TSTP Solution File: ALG039+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ALG039+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 17:07:28 EDT 2022

% Result   : Theorem 0.20s 0.46s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(ax6,axiom,
    ( e0 = op(e1,e1)
    & e2 = op(e3,e1) ),
    input ).

fof(ax6_0,plain,
    ( e0 = op(e1,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax6]) ).

fof(ax6_1,plain,
    ( e2 = op(e3,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax6]) ).

fof(ax5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    input ).

fof(ax5_0,plain,
    ( e0 != e1
    | $false ),
    inference(orientation,[status(thm)],[ax5]) ).

fof(ax5_1,plain,
    ( e0 != e2
    | $false ),
    inference(orientation,[status(thm)],[ax5]) ).

fof(ax5_2,plain,
    ( e0 != e3
    | $false ),
    inference(orientation,[status(thm)],[ax5]) ).

fof(ax5_3,plain,
    ( e1 != e2
    | $false ),
    inference(orientation,[status(thm)],[ax5]) ).

fof(ax5_4,plain,
    ( e1 != e3
    | $false ),
    inference(orientation,[status(thm)],[ax5]) ).

fof(ax5_5,plain,
    ( e2 != e3
    | $false ),
    inference(orientation,[status(thm)],[ax5]) ).

fof(ax4,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e2) != op(e3,e3) ),
    input ).

fof(ax4_0,plain,
    ( op(e0,e0) != op(e1,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_1,plain,
    ( op(e0,e0) != op(e2,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_2,plain,
    ( op(e0,e0) != op(e3,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_3,plain,
    ( op(e1,e0) != op(e2,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_4,plain,
    ( op(e1,e0) != op(e3,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_5,plain,
    ( op(e2,e0) != op(e3,e0)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_6,plain,
    ( op(e0,e1) != op(e1,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_7,plain,
    ( op(e0,e1) != op(e2,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_8,plain,
    ( op(e0,e1) != op(e3,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_9,plain,
    ( op(e1,e1) != op(e2,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_10,plain,
    ( op(e1,e1) != op(e3,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_11,plain,
    ( op(e2,e1) != op(e3,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_12,plain,
    ( op(e0,e2) != op(e1,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_13,plain,
    ( op(e0,e2) != op(e2,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_14,plain,
    ( op(e0,e2) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_15,plain,
    ( op(e1,e2) != op(e2,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_16,plain,
    ( op(e1,e2) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_17,plain,
    ( op(e2,e2) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_18,plain,
    ( op(e0,e3) != op(e1,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_19,plain,
    ( op(e0,e3) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_20,plain,
    ( op(e0,e3) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_21,plain,
    ( op(e1,e3) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_22,plain,
    ( op(e1,e3) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_23,plain,
    ( op(e2,e3) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_24,plain,
    ( op(e0,e0) != op(e0,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_25,plain,
    ( op(e0,e0) != op(e0,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_26,plain,
    ( op(e0,e0) != op(e0,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_27,plain,
    ( op(e0,e1) != op(e0,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_28,plain,
    ( op(e0,e1) != op(e0,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_29,plain,
    ( op(e0,e2) != op(e0,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_30,plain,
    ( op(e1,e0) != op(e1,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_31,plain,
    ( op(e1,e0) != op(e1,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_32,plain,
    ( op(e1,e0) != op(e1,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_33,plain,
    ( op(e1,e1) != op(e1,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_34,plain,
    ( op(e1,e1) != op(e1,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_35,plain,
    ( op(e1,e2) != op(e1,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_36,plain,
    ( op(e2,e0) != op(e2,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_37,plain,
    ( op(e2,e0) != op(e2,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_38,plain,
    ( op(e2,e0) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_39,plain,
    ( op(e2,e1) != op(e2,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_40,plain,
    ( op(e2,e1) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_41,plain,
    ( op(e2,e2) != op(e2,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_42,plain,
    ( op(e3,e0) != op(e3,e1)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_43,plain,
    ( op(e3,e0) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_44,plain,
    ( op(e3,e0) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_45,plain,
    ( op(e3,e1) != op(e3,e2)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_46,plain,
    ( op(e3,e1) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(ax4_47,plain,
    ( op(e3,e2) != op(e3,e3)
    | $false ),
    inference(orientation,[status(thm)],[ax4]) ).

fof(def_lhs_atom1,axiom,
    ( lhs_atom1
  <=> op(e3,e2) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ( lhs_atom1
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_47,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ( lhs_atom2
  <=> op(e3,e1) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ( lhs_atom2
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_46,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ( lhs_atom3
  <=> op(e3,e1) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ( lhs_atom3
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_45,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ( lhs_atom4
  <=> op(e3,e0) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_44,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> op(e3,e0) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_43,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ( lhs_atom6
  <=> op(e3,e0) != op(e3,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ( lhs_atom6
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_42,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ( lhs_atom7
  <=> op(e2,e2) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ( lhs_atom7
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_41,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ( lhs_atom8
  <=> op(e2,e1) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ( lhs_atom8
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_40,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ( lhs_atom9
  <=> op(e2,e1) != op(e2,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ( lhs_atom9
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_39,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ( lhs_atom10
  <=> op(e2,e0) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ( lhs_atom10
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_38,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ( lhs_atom11
  <=> op(e2,e0) != op(e2,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ( lhs_atom11
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_37,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ( lhs_atom12
  <=> op(e2,e0) != op(e2,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ( lhs_atom12
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_36,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ( lhs_atom13
  <=> op(e1,e2) != op(e1,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ( lhs_atom13
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_35,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ( lhs_atom14
  <=> op(e1,e1) != op(e1,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ( lhs_atom14
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_34,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ( lhs_atom15
  <=> op(e1,e1) != op(e1,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ( lhs_atom15
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_33,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ( lhs_atom16
  <=> op(e1,e0) != op(e1,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ( lhs_atom16
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_32,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ( lhs_atom17
  <=> op(e1,e0) != op(e1,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ( lhs_atom17
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_31,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ( lhs_atom18
  <=> op(e1,e0) != op(e1,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ( lhs_atom18
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_30,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ( lhs_atom19
  <=> op(e0,e2) != op(e0,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ( lhs_atom19
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_29,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ( lhs_atom20
  <=> op(e0,e1) != op(e0,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ( lhs_atom20
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_28,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ( lhs_atom21
  <=> op(e0,e1) != op(e0,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ( lhs_atom21
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_27,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ( lhs_atom22
  <=> op(e0,e0) != op(e0,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ( lhs_atom22
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_26,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ( lhs_atom23
  <=> op(e0,e0) != op(e0,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ( lhs_atom23
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_25,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ( lhs_atom24
  <=> op(e0,e0) != op(e0,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ( lhs_atom24
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_24,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ( lhs_atom25
  <=> op(e2,e3) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ( lhs_atom25
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_23,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ( lhs_atom26
  <=> op(e1,e3) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ( lhs_atom26
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_22,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ( lhs_atom27
  <=> op(e1,e3) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ( lhs_atom27
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_21,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ( lhs_atom28
  <=> op(e0,e3) != op(e3,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ( lhs_atom28
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_20,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ( lhs_atom29
  <=> op(e0,e3) != op(e2,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ( lhs_atom29
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_19,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ( lhs_atom30
  <=> op(e0,e3) != op(e1,e3) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ( lhs_atom30
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_18,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ( lhs_atom31
  <=> op(e2,e2) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ( lhs_atom31
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_17,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ( lhs_atom32
  <=> op(e1,e2) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ( lhs_atom32
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_16,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ( lhs_atom33
  <=> op(e1,e2) != op(e2,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ( lhs_atom33
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_15,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ( lhs_atom34
  <=> op(e0,e2) != op(e3,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ( lhs_atom34
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_14,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ( lhs_atom35
  <=> op(e0,e2) != op(e2,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ( lhs_atom35
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_13,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ( lhs_atom36
  <=> op(e0,e2) != op(e1,e2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ( lhs_atom36
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_12,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ( lhs_atom37
  <=> op(e2,e1) != op(e3,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ( lhs_atom37
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_11,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ( lhs_atom38
  <=> op(e1,e1) != op(e3,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ( lhs_atom38
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_10,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ( lhs_atom39
  <=> op(e1,e1) != op(e2,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ( lhs_atom39
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_9,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ( lhs_atom40
  <=> op(e0,e1) != op(e3,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ( lhs_atom40
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_8,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ( lhs_atom41
  <=> op(e0,e1) != op(e2,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ( lhs_atom41
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_7,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ( lhs_atom42
  <=> op(e0,e1) != op(e1,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ( lhs_atom42
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_6,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ( lhs_atom43
  <=> op(e2,e0) != op(e3,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ( lhs_atom43
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_5,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ( lhs_atom44
  <=> op(e1,e0) != op(e3,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ( lhs_atom44
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_4,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ( lhs_atom45
  <=> op(e1,e0) != op(e2,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ( lhs_atom45
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_3,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ( lhs_atom46
  <=> op(e0,e0) != op(e3,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ( lhs_atom46
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_2,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ( lhs_atom47
  <=> op(e0,e0) != op(e2,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ( lhs_atom47
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_1,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ( lhs_atom48
  <=> op(e0,e0) != op(e1,e0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ( lhs_atom48
    | $false ),
    inference(fold_definition,[status(thm)],[ax4_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ( lhs_atom49
  <=> e2 != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ( lhs_atom49
    | $false ),
    inference(fold_definition,[status(thm)],[ax5_5,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ( lhs_atom50
  <=> e1 != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ( lhs_atom50
    | $false ),
    inference(fold_definition,[status(thm)],[ax5_4,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ( lhs_atom51
  <=> e1 != e2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ( lhs_atom51
    | $false ),
    inference(fold_definition,[status(thm)],[ax5_3,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ( lhs_atom52
  <=> e0 != e3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_51,plain,
    ( lhs_atom52
    | $false ),
    inference(fold_definition,[status(thm)],[ax5_2,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ( lhs_atom53
  <=> e0 != e2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ( lhs_atom53
    | $false ),
    inference(fold_definition,[status(thm)],[ax5_1,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ( lhs_atom54
  <=> e0 != e1 ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[ax5_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ( lhs_atom55
  <=> e2 = op(e3,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ( lhs_atom55
    | $false ),
    inference(fold_definition,[status(thm)],[ax6_1,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ( lhs_atom56
  <=> e0 = op(e1,e1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_55,plain,
    ( lhs_atom56
    | $false ),
    inference(fold_definition,[status(thm)],[ax6_0,def_lhs_atom56]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ( lhs_atom56
    | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_1,axiom,
    ( lhs_atom55
    | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_2,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_3,axiom,
    ( lhs_atom53
    | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_4,axiom,
    ( lhs_atom52
    | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_5,axiom,
    ( lhs_atom51
    | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_6,axiom,
    ( lhs_atom50
    | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_7,axiom,
    ( lhs_atom49
    | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_8,axiom,
    ( lhs_atom48
    | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_9,axiom,
    ( lhs_atom47
    | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_10,axiom,
    ( lhs_atom46
    | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_11,axiom,
    ( lhs_atom45
    | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_12,axiom,
    ( lhs_atom44
    | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_13,axiom,
    ( lhs_atom43
    | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_14,axiom,
    ( lhs_atom42
    | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_15,axiom,
    ( lhs_atom41
    | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_16,axiom,
    ( lhs_atom40
    | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_17,axiom,
    ( lhs_atom39
    | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_18,axiom,
    ( lhs_atom38
    | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_19,axiom,
    ( lhs_atom37
    | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_20,axiom,
    ( lhs_atom36
    | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_21,axiom,
    ( lhs_atom35
    | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_22,axiom,
    ( lhs_atom34
    | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_23,axiom,
    ( lhs_atom33
    | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_24,axiom,
    ( lhs_atom32
    | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_25,axiom,
    ( lhs_atom31
    | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_26,axiom,
    ( lhs_atom30
    | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_27,axiom,
    ( lhs_atom29
    | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_28,axiom,
    ( lhs_atom28
    | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_29,axiom,
    ( lhs_atom27
    | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_30,axiom,
    ( lhs_atom26
    | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_31,axiom,
    ( lhs_atom25
    | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_32,axiom,
    ( lhs_atom24
    | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_33,axiom,
    ( lhs_atom23
    | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_34,axiom,
    ( lhs_atom22
    | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_35,axiom,
    ( lhs_atom21
    | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_36,axiom,
    ( lhs_atom20
    | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_37,axiom,
    ( lhs_atom19
    | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_38,axiom,
    ( lhs_atom18
    | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_39,axiom,
    ( lhs_atom17
    | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_40,axiom,
    ( lhs_atom16
    | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_41,axiom,
    ( lhs_atom15
    | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_42,axiom,
    ( lhs_atom14
    | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_43,axiom,
    ( lhs_atom13
    | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_44,axiom,
    ( lhs_atom12
    | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_45,axiom,
    ( lhs_atom11
    | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_46,axiom,
    ( lhs_atom10
    | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_47,axiom,
    ( lhs_atom9
    | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_48,axiom,
    ( lhs_atom8
    | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_49,axiom,
    ( lhs_atom7
    | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_50,axiom,
    ( lhs_atom6
    | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_51,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_52,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_53,axiom,
    ( lhs_atom3
    | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_54,axiom,
    ( lhs_atom2
    | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_55,axiom,
    ( lhs_atom1
    | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_56,plain,
    lhs_atom56,
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_57,plain,
    lhs_atom55,
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_58,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_59,plain,
    lhs_atom53,
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_60,plain,
    lhs_atom52,
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_61,plain,
    lhs_atom51,
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_62,plain,
    lhs_atom50,
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_63,plain,
    lhs_atom49,
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_64,plain,
    lhs_atom48,
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_65,plain,
    lhs_atom47,
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_66,plain,
    lhs_atom46,
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_67,plain,
    lhs_atom45,
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_68,plain,
    lhs_atom44,
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_69,plain,
    lhs_atom43,
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_70,plain,
    lhs_atom42,
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_71,plain,
    lhs_atom41,
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_72,plain,
    lhs_atom40,
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_73,plain,
    lhs_atom39,
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_74,plain,
    lhs_atom38,
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_75,plain,
    lhs_atom37,
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_76,plain,
    lhs_atom36,
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_77,plain,
    lhs_atom35,
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_78,plain,
    lhs_atom34,
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_79,plain,
    lhs_atom33,
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_80,plain,
    lhs_atom32,
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_81,plain,
    lhs_atom31,
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_82,plain,
    lhs_atom30,
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_83,plain,
    lhs_atom29,
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_84,plain,
    lhs_atom28,
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_85,plain,
    lhs_atom27,
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_86,plain,
    lhs_atom26,
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_87,plain,
    lhs_atom25,
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_88,plain,
    lhs_atom24,
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_89,plain,
    lhs_atom23,
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_90,plain,
    lhs_atom22,
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_91,plain,
    lhs_atom21,
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_92,plain,
    lhs_atom20,
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_93,plain,
    lhs_atom19,
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_94,plain,
    lhs_atom18,
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_95,plain,
    lhs_atom17,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_96,plain,
    lhs_atom16,
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_97,plain,
    lhs_atom15,
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_98,plain,
    lhs_atom14,
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_99,plain,
    lhs_atom13,
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_100,plain,
    lhs_atom12,
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_101,plain,
    lhs_atom11,
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_102,plain,
    lhs_atom10,
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_103,plain,
    lhs_atom9,
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_104,plain,
    lhs_atom8,
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_105,plain,
    lhs_atom7,
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_106,plain,
    lhs_atom6,
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_107,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_108,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_109,plain,
    lhs_atom3,
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_110,plain,
    lhs_atom2,
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_111,plain,
    lhs_atom1,
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_112,plain,
    lhs_atom56,
    c_0_56 ).

fof(c_0_113,plain,
    lhs_atom55,
    c_0_57 ).

fof(c_0_114,plain,
    lhs_atom54,
    c_0_58 ).

fof(c_0_115,plain,
    lhs_atom53,
    c_0_59 ).

fof(c_0_116,plain,
    lhs_atom52,
    c_0_60 ).

fof(c_0_117,plain,
    lhs_atom51,
    c_0_61 ).

fof(c_0_118,plain,
    lhs_atom50,
    c_0_62 ).

fof(c_0_119,plain,
    lhs_atom49,
    c_0_63 ).

fof(c_0_120,plain,
    lhs_atom48,
    c_0_64 ).

fof(c_0_121,plain,
    lhs_atom47,
    c_0_65 ).

fof(c_0_122,plain,
    lhs_atom46,
    c_0_66 ).

fof(c_0_123,plain,
    lhs_atom45,
    c_0_67 ).

fof(c_0_124,plain,
    lhs_atom44,
    c_0_68 ).

fof(c_0_125,plain,
    lhs_atom43,
    c_0_69 ).

fof(c_0_126,plain,
    lhs_atom42,
    c_0_70 ).

fof(c_0_127,plain,
    lhs_atom41,
    c_0_71 ).

fof(c_0_128,plain,
    lhs_atom40,
    c_0_72 ).

fof(c_0_129,plain,
    lhs_atom39,
    c_0_73 ).

fof(c_0_130,plain,
    lhs_atom38,
    c_0_74 ).

fof(c_0_131,plain,
    lhs_atom37,
    c_0_75 ).

fof(c_0_132,plain,
    lhs_atom36,
    c_0_76 ).

fof(c_0_133,plain,
    lhs_atom35,
    c_0_77 ).

fof(c_0_134,plain,
    lhs_atom34,
    c_0_78 ).

fof(c_0_135,plain,
    lhs_atom33,
    c_0_79 ).

fof(c_0_136,plain,
    lhs_atom32,
    c_0_80 ).

fof(c_0_137,plain,
    lhs_atom31,
    c_0_81 ).

fof(c_0_138,plain,
    lhs_atom30,
    c_0_82 ).

fof(c_0_139,plain,
    lhs_atom29,
    c_0_83 ).

fof(c_0_140,plain,
    lhs_atom28,
    c_0_84 ).

fof(c_0_141,plain,
    lhs_atom27,
    c_0_85 ).

fof(c_0_142,plain,
    lhs_atom26,
    c_0_86 ).

fof(c_0_143,plain,
    lhs_atom25,
    c_0_87 ).

fof(c_0_144,plain,
    lhs_atom24,
    c_0_88 ).

fof(c_0_145,plain,
    lhs_atom23,
    c_0_89 ).

fof(c_0_146,plain,
    lhs_atom22,
    c_0_90 ).

fof(c_0_147,plain,
    lhs_atom21,
    c_0_91 ).

fof(c_0_148,plain,
    lhs_atom20,
    c_0_92 ).

fof(c_0_149,plain,
    lhs_atom19,
    c_0_93 ).

fof(c_0_150,plain,
    lhs_atom18,
    c_0_94 ).

fof(c_0_151,plain,
    lhs_atom17,
    c_0_95 ).

fof(c_0_152,plain,
    lhs_atom16,
    c_0_96 ).

fof(c_0_153,plain,
    lhs_atom15,
    c_0_97 ).

fof(c_0_154,plain,
    lhs_atom14,
    c_0_98 ).

fof(c_0_155,plain,
    lhs_atom13,
    c_0_99 ).

fof(c_0_156,plain,
    lhs_atom12,
    c_0_100 ).

fof(c_0_157,plain,
    lhs_atom11,
    c_0_101 ).

fof(c_0_158,plain,
    lhs_atom10,
    c_0_102 ).

fof(c_0_159,plain,
    lhs_atom9,
    c_0_103 ).

fof(c_0_160,plain,
    lhs_atom8,
    c_0_104 ).

fof(c_0_161,plain,
    lhs_atom7,
    c_0_105 ).

fof(c_0_162,plain,
    lhs_atom6,
    c_0_106 ).

fof(c_0_163,plain,
    lhs_atom5,
    c_0_107 ).

fof(c_0_164,plain,
    lhs_atom4,
    c_0_108 ).

fof(c_0_165,plain,
    lhs_atom3,
    c_0_109 ).

fof(c_0_166,plain,
    lhs_atom2,
    c_0_110 ).

fof(c_0_167,plain,
    lhs_atom1,
    c_0_111 ).

cnf(c_0_168,plain,
    lhs_atom56,
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_169,plain,
    lhs_atom55,
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_170,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_171,plain,
    lhs_atom53,
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_172,plain,
    lhs_atom52,
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_173,plain,
    lhs_atom51,
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_174,plain,
    lhs_atom50,
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_175,plain,
    lhs_atom49,
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_176,plain,
    lhs_atom48,
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_177,plain,
    lhs_atom47,
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_178,plain,
    lhs_atom46,
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_179,plain,
    lhs_atom45,
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_180,plain,
    lhs_atom44,
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_181,plain,
    lhs_atom43,
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_182,plain,
    lhs_atom42,
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_183,plain,
    lhs_atom41,
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_184,plain,
    lhs_atom40,
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_185,plain,
    lhs_atom39,
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_186,plain,
    lhs_atom38,
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_187,plain,
    lhs_atom37,
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_188,plain,
    lhs_atom36,
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_189,plain,
    lhs_atom35,
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_190,plain,
    lhs_atom34,
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_191,plain,
    lhs_atom33,
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_192,plain,
    lhs_atom32,
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_193,plain,
    lhs_atom31,
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_194,plain,
    lhs_atom30,
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_195,plain,
    lhs_atom29,
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_196,plain,
    lhs_atom28,
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_197,plain,
    lhs_atom27,
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_198,plain,
    lhs_atom26,
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_199,plain,
    lhs_atom25,
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_200,plain,
    lhs_atom24,
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_201,plain,
    lhs_atom23,
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_202,plain,
    lhs_atom22,
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_203,plain,
    lhs_atom21,
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_204,plain,
    lhs_atom20,
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_205,plain,
    lhs_atom19,
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_206,plain,
    lhs_atom18,
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_207,plain,
    lhs_atom17,
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_208,plain,
    lhs_atom16,
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_209,plain,
    lhs_atom15,
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_210,plain,
    lhs_atom14,
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_211,plain,
    lhs_atom13,
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_212,plain,
    lhs_atom12,
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_213,plain,
    lhs_atom11,
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_214,plain,
    lhs_atom10,
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_215,plain,
    lhs_atom9,
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_216,plain,
    lhs_atom8,
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_217,plain,
    lhs_atom7,
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_218,plain,
    lhs_atom6,
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_219,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_220,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_221,plain,
    lhs_atom3,
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_222,plain,
    lhs_atom2,
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_223,plain,
    lhs_atom1,
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_224,plain,
    lhs_atom56,
    c_0_168,
    [final] ).

cnf(c_0_225,plain,
    lhs_atom55,
    c_0_169,
    [final] ).

cnf(c_0_226,plain,
    lhs_atom54,
    c_0_170,
    [final] ).

cnf(c_0_227,plain,
    lhs_atom53,
    c_0_171,
    [final] ).

cnf(c_0_228,plain,
    lhs_atom52,
    c_0_172,
    [final] ).

cnf(c_0_229,plain,
    lhs_atom51,
    c_0_173,
    [final] ).

cnf(c_0_230,plain,
    lhs_atom50,
    c_0_174,
    [final] ).

cnf(c_0_231,plain,
    lhs_atom49,
    c_0_175,
    [final] ).

cnf(c_0_232,plain,
    lhs_atom48,
    c_0_176,
    [final] ).

cnf(c_0_233,plain,
    lhs_atom47,
    c_0_177,
    [final] ).

cnf(c_0_234,plain,
    lhs_atom46,
    c_0_178,
    [final] ).

cnf(c_0_235,plain,
    lhs_atom45,
    c_0_179,
    [final] ).

cnf(c_0_236,plain,
    lhs_atom44,
    c_0_180,
    [final] ).

cnf(c_0_237,plain,
    lhs_atom43,
    c_0_181,
    [final] ).

cnf(c_0_238,plain,
    lhs_atom42,
    c_0_182,
    [final] ).

cnf(c_0_239,plain,
    lhs_atom41,
    c_0_183,
    [final] ).

cnf(c_0_240,plain,
    lhs_atom40,
    c_0_184,
    [final] ).

cnf(c_0_241,plain,
    lhs_atom39,
    c_0_185,
    [final] ).

cnf(c_0_242,plain,
    lhs_atom38,
    c_0_186,
    [final] ).

cnf(c_0_243,plain,
    lhs_atom37,
    c_0_187,
    [final] ).

cnf(c_0_244,plain,
    lhs_atom36,
    c_0_188,
    [final] ).

cnf(c_0_245,plain,
    lhs_atom35,
    c_0_189,
    [final] ).

cnf(c_0_246,plain,
    lhs_atom34,
    c_0_190,
    [final] ).

cnf(c_0_247,plain,
    lhs_atom33,
    c_0_191,
    [final] ).

cnf(c_0_248,plain,
    lhs_atom32,
    c_0_192,
    [final] ).

cnf(c_0_249,plain,
    lhs_atom31,
    c_0_193,
    [final] ).

cnf(c_0_250,plain,
    lhs_atom30,
    c_0_194,
    [final] ).

cnf(c_0_251,plain,
    lhs_atom29,
    c_0_195,
    [final] ).

cnf(c_0_252,plain,
    lhs_atom28,
    c_0_196,
    [final] ).

cnf(c_0_253,plain,
    lhs_atom27,
    c_0_197,
    [final] ).

cnf(c_0_254,plain,
    lhs_atom26,
    c_0_198,
    [final] ).

cnf(c_0_255,plain,
    lhs_atom25,
    c_0_199,
    [final] ).

cnf(c_0_256,plain,
    lhs_atom24,
    c_0_200,
    [final] ).

cnf(c_0_257,plain,
    lhs_atom23,
    c_0_201,
    [final] ).

cnf(c_0_258,plain,
    lhs_atom22,
    c_0_202,
    [final] ).

cnf(c_0_259,plain,
    lhs_atom21,
    c_0_203,
    [final] ).

cnf(c_0_260,plain,
    lhs_atom20,
    c_0_204,
    [final] ).

cnf(c_0_261,plain,
    lhs_atom19,
    c_0_205,
    [final] ).

cnf(c_0_262,plain,
    lhs_atom18,
    c_0_206,
    [final] ).

cnf(c_0_263,plain,
    lhs_atom17,
    c_0_207,
    [final] ).

cnf(c_0_264,plain,
    lhs_atom16,
    c_0_208,
    [final] ).

cnf(c_0_265,plain,
    lhs_atom15,
    c_0_209,
    [final] ).

cnf(c_0_266,plain,
    lhs_atom14,
    c_0_210,
    [final] ).

cnf(c_0_267,plain,
    lhs_atom13,
    c_0_211,
    [final] ).

cnf(c_0_268,plain,
    lhs_atom12,
    c_0_212,
    [final] ).

cnf(c_0_269,plain,
    lhs_atom11,
    c_0_213,
    [final] ).

cnf(c_0_270,plain,
    lhs_atom10,
    c_0_214,
    [final] ).

cnf(c_0_271,plain,
    lhs_atom9,
    c_0_215,
    [final] ).

cnf(c_0_272,plain,
    lhs_atom8,
    c_0_216,
    [final] ).

cnf(c_0_273,plain,
    lhs_atom7,
    c_0_217,
    [final] ).

cnf(c_0_274,plain,
    lhs_atom6,
    c_0_218,
    [final] ).

cnf(c_0_275,plain,
    lhs_atom5,
    c_0_219,
    [final] ).

cnf(c_0_276,plain,
    lhs_atom4,
    c_0_220,
    [final] ).

cnf(c_0_277,plain,
    lhs_atom3,
    c_0_221,
    [final] ).

cnf(c_0_278,plain,
    lhs_atom2,
    c_0_222,
    [final] ).

cnf(c_0_279,plain,
    lhs_atom1,
    c_0_223,
    [final] ).

% End CNF derivation
cnf(c_0_224_0,axiom,
    e0 = op(e1,e1),
    inference(unfold_definition,[status(thm)],[c_0_224,def_lhs_atom56]) ).

cnf(c_0_225_0,axiom,
    e2 = op(e3,e1),
    inference(unfold_definition,[status(thm)],[c_0_225,def_lhs_atom55]) ).

cnf(c_0_226_0,axiom,
    e0 != e1,
    inference(unfold_definition,[status(thm)],[c_0_226,def_lhs_atom54]) ).

cnf(c_0_227_0,axiom,
    e0 != e2,
    inference(unfold_definition,[status(thm)],[c_0_227,def_lhs_atom53]) ).

cnf(c_0_228_0,axiom,
    e0 != e3,
    inference(unfold_definition,[status(thm)],[c_0_228,def_lhs_atom52]) ).

cnf(c_0_229_0,axiom,
    e1 != e2,
    inference(unfold_definition,[status(thm)],[c_0_229,def_lhs_atom51]) ).

cnf(c_0_230_0,axiom,
    e1 != e3,
    inference(unfold_definition,[status(thm)],[c_0_230,def_lhs_atom50]) ).

cnf(c_0_231_0,axiom,
    e2 != e3,
    inference(unfold_definition,[status(thm)],[c_0_231,def_lhs_atom49]) ).

cnf(c_0_232_0,axiom,
    op(e0,e0) != op(e1,e0),
    inference(unfold_definition,[status(thm)],[c_0_232,def_lhs_atom48]) ).

cnf(c_0_233_0,axiom,
    op(e0,e0) != op(e2,e0),
    inference(unfold_definition,[status(thm)],[c_0_233,def_lhs_atom47]) ).

cnf(c_0_234_0,axiom,
    op(e0,e0) != op(e3,e0),
    inference(unfold_definition,[status(thm)],[c_0_234,def_lhs_atom46]) ).

cnf(c_0_235_0,axiom,
    op(e1,e0) != op(e2,e0),
    inference(unfold_definition,[status(thm)],[c_0_235,def_lhs_atom45]) ).

cnf(c_0_236_0,axiom,
    op(e1,e0) != op(e3,e0),
    inference(unfold_definition,[status(thm)],[c_0_236,def_lhs_atom44]) ).

cnf(c_0_237_0,axiom,
    op(e2,e0) != op(e3,e0),
    inference(unfold_definition,[status(thm)],[c_0_237,def_lhs_atom43]) ).

cnf(c_0_238_0,axiom,
    op(e0,e1) != op(e1,e1),
    inference(unfold_definition,[status(thm)],[c_0_238,def_lhs_atom42]) ).

cnf(c_0_239_0,axiom,
    op(e0,e1) != op(e2,e1),
    inference(unfold_definition,[status(thm)],[c_0_239,def_lhs_atom41]) ).

cnf(c_0_240_0,axiom,
    op(e0,e1) != op(e3,e1),
    inference(unfold_definition,[status(thm)],[c_0_240,def_lhs_atom40]) ).

cnf(c_0_241_0,axiom,
    op(e1,e1) != op(e2,e1),
    inference(unfold_definition,[status(thm)],[c_0_241,def_lhs_atom39]) ).

cnf(c_0_242_0,axiom,
    op(e1,e1) != op(e3,e1),
    inference(unfold_definition,[status(thm)],[c_0_242,def_lhs_atom38]) ).

cnf(c_0_243_0,axiom,
    op(e2,e1) != op(e3,e1),
    inference(unfold_definition,[status(thm)],[c_0_243,def_lhs_atom37]) ).

cnf(c_0_244_0,axiom,
    op(e0,e2) != op(e1,e2),
    inference(unfold_definition,[status(thm)],[c_0_244,def_lhs_atom36]) ).

cnf(c_0_245_0,axiom,
    op(e0,e2) != op(e2,e2),
    inference(unfold_definition,[status(thm)],[c_0_245,def_lhs_atom35]) ).

cnf(c_0_246_0,axiom,
    op(e0,e2) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_246,def_lhs_atom34]) ).

cnf(c_0_247_0,axiom,
    op(e1,e2) != op(e2,e2),
    inference(unfold_definition,[status(thm)],[c_0_247,def_lhs_atom33]) ).

cnf(c_0_248_0,axiom,
    op(e1,e2) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_248,def_lhs_atom32]) ).

cnf(c_0_249_0,axiom,
    op(e2,e2) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_249,def_lhs_atom31]) ).

cnf(c_0_250_0,axiom,
    op(e0,e3) != op(e1,e3),
    inference(unfold_definition,[status(thm)],[c_0_250,def_lhs_atom30]) ).

cnf(c_0_251_0,axiom,
    op(e0,e3) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_251,def_lhs_atom29]) ).

cnf(c_0_252_0,axiom,
    op(e0,e3) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_252,def_lhs_atom28]) ).

cnf(c_0_253_0,axiom,
    op(e1,e3) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_253,def_lhs_atom27]) ).

cnf(c_0_254_0,axiom,
    op(e1,e3) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_254,def_lhs_atom26]) ).

cnf(c_0_255_0,axiom,
    op(e2,e3) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_255,def_lhs_atom25]) ).

cnf(c_0_256_0,axiom,
    op(e0,e0) != op(e0,e1),
    inference(unfold_definition,[status(thm)],[c_0_256,def_lhs_atom24]) ).

cnf(c_0_257_0,axiom,
    op(e0,e0) != op(e0,e2),
    inference(unfold_definition,[status(thm)],[c_0_257,def_lhs_atom23]) ).

cnf(c_0_258_0,axiom,
    op(e0,e0) != op(e0,e3),
    inference(unfold_definition,[status(thm)],[c_0_258,def_lhs_atom22]) ).

cnf(c_0_259_0,axiom,
    op(e0,e1) != op(e0,e2),
    inference(unfold_definition,[status(thm)],[c_0_259,def_lhs_atom21]) ).

cnf(c_0_260_0,axiom,
    op(e0,e1) != op(e0,e3),
    inference(unfold_definition,[status(thm)],[c_0_260,def_lhs_atom20]) ).

cnf(c_0_261_0,axiom,
    op(e0,e2) != op(e0,e3),
    inference(unfold_definition,[status(thm)],[c_0_261,def_lhs_atom19]) ).

cnf(c_0_262_0,axiom,
    op(e1,e0) != op(e1,e1),
    inference(unfold_definition,[status(thm)],[c_0_262,def_lhs_atom18]) ).

cnf(c_0_263_0,axiom,
    op(e1,e0) != op(e1,e2),
    inference(unfold_definition,[status(thm)],[c_0_263,def_lhs_atom17]) ).

cnf(c_0_264_0,axiom,
    op(e1,e0) != op(e1,e3),
    inference(unfold_definition,[status(thm)],[c_0_264,def_lhs_atom16]) ).

cnf(c_0_265_0,axiom,
    op(e1,e1) != op(e1,e2),
    inference(unfold_definition,[status(thm)],[c_0_265,def_lhs_atom15]) ).

cnf(c_0_266_0,axiom,
    op(e1,e1) != op(e1,e3),
    inference(unfold_definition,[status(thm)],[c_0_266,def_lhs_atom14]) ).

cnf(c_0_267_0,axiom,
    op(e1,e2) != op(e1,e3),
    inference(unfold_definition,[status(thm)],[c_0_267,def_lhs_atom13]) ).

cnf(c_0_268_0,axiom,
    op(e2,e0) != op(e2,e1),
    inference(unfold_definition,[status(thm)],[c_0_268,def_lhs_atom12]) ).

cnf(c_0_269_0,axiom,
    op(e2,e0) != op(e2,e2),
    inference(unfold_definition,[status(thm)],[c_0_269,def_lhs_atom11]) ).

cnf(c_0_270_0,axiom,
    op(e2,e0) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_270,def_lhs_atom10]) ).

cnf(c_0_271_0,axiom,
    op(e2,e1) != op(e2,e2),
    inference(unfold_definition,[status(thm)],[c_0_271,def_lhs_atom9]) ).

cnf(c_0_272_0,axiom,
    op(e2,e1) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_272,def_lhs_atom8]) ).

cnf(c_0_273_0,axiom,
    op(e2,e2) != op(e2,e3),
    inference(unfold_definition,[status(thm)],[c_0_273,def_lhs_atom7]) ).

cnf(c_0_274_0,axiom,
    op(e3,e0) != op(e3,e1),
    inference(unfold_definition,[status(thm)],[c_0_274,def_lhs_atom6]) ).

cnf(c_0_275_0,axiom,
    op(e3,e0) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_275,def_lhs_atom5]) ).

cnf(c_0_276_0,axiom,
    op(e3,e0) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_276,def_lhs_atom4]) ).

cnf(c_0_277_0,axiom,
    op(e3,e1) != op(e3,e2),
    inference(unfold_definition,[status(thm)],[c_0_277,def_lhs_atom3]) ).

cnf(c_0_278_0,axiom,
    op(e3,e1) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_278,def_lhs_atom2]) ).

cnf(c_0_279_0,axiom,
    op(e3,e2) != op(e3,e3),
    inference(unfold_definition,[status(thm)],[c_0_279,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    file('<stdin>',ax1) ).

fof(c_0_1_002,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3 ) ),
    file('<stdin>',ax3) ).

fof(c_0_2_003,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3 ) ),
    file('<stdin>',ax2) ).

fof(c_0_3_004,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    c_0_0 ).

fof(c_0_4_005,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3 ) ),
    c_0_1 ).

fof(c_0_5_006,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3 ) ),
    c_0_2 ).

fof(c_0_6_007,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3 ) ),
    c_0_3 ).

fof(c_0_7_008,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3 ) ),
    c_0_4 ).

fof(c_0_8_009,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3 ) ),
    c_0_5 ).

cnf(c_0_9_010,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10_011,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11_012,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12_013,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13_014,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14_015,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15_016,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16_017,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17_018,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_18_019,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19_020,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20_021,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21_022,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22_023,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_23_024,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24_025,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25_026,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_26_027,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27_028,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_28_029,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_29_030,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_30_031,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_31_032,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e1) = e3
    | op(e0,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_32_033,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_33_034,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_34_035,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_35_036,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e1
    | op(e1,e1) = e1
    | op(e1,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_36_037,plain,
    ( op(e3,e1) = e1
    | op(e2,e1) = e1
    | op(e1,e1) = e1
    | op(e0,e1) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_37_038,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e1) = e2
    | op(e1,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_38_039,plain,
    ( op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e1,e1) = e2
    | op(e0,e1) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_39_040,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_40_041,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_41_042,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_42_043,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e1,e2) = e0
    | op(e0,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_43_044,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e1) = e1
    | op(e2,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_44_045,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e1,e2) = e1
    | op(e0,e2) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_45_046,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e1) = e2
    | op(e2,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_46_047,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e1,e2) = e2
    | op(e0,e2) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_47_048,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_48_049,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e2) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_49_050,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_50_051,plain,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e1,e3) = e0
    | op(e0,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_51_052,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e1) = e1
    | op(e3,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_52_053,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_53_054,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e1) = e2
    | op(e3,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_54_055,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_55_056,plain,
    ( op(e3,e3) = e3
    | op(e3,e2) = e3
    | op(e3,e1) = e3
    | op(e3,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_56_057,plain,
    ( op(e3,e3) = e3
    | op(e2,e3) = e3
    | op(e1,e3) = e3
    | op(e0,e3) = e3 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_57_058,plain,
    op(unit,e0) = e0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_58_059,plain,
    op(e0,unit) = e0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_59_060,plain,
    op(unit,e1) = e1,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_60_061,plain,
    op(e1,unit) = e1,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_61_062,plain,
    op(unit,e2) = e2,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_62_063,plain,
    op(e2,unit) = e2,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_63_064,plain,
    op(unit,e3) = e3,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_64_065,plain,
    op(e3,unit) = e3,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_65_066,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_66_067,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    c_0_9,
    [final] ).

cnf(c_0_67_068,plain,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    c_0_10,
    [final] ).

cnf(c_0_68_069,plain,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    c_0_11,
    [final] ).

cnf(c_0_69_070,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    c_0_12,
    [final] ).

cnf(c_0_70_071,plain,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    c_0_13,
    [final] ).

cnf(c_0_71_072,plain,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    c_0_14,
    [final] ).

cnf(c_0_72_073,plain,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    c_0_15,
    [final] ).

cnf(c_0_73_074,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    c_0_16,
    [final] ).

cnf(c_0_74_075,plain,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    c_0_17,
    [final] ).

cnf(c_0_75_076,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    c_0_18,
    [final] ).

cnf(c_0_76_077,plain,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    c_0_19,
    [final] ).

cnf(c_0_77_078,plain,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    c_0_20,
    [final] ).

cnf(c_0_78_079,plain,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    c_0_21,
    [final] ).

cnf(c_0_79_080,plain,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    c_0_22,
    [final] ).

cnf(c_0_80_081,plain,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    c_0_23,
    [final] ).

cnf(c_0_81_082,plain,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    c_0_24,
    [final] ).

cnf(c_0_82_083,plain,
    ( op(e0,e3) = e0
    | op(e0,e2) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e0 ),
    c_0_25,
    [final] ).

cnf(c_0_83_084,plain,
    ( op(e3,e0) = e0
    | op(e2,e0) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e0 ),
    c_0_26,
    [final] ).

cnf(c_0_84_085,plain,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e1 ),
    c_0_27,
    [final] ).

cnf(c_0_85_086,plain,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1 ),
    c_0_28,
    [final] ).

cnf(c_0_86_087,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2 ),
    c_0_29,
    [final] ).

cnf(c_0_87_088,plain,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2 ),
    c_0_30,
    [final] ).

cnf(c_0_88_089,plain,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e1) = e3
    | op(e0,e0) = e3 ),
    c_0_31,
    [final] ).

cnf(c_0_89_090,plain,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3 ),
    c_0_32,
    [final] ).

cnf(c_0_90_091,plain,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e0) = e0 ),
    c_0_33,
    [final] ).

cnf(c_0_91_092,plain,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e1) = e0 ),
    c_0_34,
    [final] ).

cnf(c_0_92_093,plain,
    ( op(e1,e3) = e1
    | op(e1,e2) = e1
    | op(e1,e1) = e1
    | op(e1,e0) = e1 ),
    c_0_35,
    [final] ).

cnf(c_0_93_094,plain,
    ( op(e3,e1) = e1
    | op(e2,e1) = e1
    | op(e1,e1) = e1
    | op(e0,e1) = e1 ),
    c_0_36,
    [final] ).

cnf(c_0_94_095,plain,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e1) = e2
    | op(e1,e0) = e2 ),
    c_0_37,
    [final] ).

cnf(c_0_95_096,plain,
    ( op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e1,e1) = e2
    | op(e0,e1) = e2 ),
    c_0_38,
    [final] ).

cnf(c_0_96_097,plain,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3 ),
    c_0_39,
    [final] ).

cnf(c_0_97_098,plain,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3 ),
    c_0_40,
    [final] ).

cnf(c_0_98_099,plain,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e0) = e0 ),
    c_0_41,
    [final] ).

cnf(c_0_99_100,plain,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e1,e2) = e0
    | op(e0,e2) = e0 ),
    c_0_42,
    [final] ).

cnf(c_0_100_101,plain,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e1) = e1
    | op(e2,e0) = e1 ),
    c_0_43,
    [final] ).

cnf(c_0_101_102,plain,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e1,e2) = e1
    | op(e0,e2) = e1 ),
    c_0_44,
    [final] ).

cnf(c_0_102_103,plain,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e1) = e2
    | op(e2,e0) = e2 ),
    c_0_45,
    [final] ).

cnf(c_0_103_104,plain,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e1,e2) = e2
    | op(e0,e2) = e2 ),
    c_0_46,
    [final] ).

cnf(c_0_104_105,plain,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3 ),
    c_0_47,
    [final] ).

cnf(c_0_105_106,plain,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e2) = e3 ),
    c_0_48,
    [final] ).

cnf(c_0_106_107,plain,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0 ),
    c_0_49,
    [final] ).

cnf(c_0_107_108,plain,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e1,e3) = e0
    | op(e0,e3) = e0 ),
    c_0_50,
    [final] ).

cnf(c_0_108_109,plain,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e1) = e1
    | op(e3,e0) = e1 ),
    c_0_51,
    [final] ).

cnf(c_0_109_110,plain,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    c_0_52,
    [final] ).

cnf(c_0_110_111,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e1) = e2
    | op(e3,e0) = e2 ),
    c_0_53,
    [final] ).

cnf(c_0_111_112,plain,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2 ),
    c_0_54,
    [final] ).

cnf(c_0_112_113,plain,
    ( op(e3,e3) = e3
    | op(e3,e2) = e3
    | op(e3,e1) = e3
    | op(e3,e0) = e3 ),
    c_0_55,
    [final] ).

cnf(c_0_113_114,plain,
    ( op(e3,e3) = e3
    | op(e2,e3) = e3
    | op(e1,e3) = e3
    | op(e0,e3) = e3 ),
    c_0_56,
    [final] ).

cnf(c_0_114_115,plain,
    op(unit,e0) = e0,
    c_0_57,
    [final] ).

cnf(c_0_115_116,plain,
    op(e0,unit) = e0,
    c_0_58,
    [final] ).

cnf(c_0_116_117,plain,
    op(unit,e1) = e1,
    c_0_59,
    [final] ).

cnf(c_0_117_118,plain,
    op(e1,unit) = e1,
    c_0_60,
    [final] ).

cnf(c_0_118_119,plain,
    op(unit,e2) = e2,
    c_0_61,
    [final] ).

cnf(c_0_119_120,plain,
    op(e2,unit) = e2,
    c_0_62,
    [final] ).

cnf(c_0_120_121,plain,
    op(unit,e3) = e3,
    c_0_63,
    [final] ).

cnf(c_0_121_122,plain,
    op(e3,unit) = e3,
    c_0_64,
    [final] ).

cnf(c_0_122_123,plain,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    c_0_65,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_66_0,axiom,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_66]) ).

cnf(c_0_66_1,axiom,
    ( op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_66]) ).

cnf(c_0_66_2,axiom,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_66]) ).

cnf(c_0_66_3,axiom,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_66]) ).

cnf(c_0_67_0,axiom,
    ( op(e0,e1) = e3
    | op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_67]) ).

cnf(c_0_67_1,axiom,
    ( op(e0,e1) = e2
    | op(e0,e1) = e3
    | op(e0,e1) = e1
    | op(e0,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_67]) ).

cnf(c_0_67_2,axiom,
    ( op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3
    | op(e0,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_67]) ).

cnf(c_0_67_3,axiom,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_67]) ).

cnf(c_0_68_0,axiom,
    ( op(e0,e2) = e3
    | op(e0,e2) = e2
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_68_1,axiom,
    ( op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e1
    | op(e0,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_68_2,axiom,
    ( op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3
    | op(e0,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_68_3,axiom,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_69_0,axiom,
    ( op(e0,e3) = e3
    | op(e0,e3) = e2
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_69_1,axiom,
    ( op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_69_2,axiom,
    ( op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_69_3,axiom,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_70_0,axiom,
    ( op(e1,e0) = e3
    | op(e1,e0) = e2
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_70_1,axiom,
    ( op(e1,e0) = e2
    | op(e1,e0) = e3
    | op(e1,e0) = e1
    | op(e1,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_70_2,axiom,
    ( op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3
    | op(e1,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_70_3,axiom,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_71_0,axiom,
    ( op(e1,e1) = e3
    | op(e1,e1) = e2
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_1,axiom,
    ( op(e1,e1) = e2
    | op(e1,e1) = e3
    | op(e1,e1) = e1
    | op(e1,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_2,axiom,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | op(e1,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_3,axiom,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_72_0,axiom,
    ( op(e1,e2) = e3
    | op(e1,e2) = e2
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_1,axiom,
    ( op(e1,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e2) = e1
    | op(e1,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_2,axiom,
    ( op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3
    | op(e1,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_3,axiom,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_73_0,axiom,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_1,axiom,
    ( op(e1,e3) = e2
    | op(e1,e3) = e3
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_2,axiom,
    ( op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3
    | op(e1,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_3,axiom,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_74_0,axiom,
    ( op(e2,e0) = e3
    | op(e2,e0) = e2
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_1,axiom,
    ( op(e2,e0) = e2
    | op(e2,e0) = e3
    | op(e2,e0) = e1
    | op(e2,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_2,axiom,
    ( op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3
    | op(e2,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_3,axiom,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_75_0,axiom,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_75_1,axiom,
    ( op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_75_2,axiom,
    ( op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3
    | op(e2,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_75_3,axiom,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_76_0,axiom,
    ( op(e2,e2) = e3
    | op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_76_1,axiom,
    ( op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e1
    | op(e2,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_76_2,axiom,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | op(e2,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_76_3,axiom,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_77_0,axiom,
    ( op(e2,e3) = e3
    | op(e2,e3) = e2
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_77_1,axiom,
    ( op(e2,e3) = e2
    | op(e2,e3) = e3
    | op(e2,e3) = e1
    | op(e2,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_77_2,axiom,
    ( op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3
    | op(e2,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_77_3,axiom,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_78_0,axiom,
    ( op(e3,e0) = e3
    | op(e3,e0) = e2
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_1,axiom,
    ( op(e3,e0) = e2
    | op(e3,e0) = e3
    | op(e3,e0) = e1
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_2,axiom,
    ( op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_3,axiom,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_79_0,axiom,
    ( op(e3,e1) = e3
    | op(e3,e1) = e2
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_79_1,axiom,
    ( op(e3,e1) = e2
    | op(e3,e1) = e3
    | op(e3,e1) = e1
    | op(e3,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_79_2,axiom,
    ( op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3
    | op(e3,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_79_3,axiom,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_80_0,axiom,
    ( op(e3,e2) = e3
    | op(e3,e2) = e2
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_80_1,axiom,
    ( op(e3,e2) = e2
    | op(e3,e2) = e3
    | op(e3,e2) = e1
    | op(e3,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_80_2,axiom,
    ( op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3
    | op(e3,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_80_3,axiom,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_81_0,axiom,
    ( op(e3,e3) = e3
    | op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_81_1,axiom,
    ( op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_81_2,axiom,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | op(e3,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_81_3,axiom,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_82_0,axiom,
    ( op(e0,e3) = e0
    | op(e0,e2) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_1,axiom,
    ( op(e0,e2) = e0
    | op(e0,e3) = e0
    | op(e0,e1) = e0
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_2,axiom,
    ( op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_3,axiom,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_83_0,axiom,
    ( op(e3,e0) = e0
    | op(e2,e0) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_83_1,axiom,
    ( op(e2,e0) = e0
    | op(e3,e0) = e0
    | op(e1,e0) = e0
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_83_2,axiom,
    ( op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0
    | op(e0,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_83_3,axiom,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_84_0,axiom,
    ( op(e0,e3) = e1
    | op(e0,e2) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_84_1,axiom,
    ( op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e1) = e1
    | op(e0,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_84_2,axiom,
    ( op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1
    | op(e0,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_84_3,axiom,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_85_0,axiom,
    ( op(e3,e0) = e1
    | op(e2,e0) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_85_1,axiom,
    ( op(e2,e0) = e1
    | op(e3,e0) = e1
    | op(e1,e0) = e1
    | op(e0,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_85_2,axiom,
    ( op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1
    | op(e0,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_85_3,axiom,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_86_0,axiom,
    ( op(e0,e3) = e2
    | op(e0,e2) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_86_1,axiom,
    ( op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e1) = e2
    | op(e0,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_86_2,axiom,
    ( op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2
    | op(e0,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_86_3,axiom,
    ( op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_87_0,axiom,
    ( op(e3,e0) = e2
    | op(e2,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_87_1,axiom,
    ( op(e2,e0) = e2
    | op(e3,e0) = e2
    | op(e1,e0) = e2
    | op(e0,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_87_2,axiom,
    ( op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2
    | op(e0,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_87_3,axiom,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_88_0,axiom,
    ( op(e0,e3) = e3
    | op(e0,e2) = e3
    | op(e0,e1) = e3
    | op(e0,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_1,axiom,
    ( op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e0,e1) = e3
    | op(e0,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_2,axiom,
    ( op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3
    | op(e0,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_3,axiom,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_89_0,axiom,
    ( op(e3,e0) = e3
    | op(e2,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_1,axiom,
    ( op(e2,e0) = e3
    | op(e3,e0) = e3
    | op(e1,e0) = e3
    | op(e0,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_2,axiom,
    ( op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3
    | op(e0,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_3,axiom,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_90_0,axiom,
    ( op(e1,e3) = e0
    | op(e1,e2) = e0
    | op(e1,e1) = e0
    | op(e1,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_90]) ).

cnf(c_0_90_1,axiom,
    ( op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e1) = e0
    | op(e1,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_90]) ).

cnf(c_0_90_2,axiom,
    ( op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0
    | op(e1,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_90]) ).

cnf(c_0_90_3,axiom,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_90]) ).

cnf(c_0_91_0,axiom,
    ( op(e3,e1) = e0
    | op(e2,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_91_1,axiom,
    ( op(e2,e1) = e0
    | op(e3,e1) = e0
    | op(e1,e1) = e0
    | op(e0,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_91_2,axiom,
    ( op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0
    | op(e0,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_91_3,axiom,
    ( op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_92_0,axiom,
    ( op(e1,e3) = e1
    | op(e1,e2) = e1
    | op(e1,e1) = e1
    | op(e1,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_92_1,axiom,
    ( op(e1,e2) = e1
    | op(e1,e3) = e1
    | op(e1,e1) = e1
    | op(e1,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_92_2,axiom,
    ( op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1
    | op(e1,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_92_3,axiom,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_93_0,axiom,
    ( op(e3,e1) = e1
    | op(e2,e1) = e1
    | op(e1,e1) = e1
    | op(e0,e1) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_1,axiom,
    ( op(e2,e1) = e1
    | op(e3,e1) = e1
    | op(e1,e1) = e1
    | op(e0,e1) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_2,axiom,
    ( op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1
    | op(e0,e1) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_3,axiom,
    ( op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_94_0,axiom,
    ( op(e1,e3) = e2
    | op(e1,e2) = e2
    | op(e1,e1) = e2
    | op(e1,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_1,axiom,
    ( op(e1,e2) = e2
    | op(e1,e3) = e2
    | op(e1,e1) = e2
    | op(e1,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_2,axiom,
    ( op(e1,e1) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2
    | op(e1,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_3,axiom,
    ( op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_95_0,axiom,
    ( op(e3,e1) = e2
    | op(e2,e1) = e2
    | op(e1,e1) = e2
    | op(e0,e1) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_95_1,axiom,
    ( op(e2,e1) = e2
    | op(e3,e1) = e2
    | op(e1,e1) = e2
    | op(e0,e1) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_95_2,axiom,
    ( op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2
    | op(e0,e1) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_95_3,axiom,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_96_0,axiom,
    ( op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_1,axiom,
    ( op(e1,e2) = e3
    | op(e1,e3) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_2,axiom,
    ( op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3
    | op(e1,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_3,axiom,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_97_0,axiom,
    ( op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_97_1,axiom,
    ( op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_97_2,axiom,
    ( op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e0,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_97_3,axiom,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_98_0,axiom,
    ( op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_1,axiom,
    ( op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e1) = e0
    | op(e2,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_2,axiom,
    ( op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0
    | op(e2,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_3,axiom,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_99_0,axiom,
    ( op(e3,e2) = e0
    | op(e2,e2) = e0
    | op(e1,e2) = e0
    | op(e0,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_1,axiom,
    ( op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e1,e2) = e0
    | op(e0,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_2,axiom,
    ( op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e0,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_3,axiom,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_100_0,axiom,
    ( op(e2,e3) = e1
    | op(e2,e2) = e1
    | op(e2,e1) = e1
    | op(e2,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_1,axiom,
    ( op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e1) = e1
    | op(e2,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_2,axiom,
    ( op(e2,e1) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1
    | op(e2,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_3,axiom,
    ( op(e2,e0) = e1
    | op(e2,e1) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_101_0,axiom,
    ( op(e3,e2) = e1
    | op(e2,e2) = e1
    | op(e1,e2) = e1
    | op(e0,e2) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_101_1,axiom,
    ( op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e1,e2) = e1
    | op(e0,e2) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_101_2,axiom,
    ( op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1
    | op(e0,e2) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_101_3,axiom,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_102_0,axiom,
    ( op(e2,e3) = e2
    | op(e2,e2) = e2
    | op(e2,e1) = e2
    | op(e2,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_102_1,axiom,
    ( op(e2,e2) = e2
    | op(e2,e3) = e2
    | op(e2,e1) = e2
    | op(e2,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_102_2,axiom,
    ( op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e2
    | op(e2,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_102_3,axiom,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_103_0,axiom,
    ( op(e3,e2) = e2
    | op(e2,e2) = e2
    | op(e1,e2) = e2
    | op(e0,e2) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_103_1,axiom,
    ( op(e2,e2) = e2
    | op(e3,e2) = e2
    | op(e1,e2) = e2
    | op(e0,e2) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_103_2,axiom,
    ( op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e2) = e2
    | op(e0,e2) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_103_3,axiom,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e2) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_104_0,axiom,
    ( op(e2,e3) = e3
    | op(e2,e2) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_1,axiom,
    ( op(e2,e2) = e3
    | op(e2,e3) = e3
    | op(e2,e1) = e3
    | op(e2,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_2,axiom,
    ( op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3
    | op(e2,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_3,axiom,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_105_0,axiom,
    ( op(e3,e2) = e3
    | op(e2,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_105_1,axiom,
    ( op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e1,e2) = e3
    | op(e0,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_105_2,axiom,
    ( op(e1,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3
    | op(e0,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_105_3,axiom,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_106_0,axiom,
    ( op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_106_1,axiom,
    ( op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_106_2,axiom,
    ( op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0
    | op(e3,e0) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_106_3,axiom,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_107_0,axiom,
    ( op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e1,e3) = e0
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_107_1,axiom,
    ( op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e1,e3) = e0
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_107_2,axiom,
    ( op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e0,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_107_3,axiom,
    ( op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_108_0,axiom,
    ( op(e3,e3) = e1
    | op(e3,e2) = e1
    | op(e3,e1) = e1
    | op(e3,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_108]) ).

cnf(c_0_108_1,axiom,
    ( op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e3,e1) = e1
    | op(e3,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_108]) ).

cnf(c_0_108_2,axiom,
    ( op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1
    | op(e3,e0) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_108]) ).

cnf(c_0_108_3,axiom,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_108]) ).

cnf(c_0_109_0,axiom,
    ( op(e3,e3) = e1
    | op(e2,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_109]) ).

cnf(c_0_109_1,axiom,
    ( op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e1,e3) = e1
    | op(e0,e3) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_109]) ).

cnf(c_0_109_2,axiom,
    ( op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1
    | op(e0,e3) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_109]) ).

cnf(c_0_109_3,axiom,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(literals_permutation,[status(thm)],[c_0_109]) ).

cnf(c_0_110_0,axiom,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e1) = e2
    | op(e3,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_110]) ).

cnf(c_0_110_1,axiom,
    ( op(e3,e2) = e2
    | op(e3,e3) = e2
    | op(e3,e1) = e2
    | op(e3,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_110]) ).

cnf(c_0_110_2,axiom,
    ( op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2
    | op(e3,e0) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_110]) ).

cnf(c_0_110_3,axiom,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_110]) ).

cnf(c_0_111_0,axiom,
    ( op(e3,e3) = e2
    | op(e2,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_111]) ).

cnf(c_0_111_1,axiom,
    ( op(e2,e3) = e2
    | op(e3,e3) = e2
    | op(e1,e3) = e2
    | op(e0,e3) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_111]) ).

cnf(c_0_111_2,axiom,
    ( op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2
    | op(e0,e3) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_111]) ).

cnf(c_0_111_3,axiom,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2 ),
    inference(literals_permutation,[status(thm)],[c_0_111]) ).

cnf(c_0_112_0,axiom,
    ( op(e3,e3) = e3
    | op(e3,e2) = e3
    | op(e3,e1) = e3
    | op(e3,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_112]) ).

cnf(c_0_112_1,axiom,
    ( op(e3,e2) = e3
    | op(e3,e3) = e3
    | op(e3,e1) = e3
    | op(e3,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_112]) ).

cnf(c_0_112_2,axiom,
    ( op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3
    | op(e3,e0) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_112]) ).

cnf(c_0_112_3,axiom,
    ( op(e3,e0) = e3
    | op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_112]) ).

cnf(c_0_113_0,axiom,
    ( op(e3,e3) = e3
    | op(e2,e3) = e3
    | op(e1,e3) = e3
    | op(e0,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_113]) ).

cnf(c_0_113_1,axiom,
    ( op(e2,e3) = e3
    | op(e3,e3) = e3
    | op(e1,e3) = e3
    | op(e0,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_113]) ).

cnf(c_0_113_2,axiom,
    ( op(e1,e3) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e3
    | op(e0,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_113]) ).

cnf(c_0_113_3,axiom,
    ( op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_113]) ).

cnf(c_0_122_0,axiom,
    ( unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_122]) ).

cnf(c_0_122_1,axiom,
    ( unit = e2
    | unit = e3
    | unit = e1
    | unit = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_122]) ).

cnf(c_0_122_2,axiom,
    ( unit = e1
    | unit = e2
    | unit = e3
    | unit = e0 ),
    inference(literals_permutation,[status(thm)],[c_0_122]) ).

cnf(c_0_122_3,axiom,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(literals_permutation,[status(thm)],[c_0_122]) ).

cnf(c_0_114_0,axiom,
    op(unit,e0) = e0,
    inference(literals_permutation,[status(thm)],[c_0_114]) ).

cnf(c_0_115_0,axiom,
    op(e0,unit) = e0,
    inference(literals_permutation,[status(thm)],[c_0_115]) ).

cnf(c_0_116_0,axiom,
    op(unit,e1) = e1,
    inference(literals_permutation,[status(thm)],[c_0_116]) ).

cnf(c_0_117_0,axiom,
    op(e1,unit) = e1,
    inference(literals_permutation,[status(thm)],[c_0_117]) ).

cnf(c_0_118_0,axiom,
    op(unit,e2) = e2,
    inference(literals_permutation,[status(thm)],[c_0_118]) ).

cnf(c_0_119_0,axiom,
    op(e2,unit) = e2,
    inference(literals_permutation,[status(thm)],[c_0_119]) ).

cnf(c_0_120_0,axiom,
    op(unit,e3) = e3,
    inference(literals_permutation,[status(thm)],[c_0_120]) ).

cnf(c_0_121_0,axiom,
    op(e3,unit) = e3,
    inference(literals_permutation,[status(thm)],[c_0_121]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_124,conjecture,
    ~ ( ( ( op(e0,e0) = e0
          & op(e1,e1) = e0
          & op(e2,e2) = e0
          & op(e3,e3) = e0 )
        | ( op(e0,e0) = e1
          & op(e1,e1) = e1
          & op(e2,e2) = e1
          & op(e3,e3) = e1 )
        | ( op(e0,e0) = e2
          & op(e1,e1) = e2
          & op(e2,e2) = e2
          & op(e3,e3) = e2 )
        | ( op(e0,e0) = e3
          & op(e1,e1) = e3
          & op(e2,e2) = e3
          & op(e3,e3) = e3 ) )
      & ~ ( ( op(e0,e0) = e0
            & op(e1,e1) = e0
            & op(e2,e2) = e0
            & op(e3,e3) = e0 )
          | ( op(e0,e0) = e1
            & op(e1,e1) = e1
            & op(e2,e2) = e1
            & op(e3,e3) = e1 )
          | ( op(e0,e0) = e2
            & op(e1,e1) = e2
            & op(e2,e2) = e2
            & op(e3,e3) = e2 )
          | ( op(e0,e0) = e3
            & op(e1,e1) = e3
            & op(e2,e2) = e3
            & op(e3,e3) = e3 ) ) ),
    file('<stdin>',co1) ).

fof(c_0_1_125,plain,
    ( epred1_0
  <=> ( ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 )
      | ( op(e0,e0) = e3
        & op(e1,e1) = e3
        & op(e2,e2) = e3
        & op(e3,e3) = e3 ) ) ),
    introduced(definition) ).

fof(c_0_2_126,plain,
    ( epred1_0
  <=> ( ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 )
      | ( op(e0,e0) = e3
        & op(e1,e1) = e3
        & op(e2,e2) = e3
        & op(e3,e3) = e3 ) ) ),
    c_0_1 ).

fof(c_0_3_127,negated_conjecture,
    ~ ~ ( ( ( op(e0,e0) = e0
            & op(e1,e1) = e0
            & op(e2,e2) = e0
            & op(e3,e3) = e0 )
          | epred1_0 )
        & ~ ( ( op(e0,e0) = e0
              & op(e1,e1) = e0
              & op(e2,e2) = e0
              & op(e3,e3) = e0 )
            | epred1_0 ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0]),c_0_1,theory(equality,[symmetry])]),c_0_1,theory(equality,[symmetry])]) ).

fof(c_0_4_128,plain,
    ( ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e1,e1) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e2,e2) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e2,e2) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e3,e3) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e3,e3) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e3,e3) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e0,e0) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e0,e0) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e0,e0) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e2,e2) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e2,e2) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e3,e3) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e3,e3) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e3,e3) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e1,e1) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e0,e0) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e0,e0) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e1,e1) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e3,e3) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e3,e3) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e3,e3) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e2,e2) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e0,e0) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e0,e0) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e1,e1) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e1,e1) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e2,e2) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e2,e2) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e2,e2) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e1,e1) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e2,e2) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | ~ epred1_0 )
    & ( op(e0,e0) != e1
      | op(e1,e1) != e1
      | op(e2,e2) != e1
      | op(e3,e3) != e1
      | epred1_0 )
    & ( op(e0,e0) != e2
      | op(e1,e1) != e2
      | op(e2,e2) != e2
      | op(e3,e3) != e2
      | epred1_0 )
    & ( op(e0,e0) != e3
      | op(e1,e1) != e3
      | op(e2,e2) != e3
      | op(e3,e3) != e3
      | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_5_129,negated_conjecture,
    ( ( op(e0,e0) = e0
      | epred1_0 )
    & ( op(e1,e1) = e0
      | epred1_0 )
    & ( op(e2,e2) = e0
      | epred1_0 )
    & ( op(e3,e3) = e0
      | epred1_0 )
    & ( op(e0,e0) != e0
      | op(e1,e1) != e0
      | op(e2,e2) != e0
      | op(e3,e3) != e0 )
    & ~ epred1_0 ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_6_130,plain,
    ( epred1_0
    | op(e3,e3) != e1
    | op(e2,e2) != e1
    | op(e1,e1) != e1
    | op(e0,e0) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_131,plain,
    ( epred1_0
    | op(e3,e3) != e2
    | op(e2,e2) != e2
    | op(e1,e1) != e2
    | op(e0,e0) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8_132,plain,
    ( epred1_0
    | op(e3,e3) != e3
    | op(e2,e2) != e3
    | op(e1,e1) != e3
    | op(e0,e0) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9_133,negated_conjecture,
    ( op(e3,e3) != e0
    | op(e2,e2) != e0
    | op(e1,e1) != e0
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10_134,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11_135,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12_136,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13_137,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14_138,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15_139,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16_140,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17_141,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18_142,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_19_143,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_20_144,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21_145,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_22_146,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_23_147,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_24_148,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_25_149,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26_150,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_27_151,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_28_152,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_29_153,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_30_154,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_31_155,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_32_156,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_33_157,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_34_158,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_35_159,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_36_160,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_37_161,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_38_162,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_39_163,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_40_164,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_41_165,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_42_166,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_43_167,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_44_168,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_45_169,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_46_170,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_47_171,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_48_172,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_49_173,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_50_174,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_51_175,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_52_176,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_53_177,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_54_178,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_55_179,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_56_180,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_57_181,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_58_182,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_59_183,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_60_184,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_61_185,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_62_186,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_63_187,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_64_188,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_65_189,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_66_190,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_67_191,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_68_192,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_69_193,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_70_194,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_71_195,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_72_196,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_73_197,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_74_198,negated_conjecture,
    ( epred1_0
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_75_199,negated_conjecture,
    ( epred1_0
    | op(e1,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_76_200,negated_conjecture,
    ( epred1_0
    | op(e2,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_77_201,negated_conjecture,
    ( epred1_0
    | op(e3,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_78_202,negated_conjecture,
    ~ epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_79_203,plain,
    ( epred1_0
    | op(e3,e3) != e1
    | op(e2,e2) != e1
    | op(e1,e1) != e1
    | op(e0,e0) != e1 ),
    c_0_6,
    [final] ).

cnf(c_0_80_204,plain,
    ( epred1_0
    | op(e3,e3) != e2
    | op(e2,e2) != e2
    | op(e1,e1) != e2
    | op(e0,e0) != e2 ),
    c_0_7,
    [final] ).

cnf(c_0_81_205,plain,
    ( epred1_0
    | op(e3,e3) != e3
    | op(e2,e2) != e3
    | op(e1,e1) != e3
    | op(e0,e0) != e3 ),
    c_0_8,
    [final] ).

cnf(c_0_82_206,negated_conjecture,
    ( op(e3,e3) != e0
    | op(e2,e2) != e0
    | op(e1,e1) != e0
    | op(e0,e0) != e0 ),
    c_0_9,
    [final] ).

cnf(c_0_83_207,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_10,
    [final] ).

cnf(c_0_84_208,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_11,
    [final] ).

cnf(c_0_85_209,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_12,
    [final] ).

cnf(c_0_86_210,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_13,
    [final] ).

cnf(c_0_87_211,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_14,
    [final] ).

cnf(c_0_88_212,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_15,
    [final] ).

cnf(c_0_89_213,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_16,
    [final] ).

cnf(c_0_90_214,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_17,
    [final] ).

cnf(c_0_91_215,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_18,
    [final] ).

cnf(c_0_92_216,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_19,
    [final] ).

cnf(c_0_93_217,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_20,
    [final] ).

cnf(c_0_94_218,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_21,
    [final] ).

cnf(c_0_95_219,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_22,
    [final] ).

cnf(c_0_96_220,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_23,
    [final] ).

cnf(c_0_97_221,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_24,
    [final] ).

cnf(c_0_98_222,plain,
    ( op(e0,e0) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_25,
    [final] ).

cnf(c_0_99_223,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_26,
    [final] ).

cnf(c_0_100_224,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_27,
    [final] ).

cnf(c_0_101_225,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_28,
    [final] ).

cnf(c_0_102_226,plain,
    ( op(e1,e1) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_29,
    [final] ).

cnf(c_0_103_227,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_30,
    [final] ).

cnf(c_0_104_228,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_31,
    [final] ).

cnf(c_0_105_229,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_32,
    [final] ).

cnf(c_0_106_230,plain,
    ( op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_33,
    [final] ).

cnf(c_0_107_231,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_34,
    [final] ).

cnf(c_0_108_232,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_35,
    [final] ).

cnf(c_0_109_233,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_36,
    [final] ).

cnf(c_0_110_234,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_37,
    [final] ).

cnf(c_0_111_235,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_38,
    [final] ).

cnf(c_0_112_236,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_39,
    [final] ).

cnf(c_0_113_237,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_40,
    [final] ).

cnf(c_0_114_238,plain,
    ( op(e1,e1) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_41,
    [final] ).

cnf(c_0_115_239,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_42,
    [final] ).

cnf(c_0_116_240,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_43,
    [final] ).

cnf(c_0_117_241,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_44,
    [final] ).

cnf(c_0_118_242,plain,
    ( op(e2,e2) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_45,
    [final] ).

cnf(c_0_119_243,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_46,
    [final] ).

cnf(c_0_120_244,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_47,
    [final] ).

cnf(c_0_121_245,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_48,
    [final] ).

cnf(c_0_122_246,plain,
    ( op(e2,e2) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_49,
    [final] ).

cnf(c_0_123_247,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_50,
    [final] ).

cnf(c_0_124_248,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_51,
    [final] ).

cnf(c_0_125_249,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_52,
    [final] ).

cnf(c_0_126_250,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_53,
    [final] ).

cnf(c_0_127_251,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_54,
    [final] ).

cnf(c_0_128_252,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_55,
    [final] ).

cnf(c_0_129_253,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_56,
    [final] ).

cnf(c_0_130_254,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_57,
    [final] ).

cnf(c_0_131_255,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_58,
    [final] ).

cnf(c_0_132_256,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_59,
    [final] ).

cnf(c_0_133_257,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_60,
    [final] ).

cnf(c_0_134_258,plain,
    ( op(e3,e3) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_61,
    [final] ).

cnf(c_0_135_259,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_62,
    [final] ).

cnf(c_0_136_260,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_63,
    [final] ).

cnf(c_0_137_261,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_64,
    [final] ).

cnf(c_0_138_262,plain,
    ( op(e3,e3) = e1
    | op(e1,e1) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_65,
    [final] ).

cnf(c_0_139_263,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_66,
    [final] ).

cnf(c_0_140_264,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_67,
    [final] ).

cnf(c_0_141_265,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_68,
    [final] ).

cnf(c_0_142_266,plain,
    ( op(e3,e3) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_69,
    [final] ).

cnf(c_0_143_267,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e0,e0) = e3
    | ~ epred1_0 ),
    c_0_70,
    [final] ).

cnf(c_0_144_268,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e1,e1) = e3
    | ~ epred1_0 ),
    c_0_71,
    [final] ).

cnf(c_0_145_269,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e2,e2) = e3
    | ~ epred1_0 ),
    c_0_72,
    [final] ).

cnf(c_0_146_270,plain,
    ( op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3
    | ~ epred1_0 ),
    c_0_73,
    [final] ).

cnf(c_0_147_271,negated_conjecture,
    ( epred1_0
    | op(e0,e0) = e0 ),
    c_0_74,
    [final] ).

cnf(c_0_148_272,negated_conjecture,
    ( epred1_0
    | op(e1,e1) = e0 ),
    c_0_75,
    [final] ).

cnf(c_0_149_273,negated_conjecture,
    ( epred1_0
    | op(e2,e2) = e0 ),
    c_0_76,
    [final] ).

cnf(c_0_150_274,negated_conjecture,
    ( epred1_0
    | op(e3,e3) = e0 ),
    c_0_77,
    [final] ).

cnf(c_0_151_275,negated_conjecture,
    ~ epred1_0,
    c_0_78,
    [final] ).

% End CNF derivation

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

cnf(c_263,negated_conjecture,
    ( op(e0,e0) != e0
    | op(e3,e3) != e0
    | op(e2,e2) != e0
    | op(e1,e1) != e0 ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_26ab5c.p',c_0_82) ).

cnf(c_328,negated_conjecture,
    ( epred1_0
    | op(e0,e0) = e0 ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_26ab5c.p',c_0_147) ).

cnf(c_329,negated_conjecture,
    ( epred1_0
    | op(e1,e1) = e0 ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_26ab5c.p',c_0_148) ).

cnf(c_330,negated_conjecture,
    ( epred1_0
    | op(e2,e2) = e0 ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_26ab5c.p',c_0_149) ).

cnf(c_331,negated_conjecture,
    ( epred1_0
    | op(e3,e3) = e0 ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_26ab5c.p',c_0_150) ).

cnf(c_332,negated_conjecture,
    ~ epred1_0,
    file('/export/starexec/sandbox2/tmp/iprover_modulo_26ab5c.p',c_0_151) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_263,c_328,c_329,c_330,c_331,c_332]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG039+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  8 21:18:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % FOF problem with conjecture
% 0.20/0.41  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_309f58.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_26ab5c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a6706e | grep -v "SZS"
% 0.20/0.44  
% 0.20/0.44  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.44  
% 0.20/0.44  % 
% 0.20/0.44  % ------  iProver source info 
% 0.20/0.44  
% 0.20/0.44  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.44  % git: non_committed_changes: true
% 0.20/0.44  % git: last_make_outside_of_git: true
% 0.20/0.44  
% 0.20/0.44  % 
% 0.20/0.44  % ------ Input Options
% 0.20/0.44  
% 0.20/0.44  % --out_options                         all
% 0.20/0.44  % --tptp_safe_out                       true
% 0.20/0.44  % --problem_path                        ""
% 0.20/0.44  % --include_path                        ""
% 0.20/0.44  % --clausifier                          .//eprover
% 0.20/0.44  % --clausifier_options                  --tstp-format  
% 0.20/0.44  % --stdin                               false
% 0.20/0.44  % --dbg_backtrace                       false
% 0.20/0.44  % --dbg_dump_prop_clauses               false
% 0.20/0.44  % --dbg_dump_prop_clauses_file          -
% 0.20/0.44  % --dbg_out_stat                        false
% 0.20/0.44  
% 0.20/0.44  % ------ General Options
% 0.20/0.44  
% 0.20/0.44  % --fof                                 false
% 0.20/0.44  % --time_out_real                       150.
% 0.20/0.44  % --time_out_prep_mult                  0.2
% 0.20/0.44  % --time_out_virtual                    -1.
% 0.20/0.44  % --schedule                            none
% 0.20/0.44  % --ground_splitting                    input
% 0.20/0.44  % --splitting_nvd                       16
% 0.20/0.44  % --non_eq_to_eq                        false
% 0.20/0.44  % --prep_gs_sim                         true
% 0.20/0.44  % --prep_unflatten                      false
% 0.20/0.44  % --prep_res_sim                        true
% 0.20/0.44  % --prep_upred                          true
% 0.20/0.44  % --res_sim_input                       true
% 0.20/0.44  % --clause_weak_htbl                    true
% 0.20/0.44  % --gc_record_bc_elim                   false
% 0.20/0.44  % --symbol_type_check                   false
% 0.20/0.44  % --clausify_out                        false
% 0.20/0.44  % --large_theory_mode                   false
% 0.20/0.44  % --prep_sem_filter                     none
% 0.20/0.44  % --prep_sem_filter_out                 false
% 0.20/0.44  % --preprocessed_out                    false
% 0.20/0.44  % --sub_typing                          false
% 0.20/0.44  % --brand_transform                     false
% 0.20/0.44  % --pure_diseq_elim                     true
% 0.20/0.44  % --min_unsat_core                      false
% 0.20/0.44  % --pred_elim                           true
% 0.20/0.44  % --add_important_lit                   false
% 0.20/0.44  % --soft_assumptions                    false
% 0.20/0.44  % --reset_solvers                       false
% 0.20/0.44  % --bc_imp_inh                          []
% 0.20/0.44  % --conj_cone_tolerance                 1.5
% 0.20/0.44  % --prolific_symb_bound                 500
% 0.20/0.44  % --lt_threshold                        2000
% 0.20/0.44  
% 0.20/0.44  % ------ SAT Options
% 0.20/0.44  
% 0.20/0.44  % --sat_mode                            false
% 0.20/0.44  % --sat_fm_restart_options              ""
% 0.20/0.44  % --sat_gr_def                          false
% 0.20/0.44  % --sat_epr_types                       true
% 0.20/0.44  % --sat_non_cyclic_types                false
% 0.20/0.44  % --sat_finite_models                   false
% 0.20/0.44  % --sat_fm_lemmas                       false
% 0.20/0.44  % --sat_fm_prep                         false
% 0.20/0.44  % --sat_fm_uc_incr                      true
% 0.20/0.44  % --sat_out_model                       small
% 0.20/0.44  % --sat_out_clauses                     false
% 0.20/0.44  
% 0.20/0.44  % ------ QBF Options
% 0.20/0.44  
% 0.20/0.44  % --qbf_mode                            false
% 0.20/0.44  % --qbf_elim_univ                       true
% 0.20/0.44  % --qbf_sk_in                           true
% 0.20/0.44  % --qbf_pred_elim                       true
% 0.20/0.44  % --qbf_split                           32
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1 Options
% 0.20/0.44  
% 0.20/0.44  % --bmc1_incremental                    false
% 0.20/0.44  % --bmc1_axioms                         reachable_all
% 0.20/0.44  % --bmc1_min_bound                      0
% 0.20/0.44  % --bmc1_max_bound                      -1
% 0.20/0.44  % --bmc1_max_bound_default              -1
% 0.20/0.44  % --bmc1_symbol_reachability            true
% 0.20/0.44  % --bmc1_property_lemmas                false
% 0.20/0.44  % --bmc1_k_induction                    false
% 0.20/0.44  % --bmc1_non_equiv_states               false
% 0.20/0.44  % --bmc1_deadlock                       false
% 0.20/0.44  % --bmc1_ucm                            false
% 0.20/0.44  % --bmc1_add_unsat_core                 none
% 0.20/0.44  % --bmc1_unsat_core_children            false
% 0.20/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.44  % --bmc1_out_stat                       full
% 0.20/0.44  % --bmc1_ground_init                    false
% 0.20/0.44  % --bmc1_pre_inst_next_state            false
% 0.20/0.44  % --bmc1_pre_inst_state                 false
% 0.20/0.44  % --bmc1_pre_inst_reach_state           false
% 0.20/0.44  % --bmc1_out_unsat_core                 false
% 0.20/0.44  % --bmc1_aig_witness_out                false
% 0.20/0.44  % --bmc1_verbose                        false
% 0.20/0.44  % --bmc1_dump_clauses_tptp              false
% 0.20/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.45  % --bmc1_dump_file                      -
% 0.20/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.45  % --bmc1_ucm_extend_mode                1
% 0.20/0.45  % --bmc1_ucm_init_mode                  2
% 0.20/0.45  % --bmc1_ucm_cone_mode                  none
% 0.20/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.45  % --bmc1_ucm_relax_model                4
% 0.20/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.45  % --bmc1_ucm_layered_model              none
% 0.20/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.45  
% 0.20/0.45  % ------ AIG Options
% 0.20/0.45  
% 0.20/0.45  % --aig_mode                            false
% 0.20/0.45  
% 0.20/0.45  % ------ Instantiation Options
% 0.20/0.45  
% 0.20/0.45  % --instantiation_flag                  true
% 0.20/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45  % --inst_solver_per_active              750
% 0.20/0.45  % --inst_solver_calls_frac              0.5
% 0.20/0.45  % --inst_passive_queue_type             priority_queues
% 0.20/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45  % --inst_passive_queues_freq            [25;2]
% 0.20/0.45  % --inst_dismatching                    true
% 0.20/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.45  % --inst_prop_sim_given                 true
% 0.20/0.45  % --inst_prop_sim_new                   false
% 0.20/0.45  % --inst_orphan_elimination             true
% 0.20/0.45  % --inst_learning_loop_flag             true
% 0.20/0.45  % --inst_learning_start                 3000
% 0.20/0.45  % --inst_learning_factor                2
% 0.20/0.45  % --inst_start_prop_sim_after_learn     3
% 0.20/0.45  % --inst_sel_renew                      solver
% 0.20/0.45  % --inst_lit_activity_flag              true
% 0.20/0.45  % --inst_out_proof                      true
% 0.20/0.45  
% 0.20/0.45  % ------ Resolution Options
% 0.20/0.45  
% 0.20/0.45  % --resolution_flag                     true
% 0.20/0.45  % --res_lit_sel                         kbo_max
% 0.20/0.45  % --res_to_prop_solver                  none
% 0.20/0.45  % --res_prop_simpl_new                  false
% 0.20/0.45  % --res_prop_simpl_given                false
% 0.20/0.45  % --res_passive_queue_type              priority_queues
% 0.20/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45  % --res_passive_queues_freq             [15;5]
% 0.20/0.45  % --res_forward_subs                    full
% 0.20/0.45  % --res_backward_subs                   full
% 0.20/0.45  % --res_forward_subs_resolution         true
% 0.20/0.45  % --res_backward_subs_resolution        true
% 0.20/0.45  % --res_orphan_elimination              false
% 0.20/0.45  % --res_time_limit                      1000.
% 0.20/0.45  % --res_out_proof                       true
% 0.20/0.45  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_309f58.s
% 0.20/0.45  % --modulo                              true
% 0.20/0.45  
% 0.20/0.45  % ------ Combination Options
% 0.20/0.45  
% 0.20/0.45  % --comb_res_mult                       1000
% 0.20/0.45  % --comb_inst_mult                      300
% 0.20/0.45  % ------ 
% 0.20/0.45  
% 0.20/0.45  % ------ Parsing...% successful
% 0.20/0.45  
% 0.20/0.45  % 
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % ------                             Statistics
% 0.20/0.45  
% 0.20/0.45  % ------ General
% 0.20/0.45  
% 0.20/0.45  % num_of_input_clauses:                 333
% 0.20/0.45  % num_of_input_neg_conjectures:         6
% 0.20/0.45  % num_of_splits:                        0
% 0.20/0.45  % num_of_split_atoms:                   0
% 0.20/0.45  % num_of_sem_filtered_clauses:          0
% 0.20/0.45  % num_of_subtypes:                      0
% 0.20/0.45  % monotx_restored_types:                0
% 0.20/0.45  % sat_num_of_epr_types:                 0
% 0.20/0.45  % sat_num_of_non_cyclic_types:          0
% 0.20/0.45  % sat_guarded_non_collapsed_types:      0
% 0.20/0.45  % is_epr:                               0
% 0.20/0.45  % is_horn:                              0
% 0.20/0.45  % has_eq:                               0
% 0.20/0.45  % num_pure_diseq_elim:                  0
% 0.20/0.45  % simp_replaced_by:                     0
% 0.20/0.45  % res_preprocessed:                     0
% 0.20/0.45  % prep_upred:                           0
% 0.20/0.45  % prep_unflattend:                      0
% 0.20/0.45  % pred_elim_cands:                      0
% 0.20/0.45  % pred_elim:                            0
% 0.20/0.45  % pred_elim_cl:                         0
% 0.20/0.45  % pred_elim_cycles:                     0
% 0.20/0.45  % forced_gc_time:                       0
% 0.20/0.45  % gc_basic_clause_elim:                 0
% 0.20/0.45  % parsing_time:                         0.015
% 0.20/0.45  % sem_filter_time:                      0.
% 0.20/0.45  % pred_elim_time:                       0.
% 0.20/0.45  % out_proof_time:                       0.
% 0.20/0.45  % monotx_time:                          0.
% 0.20/0.45  % subtype_inf_time:                     0.
% 0.20/0.45  % unif_index_cands_time:                0.
% 0.20/0.46  % unif_index_add_time:                  0.
% 0.20/0.46  % total_time:                           0.033
% 0.20/0.46  % num_of_symbols:                       32
% 0.20/0.46  % num_of_terms:                         241
% 0.20/0.46  
% 0.20/0.46  % ------ Propositional Solver
% 0.20/0.46  
% 0.20/0.46  % prop_solver_calls:                    0
% 0.20/0.46  % prop_fast_solver_calls:               0
% 0.20/0.46  % prop_num_of_clauses:                  5
% 0.20/0.46  % prop_preprocess_simplified:           0
% 0.20/0.46  % prop_fo_subsumed:                     0
% 0.20/0.46  % prop_solver_time:                     0.
% 0.20/0.46  % prop_fast_solver_time:                0.
% 0.20/0.46  % prop_unsat_core_time:                 0.
% 0.20/0.46  
% 0.20/0.46  % ------ QBF 
% 0.20/0.46  
% 0.20/0.46  % qbf_q_res:                            0
% 0.20/0.46  % qbf_num_tautologies:                  0
% 0.20/0.46  % qbf_prep_cycles:                      0
% 0.20/0.46  
% 0.20/0.46  % ------ BMC1
% 0.20/0.46  
% 0.20/0.46  % bmc1_current_bound:                   -1
% 0.20/0.46  % bmc1_last_solved_bound:               -1
% 0.20/0.46  % bmc1_unsat_core_size:                 -1
% 0.20/0.46  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.46  % bmc1_merge_next_fun:                  0
% 0.20/0.46  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.46  
% 0.20/0.46  % ------ Instantiation
% 0.20/0.46  
% 0.20/0.46  % inst_num_of_clauses:                  undef
% 0.20/0.46  % inst_num_in_passive:                  undef
% 0.20/0.46  % inst_num_in_active:                   0
% 0.20/0.46  % inst_num_in_unprocessed:              0
% 0.20/0.46  % inst_num_of_loops:                    0
% 0.20/0.46  % inst_num_of_learning_restarts:        0
% 0.20/0.46  % inst_num_moves_active_passive:        0
% 0.20/0.46  % inst_lit_activity:                    0
% 0.20/0.46  % inst_lit_activity_moves:              0
% 0.20/0.46  % inst_num_tautologies:                 0
% 0.20/0.46  % inst_num_prop_implied:                0
% 0.20/0.46  % inst_num_existing_simplified:         0
% 0.20/0.46  % inst_num_eq_res_simplified:           0
% 0.20/0.46  % inst_num_child_elim:                  0
% 0.20/0.46  % inst_num_of_dismatching_blockings:    0
% 0.20/0.46  % inst_num_of_non_proper_insts:         0
% 0.20/0.46  % inst_num_of_duplicates:               0
% 0.20/0.46  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.46  % inst_dismatching_checking_time:       0.
% 0.20/0.46  
% 0.20/0.46  % ------ Resolution
% 0.20/0.46  
% 0.20/0.46  % res_num_of_clauses:                   undef
% 0.20/0.46  % res_num_in_passive:                   undef
% 0.20/0.46  % res_num_in_active:                    0
% 0.20/0.46  % res_num_of_loops:                     0
% 0.20/0.46  % res_forward_subset_subsumed:          0
% 0.20/0.46  % res_backward_subset_subsumed:         0
% 0.20/0.46  % res_forward_subsumed:                 0
% 0.20/0.46  % res_backward_subsumed:                0
% 0.20/0.46  % res_forward_subsumption_resolution:   0
% 0.20/0.46  % res_backward_subsumption_resolution:  0
% 0.20/0.46  % res_clause_to_clause_subsumption:     0
% 0.20/0.46  % res_orphan_elimination:               0
% 0.20/0.46  % res_tautology_del:                    0
% 0.20/0.46  % res_num_eq_res_simplified:            0
% 0.20/0.46  % res_num_sel_changes:                  0
% 0.20/0.46  % res_moves_from_active_to_pass:        0
% 0.20/0.46  
% 0.20/0.46  % Status Unsatisfiable
% 0.20/0.46  % SZS status Theorem
% 0.20/0.46  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------