TSTP Solution File: LCL024-10 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL024-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:48:51 EDT 2022
% Result : Unsatisfiable 187.25s 187.55s
% Output : CNFRefutation 187.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 80
% Number of leaves : 96
% Syntax : Number of clauses : 381 ( 209 unt; 0 nHn; 172 RR)
% Number of literals : 639 ( 638 equ; 260 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 1330 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(A,A,B,C) = B ).
cnf(condensed_detachment,axiom,
ifeq(is_a_theorem(equivalent(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true ).
cnf(xgk,axiom,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))) = true ).
cnf(prove_pyo,negated_conjecture,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))) != true ).
cnf(refute_0_0,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(Y),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))))]]) ).
cnf(refute_0_1,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30)),true,is_a_theorem(Y),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30)))]]) ).
cnf(refute_0_2,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(is_a_theorem(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6)))),true,is_a_theorem(Y),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6)))))]]) ).
cnf(refute_0_3,plain,
is_a_theorem(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6)))) = true,
inference(subst,[],[xgk:[bind(X,$fot(X_5)),bind(Y,$fot(X_6)),bind(Z,$fot(X_7))]]) ).
cnf(refute_0_4,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(is_a_theorem(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6)))),true,is_a_theorem(Y),true),true) != true
| is_a_theorem(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6)))) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(is_a_theorem(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6)))),true,is_a_theorem(Y),true),true),true) ),[0,2,0],$fot(true)]]) ).
cnf(refute_0_5,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(is_a_theorem(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6)))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6)))),true) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(is_a_theorem(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6)))),true,is_a_theorem(Y),true),true),true) )],[refute_0_2,refute_0_5]) ).
cnf(refute_0_7,plain,
ifeq(true,true,is_a_theorem(Y),true) = is_a_theorem(Y),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(Y))),bind(C,$fot(true))]]) ).
cnf(refute_0_8,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),
introduced(tautology,[refl,[$fot(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true))]]) ).
cnf(refute_0_9,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)
| ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,is_a_theorem(Y),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) ),[1,2],$fot(is_a_theorem(Y))]]) ).
cnf(refute_0_10,plain,
( ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,is_a_theorem(Y),true) ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,is_a_theorem(Y),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(Y),true),is_a_theorem(Y)) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,is_a_theorem(Y),true)
| ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,is_a_theorem(Y),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,is_a_theorem(Y),true))]]) ).
cnf(refute_0_13,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,is_a_theorem(Y),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,is_a_theorem(Y),true)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,is_a_theorem(Y),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_7,X_5)),equivalent(X_7,X_6))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) )],[refute_0_6,refute_0_13]) ).
cnf(refute_0_15,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24))))),equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) = true,
inference(subst,[],[refute_0_14:[bind(Y,$fot(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))),bind(X_6,$fot(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24))))]]) ).
cnf(refute_0_16,plain,
ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6)))),true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(Y,$fot(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))))]]) ).
cnf(refute_0_17,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6)))) = true,
inference(subst,[],[xgk:[bind(Y,$fot(X_6)),bind(Z,$fot(X_7))]]) ).
cnf(refute_0_18,plain,
( ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6)))),true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) != true
| is_a_theorem(equivalent(X,equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6)))) != true
| ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6)))),true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_19,plain,
( ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6)))),true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) != true
| ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X,equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6)))),true) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6)))),true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true),true) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) = ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_22,plain,
( ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) != ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true)
| ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) != true
| ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true),true) ),[0],$fot(ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true))]]) ).
cnf(refute_0_23,plain,
( ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true) != true
| ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true),ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(X),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,X)),equivalent(X_7,X_6))),true),true),true) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) = true,
inference(subst,[],[refute_0_24:[bind(X,$fot(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),bind(X_6,$fot(X_9)),bind(X_7,$fot(X_10))]]) ).
cnf(refute_0_26,plain,
( ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) != true
| is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_27,plain,
( ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),true) )],[xgk,refute_0_26]) ).
cnf(refute_0_28,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true),true) )],[refute_0_25,refute_0_27]) ).
cnf(refute_0_29,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) = is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))))),bind(C,$fot(true))]]) ).
cnf(refute_0_30,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) != is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9)))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) != true
| is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))))]]) ).
cnf(refute_0_31,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true) != true
| is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true),is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9)))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_9,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,X_9))),true),true) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24))))),equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))) = true,
inference(subst,[],[refute_0_32:[bind(X,$fot(X_7)),bind(Y,$fot(X_24)),bind(Z,$fot(X_25)),bind(X_10,$fot(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)))),bind(X_9,$fot(X_5))]]) ).
cnf(refute_0_34,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24))))),equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24))))),equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24))))),equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_35,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24))))),equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24))))),equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))),true) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24))))),equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true),true) )],[refute_0_15,refute_0_35]) ).
cnf(refute_0_37,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)))),bind(C,$fot(true))]]) ).
cnf(refute_0_38,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)))]]) ).
cnf(refute_0_39,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,X_5)),X_5)),true),true) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30)) = true,
inference(subst,[],[refute_0_40:[bind(X_24,$fot(X_28)),bind(X_25,$fot(X_29)),bind(X_5,$fot(X_30)),bind(X_7,$fot(X_31))]]) ).
cnf(refute_0_42,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30)),true,is_a_theorem(Y),true),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30)) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30)),true,is_a_theorem(Y),true),true),true) ),[0,2,0],$fot(true)]]) ).
cnf(refute_0_43,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30)),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30)),true) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30)),true,is_a_theorem(Y),true),true),true) )],[refute_0_1,refute_0_43]) ).
cnf(refute_0_45,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),
introduced(tautology,[refl,[$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true))]]) ).
cnf(refute_0_46,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)
| ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,is_a_theorem(Y),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) ),[1,2],$fot(is_a_theorem(Y))]]) ).
cnf(refute_0_47,plain,
( ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,is_a_theorem(Y),true) ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,is_a_theorem(Y),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(Y),true),is_a_theorem(Y)) )],[refute_0_7,refute_0_47]) ).
cnf(refute_0_49,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,is_a_theorem(Y),true)
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,is_a_theorem(Y),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,is_a_theorem(Y),true))]]) ).
cnf(refute_0_50,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,is_a_theorem(Y),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,is_a_theorem(Y),true)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,is_a_theorem(Y),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,X_30)),X_30),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) )],[refute_0_44,refute_0_50]) ).
cnf(refute_0_52,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_31,equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))),equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) = true,
inference(subst,[],[refute_0_51:[bind(Y,$fot(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),bind(X_28,$fot(X_31)),bind(X_29,$fot(X_1150)),bind(X_30,$fot(equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))))]]) ).
cnf(refute_0_53,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145))))))),equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) = true,
inference(subst,[],[refute_0_14:[bind(Y,$fot(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))),bind(X_6,$fot(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145))))))]]) ).
cnf(refute_0_54,plain,
ifeq(is_a_theorem(equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85)))))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) = true,
inference(subst,[],[refute_0_24:[bind(X,$fot(equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85)))))))]]) ).
cnf(refute_0_55,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(Y),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_36,X_36)))]]) ).
cnf(refute_0_56,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))))]]) ).
cnf(refute_0_57,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y)),Y)) = true,
inference(subst,[],[refute_0_40:[bind(X_24,$fot(X_28)),bind(X_25,$fot(X_29)),bind(X_5,$fot(Y)),bind(X_7,$fot(X_31))]]) ).
cnf(refute_0_58,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y)),Y)) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_59,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y)),Y)),true) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true),true) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_62,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true)
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true))]]) ).
cnf(refute_0_63,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_28,equivalent(X_29,X_31)),equivalent(X_29,X_28)),equivalent(X_31,Y))),true,is_a_theorem(Y),true),true),true) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,equivalent(X_34,X_34)),equivalent(X_34,X_35)),equivalent(X_34,equivalent(X_35,equivalent(X_34,X_34)))),equivalent(X_35,equivalent(X_34,X_34)))),true,is_a_theorem(equivalent(X_34,X_34)),true) = true,
inference(subst,[],[refute_0_64:[bind(Y,$fot(equivalent(X_34,X_34))),bind(X_28,$fot(equivalent(X_35,equivalent(X_34,X_34)))),bind(X_29,$fot(X_34)),bind(X_31,$fot(X_35))]]) ).
cnf(refute_0_66,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,equivalent(X_34,X_34)),equivalent(X_34,X_35)),equivalent(X_34,equivalent(X_35,equivalent(X_34,X_34)))),equivalent(X_35,equivalent(X_34,X_34)))) = true,
inference(subst,[],[refute_0_40:[bind(X_24,$fot(X_35)),bind(X_25,$fot(X_34)),bind(X_5,$fot(equivalent(X_35,equivalent(X_34,X_34)))),bind(X_7,$fot(X_34))]]) ).
cnf(refute_0_67,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,equivalent(X_34,X_34)),equivalent(X_34,X_35)),equivalent(X_34,equivalent(X_35,equivalent(X_34,X_34)))),equivalent(X_35,equivalent(X_34,X_34)))),true,is_a_theorem(equivalent(X_34,X_34)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,equivalent(X_34,X_34)),equivalent(X_34,X_35)),equivalent(X_34,equivalent(X_35,equivalent(X_34,X_34)))),equivalent(X_35,equivalent(X_34,X_34)))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,equivalent(X_34,X_34)),equivalent(X_34,X_35)),equivalent(X_34,equivalent(X_35,equivalent(X_34,X_34)))),equivalent(X_35,equivalent(X_34,X_34)))),true,is_a_theorem(equivalent(X_34,X_34)),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_68,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,equivalent(X_34,X_34)),equivalent(X_34,X_35)),equivalent(X_34,equivalent(X_35,equivalent(X_34,X_34)))),equivalent(X_35,equivalent(X_34,X_34)))),true,is_a_theorem(equivalent(X_34,X_34)),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,equivalent(X_34,X_34)),equivalent(X_34,X_35)),equivalent(X_34,equivalent(X_35,equivalent(X_34,X_34)))),equivalent(X_35,equivalent(X_34,X_34)))),true) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,equivalent(X_34,X_34)),equivalent(X_34,X_35)),equivalent(X_34,equivalent(X_35,equivalent(X_34,X_34)))),equivalent(X_35,equivalent(X_34,X_34)))),true,is_a_theorem(equivalent(X_34,X_34)),true),true) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true) = is_a_theorem(equivalent(X_34,X_34)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_34,X_34)))),bind(C,$fot(true))]]) ).
cnf(refute_0_71,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true) != is_a_theorem(equivalent(X_34,X_34))
| ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true) != true
| is_a_theorem(equivalent(X_34,X_34)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true),true) ),[0],$fot(is_a_theorem(equivalent(X_34,X_34)))]]) ).
cnf(refute_0_72,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true) != true
| is_a_theorem(equivalent(X_34,X_34)) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true),is_a_theorem(equivalent(X_34,X_34))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
is_a_theorem(equivalent(X_34,X_34)) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_34,X_34)),true),true) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
is_a_theorem(equivalent(X_36,X_36)) = true,
inference(subst,[],[refute_0_73:[bind(X_34,$fot(X_36))]]) ).
cnf(refute_0_75,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(Y),true),true) != true
| is_a_theorem(equivalent(X_36,X_36)) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(Y),true),true),true) ),[0,2,0],$fot(true)]]) ).
cnf(refute_0_76,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X_36,X_36)),true) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(Y),true),true),true) )],[refute_0_55,refute_0_76]) ).
cnf(refute_0_78,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),
introduced(tautology,[refl,[$fot(ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true))]]) ).
cnf(refute_0_79,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)
| ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,is_a_theorem(Y),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) ),[1,2],$fot(is_a_theorem(Y))]]) ).
cnf(refute_0_80,plain,
( ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,is_a_theorem(Y),true) ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,is_a_theorem(Y),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(Y),true),is_a_theorem(Y)) )],[refute_0_7,refute_0_80]) ).
cnf(refute_0_82,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,is_a_theorem(Y),true)
| ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,is_a_theorem(Y),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,is_a_theorem(Y),true))]]) ).
cnf(refute_0_83,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,is_a_theorem(Y),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,is_a_theorem(Y),true)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,is_a_theorem(Y),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_36,X_36),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) )],[refute_0_77,refute_0_83]) ).
cnf(refute_0_85,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))),true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) = true,
inference(subst,[],[refute_0_84:[bind(Y,$fot(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))),bind(X_36,$fot(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))]]) ).
cnf(refute_0_86,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))) = true,
inference(subst,[],[refute_0_32:[bind(X_9,$fot(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))]]) ).
cnf(refute_0_87,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))),true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))),true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_88,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))),true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))),true) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))),equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))),equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))),true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true),true) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) = is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))))),bind(C,$fot(true))]]) ).
cnf(refute_0_91,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) != is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))
| ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) != true
| is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true),true) ),[0],$fot(is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))))]]) ).
cnf(refute_0_92,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true) != true
| is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true),is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y))))))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_10,equivalent(X_10,equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Z,Y)))))),true),true) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
is_a_theorem(equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85)))))) = true,
inference(subst,[],[refute_0_93:[bind(X,$fot(X_84)),bind(Y,$fot(X_85)),bind(Z,$fot(X_86)),bind(X_10,$fot(X_87))]]) ).
cnf(refute_0_95,plain,
( ifeq(is_a_theorem(equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85)))))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85)))))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85)))))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_96,plain,
( ifeq(is_a_theorem(equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85)))))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85)))))),true) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85)))))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true),true) )],[refute_0_54,refute_0_96]) ).
cnf(refute_0_98,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) = is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))))),bind(C,$fot(true))]]) ).
cnf(refute_0_99,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) != is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6)))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))))]]) ).
cnf(refute_0_100,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true),is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6)))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_87,equivalent(X_87,equivalent(X_84,equivalent(equivalent(X_85,equivalent(X_86,X_84)),equivalent(X_86,X_85))))))),equivalent(X_7,X_6))),true),true) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145))))))),equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))) = true,
inference(subst,[],[refute_0_101:[bind(X_6,$fot(X_5)),bind(X_7,$fot(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)))),bind(X_84,$fot(X_1144)),bind(X_85,$fot(X_1145)),bind(X_86,$fot(X_1146)),bind(X_87,$fot(X_7))]]) ).
cnf(refute_0_103,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145))))))),equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145))))))),equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145))))))),equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_104,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145))))))),equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145))))))),equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))),true) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145))))))),equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true),true) )],[refute_0_53,refute_0_104]) ).
cnf(refute_0_106,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) = is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)))),bind(C,$fot(true))]]) ).
cnf(refute_0_107,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) != is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)))]]) ).
cnf(refute_0_108,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true),is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_7,equivalent(X_1144,equivalent(equivalent(X_1145,equivalent(X_1146,X_1144)),equivalent(X_1146,X_1145)))),equivalent(X_7,X_5)),X_5)),true),true) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_31,equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))),equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))) = true,
inference(subst,[],[refute_0_109:[bind(X_1144,$fot(X_31)),bind(X_1145,$fot(equivalent(X_31,equivalent(X_1150,X_31)))),bind(X_1146,$fot(X_1150)),bind(X_5,$fot(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),bind(X_7,$fot(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31))))]]) ).
cnf(refute_0_111,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_31,equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))),equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_31,equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))),equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_31,equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))),equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_112,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_31,equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))),equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_31,equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))),equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),true) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_31,equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))),equivalent(equivalent(equivalent(X_31,equivalent(X_1150,X_31)),equivalent(X_1150,X_31)),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))),true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true),true) )],[refute_0_52,refute_0_112]) ).
cnf(refute_0_114,plain,
ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) = is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))),bind(C,$fot(true))]]) ).
cnf(refute_0_115,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) != is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))
| ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) != true
| is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true),true) ),[0],$fot(is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))))]]) ).
cnf(refute_0_116,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true) != true
| is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true),is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31))))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_1150,equivalent(X_31,equivalent(X_1150,X_31)))),true),true) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))) = true,
inference(subst,[],[refute_0_117:[bind(X_1150,$fot(X_1153)),bind(X_31,$fot(X_1154))]]) ).
cnf(refute_0_119,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(Y),true),true) != true
| is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(Y),true),true),true) ),[0,2,0],$fot(true)]]) ).
cnf(refute_0_120,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(Y),true),true),true) )],[refute_0_0,refute_0_120]) ).
cnf(refute_0_122,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),
introduced(tautology,[refl,[$fot(ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true))]]) ).
cnf(refute_0_123,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)
| ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,is_a_theorem(Y),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) ),[1,2],$fot(is_a_theorem(Y))]]) ).
cnf(refute_0_124,plain,
( ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,is_a_theorem(Y),true) ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,is_a_theorem(Y),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(Y),true),is_a_theorem(Y)) )],[refute_0_7,refute_0_124]) ).
cnf(refute_0_126,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,is_a_theorem(Y),true)
| ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,is_a_theorem(Y),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,is_a_theorem(Y),true))]]) ).
cnf(refute_0_127,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,is_a_theorem(Y),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,is_a_theorem(Y),true)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,is_a_theorem(Y),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) )],[refute_0_121,refute_0_127]) ).
cnf(refute_0_129,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(equivalent(X_3121,X_3120),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) = true,
inference(subst,[],[refute_0_128:[bind(Y,$fot(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),bind(X_1153,$fot(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119))),bind(X_1154,$fot(equivalent(X_3121,X_3120)))]]) ).
cnf(refute_0_130,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_2913,X_2912),equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911))),true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_2913,X_2912))),bind(Y,$fot(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)))]]) ).
cnf(refute_0_131,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004))),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))))]]) ).
cnf(refute_0_132,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505)))),equivalent(X_508,X_507))),true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505)))))),bind(Y,$fot(equivalent(X_508,X_507)))]]) ).
cnf(refute_0_133,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) = true,
inference(subst,[],[refute_0_24:[bind(X,$fot(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))))]]) ).
cnf(refute_0_134,plain,
ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) = true,
inference(subst,[],[refute_0_24:[bind(X,$fot(equivalent(X_36,X_36)))]]) ).
cnf(refute_0_135,plain,
( ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(X_36,X_36)) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_136,plain,
( ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X_36,X_36)),true) )],[refute_0_74,refute_0_135]) ).
cnf(refute_0_137,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_36,X_36)),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true),true) )],[refute_0_134,refute_0_136]) ).
cnf(refute_0_138,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) = is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))))),bind(C,$fot(true))]]) ).
cnf(refute_0_139,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) != is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6)))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))))]]) ).
cnf(refute_0_140,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true),is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6)))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_36,X_36))),equivalent(X_7,X_6))),true),true) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))) = true,
inference(subst,[],[refute_0_141:[bind(X_36,$fot(X_55)),bind(X_6,$fot(X_56)),bind(X_7,$fot(X_57))]]) ).
cnf(refute_0_143,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_144,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true),true) )],[refute_0_133,refute_0_144]) ).
cnf(refute_0_146,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) = is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))))),bind(C,$fot(true))]]) ).
cnf(refute_0_147,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) != is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6)))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))))]]) ).
cnf(refute_0_148,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true),is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6)))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56)))),equivalent(X_7,X_6))),true),true) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
is_a_theorem(equivalent(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505)))),equivalent(X_508,X_507))) = true,
inference(subst,[],[refute_0_149:[bind(X_55,$fot(X_504)),bind(X_56,$fot(X_505)),bind(X_57,$fot(X_506)),bind(X_6,$fot(X_507)),bind(X_7,$fot(X_508))]]) ).
cnf(refute_0_151,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505)))),equivalent(X_508,X_507))),true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) != true
| is_a_theorem(equivalent(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505)))),equivalent(X_508,X_507))) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505)))),equivalent(X_508,X_507))),true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_152,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505)))),equivalent(X_508,X_507))),true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505)))),equivalent(X_508,X_507))),true) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505)))),equivalent(X_508,X_507))),true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true),true) )],[refute_0_132,refute_0_152]) ).
cnf(refute_0_154,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) = ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_155,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) != ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true)
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) != true
| ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true))]]) ).
cnf(refute_0_156,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true) != true
| ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true),ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_507,equivalent(X_508,equivalent(equivalent(X_505,equivalent(X_506,equivalent(X_504,X_504))),equivalent(X_506,X_505))))),true,is_a_theorem(equivalent(X_508,X_507)),true),true),true) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
ifeq(is_a_theorem(equivalent(X_1997,equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(X_1996,equivalent(X_1997,X_1996)))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) = true,
inference(subst,[],[refute_0_157:[bind(X_504,$fot(X_1994)),bind(X_505,$fot(equivalent(X_1997,X_1996))),bind(X_506,$fot(X_1996)),bind(X_507,$fot(X_1997)),bind(X_508,$fot(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994)))))]]) ).
cnf(refute_0_159,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))))]]) ).
cnf(refute_0_160,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_1226,equivalent(X_7,X_1226))))),equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) = true,
inference(subst,[],[refute_0_14:[bind(Y,$fot(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))),bind(X_6,$fot(equivalent(X_1226,equivalent(X_7,X_1226))))]]) ).
cnf(refute_0_161,plain,
ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) = true,
inference(subst,[],[refute_0_24:[bind(X,$fot(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))))]]) ).
cnf(refute_0_162,plain,
( ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_163,plain,
( ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true) )],[refute_0_118,refute_0_162]) ).
cnf(refute_0_164,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true),true) )],[refute_0_161,refute_0_163]) ).
cnf(refute_0_165,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) = is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))))),bind(C,$fot(true))]]) ).
cnf(refute_0_166,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) != is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6)))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))))]]) ).
cnf(refute_0_167,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true),is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6)))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_1153,equivalent(X_1154,equivalent(X_1153,X_1154))))),equivalent(X_7,X_6))),true),true) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_1226,equivalent(X_7,X_1226))))),equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))) = true,
inference(subst,[],[refute_0_168:[bind(X_1153,$fot(X_7)),bind(X_1154,$fot(X_1226)),bind(X_6,$fot(X_5)),bind(X_7,$fot(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5))))]]) ).
cnf(refute_0_170,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_1226,equivalent(X_7,X_1226))))),equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_1226,equivalent(X_7,X_1226))))),equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_1226,equivalent(X_7,X_1226))))),equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_171,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_1226,equivalent(X_7,X_1226))))),equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_1226,equivalent(X_7,X_1226))))),equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))),true) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_1226,equivalent(X_7,X_1226))))),equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true),true) )],[refute_0_160,refute_0_171]) ).
cnf(refute_0_173,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) = is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)))),bind(C,$fot(true))]]) ).
cnf(refute_0_174,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) != is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)))]]) ).
cnf(refute_0_175,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true),is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1226,equivalent(X_7,X_1226)),equivalent(X_7,X_5)),X_5)),true),true) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y)),Y)) = true,
inference(subst,[],[refute_0_176:[bind(X_1226,$fot(X_1548)),bind(X_5,$fot(Y)),bind(X_7,$fot(X_1550))]]) ).
cnf(refute_0_178,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y)),Y)) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_179,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y)),Y)),true) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true),true) )],[refute_0_159,refute_0_179]) ).
cnf(refute_0_181,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_182,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true)
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true))]]) ).
cnf(refute_0_183,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_1548,equivalent(X_1550,X_1548)),equivalent(X_1550,Y))),true,is_a_theorem(Y),true),true),true) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_1732,equivalent(X_1733,X_1732)),equivalent(X_1733,equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))),true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) = true,
inference(subst,[],[refute_0_184:[bind(Y,$fot(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732))))))),bind(X_1548,$fot(X_1732)),bind(X_1550,$fot(X_1733))]]) ).
cnf(refute_0_186,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))))]]) ).
cnf(refute_0_187,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_435,equivalent(X_435,X_7))))),equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) = true,
inference(subst,[],[refute_0_14:[bind(Y,$fot(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))),bind(X_6,$fot(equivalent(X_435,equivalent(X_435,X_7))))]]) ).
cnf(refute_0_188,plain,
ifeq(is_a_theorem(equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) = true,
inference(subst,[],[refute_0_24:[bind(X,$fot(equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165)))))]]) ).
cnf(refute_0_189,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24))))),equivalent(X_26,X_27))),true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24))))))),bind(Y,$fot(equivalent(X_26,X_27)))]]) ).
cnf(refute_0_190,plain,
is_a_theorem(equivalent(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24))))),equivalent(X_26,X_27))) = true,
inference(subst,[],[refute_0_32:[bind(X,$fot(X_23)),bind(Y,$fot(X_24)),bind(Z,$fot(X_25)),bind(X_10,$fot(X_26)),bind(X_9,$fot(X_27))]]) ).
cnf(refute_0_191,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24))))),equivalent(X_26,X_27))),true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) != true
| is_a_theorem(equivalent(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24))))),equivalent(X_26,X_27))) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24))))),equivalent(X_26,X_27))),true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_192,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24))))),equivalent(X_26,X_27))),true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24))))),equivalent(X_26,X_27))),true) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24))))),equivalent(X_26,X_27))),true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true),true) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) = ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_195,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) != ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true)
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) != true
| ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true))]]) ).
cnf(refute_0_196,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true) != true
| ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true),ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_27,equivalent(X_26,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_25,X_23)),equivalent(X_25,X_24)))))),true,is_a_theorem(equivalent(X_26,X_27)),true),true),true) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_24,X_24)))))),true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) = true,
inference(subst,[],[refute_0_197:[bind(X_25,$fot(X_24)),bind(X_26,$fot(X_23)),bind(X_27,$fot(equivalent(X_24,equivalent(X_24,X_23))))]]) ).
cnf(refute_0_199,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))))),bind(Y,$fot(equivalent(X_57,X_56)))]]) ).
cnf(refute_0_200,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) != true
| is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_201,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true) )],[refute_0_142,refute_0_200]) ).
cnf(refute_0_202,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55))),equivalent(X_57,X_56))),true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true),true) )],[refute_0_199,refute_0_201]) ).
cnf(refute_0_203,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) = ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_204,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) != ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true)
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) != true
| ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true))]]) ).
cnf(refute_0_205,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true) != true
| ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true),ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_56,equivalent(X_57,equivalent(X_55,X_55)))),true,is_a_theorem(equivalent(X_57,X_56)),true),true),true) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))),equivalent(X_73,equivalent(X_71,X_71)))),true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) = true,
inference(subst,[],[refute_0_206:[bind(X_55,$fot(X_71)),bind(X_56,$fot(equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),bind(X_57,$fot(X_73))]]) ).
cnf(refute_0_208,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_6,X_5)),equivalent(X_6,X_6))),equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) = true,
inference(subst,[],[refute_0_14:[bind(Y,$fot(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))),bind(X_7,$fot(X_6))]]) ).
cnf(refute_0_209,plain,
is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_6,X_5)),equivalent(X_6,X_6))),equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))) = true,
inference(subst,[],[refute_0_141:[bind(X_36,$fot(X_6)),bind(X_6,$fot(X_5)),bind(X_7,$fot(equivalent(X_6,equivalent(X_6,X_5))))]]) ).
cnf(refute_0_210,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_6,X_5)),equivalent(X_6,X_6))),equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_6,X_5)),equivalent(X_6,X_6))),equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_6,X_5)),equivalent(X_6,X_6))),equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_211,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_6,X_5)),equivalent(X_6,X_6))),equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_6,X_5)),equivalent(X_6,X_6))),equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))),true) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(X_6,equivalent(X_6,X_5)),equivalent(X_6,X_6))),equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true),true) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) = is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)))),bind(C,$fot(true))]]) ).
cnf(refute_0_214,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) != is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)))]]) ).
cnf(refute_0_215,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true),is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,X_5)),X_5)),true),true) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))),equivalent(X_73,equivalent(X_71,X_71)))) = true,
inference(subst,[],[refute_0_216:[bind(X_5,$fot(equivalent(X_73,equivalent(X_71,X_71))))]]) ).
cnf(refute_0_218,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))),equivalent(X_73,equivalent(X_71,X_71)))),true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))),equivalent(X_73,equivalent(X_71,X_71)))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))),equivalent(X_73,equivalent(X_71,X_71)))),true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_219,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))),equivalent(X_73,equivalent(X_71,X_71)))),true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))),equivalent(X_73,equivalent(X_71,X_71)))),true) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))),equivalent(X_73,equivalent(X_71,X_71)))),true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true),true) )],[refute_0_207,refute_0_219]) ).
cnf(refute_0_221,plain,
ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) = is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))))),bind(C,$fot(true))]]) ).
cnf(refute_0_222,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) != is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71))))))
| ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) != true
| is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true),true) ),[0],$fot(is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))))]]) ).
cnf(refute_0_223,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true) != true
| is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true),is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71))))))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_73,equivalent(X_6,equivalent(X_6,equivalent(X_73,equivalent(X_71,X_71)))))),true),true) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
is_a_theorem(equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_24,X_24)))))) = true,
inference(subst,[],[refute_0_224:[bind(X_6,$fot(X_23)),bind(X_71,$fot(X_24)),bind(X_73,$fot(equivalent(X_24,equivalent(X_24,X_23))))]]) ).
cnf(refute_0_226,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_24,X_24)))))),true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) != true
| is_a_theorem(equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_24,X_24)))))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_24,X_24)))))),true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_227,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_24,X_24)))))),true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_24,X_24)))))),true) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(X_24,equivalent(X_24,X_23)),equivalent(X_24,X_24)))))),true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true),true) )],[refute_0_198,refute_0_227]) ).
cnf(refute_0_229,plain,
ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) = is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))))),bind(C,$fot(true))]]) ).
cnf(refute_0_230,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) != is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23))))
| ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) != true
| is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true),true) ),[0],$fot(is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))))]]) ).
cnf(refute_0_231,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true) != true
| is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true),is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23))))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(X_24,equivalent(X_24,X_23)))),true),true) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
is_a_theorem(equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165)))) = true,
inference(subst,[],[refute_0_232:[bind(X_23,$fot(X_165)),bind(X_24,$fot(X_166))]]) ).
cnf(refute_0_234,plain,
( ifeq(is_a_theorem(equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165)))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_235,plain,
( ifeq(is_a_theorem(equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165)))),true) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165)))),true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true),true) )],[refute_0_188,refute_0_235]) ).
cnf(refute_0_237,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) = is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))))),bind(C,$fot(true))]]) ).
cnf(refute_0_238,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) != is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6)))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))))]]) ).
cnf(refute_0_239,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true) != true
| is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true),is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6)))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_6,equivalent(X_7,equivalent(X_165,equivalent(X_166,equivalent(X_166,X_165))))),equivalent(X_7,X_6))),true),true) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_435,equivalent(X_435,X_7))))),equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))) = true,
inference(subst,[],[refute_0_240:[bind(X_165,$fot(X_7)),bind(X_166,$fot(X_435)),bind(X_6,$fot(X_5)),bind(X_7,$fot(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5))))]]) ).
cnf(refute_0_242,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_435,equivalent(X_435,X_7))))),equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_435,equivalent(X_435,X_7))))),equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_435,equivalent(X_435,X_7))))),equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_243,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_435,equivalent(X_435,X_7))))),equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_435,equivalent(X_435,X_7))))),equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))),true) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_5,equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),equivalent(X_7,equivalent(X_435,equivalent(X_435,X_7))))),equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))),true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true),true) )],[refute_0_187,refute_0_243]) ).
cnf(refute_0_245,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) = is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)))),bind(C,$fot(true))]]) ).
cnf(refute_0_246,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) != is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)))]]) ).
cnf(refute_0_247,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true),is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_435,equivalent(X_435,X_7)),equivalent(X_7,X_5)),X_5)),true),true) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y)),Y)) = true,
inference(subst,[],[refute_0_248:[bind(X_435,$fot(X_438)),bind(X_5,$fot(Y)),bind(X_7,$fot(X_440))]]) ).
cnf(refute_0_250,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y)),Y)) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_251,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y)),Y)),true) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y)),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true),true) )],[refute_0_186,refute_0_251]) ).
cnf(refute_0_253,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_254,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true)
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true))]]) ).
cnf(refute_0_255,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,X_440)),equivalent(X_440,Y))),true,is_a_theorem(Y),true),true),true) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))),equivalent(equivalent(X_820,equivalent(X_820,X_819)),equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))),true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) = true,
inference(subst,[],[refute_0_256:[bind(Y,$fot(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819))))))),bind(X_440,$fot(equivalent(X_820,equivalent(X_820,X_819))))]]) ).
cnf(refute_0_258,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(X_812,equivalent(X_812,X_25)))))))),true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) = true,
inference(subst,[],[refute_0_197:[bind(X_24,$fot(equivalent(X_812,equivalent(X_812,X_25)))),bind(X_26,$fot(X_23)),bind(X_27,$fot(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23))))]]) ).
cnf(refute_0_259,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64)),true,is_a_theorem(Y),true),true) = true,
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64)))]]) ).
cnf(refute_0_260,plain,
is_a_theorem(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64)) = true,
inference(subst,[],[refute_0_216:[bind(X_5,$fot(X_64)),bind(X_6,$fot(X_65))]]) ).
cnf(refute_0_261,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64)),true,is_a_theorem(Y),true),true) != true
| is_a_theorem(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64)) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64)),true,is_a_theorem(Y),true),true),true) ),[0,2,0],$fot(true)]]) ).
cnf(refute_0_262,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64)),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64)),true) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64)),true,is_a_theorem(Y),true),true),true) )],[refute_0_259,refute_0_262]) ).
cnf(refute_0_264,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),
introduced(tautology,[refl,[$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true))]]) ).
cnf(refute_0_265,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)
| ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,is_a_theorem(Y),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) ),[1,2],$fot(is_a_theorem(Y))]]) ).
cnf(refute_0_266,plain,
( ifeq(true,true,is_a_theorem(Y),true) != is_a_theorem(Y)
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,is_a_theorem(Y),true) ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,is_a_theorem(Y),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(Y),true),is_a_theorem(Y)) )],[refute_0_7,refute_0_266]) ).
cnf(refute_0_268,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,is_a_theorem(Y),true)
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,is_a_theorem(Y),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,is_a_theorem(Y),true))]]) ).
cnf(refute_0_269,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,is_a_theorem(Y),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,is_a_theorem(Y),true)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,is_a_theorem(Y),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,X_64)),X_64),Y)),true,ifeq(true,true,is_a_theorem(Y),true),true),true) )],[refute_0_263,refute_0_269]) ).
cnf(refute_0_271,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))),equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))),equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))),true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) = true,
inference(subst,[],[refute_0_270:[bind(Y,$fot(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))),bind(X_64,$fot(equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))]]) ).
cnf(refute_0_272,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))),equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))),equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))) = true,
inference(subst,[],[refute_0_240:[bind(X_165,$fot(X_434)),bind(X_166,$fot(X_435)),bind(X_6,$fot(equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),bind(X_7,$fot(X_437))]]) ).
cnf(refute_0_273,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))),equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))),equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))),true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))),equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))),equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))),equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))),equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))),true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_274,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))),equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))),equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))),true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))),equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))),equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))),true) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))),equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))),equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))),true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true),true) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) = is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))))),bind(C,$fot(true))]]) ).
cnf(refute_0_277,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) != is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))
| ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) != true
| is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true),true) ),[0],$fot(is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))))]]) ).
cnf(refute_0_278,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true) != true
| is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true),is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434))))))))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_437,equivalent(X_65,equivalent(X_65,equivalent(X_437,equivalent(X_434,equivalent(X_435,equivalent(X_435,X_434)))))))),true),true) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(X_812,equivalent(X_812,X_25)))))))) = true,
inference(subst,[],[refute_0_279:[bind(X_434,$fot(X_25)),bind(X_435,$fot(X_812)),bind(X_437,$fot(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),bind(X_65,$fot(X_23))]]) ).
cnf(refute_0_281,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(X_812,equivalent(X_812,X_25)))))))),true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(X_812,equivalent(X_812,X_25)))))))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(X_812,equivalent(X_812,X_25)))))))),true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_282,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(X_812,equivalent(X_812,X_25)))))))),true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(X_812,equivalent(X_812,X_25)))))))),true) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_23,equivalent(X_23,equivalent(equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(X_812,equivalent(X_812,X_25)))))))),true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true),true) )],[refute_0_258,refute_0_282]) ).
cnf(refute_0_284,plain,
ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) = is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))))),bind(C,$fot(true))]]) ).
cnf(refute_0_285,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) != is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23))))
| ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) != true
| is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true),true) ),[0],$fot(is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))))]]) ).
cnf(refute_0_286,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true) != true
| is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true),is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23))))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_23,equivalent(equivalent(X_812,equivalent(X_812,X_25)),equivalent(X_25,X_23)))),true),true) )],[refute_0_283,refute_0_286]) ).
cnf(refute_0_288,plain,
is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))),equivalent(equivalent(X_820,equivalent(X_820,X_819)),equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))) = true,
inference(subst,[],[refute_0_287:[bind(X_23,$fot(equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),bind(X_25,$fot(X_819)),bind(X_812,$fot(X_820))]]) ).
cnf(refute_0_289,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))),equivalent(equivalent(X_820,equivalent(X_820,X_819)),equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))),true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) != true
| is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))),equivalent(equivalent(X_820,equivalent(X_820,X_819)),equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))),equivalent(equivalent(X_820,equivalent(X_820,X_819)),equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))),true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_290,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))),equivalent(equivalent(X_820,equivalent(X_820,X_819)),equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))),true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))),equivalent(equivalent(X_820,equivalent(X_820,X_819)),equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))),true) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))),equivalent(equivalent(X_820,equivalent(X_820,X_819)),equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))),true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true),true) )],[refute_0_257,refute_0_290]) ).
cnf(refute_0_292,plain,
ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) = is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))),bind(C,$fot(true))]]) ).
cnf(refute_0_293,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) != is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819))))))
| ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) != true
| is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true),true) ),[0],$fot(is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))))]]) ).
cnf(refute_0_294,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true) != true
| is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true),is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819))))))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_819,equivalent(X_438,equivalent(X_438,equivalent(X_820,equivalent(X_820,X_819)))))),true),true) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
is_a_theorem(equivalent(equivalent(X_1732,equivalent(X_1733,X_1732)),equivalent(X_1733,equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))) = true,
inference(subst,[],[refute_0_295:[bind(X_438,$fot(X_1733)),bind(X_819,$fot(equivalent(X_1732,equivalent(X_1733,X_1732))))]]) ).
cnf(refute_0_297,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_1732,equivalent(X_1733,X_1732)),equivalent(X_1733,equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))),true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) != true
| is_a_theorem(equivalent(equivalent(X_1732,equivalent(X_1733,X_1732)),equivalent(X_1733,equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_1732,equivalent(X_1733,X_1732)),equivalent(X_1733,equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))),true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_298,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_1732,equivalent(X_1733,X_1732)),equivalent(X_1733,equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))),true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_1732,equivalent(X_1733,X_1732)),equivalent(X_1733,equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))),true) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_1732,equivalent(X_1733,X_1732)),equivalent(X_1733,equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))),true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true),true) )],[refute_0_185,refute_0_298]) ).
cnf(refute_0_300,plain,
ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) = is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))),bind(C,$fot(true))]]) ).
cnf(refute_0_301,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) != is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732))))))
| ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) != true
| is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true),true) ),[0],$fot(is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))))]]) ).
cnf(refute_0_302,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true) != true
| is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true),is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732))))))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_1733,equivalent(X_820,equivalent(X_820,equivalent(X_1732,equivalent(X_1733,X_1732)))))),true),true) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
is_a_theorem(equivalent(X_1997,equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(X_1996,equivalent(X_1997,X_1996)))))) = true,
inference(subst,[],[refute_0_303:[bind(X_1732,$fot(X_1996)),bind(X_1733,$fot(X_1997)),bind(X_820,$fot(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994)))))]]) ).
cnf(refute_0_305,plain,
( ifeq(is_a_theorem(equivalent(X_1997,equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(X_1996,equivalent(X_1997,X_1996)))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) != true
| is_a_theorem(equivalent(X_1997,equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(X_1996,equivalent(X_1997,X_1996)))))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_1997,equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(X_1996,equivalent(X_1997,X_1996)))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_306,plain,
( ifeq(is_a_theorem(equivalent(X_1997,equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(X_1996,equivalent(X_1997,X_1996)))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(X_1997,equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(X_1996,equivalent(X_1997,X_1996)))))),true) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(X_1997,equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),equivalent(X_1996,equivalent(X_1997,X_1996)))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true),true) )],[refute_0_158,refute_0_306]) ).
cnf(refute_0_308,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) = is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)))),bind(C,$fot(true))]]) ).
cnf(refute_0_309,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) != is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)))]]) ).
cnf(refute_0_310,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true),is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_1997,X_1996),equivalent(X_1996,equivalent(X_1994,X_1994))),X_1997)),true),true) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
is_a_theorem(equivalent(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004))),Y)) = true,
inference(subst,[],[refute_0_311:[bind(X_1994,$fot(X_2004)),bind(X_1996,$fot(X_2005)),bind(X_1997,$fot(Y))]]) ).
cnf(refute_0_313,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004))),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004))),Y)) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004))),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_314,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004))),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004))),Y)),true) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004))),Y)),true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true),true) )],[refute_0_131,refute_0_314]) ).
cnf(refute_0_316,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) = ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_317,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) != ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true)
| ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true))]]) ).
cnf(refute_0_318,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true) != true
| ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true),ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(Y,X_2005),equivalent(X_2005,equivalent(X_2004,X_2004)))),true,is_a_theorem(Y),true),true),true) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909))),equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909)),equivalent(X_2004,X_2004)))),true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) = true,
inference(subst,[],[refute_0_319:[bind(Y,$fot(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)))),bind(X_2005,$fot(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909))))]]) ).
cnf(refute_0_321,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(X_23,equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)))))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) = true,
inference(subst,[],[refute_0_197:[bind(X_24,$fot(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)))),bind(X_26,$fot(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)))),bind(X_27,$fot(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23))))]]) ).
cnf(refute_0_322,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) = true,
inference(subst,[],[refute_0_197:[bind(X_23,$fot(X_50)),bind(X_24,$fot(X_51)),bind(X_25,$fot(X_52)),bind(X_26,$fot(X_53)),bind(X_27,$fot(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51))))))))]]) ).
cnf(refute_0_323,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))) = true,
inference(subst,[],[refute_0_40:[bind(X_5,$fot(equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51))))))]]) ).
cnf(refute_0_324,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))) != true
| ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_325,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),true) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))),true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true),true) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) = is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))))),bind(C,$fot(true))]]) ).
cnf(refute_0_328,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) != is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51))))))))
| ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) != true
| is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true),true) ),[0],$fot(is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))))]]) ).
cnf(refute_0_329,plain,
( ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true) != true
| is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true),is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51))))))))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(X_53,equivalent(equivalent(equivalent(X_24,equivalent(X_25,X_7)),equivalent(X_25,X_24)),equivalent(X_7,equivalent(X_53,equivalent(X_50,equivalent(equivalent(X_51,equivalent(X_52,X_50)),equivalent(X_52,X_51)))))))),true),true) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(X_23,equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)))))))) = true,
inference(subst,[],[refute_0_330:[bind(X_24,$fot(X_872)),bind(X_25,$fot(X_873)),bind(X_50,$fot(X_25)),bind(X_51,$fot(X_875)),bind(X_52,$fot(X_876)),bind(X_53,$fot(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),bind(X_7,$fot(X_23))]]) ).
cnf(refute_0_332,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(X_23,equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)))))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(X_23,equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)))))))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(X_23,equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)))))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_333,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(X_23,equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)))))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(X_23,equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)))))))),true) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(X_23,equivalent(equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)),equivalent(X_25,equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)))))))),true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true),true) )],[refute_0_321,refute_0_333]) ).
cnf(refute_0_335,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) = is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))))),bind(C,$fot(true))]]) ).
cnf(refute_0_336,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) != is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23))))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))))]]) ).
cnf(refute_0_337,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true),is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23))))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_873,X_23)),equivalent(X_873,X_872)),equivalent(equivalent(equivalent(X_875,equivalent(X_876,X_25)),equivalent(X_876,X_875)),equivalent(X_25,X_23)))),true),true) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909))),equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909)),equivalent(X_2004,X_2004)))) = true,
inference(subst,[],[refute_0_338:[bind(X_23,$fot(X_2004)),bind(X_25,$fot(X_2004)),bind(X_872,$fot(equivalent(X_2910,X_2909))),bind(X_873,$fot(equivalent(X_2909,equivalent(X_2910,X_2004)))),bind(X_875,$fot(X_2909)),bind(X_876,$fot(X_2910))]]) ).
cnf(refute_0_340,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909))),equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909)),equivalent(X_2004,X_2004)))),true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909))),equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909)),equivalent(X_2004,X_2004)))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909))),equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909)),equivalent(X_2004,X_2004)))),true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_341,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909))),equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909)),equivalent(X_2004,X_2004)))),true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909))),equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909)),equivalent(X_2004,X_2004)))),true) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909))),equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),equivalent(X_2910,X_2909)),equivalent(X_2004,X_2004)))),true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true),true) )],[refute_0_320,refute_0_341]) ).
cnf(refute_0_343,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) = is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))))),bind(C,$fot(true))]]) ).
cnf(refute_0_344,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) != is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) != true
| is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))))]]) ).
cnf(refute_0_345,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) != true
| is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true),is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004)))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true),true) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
is_a_theorem(equivalent(equivalent(X_2913,X_2912),equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911))) = true,
inference(subst,[],[refute_0_346:[bind(X_2004,$fot(X_2911)),bind(X_2909,$fot(X_2912)),bind(X_2910,$fot(X_2913))]]) ).
cnf(refute_0_348,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_2913,X_2912),equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911))),true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) != true
| is_a_theorem(equivalent(equivalent(X_2913,X_2912),equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911))) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_2913,X_2912),equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911))),true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_349,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_2913,X_2912),equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911))),true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) != true
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_2913,X_2912),equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911))),true) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_2913,X_2912),equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911))),true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true),true) )],[refute_0_130,refute_0_349]) ).
cnf(refute_0_351,plain,
ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) = ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_352,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) != ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true)
| ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) != true
| ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true),true) ),[0],$fot(ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true))]]) ).
cnf(refute_0_353,plain,
( ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true) != true
| ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true),ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(is_a_theorem(equivalent(X_2913,X_2912)),true,is_a_theorem(equivalent(equivalent(X_2912,equivalent(X_2913,X_2911)),X_2911)),true),true),true) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
ifeq(is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) = true,
inference(subst,[],[refute_0_354:[bind(X_2911,$fot(X_2920)),bind(X_2912,$fot(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),bind(X_2913,$fot(equivalent(X_2910,X_2909)))]]) ).
cnf(refute_0_356,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) != true
| is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_357,plain,
( ifeq(is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true) )],[refute_0_346,refute_0_356]) ).
cnf(refute_0_358,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(X_2910,X_2909),equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004))),true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true),true) )],[refute_0_355,refute_0_357]) ).
cnf(refute_0_359,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)))),bind(C,$fot(true))]]) ).
cnf(refute_0_360,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) != is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)))]]) ).
cnf(refute_0_361,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true),is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2909,equivalent(X_2910,X_2004)),X_2004),equivalent(equivalent(X_2910,X_2909),X_2920)),X_2920)),true),true) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(equivalent(X_3121,X_3120),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))) = true,
inference(subst,[],[refute_0_362:[bind(X_2004,$fot(X_3119)),bind(X_2909,$fot(X_3120)),bind(X_2910,$fot(X_3121)),bind(X_2920,$fot(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))))]]) ).
cnf(refute_0_364,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(equivalent(X_3121,X_3120),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(equivalent(X_3121,X_3120),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(equivalent(X_3121,X_3120),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_365,plain,
( ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(equivalent(X_3121,X_3120),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) != true
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(equivalent(X_3121,X_3120),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),true) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(equivalent(X_3121,X_3120),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))),true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true),true) )],[refute_0_129,refute_0_365]) ).
cnf(refute_0_367,plain,
ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) = is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))))),bind(C,$fot(true))]]) ).
cnf(refute_0_368,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) != is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))
| ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true),true) ),[0],$fot(is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))))]]) ).
cnf(refute_0_369,plain,
( ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true) != true
| is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true),is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120)))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X_3120,equivalent(X_3121,X_3119)),X_3119),equivalent(X_3121,X_3120))),true),true) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))) = true,
inference(subst,[],[refute_0_370:[bind(X_3119,$fot(c)),bind(X_3120,$fot(a)),bind(X_3121,$fot(b))]]) ).
cnf(refute_0_372,plain,
( is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))) != true
| true != true
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))) = true ),
introduced(tautology,[equality,[$cnf( ~ $equal(is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))),true) ),[0],$fot(true)]]) ).
cnf(refute_0_373,plain,
( true != true
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))) = true ),
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))),true) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
true != true,
inference(resolve,[$cnf( $equal(is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))),true) )],[refute_0_373,prove_pyo]) ).
cnf(refute_0_375,plain,
true = true,
introduced(tautology,[refl,[$fot(true)]]) ).
cnf(refute_0_376,plain,
$false,
inference(resolve,[$cnf( $equal(true,true) )],[refute_0_375,refute_0_374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL024-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 15:36:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 187.25/187.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.25/187.55
% 187.25/187.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 187.33/187.62
%------------------------------------------------------------------------------