%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO595+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.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 05:27:32 EDT 2022

% Result   : Theorem 42.49s 42.66s
% Output   : CNFRefutation 42.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   98
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  459 ( 204 unt;   0 def)
%            Number of atoms       :  846 (   0 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  697 ( 310   ~; 305   |;  52   &)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   : 1031 ( 213 sgn 397   !;  18   ?)

% 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(ruleD69,axiom,
    ! [A,B,C] :
      ( midp(A,B,C)
     => coll(A,B,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(exemplo6GDDFULL416057,conjecture,
    ! [A,B,C,D,O,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
      ( ( perp(D,A,B,C)
        & coll(D,B,C)
        & midp(O,A,D)
        & circle(O,D,NWPNT1,NWPNT2)
        & coll(E,A,B)
        & circle(O,D,E,NWPNT3)
        & coll(F,A,C)
        & circle(O,D,F,NWPNT4) )
     => cyclic(B,C,E,F) ) ).

fof(subgoal_0,plain,
    ! [A,B,C,D,O,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
      ( ( perp(D,A,B,C)
        & coll(D,B,C)
        & midp(O,A,D)
        & circle(O,D,NWPNT1,NWPNT2)
        & coll(E,A,B)
        & circle(O,D,E,NWPNT3)
        & coll(F,A,C)
        & circle(O,D,F,NWPNT4) )
     => cyclic(B,C,E,F) ),
    inference(strip,[],[exemplo6GDDFULL416057]) ).

fof(negate_0_0,plain,
    ~ ! [A,B,C,D,O,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
        ( ( perp(D,A,B,C)
          & coll(D,B,C)
          & midp(O,A,D)
          & circle(O,D,NWPNT1,NWPNT2)
          & coll(E,A,B)
          & circle(O,D,E,NWPNT3)
          & coll(F,A,C)
          & circle(O,D,F,NWPNT4) )
       => cyclic(B,C,E,F) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [A,B,C,D,E,F,O] :
      ( ~ cyclic(B,C,E,F)
      & coll(D,B,C)
      & coll(E,A,B)
      & coll(F,A,C)
      & midp(O,A,D)
      & perp(D,A,B,C)
      & ? [NWPNT3] : circle(O,D,E,NWPNT3)
      & ? [NWPNT4] : circle(O,D,F,NWPNT4)
      & ? [NWPNT1,NWPNT2] : circle(O,D,NWPNT1,NWPNT2) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
    & coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    & coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    & coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
    & midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    & perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    & ? [NWPNT3] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_E,NWPNT3)
    & ? [NWPNT4] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_F,NWPNT4)
    & ? [NWPNT1,NWPNT2] : circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,NWPNT1,NWPNT2) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,C,B,D) ),
    inference(canonicalize,[],[ruleD15]) ).

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

fof(normalize_0_5,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(B,A,C,D) ),
    inference(canonicalize,[],[ruleD16]) ).

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

fof(normalize_0_7,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_8,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_7]) ).

fof(normalize_0_9,plain,
    ! [A,B,C,D] :
      ( ~ cong(A,B,C,D)
      | cong(A,B,D,C) ),
    inference(canonicalize,[],[ruleD23]) ).

fof(normalize_0_10,plain,
    ! [A,B,C,D] :
      ( ~ cong(A,B,C,D)
      | cong(A,B,D,C) ),
    inference(specialize,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [A,B,C,D] :
      ( ~ cong(A,B,C,D)
      | cong(C,D,A,B) ),
    inference(canonicalize,[],[ruleD24]) ).

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

fof(normalize_0_13,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_14,plain,
    ! [A,B,C,M] :
      ( ~ midp(M,A,C)
      | ~ perp(A,B,B,C)
      | cong(A,M,B,M) ),
    inference(specialize,[],[normalize_0_13]) ).

fof(normalize_0_15,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_16,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_15]) ).

fof(normalize_0_17,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_18,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_17]) ).

fof(normalize_0_19,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,B,D,C) ),
    inference(canonicalize,[],[ruleD14]) ).

fof(normalize_0_20,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,B,D,C) ),
    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,D] :
      ( ~ coll(A,B,C)
      | ~ coll(A,B,D)
      | coll(C,D,A) ),
    inference(canonicalize,[],[ruleD3]) ).

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

fof(normalize_0_28,plain,
    ! [A,B,C] :
      ( ~ para(A,B,A,C)
      | coll(A,B,C) ),
    inference(canonicalize,[],[ruleD66]) ).

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

fof(normalize_0_30,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_31,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_30]) ).

fof(normalize_0_32,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_31]) ).

fof(normalize_0_33,plain,
    midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_34,plain,
    ! [A,B,M] :
      ( ~ midp(M,B,A)
      | midp(M,A,B) ),
    inference(canonicalize,[],[ruleD11]) ).

fof(normalize_0_35,plain,
    ! [A,B,M] :
      ( ~ midp(M,B,A)
      | midp(M,A,B) ),
    inference(specialize,[],[normalize_0_34]) ).

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

fof(normalize_0_44,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(A,C,B) ),
    inference(specialize,[],[normalize_0_43]) ).

fof(normalize_0_45,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(B,A,C) ),
    inference(canonicalize,[],[ruleD2]) ).

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

fof(normalize_0_47,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_48,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_47]) ).

fof(normalize_0_49,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | ~ cong(A,B,A,C)
      | midp(A,B,C) ),
    inference(canonicalize,[],[ruleD67]) ).

fof(normalize_0_50,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | ~ cong(A,B,A,C)
      | midp(A,B,C) ),
    inference(specialize,[],[normalize_0_49]) ).

fof(normalize_0_51,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(A,B,D,C) ),
    inference(canonicalize,[],[ruleD7]) ).

fof(normalize_0_52,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(A,B,D,C) ),
    inference(specialize,[],[normalize_0_51]) ).

fof(normalize_0_53,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(C,D,A,B) ),
    inference(canonicalize,[],[ruleD8]) ).

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

fof(normalize_0_55,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_56,plain,
    ! [A,B,C,O] :
      ( ~ cong(O,A,O,B)
      | ~ cong(O,A,O,C)
      | circle(O,A,B,C) ),
    inference(specialize,[],[normalize_0_55]) ).

fof(normalize_0_57,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_58,plain,
    ! [A,B,C,O] :
      ( ~ circle(O,A,B,C)
      | ~ coll(O,A,C)
      | perp(A,B,B,C) ),
    inference(specialize,[],[normalize_0_57]) ).

fof(normalize_0_59,plain,
    coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_60,plain,
    ! [A,B,C] :
      ( ~ midp(A,B,C)
      | coll(A,B,C) ),
    inference(canonicalize,[],[ruleD69]) ).

fof(normalize_0_61,plain,
    ! [A,B,C] :
      ( ~ midp(A,B,C)
      | coll(A,B,C) ),
    inference(specialize,[],[normalize_0_60]) ).

fof(normalize_0_62,plain,
    coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_63,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
    inference(conjunct,[],[normalize_0_1]) ).

cnf(refute_0_0,plain,
    ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
    inference(canonicalize,[],[normalize_0_2]) ).

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

cnf(refute_0_2,plain,
    ( ~ cyclic(X_11847,X_11846,X_11847,X_11848)
    | cyclic(X_11847,X_11847,X_11846,X_11848) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_11847)),bind(B,$fot(X_11846)),bind(C,$fot(X_11847)),bind(D,$fot(X_11848))]]) ).

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

cnf(refute_0_4,plain,
    ( ~ cyclic(X_11843,X_11844,X_11844,X_11845)
    | cyclic(X_11844,X_11843,X_11844,X_11845) ),
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_11843)),bind(B,$fot(X_11844)),bind(C,$fot(X_11844)),bind(D,$fot(X_11845))]]) ).

cnf(refute_0_5,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_8]) ).

cnf(refute_0_6,plain,
    ( ~ cong(O,A,O,C)
    | ~ cong(O,A,O,D)
    | cyclic(A,C,C,D) ),
    inference(subst,[],[refute_0_5:[bind(B,$fot(C))]]) ).

cnf(refute_0_7,plain,
    ( ~ cong(A,B,C,D)
    | cong(A,B,D,C) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_8,plain,
    ( ~ cong(X_3754,X_3755,X_3756,X_3754)
    | cong(X_3754,X_3755,X_3754,X_3756) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(X_3754)),bind(B,$fot(X_3755)),bind(C,$fot(X_3756)),bind(D,$fot(X_3754))]]) ).

cnf(refute_0_9,plain,
    ( ~ cong(A,B,C,D)
    | cong(C,D,A,B) ),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_10,plain,
    ( ~ cong(X_3731,X_3729,X_3729,X_3730)
    | cong(X_3729,X_3730,X_3731,X_3729) ),
    inference(subst,[],[refute_0_9:[bind(A,$fot(X_3731)),bind(B,$fot(X_3729)),bind(C,$fot(X_3729)),bind(D,$fot(X_3730))]]) ).

cnf(refute_0_11,plain,
    ( ~ cong(X_3728,X_3726,X_3727,X_3726)
    | cong(X_3728,X_3726,X_3726,X_3727) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(X_3728)),bind(B,$fot(X_3726)),bind(C,$fot(X_3727)),bind(D,$fot(X_3726))]]) ).

cnf(refute_0_12,plain,
    ( ~ midp(M,A,C)
    | ~ perp(A,B,B,C)
    | cong(A,M,B,M) ),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_13,plain,
    ( ~ midp(M,X_3709,X_3709)
    | ~ perp(X_3709,X_3708,X_3708,X_3709)
    | cong(X_3709,M,X_3708,M) ),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_3709)),bind(B,$fot(X_3708)),bind(C,$fot(X_3709))]]) ).

cnf(refute_0_14,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_16]) ).

cnf(refute_0_15,plain,
    ( ~ cong(X_3706,X_3707,X_3706,X_3707)
    | ~ cyclic(X_3706,X_3706,X_3707,X_3707)
    | perp(X_3707,X_3706,X_3706,X_3707) ),
    inference(subst,[],[refute_0_14:[bind(A,$fot(X_3706)),bind(B,$fot(X_3706)),bind(P,$fot(X_3707)),bind(Q,$fot(X_3707))]]) ).

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

cnf(refute_0_17,plain,
    ( ~ cyclic(X_3704,X_3704,X_3704,X_3705)
    | cyclic(X_3704,X_3704,X_3705,X_3705) ),
    inference(subst,[],[refute_0_16:[bind(A,$fot(X_3704)),bind(B,$fot(X_3704)),bind(C,$fot(X_3704)),bind(D,$fot(X_3705)),bind(E,$fot(X_3705))]]) ).

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

cnf(refute_0_19,plain,
    ( ~ cyclic(X_3702,X_3702,X_3703,X_3702)
    | cyclic(X_3702,X_3702,X_3702,X_3703) ),
    inference(subst,[],[refute_0_18:[bind(A,$fot(X_3702)),bind(B,$fot(X_3702)),bind(C,$fot(X_3703)),bind(D,$fot(X_3702))]]) ).

cnf(refute_0_20,plain,
    ( ~ cyclic(X_3700,X_3701,X_3700,X_3700)
    | cyclic(X_3700,X_3700,X_3701,X_3700) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_3700)),bind(B,$fot(X_3701)),bind(C,$fot(X_3700)),bind(D,$fot(X_3700))]]) ).

cnf(refute_0_21,plain,
    ( ~ cyclic(X_3699,X_3698,X_3698,X_3698)
    | cyclic(X_3698,X_3699,X_3698,X_3698) ),
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_3699)),bind(B,$fot(X_3698)),bind(C,$fot(X_3698)),bind(D,$fot(X_3698))]]) ).

cnf(refute_0_22,plain,
    ( ~ cong(skolemFOFtoCNF_P_1(X_3697,X_3696),X_3697,skolemFOFtoCNF_P_1(X_3697,X_3696),X_3696)
    | cyclic(X_3697,X_3696,X_3696,X_3696) ),
    inference(subst,[],[refute_0_5:[bind(A,$fot(X_3697)),bind(B,$fot(X_3696)),bind(C,$fot(X_3696)),bind(D,$fot(X_3696)),bind(O,$fot(skolemFOFtoCNF_P_1(X_3697,X_3696)))]]) ).

cnf(refute_0_23,plain,
    ( ~ midp(A,B,C)
    | cong(A,B,A,C) ),
    inference(canonicalize,[],[normalize_0_22]) ).

cnf(refute_0_24,plain,
    ( ~ midp(skolemFOFtoCNF_P_1(X_1646,X_1645),X_1646,X_1645)
    | cong(skolemFOFtoCNF_P_1(X_1646,X_1645),X_1646,skolemFOFtoCNF_P_1(X_1646,X_1645),X_1645) ),
    inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_P_1(X_1646,X_1645))),bind(B,$fot(X_1646)),bind(C,$fot(X_1645))]]) ).

cnf(refute_0_25,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_26,plain,
    ( ~ coll(X_1508,X_1508,X_1508)
    | ~ midp(N,X_1508,X_1508)
    | midp(skolemFOFtoCNF_P_1(X_1508,Q),X_1508,Q) ),
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_1508)),bind(B,$fot(X_1508)),bind(C,$fot(X_1508)),bind(D,$fot(X_1508)),bind(M,$fot(N))]]) ).

cnf(refute_0_27,plain,
    ( ~ coll(A,B,C)
    | ~ coll(A,B,D)
    | coll(C,D,A) ),
    inference(canonicalize,[],[normalize_0_27]) ).

cnf(refute_0_28,plain,
    ( ~ coll(X_354,X_355,X_355)
    | coll(X_355,X_355,X_354) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_354)),bind(B,$fot(X_355)),bind(C,$fot(X_355)),bind(D,$fot(X_355))]]) ).

cnf(refute_0_29,plain,
    ( ~ para(A,B,A,C)
    | coll(A,B,C) ),
    inference(canonicalize,[],[normalize_0_29]) ).

cnf(refute_0_30,plain,
    ( ~ para(X_352,X_353,X_352,X_353)
    | coll(X_352,X_353,X_353) ),
    inference(subst,[],[refute_0_29:[bind(A,$fot(X_352)),bind(B,$fot(X_353)),bind(C,$fot(X_353))]]) ).

cnf(refute_0_31,plain,
    ( ~ eqangle(A,B,P,Q,C,D,P,Q)
    | para(A,B,C,D) ),
    inference(canonicalize,[],[normalize_0_32]) ).

cnf(refute_0_32,plain,
    ( ~ eqangle(X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | para(X_350,X_351,X_350,X_351) ),
    inference(subst,[],[refute_0_31:[bind(A,$fot(X_350)),bind(B,$fot(X_351)),bind(C,$fot(X_350)),bind(D,$fot(X_351)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_33,plain,
    ( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_16:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_34,plain,
    ( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
    | cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_35,plain,
    midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
    inference(canonicalize,[],[normalize_0_33]) ).

cnf(refute_0_36,plain,
    ( ~ midp(M,B,A)
    | midp(M,A,B) ),
    inference(canonicalize,[],[normalize_0_35]) ).

cnf(refute_0_37,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    | midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(M,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_38,plain,
    midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_35,refute_0_37]) ).

cnf(refute_0_39,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
    | cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_40,plain,
    cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_39]) ).

cnf(refute_0_41,plain,
    cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_34]) ).

cnf(refute_0_42,plain,
    cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_41,refute_0_33]) ).

cnf(refute_0_43,plain,
    ( ~ cyclic(A,B,P,Q)
    | eqangle(P,A,P,B,Q,A,Q,B) ),
    inference(canonicalize,[],[normalize_0_37]) ).

cnf(refute_0_44,plain,
    ( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_45,plain,
    eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_44]) ).

cnf(refute_0_46,plain,
    ( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_47,plain,
    para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_46]) ).

cnf(refute_0_48,plain,
    ( ~ para(A,B,C,D)
    | eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(canonicalize,[],[normalize_0_40]) ).

cnf(refute_0_49,plain,
    ( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154) ),
    inference(subst,[],[refute_0_48:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(X_153)),bind(Q,$fot(X_154))]]) ).

cnf(refute_0_50,plain,
    eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_153,X_154),
    inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_47,refute_0_49]) ).

cnf(refute_0_51,plain,
    eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349),
    inference(subst,[],[refute_0_50:[bind(X_153,$fot(X_348)),bind(X_154,$fot(X_349))]]) ).

cnf(refute_0_52,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_53,plain,
    ( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349)
    | eqangle(X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_348)),bind(D,$fot(X_349)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_348)),bind(V,$fot(X_349))]]) ).

cnf(refute_0_54,plain,
    eqangle(X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_348,X_349) )],[refute_0_51,refute_0_53]) ).

cnf(refute_0_55,plain,
    eqangle(X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_54:[bind(X_348,$fot(X_350)),bind(X_349,$fot(X_351))]]) ).

cnf(refute_0_56,plain,
    para(X_350,X_351,X_350,X_351),
    inference(resolve,[$cnf( eqangle(X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_350,X_351,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_55,refute_0_32]) ).

cnf(refute_0_57,plain,
    para(X_352,X_353,X_352,X_353),
    inference(subst,[],[refute_0_56:[bind(X_350,$fot(X_352)),bind(X_351,$fot(X_353))]]) ).

cnf(refute_0_58,plain,
    coll(X_352,X_353,X_353),
    inference(resolve,[$cnf( para(X_352,X_353,X_352,X_353) )],[refute_0_57,refute_0_30]) ).

cnf(refute_0_59,plain,
    coll(X_354,X_355,X_355),
    inference(subst,[],[refute_0_58:[bind(X_352,$fot(X_354)),bind(X_353,$fot(X_355))]]) ).

cnf(refute_0_60,plain,
    coll(X_355,X_355,X_354),
    inference(resolve,[$cnf( coll(X_354,X_355,X_355) )],[refute_0_59,refute_0_28]) ).

cnf(refute_0_61,plain,
    coll(X_1397,X_1397,X_1398),
    inference(subst,[],[refute_0_60:[bind(X_354,$fot(X_1398)),bind(X_355,$fot(X_1397))]]) ).

cnf(refute_0_62,plain,
    ( ~ coll(X_1397,X_1397,X_1398)
    | ~ coll(X_1397,X_1397,X_1399)
    | coll(X_1398,X_1399,X_1397) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1397)),bind(B,$fot(X_1397)),bind(C,$fot(X_1398)),bind(D,$fot(X_1399))]]) ).

cnf(refute_0_63,plain,
    ( ~ coll(X_1397,X_1397,X_1399)
    | coll(X_1398,X_1399,X_1397) ),
    inference(resolve,[$cnf( coll(X_1397,X_1397,X_1398) )],[refute_0_61,refute_0_62]) ).

cnf(refute_0_64,plain,
    ( ~ coll(A,B,C)
    | coll(A,C,B) ),
    inference(canonicalize,[],[normalize_0_44]) ).

cnf(refute_0_65,plain,
    ( ~ coll(X_357,X_356,X_357)
    | coll(X_357,X_357,X_356) ),
    inference(subst,[],[refute_0_64:[bind(A,$fot(X_357)),bind(B,$fot(X_356)),bind(C,$fot(X_357))]]) ).

cnf(refute_0_66,plain,
    ( ~ coll(A,B,C)
    | coll(B,A,C) ),
    inference(canonicalize,[],[normalize_0_46]) ).

cnf(refute_0_67,plain,
    ( ~ coll(X_354,X_355,X_355)
    | coll(X_355,X_354,X_355) ),
    inference(subst,[],[refute_0_66:[bind(A,$fot(X_354)),bind(B,$fot(X_355)),bind(C,$fot(X_355))]]) ).

cnf(refute_0_68,plain,
    coll(X_355,X_354,X_355),
    inference(resolve,[$cnf( coll(X_354,X_355,X_355) )],[refute_0_59,refute_0_67]) ).

cnf(refute_0_69,plain,
    coll(X_357,X_356,X_357),
    inference(subst,[],[refute_0_68:[bind(X_354,$fot(X_356)),bind(X_355,$fot(X_357))]]) ).

cnf(refute_0_70,plain,
    coll(X_357,X_357,X_356),
    inference(resolve,[$cnf( coll(X_357,X_356,X_357) )],[refute_0_69,refute_0_65]) ).

cnf(refute_0_71,plain,
    coll(X_1397,X_1397,X_1399),
    inference(subst,[],[refute_0_70:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(X_1397))]]) ).

cnf(refute_0_72,plain,
    coll(X_1398,X_1399,X_1397),
    inference(resolve,[$cnf( coll(X_1397,X_1397,X_1399) )],[refute_0_71,refute_0_63]) ).

cnf(refute_0_73,plain,
    coll(X_1508,X_1508,X_1508),
    inference(subst,[],[refute_0_72:[bind(X_1397,$fot(X_1508)),bind(X_1398,$fot(X_1508)),bind(X_1399,$fot(X_1508))]]) ).

cnf(refute_0_74,plain,
    ( ~ midp(N,X_1508,X_1508)
    | midp(skolemFOFtoCNF_P_1(X_1508,Q),X_1508,Q) ),
    inference(resolve,[$cnf( coll(X_1508,X_1508,X_1508) )],[refute_0_73,refute_0_26]) ).

cnf(refute_0_75,plain,
    ( ~ midp(skolemFOFtoCNF_A,X_1561,X_1561)
    | midp(skolemFOFtoCNF_P_1(X_1561,Q),X_1561,Q) ),
    inference(subst,[],[refute_0_74:[bind(N,$fot(skolemFOFtoCNF_A)),bind(X_1508,$fot(X_1561))]]) ).

cnf(refute_0_76,plain,
    para(X_1522,X_1523,X_1522,X_1523),
    inference(subst,[],[refute_0_56:[bind(X_350,$fot(X_1522)),bind(X_351,$fot(X_1523))]]) ).

cnf(refute_0_77,plain,
    ( ~ midp(M,A,B)
    | ~ para(A,C,B,D)
    | ~ para(A,D,B,C)
    | midp(M,C,D) ),
    inference(canonicalize,[],[normalize_0_48]) ).

cnf(refute_0_78,plain,
    ( ~ midp(X_1524,X_1522,X_1522)
    | ~ para(X_1522,X_1523,X_1522,X_1523)
    | midp(X_1524,X_1523,X_1523) ),
    inference(subst,[],[refute_0_77:[bind(A,$fot(X_1522)),bind(B,$fot(X_1522)),bind(C,$fot(X_1523)),bind(D,$fot(X_1523)),bind(M,$fot(X_1524))]]) ).

cnf(refute_0_79,plain,
    ( ~ midp(X_1524,X_1522,X_1522)
    | midp(X_1524,X_1523,X_1523) ),
    inference(resolve,[$cnf( para(X_1522,X_1523,X_1522,X_1523) )],[refute_0_76,refute_0_78]) ).

cnf(refute_0_80,plain,
    ( ~ midp(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
    | midp(skolemFOFtoCNF_A,X_1523,X_1523) ),
    inference(subst,[],[refute_0_79:[bind(X_1522,$fot(skolemFOFtoCNF_O_2)),bind(X_1524,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_81,plain,
    ( ~ coll(A,B,C)
    | ~ cong(A,B,A,C)
    | midp(A,B,C) ),
    inference(canonicalize,[],[normalize_0_50]) ).

cnf(refute_0_82,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
    | ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
    | midp(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_83,plain,
    ( ~ perp(A,B,C,D)
    | perp(A,B,D,C) ),
    inference(canonicalize,[],[normalize_0_52]) ).

cnf(refute_0_84,plain,
    ( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
    | perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
    inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_85,plain,
    ( ~ perp(A,B,C,D)
    | perp(C,D,A,B) ),
    inference(canonicalize,[],[normalize_0_54]) ).

cnf(refute_0_86,plain,
    ( ~ perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_85:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_87,plain,
    ( ~ cong(O,A,O,B)
    | ~ cong(O,A,O,C)
    | circle(O,A,B,C) ),
    inference(canonicalize,[],[normalize_0_56]) ).

cnf(refute_0_88,plain,
    ( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
    | circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_87:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_89,plain,
    circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_40,refute_0_88]) ).

cnf(refute_0_90,plain,
    ( ~ circle(O,A,B,C)
    | ~ coll(O,A,C)
    | perp(A,B,B,C) ),
    inference(canonicalize,[],[normalize_0_58]) ).

cnf(refute_0_91,plain,
    ( ~ coll(X_1504,skolemFOFtoCNF_F,C)
    | ~ coll(X_1504,skolemFOFtoCNF_F,X_1505)
    | coll(C,X_1505,X_1504) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1504)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1505))]]) ).

cnf(refute_0_92,plain,
    ( ~ coll(X_1492,X_1493,skolemFOFtoCNF_F)
    | coll(X_1492,skolemFOFtoCNF_F,X_1493) ),
    inference(subst,[],[refute_0_64:[bind(A,$fot(X_1492)),bind(B,$fot(X_1493)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).

cnf(refute_0_93,plain,
    ( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,C)
    | ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,X_1449)
    | coll(C,X_1449,skolemFOFtoCNF_F) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1449))]]) ).

cnf(refute_0_94,plain,
    ( ~ coll(skolemFOFtoCNF_F,X_1435,skolemFOFtoCNF_C_1)
    | coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,X_1435) ),
    inference(subst,[],[refute_0_64:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_1435)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_95,plain,
    coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
    inference(canonicalize,[],[normalize_0_59]) ).

cnf(refute_0_96,plain,
    ( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
    | coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_97,plain,
    coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    ( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1399)
    | ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
    | coll(skolemFOFtoCNF_F,X_1399,skolemFOFtoCNF_C_1) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1399))]]) ).

cnf(refute_0_99,plain,
    ( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1399)
    | coll(skolemFOFtoCNF_F,X_1399,skolemFOFtoCNF_C_1) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1399),
    inference(subst,[],[refute_0_70:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_101,plain,
    coll(skolemFOFtoCNF_F,X_1399,skolemFOFtoCNF_C_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1399) )],[refute_0_100,refute_0_99]) ).

cnf(refute_0_102,plain,
    coll(skolemFOFtoCNF_F,X_1435,skolemFOFtoCNF_C_1),
    inference(subst,[],[refute_0_101:[bind(X_1399,$fot(X_1435))]]) ).

cnf(refute_0_103,plain,
    coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,X_1435),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_1435,skolemFOFtoCNF_C_1) )],[refute_0_102,refute_0_94]) ).

cnf(refute_0_104,plain,
    coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,X_1449),
    inference(subst,[],[refute_0_103:[bind(X_1435,$fot(X_1449))]]) ).

cnf(refute_0_105,plain,
    ( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,C)
    | coll(C,X_1449,skolemFOFtoCNF_F) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,X_1449) )],[refute_0_104,refute_0_93]) ).

cnf(refute_0_106,plain,
    coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,C),
    inference(subst,[],[refute_0_72:[bind(X_1397,$fot(C)),bind(X_1398,$fot(skolemFOFtoCNF_F)),bind(X_1399,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_107,plain,
    coll(C,X_1449,skolemFOFtoCNF_F),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,C) )],[refute_0_106,refute_0_105]) ).

cnf(refute_0_108,plain,
    coll(X_1492,X_1493,skolemFOFtoCNF_F),
    inference(subst,[],[refute_0_107:[bind(C,$fot(X_1492)),bind(X_1449,$fot(X_1493))]]) ).

cnf(refute_0_109,plain,
    coll(X_1492,skolemFOFtoCNF_F,X_1493),
    inference(resolve,[$cnf( coll(X_1492,X_1493,skolemFOFtoCNF_F) )],[refute_0_108,refute_0_92]) ).

cnf(refute_0_110,plain,
    coll(X_1504,skolemFOFtoCNF_F,X_1505),
    inference(subst,[],[refute_0_109:[bind(X_1492,$fot(X_1504)),bind(X_1493,$fot(X_1505))]]) ).

cnf(refute_0_111,plain,
    ( ~ coll(X_1504,skolemFOFtoCNF_F,C)
    | coll(C,X_1505,X_1504) ),
    inference(resolve,[$cnf( coll(X_1504,skolemFOFtoCNF_F,X_1505) )],[refute_0_110,refute_0_91]) ).

cnf(refute_0_112,plain,
    ( ~ coll(X_1500,skolemFOFtoCNF_O_2,C)
    | ~ coll(X_1500,skolemFOFtoCNF_O_2,X_1501)
    | coll(C,X_1501,X_1500) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1500)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_1501))]]) ).

cnf(refute_0_113,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,X_1498,X_1499)
    | coll(X_1498,skolemFOFtoCNF_O_2,X_1499) ),
    inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(X_1498)),bind(C,$fot(X_1499))]]) ).

cnf(refute_0_114,plain,
    ( ~ coll(X_1481,X_1482,D)
    | ~ coll(X_1481,X_1482,skolemFOFtoCNF_O_2)
    | coll(skolemFOFtoCNF_O_2,D,X_1481) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1481)),bind(B,$fot(X_1482)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_115,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,C)
    | ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,X_1467)
    | coll(C,X_1467,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1467))]]) ).

cnf(refute_0_116,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,X_1416,skolemFOFtoCNF_D)
    | coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,X_1416) ),
    inference(subst,[],[refute_0_64:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(X_1416)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_117,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    | coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_118,plain,
    ( ~ midp(A,B,C)
    | coll(A,B,C) ),
    inference(canonicalize,[],[normalize_0_61]) ).

cnf(refute_0_119,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    | coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
    inference(subst,[],[refute_0_118:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_120,plain,
    coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_35,refute_0_119]) ).

cnf(refute_0_121,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_120,refute_0_117]) ).

cnf(refute_0_122,plain,
    ( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1399)
    | ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2)
    | coll(skolemFOFtoCNF_O_2,X_1399,skolemFOFtoCNF_D) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_1399))]]) ).

cnf(refute_0_123,plain,
    ( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1399)
    | coll(skolemFOFtoCNF_O_2,X_1399,skolemFOFtoCNF_D) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_O_2) )],[refute_0_121,refute_0_122]) ).

cnf(refute_0_124,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1399),
    inference(subst,[],[refute_0_70:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_125,plain,
    coll(skolemFOFtoCNF_O_2,X_1399,skolemFOFtoCNF_D),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_D,X_1399) )],[refute_0_124,refute_0_123]) ).

cnf(refute_0_126,plain,
    coll(skolemFOFtoCNF_O_2,X_1416,skolemFOFtoCNF_D),
    inference(subst,[],[refute_0_125:[bind(X_1399,$fot(X_1416))]]) ).

cnf(refute_0_127,plain,
    coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,X_1416),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,X_1416,skolemFOFtoCNF_D) )],[refute_0_126,refute_0_116]) ).

cnf(refute_0_128,plain,
    coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,X_1467),
    inference(subst,[],[refute_0_127:[bind(X_1416,$fot(X_1467))]]) ).

cnf(refute_0_129,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,C)
    | coll(C,X_1467,skolemFOFtoCNF_O_2) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,X_1467) )],[refute_0_128,refute_0_115]) ).

cnf(refute_0_130,plain,
    ( ~ coll(X_1462,skolemFOFtoCNF_E,C)
    | ~ coll(X_1462,skolemFOFtoCNF_E,X_1463)
    | coll(C,X_1463,X_1462) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1462)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1463))]]) ).

cnf(refute_0_131,plain,
    ( ~ coll(X_1440,skolemFOFtoCNF_B_1,C)
    | ~ coll(X_1440,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
    | coll(C,skolemFOFtoCNF_E,X_1440) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1440)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_132,plain,
    ( ~ coll(skolemFOFtoCNF_B_1,X_1439,skolemFOFtoCNF_E)
    | coll(X_1439,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
    inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1439)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_133,plain,
    ( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
    | coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_134,plain,
    coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
    inference(canonicalize,[],[normalize_0_62]) ).

cnf(refute_0_135,plain,
    ( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
    | coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_136,plain,
    coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_136,refute_0_133]) ).

cnf(refute_0_138,plain,
    ( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1399)
    | ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
    | coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_E) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1399))]]) ).

cnf(refute_0_139,plain,
    ( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1399)
    | coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_E) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1399),
    inference(subst,[],[refute_0_70:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_141,plain,
    coll(skolemFOFtoCNF_B_1,X_1399,skolemFOFtoCNF_E),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1399) )],[refute_0_140,refute_0_139]) ).

cnf(refute_0_142,plain,
    coll(skolemFOFtoCNF_B_1,X_1439,skolemFOFtoCNF_E),
    inference(subst,[],[refute_0_141:[bind(X_1399,$fot(X_1439))]]) ).

cnf(refute_0_143,plain,
    coll(X_1439,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1439,skolemFOFtoCNF_E) )],[refute_0_142,refute_0_132]) ).

cnf(refute_0_144,plain,
    coll(X_1440,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
    inference(subst,[],[refute_0_143:[bind(X_1439,$fot(X_1440))]]) ).

cnf(refute_0_145,plain,
    ( ~ coll(X_1440,skolemFOFtoCNF_B_1,C)
    | coll(C,skolemFOFtoCNF_E,X_1440) ),
    inference(resolve,[$cnf( coll(X_1440,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_144,refute_0_131]) ).

cnf(refute_0_146,plain,
    coll(X_1440,skolemFOFtoCNF_B_1,C),
    inference(subst,[],[refute_0_72:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1440)),bind(X_1399,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_147,plain,
    coll(C,skolemFOFtoCNF_E,X_1440),
    inference(resolve,[$cnf( coll(X_1440,skolemFOFtoCNF_B_1,C) )],[refute_0_146,refute_0_145]) ).

cnf(refute_0_148,plain,
    coll(X_1462,skolemFOFtoCNF_E,X_1463),
    inference(subst,[],[refute_0_147:[bind(C,$fot(X_1462)),bind(X_1440,$fot(X_1463))]]) ).

cnf(refute_0_149,plain,
    ( ~ coll(X_1462,skolemFOFtoCNF_E,C)
    | coll(C,X_1463,X_1462) ),
    inference(resolve,[$cnf( coll(X_1462,skolemFOFtoCNF_E,X_1463) )],[refute_0_148,refute_0_130]) ).

cnf(refute_0_150,plain,
    ( ~ coll(X_1456,skolemFOFtoCNF_A,C)
    | ~ coll(X_1456,skolemFOFtoCNF_A,X_1457)
    | coll(C,X_1457,X_1456) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1456)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1457))]]) ).

cnf(refute_0_151,plain,
    ( ~ coll(X_1455,skolemFOFtoCNF_F,C)
    | ~ coll(X_1455,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
    | coll(C,skolemFOFtoCNF_A,X_1455) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1455)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_152,plain,
    ( ~ coll(skolemFOFtoCNF_F,X_1411,skolemFOFtoCNF_A)
    | coll(X_1411,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(X_1411)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_153,plain,
    ( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
    | coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_154,plain,
    ( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
    | coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_64:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_155,plain,
    coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_95,refute_0_154]) ).

cnf(refute_0_156,plain,
    coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_155,refute_0_153]) ).

cnf(refute_0_157,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399)
    | ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
    | coll(skolemFOFtoCNF_F,X_1399,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1399))]]) ).

cnf(refute_0_158,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399)
    | coll(skolemFOFtoCNF_F,X_1399,skolemFOFtoCNF_A) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_156,refute_0_157]) ).

cnf(refute_0_159,plain,
    coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399),
    inference(subst,[],[refute_0_70:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_160,plain,
    coll(skolemFOFtoCNF_F,X_1399,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399) )],[refute_0_159,refute_0_158]) ).

cnf(refute_0_161,plain,
    coll(skolemFOFtoCNF_F,X_1411,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_160:[bind(X_1399,$fot(X_1411))]]) ).

cnf(refute_0_162,plain,
    coll(X_1411,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,X_1411,skolemFOFtoCNF_A) )],[refute_0_161,refute_0_152]) ).

cnf(refute_0_163,plain,
    coll(X_1455,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_162:[bind(X_1411,$fot(X_1455))]]) ).

cnf(refute_0_164,plain,
    ( ~ coll(X_1455,skolemFOFtoCNF_F,C)
    | coll(C,skolemFOFtoCNF_A,X_1455) ),
    inference(resolve,[$cnf( coll(X_1455,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_163,refute_0_151]) ).

cnf(refute_0_165,plain,
    coll(X_1455,skolemFOFtoCNF_F,C),
    inference(subst,[],[refute_0_72:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1455)),bind(X_1399,$fot(skolemFOFtoCNF_F))]]) ).

cnf(refute_0_166,plain,
    coll(C,skolemFOFtoCNF_A,X_1455),
    inference(resolve,[$cnf( coll(X_1455,skolemFOFtoCNF_F,C) )],[refute_0_165,refute_0_164]) ).

cnf(refute_0_167,plain,
    coll(X_1456,skolemFOFtoCNF_A,X_1457),
    inference(subst,[],[refute_0_166:[bind(C,$fot(X_1456)),bind(X_1455,$fot(X_1457))]]) ).

cnf(refute_0_168,plain,
    ( ~ coll(X_1456,skolemFOFtoCNF_A,C)
    | coll(C,X_1457,X_1456) ),
    inference(resolve,[$cnf( coll(X_1456,skolemFOFtoCNF_A,X_1457) )],[refute_0_167,refute_0_150]) ).

cnf(refute_0_169,plain,
    coll(X_1456,skolemFOFtoCNF_A,C),
    inference(subst,[],[refute_0_72:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1456)),bind(X_1399,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_170,plain,
    coll(C,X_1457,X_1456),
    inference(resolve,[$cnf( coll(X_1456,skolemFOFtoCNF_A,C) )],[refute_0_169,refute_0_168]) ).

cnf(refute_0_171,plain,
    coll(X_1462,skolemFOFtoCNF_E,C),
    inference(subst,[],[refute_0_170:[bind(C,$fot(X_1462)),bind(X_1456,$fot(C)),bind(X_1457,$fot(skolemFOFtoCNF_E))]]) ).

cnf(refute_0_172,plain,
    coll(C,X_1463,X_1462),
    inference(resolve,[$cnf( coll(X_1462,skolemFOFtoCNF_E,C) )],[refute_0_171,refute_0_149]) ).

cnf(refute_0_173,plain,
    coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,C),
    inference(subst,[],[refute_0_172:[bind(C,$fot(skolemFOFtoCNF_O_2)),bind(X_1462,$fot(C)),bind(X_1463,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_174,plain,
    coll(C,X_1467,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,C) )],[refute_0_173,refute_0_129]) ).

cnf(refute_0_175,plain,
    coll(X_1481,X_1482,skolemFOFtoCNF_O_2),
    inference(subst,[],[refute_0_174:[bind(C,$fot(X_1481)),bind(X_1467,$fot(X_1482))]]) ).

cnf(refute_0_176,plain,
    ( ~ coll(X_1481,X_1482,D)
    | coll(skolemFOFtoCNF_O_2,D,X_1481) ),
    inference(resolve,[$cnf( coll(X_1481,X_1482,skolemFOFtoCNF_O_2) )],[refute_0_175,refute_0_114]) ).

cnf(refute_0_177,plain,
    coll(X_1481,X_1482,D),
    inference(subst,[],[refute_0_172:[bind(C,$fot(X_1481)),bind(X_1462,$fot(D)),bind(X_1463,$fot(X_1482))]]) ).

cnf(refute_0_178,plain,
    coll(skolemFOFtoCNF_O_2,D,X_1481),
    inference(resolve,[$cnf( coll(X_1481,X_1482,D) )],[refute_0_177,refute_0_176]) ).

cnf(refute_0_179,plain,
    coll(skolemFOFtoCNF_O_2,X_1498,X_1499),
    inference(subst,[],[refute_0_178:[bind(D,$fot(X_1498)),bind(X_1481,$fot(X_1499))]]) ).

cnf(refute_0_180,plain,
    coll(X_1498,skolemFOFtoCNF_O_2,X_1499),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,X_1498,X_1499) )],[refute_0_179,refute_0_113]) ).

cnf(refute_0_181,plain,
    coll(X_1500,skolemFOFtoCNF_O_2,X_1501),
    inference(subst,[],[refute_0_180:[bind(X_1498,$fot(X_1500)),bind(X_1499,$fot(X_1501))]]) ).

cnf(refute_0_182,plain,
    ( ~ coll(X_1500,skolemFOFtoCNF_O_2,C)
    | coll(C,X_1501,X_1500) ),
    inference(resolve,[$cnf( coll(X_1500,skolemFOFtoCNF_O_2,X_1501) )],[refute_0_181,refute_0_112]) ).

cnf(refute_0_183,plain,
    ( ~ coll(X_1488,skolemFOFtoCNF_C_1,C)
    | ~ coll(X_1488,skolemFOFtoCNF_C_1,X_1489)
    | coll(C,X_1489,X_1488) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1488)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1489))]]) ).

cnf(refute_0_184,plain,
    ( ~ coll(X_1446,skolemFOFtoCNF_D,C)
    | ~ coll(X_1446,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
    | coll(C,skolemFOFtoCNF_C_1,X_1446) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1446)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_185,plain,
    ( ~ coll(skolemFOFtoCNF_D,X_1434,skolemFOFtoCNF_C_1)
    | coll(X_1434,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
    inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1434)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_186,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
    inference(canonicalize,[],[normalize_0_63]) ).

cnf(refute_0_187,plain,
    ( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    | coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_188,plain,
    coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_186,refute_0_187]) ).

cnf(refute_0_189,plain,
    ( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1399)
    | ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
    | coll(skolemFOFtoCNF_D,X_1399,skolemFOFtoCNF_C_1) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1399))]]) ).

cnf(refute_0_190,plain,
    ( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1399)
    | coll(skolemFOFtoCNF_D,X_1399,skolemFOFtoCNF_C_1) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    coll(skolemFOFtoCNF_D,X_1399,skolemFOFtoCNF_C_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1399) )],[refute_0_100,refute_0_190]) ).

cnf(refute_0_192,plain,
    coll(skolemFOFtoCNF_D,X_1434,skolemFOFtoCNF_C_1),
    inference(subst,[],[refute_0_191:[bind(X_1399,$fot(X_1434))]]) ).

cnf(refute_0_193,plain,
    coll(X_1434,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1434,skolemFOFtoCNF_C_1) )],[refute_0_192,refute_0_185]) ).

cnf(refute_0_194,plain,
    coll(X_1446,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
    inference(subst,[],[refute_0_193:[bind(X_1434,$fot(X_1446))]]) ).

cnf(refute_0_195,plain,
    ( ~ coll(X_1446,skolemFOFtoCNF_D,C)
    | coll(C,skolemFOFtoCNF_C_1,X_1446) ),
    inference(resolve,[$cnf( coll(X_1446,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_194,refute_0_184]) ).

cnf(refute_0_196,plain,
    coll(X_1446,skolemFOFtoCNF_D,C),
    inference(subst,[],[refute_0_72:[bind(X_1397,$fot(C)),bind(X_1398,$fot(X_1446)),bind(X_1399,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_197,plain,
    coll(C,skolemFOFtoCNF_C_1,X_1446),
    inference(resolve,[$cnf( coll(X_1446,skolemFOFtoCNF_D,C) )],[refute_0_196,refute_0_195]) ).

cnf(refute_0_198,plain,
    coll(X_1488,skolemFOFtoCNF_C_1,X_1489),
    inference(subst,[],[refute_0_197:[bind(C,$fot(X_1488)),bind(X_1446,$fot(X_1489))]]) ).

cnf(refute_0_199,plain,
    ( ~ coll(X_1488,skolemFOFtoCNF_C_1,C)
    | coll(C,X_1489,X_1488) ),
    inference(resolve,[$cnf( coll(X_1488,skolemFOFtoCNF_C_1,X_1489) )],[refute_0_198,refute_0_183]) ).

cnf(refute_0_200,plain,
    ( ~ coll(X_1486,skolemFOFtoCNF_D,C)
    | ~ coll(X_1486,skolemFOFtoCNF_D,X_1487)
    | coll(C,X_1487,X_1486) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1486)),bind(B,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1487))]]) ).

cnf(refute_0_201,plain,
    ( ~ coll(X_1479,X_1480,skolemFOFtoCNF_D)
    | coll(X_1479,skolemFOFtoCNF_D,X_1480) ),
    inference(subst,[],[refute_0_64:[bind(A,$fot(X_1479)),bind(B,$fot(X_1480)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_202,plain,
    ( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,C)
    | ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,X_1424)
    | coll(C,X_1424,skolemFOFtoCNF_D) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1424))]]) ).

cnf(refute_0_203,plain,
    ( ~ coll(skolemFOFtoCNF_D,X_1410,skolemFOFtoCNF_A)
    | coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,X_1410) ),
    inference(subst,[],[refute_0_64:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1410)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_204,plain,
    ( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
    | coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_205,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
    | coll(skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_206,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A)
    | coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_118:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_207,plain,
    coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_38,refute_0_206]) ).

cnf(refute_0_208,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_207,refute_0_205]) ).

cnf(refute_0_209,plain,
    coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_208,refute_0_204]) ).

cnf(refute_0_210,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399)
    | ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    | coll(skolemFOFtoCNF_D,X_1399,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_1399))]]) ).

cnf(refute_0_211,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399)
    | coll(skolemFOFtoCNF_D,X_1399,skolemFOFtoCNF_A) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_209,refute_0_210]) ).

cnf(refute_0_212,plain,
    coll(skolemFOFtoCNF_D,X_1399,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1399) )],[refute_0_159,refute_0_211]) ).

cnf(refute_0_213,plain,
    coll(skolemFOFtoCNF_D,X_1410,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_212:[bind(X_1399,$fot(X_1410))]]) ).

cnf(refute_0_214,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,X_1410),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,X_1410,skolemFOFtoCNF_A) )],[refute_0_213,refute_0_203]) ).

cnf(refute_0_215,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,X_1424),
    inference(subst,[],[refute_0_214:[bind(X_1410,$fot(X_1424))]]) ).

cnf(refute_0_216,plain,
    ( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,C)
    | coll(C,X_1424,skolemFOFtoCNF_D) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,X_1424) )],[refute_0_215,refute_0_202]) ).

cnf(refute_0_217,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,C),
    inference(subst,[],[refute_0_72:[bind(X_1397,$fot(C)),bind(X_1398,$fot(skolemFOFtoCNF_D)),bind(X_1399,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_218,plain,
    coll(C,X_1424,skolemFOFtoCNF_D),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_A,C) )],[refute_0_217,refute_0_216]) ).

cnf(refute_0_219,plain,
    coll(X_1479,X_1480,skolemFOFtoCNF_D),
    inference(subst,[],[refute_0_218:[bind(C,$fot(X_1479)),bind(X_1424,$fot(X_1480))]]) ).

cnf(refute_0_220,plain,
    coll(X_1479,skolemFOFtoCNF_D,X_1480),
    inference(resolve,[$cnf( coll(X_1479,X_1480,skolemFOFtoCNF_D) )],[refute_0_219,refute_0_201]) ).

cnf(refute_0_221,plain,
    coll(X_1486,skolemFOFtoCNF_D,X_1487),
    inference(subst,[],[refute_0_220:[bind(X_1479,$fot(X_1486)),bind(X_1480,$fot(X_1487))]]) ).

cnf(refute_0_222,plain,
    ( ~ coll(X_1486,skolemFOFtoCNF_D,C)
    | coll(C,X_1487,X_1486) ),
    inference(resolve,[$cnf( coll(X_1486,skolemFOFtoCNF_D,X_1487) )],[refute_0_221,refute_0_200]) ).

cnf(refute_0_223,plain,
    ( ~ coll(X_1483,skolemFOFtoCNF_B_1,C)
    | ~ coll(X_1483,skolemFOFtoCNF_B_1,X_1484)
    | coll(C,X_1484,X_1483) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1483)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1484))]]) ).

cnf(refute_0_224,plain,
    ( ~ coll(X_1468,skolemFOFtoCNF_C_1,C)
    | ~ coll(X_1468,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
    | coll(C,skolemFOFtoCNF_B_1,X_1468) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_1468)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_225,plain,
    ( ~ coll(skolemFOFtoCNF_C_1,X_1430,skolemFOFtoCNF_B_1)
    | coll(X_1430,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1430)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_226,plain,
    ( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
    | coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_227,plain,
    ( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    | coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_64:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_228,plain,
    coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_186,refute_0_227]) ).

cnf(refute_0_229,plain,
    ( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
    | coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_66:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_230,plain,
    coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_230,refute_0_226]) ).

cnf(refute_0_232,plain,
    ( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1399)
    | ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
    | coll(skolemFOFtoCNF_C_1,X_1399,skolemFOFtoCNF_B_1) ),
    inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1399))]]) ).

cnf(refute_0_233,plain,
    ( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1399)
    | coll(skolemFOFtoCNF_C_1,X_1399,skolemFOFtoCNF_B_1) ),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1399),
    inference(subst,[],[refute_0_70:[bind(X_356,$fot(X_1399)),bind(X_357,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_235,plain,
    coll(skolemFOFtoCNF_C_1,X_1399,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1399) )],[refute_0_234,refute_0_233]) ).

cnf(refute_0_236,plain,
    coll(skolemFOFtoCNF_C_1,X_1430,skolemFOFtoCNF_B_1),
    inference(subst,[],[refute_0_235:[bind(X_1399,$fot(X_1430))]]) ).

cnf(refute_0_237,plain,
    coll(X_1430,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,X_1430,skolemFOFtoCNF_B_1) )],[refute_0_236,refute_0_225]) ).

cnf(refute_0_238,plain,
    coll(X_1468,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
    inference(subst,[],[refute_0_237:[bind(X_1430,$fot(X_1468))]]) ).

cnf(refute_0_239,plain,
    ( ~ coll(X_1468,skolemFOFtoCNF_C_1,C)
    | coll(C,skolemFOFtoCNF_B_1,X_1468) ),
    inference(resolve,[$cnf( coll(X_1468,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_238,refute_0_224]) ).

cnf(refute_0_240,plain,
    coll(X_1468,skolemFOFtoCNF_C_1,C),
    inference(subst,[],[refute_0_172:[bind(C,$fot(X_1468)),bind(X_1462,$fot(C)),bind(X_1463,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_241,plain,
    coll(C,skolemFOFtoCNF_B_1,X_1468),
    inference(resolve,[$cnf( coll(X_1468,skolemFOFtoCNF_C_1,C) )],[refute_0_240,refute_0_239]) ).

cnf(refute_0_242,plain,
    coll(X_1483,skolemFOFtoCNF_B_1,X_1484),
    inference(subst,[],[refute_0_241:[bind(C,$fot(X_1483)),bind(X_1468,$fot(X_1484))]]) ).

cnf(refute_0_243,plain,
    ( ~ coll(X_1483,skolemFOFtoCNF_B_1,C)
    | coll(C,X_1484,X_1483) ),
    inference(resolve,[$cnf( coll(X_1483,skolemFOFtoCNF_B_1,X_1484) )],[refute_0_242,refute_0_223]) ).

cnf(refute_0_244,plain,
    coll(X_1483,skolemFOFtoCNF_B_1,C),
    inference(subst,[],[refute_0_172:[bind(C,$fot(X_1483)),bind(X_1462,$fot(C)),bind(X_1463,$fot(skolemFOFtoCNF_B_1))]]) ).

cnf(refute_0_245,plain,
    coll(C,X_1484,X_1483),
    inference(resolve,[$cnf( coll(X_1483,skolemFOFtoCNF_B_1,C) )],[refute_0_244,refute_0_243]) ).

cnf(refute_0_246,plain,
    coll(X_1486,skolemFOFtoCNF_D,C),
    inference(subst,[],[refute_0_245:[bind(C,$fot(X_1486)),bind(X_1483,$fot(C)),bind(X_1484,$fot(skolemFOFtoCNF_D))]]) ).

cnf(refute_0_247,plain,
    coll(C,X_1487,X_1486),
    inference(resolve,[$cnf( coll(X_1486,skolemFOFtoCNF_D,C) )],[refute_0_246,refute_0_222]) ).

cnf(refute_0_248,plain,
    coll(X_1488,skolemFOFtoCNF_C_1,C),
    inference(subst,[],[refute_0_247:[bind(C,$fot(X_1488)),bind(X_1486,$fot(C)),bind(X_1487,$fot(skolemFOFtoCNF_C_1))]]) ).

cnf(refute_0_249,plain,
    coll(C,X_1489,X_1488),
    inference(resolve,[$cnf( coll(X_1488,skolemFOFtoCNF_C_1,C) )],[refute_0_248,refute_0_199]) ).

cnf(refute_0_250,plain,
    coll(X_1500,skolemFOFtoCNF_O_2,C),
    inference(subst,[],[refute_0_249:[bind(C,$fot(X_1500)),bind(X_1488,$fot(C)),bind(X_1489,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_251,plain,
    coll(C,X_1501,X_1500),
    inference(resolve,[$cnf( coll(X_1500,skolemFOFtoCNF_O_2,C) )],[refute_0_250,refute_0_182]) ).

cnf(refute_0_252,plain,
    coll(X_1504,skolemFOFtoCNF_F,C),
    inference(subst,[],[refute_0_251:[bind(C,$fot(X_1504)),bind(X_1500,$fot(C)),bind(X_1501,$fot(skolemFOFtoCNF_F))]]) ).

cnf(refute_0_253,plain,
    coll(C,X_1505,X_1504),
    inference(resolve,[$cnf( coll(X_1504,skolemFOFtoCNF_F,C) )],[refute_0_252,refute_0_111]) ).

cnf(refute_0_254,plain,
    coll(O,A,C),
    inference(subst,[],[refute_0_253:[bind(C,$fot(O)),bind(X_1504,$fot(C)),bind(X_1505,$fot(A))]]) ).

cnf(refute_0_255,plain,
    ( ~ circle(O,A,B,C)
    | perp(A,B,B,C) ),
    inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_254,refute_0_90]) ).

cnf(refute_0_256,plain,
    ( ~ circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_255:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(O,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_257,plain,
    perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( circle(skolemFOFtoCNF_O_2,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_89,refute_0_256]) ).

cnf(refute_0_258,plain,
    perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_257,refute_0_86]) ).

cnf(refute_0_259,plain,
    perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_A) )],[refute_0_258,refute_0_84]) ).

cnf(refute_0_260,plain,
    ( ~ midp(X_1556,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    | ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    | cong(skolemFOFtoCNF_A,X_1556,skolemFOFtoCNF_A,X_1556) ),
    inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(M,$fot(X_1556))]]) ).

cnf(refute_0_261,plain,
    ( ~ midp(X_1556,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    | cong(skolemFOFtoCNF_A,X_1556,skolemFOFtoCNF_A,X_1556) ),
    inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_259,refute_0_260]) ).

cnf(refute_0_262,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
    | cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_261:[bind(X_1556,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_263,plain,
    cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_35,refute_0_262]) ).

cnf(refute_0_264,plain,
    ( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
    | midp(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) ),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_263,refute_0_82]) ).

cnf(refute_0_265,plain,
    coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),
    inference(subst,[],[refute_0_253:[bind(C,$fot(skolemFOFtoCNF_A)),bind(X_1504,$fot(skolemFOFtoCNF_O_2)),bind(X_1505,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_266,plain,
    midp(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) )],[refute_0_265,refute_0_264]) ).

cnf(refute_0_267,plain,
    midp(skolemFOFtoCNF_A,X_1523,X_1523),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) )],[refute_0_266,refute_0_80]) ).

cnf(refute_0_268,plain,
    midp(skolemFOFtoCNF_A,X_1561,X_1561),
    inference(subst,[],[refute_0_267:[bind(X_1523,$fot(X_1561))]]) ).

cnf(refute_0_269,plain,
    midp(skolemFOFtoCNF_P_1(X_1561,Q),X_1561,Q),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_1561,X_1561) )],[refute_0_268,refute_0_75]) ).

cnf(refute_0_270,plain,
    midp(skolemFOFtoCNF_P_1(X_1646,X_1645),X_1646,X_1645),
    inference(subst,[],[refute_0_269:[bind(Q,$fot(X_1645)),bind(X_1561,$fot(X_1646))]]) ).

cnf(refute_0_271,plain,
    cong(skolemFOFtoCNF_P_1(X_1646,X_1645),X_1646,skolemFOFtoCNF_P_1(X_1646,X_1645),X_1645),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_P_1(X_1646,X_1645),X_1646,X_1645) )],[refute_0_270,refute_0_24]) ).

cnf(refute_0_272,plain,
    cong(skolemFOFtoCNF_P_1(X_3697,X_3696),X_3697,skolemFOFtoCNF_P_1(X_3697,X_3696),X_3696),
    inference(subst,[],[refute_0_271:[bind(X_1645,$fot(X_3696)),bind(X_1646,$fot(X_3697))]]) ).

cnf(refute_0_273,plain,
    cyclic(X_3697,X_3696,X_3696,X_3696),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_P_1(X_3697,X_3696),X_3697,skolemFOFtoCNF_P_1(X_3697,X_3696),X_3696) )],[refute_0_272,refute_0_22]) ).

cnf(refute_0_274,plain,
    cyclic(X_3699,X_3698,X_3698,X_3698),
    inference(subst,[],[refute_0_273:[bind(X_3696,$fot(X_3698)),bind(X_3697,$fot(X_3699))]]) ).

cnf(refute_0_275,plain,
    cyclic(X_3698,X_3699,X_3698,X_3698),
    inference(resolve,[$cnf( cyclic(X_3699,X_3698,X_3698,X_3698) )],[refute_0_274,refute_0_21]) ).

cnf(refute_0_276,plain,
    cyclic(X_3700,X_3701,X_3700,X_3700),
    inference(subst,[],[refute_0_275:[bind(X_3698,$fot(X_3700)),bind(X_3699,$fot(X_3701))]]) ).

cnf(refute_0_277,plain,
    cyclic(X_3700,X_3700,X_3701,X_3700),
    inference(resolve,[$cnf( cyclic(X_3700,X_3701,X_3700,X_3700) )],[refute_0_276,refute_0_20]) ).

cnf(refute_0_278,plain,
    cyclic(X_3702,X_3702,X_3703,X_3702),
    inference(subst,[],[refute_0_277:[bind(X_3700,$fot(X_3702)),bind(X_3701,$fot(X_3703))]]) ).

cnf(refute_0_279,plain,
    cyclic(X_3702,X_3702,X_3702,X_3703),
    inference(resolve,[$cnf( cyclic(X_3702,X_3702,X_3703,X_3702) )],[refute_0_278,refute_0_19]) ).

cnf(refute_0_280,plain,
    cyclic(X_3704,X_3704,X_3704,X_3705),
    inference(subst,[],[refute_0_279:[bind(X_3702,$fot(X_3704)),bind(X_3703,$fot(X_3705))]]) ).

cnf(refute_0_281,plain,
    cyclic(X_3704,X_3704,X_3705,X_3705),
    inference(resolve,[$cnf( cyclic(X_3704,X_3704,X_3704,X_3705) )],[refute_0_280,refute_0_17]) ).

cnf(refute_0_282,plain,
    cyclic(X_3706,X_3706,X_3707,X_3707),
    inference(subst,[],[refute_0_281:[bind(X_3704,$fot(X_3706)),bind(X_3705,$fot(X_3707))]]) ).

cnf(refute_0_283,plain,
    ( ~ cong(X_3706,X_3707,X_3706,X_3707)
    | perp(X_3707,X_3706,X_3706,X_3707) ),
    inference(resolve,[$cnf( cyclic(X_3706,X_3706,X_3707,X_3707) )],[refute_0_282,refute_0_15]) ).

cnf(refute_0_284,plain,
    ( ~ midp(X_1600,X_1599,X_1599)
    | cong(X_1600,X_1599,X_1600,X_1599) ),
    inference(subst,[],[refute_0_23:[bind(A,$fot(X_1600)),bind(B,$fot(X_1599)),bind(C,$fot(X_1599))]]) ).

cnf(refute_0_285,plain,
    ( ~ midp(X_1578,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | midp(X_1578,X_1523,X_1523) ),
    inference(subst,[],[refute_0_79:[bind(X_1522,$fot(skolemFOFtoCNF_A)),bind(X_1524,$fot(X_1578))]]) ).

cnf(refute_0_286,plain,
    ( ~ coll(X_1577,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | ~ cong(X_1577,skolemFOFtoCNF_A,X_1577,skolemFOFtoCNF_A)
    | midp(X_1577,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_81:[bind(A,$fot(X_1577)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_287,plain,
    ( ~ cong(X_1575,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1575)
    | cong(X_1575,skolemFOFtoCNF_A,X_1575,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(X_1575)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1575))]]) ).

cnf(refute_0_288,plain,
    ( ~ cong(skolemFOFtoCNF_A,X_1571,X_1571,skolemFOFtoCNF_A)
    | cong(X_1571,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1571) ),
    inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1571)),bind(C,$fot(X_1571)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_289,plain,
    ( ~ cong(skolemFOFtoCNF_A,X_1565,skolemFOFtoCNF_A,X_1565)
    | cong(skolemFOFtoCNF_A,X_1565,X_1565,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1565)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1565))]]) ).

cnf(refute_0_290,plain,
    ( ~ midp(skolemFOFtoCNF_A,X_1561,X_1561)
    | cong(skolemFOFtoCNF_A,X_1561,skolemFOFtoCNF_A,X_1561) ),
    inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1561)),bind(C,$fot(X_1561))]]) ).

cnf(refute_0_291,plain,
    cong(skolemFOFtoCNF_A,X_1561,skolemFOFtoCNF_A,X_1561),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_A,X_1561,X_1561) )],[refute_0_268,refute_0_290]) ).

cnf(refute_0_292,plain,
    cong(skolemFOFtoCNF_A,X_1565,skolemFOFtoCNF_A,X_1565),
    inference(subst,[],[refute_0_291:[bind(X_1561,$fot(X_1565))]]) ).

cnf(refute_0_293,plain,
    cong(skolemFOFtoCNF_A,X_1565,X_1565,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_1565,skolemFOFtoCNF_A,X_1565) )],[refute_0_292,refute_0_289]) ).

cnf(refute_0_294,plain,
    cong(skolemFOFtoCNF_A,X_1571,X_1571,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_293:[bind(X_1565,$fot(X_1571))]]) ).

cnf(refute_0_295,plain,
    cong(X_1571,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1571),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_1571,X_1571,skolemFOFtoCNF_A) )],[refute_0_294,refute_0_288]) ).

cnf(refute_0_296,plain,
    cong(X_1575,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1575),
    inference(subst,[],[refute_0_295:[bind(X_1571,$fot(X_1575))]]) ).

cnf(refute_0_297,plain,
    cong(X_1575,skolemFOFtoCNF_A,X_1575,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(X_1575,skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1575) )],[refute_0_296,refute_0_287]) ).

cnf(refute_0_298,plain,
    cong(X_1577,skolemFOFtoCNF_A,X_1577,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_297:[bind(X_1575,$fot(X_1577))]]) ).

cnf(refute_0_299,plain,
    ( ~ coll(X_1577,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | midp(X_1577,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(resolve,[$cnf( cong(X_1577,skolemFOFtoCNF_A,X_1577,skolemFOFtoCNF_A) )],[refute_0_298,refute_0_286]) ).

cnf(refute_0_300,plain,
    coll(X_1577,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_253:[bind(C,$fot(X_1577)),bind(X_1504,$fot(skolemFOFtoCNF_A)),bind(X_1505,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_301,plain,
    midp(X_1577,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(X_1577,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_300,refute_0_299]) ).

cnf(refute_0_302,plain,
    midp(X_1578,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_301:[bind(X_1577,$fot(X_1578))]]) ).

cnf(refute_0_303,plain,
    midp(X_1578,X_1523,X_1523),
    inference(resolve,[$cnf( midp(X_1578,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_302,refute_0_285]) ).

cnf(refute_0_304,plain,
    midp(X_1600,X_1599,X_1599),
    inference(subst,[],[refute_0_303:[bind(X_1523,$fot(X_1599)),bind(X_1578,$fot(X_1600))]]) ).

cnf(refute_0_305,plain,
    cong(X_1600,X_1599,X_1600,X_1599),
    inference(resolve,[$cnf( midp(X_1600,X_1599,X_1599) )],[refute_0_304,refute_0_284]) ).

cnf(refute_0_306,plain,
    cong(X_3706,X_3707,X_3706,X_3707),
    inference(subst,[],[refute_0_305:[bind(X_1599,$fot(X_3707)),bind(X_1600,$fot(X_3706))]]) ).

cnf(refute_0_307,plain,
    perp(X_3707,X_3706,X_3706,X_3707),
    inference(resolve,[$cnf( cong(X_3706,X_3707,X_3706,X_3707) )],[refute_0_306,refute_0_283]) ).

cnf(refute_0_308,plain,
    perp(X_3709,X_3708,X_3708,X_3709),
    inference(subst,[],[refute_0_307:[bind(X_3706,$fot(X_3708)),bind(X_3707,$fot(X_3709))]]) ).

cnf(refute_0_309,plain,
    ( ~ midp(M,X_3709,X_3709)
    | cong(X_3709,M,X_3708,M) ),
    inference(resolve,[$cnf( perp(X_3709,X_3708,X_3708,X_3709) )],[refute_0_308,refute_0_13]) ).

cnf(refute_0_310,plain,
    ( ~ midp(X_1586,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
    | midp(X_1586,X_1523,X_1523) ),
    inference(subst,[],[refute_0_79:[bind(X_1522,$fot(skolemFOFtoCNF_O_2)),bind(X_1524,$fot(X_1586))]]) ).

cnf(refute_0_311,plain,
    ( ~ coll(X_1585,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
    | ~ cong(X_1585,skolemFOFtoCNF_O_2,X_1585,skolemFOFtoCNF_O_2)
    | midp(X_1585,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_81:[bind(A,$fot(X_1585)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_312,plain,
    ( ~ cong(X_1583,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1583)
    | cong(X_1583,skolemFOFtoCNF_O_2,X_1583,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(X_1583)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_1583))]]) ).

cnf(refute_0_313,plain,
    ( ~ cong(skolemFOFtoCNF_O_2,X_1579,X_1579,skolemFOFtoCNF_O_2)
    | cong(X_1579,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1579) ),
    inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(X_1579)),bind(C,$fot(X_1579)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_314,plain,
    ( ~ cong(skolemFOFtoCNF_O_2,X_1570,skolemFOFtoCNF_O_2,X_1570)
    | cong(skolemFOFtoCNF_O_2,X_1570,X_1570,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(X_1570)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(X_1570))]]) ).

cnf(refute_0_315,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,X_1562,X_1562)
    | cong(skolemFOFtoCNF_O_2,X_1562,skolemFOFtoCNF_O_2,X_1562) ),
    inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(X_1562)),bind(C,$fot(X_1562))]]) ).

cnf(refute_0_316,plain,
    ( ~ midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | midp(skolemFOFtoCNF_O_2,X_1523,X_1523) ),
    inference(subst,[],[refute_0_79:[bind(X_1522,$fot(skolemFOFtoCNF_A)),bind(X_1524,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_317,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
    | midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_81:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_318,plain,
    ( ~ cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
    | cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_O_2)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_319,plain,
    ( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A)
    | cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) ),
    inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_O_2)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_320,plain,
    ( ~ cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2)
    | cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_O_2)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_321,plain,
    cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_263,refute_0_320]) ).

cnf(refute_0_322,plain,
    cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_321,refute_0_319]) ).

cnf(refute_0_323,plain,
    cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2) )],[refute_0_322,refute_0_318]) ).

cnf(refute_0_324,plain,
    ( ~ coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
    | midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_O_2,skolemFOFtoCNF_A) )],[refute_0_323,refute_0_317]) ).

cnf(refute_0_325,plain,
    coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(subst,[],[refute_0_253:[bind(C,$fot(skolemFOFtoCNF_O_2)),bind(X_1504,$fot(skolemFOFtoCNF_A)),bind(X_1505,$fot(skolemFOFtoCNF_A))]]) ).

cnf(refute_0_326,plain,
    midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
    inference(resolve,[$cnf( coll(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_325,refute_0_324]) ).

cnf(refute_0_327,plain,
    midp(skolemFOFtoCNF_O_2,X_1523,X_1523),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_326,refute_0_316]) ).

cnf(refute_0_328,plain,
    midp(skolemFOFtoCNF_O_2,X_1562,X_1562),
    inference(subst,[],[refute_0_327:[bind(X_1523,$fot(X_1562))]]) ).

cnf(refute_0_329,plain,
    cong(skolemFOFtoCNF_O_2,X_1562,skolemFOFtoCNF_O_2,X_1562),
    inference(resolve,[$cnf( midp(skolemFOFtoCNF_O_2,X_1562,X_1562) )],[refute_0_328,refute_0_315]) ).

cnf(refute_0_330,plain,
    cong(skolemFOFtoCNF_O_2,X_1570,skolemFOFtoCNF_O_2,X_1570),
    inference(subst,[],[refute_0_329:[bind(X_1562,$fot(X_1570))]]) ).

cnf(refute_0_331,plain,
    cong(skolemFOFtoCNF_O_2,X_1570,X_1570,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,X_1570,skolemFOFtoCNF_O_2,X_1570) )],[refute_0_330,refute_0_314]) ).

cnf(refute_0_332,plain,
    cong(skolemFOFtoCNF_O_2,X_1579,X_1579,skolemFOFtoCNF_O_2),
    inference(subst,[],[refute_0_331:[bind(X_1570,$fot(X_1579))]]) ).

cnf(refute_0_333,plain,
    cong(X_1579,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1579),
    inference(resolve,[$cnf( cong(skolemFOFtoCNF_O_2,X_1579,X_1579,skolemFOFtoCNF_O_2) )],[refute_0_332,refute_0_313]) ).

cnf(refute_0_334,plain,
    cong(X_1583,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1583),
    inference(subst,[],[refute_0_333:[bind(X_1579,$fot(X_1583))]]) ).

cnf(refute_0_335,plain,
    cong(X_1583,skolemFOFtoCNF_O_2,X_1583,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( cong(X_1583,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2,X_1583) )],[refute_0_334,refute_0_312]) ).

cnf(refute_0_336,plain,
    cong(X_1585,skolemFOFtoCNF_O_2,X_1585,skolemFOFtoCNF_O_2),
    inference(subst,[],[refute_0_335:[bind(X_1583,$fot(X_1585))]]) ).

cnf(refute_0_337,plain,
    ( ~ coll(X_1585,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2)
    | midp(X_1585,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) ),
    inference(resolve,[$cnf( cong(X_1585,skolemFOFtoCNF_O_2,X_1585,skolemFOFtoCNF_O_2) )],[refute_0_336,refute_0_311]) ).

cnf(refute_0_338,plain,
    coll(X_1585,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),
    inference(subst,[],[refute_0_253:[bind(C,$fot(X_1585)),bind(X_1504,$fot(skolemFOFtoCNF_O_2)),bind(X_1505,$fot(skolemFOFtoCNF_O_2))]]) ).

cnf(refute_0_339,plain,
    midp(X_1585,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),
    inference(resolve,[$cnf( coll(X_1585,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) )],[refute_0_338,refute_0_337]) ).

cnf(refute_0_340,plain,
    midp(X_1586,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2),
    inference(subst,[],[refute_0_339:[bind(X_1585,$fot(X_1586))]]) ).

cnf(refute_0_341,plain,
    midp(X_1586,X_1523,X_1523),
    inference(resolve,[$cnf( midp(X_1586,skolemFOFtoCNF_O_2,skolemFOFtoCNF_O_2) )],[refute_0_340,refute_0_310]) ).

cnf(refute_0_342,plain,
    midp(M,X_3709,X_3709),
    inference(subst,[],[refute_0_341:[bind(X_1523,$fot(X_3709)),bind(X_1586,$fot(M))]]) ).

cnf(refute_0_343,plain,
    cong(X_3709,M,X_3708,M),
    inference(resolve,[$cnf( midp(M,X_3709,X_3709) )],[refute_0_342,refute_0_309]) ).

cnf(refute_0_344,plain,
    cong(X_3728,X_3726,X_3727,X_3726),
    inference(subst,[],[refute_0_343:[bind(M,$fot(X_3726)),bind(X_3708,$fot(X_3727)),bind(X_3709,$fot(X_3728))]]) ).

cnf(refute_0_345,plain,
    cong(X_3728,X_3726,X_3726,X_3727),
    inference(resolve,[$cnf( cong(X_3728,X_3726,X_3727,X_3726) )],[refute_0_344,refute_0_11]) ).

cnf(refute_0_346,plain,
    cong(X_3731,X_3729,X_3729,X_3730),
    inference(subst,[],[refute_0_345:[bind(X_3726,$fot(X_3729)),bind(X_3727,$fot(X_3730)),bind(X_3728,$fot(X_3731))]]) ).

cnf(refute_0_347,plain,
    cong(X_3729,X_3730,X_3731,X_3729),
    inference(resolve,[$cnf( cong(X_3731,X_3729,X_3729,X_3730) )],[refute_0_346,refute_0_10]) ).

cnf(refute_0_348,plain,
    cong(X_3754,X_3755,X_3756,X_3754),
    inference(subst,[],[refute_0_347:[bind(X_3729,$fot(X_3754)),bind(X_3730,$fot(X_3755)),bind(X_3731,$fot(X_3756))]]) ).

cnf(refute_0_349,plain,
    cong(X_3754,X_3755,X_3754,X_3756),
    inference(resolve,[$cnf( cong(X_3754,X_3755,X_3756,X_3754) )],[refute_0_348,refute_0_8]) ).

cnf(refute_0_350,plain,
    cong(O,A,O,C),
    inference(subst,[],[refute_0_349:[bind(X_3754,$fot(O)),bind(X_3755,$fot(A)),bind(X_3756,$fot(C))]]) ).

cnf(refute_0_351,plain,
    ( ~ cong(O,A,O,D)
    | cyclic(A,C,C,D) ),
    inference(resolve,[$cnf( cong(O,A,O,C) )],[refute_0_350,refute_0_6]) ).

cnf(refute_0_352,plain,
    cong(O,A,O,D),
    inference(subst,[],[refute_0_349:[bind(X_3754,$fot(O)),bind(X_3755,$fot(A)),bind(X_3756,$fot(D))]]) ).

cnf(refute_0_353,plain,
    cyclic(A,C,C,D),
    inference(resolve,[$cnf( cong(O,A,O,D) )],[refute_0_352,refute_0_351]) ).

cnf(refute_0_354,plain,
    cyclic(X_11843,X_11844,X_11844,X_11845),
    inference(subst,[],[refute_0_353:[bind(A,$fot(X_11843)),bind(C,$fot(X_11844)),bind(D,$fot(X_11845))]]) ).

cnf(refute_0_355,plain,
    cyclic(X_11844,X_11843,X_11844,X_11845),
    inference(resolve,[$cnf( cyclic(X_11843,X_11844,X_11844,X_11845) )],[refute_0_354,refute_0_4]) ).

cnf(refute_0_356,plain,
    cyclic(X_11847,X_11846,X_11847,X_11848),
    inference(subst,[],[refute_0_355:[bind(X_11843,$fot(X_11846)),bind(X_11844,$fot(X_11847)),bind(X_11845,$fot(X_11848))]]) ).

cnf(refute_0_357,plain,
    cyclic(X_11847,X_11847,X_11846,X_11848),
    inference(resolve,[$cnf( cyclic(X_11847,X_11846,X_11847,X_11848) )],[refute_0_356,refute_0_2]) ).

cnf(refute_0_358,plain,
    cyclic(X_12481,X_12481,X_12482,X_12483),
    inference(subst,[],[refute_0_357:[bind(X_11846,$fot(X_12482)),bind(X_11847,$fot(X_12481)),bind(X_11848,$fot(X_12483))]]) ).

cnf(refute_0_359,plain,
    ( ~ cyclic(X_12481,X_12481,X_12482,X_12483)
    | ~ cyclic(X_12481,X_12481,X_12482,X_12484)
    | cyclic(X_12481,X_12482,X_12483,X_12484) ),
    inference(subst,[],[refute_0_16:[bind(A,$fot(X_12481)),bind(B,$fot(X_12481)),bind(C,$fot(X_12482)),bind(D,$fot(X_12483)),bind(E,$fot(X_12484))]]) ).

cnf(refute_0_360,plain,
    ( ~ cyclic(X_12481,X_12481,X_12482,X_12484)
    | cyclic(X_12481,X_12482,X_12483,X_12484) ),
    inference(resolve,[$cnf( cyclic(X_12481,X_12481,X_12482,X_12483) )],[refute_0_358,refute_0_359]) ).

cnf(refute_0_361,plain,
    cyclic(X_12481,X_12481,X_12482,X_12484),
    inference(subst,[],[refute_0_357:[bind(X_11846,$fot(X_12482)),bind(X_11847,$fot(X_12481)),bind(X_11848,$fot(X_12484))]]) ).

cnf(refute_0_362,plain,
    cyclic(X_12481,X_12482,X_12483,X_12484),
    inference(resolve,[$cnf( cyclic(X_12481,X_12481,X_12482,X_12484) )],[refute_0_361,refute_0_360]) ).

cnf(refute_0_363,plain,
    cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
    inference(subst,[],[refute_0_362:[bind(X_12481,$fot(skolemFOFtoCNF_B_1)),bind(X_12482,$fot(skolemFOFtoCNF_C_1)),bind(X_12483,$fot(skolemFOFtoCNF_E)),bind(X_12484,$fot(skolemFOFtoCNF_F))]]) ).

cnf(refute_0_364,plain,
    $false,
    inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_363,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO595+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jun 17 21:57:47 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 42.49/42.66  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.49/42.66  
% 42.49/42.66  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 42.53/42.70  
%------------------------------------------------------------------------------