%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO592+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 05:27:31 EDT 2022

% Result   : Theorem 54.46s 54.66s
% Output   : CNFRefutation 54.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   79
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  407 ( 168 unt;   0 def)
%            Number of atoms       :  816 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  707 ( 298   ~; 293   |;  86   &)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-6 aty)
%            Number of variables   :  919 ( 146 sgn 421   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(A,C,B) ) ).

fof(ruleD2,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(B,A,C) ) ).

fof(ruleD3,axiom,
    ! [A,B,C,D] :
      ( ( coll(A,B,C)
        & coll(A,B,D) )
     => coll(C,D,A) ) ).

fof(ruleD7,axiom,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
     => perp(A,B,D,C) ) ).

fof(ruleD8,axiom,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
     => perp(C,D,A,B) ) ).

fof(ruleD11,axiom,
    ! [A,B,M] :
      ( midp(M,B,A)
     => midp(M,A,B) ) ).

fof(ruleD12,axiom,
    ! [A,B,C,O] :
      ( ( cong(O,A,O,B)
        & cong(O,A,O,C) )
     => circle(O,A,B,C) ) ).

fof(ruleD13,axiom,
    ! [A,B,C,D,O] :
      ( ( cong(O,A,O,B)
        & cong(O,A,O,C)
        & cong(O,A,O,D) )
     => cyclic(A,B,C,D) ) ).

fof(ruleD14,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,B,D,C) ) ).

fof(ruleD15,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,C,B,D) ) ).

fof(ruleD16,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(B,A,C,D) ) ).

fof(ruleD17,axiom,
    ! [A,B,C,D,E] :
      ( ( cyclic(A,B,C,D)
        & cyclic(A,B,C,E) )
     => cyclic(B,C,D,E) ) ).

fof(ruleD19,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqangle(A,B,C,D,P,Q,U,V)
     => eqangle(C,D,A,B,U,V,P,Q) ) ).

fof(ruleD23,axiom,
    ! [A,B,C,D] :
      ( cong(A,B,C,D)
     => cong(A,B,D,C) ) ).

fof(ruleD24,axiom,
    ! [A,B,C,D] :
      ( cong(A,B,C,D)
     => cong(C,D,A,B) ) ).

fof(ruleD39,axiom,
    ! [A,B,C,D,P,Q] :
      ( eqangle(A,B,P,Q,C,D,P,Q)
     => para(A,B,C,D) ) ).

fof(ruleD40,axiom,
    ! [A,B,C,D,P,Q] :
      ( para(A,B,C,D)
     => eqangle(A,B,P,Q,C,D,P,Q) ) ).

fof(ruleD41,axiom,
    ! [A,B,P,Q] :
      ( cyclic(A,B,P,Q)
     => eqangle(P,A,P,B,Q,A,Q,B) ) ).

fof(ruleD52,axiom,
    ! [A,B,C,M] :
      ( ( perp(A,B,B,C)
        & midp(M,A,C) )
     => cong(A,M,B,M) ) ).

fof(ruleD53,axiom,
    ! [A,B,C,O] :
      ( ( circle(O,A,B,C)
        & coll(O,A,C) )
     => perp(A,B,B,C) ) ).

fof(ruleD57,axiom,
    ! [A,B,P,Q] :
      ( ( cong(A,P,B,P)
        & cong(A,Q,B,Q)
        & cyclic(A,B,P,Q) )
     => perp(P,A,A,Q) ) ).

fof(ruleD64,axiom,
    ! [A,B,C,D,M] :
      ( ( midp(M,A,B)
        & para(A,C,B,D)
        & para(A,D,B,C) )
     => midp(M,C,D) ) ).

fof(ruleD66,axiom,
    ! [A,B,C] :
      ( para(A,B,A,C)
     => coll(A,B,C) ) ).

fof(ruleD67,axiom,
    ! [A,B,C] :
      ( ( cong(A,B,A,C)
        & coll(A,B,C) )
     => midp(A,B,C) ) ).

fof(ruleD68,axiom,
    ! [A,B,C] :
      ( midp(A,B,C)
     => cong(A,B,A,C) ) ).

fof(ruleX6,axiom,
    ! [A,B,C,D,M,N] :
    ? [P] :
      ( ( midp(M,A,B)
        & midp(N,C,D) )
     => ( midp(P,A,D)
        & para(P,M,B,D)
        & para(P,N,A,C) ) ) ).

fof(ruleX7,axiom,
    ! [A,B,C,D,M,N,Q] :
    ? [P] :
      ( ( midp(M,A,B)
        & midp(N,C,D)
        & coll(C,A,B)
        & coll(D,A,B) )
     => midp(P,A,Q) ) ).

fof(exemplo6GDDFULL416054,conjecture,
    ! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
      ( ( perp(A,B,A,C)
        & perp(D,A,B,C)
        & coll(D,B,C)
        & midp(O,C,B)
        & circle(O,A,NWPNT1,NWPNT2)
        & perp(M,B,A,O)
        & coll(M,A,O)
        & coll(G,B,M)
        & circle(O,A,G,NWPNT3)
        & coll(F,C,A)
        & coll(F,B,M)
        & coll(E,A,D)
        & coll(E,B,M) )
     => cong(E,A,E,B) ) ).

fof(subgoal_0,plain,
    ! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
      ( ( perp(A,B,A,C)
        & perp(D,A,B,C)
        & coll(D,B,C)
        & midp(O,C,B)
        & circle(O,A,NWPNT1,NWPNT2)
        & perp(M,B,A,O)
        & coll(M,A,O)
        & coll(G,B,M)
        & circle(O,A,G,NWPNT3)
        & coll(F,C,A)
        & coll(F,B,M)
        & coll(E,A,D)
        & coll(E,B,M) )
     => cong(E,A,E,B) ),
    inference(strip,[],[exemplo6GDDFULL416054]) ).

fof(negate_0_0,plain,
    ~ ! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
        ( ( perp(A,B,A,C)
          & perp(D,A,B,C)
          & coll(D,B,C)
          & midp(O,C,B)
          & circle(O,A,NWPNT1,NWPNT2)
          & perp(M,B,A,O)
          & coll(M,A,O)
          & coll(G,B,M)
          & circle(O,A,G,NWPNT3)
          & coll(F,C,A)
          & coll(F,B,M)
          & coll(E,A,D)
          & coll(E,B,M) )
       => cong(E,A,E,B) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [A,B,C,D,E,F,G,M,O] :
      ( ~ cong(E,A,E,B)
      & coll(D,B,C)
      & coll(E,A,D)
      & coll(E,B,M)
      & coll(F,B,M)
      & coll(F,C,A)
      & coll(G,B,M)
      & coll(M,A,O)
      & midp(O,C,B)
      & perp(A,B,A,C)
      & perp(D,A,B,C)
      & perp(M,B,A,O)
      & ? [NWPNT3] : circle(O,A,G,NWPNT3)
      & ? [NWPNT1,NWPNT2] : circle(O,A,NWPNT1,NWPNT2) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
    & coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    & coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    & coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
    & coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
    & coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
    & coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
    & coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
    & midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
    & perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
    & perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    & perp(skolemFOFtoCNF_M_3,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
    & ? [NWPNT3] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_G,NWPNT3)
    & ? [NWPNT1,NWPNT2] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,NWPNT1,NWPNT2) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [A,B,C,D] :
      ( ~ cong(A,B,C,D)
      | cong(A,B,D,C) ),
    inference(canonicalize,[],[ruleD23]) ).

fof(normalize_0_4,plain,
    ! [A,B,C,D] :
      ( ~ cong(A,B,C,D)
      | cong(A,B,D,C) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [A,B,C,D] :
      ( ~ cong(A,B,C,D)
      | cong(C,D,A,B) ),
    inference(canonicalize,[],[ruleD24]) ).

fof(normalize_0_6,plain,
    ! [A,B,C,D] :
      ( ~ cong(A,B,C,D)
      | cong(C,D,A,B) ),
    inference(specialize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ! [A,B,C,M] :
      ( ~ midp(M,A,C)
      | ~ perp(A,B,B,C)
      | cong(A,M,B,M) ),
    inference(canonicalize,[],[ruleD52]) ).

fof(normalize_0_8,plain,
    ! [A,B,C,M] :
      ( ~ midp(M,A,C)
      | ~ perp(A,B,B,C)
      | cong(A,M,B,M) ),
    inference(specialize,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ! [A,B,P,Q] :
      ( ~ cong(A,P,B,P)
      | ~ cong(A,Q,B,Q)
      | ~ cyclic(A,B,P,Q)
      | perp(P,A,A,Q) ),
    inference(canonicalize,[],[ruleD57]) ).

fof(normalize_0_10,plain,
    ! [A,B,P,Q] :
      ( ~ cong(A,P,B,P)
      | ~ cong(A,Q,B,Q)
      | ~ cyclic(A,B,P,Q)
      | perp(P,A,A,Q) ),
    inference(specialize,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [A,B,C,D,E] :
      ( ~ cyclic(A,B,C,D)
      | ~ cyclic(A,B,C,E)
      | cyclic(B,C,D,E) ),
    inference(canonicalize,[],[ruleD17]) ).

fof(normalize_0_12,plain,
    ! [A,B,C,D,E] :
      ( ~ cyclic(A,B,C,D)
      | ~ cyclic(A,B,C,E)
      | cyclic(B,C,D,E) ),
    inference(specialize,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,B,D,C) ),
    inference(canonicalize,[],[ruleD14]) ).

fof(normalize_0_14,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,B,D,C) ),
    inference(specialize,[],[normalize_0_13]) ).

fof(normalize_0_15,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,C,B,D) ),
    inference(canonicalize,[],[ruleD15]) ).

fof(normalize_0_16,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,C,B,D) ),
    inference(specialize,[],[normalize_0_15]) ).

fof(normalize_0_17,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(B,A,C,D) ),
    inference(canonicalize,[],[ruleD16]) ).

fof(normalize_0_18,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(B,A,C,D) ),
    inference(specialize,[],[normalize_0_17]) ).

fof(normalize_0_19,plain,
    ! [A,B,C,D,O] :
      ( ~ cong(O,A,O,B)
      | ~ cong(O,A,O,C)
      | ~ cong(O,A,O,D)
      | cyclic(A,B,C,D) ),
    inference(canonicalize,[],[ruleD13]) ).

fof(normalize_0_20,plain,
    ! [A,B,C,D,O] :
      ( ~ cong(O,A,O,B)
      | ~ cong(O,A,O,C)
      | ~ cong(O,A,O,D)
      | cyclic(A,B,C,D) ),
    inference(specialize,[],[normalize_0_19]) ).

fof(normalize_0_21,plain,
    ! [A,B,C] :
      ( ~ midp(A,B,C)
      | cong(A,B,A,C) ),
    inference(canonicalize,[],[ruleD68]) ).

fof(normalize_0_22,plain,
    ! [A,B,C] :
      ( ~ midp(A,B,C)
      | cong(A,B,A,C) ),
    inference(specialize,[],[normalize_0_21]) ).

fof(normalize_0_23,plain,
    ! [A,B,C,D] :
      ( ~ coll(C,A,B)
      | ~ coll(D,A,B)
      | ! [M] : ~ midp(M,A,B)
      | ! [N] : ~ midp(N,C,D)
      | ! [Q] :
        ? [P] : midp(P,A,Q) ),
    inference(canonicalize,[],[ruleX7]) ).

fof(normalize_0_24,plain,
    ! [A,B,C,D] :
      ( ~ coll(C,A,B)
      | ~ coll(D,A,B)
      | ! [M] : ~ midp(M,A,B)
      | ! [N] : ~ midp(N,C,D)
      | ! [Q] :
        ? [P] : midp(P,A,Q) ),
    inference(specialize,[],[normalize_0_23]) ).

fof(normalize_0_25,plain,
    ! [A,B,C,D,M,N,Q] :
      ( ~ coll(C,A,B)
      | ~ coll(D,A,B)
      | ~ midp(M,A,B)
      | ~ midp(N,C,D)
      | midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
    inference(clausify,[],[normalize_0_24]) ).

fof(normalize_0_26,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(A,C,B) ),
    inference(canonicalize,[],[ruleD1]) ).

fof(normalize_0_27,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(A,C,B) ),
    inference(specialize,[],[normalize_0_26]) ).

fof(normalize_0_28,plain,
    ! [A,B,C,D] :
      ( ~ coll(A,B,C)
      | ~ coll(A,B,D)
      | coll(C,D,A) ),
    inference(canonicalize,[],[ruleD3]) ).

fof(normalize_0_29,plain,
    ! [A,B,C,D] :
      ( ~ coll(A,B,C)
      | ~ coll(A,B,D)
      | coll(C,D,A) ),
    inference(specialize,[],[normalize_0_28]) ).

fof(normalize_0_30,plain,
    ! [A,B,C] :
      ( ~ para(A,B,A,C)
      | coll(A,B,C) ),
    inference(canonicalize,[],[ruleD66]) ).

fof(normalize_0_31,plain,
    ! [A,B,C] :
      ( ~ para(A,B,A,C)
      | coll(A,B,C) ),
    inference(specialize,[],[normalize_0_30]) ).

fof(normalize_0_32,plain,
    ! [A,B,C,D] :
      ( para(A,B,C,D)
      | ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(canonicalize,[],[ruleD39]) ).

fof(normalize_0_33,plain,
    ! [A,B,C,D] :
      ( para(A,B,C,D)
      | ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(specialize,[],[normalize_0_32]) ).

fof(normalize_0_34,plain,
    ! [A,B,C,D,P,Q] :
      ( ~ eqangle(A,B,P,Q,C,D,P,Q)
      | para(A,B,C,D) ),
    inference(clausify,[],[normalize_0_33]) ).

fof(normalize_0_35,plain,
    midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_36,plain,
    ! [A,B,P,Q] :
      ( ~ cyclic(A,B,P,Q)
      | eqangle(P,A,P,B,Q,A,Q,B) ),
    inference(canonicalize,[],[ruleD41]) ).

fof(normalize_0_37,plain,
    ! [A,B,P,Q] :
      ( ~ cyclic(A,B,P,Q)
      | eqangle(P,A,P,B,Q,A,Q,B) ),
    inference(specialize,[],[normalize_0_36]) ).

fof(normalize_0_38,plain,
    ! [A,B,C,D] :
      ( ~ para(A,B,C,D)
      | ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(canonicalize,[],[ruleD40]) ).

fof(normalize_0_39,plain,
    ! [A,B,C,D] :
      ( ~ para(A,B,C,D)
      | ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(specialize,[],[normalize_0_38]) ).

fof(normalize_0_40,plain,
    ! [A,B,C,D,P,Q] :
      ( ~ para(A,B,C,D)
      | eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(clausify,[],[normalize_0_39]) ).

fof(normalize_0_41,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqangle(A,B,C,D,P,Q,U,V)
      | eqangle(C,D,A,B,U,V,P,Q) ),
    inference(canonicalize,[],[ruleD19]) ).

fof(normalize_0_42,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqangle(A,B,C,D,P,Q,U,V)
      | eqangle(C,D,A,B,U,V,P,Q) ),
    inference(specialize,[],[normalize_0_41]) ).

fof(normalize_0_43,plain,
    ! [A,B,C,D,M] :
      ( ~ midp(M,A,B)
      | ~ para(A,C,B,D)
      | ~ para(A,D,B,C)
      | midp(M,C,D) ),
    inference(canonicalize,[],[ruleD64]) ).

fof(normalize_0_44,plain,
    ! [A,B,C,D,M] :
      ( ~ midp(M,A,B)
      | ~ para(A,C,B,D)
      | ~ para(A,D,B,C)
      | midp(M,C,D) ),
    inference(specialize,[],[normalize_0_43]) ).

fof(normalize_0_45,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | ~ cong(A,B,A,C)
      | midp(A,B,C) ),
    inference(canonicalize,[],[ruleD67]) ).

fof(normalize_0_46,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | ~ cong(A,B,A,C)
      | midp(A,B,C) ),
    inference(specialize,[],[normalize_0_45]) ).

fof(normalize_0_47,plain,
    ! [A,B,M] :
      ( ~ midp(M,B,A)
      | midp(M,A,B) ),
    inference(canonicalize,[],[ruleD11]) ).

fof(normalize_0_48,plain,
    ! [A,B,M] :
      ( ~ midp(M,B,A)
      | midp(M,A,B) ),
    inference(specialize,[],[normalize_0_47]) ).

fof(normalize_0_49,plain,
    ! [A,B,C,D,M,N] :
      ( ~ midp(M,A,B)
      | ~ midp(N,C,D)
      | ? [P] :
          ( midp(P,A,D)
          & para(P,M,B,D)
          & para(P,N,A,C) ) ),
    inference(canonicalize,[],[ruleX6]) ).

fof(normalize_0_50,plain,
    ! [A,B,C,D,M,N] :
      ( ~ midp(M,A,B)
      | ~ midp(N,C,D)
      | ? [P] :
          ( midp(P,A,D)
          & para(P,M,B,D)
          & para(P,N,A,C) ) ),
    inference(specialize,[],[normalize_0_49]) ).

fof(normalize_0_51,plain,
    ! [A,B,C,D,M,N] :
      ( ( ~ midp(M,A,B)
        | ~ midp(N,C,D)
        | midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) )
      & ( ~ midp(M,A,B)
        | ~ midp(N,C,D)
        | para(skolemFOFtoCNF_P(A,B,C,D,M,N),M,B,D) )
      & ( ~ midp(M,A,B)
        | ~ midp(N,C,D)
        | para(skolemFOFtoCNF_P(A,B,C,D,M,N),N,A,C) ) ),
    inference(clausify,[],[normalize_0_50]) ).

fof(normalize_0_52,plain,
    ! [A,B,C,D,M,N] :
      ( ~ midp(M,A,B)
      | ~ midp(N,C,D)
      | midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
    inference(conjunct,[],[normalize_0_51]) ).

fof(normalize_0_53,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(A,B,D,C) ),
    inference(canonicalize,[],[ruleD7]) ).

fof(normalize_0_54,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(A,B,D,C) ),
    inference(specialize,[],[normalize_0_53]) ).

fof(normalize_0_55,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(C,D,A,B) ),
    inference(canonicalize,[],[ruleD8]) ).

fof(normalize_0_56,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(C,D,A,B) ),
    inference(specialize,[],[normalize_0_55]) ).

fof(normalize_0_57,plain,
    perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_58,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(B,A,C) ),
    inference(canonicalize,[],[ruleD2]) ).

fof(normalize_0_59,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(B,A,C) ),
    inference(specialize,[],[normalize_0_58]) ).

fof(normalize_0_60,plain,
    coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_61,plain,
    coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_62,plain,
    coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_63,plain,
    ! [A,B,C,O] :
      ( ~ cong(O,A,O,B)
      | ~ cong(O,A,O,C)
      | circle(O,A,B,C) ),
    inference(canonicalize,[],[ruleD12]) ).

fof(normalize_0_64,plain,
    ! [A,B,C,O] :
      ( ~ cong(O,A,O,B)
      | ~ cong(O,A,O,C)
      | circle(O,A,B,C) ),
    inference(specialize,[],[normalize_0_63]) ).

fof(normalize_0_65,plain,
    ! [A,B,C,O] :
      ( ~ circle(O,A,B,C)
      | ~ coll(O,A,C)
      | perp(A,B,B,C) ),
    inference(canonicalize,[],[ruleD53]) ).

fof(normalize_0_66,plain,
    ! [A,B,C,O] :
      ( ~ circle(O,A,B,C)
      | ~ coll(O,A,C)
      | perp(A,B,B,C) ),
    inference(specialize,[],[normalize_0_65]) ).

cnf(refute_0_0,plain,
    ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( ~ cong(A,B,C,D)
    | cong(A,B,D,C) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ cong(X_9540,X_9541,X_9542,X_9540)
    | cong(X_9540,X_9541,X_9540,X_9542) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_9540)),bind(B,$fot(X_9541)),bind(C,$fot(X_9542)),bind(D,$fot(X_9540))]]) ).

cnf(refute_0_3,plain,
    ( ~ cong(A,B,C,D)
    | cong(C,D,A,B) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_4,plain,
    ( ~ cong(X_9449,X_9447,X_9447,X_9448)
    | cong(X_9447,X_9448,X_9449,X_9447) ),
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_9449)),bind(B,$fot(X_9447)),bind(C,$fot(X_9447)),bind(D,$fot(X_9448))]]) ).

cnf(refute_0_5,plain,
    ( ~ cong(X_9446,X_9444,X_9445,X_9444)
    | cong(X_9446,X_9444,X_9444,X_9445) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_9446)),bind(B,$fot(X_9444)),bind(C,$fot(X_9445)),bind(D,$fot(X_9444))]]) ).

cnf(refute_0_6,plain,
    ( ~ midp(M,A,C)
    | ~ perp(A,B,B,C)
    | cong(A,M,B,M) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_7,plain,
    ( ~ midp(M,X_9427,X_9427)
    | ~ perp(X_9427,X_9426,X_9426,X_9427)
    | cong(X_9427,M,X_9426,M) ),
    inference(subst,[],[refute_0_6:[bind(A,$fot(X_9427)),bind(B,$fot(X_9426)),bind(C,$fot(X_9427))]]) ).

cnf(refute_0_8,plain,
    ( ~ cong(A,P,B,P)
    | ~ cong(A,Q,B,Q)
    | ~ cyclic(A,B,P,Q)
    | perp(P,A,A,Q) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_9,plain,
    ( ~ cong(X_9424,X_9425,X_9424,X_9425)
    | ~ cyclic(X_9424,X_9424,X_9425,X_9425)
    | perp(X_9425,X_9424,X_9424,X_9425) ),
    inference(subst,[],[refute_0_8:[bind(A,$fot(X_9424)),bind(B,$fot(X_9424)),bind(P,$fot(X_9425)),bind(Q,$fot(X_9425))]]) ).

cnf(refute_0_10,plain,
    ( ~ cyclic(A,B,C,D)
    | ~ cyclic(A,B,C,E)
    | cyclic(B,C,D,E) ),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_11,plain,
    ( ~ cyclic(X_9422,X_9422,X_9422,X_9423)
    | cyclic(X_9422,X_9422,X_9423,X_9423) ),
    inference(subst,[],[refute_0_10:[bind(A,$fot(X_9422)),bind(B,$fot(X_9422)),bind(C,$fot(X_9422)),bind(D,$fot(X_9423)),bind(E,$fot(X_9423))]]) ).

cnf(refute_0_12,plain,
    ( ~ cyclic(A,B,C,D)
    | cyclic(A,B,D,C) ),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_13,plain,
    ( ~ cyclic(X_9420,X_9420,X_9421,X_9420)
    | cyclic(X_9420,X_9420,X_9420,X_9421) ),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_9420)),bind(B,$fot(X_9420)),bind(C,$fot(X_9421)),bind(D,$fot(X_9420))]]) ).

cnf(refute_0_14,plain,
    ( ~ cyclic(A,B,C,D)
    | cyclic(A,C,B,D) ),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_15,plain,
    ( ~ cyclic(X_9418,X_9419,X_9418,X_9418)
    | cyclic(X_9418,X_9418,X_9419,X_9418) ),
    inference(subst,[],[refute_0_14:[bind(A,$fot(X_9418)),bind(B,$fot(X_9419)),bind(C,$fot(X_9418)),bind(D,$fot(X_9418))]]) ).

cnf(refute_0_16,plain,
    ( ~ cyclic(A,B,C,D)
    | cyclic(B,A,C,D) ),
    inference(canonicalize,[],[normalize_0_18]) ).

cnf(refute_0_17,plain,
    ( ~ cyclic(X_9417,X_9416,X_9416,X_9416)
    | cyclic(X_9416,X_9417,X_9416,X_9416) ),
    inference(subst,[],[refute_0_16:[bind(A,$fot(X_9417)),bind(B,$fot(X_9416)),bind(C,$fot(X_9416)),bind(D,$fot(X_9416))]]) ).

cnf(refute_0_18,plain,
    ( ~ cong(O,A,O,B)
    | ~ cong(O,A,O,C)
    | ~ cong(O,A,O,D)
    | cyclic(A,B,C,D) ),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_19,plain,
    ( ~ cong(skolemFOFtoCNF_P_1(X_9415,X_9414),X_9415,skolemFOFtoCNF_P_1(X_9415,X_9414),X_9414)
    | cyclic(X_9415,X_9414,X_9414,X_9414) ),
    inference(subst,[],[refute_0_18:[bind(A,$fot(X_9415)),bind(B,$fot(X_9414)),bind(C,$fot(X_9414)),bind(D,$fot(X_9414)),bind(O,$fot(skolemFOFtoCNF_P_1(X_9415,X_9414)))]]) ).

cnf(refute_0_20,plain,
    ( ~ midp(A,B,C)
    | cong(A,B,A,C) ),
    inference(canonicalize,[],[normalize_0_22]) ).

cnf(refute_0_21,plain,
    ( ~ midp(skolemFOFtoCNF_P_1(X_4911,X_4910),X_4911,X_4910)
    | cong(skolemFOFtoCNF_P_1(X_4911,X_4910),X_4911,skolemFOFtoCNF_P_1(X_4911,X_4910),X_4910) ),
    inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_P_1(X_4911,X_4910))),bind(B,$fot(X_4911)),bind(C,$fot(X_4910))]]) ).

cnf(refute_0_22,plain,
    ( ~ coll(C,A,B)
    | ~ coll(D,A,B)
    | ~ midp(M,A,B)
    | ~ midp(N,C,D)
    | midp(skolemFOFtoCNF_P_1(A,Q),A,Q) ),
    inference(canonicalize,[],[normalize_0_25]) ).

cnf(refute_0_23,plain,
    ( ~ coll(D,D,D)
    | ~ midp(N,D,D)
    | midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
    inference(subst,[],[refute_0_22:[bind(A,$fot(D)),bind(B,$fot(D)),bind(C,$fot(D)),bind(M,$fot(N))]]) ).

cnf(refute_0_24,plain,
    ( ~ coll(A,B,C)
    | coll(A,C,B) ),
    inference(canonicalize,[],[normalize_0_27]) ).

cnf(refute_0_25,plain,
    ( ~ coll(X_365,X_365,X_364)
    | coll(X_365,X_364,X_365) ),
    inference(subst,[],[refute_0_24:[bind(A,$fot(X_365)),bind(B,$fot(X_365)),bind(C,$fot(X_364))]]) ).

cnf(refute_0_26,plain,
    ( ~ coll(A,B,C)
    | ~ coll(A,B,D)
    | coll(C,D,A) ),
    inference(canonicalize,[],[normalize_0_29]) ).

cnf(refute_0_27,plain,
    ( ~ coll(X_362,X_363,X_363)
    | coll(X_363,X_363,X_362) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_362)),bind(B,$fot(X_363)),bind(C,$fot(X_363)),bind(D,$fot(X_363))]]) ).

cnf(refute_0_28,plain,
    ( ~ para(A,B,A,C)
    | coll(A,B,C) ),
    inference(canonicalize,[],[normalize_0_31]) ).

cnf(refute_0_29,plain,
    ( ~ para(X_360,X_361,X_360,X_361)
    | coll(X_360,X_361,X_361) ),
    inference(subst,[],[refute_0_28:[bind(A,$fot(X_360)),bind(B,$fot(X_361)),bind(C,$fot(X_361))]]) ).

cnf(refute_0_30,plain,
    ( ~ eqangle(A,B,P,Q,C,D,P,Q)
    | para(A,B,C,D) ),
    inference(canonicalize,[],[normalize_0_34]) ).

cnf(refute_0_31,plain,
    ( ~ eqangle(X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
    | para(X_358,X_359,X_358,X_359) ),
    inference(subst,[],[refute_0_30:[bind(A,$fot(X_358)),bind(B,$fot(X_359)),bind(C,$fot(X_358)),bind(D,$fot(X_359)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_32,plain,
    ( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
    | cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_10:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_33,plain,
    ( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
    | cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_34,plain,
    midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
    inference(canonicalize,[],[normalize_0_35]) ).

cnf(refute_0_35,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
    | cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_36,plain,
    cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_34,refute_0_35]) ).

cnf(refute_0_37,plain,
    cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_36,refute_0_33]) ).

cnf(refute_0_38,plain,
    cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_37,refute_0_32]) ).

cnf(refute_0_39,plain,
    ( ~ cyclic(A,B,P,Q)
    | eqangle(P,A,P,B,Q,A,Q,B) ),
    inference(canonicalize,[],[normalize_0_37]) ).

cnf(refute_0_40,plain,
    ( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
    | eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_39:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_41,plain,
    eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_38,refute_0_40]) ).

cnf(refute_0_42,plain,
    ( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
    | para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_43,plain,
    para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_41,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( ~ para(A,B,C,D)
    | eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(canonicalize,[],[normalize_0_40]) ).

cnf(refute_0_45,plain,
    ( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
    | eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154) ),
    inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).

cnf(refute_0_46,plain,
    eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_153,X_154),
    inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_43,refute_0_45]) ).

cnf(refute_0_47,plain,
    eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357),
    inference(subst,[],[refute_0_46:[bind(X_153,$fot(X_356)),bind(X_154,$fot(X_357))]]) ).

cnf(refute_0_48,plain,
    ( ~ eqangle(A,B,C,D,P,Q,U,V)
    | eqangle(C,D,A,B,U,V,P,Q) ),
    inference(canonicalize,[],[normalize_0_42]) ).

cnf(refute_0_49,plain,
    ( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357)
    | eqangle(X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_48:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_356)),bind(D,$fot(X_357)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(X_356)),bind(V,$fot(X_357))]]) ).

cnf(refute_0_50,plain,
    eqangle(X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_356,X_357) )],[refute_0_47,refute_0_49]) ).

cnf(refute_0_51,plain,
    eqangle(X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
    inference(subst,[],[refute_0_50:[bind(X_356,$fot(X_358)),bind(X_357,$fot(X_359))]]) ).

cnf(refute_0_52,plain,
    para(X_358,X_359,X_358,X_359),
    inference(resolve,[$cnf( eqangle(X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_358,X_359,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_51,refute_0_31]) ).

cnf(refute_0_53,plain,
    para(X_360,X_361,X_360,X_361),
    inference(subst,[],[refute_0_52:[bind(X_358,$fot(X_360)),bind(X_359,$fot(X_361))]]) ).

cnf(refute_0_54,plain,
    coll(X_360,X_361,X_361),
    inference(resolve,[$cnf( para(X_360,X_361,X_360,X_361) )],[refute_0_53,refute_0_29]) ).

cnf(refute_0_55,plain,
    coll(X_362,X_363,X_363),
    inference(subst,[],[refute_0_54:[bind(X_360,$fot(X_362)),bind(X_361,$fot(X_363))]]) ).

cnf(refute_0_56,plain,
    coll(X_363,X_363,X_362),
    inference(resolve,[$cnf( coll(X_362,X_363,X_363) )],[refute_0_55,refute_0_27]) ).

cnf(refute_0_57,plain,
    coll(X_365,X_365,X_364),
    inference(subst,[],[refute_0_56:[bind(X_362,$fot(X_364)),bind(X_363,$fot(X_365))]]) ).

cnf(refute_0_58,plain,
    coll(X_365,X_364,X_365),
    inference(resolve,[$cnf( coll(X_365,X_365,X_364) )],[refute_0_57,refute_0_25]) ).

cnf(refute_0_59,plain,
    coll(D,D,D),
    inference(subst,[],[refute_0_58:[bind(X_364,$fot(D)),bind(X_365,$fot(D))]]) ).

cnf(refute_0_60,plain,
    ( ~ midp(N,D,D)
    | midp(skolemFOFtoCNF_P_1(D,Q),D,Q) ),
    inference(resolve,[$cnf( coll(D,D,D) )],[refute_0_59,refute_0_23]) ).

cnf(refute_0_61,plain,
    ( ~ midp(skolemFOFtoCNF_A,X_4859,X_4859)
    | midp(skolemFOFtoCNF_P_1(X_4859,Q),X_4859,Q) ),
    inference(subst,[],[refute_0_60:[bind(D,$fot(X_4859)),bind(N,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_62,plain,
    para(X_4349,X_4350,X_4349,X_4350),
    inference(subst,[],[refute_0_52:[bind(X_358,$fot(X_4349)),bind(X_359,$fot(X_4350))]]) ).

cnf(refute_0_63,plain,
    ( ~ midp(M,A,B)
    | ~ para(A,C,B,D)
    | ~ para(A,D,B,C)
    | midp(M,C,D) ),
    inference(canonicalize,[],[normalize_0_44]) ).

cnf(refute_0_64,plain,
    ( ~ midp(X_4351,X_4349,X_4349)
    | ~ para(X_4349,X_4350,X_4349,X_4350)
    | midp(X_4351,X_4350,X_4350) ),
    inference(subst,[],[refute_0_63:[bind(A,$fot(X_4349)),bind(B,$fot(X_4349)),bind(C,$fot(X_4350)),bind(D,$fot(X_4350)),bind(M,$fot(X_4351))]]) ).

cnf(refute_0_65,plain,
    ( ~ midp(X_4351,X_4349,X_4349)
    | midp(X_4351,X_4350,X_4350) ),
    inference(resolve,[$cnf( para(X_4349,X_4350,X_4349,X_4350) )],[refute_0_62,refute_0_64]) ).

cnf(refute_0_66,plain,
    ( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
    | midp(skolemFOFtoCNF_A,X_4350,X_4350) ),
    inference(subst,[],[refute_0_65:[bind(X_4349,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(X_4351,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_67,plain,
    ( ~ coll(A,B,C)
    | ~ cong(A,B,A,C)
    | midp(A,B,C) ),
    inference(canonicalize,[],[normalize_0_46]) ).

cnf(refute_0_68,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
    | ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
    | midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
    inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).

cnf(refute_0_69,plain,
    ( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    | ~ perp(skolemFOFtoCNF_A,B,B,skolemFOFtoCNF_B_1)
    | cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),B,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
    inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(M,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).

cnf(refute_0_70,plain,
    ( ~ coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    | ~ cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1)
    | midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_71,plain,
    ( ~ cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
    | cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).

cnf(refute_0_72,plain,
    ( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A)
    | cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
    inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_73,plain,
    ( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
    | cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).

cnf(refute_0_74,plain,
    ( ~ midp(M,B,A)
    | midp(M,A,B) ),
    inference(canonicalize,[],[normalize_0_48]) ).

cnf(refute_0_75,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
    | midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
    inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_76,plain,
    midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_34,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( ~ midp(M,A,B)
    | ~ midp(N,C,D)
    | midp(skolemFOFtoCNF_P(A,B,C,D,M,N),A,D) ),
    inference(canonicalize,[],[normalize_0_52]) ).

cnf(refute_0_78,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    | midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
    inference(subst,[],[refute_0_77:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(skolemFOFtoCNF_O_2)),bind(N,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_79,plain,
    midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_76,refute_0_78]) ).

cnf(refute_0_80,plain,
    ( ~ perp(A,B,C,D)
    | perp(A,B,D,C) ),
    inference(canonicalize,[],[normalize_0_54]) ).

cnf(refute_0_81,plain,
    ( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
    | perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
    inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_82,plain,
    ( ~ perp(A,B,C,D)
    | perp(C,D,A,B) ),
    inference(canonicalize,[],[normalize_0_56]) ).

cnf(refute_0_83,plain,
    ( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
    | perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_84,plain,
    ( ~ perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    | perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_85,plain,
    perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
    inference(canonicalize,[],[normalize_0_57]) ).

cnf(refute_0_86,plain,
    ( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
    | perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_87,plain,
    perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_85,refute_0_86]) ).

cnf(refute_0_88,plain,
    ( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
    | perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_89,plain,
    perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_87,refute_0_88]) ).

cnf(refute_0_90,plain,
    perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_89,refute_0_84]) ).

cnf(refute_0_91,plain,
    perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_90,refute_0_83]) ).

cnf(refute_0_92,plain,
    perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_91,refute_0_81]) ).

cnf(refute_0_93,plain,
    ( ~ midp(X_2558,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    | ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
    | cong(skolemFOFtoCNF_B_1,X_2558,skolemFOFtoCNF_A,X_2558) ),
    inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(M,$fot(X_2558))]]) ).

cnf(refute_0_94,plain,
    ( ~ midp(X_2558,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    | cong(skolemFOFtoCNF_B_1,X_2558,skolemFOFtoCNF_A,X_2558) ),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,plain,
    ( ~ midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    | cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
    inference(subst,[],[refute_0_94:[bind(X_2558,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).

cnf(refute_0_96,plain,
    cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_79,refute_0_95]) ).

cnf(refute_0_97,plain,
    cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_96,refute_0_73]) ).

cnf(refute_0_98,plain,
    cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A) )],[refute_0_97,refute_0_72]) ).

cnf(refute_0_99,plain,
    cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_98,refute_0_71]) ).

cnf(refute_0_100,plain,
    ( ~ coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    | midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_B_1) )],[refute_0_99,refute_0_70]) ).

cnf(refute_0_101,plain,
    ( ~ coll(X_1583,skolemFOFtoCNF_E,C)
    | ~ coll(X_1583,skolemFOFtoCNF_E,X_1584)
    | coll(C,X_1584,X_1583) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1583)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1584))]]) ).

cnf(refute_0_102,plain,
    ( ~ coll(A,B,C)
    | coll(B,A,C) ),
    inference(canonicalize,[],[normalize_0_59]) ).

cnf(refute_0_103,plain,
    ( ~ coll(skolemFOFtoCNF_E,X_1536,X_1537)
    | coll(X_1536,skolemFOFtoCNF_E,X_1537) ),
    inference(subst,[],[refute_0_102:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_1536)),bind(C,$fot(X_1537))]]) ).

cnf(refute_0_104,plain,
    ( ~ coll(X_1502,skolemFOFtoCNF_D,D)
    | ~ coll(X_1502,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
    | coll(skolemFOFtoCNF_E,D,X_1502) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1502)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_105,plain,
    ( ~ coll(skolemFOFtoCNF_D,X_1500,skolemFOFtoCNF_E)
    | coll(X_1500,skolemFOFtoCNF_D,skolemFOFtoCNF_E) ),
    inference(subst,[],[refute_0_102:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1500)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_106,plain,
    ( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E)
    | coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_D) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_107,plain,
    coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
    inference(canonicalize,[],[normalize_0_60]) ).

cnf(refute_0_108,plain,
    ( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    | coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_109,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_D),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_109,refute_0_106]) ).

cnf(refute_0_111,plain,
    ( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1470)
    | ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_D)
    | coll(skolemFOFtoCNF_D,X_1470,skolemFOFtoCNF_E) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1470))]]) ).

cnf(refute_0_112,plain,
    ( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1470)
    | coll(skolemFOFtoCNF_D,X_1470,skolemFOFtoCNF_E) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_D) )],[refute_0_110,refute_0_111]) ).

cnf(refute_0_113,plain,
    coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1470),
    inference(subst,[],[refute_0_56:[bind(X_362,$fot(X_1470)),bind(X_363,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_114,plain,
    coll(skolemFOFtoCNF_D,X_1470,skolemFOFtoCNF_E),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1470) )],[refute_0_113,refute_0_112]) ).

cnf(refute_0_115,plain,
    coll(skolemFOFtoCNF_D,X_1500,skolemFOFtoCNF_E),
    inference(subst,[],[refute_0_114:[bind(X_1470,$fot(X_1500))]]) ).

cnf(refute_0_116,plain,
    coll(X_1500,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1500,skolemFOFtoCNF_E) )],[refute_0_115,refute_0_105]) ).

cnf(refute_0_117,plain,
    coll(X_1502,skolemFOFtoCNF_D,skolemFOFtoCNF_E),
    inference(subst,[],[refute_0_116:[bind(X_1500,$fot(X_1502))]]) ).

cnf(refute_0_118,plain,
    ( ~ coll(X_1502,skolemFOFtoCNF_D,D)
    | coll(skolemFOFtoCNF_E,D,X_1502) ),
    inference(resolve,[$cnf( coll(X_1502,skolemFOFtoCNF_D,skolemFOFtoCNF_E) )],[refute_0_117,refute_0_104]) ).

cnf(refute_0_119,plain,
    coll(X_1468,X_1468,X_1469),
    inference(subst,[],[refute_0_56:[bind(X_362,$fot(X_1469)),bind(X_363,$fot(X_1468))]]) ).

cnf(refute_0_120,plain,
    ( ~ coll(X_1468,X_1468,X_1469)
    | ~ coll(X_1468,X_1468,X_1470)
    | coll(X_1469,X_1470,X_1468) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1468)),bind(B,$fot(X_1468)),bind(C,$fot(X_1469)),bind(D,$fot(X_1470))]]) ).

cnf(refute_0_121,plain,
    ( ~ coll(X_1468,X_1468,X_1470)
    | coll(X_1469,X_1470,X_1468) ),
    inference(resolve,[$cnf( coll(X_1468,X_1468,X_1469) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    coll(X_1468,X_1468,X_1470),
    inference(subst,[],[refute_0_56:[bind(X_362,$fot(X_1470)),bind(X_363,$fot(X_1468))]]) ).

cnf(refute_0_123,plain,
    coll(X_1469,X_1470,X_1468),
    inference(resolve,[$cnf( coll(X_1468,X_1468,X_1470) )],[refute_0_122,refute_0_121]) ).

cnf(refute_0_124,plain,
    coll(X_1502,skolemFOFtoCNF_D,D),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(D)),bind(X_1469,$fot(X_1502)),bind(X_1470,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_125,plain,
    coll(skolemFOFtoCNF_E,D,X_1502),
    inference(resolve,[$cnf( coll(X_1502,skolemFOFtoCNF_D,D) )],[refute_0_124,refute_0_118]) ).

cnf(refute_0_126,plain,
    coll(skolemFOFtoCNF_E,X_1536,X_1537),
    inference(subst,[],[refute_0_125:[bind(D,$fot(X_1536)),bind(X_1502,$fot(X_1537))]]) ).

cnf(refute_0_127,plain,
    coll(X_1536,skolemFOFtoCNF_E,X_1537),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,X_1536,X_1537) )],[refute_0_126,refute_0_103]) ).

cnf(refute_0_128,plain,
    coll(X_1583,skolemFOFtoCNF_E,X_1584),
    inference(subst,[],[refute_0_127:[bind(X_1536,$fot(X_1583)),bind(X_1537,$fot(X_1584))]]) ).

cnf(refute_0_129,plain,
    ( ~ coll(X_1583,skolemFOFtoCNF_E,C)
    | coll(C,X_1584,X_1583) ),
    inference(resolve,[$cnf( coll(X_1583,skolemFOFtoCNF_E,X_1584) )],[refute_0_128,refute_0_101]) ).

cnf(refute_0_130,plain,
    ( ~ coll(X_1577,skolemFOFtoCNF_M_3,C)
    | ~ coll(X_1577,skolemFOFtoCNF_M_3,X_1578)
    | coll(C,X_1578,X_1577) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1577)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(X_1578))]]) ).

cnf(refute_0_131,plain,
    ( ~ coll(X_1486,skolemFOFtoCNF_A,C)
    | ~ coll(X_1486,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3)
    | coll(C,skolemFOFtoCNF_M_3,X_1486) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1486)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).

cnf(refute_0_132,plain,
    ( ~ coll(skolemFOFtoCNF_M_3,X_1485,C)
    | ~ coll(skolemFOFtoCNF_M_3,X_1485,skolemFOFtoCNF_A)
    | coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(X_1485)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_133,plain,
    ( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
    | coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_134,plain,
    coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
    inference(canonicalize,[],[normalize_0_61]) ).

cnf(refute_0_135,plain,
    ( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
    | coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_136,plain,
    coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_136,refute_0_133]) ).

cnf(refute_0_138,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1470)
    | ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3)
    | coll(skolemFOFtoCNF_M_3,X_1470,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(X_1470))]]) ).

cnf(refute_0_139,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1470)
    | coll(skolemFOFtoCNF_M_3,X_1470,skolemFOFtoCNF_A) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1470),
    inference(subst,[],[refute_0_56:[bind(X_362,$fot(X_1470)),bind(X_363,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_141,plain,
    coll(skolemFOFtoCNF_M_3,X_1470,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1470) )],[refute_0_140,refute_0_139]) ).

cnf(refute_0_142,plain,
    coll(skolemFOFtoCNF_M_3,X_1485,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_141:[bind(X_1470,$fot(X_1485))]]) ).

cnf(refute_0_143,plain,
    ( ~ coll(skolemFOFtoCNF_M_3,X_1485,C)
    | coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,X_1485,skolemFOFtoCNF_A) )],[refute_0_142,refute_0_132]) ).

cnf(refute_0_144,plain,
    coll(skolemFOFtoCNF_M_3,X_1485,C),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(C)),bind(X_1469,$fot(skolemFOFtoCNF_M_3)),bind(X_1470,$fot(X_1485))]]) ).

cnf(refute_0_145,plain,
    coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,X_1485,C) )],[refute_0_144,refute_0_143]) ).

cnf(refute_0_146,plain,
    coll(X_1486,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3),
    inference(subst,[],[refute_0_145:[bind(C,$fot(X_1486))]]) ).

cnf(refute_0_147,plain,
    ( ~ coll(X_1486,skolemFOFtoCNF_A,C)
    | coll(C,skolemFOFtoCNF_M_3,X_1486) ),
    inference(resolve,[$cnf( coll(X_1486,skolemFOFtoCNF_A,skolemFOFtoCNF_M_3) )],[refute_0_146,refute_0_131]) ).

cnf(refute_0_148,plain,
    coll(X_1486,skolemFOFtoCNF_A,C),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(C)),bind(X_1469,$fot(X_1486)),bind(X_1470,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_149,plain,
    coll(C,skolemFOFtoCNF_M_3,X_1486),
    inference(resolve,[$cnf( coll(X_1486,skolemFOFtoCNF_A,C) )],[refute_0_148,refute_0_147]) ).

cnf(refute_0_150,plain,
    coll(X_1577,skolemFOFtoCNF_M_3,X_1578),
    inference(subst,[],[refute_0_149:[bind(C,$fot(X_1577)),bind(X_1486,$fot(X_1578))]]) ).

cnf(refute_0_151,plain,
    ( ~ coll(X_1577,skolemFOFtoCNF_M_3,C)
    | coll(C,X_1578,X_1577) ),
    inference(resolve,[$cnf( coll(X_1577,skolemFOFtoCNF_M_3,X_1578) )],[refute_0_150,refute_0_130]) ).

cnf(refute_0_152,plain,
    ( ~ coll(X_1543,skolemFOFtoCNF_D,C)
    | ~ coll(X_1543,skolemFOFtoCNF_D,X_1544)
    | coll(C,X_1544,X_1543) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1543)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1544))]]) ).

cnf(refute_0_153,plain,
    ( ~ coll(X_1501,skolemFOFtoCNF_E,C)
    | ~ coll(X_1501,skolemFOFtoCNF_E,skolemFOFtoCNF_D)
    | coll(C,skolemFOFtoCNF_D,X_1501) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1501)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_154,plain,
    ( ~ coll(skolemFOFtoCNF_D,X_1500,C)
    | ~ coll(skolemFOFtoCNF_D,X_1500,skolemFOFtoCNF_E)
    | coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_D) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1500)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_155,plain,
    ( ~ coll(skolemFOFtoCNF_D,X_1500,C)
    | coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_D) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1500,skolemFOFtoCNF_E) )],[refute_0_115,refute_0_154]) ).

cnf(refute_0_156,plain,
    coll(skolemFOFtoCNF_D,X_1500,C),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(C)),bind(X_1469,$fot(skolemFOFtoCNF_D)),bind(X_1470,$fot(X_1500))]]) ).

cnf(refute_0_157,plain,
    coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_D),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1500,C) )],[refute_0_156,refute_0_155]) ).

cnf(refute_0_158,plain,
    coll(X_1501,skolemFOFtoCNF_E,skolemFOFtoCNF_D),
    inference(subst,[],[refute_0_157:[bind(C,$fot(X_1501))]]) ).

cnf(refute_0_159,plain,
    ( ~ coll(X_1501,skolemFOFtoCNF_E,C)
    | coll(C,skolemFOFtoCNF_D,X_1501) ),
    inference(resolve,[$cnf( coll(X_1501,skolemFOFtoCNF_E,skolemFOFtoCNF_D) )],[refute_0_158,refute_0_153]) ).

cnf(refute_0_160,plain,
    coll(X_1501,skolemFOFtoCNF_E,C),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(C)),bind(X_1469,$fot(X_1501)),bind(X_1470,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_161,plain,
    coll(C,skolemFOFtoCNF_D,X_1501),
    inference(resolve,[$cnf( coll(X_1501,skolemFOFtoCNF_E,C) )],[refute_0_160,refute_0_159]) ).

cnf(refute_0_162,plain,
    coll(X_1543,skolemFOFtoCNF_D,X_1544),
    inference(subst,[],[refute_0_161:[bind(C,$fot(X_1543)),bind(X_1501,$fot(X_1544))]]) ).

cnf(refute_0_163,plain,
    ( ~ coll(X_1543,skolemFOFtoCNF_D,C)
    | coll(C,X_1544,X_1543) ),
    inference(resolve,[$cnf( coll(X_1543,skolemFOFtoCNF_D,X_1544) )],[refute_0_162,refute_0_152]) ).

cnf(refute_0_164,plain,
    ( ~ coll(X_1541,skolemFOFtoCNF_B_1,C)
    | ~ coll(X_1541,skolemFOFtoCNF_B_1,X_1542)
    | coll(C,X_1542,X_1541) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1541)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1542))]]) ).

cnf(refute_0_165,plain,
    ( ~ coll(X_1481,skolemFOFtoCNF_G,C)
    | ~ coll(X_1481,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
    | coll(C,skolemFOFtoCNF_B_1,X_1481) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1481)),bind(B,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_166,plain,
    ( ~ coll(skolemFOFtoCNF_B_1,X_1474,C)
    | ~ coll(skolemFOFtoCNF_B_1,X_1474,skolemFOFtoCNF_G)
    | coll(C,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1474)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).

cnf(refute_0_167,plain,
    ( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_G)
    | coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_G)),bind(D,$fot(skolemFOFtoCNF_G))]]) ).

cnf(refute_0_168,plain,
    coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3),
    inference(canonicalize,[],[normalize_0_62]) ).

cnf(refute_0_169,plain,
    ( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3)
    | coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_M_3) ),
    inference(subst,[],[refute_0_102:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_M_3))]]) ).

cnf(refute_0_170,plain,
    coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_M_3),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    ( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_M_3)
    | coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_G) ),
    inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_M_3))]]) ).

cnf(refute_0_172,plain,
    coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_G),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_G,skolemFOFtoCNF_M_3) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_M_3,skolemFOFtoCNF_G) )],[refute_0_172,refute_0_167]) ).

cnf(refute_0_174,plain,
    ( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1470)
    | ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1)
    | coll(skolemFOFtoCNF_B_1,X_1470,skolemFOFtoCNF_G) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_G)),bind(B,$fot(skolemFOFtoCNF_G)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1470))]]) ).

cnf(refute_0_175,plain,
    ( ~ coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1470)
    | coll(skolemFOFtoCNF_B_1,X_1470,skolemFOFtoCNF_G) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1470),
    inference(subst,[],[refute_0_56:[bind(X_362,$fot(X_1470)),bind(X_363,$fot(skolemFOFtoCNF_G))]]) ).

cnf(refute_0_177,plain,
    coll(skolemFOFtoCNF_B_1,X_1470,skolemFOFtoCNF_G),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_G,skolemFOFtoCNF_G,X_1470) )],[refute_0_176,refute_0_175]) ).

cnf(refute_0_178,plain,
    coll(skolemFOFtoCNF_B_1,X_1474,skolemFOFtoCNF_G),
    inference(subst,[],[refute_0_177:[bind(X_1470,$fot(X_1474))]]) ).

cnf(refute_0_179,plain,
    ( ~ coll(skolemFOFtoCNF_B_1,X_1474,C)
    | coll(C,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1474,skolemFOFtoCNF_G) )],[refute_0_178,refute_0_166]) ).

cnf(refute_0_180,plain,
    coll(skolemFOFtoCNF_B_1,X_1474,C),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(C)),bind(X_1469,$fot(skolemFOFtoCNF_B_1)),bind(X_1470,$fot(X_1474))]]) ).

cnf(refute_0_181,plain,
    coll(C,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1474,C) )],[refute_0_180,refute_0_179]) ).

cnf(refute_0_182,plain,
    coll(X_1481,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1),
    inference(subst,[],[refute_0_181:[bind(C,$fot(X_1481))]]) ).

cnf(refute_0_183,plain,
    ( ~ coll(X_1481,skolemFOFtoCNF_G,C)
    | coll(C,skolemFOFtoCNF_B_1,X_1481) ),
    inference(resolve,[$cnf( coll(X_1481,skolemFOFtoCNF_G,skolemFOFtoCNF_B_1) )],[refute_0_182,refute_0_165]) ).

cnf(refute_0_184,plain,
    coll(X_1481,skolemFOFtoCNF_G,C),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(C)),bind(X_1469,$fot(X_1481)),bind(X_1470,$fot(skolemFOFtoCNF_G))]]) ).

cnf(refute_0_185,plain,
    coll(C,skolemFOFtoCNF_B_1,X_1481),
    inference(resolve,[$cnf( coll(X_1481,skolemFOFtoCNF_G,C) )],[refute_0_184,refute_0_183]) ).

cnf(refute_0_186,plain,
    coll(X_1541,skolemFOFtoCNF_B_1,X_1542),
    inference(subst,[],[refute_0_185:[bind(C,$fot(X_1541)),bind(X_1481,$fot(X_1542))]]) ).

cnf(refute_0_187,plain,
    ( ~ coll(X_1541,skolemFOFtoCNF_B_1,C)
    | coll(C,X_1542,X_1541) ),
    inference(resolve,[$cnf( coll(X_1541,skolemFOFtoCNF_B_1,X_1542) )],[refute_0_186,refute_0_164]) ).

cnf(refute_0_188,plain,
    ( ~ coll(X_1533,skolemFOFtoCNF_A,C)
    | ~ coll(X_1533,skolemFOFtoCNF_A,X_1534)
    | coll(C,X_1534,X_1533) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1533)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1534))]]) ).

cnf(refute_0_189,plain,
    ( ~ coll(X_1532,skolemFOFtoCNF_M_3,C)
    | ~ coll(X_1532,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A)
    | coll(C,skolemFOFtoCNF_A,X_1532) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(X_1532)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_190,plain,
    ( ~ coll(skolemFOFtoCNF_A,X_1505,C)
    | ~ coll(skolemFOFtoCNF_A,X_1505,skolemFOFtoCNF_M_3)
    | coll(C,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1505)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).

cnf(refute_0_191,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3)
    | coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_M_3)),bind(D,$fot(skolemFOFtoCNF_M_3))]]) ).

cnf(refute_0_192,plain,
    ( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
    | coll(skolemFOFtoCNF_A,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_102:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_193,plain,
    coll(skolemFOFtoCNF_A,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_134,refute_0_192]) ).

cnf(refute_0_194,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2)
    | coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3) ),
    inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_195,plain,
    coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_M_3,skolemFOFtoCNF_O_2) )],[refute_0_193,refute_0_194]) ).

cnf(refute_0_196,plain,
    coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_M_3) )],[refute_0_195,refute_0_191]) ).

cnf(refute_0_197,plain,
    ( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_1470)
    | ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A)
    | coll(skolemFOFtoCNF_A,X_1470,skolemFOFtoCNF_M_3) ),
    inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_M_3)),bind(B,$fot(skolemFOFtoCNF_M_3)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1470))]]) ).

cnf(refute_0_198,plain,
    ( ~ coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_1470)
    | coll(skolemFOFtoCNF_A,X_1470,skolemFOFtoCNF_M_3) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A) )],[refute_0_196,refute_0_197]) ).

cnf(refute_0_199,plain,
    coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_1470),
    inference(subst,[],[refute_0_56:[bind(X_362,$fot(X_1470)),bind(X_363,$fot(skolemFOFtoCNF_M_3))]]) ).

cnf(refute_0_200,plain,
    coll(skolemFOFtoCNF_A,X_1470,skolemFOFtoCNF_M_3),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_M_3,skolemFOFtoCNF_M_3,X_1470) )],[refute_0_199,refute_0_198]) ).

cnf(refute_0_201,plain,
    coll(skolemFOFtoCNF_A,X_1505,skolemFOFtoCNF_M_3),
    inference(subst,[],[refute_0_200:[bind(X_1470,$fot(X_1505))]]) ).

cnf(refute_0_202,plain,
    ( ~ coll(skolemFOFtoCNF_A,X_1505,C)
    | coll(C,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1505,skolemFOFtoCNF_M_3) )],[refute_0_201,refute_0_190]) ).

cnf(refute_0_203,plain,
    coll(skolemFOFtoCNF_A,X_1505,C),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(C)),bind(X_1469,$fot(skolemFOFtoCNF_A)),bind(X_1470,$fot(X_1505))]]) ).

cnf(refute_0_204,plain,
    coll(C,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,X_1505,C) )],[refute_0_203,refute_0_202]) ).

cnf(refute_0_205,plain,
    coll(X_1532,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_204:[bind(C,$fot(X_1532))]]) ).

cnf(refute_0_206,plain,
    ( ~ coll(X_1532,skolemFOFtoCNF_M_3,C)
    | coll(C,skolemFOFtoCNF_A,X_1532) ),
    inference(resolve,[$cnf( coll(X_1532,skolemFOFtoCNF_M_3,skolemFOFtoCNF_A) )],[refute_0_205,refute_0_189]) ).

cnf(refute_0_207,plain,
    coll(X_1532,skolemFOFtoCNF_M_3,C),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(C)),bind(X_1469,$fot(X_1532)),bind(X_1470,$fot(skolemFOFtoCNF_M_3))]]) ).

cnf(refute_0_208,plain,
    coll(C,skolemFOFtoCNF_A,X_1532),
    inference(resolve,[$cnf( coll(X_1532,skolemFOFtoCNF_M_3,C) )],[refute_0_207,refute_0_206]) ).

cnf(refute_0_209,plain,
    coll(X_1533,skolemFOFtoCNF_A,X_1534),
    inference(subst,[],[refute_0_208:[bind(C,$fot(X_1533)),bind(X_1532,$fot(X_1534))]]) ).

cnf(refute_0_210,plain,
    ( ~ coll(X_1533,skolemFOFtoCNF_A,C)
    | coll(C,X_1534,X_1533) ),
    inference(resolve,[$cnf( coll(X_1533,skolemFOFtoCNF_A,X_1534) )],[refute_0_209,refute_0_188]) ).

cnf(refute_0_211,plain,
    coll(X_1533,skolemFOFtoCNF_A,C),
    inference(subst,[],[refute_0_123:[bind(X_1468,$fot(C)),bind(X_1469,$fot(X_1533)),bind(X_1470,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_212,plain,
    coll(C,X_1534,X_1533),
    inference(resolve,[$cnf( coll(X_1533,skolemFOFtoCNF_A,C) )],[refute_0_211,refute_0_210]) ).

cnf(refute_0_213,plain,
    coll(X_1541,skolemFOFtoCNF_B_1,C),
    inference(subst,[],[refute_0_212:[bind(C,$fot(X_1541)),bind(X_1533,$fot(C)),bind(X_1534,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_214,plain,
    coll(C,X_1542,X_1541),
    inference(resolve,[$cnf( coll(X_1541,skolemFOFtoCNF_B_1,C) )],[refute_0_213,refute_0_187]) ).

cnf(refute_0_215,plain,
    coll(X_1543,skolemFOFtoCNF_D,C),
    inference(subst,[],[refute_0_214:[bind(C,$fot(X_1543)),bind(X_1541,$fot(C)),bind(X_1542,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_216,plain,
    coll(C,X_1544,X_1543),
    inference(resolve,[$cnf( coll(X_1543,skolemFOFtoCNF_D,C) )],[refute_0_215,refute_0_163]) ).

cnf(refute_0_217,plain,
    coll(X_1577,skolemFOFtoCNF_M_3,C),
    inference(subst,[],[refute_0_216:[bind(C,$fot(X_1577)),bind(X_1543,$fot(C)),bind(X_1544,$fot(skolemFOFtoCNF_M_3))]]) ).

cnf(refute_0_218,plain,
    coll(C,X_1578,X_1577),
    inference(resolve,[$cnf( coll(X_1577,skolemFOFtoCNF_M_3,C) )],[refute_0_217,refute_0_151]) ).

cnf(refute_0_219,plain,
    coll(X_1583,skolemFOFtoCNF_E,C),
    inference(subst,[],[refute_0_218:[bind(C,$fot(X_1583)),bind(X_1577,$fot(C)),bind(X_1578,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_220,plain,
    coll(C,X_1584,X_1583),
    inference(resolve,[$cnf( coll(X_1583,skolemFOFtoCNF_E,C) )],[refute_0_219,refute_0_129]) ).

cnf(refute_0_221,plain,
    coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
    inference(subst,[],[refute_0_220:[bind(C,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(X_1583,$fot(skolemFOFtoCNF_B_1)),bind(X_1584,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_222,plain,
    midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_221,refute_0_100]) ).

cnf(refute_0_223,plain,
    ( ~ perp(skolemFOFtoCNF_A,B,B,skolemFOFtoCNF_B_1)
    | cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),B,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_222,refute_0_69]) ).

cnf(refute_0_224,plain,
    ( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    | cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
    inference(subst,[],[refute_0_223:[bind(B,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_225,plain,
    ( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
    | perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_226,plain,
    ( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_82:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_227,plain,
    ( ~ cong(O,A,O,B)
    | ~ cong(O,A,O,C)
    | circle(O,A,B,C) ),
    inference(canonicalize,[],[normalize_0_64]) ).

cnf(refute_0_228,plain,
    ( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
    | circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_227:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_229,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
    | cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_230,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    | midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_74:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_231,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    | ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1)
    | midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_67:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_232,plain,
    ( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2)
    | cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_233,plain,
    ( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
    | cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_234,plain,
    ( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
    | cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_235,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    | cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_94:[bind(X_2558,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_236,plain,
    cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_76,refute_0_235]) ).

cnf(refute_0_237,plain,
    cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_236,refute_0_234]) ).

cnf(refute_0_238,plain,
    cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_237,refute_0_233]) ).

cnf(refute_0_239,plain,
    cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2) )],[refute_0_238,refute_0_232]) ).

cnf(refute_0_240,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    | midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1) )],[refute_0_239,refute_0_231]) ).

cnf(refute_0_241,plain,
    coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
    inference(subst,[],[refute_0_220:[bind(C,$fot(skolemFOFtoCNF_O_2)),bind(X_1583,$fot(skolemFOFtoCNF_B_1)),bind(X_1584,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_242,plain,
    midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_241,refute_0_240]) ).

cnf(refute_0_243,plain,
    midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_242,refute_0_230]) ).

cnf(refute_0_244,plain,
    cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_243,refute_0_229]) ).

cnf(refute_0_245,plain,
    circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_244,refute_0_228]) ).

cnf(refute_0_246,plain,
    ( ~ circle(O,A,B,C)
    | ~ coll(O,A,C)
    | perp(A,B,B,C) ),
    inference(canonicalize,[],[normalize_0_66]) ).

cnf(refute_0_247,plain,
    coll(O,A,C),
    inference(subst,[],[refute_0_220:[bind(C,$fot(O)),bind(X_1583,$fot(C)),bind(X_1584,$fot(A))]]) ).

cnf(refute_0_248,plain,
    ( ~ circle(O,A,B,C)
    | perp(A,B,B,C) ),
    inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_247,refute_0_246]) ).

cnf(refute_0_249,plain,
    ( ~ circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_250,plain,
    perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_245,refute_0_249]) ).

cnf(refute_0_251,plain,
    perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_250,refute_0_226]) ).

cnf(refute_0_252,plain,
    perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_251,refute_0_225]) ).

cnf(refute_0_253,plain,
    cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_252,refute_0_224]) ).

cnf(refute_0_254,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))
    | midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) ),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_253,refute_0_68]) ).

cnf(refute_0_255,plain,
    coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
    inference(subst,[],[refute_0_220:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_1583,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2))),bind(X_1584,$fot(skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)))]]) ).

cnf(refute_0_256,plain,
    midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_255,refute_0_254]) ).

cnf(refute_0_257,plain,
    midp(skolemFOFtoCNF_A,X_4350,X_4350),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),skolemFOFtoCNF_P(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)) )],[refute_0_256,refute_0_66]) ).

cnf(refute_0_258,plain,
    midp(skolemFOFtoCNF_A,X_4859,X_4859),
    inference(subst,[],[refute_0_257:[bind(X_4350,$fot(X_4859))]]) ).

cnf(refute_0_259,plain,
    midp(skolemFOFtoCNF_P_1(X_4859,Q),X_4859,Q),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_4859,X_4859) )],[refute_0_258,refute_0_61]) ).

cnf(refute_0_260,plain,
    midp(skolemFOFtoCNF_P_1(X_4911,X_4910),X_4911,X_4910),
    inference(subst,[],[refute_0_259:[bind(Q,$fot(X_4910)),bind(X_4859,$fot(X_4911))]]) ).

cnf(refute_0_261,plain,
    cong(skolemFOFtoCNF_P_1(X_4911,X_4910),X_4911,skolemFOFtoCNF_P_1(X_4911,X_4910),X_4910),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_4911,X_4910),X_4911,X_4910) )],[refute_0_260,refute_0_21]) ).

cnf(refute_0_262,plain,
    cong(skolemFOFtoCNF_P_1(X_9415,X_9414),X_9415,skolemFOFtoCNF_P_1(X_9415,X_9414),X_9414),
    inference(subst,[],[refute_0_261:[bind(X_4910,$fot(X_9414)),bind(X_4911,$fot(X_9415))]]) ).

cnf(refute_0_263,plain,
    cyclic(X_9415,X_9414,X_9414,X_9414),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_9415,X_9414),X_9415,skolemFOFtoCNF_P_1(X_9415,X_9414),X_9414) )],[refute_0_262,refute_0_19]) ).

cnf(refute_0_264,plain,
    cyclic(X_9417,X_9416,X_9416,X_9416),
    inference(subst,[],[refute_0_263:[bind(X_9414,$fot(X_9416)),bind(X_9415,$fot(X_9417))]]) ).

cnf(refute_0_265,plain,
    cyclic(X_9416,X_9417,X_9416,X_9416),
    inference(resolve,[$cnf( cyclic(X_9417,X_9416,X_9416,X_9416) )],[refute_0_264,refute_0_17]) ).

cnf(refute_0_266,plain,
    cyclic(X_9418,X_9419,X_9418,X_9418),
    inference(subst,[],[refute_0_265:[bind(X_9416,$fot(X_9418)),bind(X_9417,$fot(X_9419))]]) ).

cnf(refute_0_267,plain,
    cyclic(X_9418,X_9418,X_9419,X_9418),
    inference(resolve,[$cnf( cyclic(X_9418,X_9419,X_9418,X_9418) )],[refute_0_266,refute_0_15]) ).

cnf(refute_0_268,plain,
    cyclic(X_9420,X_9420,X_9421,X_9420),
    inference(subst,[],[refute_0_267:[bind(X_9418,$fot(X_9420)),bind(X_9419,$fot(X_9421))]]) ).

cnf(refute_0_269,plain,
    cyclic(X_9420,X_9420,X_9420,X_9421),
    inference(resolve,[$cnf( cyclic(X_9420,X_9420,X_9421,X_9420) )],[refute_0_268,refute_0_13]) ).

cnf(refute_0_270,plain,
    cyclic(X_9422,X_9422,X_9422,X_9423),
    inference(subst,[],[refute_0_269:[bind(X_9420,$fot(X_9422)),bind(X_9421,$fot(X_9423))]]) ).

cnf(refute_0_271,plain,
    cyclic(X_9422,X_9422,X_9423,X_9423),
    inference(resolve,[$cnf( cyclic(X_9422,X_9422,X_9422,X_9423) )],[refute_0_270,refute_0_11]) ).

cnf(refute_0_272,plain,
    cyclic(X_9424,X_9424,X_9425,X_9425),
    inference(subst,[],[refute_0_271:[bind(X_9422,$fot(X_9424)),bind(X_9423,$fot(X_9425))]]) ).

cnf(refute_0_273,plain,
    ( ~ cong(X_9424,X_9425,X_9424,X_9425)
    | perp(X_9425,X_9424,X_9424,X_9425) ),
    inference(resolve,[$cnf( cyclic(X_9424,X_9424,X_9425,X_9425) )],[refute_0_272,refute_0_9]) ).

cnf(refute_0_274,plain,
    ( ~ midp(X_4890,X_4889,X_4889)
    | cong(X_4890,X_4889,X_4890,X_4889) ),
    inference(subst,[],[refute_0_20:[bind(A,$fot(X_4890)),bind(B,$fot(X_4889)),bind(C,$fot(X_4889))]]) ).

cnf(refute_0_275,plain,
    ( ~ midp(X_4888,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | midp(X_4888,X_4350,X_4350) ),
    inference(subst,[],[refute_0_65:[bind(X_4349,$fot(skolemFOFtoCNF_A)),bind(X_4351,$fot(X_4888))]]) ).

cnf(refute_0_276,plain,
    ( ~ coll(X_4887,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | ~ cong(X_4887,skolemFOFtoCNF_A,X_4887,skolemFOFtoCNF_A)
    | midp(X_4887,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_67:[bind(A,$fot(X_4887)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_277,plain,
    ( ~ cong(X_4885,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4885)
    | cong(X_4885,skolemFOFtoCNF_A,X_4885,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_4885)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4885))]]) ).

cnf(refute_0_278,plain,
    ( ~ cong(skolemFOFtoCNF_A,X_4869,X_4869,skolemFOFtoCNF_A)
    | cong(X_4869,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4869) ),
    inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4869)),bind(C,$fot(X_4869)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_279,plain,
    ( ~ cong(skolemFOFtoCNF_A,X_4863,skolemFOFtoCNF_A,X_4863)
    | cong(skolemFOFtoCNF_A,X_4863,X_4863,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4863)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_4863))]]) ).

cnf(refute_0_280,plain,
    ( ~ midp(skolemFOFtoCNF_A,X_4859,X_4859)
    | cong(skolemFOFtoCNF_A,X_4859,skolemFOFtoCNF_A,X_4859) ),
    inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_4859)),bind(C,$fot(X_4859))]]) ).

cnf(refute_0_281,plain,
    cong(skolemFOFtoCNF_A,X_4859,skolemFOFtoCNF_A,X_4859),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_4859,X_4859) )],[refute_0_258,refute_0_280]) ).

cnf(refute_0_282,plain,
    cong(skolemFOFtoCNF_A,X_4863,skolemFOFtoCNF_A,X_4863),
    inference(subst,[],[refute_0_281:[bind(X_4859,$fot(X_4863))]]) ).

cnf(refute_0_283,plain,
    cong(skolemFOFtoCNF_A,X_4863,X_4863,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_4863,skolemFOFtoCNF_A,X_4863) )],[refute_0_282,refute_0_279]) ).

cnf(refute_0_284,plain,
    cong(skolemFOFtoCNF_A,X_4869,X_4869,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_283:[bind(X_4863,$fot(X_4869))]]) ).

cnf(refute_0_285,plain,
    cong(X_4869,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4869),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_4869,X_4869,skolemFOFtoCNF_A) )],[refute_0_284,refute_0_278]) ).

cnf(refute_0_286,plain,
    cong(X_4885,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4885),
    inference(subst,[],[refute_0_285:[bind(X_4869,$fot(X_4885))]]) ).

cnf(refute_0_287,plain,
    cong(X_4885,skolemFOFtoCNF_A,X_4885,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(X_4885,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_4885) )],[refute_0_286,refute_0_277]) ).

cnf(refute_0_288,plain,
    cong(X_4887,skolemFOFtoCNF_A,X_4887,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_287:[bind(X_4885,$fot(X_4887))]]) ).

cnf(refute_0_289,plain,
    ( ~ coll(X_4887,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | midp(X_4887,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(resolve,[$cnf( cong(X_4887,skolemFOFtoCNF_A,X_4887,skolemFOFtoCNF_A) )],[refute_0_288,refute_0_276]) ).

cnf(refute_0_290,plain,
    coll(X_4887,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_220:[bind(C,$fot(X_4887)),bind(X_1583,$fot(skolemFOFtoCNF_A)),bind(X_1584,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_291,plain,
    midp(X_4887,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(X_4887,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_290,refute_0_289]) ).

cnf(refute_0_292,plain,
    midp(X_4888,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_291:[bind(X_4887,$fot(X_4888))]]) ).

cnf(refute_0_293,plain,
    midp(X_4888,X_4350,X_4350),
    inference(resolve,[$cnf( midp(X_4888,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_292,refute_0_275]) ).

cnf(refute_0_294,plain,
    midp(X_4890,X_4889,X_4889),
    inference(subst,[],[refute_0_293:[bind(X_4350,$fot(X_4889)),bind(X_4888,$fot(X_4890))]]) ).

cnf(refute_0_295,plain,
    cong(X_4890,X_4889,X_4890,X_4889),
    inference(resolve,[$cnf( midp(X_4890,X_4889,X_4889) )],[refute_0_294,refute_0_274]) ).

cnf(refute_0_296,plain,
    cong(X_9424,X_9425,X_9424,X_9425),
    inference(subst,[],[refute_0_295:[bind(X_4889,$fot(X_9425)),bind(X_4890,$fot(X_9424))]]) ).

cnf(refute_0_297,plain,
    perp(X_9425,X_9424,X_9424,X_9425),
    inference(resolve,[$cnf( cong(X_9424,X_9425,X_9424,X_9425) )],[refute_0_296,refute_0_273]) ).

cnf(refute_0_298,plain,
    perp(X_9427,X_9426,X_9426,X_9427),
    inference(subst,[],[refute_0_297:[bind(X_9424,$fot(X_9426)),bind(X_9425,$fot(X_9427))]]) ).

cnf(refute_0_299,plain,
    ( ~ midp(M,X_9427,X_9427)
    | cong(X_9427,M,X_9426,M) ),
    inference(resolve,[$cnf( perp(X_9427,X_9426,X_9426,X_9427) )],[refute_0_298,refute_0_7]) ).

cnf(refute_0_300,plain,
    midp(M,X_9427,X_9427),
    inference(subst,[],[refute_0_293:[bind(X_4350,$fot(X_9427)),bind(X_4888,$fot(M))]]) ).

cnf(refute_0_301,plain,
    cong(X_9427,M,X_9426,M),
    inference(resolve,[$cnf( midp(M,X_9427,X_9427) )],[refute_0_300,refute_0_299]) ).

cnf(refute_0_302,plain,
    cong(X_9446,X_9444,X_9445,X_9444),
    inference(subst,[],[refute_0_301:[bind(M,$fot(X_9444)),bind(X_9426,$fot(X_9445)),bind(X_9427,$fot(X_9446))]]) ).

cnf(refute_0_303,plain,
    cong(X_9446,X_9444,X_9444,X_9445),
    inference(resolve,[$cnf( cong(X_9446,X_9444,X_9445,X_9444) )],[refute_0_302,refute_0_5]) ).

cnf(refute_0_304,plain,
    cong(X_9449,X_9447,X_9447,X_9448),
    inference(subst,[],[refute_0_303:[bind(X_9444,$fot(X_9447)),bind(X_9445,$fot(X_9448)),bind(X_9446,$fot(X_9449))]]) ).

cnf(refute_0_305,plain,
    cong(X_9447,X_9448,X_9449,X_9447),
    inference(resolve,[$cnf( cong(X_9449,X_9447,X_9447,X_9448) )],[refute_0_304,refute_0_4]) ).

cnf(refute_0_306,plain,
    cong(X_9540,X_9541,X_9542,X_9540),
    inference(subst,[],[refute_0_305:[bind(X_9447,$fot(X_9540)),bind(X_9448,$fot(X_9541)),bind(X_9449,$fot(X_9542))]]) ).

cnf(refute_0_307,plain,
    cong(X_9540,X_9541,X_9540,X_9542),
    inference(resolve,[$cnf( cong(X_9540,X_9541,X_9542,X_9540) )],[refute_0_306,refute_0_2]) ).

cnf(refute_0_308,plain,
    cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
    inference(subst,[],[refute_0_307:[bind(X_9540,$fot(skolemFOFtoCNF_E)),bind(X_9541,$fot(skolemFOFtoCNF_A)),bind(X_9542,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_309,plain,
    $false,
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_308,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : GEO592+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 11:31:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 54.46/54.66  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.46/54.66  
% 54.46/54.66  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 54.51/54.69  
%------------------------------------------------------------------------------