Metis---2.4.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL416-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 12:42:38 PM UTC 2026

% Result   : Unsatisfiable 104.15s 104.46s
% Output   : CNFRefutation 104.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :   62
% Syntax   : Number of clauses     :  242 ( 134 unt;   0 nHn; 110 RR)
%            Number of literals    :  404 ( 403 equ; 164 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   18 (   3 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-4 aty)
%            Number of variables   : 1300 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq(A,A,B,C) = B ).

cnf(condensed_detachment,axiom,
    ifeq(is_a_theorem(equivalent(A,B)),true,ifeq(is_a_theorem(A),true,is_a_theorem(B),true),true) = true ).

cnf(xcb,axiom,
    is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))) = true ).

cnf(prove_reflexivity,negated_conjecture,
    is_a_theorem(equivalent(a,a)) != true ).

cnf(refute_0_0,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) = true,
    inference(subst,[],[condensed_detachment:[bind(A,$fot(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39))),bind(B,$fot(equivalent(X_40,X_39)))]]) ).

cnf(refute_0_1,plain,
    ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(X_7),true),true) = true,
    inference(subst,[],[condensed_detachment:[bind(A,$fot(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)))),bind(B,$fot(X_7))]]) ).

cnf(refute_0_2,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(X_7),true),true) != true
    | is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))) != true
    | ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(X_7),true),true),true) ),[0,2,0],$fot(true)]]) ).

cnf(refute_0_3,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(X_7),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true) )],[xcb,refute_0_2]) ).

cnf(refute_0_4,plain,
    ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(X_7),true),true),true) )],[refute_0_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    ifeq(true,true,is_a_theorem(X_7),true) = is_a_theorem(X_7),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(X_7))),bind(C,$fot(true))]]) ).

cnf(refute_0_6,plain,
    ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) = ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true),
    introduced(tautology,[refl,[$fot(ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true))]]) ).

cnf(refute_0_7,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) != ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true)
    | ifeq(true,true,is_a_theorem(X_7),true) != is_a_theorem(X_7)
    | ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) = ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,is_a_theorem(X_7),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true),ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true)) ),[1,2],$fot(is_a_theorem(X_7))]]) ).

cnf(refute_0_8,plain,
    ( ifeq(true,true,is_a_theorem(X_7),true) != is_a_theorem(X_7)
    | ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) = ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,is_a_theorem(X_7),true) ),
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true),ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true)) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) = ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,is_a_theorem(X_7),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(X_7),true),is_a_theorem(X_7)) )],[refute_0_5,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) != ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,is_a_theorem(X_7),true)
    | ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,is_a_theorem(X_7),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,is_a_theorem(X_7),true))]]) ).

cnf(refute_0_11,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,is_a_theorem(X_7),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true),ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,is_a_theorem(X_7),true)) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,is_a_theorem(X_7),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_7)),true,ifeq(true,true,is_a_theorem(X_7),true),true),true) )],[refute_0_4,refute_0_11]) ).

cnf(refute_0_13,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) = true,
    inference(subst,[],[refute_0_12:[bind(A,$fot(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C))),bind(X_7,$fot(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))))]]) ).

cnf(refute_0_14,plain,
    ifeq(is_a_theorem(equivalent(X_6,equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C))),true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) = true,
    inference(subst,[],[condensed_detachment:[bind(A,$fot(X_6)),bind(B,$fot(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)))]]) ).

cnf(refute_0_15,plain,
    is_a_theorem(equivalent(X_6,equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C))) = true,
    inference(subst,[],[xcb:[bind(A,$fot(X_6))]]) ).

cnf(refute_0_16,plain,
    ( ifeq(is_a_theorem(equivalent(X_6,equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C))),true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) != true
    | is_a_theorem(equivalent(X_6,equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C))) != true
    | ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_6,equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C))),true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_17,plain,
    ( ifeq(is_a_theorem(equivalent(X_6,equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C))),true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) != true
    | ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X_6,equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C))),true) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_6,equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C))),true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true),true) )],[refute_0_14,refute_0_17]) ).

cnf(refute_0_19,plain,
    ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) = ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_20,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) != ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true)
    | ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) != true
    | ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true),true) ),[0],$fot(ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true))]]) ).

cnf(refute_0_21,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true) != true
    | ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true),ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true)) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(X_6),true,is_a_theorem(equivalent(equivalent(equivalent(X_6,B),equivalent(C,B)),C)),true),true),true) )],[refute_0_18,refute_0_21]) ).

cnf(refute_0_23,plain,
    ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) = true,
    inference(subst,[],[refute_0_22:[bind(B,$fot(X_8)),bind(C,$fot(X_9)),bind(X_6,$fot(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))))]]) ).

cnf(refute_0_24,plain,
    ( ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) != true
    | is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_25,plain,
    ( ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true) )],[xcb,refute_0_24]) ).

cnf(refute_0_26,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true),true) )],[refute_0_23,refute_0_25]) ).

cnf(refute_0_27,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)))),bind(C,$fot(true))]]) ).

cnf(refute_0_28,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)))]]) ).

cnf(refute_0_29,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9))) )],[refute_0_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(equivalent(A,B),equivalent(C,B)),C)),X_8),equivalent(X_9,X_8)),X_9)),true),true) )],[refute_0_26,refute_0_29]) ).

cnf(refute_0_31,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))) = true,
    inference(subst,[],[refute_0_30:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(X_25)),bind(X_8,$fot(C)),bind(X_9,$fot(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))))]]) ).

cnf(refute_0_32,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_33,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))),true) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true),true) )],[refute_0_13,refute_0_33]) ).

cnf(refute_0_35,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))))),bind(C,$fot(true))]]) ).

cnf(refute_0_36,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))))]]) ).

cnf(refute_0_37,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B)))) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),C),B),equivalent(C,B))),true),true) )],[refute_0_34,refute_0_37]) ).

cnf(refute_0_39,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))) = true,
    inference(subst,[],[refute_0_38:[bind(B,$fot(X_39)),bind(C,$fot(X_40)),bind(X_23,$fot(X_41)),bind(X_24,$fot(X_42)),bind(X_25,$fot(X_43))]]) ).

cnf(refute_0_40,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_41,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true),true) )],[refute_0_0,refute_0_41]) ).

cnf(refute_0_43,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_44,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true)
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true))]]) ).

cnf(refute_0_45,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true)) )],[refute_0_43,refute_0_44]) ).

cnf(refute_0_46,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39)),true,is_a_theorem(equivalent(X_40,X_39)),true),true),true) )],[refute_0_42,refute_0_45]) ).

cnf(refute_0_47,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_39),X_39)),true,is_a_theorem(equivalent(X_39,X_39)),true) = true,
    inference(subst,[],[refute_0_46:[bind(X_40,$fot(X_39))]]) ).

cnf(refute_0_48,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) = true,
    inference(subst,[],[condensed_detachment:[bind(A,$fot(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))))]]) ).

cnf(refute_0_49,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26)),B)) = true,
    inference(subst,[],[refute_0_30:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(X_25)),bind(X_8,$fot(X_26)),bind(X_9,$fot(B))]]) ).

cnf(refute_0_50,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26)),B)) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_51,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26)),B)),true) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true),true) )],[refute_0_48,refute_0_51]) ).

cnf(refute_0_53,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_54,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true)
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true))]]) ).

cnf(refute_0_55,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true)) )],[refute_0_53,refute_0_54]) ).

cnf(refute_0_56,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(B,X_26))),true,is_a_theorem(B),true),true),true) )],[refute_0_52,refute_0_55]) ).

cnf(refute_0_57,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) = true,
    inference(subst,[],[refute_0_56:[bind(B,$fot(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),bind(X_23,$fot(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),bind(X_24,$fot(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),bind(X_25,$fot(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),bind(X_26,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))]]) ).

cnf(refute_0_58,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577),equivalent(X_578,X_577))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) = true,
    inference(subst,[],[condensed_detachment:[bind(A,$fot(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577))),bind(B,$fot(equivalent(X_578,X_577)))]]) ).

cnf(refute_0_59,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) = true,
    inference(subst,[],[refute_0_12:[bind(A,$fot(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C))),bind(X_7,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))))]]) ).

cnf(refute_0_60,plain,
    ifeq(is_a_theorem(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) = true,
    inference(subst,[],[refute_0_22:[bind(X_6,$fot(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127)))]]) ).

cnf(refute_0_61,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(B),true),true) = true,
    inference(subst,[],[condensed_detachment:[bind(A,$fot(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)))]]) ).

cnf(refute_0_62,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)) = true,
    inference(subst,[],[refute_0_30:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(X_25)),bind(X_8,$fot(X_26)),bind(X_9,$fot(X_27))]]) ).

cnf(refute_0_63,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(B),true),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(B),true),true),true) ),[0,2,0],$fot(true)]]) ).

cnf(refute_0_64,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true) )],[refute_0_62,refute_0_63]) ).

cnf(refute_0_65,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(B),true),true),true) )],[refute_0_61,refute_0_64]) ).

cnf(refute_0_66,plain,
    ifeq(true,true,is_a_theorem(B),true) = is_a_theorem(B),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(B))),bind(C,$fot(true))]]) ).

cnf(refute_0_67,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true),
    introduced(tautology,[refl,[$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true))]]) ).

cnf(refute_0_68,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true)
    | ifeq(true,true,is_a_theorem(B),true) != is_a_theorem(B)
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,is_a_theorem(B),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true)) ),[1,2],$fot(is_a_theorem(B))]]) ).

cnf(refute_0_69,plain,
    ( ifeq(true,true,is_a_theorem(B),true) != is_a_theorem(B)
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,is_a_theorem(B),true) ),
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true)) )],[refute_0_67,refute_0_68]) ).

cnf(refute_0_70,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,is_a_theorem(B),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(B),true),is_a_theorem(B)) )],[refute_0_66,refute_0_69]) ).

cnf(refute_0_71,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,is_a_theorem(B),true)
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,is_a_theorem(B),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,is_a_theorem(B),true))]]) ).

cnf(refute_0_72,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,is_a_theorem(B),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,is_a_theorem(B),true)) )],[refute_0_70,refute_0_71]) ).

cnf(refute_0_73,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,is_a_theorem(B),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B)),true,ifeq(true,true,is_a_theorem(B),true),true),true) )],[refute_0_65,refute_0_72]) ).

cnf(refute_0_74,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25))),X_56),equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))),true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) = true,
    inference(subst,[],[refute_0_73:[bind(B,$fot(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))),bind(X_23,$fot(X_52)),bind(X_24,$fot(X_53)),bind(X_25,$fot(X_54)),bind(X_26,$fot(equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25))),bind(X_27,$fot(X_56))]]) ).

cnf(refute_0_75,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25))),X_56),equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))) = true,
    inference(subst,[],[refute_0_38:[bind(B,$fot(X_56)),bind(C,$fot(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)))),bind(X_23,$fot(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54))))]]) ).

cnf(refute_0_76,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25))),X_56),equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))),true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25))),X_56),equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25))),X_56),equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))),true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_77,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25))),X_56),equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))),true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25))),X_56),equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))),true) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25))),X_56),equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))),true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true),true) )],[refute_0_74,refute_0_77]) ).

cnf(refute_0_79,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) = is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)))),bind(C,$fot(true))]]) ).

cnf(refute_0_80,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) != is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) != true
    | is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)))]]) ).

cnf(refute_0_81,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true) != true
    | is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true),is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56))) )],[refute_0_79,refute_0_80]) ).

cnf(refute_0_82,plain,
    is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_56,equivalent(equivalent(equivalent(equivalent(X_52,equivalent(equivalent(equivalent(X_52,X_53),equivalent(X_54,X_53)),X_54)),X_24),equivalent(X_25,X_24)),X_25)),X_56)),true),true) )],[refute_0_78,refute_0_81]) ).

cnf(refute_0_83,plain,
    is_a_theorem(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127)) = true,
    inference(subst,[],[refute_0_82:[bind(X_24,$fot(X_122)),bind(X_25,$fot(X_123)),bind(X_52,$fot(X_124)),bind(X_53,$fot(X_125)),bind(X_54,$fot(X_126)),bind(X_56,$fot(X_127))]]) ).

cnf(refute_0_84,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127)) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_85,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127)),true) )],[refute_0_83,refute_0_84]) ).

cnf(refute_0_86,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true),true) )],[refute_0_60,refute_0_85]) ).

cnf(refute_0_87,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)))),bind(C,$fot(true))]]) ).

cnf(refute_0_88,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)))]]) ).

cnf(refute_0_89,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C))) )],[refute_0_87,refute_0_88]) ).

cnf(refute_0_90,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_127,equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),X_127),B),equivalent(C,B)),C)),true),true) )],[refute_0_86,refute_0_89]) ).

cnf(refute_0_91,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))) = true,
    inference(subst,[],[refute_0_90:[bind(B,$fot(C)),bind(C,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))),bind(X_122,$fot(X_250)),bind(X_123,$fot(X_251)),bind(X_124,$fot(X_252)),bind(X_125,$fot(X_253)),bind(X_126,$fot(X_254)),bind(X_127,$fot(X_255))]]) ).

cnf(refute_0_92,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_93,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))),true) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true),true) )],[refute_0_59,refute_0_93]) ).

cnf(refute_0_95,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))))),bind(C,$fot(true))]]) ).

cnf(refute_0_96,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))))]]) ).

cnf(refute_0_97,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B)))) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_255,equivalent(equivalent(equivalent(equivalent(X_252,equivalent(equivalent(equivalent(X_252,X_253),equivalent(X_254,X_253)),X_254)),X_250),equivalent(X_251,X_250)),X_251)),X_255),C),B),equivalent(C,B))),true),true) )],[refute_0_94,refute_0_97]) ).

cnf(refute_0_99,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577),equivalent(X_578,X_577))) = true,
    inference(subst,[],[refute_0_98:[bind(B,$fot(X_577)),bind(C,$fot(X_578)),bind(X_250,$fot(X_579)),bind(X_251,$fot(X_580)),bind(X_252,$fot(X_581)),bind(X_253,$fot(X_582)),bind(X_254,$fot(X_583)),bind(X_255,$fot(X_584))]]) ).

cnf(refute_0_100,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577),equivalent(X_578,X_577))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577),equivalent(X_578,X_577))) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577),equivalent(X_578,X_577))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_101,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577),equivalent(X_578,X_577))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577),equivalent(X_578,X_577))),true) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577),equivalent(X_578,X_577))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true),true) )],[refute_0_58,refute_0_101]) ).

cnf(refute_0_103,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_104,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true)
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true))]]) ).

cnf(refute_0_105,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true)) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_584,equivalent(equivalent(equivalent(equivalent(X_581,equivalent(equivalent(equivalent(X_581,X_582),equivalent(X_583,X_582)),X_583)),X_579),equivalent(X_580,X_579)),X_580)),X_584),X_578),X_577)),true,is_a_theorem(equivalent(X_578,X_577)),true),true),true) )],[refute_0_102,refute_0_105]) ).

cnf(refute_0_107,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981),equivalent(equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980)),X_1981)),equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981))),X_1978)),true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) = true,
    inference(subst,[],[refute_0_106:[bind(X_577,$fot(X_1978)),bind(X_578,$fot(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)))),bind(X_579,$fot(X_1980)),bind(X_580,$fot(X_1981)),bind(X_581,$fot(X_1982)),bind(X_582,$fot(X_1983)),bind(X_583,$fot(X_1984)),bind(X_584,$fot(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)))]]) ).

cnf(refute_0_108,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384)),true,is_a_theorem(B),true),true) = true,
    inference(subst,[],[condensed_detachment:[bind(A,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384)))]]) ).

cnf(refute_0_109,plain,
    ifeq(is_a_theorem(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) = true,
    inference(subst,[],[refute_0_22:[bind(X_6,$fot(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371))))]]) ).

cnf(refute_0_110,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)),X_26))),true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) = true,
    inference(subst,[],[refute_0_56:[bind(B,$fot(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))))]]) ).

cnf(refute_0_111,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) = true,
    inference(subst,[],[condensed_detachment:[bind(A,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))))]]) ).

cnf(refute_0_112,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) = true,
    inference(subst,[],[refute_0_22:[bind(X_6,$fot(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))))]]) ).

cnf(refute_0_113,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_114,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true) )],[refute_0_39,refute_0_113]) ).

cnf(refute_0_115,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true),true) )],[refute_0_112,refute_0_114]) ).

cnf(refute_0_116,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)))),bind(C,$fot(true))]]) ).

cnf(refute_0_117,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)))]]) ).

cnf(refute_0_118,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C))) )],[refute_0_116,refute_0_117]) ).

cnf(refute_0_119,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_40),X_39),equivalent(X_40,X_39)),B),equivalent(C,B)),C)),true),true) )],[refute_0_115,refute_0_118]) ).

cnf(refute_0_120,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115)),B)) = true,
    inference(subst,[],[refute_0_119:[bind(B,$fot(X_115)),bind(C,$fot(B)),bind(X_39,$fot(X_117)),bind(X_40,$fot(X_118)),bind(X_41,$fot(X_119)),bind(X_42,$fot(X_120)),bind(X_43,$fot(X_121))]]) ).

cnf(refute_0_121,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115)),B)) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_122,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115)),B)),true) )],[refute_0_120,refute_0_121]) ).

cnf(refute_0_123,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115)),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true),true) )],[refute_0_111,refute_0_122]) ).

cnf(refute_0_124,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_125,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true)
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true))]]) ).

cnf(refute_0_126,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true)) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_118),X_117),equivalent(X_118,X_117)),X_115),equivalent(B,X_115))),true,is_a_theorem(B),true),true),true) )],[refute_0_123,refute_0_126]) ).

cnf(refute_0_128,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) = true,
    inference(subst,[],[refute_0_127:[bind(B,$fot(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)))),bind(X_115,$fot(equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)))),bind(X_117,$fot(equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),bind(X_118,$fot(X_340))]]) ).

cnf(refute_0_129,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134),equivalent(X_135,X_134))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) = true,
    inference(subst,[],[condensed_detachment:[bind(A,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134))),bind(B,$fot(equivalent(X_135,X_134)))]]) ).

cnf(refute_0_130,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) = true,
    inference(subst,[],[refute_0_12:[bind(A,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C))),bind(X_7,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))))]]) ).

cnf(refute_0_131,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) = true,
    inference(subst,[],[refute_0_22:[bind(X_6,$fot(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)))]]) ).

cnf(refute_0_132,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_133,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true) )],[refute_0_62,refute_0_132]) ).

cnf(refute_0_134,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27)),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true),true) )],[refute_0_131,refute_0_133]) ).

cnf(refute_0_135,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)))),bind(C,$fot(true))]]) ).

cnf(refute_0_136,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)))]]) ).

cnf(refute_0_137,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C))) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(X_27,X_26)),X_27),B),equivalent(C,B)),C)),true),true) )],[refute_0_134,refute_0_137]) ).

cnf(refute_0_139,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))) = true,
    inference(subst,[],[refute_0_138:[bind(B,$fot(C)),bind(C,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))),bind(X_23,$fot(X_65)),bind(X_24,$fot(X_66)),bind(X_25,$fot(X_67)),bind(X_26,$fot(X_68)),bind(X_27,$fot(X_69))]]) ).

cnf(refute_0_140,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_141,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))),true) )],[refute_0_139,refute_0_140]) ).

cnf(refute_0_142,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)),C)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true),true) )],[refute_0_130,refute_0_141]) ).

cnf(refute_0_143,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))))),bind(C,$fot(true))]]) ).

cnf(refute_0_144,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))))]]) ).

cnf(refute_0_145,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B)))) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_65,equivalent(equivalent(equivalent(X_65,X_66),equivalent(X_67,X_66)),X_67)),X_68),equivalent(X_69,X_68)),X_69),C),B),equivalent(C,B))),true),true) )],[refute_0_142,refute_0_145]) ).

cnf(refute_0_147,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134),equivalent(X_135,X_134))) = true,
    inference(subst,[],[refute_0_146:[bind(B,$fot(X_134)),bind(C,$fot(X_135)),bind(X_65,$fot(X_136)),bind(X_66,$fot(X_137)),bind(X_67,$fot(X_138)),bind(X_68,$fot(X_139)),bind(X_69,$fot(X_140))]]) ).

cnf(refute_0_148,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134),equivalent(X_135,X_134))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134),equivalent(X_135,X_134))) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134),equivalent(X_135,X_134))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_149,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134),equivalent(X_135,X_134))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) != true
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134),equivalent(X_135,X_134))),true) )],[refute_0_147,refute_0_148]) ).

cnf(refute_0_150,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134),equivalent(X_135,X_134))),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true),true) )],[refute_0_129,refute_0_149]) ).

cnf(refute_0_151,plain,
    ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_152,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true)
    | ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true))]]) ).

cnf(refute_0_153,plain,
    ( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true)) )],[refute_0_151,refute_0_152]) ).

cnf(refute_0_154,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_136,equivalent(equivalent(equivalent(X_136,X_137),equivalent(X_138,X_137)),X_138)),X_139),equivalent(X_140,X_139)),X_140),X_135),X_134)),true,is_a_theorem(equivalent(X_135,X_134)),true),true),true) )],[refute_0_150,refute_0_153]) ).

cnf(refute_0_155,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))),equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),X_333)),true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) = true,
    inference(subst,[],[refute_0_154:[bind(X_134,$fot(X_333)),bind(X_135,$fot(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))))),bind(X_136,$fot(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),bind(X_137,$fot(X_122)),bind(X_138,$fot(X_123)),bind(X_139,$fot(equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))),bind(X_140,$fot(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))))]]) ).

cnf(refute_0_156,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))),equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),X_333)) = true,
    inference(subst,[],[refute_0_90:[bind(B,$fot(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),bind(C,$fot(X_333)),bind(X_127,$fot(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))))]]) ).

cnf(refute_0_157,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))),equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),X_333)),true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))),equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),X_333)) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))),equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),X_333)),true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_158,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))),equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),X_333)),true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))),equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),X_333)),true) )],[refute_0_156,refute_0_157]) ).

cnf(refute_0_159,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123)),equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),equivalent(equivalent(equivalent(equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)),X_122),equivalent(X_123,X_122)),X_123))),equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126)))),X_333)),true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true),true) )],[refute_0_155,refute_0_158]) ).

cnf(refute_0_160,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) = is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)))),bind(C,$fot(true))]]) ).

cnf(refute_0_161,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) != is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) != true
    | is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)))]]) ).

cnf(refute_0_162,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true) != true
    | is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true),is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333))) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_333,equivalent(X_124,equivalent(equivalent(equivalent(X_124,X_125),equivalent(X_126,X_125)),X_126))),X_333)),true),true) )],[refute_0_159,refute_0_162]) ).

cnf(refute_0_164,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))) = true,
    inference(subst,[],[refute_0_163:[bind(X_124,$fot(X_340)),bind(X_125,$fot(X_341)),bind(X_126,$fot(X_342)),bind(X_333,$fot(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)))))]]) ).

cnf(refute_0_165,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_166,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))),true) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),equivalent(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)),equivalent(X_340,equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true),true) )],[refute_0_128,refute_0_166]) ).

cnf(refute_0_168,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) = is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))),bind(C,$fot(true))]]) ).

cnf(refute_0_169,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) != is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))))]]) ).

cnf(refute_0_170,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true),is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342)))) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_119,equivalent(equivalent(equivalent(X_119,X_120),equivalent(X_121,X_120)),X_121)),X_340),equivalent(equivalent(equivalent(X_340,X_341),equivalent(X_342,X_341)),X_342))),true),true) )],[refute_0_167,refute_0_170]) ).

cnf(refute_0_172,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)),X_26))) = true,
    inference(subst,[],[refute_0_171:[bind(X_119,$fot(X_23)),bind(X_120,$fot(X_24)),bind(X_121,$fot(X_25)),bind(X_340,$fot(X_26)),bind(X_341,$fot(X_368)),bind(X_342,$fot(X_26))]]) ).

cnf(refute_0_173,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)),X_26))),true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)),X_26))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)),X_26))),true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_174,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)),X_26))),true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)),X_26))),true) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_23,equivalent(equivalent(equivalent(X_23,X_24),equivalent(X_25,X_24)),X_25)),X_26),equivalent(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)),X_26))),true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true),true) )],[refute_0_110,refute_0_174]) ).

cnf(refute_0_176,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) = is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))))),bind(C,$fot(true))]]) ).

cnf(refute_0_177,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) != is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) != true
    | is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))))]]) ).

cnf(refute_0_178,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true) != true
    | is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true),is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368)))) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_26,X_368),equivalent(X_26,X_368))),true),true) )],[refute_0_175,refute_0_178]) ).

cnf(refute_0_180,plain,
    is_a_theorem(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371))) = true,
    inference(subst,[],[refute_0_179:[bind(X_26,$fot(X_370)),bind(X_368,$fot(X_371))]]) ).

cnf(refute_0_181,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_182,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371))),true) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true),true) )],[refute_0_109,refute_0_182]) ).

cnf(refute_0_184,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)))),bind(C,$fot(true))]]) ).

cnf(refute_0_185,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)))]]) ).

cnf(refute_0_186,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C))) )],[refute_0_184,refute_0_185]) ).

cnf(refute_0_187,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_370,X_371),equivalent(X_370,X_371)),B),equivalent(C,B)),C)),true),true) )],[refute_0_183,refute_0_186]) ).

cnf(refute_0_188,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384)) = true,
    inference(subst,[],[refute_0_187:[bind(B,$fot(X_383)),bind(C,$fot(X_384)),bind(X_370,$fot(X_385)),bind(X_371,$fot(X_386))]]) ).

cnf(refute_0_189,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384)),true,is_a_theorem(B),true),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384)) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384)),true,is_a_theorem(B),true),true),true) ),[0,2,0],$fot(true)]]) ).

cnf(refute_0_190,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384)),true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384)),true) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384)),true,is_a_theorem(B),true),true),true) )],[refute_0_108,refute_0_190]) ).

cnf(refute_0_192,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true),
    introduced(tautology,[refl,[$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true))]]) ).

cnf(refute_0_193,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true)
    | ifeq(true,true,is_a_theorem(B),true) != is_a_theorem(B)
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,is_a_theorem(B),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true)) ),[1,2],$fot(is_a_theorem(B))]]) ).

cnf(refute_0_194,plain,
    ( ifeq(true,true,is_a_theorem(B),true) != is_a_theorem(B)
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,is_a_theorem(B),true) ),
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true)) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,is_a_theorem(B),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(B),true),is_a_theorem(B)) )],[refute_0_66,refute_0_194]) ).

cnf(refute_0_196,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,is_a_theorem(B),true)
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,is_a_theorem(B),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,is_a_theorem(B),true))]]) ).

cnf(refute_0_197,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true) != true
    | ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,is_a_theorem(B),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,is_a_theorem(B),true)) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,is_a_theorem(B),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_385,X_386),equivalent(X_385,X_386)),X_383),equivalent(X_384,X_383)),X_384),B)),true,ifeq(true,true,is_a_theorem(B),true),true),true) )],[refute_0_191,refute_0_197]) ).

cnf(refute_0_199,plain,
    ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_887)),equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) = true,
    inference(subst,[],[refute_0_198:[bind(B,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))),bind(X_383,$fot(X_887)),bind(X_384,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)))),bind(X_385,$fot(X_889)),bind(X_386,$fot(X_890))]]) ).

cnf(refute_0_200,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_887)),equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))) = true,
    inference(subst,[],[refute_0_171:[bind(X_119,$fot(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887))),bind(X_121,$fot(X_887)),bind(X_340,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120))))]]) ).

cnf(refute_0_201,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_887)),equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_887)),equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_887)),equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_202,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_887)),equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_887)),equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))),true) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_887)),equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true),true) )],[refute_0_199,refute_0_202]) ).

cnf(refute_0_204,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)))),bind(C,$fot(true))]]) ).

cnf(refute_0_205,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)))]]) ).

cnf(refute_0_206,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342))) )],[refute_0_204,refute_0_205]) ).

cnf(refute_0_207,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),X_887),X_120),equivalent(X_887,X_120)),X_341),equivalent(X_342,X_341)),X_342)),true),true) )],[refute_0_203,refute_0_206]) ).

cnf(refute_0_208,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981),equivalent(equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980)),X_1981)),equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981))),X_1978)) = true,
    inference(subst,[],[refute_0_207:[bind(X_120,$fot(X_1981)),bind(X_341,$fot(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981))),bind(X_342,$fot(X_1978)),bind(X_887,$fot(equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))))]]) ).

cnf(refute_0_209,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981),equivalent(equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980)),X_1981)),equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981))),X_1978)),true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981),equivalent(equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980)),X_1981)),equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981))),X_1978)) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981),equivalent(equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980)),X_1981)),equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981))),X_1978)),true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_210,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981),equivalent(equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980)),X_1981)),equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981))),X_1978)),true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981),equivalent(equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980)),X_1981)),equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981))),X_1978)),true) )],[refute_0_208,refute_0_209]) ).

cnf(refute_0_211,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981),equivalent(equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980)),X_1981)),equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981))),X_1978)),true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true),true) )],[refute_0_107,refute_0_210]) ).

cnf(refute_0_212,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) = is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)))),bind(C,$fot(true))]]) ).

cnf(refute_0_213,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) != is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) != true
    | is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)))]]) ).

cnf(refute_0_214,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true) != true
    | is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true),is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978))) )],[refute_0_212,refute_0_213]) ).

cnf(refute_0_215,plain,
    is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_1978,equivalent(equivalent(equivalent(equivalent(X_889,X_890),equivalent(X_889,X_890)),equivalent(equivalent(equivalent(X_1982,equivalent(equivalent(equivalent(X_1982,X_1983),equivalent(X_1984,X_1983)),X_1984)),X_1980),equivalent(X_1981,X_1980))),X_1981)),X_1978)),true),true) )],[refute_0_211,refute_0_214]) ).

cnf(refute_0_216,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))) = true,
    inference(subst,[],[refute_0_215:[bind(X_1978,$fot(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))),bind(X_1980,$fot(X_2810)),bind(X_1981,$fot(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),bind(X_1982,$fot(X_2812)),bind(X_1983,$fot(X_2813)),bind(X_1984,$fot(X_2814)),bind(X_889,$fot(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),bind(X_890,$fot(X_2810))]]) ).

cnf(refute_0_217,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_218,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))),true) )],[refute_0_216,refute_0_217]) ).

cnf(refute_0_219,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))),equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))),equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true),true) )],[refute_0_57,refute_0_218]) ).

cnf(refute_0_220,plain,
    ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) = is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)))),bind(C,$fot(true))]]) ).

cnf(refute_0_221,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) != is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))
    | ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)))]]) ).

cnf(refute_0_222,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true),is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810))) )],[refute_0_220,refute_0_221]) ).

cnf(refute_0_223,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_2812,equivalent(equivalent(equivalent(X_2812,X_2813),equivalent(X_2814,X_2813)),X_2814)),X_2810),X_2810)),true),true) )],[refute_0_219,refute_0_222]) ).

cnf(refute_0_224,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_39),X_39)) = true,
    inference(subst,[],[refute_0_223:[bind(X_2810,$fot(X_39)),bind(X_2812,$fot(X_41)),bind(X_2813,$fot(X_42)),bind(X_2814,$fot(X_43))]]) ).

cnf(refute_0_225,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_39),X_39)),true,is_a_theorem(equivalent(X_39,X_39)),true) != true
    | is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_39),X_39)) != true
    | ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_39),X_39)),true,is_a_theorem(equivalent(X_39,X_39)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_226,plain,
    ( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_39),X_39)),true,is_a_theorem(equivalent(X_39,X_39)),true) != true
    | ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_39),X_39)),true) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_41,equivalent(equivalent(equivalent(X_41,X_42),equivalent(X_43,X_42)),X_43)),X_39),X_39)),true,is_a_theorem(equivalent(X_39,X_39)),true),true) )],[refute_0_47,refute_0_226]) ).

cnf(refute_0_228,plain,
    ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true) = is_a_theorem(equivalent(X_39,X_39)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_39,X_39)))),bind(C,$fot(true))]]) ).

cnf(refute_0_229,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true) != is_a_theorem(equivalent(X_39,X_39))
    | ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true) != true
    | is_a_theorem(equivalent(X_39,X_39)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true),true) ),[0],$fot(is_a_theorem(equivalent(X_39,X_39)))]]) ).

cnf(refute_0_230,plain,
    ( ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true) != true
    | is_a_theorem(equivalent(X_39,X_39)) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true),is_a_theorem(equivalent(X_39,X_39))) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    is_a_theorem(equivalent(X_39,X_39)) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_39,X_39)),true),true) )],[refute_0_227,refute_0_230]) ).

cnf(refute_0_232,plain,
    is_a_theorem(equivalent(a,a)) = true,
    inference(subst,[],[refute_0_231:[bind(X_39,$fot(a))]]) ).

cnf(refute_0_233,plain,
    ( is_a_theorem(equivalent(a,a)) != true
    | true != true
    | is_a_theorem(equivalent(a,a)) = true ),
    introduced(tautology,[equality,[$cnf( ~ $equal(is_a_theorem(equivalent(a,a)),true) ),[0],$fot(true)]]) ).

cnf(refute_0_234,plain,
    ( true != true
    | is_a_theorem(equivalent(a,a)) = true ),
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(a,a)),true) )],[refute_0_232,refute_0_233]) ).

cnf(refute_0_235,plain,
    true != true,
    inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(a,a)),true) )],[refute_0_234,prove_reflexivity]) ).

cnf(refute_0_236,plain,
    true = true,
    introduced(tautology,[refl,[$fot(true)]]) ).

cnf(refute_0_237,plain,
    $false,
    inference(resolve,[$cnf( $equal(true,true) )],[refute_0_236,refute_0_235]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL416-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04  % Command  : metis --show proof --show saturation %s
% 0.08/0.34  % Computer : n016.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Fri Sep  4 14:27:28 UTC 2026
% 0.08/0.34  % CPUTime  : 
% 0.08/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 104.15/104.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 104.15/104.46  
% 104.15/104.46  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 104.95/105.29  
%------------------------------------------------------------------------------