).

cnf(c_184125,plain,
    ( product(e_4,e_3,e_3)
    | ~ product(e_3,e_2,e_4)
    | ~ product(e_2,e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_93283]) ).

cnf(c_184124,plain,
    ( ~ product(e_4,e_4,e_3)
    | product(e_4,e_3,e_3)
    | ~ product(e_3,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93283]) ).

cnf(c_92578,plain,
    ( ~ product(X0,e_2,X1)
    | ~ product(X0,e_1,X1)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_93215,plain,
    ( ~ product(X0,e_2,e_3)
    | ~ product(X0,e_1,e_3)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92578]) ).

cnf(c_93922,plain,
    ( ~ product(e_3,e_2,e_3)
    | ~ product(e_3,e_1,e_3)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93215]) ).

cnf(c_93203,plain,
    ( ~ product(e_3,X0,e_3)
    | ~ product(e_2,X0,e_3)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92703]) ).

cnf(c_93910,plain,
    ( ~ product(e_3,e_4,e_3)
    | ~ product(e_2,e_4,e_3)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_93203]) ).

cnf(c_92950,plain,
    ( ~ product(e_4,e_2,X0)
    | ~ product(e_4,e_1,X0)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92578]) ).

cnf(c_93895,plain,
    ( ~ product(e_4,e_2,e_2)
    | ~ product(e_4,e_1,e_2)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92950]) ).

cnf(c_93867,plain,
    ( ~ product(e_4,e_2,e_1)
    | ~ product(e_3,e_2,e_1)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_92848]) ).

cnf(c_93873,plain,
    ( ~ product(e_4,e_2,e_1)
    | ~ product(e_2,e_1,e_3)
    | product(e_1,e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_93018]) ).

cnf(c_93874,plain,
    ( ~ product(e_4,e_2,e_1)
    | ~ product(e_2,e_1,e_4)
    | product(e_1,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_92972]) ).

cnf(c_92686,plain,
    ( ~ product(X0,e_3,X1)
    | ~ product(X0,e_1,X1)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_93008,plain,
    ( ~ product(X0,e_3,e_4)
    | ~ product(X0,e_1,e_4)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_92686]) ).

cnf(c_93860,plain,
    ( ~ product(e_2,e_3,e_4)
    | ~ product(e_2,e_1,e_4)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_93008]) ).

cnf(c_93857,plain,
    ( product(e_3,e_1,e_4)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93856]) ).

cnf(c_92631,plain,
    ( ~ product(e_2,X0,X1)
    | ~ product(e_1,X0,X1)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_92984,plain,
    ( ~ product(e_2,X0,e_4)
    | ~ product(e_1,X0,e_4)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92631]) ).

cnf(c_93845,plain,
    ( ~ product(e_2,e_3,e_4)
    | ~ product(e_1,e_3,e_4)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92984]) ).

cnf(c_93825,plain,
    ( ~ product(e_2,e_2,e_4)
    | ~ product(e_1,e_2,e_4)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92984]) ).

cnf(c_92650,plain,
    ( ~ product(X0,e_3,X1)
    | ~ product(X0,e_2,X1)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_93793,plain,
    ( ~ product(X0,e_3,e_2)
    | ~ product(X0,e_2,e_2)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92650]) ).

cnf(c_93797,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_1,e_2,e_2)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93793]) ).

cnf(c_92596,plain,
    ( ~ product(X0,e_3,X1)
    | ~ product(X0,e_1,X1)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_93794,plain,
    ( ~ product(X0,e_3,e_2)
    | ~ product(X0,e_1,e_2)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92596]) ).

cnf(c_93796,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_93794]) ).

cnf(c_93787,plain,
    ( ~ product(e_3,X0,X1)
    | product(X1,e_3,e_2)
    | ~ product(X0,X1,e_2) ),
    inference(instantiation,[status(thm)],[c_92766]) ).

cnf(c_93795,plain,
    ( ~ product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | ~ product(e_1,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93787]) ).

cnf(c_93779,plain,
    ( ~ product(X0,e_4,e_2)
    | ~ product(X0,e_2,e_2)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92668]) ).

cnf(c_93785,plain,
    ( ~ product(e_1,e_4,e_2)
    | ~ product(e_1,e_2,e_2)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93779]) ).

cnf(c_93784,plain,
    ( ~ product(e_1,e_2,e_2)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_93780]) ).

cnf(c_93781,plain,
    ( ~ product(X0,e_2,e_2)
    | ~ product(X0,e_1,e_2)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92578]) ).

cnf(c_93783,plain,
    ( ~ product(e_1,e_2,e_2)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93781]) ).

cnf(c_93782,plain,
    ( ~ product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | ~ product(e_1,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93777]) ).

cnf(c_93006,plain,
    ( ~ product(e_3,X0,X1)
    | product(X1,e_3,e_4)
    | ~ product(X0,X1,e_4) ),
    inference(instantiation,[status(thm)],[c_92808]) ).

cnf(c_93763,plain,
    ( ~ product(e_3,X0,e_2)
    | product(e_2,e_3,e_4)
    | ~ product(X0,e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93006]) ).

cnf(c_93775,plain,
    ( ~ product(e_3,e_1,e_2)
    | product(e_2,e_3,e_4)
    | ~ product(e_1,e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93763]) ).

cnf(c_93765,plain,
    ( ~ product(e_3,X0,e_2)
    | ~ product(e_2,X0,e_2)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92703]) ).

cnf(c_93773,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ product(e_2,e_1,e_2)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_93765]) ).

cnf(c_93766,plain,
    ( ~ product(e_3,X0,e_2)
    | ~ product(e_1,X0,e_2)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_92685]) ).

cnf(c_93772,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_93766]) ).

cnf(c_92649,plain,
    ( ~ product(e_3,X0,X1)
    | ~ product(e_2,X0,X1)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_93767,plain,
    ( ~ product(e_3,X0,e_2)
    | ~ product(e_2,X0,e_2)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92649]) ).

cnf(c_93771,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ product(e_2,e_1,e_2)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93767]) ).

cnf(c_93768,plain,
    ( ~ product(e_3,X0,e_2)
    | ~ product(e_1,X0,e_2)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92595]) ).

cnf(c_93770,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_93768]) ).

cnf(c_93756,plain,
    ( ~ product(e_2,X0,e_2)
    | ~ product(e_1,X0,e_2)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92631]) ).

cnf(c_93760,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_93756]) ).

cnf(c_92577,plain,
    ( ~ product(e_2,X0,X1)
    | ~ product(e_1,X0,X1)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_93757,plain,
    ( ~ product(e_2,X0,e_2)
    | ~ product(e_1,X0,e_2)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92577]) ).

cnf(c_93759,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93757]) ).

cnf(c_92614,plain,
    ( ~ product(X0,e_4,X1)
    | ~ product(X0,e_1,X1)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_93746,plain,
    ( ~ product(X0,e_4,e_2)
    | ~ product(X0,e_1,e_2)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92614]) ).

cnf(c_93747,plain,
    ( ~ product(e_1,e_4,e_2)
    | ~ product(e_1,e_1,e_2)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_93746]) ).

cnf(c_92789,plain,
    ( product(e_3,X0,e_4)
    | product(e_3,X0,e_3)
    | product(e_3,X0,e_2)
    | product(e_3,X0,e_1)
    | ~ group_element(e_3)
    | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_93666,plain,
    ( product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | ~ group_element(e_4)
    | ~ group_element(e_3) ),
    inference(instantiation,[status(thm)],[c_92789]) ).

cnf(c_93661,plain,
    ( ~ product(e_3,e_2,e_4)
    | ~ product(e_2,e_2,e_4)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92991]) ).

cnf(c_92778,plain,
    ( product(X0,e_2,e_4)
    | product(X0,e_2,e_3)
    | product(X0,e_2,e_2)
    | product(X0,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_93624,plain,
    ( product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | ~ group_element(e_4)
    | ~ group_element(e_2) ),
    inference(instantiation,[status(thm)],[c_92778]) ).

cnf(c_93610,plain,
    ( product(e_3,e_1,e_3)
    | ~ product(e_2,e_3,e_3)
    | ~ product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93609]) ).

cnf(c_92768,plain,
    ( product(e_2,X0,e_4)
    | product(e_2,X0,e_3)
    | product(e_2,X0,e_2)
    | product(e_2,X0,e_1)
    | ~ group_element(e_2)
    | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_93608,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_2) ),
    inference(instantiation,[status(thm)],[c_92768]) ).

cnf(c_93606,plain,
    ( ~ product(e_2,e_2,e_3)
    | product(e_2,X0,e_3)
    | ~ product(X0,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_92775]) ).

cnf(c_93607,plain,
    ( ~ product(e_2,e_2,e_3)
    | product(e_2,e_1,e_3)
    | ~ product(e_1,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_93606]) ).

cnf(c_93584,plain,
    ( product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | ~ group_element(e_4)
    | ~ group_element(e_2) ),
    inference(instantiation,[status(thm)],[c_92768]) ).

cnf(c_93566,plain,
    ( ~ product(e_4,e_2,e_4)
    | ~ product(e_3,e_2,e_4)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_92848]) ).

cnf(c_93561,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_3,e_1,e_3)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_93560]) ).

cnf(c_93534,plain,
    ( ~ product(e_4,e_2,e_4)
    | ~ product(e_1,e_2,e_4)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92739]) ).

cnf(c_93520,plain,
    ( ~ product(X0,e_4,e_3)
    | ~ product(X0,e_3,e_3)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92722]) ).

cnf(c_93521,plain,
    ( ~ product(e_1,e_4,e_3)
    | ~ product(e_1,e_3,e_3)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_93520]) ).

cnf(c_93513,plain,
    ( ~ product(e_4,X0,e_3)
    | ~ product(e_3,X0,e_3)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92721]) ).

cnf(c_93514,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_3,e_1,e_3)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_93513]) ).

cnf(c_93472,plain,
    ( ~ product(X0,e_4,e_3)
    | ~ product(X0,e_2,e_3)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_92668]) ).

cnf(c_93473,plain,
    ( ~ product(e_1,e_4,e_3)
    | ~ product(e_1,e_2,e_3)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93472]) ).

cnf(c_93466,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_2,e_1,e_3)
    | equalish(e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93465]) ).

cnf(c_93452,plain,
    ( ~ product(X0,e_4,e_3)
    | ~ product(X0,e_1,e_3)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92614]) ).

cnf(c_93457,plain,
    ( ~ product(e_1,e_4,e_3)
    | ~ product(e_1,e_1,e_3)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_93452]) ).

cnf(c_93414,plain,
    ( ~ product(e_4,e_3,X0)
    | ~ product(e_3,e_4,e_3)
    | product(e_3,e_3,X0) ),
    inference(instantiation,[status(thm)],[c_93045]) ).

cnf(c_93415,plain,
    ( ~ product(e_4,e_3,e_1)
    | ~ product(e_3,e_4,e_3)
    | product(e_3,e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_93414]) ).

cnf(c_93029,plain,
    ( ~ product(e_4,X0,X1)
    | product(X1,e_4,e_2)
    | ~ product(X0,X1,e_2) ),
    inference(instantiation,[status(thm)],[c_92827]) ).

cnf(c_93410,plain,
    ( product(e_4,e_4,e_2)
    | ~ product(e_4,e_2,e_4)
    | ~ product(e_2,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93029]) ).

cnf(c_93407,plain,
    ( ~ product(e_4,e_4,X0)
    | ~ product(e_4,X0,e_2)
    | product(X0,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93029]) ).

cnf(c_93408,plain,
    ( ~ product(e_4,e_4,e_1)
    | ~ product(e_4,e_1,e_2)
    | product(e_1,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93407]) ).

cnf(c_93403,plain,
    ( product(e_4,e_4,e_3)
    | ~ product(e_4,e_2,e_4)
    | ~ product(e_2,e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_93018]) ).

cnf(c_93398,plain,
    ( product(e_4,e_3,e_4)
    | ~ product(e_3,e_2,e_4)
    | ~ product(e_2,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93006]) ).

cnf(c_93388,plain,
    ( product(e_3,e_2,e_4)
    | ~ product(e_2,X0,e_3)
    | ~ product(X0,e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_93000]) ).

cnf(c_93390,plain,
    ( product(e_3,e_2,e_4)
    | ~ product(e_2,e_1,e_3)
    | ~ product(e_1,e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_93388]) ).

cnf(c_93373,plain,
    ( product(e_2,e_2,e_4)
    | ~ product(e_2,e_1,e_2)
    | ~ product(e_1,e_2,e_4) ),
    inference(instantiation,[status(thm)],[c_93371]) ).

cnf(c_93360,plain,
    ( product(e_4,e_2,e_4)
    | ~ product(e_2,X0,e_4)
    | ~ product(X0,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93000]) ).

cnf(c_93365,plain,
    ( product(e_4,e_2,e_4)
    | ~ product(e_2,e_1,e_4)
    | ~ product(e_1,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93360]) ).

cnf(c_93355,plain,
    ( ~ product(e_4,e_4,X0)
    | ~ product(e_4,X0,e_4)
    | product(X0,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_92972]) ).

cnf(c_93356,plain,
    ( ~ product(e_4,e_4,e_1)
    | ~ product(e_4,e_1,e_4)
    | product(e_1,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93355]) ).

cnf(c_92969,plain,
    ( ~ product(e_4,X0,e_3)
    | ~ product(X1,e_4,X0)
    | product(X0,X1,e_3) ),
    inference(instantiation,[status(thm)],[c_92787]) ).

cnf(c_93342,plain,
    ( ~ product(e_4,X0,e_3)
    | ~ product(e_2,e_4,X0)
    | product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92969]) ).

cnf(c_93343,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_2,e_4,e_1)
    | product(e_1,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93342]) ).

cnf(c_93334,plain,
    ( ~ product(e_4,e_4,e_3)
    | product(e_4,X0,e_3)
    | ~ product(X0,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_92969]) ).

cnf(c_93335,plain,
    ( ~ product(e_4,e_4,e_3)
    | product(e_4,e_1,e_3)
    | ~ product(e_1,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93334]) ).

cnf(c_93044,plain,
    ( ~ product(e_4,X0,e_3)
    | product(e_3,e_4,X1)
    | ~ product(X0,e_3,X1) ),
    inference(instantiation,[status(thm)],[c_92827]) ).

cnf(c_93328,plain,
    ( ~ product(e_4,X0,e_3)
    | product(e_3,e_4,e_3)
    | ~ product(X0,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_93044]) ).

cnf(c_93329,plain,
    ( ~ product(e_4,e_1,e_3)
    | product(e_3,e_4,e_3)
    | ~ product(e_1,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_93328]) ).

cnf(c_92982,plain,
    ( product(e_2,X0,e_4)
    | ~ product(X1,e_2,e_4)
    | ~ product(X0,X1,e_2) ),
    inference(instantiation,[status(thm)],[c_92808]) ).

cnf(c_93324,plain,
    ( ~ product(e_4,e_2,e_4)
    | product(e_2,X0,e_4)
    | ~ product(X0,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_92982]) ).

cnf(c_93325,plain,
    ( ~ product(e_4,e_2,e_4)
    | product(e_2,e_1,e_4)
    | ~ product(e_1,e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_93324]) ).

cnf(c_93274,plain,
    ( ~ product(e_4,e_2,e_3)
    | ~ product(e_4,e_1,e_3)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92949]) ).

cnf(c_93272,plain,
    ( product(e_4,e_2,e_3)
    | ~ product(e_2,X0,e_4)
    | ~ product(X0,e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_92922]) ).

cnf(c_93275,plain,
    ( product(e_4,e_2,e_3)
    | ~ product(e_2,e_1,e_4)
    | ~ product(e_1,e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_93272]) ).

cnf(c_93265,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_1,e_1,e_3)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_93264]) ).

cnf(c_93039,plain,
    ( ~ product(e_2,e_4,X0)
    | ~ product(e_1,e_4,X0)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92577]) ).

cnf(c_93242,plain,
    ( ~ product(e_2,e_4,e_3)
    | ~ product(e_1,e_4,e_3)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93039]) ).

cnf(c_92704,plain,
    ( ~ product(X0,e_3,X1)
    | ~ product(X0,e_2,X1)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_93220,plain,
    ( ~ product(X0,e_3,e_3)
    | ~ product(X0,e_2,e_3)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92704]) ).

cnf(c_93228,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ product(e_1,e_2,e_3)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_93220]) ).

cnf(c_93223,plain,
    ( ~ product(X0,e_3,e_3)
    | ~ product(X0,e_1,e_3)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92596]) ).

cnf(c_93225,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ product(e_1,e_1,e_3)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_93223]) ).

cnf(c_93224,plain,
    ( ~ product(e_3,e_1,e_1)
    | product(e_1,e_3,e_3)
    | ~ product(e_1,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_93219]) ).

cnf(c_93217,plain,
    ( ~ product(e_1,e_2,e_3)
    | ~ product(e_1,e_1,e_3)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93215]) ).

cnf(c_93216,plain,
    ( ~ product(e_2,e_1,e_1)
    | product(e_1,e_2,e_3)
    | ~ product(e_1,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_93213]) ).

cnf(c_93202,plain,
    ( product(e_3,e_3,X0)
    | ~ product(e_3,X1,e_3)
    | ~ product(X1,e_3,X0) ),
    inference(instantiation,[status(thm)],[c_92806]) ).

cnf(c_93212,plain,
    ( product(e_3,e_3,e_1)
    | ~ product(e_3,e_1,e_3)
    | ~ product(e_1,e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_93202]) ).

cnf(c_93205,plain,
    ( ~ product(e_3,X0,e_3)
    | ~ product(e_2,X0,e_3)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92649]) ).

cnf(c_93209,plain,
    ( ~ product(e_3,e_1,e_3)
    | ~ product(e_2,e_1,e_3)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93205]) ).

cnf(c_93206,plain,
    ( ~ product(e_3,X0,e_3)
    | ~ product(e_1,X0,e_3)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92595]) ).

cnf(c_93208,plain,
    ( ~ product(e_3,e_1,e_3)
    | ~ product(e_1,e_1,e_3)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_93206]) ).

cnf(c_93200,plain,
    ( product(e_3,e_2,e_1)
    | ~ product(e_2,e_1,e_3)
    | ~ product(e_1,e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_93194]) ).

cnf(c_93196,plain,
    ( ~ product(e_2,X0,e_3)
    | ~ product(e_1,X0,e_3)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92577]) ).

cnf(c_93198,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ product(e_1,e_1,e_3)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93196]) ).

cnf(c_92992,plain,
    ( ~ product(e_3,X0,e_4)
    | ~ product(e_1,X0,e_4)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_92685]) ).

cnf(c_93176,plain,
    ( ~ product(e_3,e_4,e_4)
    | ~ product(e_1,e_4,e_4)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_92992]) ).

cnf(c_92985,plain,
    ( ~ product(e_2,X0,e_4)
    | ~ product(e_1,X0,e_4)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92577]) ).

cnf(c_93173,plain,
    ( ~ product(e_2,e_4,e_4)
    | ~ product(e_1,e_4,e_4)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92985]) ).

cnf(c_93152,plain,
    ( ~ product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | ~ product(e_1,e_4,e_4) ),
    inference(instantiation,[status(thm)],[c_93151]) ).

cnf(c_93121,plain,
    ( ~ product(e_4,e_1,e_1)
    | ~ product(e_1,e_4,e_1)
    | product(e_1,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_93120]) ).

cnf(c_93048,plain,
    ( ~ product(e_3,e_4,X0)
    | ~ product(e_2,e_4,X0)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92649]) ).

cnf(c_93052,plain,
    ( ~ product(e_3,e_4,e_1)
    | ~ product(e_2,e_4,e_1)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_93048]) ).

cnf(c_93033,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_1,e_4,e_2)
    | ~ product(e_1,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93029]) ).

cnf(c_93024,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | ~ product(e_1,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_93018]) ).

cnf(c_93010,plain,
    ( ~ product(X0,e_3,e_4)
    | ~ product(X0,e_1,e_4)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92596]) ).

cnf(c_93012,plain,
    ( ~ product(e_1,e_3,e_4)
    | ~ product(e_1,e_1,e_4)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_93010]) ).

cnf(c_93011,plain,
    ( ~ product(e_3,e_1,e_1)
    | product(e_1,e_3,e_4)
    | ~ product(e_1,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_93006]) ).

cnf(c_93002,plain,
    ( ~ product(X0,e_2,e_4)
    | ~ product(X0,e_1,e_4)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92578]) ).

cnf(c_93004,plain,
    ( ~ product(e_1,e_2,e_4)
    | ~ product(e_1,e_1,e_4)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_93002]) ).

cnf(c_93003,plain,
    ( ~ product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4)
    | ~ product(e_1,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_93000]) ).

cnf(c_92999,plain,
    ( ~ product(e_3,e_1,e_4)
    | ~ product(e_2,e_1,e_4)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92991]) ).

cnf(c_92998,plain,
    ( ~ product(e_3,e_1,e_4)
    | ~ product(e_1,e_1,e_4)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_92992]) ).

cnf(c_92993,plain,
    ( ~ product(e_3,X0,e_4)
    | ~ product(e_2,X0,e_4)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92649]) ).

cnf(c_92997,plain,
    ( ~ product(e_3,e_1,e_4)
    | ~ product(e_2,e_1,e_4)
    | equalish(e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_92993]) ).

cnf(c_92988,plain,
    ( ~ product(e_2,e_1,e_4)
    | ~ product(e_1,e_1,e_4)
    | equalish(e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_92984]) ).

cnf(c_92987,plain,
    ( ~ product(e_2,e_1,e_4)
    | ~ product(e_1,e_1,e_4)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92985]) ).

cnf(c_92981,plain,
    ( ~ product(e_1,e_4,e_4)
    | ~ product(e_1,e_1,e_4)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92973]) ).

cnf(c_92974,plain,
    ( ~ product(X0,e_4,e_4)
    | ~ product(X0,e_3,e_4)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92722]) ).

cnf(c_92980,plain,
    ( ~ product(e_1,e_4,e_4)
    | ~ product(e_1,e_3,e_4)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92974]) ).

cnf(c_92977,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_1,e_4,e_4)
    | ~ product(e_1,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92972]) ).

cnf(c_92970,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ product(e_1,e_4,e_1)
    | product(e_1,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92969]) ).

cnf(c_92955,plain,
    ( ~ product(e_4,e_3,X0)
    | ~ product(e_4,e_2,X0)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92704]) ).

cnf(c_92963,plain,
    ( ~ product(e_4,e_3,e_1)
    | ~ product(e_4,e_2,e_1)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92955]) ).

cnf(c_92939,plain,
    ( ~ product(e_4,e_4,X0)
    | ~ product(e_4,e_1,X0)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92740]) ).

cnf(c_92947,plain,
    ( ~ product(e_4,e_4,e_1)
    | ~ product(e_4,e_1,e_1)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92939]) ).

cnf(c_92940,plain,
    ( ~ product(e_4,e_4,X0)
    | ~ product(e_4,e_3,X0)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92722]) ).

cnf(c_92946,plain,
    ( ~ product(e_4,e_4,e_1)
    | ~ product(e_4,e_3,e_1)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92940]) ).

cnf(c_92938,plain,
    ( product(e_4,e_4,X0)
    | ~ product(e_4,X1,e_4)
    | ~ product(X1,e_4,X0) ),
    inference(instantiation,[status(thm)],[c_92817]) ).

cnf(c_92943,plain,
    ( product(e_4,e_4,e_1)
    | ~ product(e_4,e_1,e_4)
    | ~ product(e_1,e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92938]) ).

cnf(c_92932,plain,
    ( product(e_4,X0,e_2)
    | ~ product(X1,e_4,e_2)
    | ~ product(X0,X1,e_4) ),
    inference(instantiation,[status(thm)],[c_92817]) ).

cnf(c_92935,plain,
    ( product(e_4,e_1,e_2)
    | ~ product(e_1,e_4,e_2)
    | ~ product(e_1,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92932]) ).

cnf(c_92927,plain,
    ( product(e_4,e_1,e_3)
    | ~ product(e_1,e_4,e_3)
    | ~ product(e_1,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92922]) ).

cnf(c_92608,plain,
    ( ~ product(X0,X1,e_4)
    | ~ product(X0,X1,e_1)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_92916,plain,
    ( ~ product(e_4,X0,e_4)
    | ~ product(e_4,X0,e_1)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92608]) ).

cnf(c_92918,plain,
    ( ~ product(e_4,e_1,e_4)
    | ~ product(e_4,e_1,e_1)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92916]) ).

cnf(c_92912,plain,
    ( product(e_4,X0,e_4)
    | ~ product(X1,e_4,e_4)
    | ~ product(X0,X1,e_4) ),
    inference(instantiation,[status(thm)],[c_92817]) ).

cnf(c_92917,plain,
    ( product(e_4,e_1,e_4)
    | ~ product(e_1,e_4,e_4)
    | ~ product(e_1,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92912]) ).

cnf(c_92852,plain,
    ( ~ product(e_4,e_1,e_1)
    | ~ product(e_3,e_1,e_1)
    | equalish(e_4,e_3) ),
    inference(instantiation,[status(thm)],[c_92848]) ).

cnf(c_92820,plain,
    ( product(X0,e_4,e_4)
    | product(X0,e_4,e_3)
    | product(X0,e_4,e_2)
    | product(X0,e_4,e_1)
    | ~ group_element(e_4)
    | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_92826,plain,
    ( product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | ~ group_element(e_4)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_92820]) ).

cnf(c_92818,plain,
    ( product(e_4,e_1,e_1)
    | ~ product(e_1,e_4,e_1)
    | ~ product(e_1,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92817]) ).

cnf(c_92816,plain,
    ( product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | ~ group_element(e_4)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_92810]) ).

cnf(c_92805,plain,
    ( product(e_1,e_3,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_92799]) ).

cnf(c_92797,plain,
    ( product(e_3,e_1,e_1)
    | ~ product(e_1,e_3,e_1)
    | ~ product(e_1,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92796]) ).

cnf(c_92795,plain,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_92789]) ).

cnf(c_92784,plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_92778]) ).

cnf(c_92774,plain,
    ( product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_92768]) ).

cnf(c_92758,plain,
    ( ~ product(X0,e_4,X1)
    | ~ product(X0,e_2,X1)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_92760,plain,
    ( ~ product(e_1,e_4,e_1)
    | ~ product(e_1,e_2,e_1)
    | equalish(e_4,e_2) ),
    inference(instantiation,[status(thm)],[c_92758]) ).

cnf(c_92743,plain,
    ( ~ product(e_4,e_1,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92739]) ).

cnf(c_92742,plain,
    ( ~ product(e_1,e_4,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_92740]) ).

cnf(c_92724,plain,
    ( ~ product(e_1,e_4,e_1)
    | ~ product(e_1,e_3,e_1)
    | equalish(e_3,e_4) ),
    inference(instantiation,[status(thm)],[c_92722]) ).

cnf(c_92707,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_2,e_1,e_1)
    | equalish(e_3,e_2) ),
    inference(instantiation,[status(thm)],[c_92703]) ).

cnf(c_92689,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_92685]) ).

cnf(c_92688,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_92686]) ).

cnf(c_92617,plain,
    ( ~ product(e_4,e_1,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92613]) ).

cnf(c_92616,plain,
    ( ~ product(e_1,e_4,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_92614]) ).

cnf(c_92599,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_92595]) ).

cnf(c_92581,plain,
    ( ~ product(e_2,e_1,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92577]) ).

cnf(c_92580,plain,
    ( ~ product(e_1,e_2,e_1)
    | ~ product(e_1,e_1,e_1)
    | equalish(e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_92578]) ).

cnf(c_80,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_5]) ).

cnf(c_58,plain,
    group_element(e_1),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_139_0) ).

cnf(c_59,plain,
    group_element(e_2),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_138_0) ).

cnf(c_60,plain,
    group_element(e_3),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_137_0) ).

cnf(c_61,plain,
    group_element(e_4),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_136_0) ).

cnf(c_62,plain,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_135_0) ).

cnf(c_63,plain,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_134_0) ).

cnf(c_64,plain,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_133_0) ).

cnf(c_65,plain,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_132_0) ).

cnf(c_66,plain,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_131_0) ).

cnf(c_67,plain,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_130_0) ).

cnf(c_68,plain,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_129_0) ).

cnf(c_69,plain,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_128_0) ).

cnf(c_70,plain,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_127_0) ).

cnf(c_71,plain,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_126_0) ).

cnf(c_72,plain,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_125_0) ).

cnf(c_73,plain,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox/tmp/iprover_modulo_446c11.p',c_0_124_0) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_326019,c_326007,c_325911,c_325888,c_325719,c_325718,c_325714,c_325678,c_325647,c_325645,c_325644,c_325643,c_325642,c_325641,c_325626,c_325615,c_325599,c_325589,c_325536,c_325532,c_185304,c_185075,c_185074,c_185032,c_185029,c_185007,c_185004,c_184972,c_184971,c_184967,c_184946,c_184942,c_184929,c_184890,c_184777,c_184765,c_184763,c_184751,c_184754,c_184745,c_184742,c_184730,c_184723,c_184661,c_184665,c_184643,c_184559,c_184556,c_184541,c_184466,c_184457,c_184444,c_184408,c_184361,c_184360,c_184359,c_184358,c_184356,c_184343,c_184311,c_184273,c_184271,c_184223,c_184221,c_184217,c_184206,c_184181,c_184163,c_184158,c_184149,c_184130,c_184125,c_184124,c_93922,c_93910,c_93895,c_93867,c_93873,c_93874,c_93860,c_93857,c_93845,c_93825,c_93797,c_93796,c_93795,c_93785,c_93784,c_93783,c_93782,c_93775,c_93773,c_93772,c_93771,c_93770,c_93760,c_93759,c_93747,c_93666,c_93661,c_93624,c_93610,c_93608,c_93607,c_93584,c_93566,c_93561,c_93534,c_93521,c_93514,c_93473,c_93466,c_93457,c_93415,c_93410,c_93408,c_93403,c_93398,c_93390,c_93373,c_93365,c_93356,c_93343,c_93335,c_93329,c_93325,c_93274,c_93275,c_93265,c_93242,c_93228,c_93225,c_93224,c_93217,c_93216,c_93212,c_93209,c_93208,c_93200,c_93198,c_93176,c_93173,c_93152,c_93121,c_93052,c_93033,c_93024,c_93012,c_93011,c_93004,c_93003,c_92999,c_92998,c_92997,c_92988,c_92987,c_92981,c_92980,c_92977,c_92970,c_92963,c_92947,c_92946,c_92943,c_92935,c_92927,c_92918,c_92917,c_92852,c_92826,c_92818,c_92816,c_92805,c_92797,c_92795,c_92784,c_92774,c_92760,c_92743,c_92742,c_92724,c_92707,c_92689,c_92688,c_92617,c_92616,c_92599,c_92581,c_92580,c_80,c_58,c_59,c_60,c_61,c_62,c_63,c_64,c_65,c_66,c_67,c_68,c_69,c_70,c_71,c_72,c_73]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP129-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 07:46:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.12/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.40  % Orientation found
% 0.12/0.40  % 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_7a63a4.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_446c11.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_c72d7a | grep -v "SZS"
% 0.19/0.42  
% 0.19/0.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------  iProver source info 
% 0.19/0.42  
% 0.19/0.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42  % git: non_committed_changes: true
% 0.19/0.42  % git: last_make_outside_of_git: true
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------ Input Options
% 0.19/0.42  
% 0.19/0.42  % --out_options                         all
% 0.19/0.42  % --tptp_safe_out                       true
% 0.19/0.42  % --problem_path                        ""
% 0.19/0.42  % --include_path                        ""
% 0.19/0.42  % --clausifier                          .//eprover
% 0.19/0.42  % --clausifier_options                  --tstp-format  
% 0.19/0.42  % --stdin                               false
% 0.19/0.42  % --dbg_backtrace                       false
% 0.19/0.42  % --dbg_dump_prop_clauses               false
% 0.19/0.42  % --dbg_dump_prop_clauses_file          -
% 0.19/0.42  % --dbg_out_stat                        false
% 0.19/0.42  
% 0.19/0.42  % ------ General Options
% 0.19/0.42  
% 0.19/0.42  % --fof                                 false
% 0.19/0.42  % --time_out_real                       150.
% 0.19/0.42  % --time_out_prep_mult                  0.2
% 0.19/0.42  % --time_out_virtual                    -1.
% 0.19/0.42  % --schedule                            none
% 0.19/0.42  % --ground_splitting                    input
% 0.19/0.42  % --splitting_nvd                       16
% 0.19/0.42  % --non_eq_to_eq                        false
% 0.19/0.42  % --prep_gs_sim                         true
% 0.19/0.42  % --prep_unflatten                      false
% 0.19/0.42  % --prep_res_sim                        true
% 0.19/0.42  % --prep_upred                          true
% 0.19/0.42  % --res_sim_input                       true
% 0.19/0.42  % --clause_weak_htbl                    true
% 0.19/0.42  % --gc_record_bc_elim                   false
% 0.19/0.42  % --symbol_type_check                   false
% 0.19/0.42  % --clausify_out                        false
% 0.19/0.42  % --large_theory_mode                   false
% 0.19/0.42  % --prep_sem_filter                     none
% 0.19/0.42  % --prep_sem_filter_out                 false
% 0.19/0.42  % --preprocessed_out                    false
% 0.19/0.42  % --sub_typing                          false
% 0.19/0.42  % --brand_transform                     false
% 0.19/0.42  % --pure_diseq_elim                     true
% 0.19/0.42  % --min_unsat_core                      false
% 0.19/0.42  % --pred_elim                           true
% 0.19/0.42  % --add_important_lit                   false
% 0.19/0.42  % --soft_assumptions                    false
% 0.19/0.42  % --reset_solvers                       false
% 0.19/0.42  % --bc_imp_inh                          []
% 0.19/0.42  % --conj_cone_tolerance                 1.5
% 0.19/0.42  % --prolific_symb_bound                 500
% 0.19/0.42  % --lt_threshold                        2000
% 0.19/0.42  
% 0.19/0.42  % ------ SAT Options
% 0.19/0.42  
% 0.19/0.42  % --sat_mode                            false
% 0.19/0.42  % --sat_fm_restart_options              ""
% 0.19/0.42  % --sat_gr_def                          false
% 0.19/0.42  % --sat_epr_types                       true
% 0.19/0.42  % --sat_non_cyclic_types                false
% 0.19/0.42  % --sat_finite_models                   false
% 0.19/0.42  % --sat_fm_lemmas                       false
% 0.19/0.42  % --sat_fm_prep                         false
% 0.19/0.42  % --sat_fm_uc_incr                      true
% 0.19/0.42  % --sat_out_model                       small
% 0.19/0.42  % --sat_out_clauses                     false
% 0.19/0.42  
% 0.19/0.42  % ------ QBF Options
% 0.19/0.42  
% 0.19/0.42  % --qbf_mode                            false
% 0.19/0.42  % --qbf_elim_univ                       true
% 0.19/0.42  % --qbf_sk_in                           true
% 0.19/0.42  % --qbf_pred_elim                       true
% 0.19/0.42  % --qbf_split                           32
% 0.19/0.42  
% 0.19/0.42  % ------ BMC1 Options
% 0.19/0.42  
% 0.19/0.42  % --bmc1_incremental                    false
% 0.19/0.42  % --bmc1_axioms                         reachable_all
% 0.19/0.42  % --bmc1_min_bound                      0
% 0.19/0.42  % --bmc1_max_bound                      -1
% 0.19/0.42  % --bmc1_max_bound_default              -1
% 0.19/0.42  % --bmc1_symbol_reachability            true
% 0.19/0.42  % --bmc1_property_lemmas                false
% 0.19/0.42  % --bmc1_k_induction                    false
% 0.19/0.42  % --bmc1_non_equiv_states               false
% 0.19/0.42  % --bmc1_deadlock                       false
% 0.19/0.42  % --bmc1_ucm                            false
% 0.19/0.42  % --bmc1_add_unsat_core                 none
% 0.19/0.42  % --bmc1_unsat_core_children            false
% 0.19/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.42  % --bmc1_out_stat                       full
% 0.19/0.42  % --bmc1_ground_init                    false
% 0.19/0.42  % --bmc1_pre_inst_next_state            false
% 0.19/0.42  % --bmc1_pre_inst_state                 false
% 0.19/0.42  % --bmc1_pre_inst_reach_state           false
% 0.19/0.42  % --bmc1_out_unsat_core                 false
% 0.19/0.42  % --bmc1_aig_witness_out                false
% 0.19/0.42  % --bmc1_verbose                        false
% 0.19/0.42  % --bmc1_dump_clauses_tptp              false
% 0.19/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.43  % --bmc1_dump_file                      -
% 0.19/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.43  % --bmc1_ucm_extend_mode                1
% 0.19/0.43  % --bmc1_ucm_init_mode                  2
% 0.19/0.43  % --bmc1_ucm_cone_mode                  none
% 0.19/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.43  % --bmc1_ucm_relax_model                4
% 0.19/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.43  % --bmc1_ucm_layered_model              none
% 0.19/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.43  
% 0.19/0.43  % ------ AIG Options
% 0.19/0.43  
% 0.19/0.43  % --aig_mode                            false
% 0.19/0.43  
% 0.19/0.43  % ------ Instantiation Options
% 0.19/0.43  
% 0.19/0.43  % --instantiation_flag                  true
% 0.19/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43  % --inst_solver_per_active              750
% 0.19/0.43  % --inst_solver_calls_frac              0.5
% 0.19/0.43  % --inst_passive_queue_type             priority_queues
% 0.19/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43  % --inst_passive_queues_freq            [25;2]
% 0.19/0.43  % --inst_dismatching                    true
% 0.19/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.43  % --inst_prop_sim_given                 true
% 0.19/0.43  % --inst_prop_sim_new                   false
% 0.19/0.43  % --inst_orphan_elimination             true
% 0.19/0.43  % --inst_learning_loop_flag             true
% 0.19/0.43  % --inst_learning_start                 3000
% 0.19/0.43  % --inst_learning_factor                2
% 0.19/0.43  % --inst_start_prop_sim_after_learn     3
% 0.19/0.43  % --inst_sel_renew                      solver
% 0.19/0.43  % --inst_lit_activity_flag              true
% 0.19/0.43  % --inst_out_proof                      true
% 0.19/0.43  
% 0.19/0.43  % ------ Resolution Options
% 0.19/0.43  
% 0.19/0.43  % --resolution_flag                     true
% 0.19/0.43  % --res_lit_sel                         kbo_max
% 0.19/0.43  % --res_to_prop_solver                  none
% 0.19/0.43  % --res_prop_simpl_new                  false
% 0.19/0.43  % --res_prop_simpl_given                false
% 0.19/0.43  % --res_passive_queue_type              priority_queues
% 0.19/0.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.43  % --res_passive_queues_freq             [15;5]
% 0.19/0.43  % --res_forward_subs                    full
% 0.19/0.43  % --res_backward_subs                   full
% 0.19/0.43  % --res_forward_subs_resolution         true
% 0.19/0.43  % --res_backward_subs_resolution        true
% 0.19/0.43  % --res_orphan_elimination              false
% 0.19/0.43  % --res_time_limit                      1000.
% 0.19/0.43  % --res_out_proof                       true
% 0.19/0.43  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7a63a4.s
% 0.19/0.43  % --modulo                              true
% 0.19/0.43  
% 0.19/0.43  % ------ Combination Options
% 0.19/0.43  
% 0.19/0.43  % --comb_res_mult                       1000
% 0.19/0.43  % --comb_inst_mult                      300
% 0.19/0.43  % ------ 
% 0.19/0.43  
% 0.19/0.43  % ------ Parsing...% successful
% 0.19/0.43  
% 0.19/0.43  % ------ 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 % 
% 0.19/0.43  
% 0.19/0.43  % ------ Proving...
% 0.19/0.43  % ------ Problem Properties 
% 0.19/0.43  
% 0.19/0.43  % 
% 0.19/0.43  % EPR                                   true
% 0.19/0.43  % Horn                                  false
% 0.19/0.43  % Has equality                          false
% 0.19/0.43  
% 0.19/0.43  % % ------ Input Options Time Limit: Unbounded
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  % % ------ Current options:
% 0.19/0.43  
% 0.19/0.43  % ------ Input Options
% 0.19/0.43  
% 0.19/0.43  % --out_options                         all
% 0.19/0.43  % --tptp_safe_out                       true
% 0.19/0.43  % --problem_path                        ""
% 0.19/0.43  % --include_path                        ""
% 0.19/0.43  % --clausifier                          .//eprover
% 0.19/0.43  % --clausifier_options                  --tstp-format  
% 0.19/0.43  % --stdin                               false
% 0.19/0.43  % --dbg_backtrace                       false
% 0.19/0.43  % --dbg_dump_prop_clauses               false
% 0.19/0.43  % --dbg_dump_prop_clauses_file          -
% 0.19/0.43  % --dbg_out_stat                        false
% 0.19/0.43  
% 0.19/0.43  % ------ General Options
% 0.19/0.43  
% 0.19/0.43  % --fof                                 false
% 0.19/0.43  % --time_out_real                       150.
% 0.19/0.43  % --time_out_prep_mult                  0.2
% 0.19/0.43  % --time_out_virtual                    -1.
% 0.19/0.43  % --schedule                            none
% 0.19/0.43  % --ground_splitting                    input
% 0.19/0.43  % --splitting_nvd                       16
% 0.19/0.43  % --non_eq_to_eq                        false
% 0.19/0.43  % --prep_gs_sim                         true
% 0.19/0.43  % --prep_unflatten                      false
% 0.19/0.43  % --prep_res_sim                        true
% 0.19/0.43  % --prep_upred                          true
% 0.19/0.43  % --res_sim_input                       true
% 0.19/0.43  % --clause_weak_htbl                    true
% 0.19/0.43  % --gc_record_bc_elim                   false
% 0.19/0.43  % --symbol_type_check                   false
% 0.19/0.43  % --clausify_out                        false
% 0.19/0.43  % --large_theory_mode                   false
% 0.19/0.43  % --prep_sem_filter                     none
% 0.19/0.43  % --prep_sem_filter_out                 false
% 0.19/0.43  % --preprocessed_out                    false
% 0.19/0.43  % --sub_typing                          false
% 0.19/0.43  % --brand_transform                     false
% 0.19/0.43  % --pure_diseq_elim                     true
% 0.19/0.43  % --min_unsat_core                      false
% 0.19/0.43  % --pred_elim                           true
% 0.19/0.43  % --add_important_lit                   false
% 0.19/0.43  % --soft_assumptions                    false
% 0.19/0.43  % --reset_solvers                       false
% 0.19/0.43  % --bc_imp_inh                          []
% 0.19/0.43  % --conj_cone_tolerance                 1.5
% 0.19/0.43  % --prolific_symb_bound                 500
% 0.19/0.43  % --lt_threshold                        2000
% 0.19/0.43  
% 0.19/0.43  % ------ SAT Options
% 0.19/0.43  
% 0.19/0.43  % --sat_mode                            false
% 0.19/0.43  % --sat_fm_restart_options              ""
% 0.19/0.43  % --sat_gr_def                          false
% 0.19/0.43  % --sat_epr_types                       true
% 0.19/0.43  % --sat_non_cyclic_types                false
% 0.19/0.43  % --sat_finite_models                   false
% 0.19/0.43  % --sat_fm_lemmas                       false
% 0.19/0.43  % --sat_fm_prep                         false
% 0.19/0.43  % --sat_fm_uc_incr                      true
% 0.19/0.43  % --sat_out_model                       small
% 0.19/0.43  % --sat_out_clauses                     false
% 0.19/0.43  
% 0.19/0.43  % ------ QBF Options
% 0.19/0.43  
% 0.19/0.43  % --qbf_mode                            false
% 0.19/0.43  % --qbf_elim_univ                       true
% 0.19/0.43  % --qbf_sk_in                           true
% 0.19/0.43  % --qbf_pred_elim                       true
% 0.19/0.43  % --qbf_split                           32
% 0.19/0.43  
% 0.19/0.43  % ------ BMC1 Options
% 0.19/0.43  
% 0.19/0.43  % --bmc1_incremental                    false
% 0.19/0.43  % --bmc1_axioms                         reachable_all
% 0.19/0.43  % --bmc1_min_bound                      0
% 0.19/0.43  % --bmc1_max_bound                      -1
% 0.19/0.43  % --bmc1_max_bound_default              -1
% 0.19/0.43  % --bmc1_symbol_reachability            true
% 0.19/0.43  % --bmc1_property_lemmas                false
% 0.19/0.43  % --bmc1_k_induction                    false
% 0.19/0.43  % --bmc1_non_equiv_states               false
% 0.19/0.43  % --bmc1_deadlock                       false
% 0.19/0.43  % --bmc1_ucm                            false
% 0.19/0.43  % --bmc1_add_unsat_core                 none
% 0.19/0.43  % --bmc1_unsat_core_children            false
% 0.19/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.43  % --bmc1_out_stat                       full
% 0.19/0.43  % --bmc1_ground_init                    false
% 0.19/0.43  % --bmc1_pre_inst_next_state            false
% 0.19/0.43  % --bmc1_pre_inst_state                 false
% 0.19/0.43  % --bmc1_pre_inst_reach_state           false
% 0.19/0.43  % --bmc1_out_unsat_core                 false
% 0.19/0.43  % --bmc1_aig_witness_out                false
% 0.19/0.43  % --bmc1_verbose                        false
% 0.19/0.43  % --bmc1_dump_clauses_tptp              false
% 0.19/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.43  % --bmc1_dump_file                      -
% 0.19/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.43  % --bmc1_ucm_extend_mode                1
% 0.19/0.43  % --bmc1_ucm_init_mode                  2
% 0.19/0.43  % --bmc1_ucm_cone_mode                  none
% 0.19/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.43  % --bmc1_ucm_relax_model                4
% 0.19/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.43  % --bmc1_ucm_layered_model              none
% 0.19/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.43  
% 0.19/0.43  % ------ AIG Options
% 0.19/0.43  
% 0.19/0.43  % --aig_mode                            false
% 0.19/0.43  
% 0.19/0.43  % ------ Instantiation Options
% 0.19/0.43  
% 0.19/0.43  % --instantiation_flag                  true
% 0.19/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43  % --inst_solver_per_active              750
% 0.19/0.43  % --inst_solver_calls_frac              0.5
% 0.19/0.43  % --inst_passive_queue_type             priority_queues
% 0.19/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43  % --inst_passive_queues_freq            [25;2]
% 0.19/0.43  % --inst_dismatching                    true
% 0.19/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.43  % --inst_prop_sim_given                 true
% 10.21/10.45  % --inst_prop_sim_new                   false
% 10.21/10.45  % --inst_orphan_elimination             true
% 10.21/10.45  % --inst_learning_loop_flag             true
% 10.21/10.45  % --inst_learning_start                 3000
% 10.21/10.45  % --inst_learning_factor                2
% 10.21/10.45  % --inst_start_prop_sim_after_learn     3
% 10.21/10.45  % --inst_sel_renew                      solver
% 10.21/10.45  % --inst_lit_activity_flag              true
% 10.21/10.45  % --inst_out_proof                      true
% 10.21/10.45  
% 10.21/10.45  % ------ Resolution Options
% 10.21/10.45  
% 10.21/10.45  % --resolution_flag                     true
% 10.21/10.45  % --res_lit_sel                         kbo_max
% 10.21/10.45  % --res_to_prop_solver                  none
% 10.21/10.45  % --res_prop_simpl_new                  false
% 10.21/10.45  % --res_prop_simpl_given                false
% 10.21/10.45  % --res_passive_queue_type              priority_queues
% 10.21/10.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 10.21/10.45  % --res_passive_queues_freq             [15;5]
% 10.21/10.45  % --res_forward_subs                    full
% 10.21/10.45  % --res_backward_subs                   full
% 10.21/10.45  % --res_forward_subs_resolution         true
% 10.21/10.45  % --res_backward_subs_resolution        true
% 10.21/10.45  % --res_orphan_elimination              false
% 10.21/10.45  % --res_time_limit                      1000.
% 10.21/10.45  % --res_out_proof                       true
% 10.21/10.45  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7a63a4.s
% 10.21/10.45  % --modulo                              true
% 10.21/10.45  
% 10.21/10.45  % ------ Combination Options
% 10.21/10.45  
% 10.21/10.45  % --comb_res_mult                       1000
% 10.21/10.45  % --comb_inst_mult                      300
% 10.21/10.45  % ------ 
% 10.21/10.45  
% 10.21/10.45  
% 10.21/10.45  
% 10.21/10.45  % ------ Proving...
% 10.21/10.45  % 
% 10.21/10.45  
% 10.21/10.45  
% 10.21/10.45  % ------                             Statistics
% 10.21/10.45  
% 10.21/10.45  % ------ General
% 10.21/10.45  
% 10.21/10.45  % num_of_input_clauses:                 75
% 10.21/10.45  % num_of_input_neg_conjectures:         1
% 10.21/10.45  % num_of_splits:                        0
% 10.21/10.45  % num_of_split_atoms:                   0
% 10.21/10.45  % num_of_sem_filtered_clauses:          0
% 10.21/10.45  % num_of_subtypes:                      0
% 10.21/10.45  % monotx_restored_types:                0
% 10.21/10.45  % sat_num_of_epr_types:                 0
% 10.21/10.45  % sat_num_of_non_cyclic_types:          0
% 10.21/10.45  % sat_guarded_non_collapsed_types:      0
% 10.21/10.45  % is_epr:                               1
% 10.21/10.45  % is_horn:                              0
% 10.21/10.45  % has_eq:                               0
% 10.21/10.45  % num_pure_diseq_elim:                  0
% 10.21/10.45  % simp_replaced_by:                     0
% 10.21/10.45  % res_preprocessed:                     2
% 10.21/10.45  % prep_upred:                           0
% 10.21/10.45  % prep_unflattend:                      0
% 10.21/10.45  % pred_elim_cands:                      0
% 10.21/10.45  % pred_elim:                            0
% 10.21/10.45  % pred_elim_cl:                         0
% 10.21/10.45  % pred_elim_cycles:                     0
% 10.21/10.45  % forced_gc_time:                       0
% 10.21/10.45  % gc_basic_clause_elim:                 0
% 10.21/10.45  % parsing_time:                         0.003
% 10.21/10.45  % sem_filter_time:                      0.
% 10.21/10.45  % pred_elim_time:                       0.
% 10.21/10.45  % out_proof_time:                       0.007
% 10.21/10.45  % monotx_time:                          0.
% 10.21/10.45  % subtype_inf_time:                     0.
% 10.21/10.45  % unif_index_cands_time:                0.008
% 10.21/10.45  % unif_index_add_time:                  0.002
% 10.21/10.45  % total_time:                           10.045
% 10.21/10.45  % num_of_symbols:                       36
% 10.21/10.45  % num_of_terms:                         997
% 10.21/10.45  
% 10.21/10.45  % ------ Propositional Solver
% 10.21/10.45  
% 10.21/10.45  % prop_solver_calls:                    8
% 10.21/10.45  % prop_fast_solver_calls:               9
% 10.21/10.45  % prop_num_of_clauses:                  1194
% 10.21/10.45  % prop_preprocess_simplified:           1757
% 10.21/10.45  % prop_fo_subsumed:                     0
% 10.21/10.45  % prop_solver_time:                     0.
% 10.21/10.45  % prop_fast_solver_time:                0.
% 10.21/10.45  % prop_unsat_core_time:                 0.
% 10.21/10.45  
% 10.21/10.45  % ------ QBF 
% 10.21/10.45  
% 10.21/10.45  % qbf_q_res:                            0
% 10.21/10.45  % qbf_num_tautologies:                  0
% 10.21/10.45  % qbf_prep_cycles:                      0
% 10.21/10.45  
% 10.21/10.45  % ------ BMC1
% 10.21/10.45  
% 10.21/10.45  % bmc1_current_bound:                   -1
% 10.21/10.45  % bmc1_last_solved_bound:               -1
% 10.21/10.45  % bmc1_unsat_core_size:                 -1
% 10.21/10.45  % bmc1_unsat_core_parents_size:         -1
% 10.21/10.45  % bmc1_merge_next_fun:                  0
% 10.21/10.45  % bmc1_unsat_core_clauses_time:         0.
% 10.21/10.45  
% 10.21/10.45  % ------ Instantiation
% 10.21/10.45  
% 10.21/10.45  % inst_num_of_clauses:                  908
% 10.21/10.45  % inst_num_in_passive:                  291
% 10.21/10.45  % inst_num_in_active:                   614
% 10.21/10.45  % inst_num_in_unprocessed:              1
% 10.21/10.45  % inst_num_of_loops:                    753
% 10.21/10.45  % inst_num_of_learning_restarts:        0
% 10.21/10.45  % inst_num_moves_active_passive:        134
% 10.21/10.45  % inst_lit_activity:                    85
% 10.21/10.45  % inst_lit_activity_moves:              0
% 10.21/10.45  % inst_num_tautologies:                 2
% 10.21/10.45  % inst_num_prop_implied:                0
% 10.21/10.45  % inst_num_existing_simplified:         0
% 10.21/10.45  % inst_num_eq_res_simplified:           0
% 10.21/10.45  % inst_num_child_elim:                  0
% 10.21/10.45  % inst_num_of_dismatching_blockings:    461
% 10.21/10.45  % inst_num_of_non_proper_insts:         1744
% 10.21/10.45  % inst_num_of_duplicates:               1632
% 10.21/10.45  % inst_inst_num_from_inst_to_res:       0
% 10.21/10.45  % inst_dismatching_checking_time:       0.
% 10.21/10.45  
% 10.21/10.45  % ------ Resolution
% 10.21/10.45  
% 10.21/10.45  % res_num_of_clauses:                   57606
% 10.21/10.45  % res_num_in_passive:                   58028
% 10.21/10.45  % res_num_in_active:                    874
% 10.21/10.45  % res_num_of_loops:                     3000
% 10.21/10.45  % res_forward_subset_subsumed:          88784
% 10.21/10.45  % res_backward_subset_subsumed:         1527
% 10.21/10.45  % res_forward_subsumed:                 2038
% 10.21/10.45  % res_backward_subsumed:                86
% 10.21/10.45  % res_forward_subsumption_resolution:   240
% 10.21/10.45  % res_backward_subsumption_resolution:  5
% 10.21/10.45  % res_clause_to_clause_subsumption:     205264
% 10.21/10.45  % res_orphan_elimination:               0
% 10.21/10.45  % res_tautology_del:                    10
% 10.21/10.45  % res_num_eq_res_simplified:            0
% 10.21/10.45  % res_num_sel_changes:                  0
% 10.21/10.45  % res_moves_from_active_to_pass:        0
% 10.21/10.45  
% 10.21/10.45  % Status Unsatisfiable
% 10.21/10.45  % SZS status Unsatisfiable
% 10.21/10.45  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------