TSTP Solution File: LAT394-2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT394-2 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 06:03:56 EDT 2022
% Result : Unsatisfiable 1.07s 1.30s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 89
% Syntax : Number of clauses : 315 ( 157 unt; 0 nHn; 153 RR)
% Number of literals : 546 ( 545 equ; 233 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 836 ( 63 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos,axiom,
f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) = B ).
cnf(goals,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)) ).
cnf(refute_0_0,plain,
f(f(f(f(f(X_0,X_1),f(X_1,X_2)),f(f(X_1,X_2),C)),f(X_1,f(f(X_1,f(f(X_0,X_0),X_0)),X_2))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),C))) = f(X_1,X_2),
inference(subst,[],[sos:[bind(A,$fot(f(X_0,X_1))),bind(B,$fot(f(X_1,X_2))),bind(D,$fot(f(X_1,f(f(X_1,f(f(X_0,X_0),X_0)),X_2))))]]) ).
cnf(refute_0_1,plain,
f(f(f(f(X_0,X_1),f(X_1,X_2)),f(f(X_1,X_2),C)),f(X_1,f(f(X_1,f(f(X_0,X_0),X_0)),X_2))) = X_1,
inference(subst,[],[sos:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(X_2)),bind(D,$fot(f(f(X_1,X_2),C)))]]) ).
cnf(refute_0_2,plain,
( f(f(f(f(X_0,X_1),f(X_1,X_2)),f(f(X_1,X_2),C)),f(X_1,f(f(X_1,f(f(X_0,X_0),X_0)),X_2))) != X_1
| f(f(f(f(f(X_0,X_1),f(X_1,X_2)),f(f(X_1,X_2),C)),f(X_1,f(f(X_1,f(f(X_0,X_0),X_0)),X_2))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),C))) != f(X_1,X_2)
| f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),C))) = f(X_1,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(f(X_0,X_1),f(X_1,X_2)),f(f(X_1,X_2),C)),f(X_1,f(f(X_1,f(f(X_0,X_0),X_0)),X_2))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),C))),f(X_1,X_2)) ),[0,0],$fot(X_1)]]) ).
cnf(refute_0_3,plain,
( f(f(f(f(f(X_0,X_1),f(X_1,X_2)),f(f(X_1,X_2),C)),f(X_1,f(f(X_1,f(f(X_0,X_0),X_0)),X_2))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),C))) != f(X_1,X_2)
| f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),C))) = f(X_1,X_2) ),
inference(resolve,[$cnf( $equal(f(f(f(f(X_0,X_1),f(X_1,X_2)),f(f(X_1,X_2),C)),f(X_1,f(f(X_1,f(f(X_0,X_0),X_0)),X_2))),X_1) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),C))) = f(X_1,X_2),
inference(resolve,[$cnf( $equal(f(f(f(f(f(X_0,X_1),f(X_1,X_2)),f(f(X_1,X_2),C)),f(X_1,f(f(X_1,f(f(X_0,X_0),X_0)),X_2))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),C))),f(X_1,X_2)) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(X_5,f(X_1,X_2)),f(X_5,f(X_1,X_2))),f(X_5,f(X_1,X_2)))),X_4)))) = f(X_1,X_2),
inference(subst,[],[refute_0_4:[bind(C,$fot(f(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(X_5,f(X_1,X_2)),f(X_5,f(X_1,X_2))),f(X_5,f(X_1,X_2)))),X_4)))]]) ).
cnf(refute_0_6,plain,
f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(X_5,f(X_1,X_2)),f(X_5,f(X_1,X_2))),f(X_5,f(X_1,X_2)))),X_4))) = f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),
inference(subst,[],[refute_0_4:[bind(C,$fot(X_4)),bind(X_0,$fot(X_5)),bind(X_1,$fot(f(X_1,X_2))),bind(X_2,$fot(f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))))]]) ).
cnf(refute_0_7,plain,
( f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(X_5,f(X_1,X_2)),f(X_5,f(X_1,X_2))),f(X_5,f(X_1,X_2)))),X_4)))) != f(X_1,X_2)
| f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(X_5,f(X_1,X_2)),f(X_5,f(X_1,X_2))),f(X_5,f(X_1,X_2)))),X_4))) != f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1)))
| f(X_1,f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1)))) = f(X_1,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(X_5,f(X_1,X_2)),f(X_5,f(X_1,X_2))),f(X_5,f(X_1,X_2)))),X_4)))),f(X_1,X_2)) ),[0,1],$fot(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))))]]) ).
cnf(refute_0_8,plain,
( f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(X_5,f(X_1,X_2)),f(X_5,f(X_1,X_2))),f(X_5,f(X_1,X_2)))),X_4)))) != f(X_1,X_2)
| f(X_1,f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1)))) = f(X_1,X_2) ),
inference(resolve,[$cnf( $equal(f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(X_5,f(X_1,X_2)),f(X_5,f(X_1,X_2))),f(X_5,f(X_1,X_2)))),X_4))),f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1)))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
f(X_1,f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1)))) = f(X_1,X_2),
inference(resolve,[$cnf( $equal(f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(f(X_5,f(X_1,X_2)),f(X_5,f(X_1,X_2))),f(X_5,f(X_1,X_2)))),X_4)))),f(X_1,X_2)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
f(f(X_14,X_15),f(f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))),f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) = f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))),
inference(subst,[],[refute_0_9:[bind(X_1,$fot(f(X_14,X_15))),bind(X_2,$fot(f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))))]]) ).
cnf(refute_0_11,plain,
f(f(f(f(f(f(X_0,B),f(B,X_2)),B),f(B,f(f(B,f(f(X_0,X_0),X_0)),X_2))),D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) = B,
inference(subst,[],[sos:[bind(A,$fot(f(f(X_0,B),f(B,X_2)))),bind(C,$fot(f(f(B,f(f(X_0,X_0),X_0)),X_2)))]]) ).
cnf(refute_0_12,plain,
f(f(f(f(X_0,B),f(B,X_2)),B),f(B,f(f(B,f(f(X_0,X_0),X_0)),X_2))) = B,
inference(subst,[],[sos:[bind(A,$fot(X_0)),bind(C,$fot(X_2)),bind(D,$fot(B))]]) ).
cnf(refute_0_13,plain,
( f(f(f(f(X_0,B),f(B,X_2)),B),f(B,f(f(B,f(f(X_0,X_0),X_0)),X_2))) != B
| f(f(f(f(f(f(X_0,B),f(B,X_2)),B),f(B,f(f(B,f(f(X_0,X_0),X_0)),X_2))),D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) != B
| f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(f(f(X_0,B),f(B,X_2)),B),f(B,f(f(B,f(f(X_0,X_0),X_0)),X_2))),D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_14,plain,
( f(f(f(f(f(f(X_0,B),f(B,X_2)),B),f(B,f(f(B,f(f(X_0,X_0),X_0)),X_2))),D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) != B
| f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) = B ),
inference(resolve,[$cnf( $equal(f(f(f(f(X_0,B),f(B,X_2)),B),f(B,f(f(B,f(f(X_0,X_0),X_0)),X_2))),B) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) = B,
inference(resolve,[$cnf( $equal(f(f(f(f(f(f(X_0,B),f(B,X_2)),B),f(B,f(f(B,f(f(X_0,X_0),X_0)),X_2))),D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))) = X_14,
inference(subst,[],[refute_0_15:[bind(B,$fot(X_14)),bind(D,$fot(X_15)),bind(X_0,$fot(X_16)),bind(X_2,$fot(X_17))]]) ).
cnf(refute_0_17,plain,
( f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))) != X_14
| f(f(X_14,X_15),f(f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))),f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) != f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17))))
| f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) = f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_14,X_15),f(f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))),f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))),f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17))))) ),[0,1,0],$fot(X_14)]]) ).
cnf(refute_0_18,plain,
( f(f(X_14,X_15),f(f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))),f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) != f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17))))
| f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) = f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))) ),
inference(resolve,[$cnf( $equal(f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))),X_14) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) = f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))),
inference(resolve,[$cnf( $equal(f(f(X_14,X_15),f(f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))),f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))),f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17))))) )],[refute_0_10,refute_0_18]) ).
cnf(refute_0_20,plain,
( f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))) != X_14
| f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) != f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17))))
| f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))),f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17))))) ),[1],$fot(X_14)]]) ).
cnf(refute_0_21,plain,
( f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) != f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17))))
| f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) = X_14 ),
inference(resolve,[$cnf( $equal(f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17)))),X_14) )],[refute_0_16,refute_0_20]) ).
cnf(refute_0_22,plain,
f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))) = X_14,
inference(resolve,[$cnf( $equal(f(f(X_14,X_15),f(X_14,f(f(f(X_0,f(X_14,X_15)),f(X_0,f(X_14,X_15))),f(X_0,f(X_14,X_15))))),f(f(X_14,X_15),f(X_14,f(f(X_14,f(f(f(f(X_16,X_14),f(X_14,X_17)),f(f(X_16,X_14),f(X_14,X_17))),f(f(X_16,X_14),f(X_14,X_17)))),f(f(X_14,f(f(X_16,X_16),X_16)),X_17))))) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,f(X_56,f(X_55,X_55)))))) = X_56,
inference(subst,[],[refute_0_22:[bind(X_0,$fot(X_55)),bind(X_14,$fot(X_56)),bind(X_15,$fot(f(X_55,X_55)))]]) ).
cnf(refute_0_24,plain,
f(f(A,B),f(f(f(A,B),f(B,C)),f(f(f(f(A,B),f(B,C)),f(f(f(X_5,f(A,B)),f(X_5,f(A,B))),f(X_5,f(A,B)))),f(B,f(f(B,f(f(A,A),A)),C))))) = f(f(A,B),f(B,C)),
inference(subst,[],[refute_0_4:[bind(C,$fot(f(B,f(f(B,f(f(A,A),A)),C)))),bind(X_0,$fot(X_5)),bind(X_1,$fot(f(A,B))),bind(X_2,$fot(f(B,C)))]]) ).
cnf(refute_0_25,plain,
f(f(f(f(A,B),f(B,C)),f(f(f(X_5,f(A,B)),f(X_5,f(A,B))),f(X_5,f(A,B)))),f(B,f(f(B,f(f(A,A),A)),C))) = B,
inference(subst,[],[sos:[bind(D,$fot(f(f(f(X_5,f(A,B)),f(X_5,f(A,B))),f(X_5,f(A,B)))))]]) ).
cnf(refute_0_26,plain,
( f(f(A,B),f(f(f(A,B),f(B,C)),f(f(f(f(A,B),f(B,C)),f(f(f(X_5,f(A,B)),f(X_5,f(A,B))),f(X_5,f(A,B)))),f(B,f(f(B,f(f(A,A),A)),C))))) != f(f(A,B),f(B,C))
| f(f(f(f(A,B),f(B,C)),f(f(f(X_5,f(A,B)),f(X_5,f(A,B))),f(X_5,f(A,B)))),f(B,f(f(B,f(f(A,A),A)),C))) != B
| f(f(A,B),f(f(f(A,B),f(B,C)),B)) = f(f(A,B),f(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(A,B),f(f(f(A,B),f(B,C)),f(f(f(f(A,B),f(B,C)),f(f(f(X_5,f(A,B)),f(X_5,f(A,B))),f(X_5,f(A,B)))),f(B,f(f(B,f(f(A,A),A)),C))))),f(f(A,B),f(B,C))) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_27,plain,
( f(f(A,B),f(f(f(A,B),f(B,C)),f(f(f(f(A,B),f(B,C)),f(f(f(X_5,f(A,B)),f(X_5,f(A,B))),f(X_5,f(A,B)))),f(B,f(f(B,f(f(A,A),A)),C))))) != f(f(A,B),f(B,C))
| f(f(A,B),f(f(f(A,B),f(B,C)),B)) = f(f(A,B),f(B,C)) ),
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),f(f(f(X_5,f(A,B)),f(X_5,f(A,B))),f(X_5,f(A,B)))),f(B,f(f(B,f(f(A,A),A)),C))),B) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
f(f(A,B),f(f(f(A,B),f(B,C)),B)) = f(f(A,B),f(B,C)),
inference(resolve,[$cnf( $equal(f(f(A,B),f(f(f(A,B),f(B,C)),f(f(f(f(A,B),f(B,C)),f(f(f(X_5,f(A,B)),f(X_5,f(A,B))),f(X_5,f(A,B)))),f(B,f(f(B,f(f(A,A),A)),C))))),f(f(A,B),f(B,C))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
f(f(f(f(B,B),X_23),B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = f(f(f(f(B,B),X_23),B),f(B,C)),
inference(subst,[],[refute_0_28:[bind(A,$fot(f(f(B,B),X_23)))]]) ).
cnf(refute_0_30,plain,
f(f(B,B),f(f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))),B)) = f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))),
inference(subst,[],[refute_0_28:[bind(A,$fot(B)),bind(C,$fot(f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17))))]]) ).
cnf(refute_0_31,plain,
f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))) = B,
inference(subst,[],[refute_0_15:[bind(D,$fot(B)),bind(X_0,$fot(X_16)),bind(X_2,$fot(X_17))]]) ).
cnf(refute_0_32,plain,
( f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))) != B
| f(f(B,B),f(f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))),B)) != f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17))))
| f(f(B,B),f(B,B)) = f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(B,B),f(f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))),B)),f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17))))) ),[0,1,0],$fot(B)]]) ).
cnf(refute_0_33,plain,
( f(f(B,B),f(f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))),B)) != f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17))))
| f(f(B,B),f(B,B)) = f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))) ),
inference(resolve,[$cnf( $equal(f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))),B) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
f(f(B,B),f(B,B)) = f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))),
inference(resolve,[$cnf( $equal(f(f(B,B),f(f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))),B)),f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17))))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
( f(f(B,B),f(B,B)) != f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17))))
| f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))) != B
| f(f(B,B),f(B,B)) = B ),
introduced(tautology,[equality,[$cnf( ~ $equal(f(f(B,B),f(B,B)),B) ),[0],$fot(f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))))]]) ).
cnf(refute_0_36,plain,
( f(f(B,B),f(B,B)) != f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17))))
| f(f(B,B),f(B,B)) = B ),
inference(resolve,[$cnf( $equal(f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17)))),B) )],[refute_0_31,refute_0_35]) ).
cnf(refute_0_37,plain,
f(f(B,B),f(B,B)) = B,
inference(resolve,[$cnf( $equal(f(f(B,B),f(B,B)),f(f(B,B),f(B,f(f(B,f(f(f(f(X_16,B),f(B,X_17)),f(f(X_16,B),f(B,X_17))),f(f(X_16,B),f(B,X_17)))),f(f(B,f(f(X_16,X_16),X_16)),X_17))))) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))))) = f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),
inference(subst,[],[refute_0_37:[bind(B,$fot(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))))]]) ).
cnf(refute_0_39,plain,
f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) = B,
inference(subst,[],[refute_0_15:[bind(D,$fot(f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))))]]) ).
cnf(refute_0_40,plain,
( f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) != B
| f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))))) != f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))
| f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) = f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_41,plain,
( f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))))) != f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))
| f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) = f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))) ),
inference(resolve,[$cnf( $equal(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) = f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),
inference(resolve,[$cnf( $equal(f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) = f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B),
introduced(tautology,[refl,[$fot(f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B))]]) ).
cnf(refute_0_44,plain,
( f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) != B
| f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) != f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B)
| f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) = f(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B),f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B)) ),[1,0],$fot(B)]]) ).
cnf(refute_0_45,plain,
( f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) != B
| f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) = f(B,B) ),
inference(resolve,[$cnf( $equal(f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B),f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) = f(B,B),
inference(resolve,[$cnf( $equal(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) )],[refute_0_39,refute_0_45]) ).
cnf(refute_0_47,plain,
( f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) != f(B,B)
| f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) != f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))
| f(B,B) = f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) ),[0],$fot(f(B,B))]]) ).
cnf(refute_0_48,plain,
( f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) != f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))
| f(B,B) = f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))) ),
inference(resolve,[$cnf( $equal(f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B),f(B,B)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
f(B,B) = f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),
inference(resolve,[$cnf( $equal(f(f(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) )],[refute_0_42,refute_0_48]) ).
cnf(refute_0_50,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_51,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_52,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( f(B,B) != f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))
| f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))) = f(B,B) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(f(B,B))),bind(Y,$fot(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))))]]) ).
cnf(refute_0_54,plain,
f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))) = f(B,B),
inference(resolve,[$cnf( $equal(f(B,B),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) )],[refute_0_49,refute_0_53]) ).
cnf(refute_0_55,plain,
f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) = f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),
introduced(tautology,[refl,[$fot(f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))))]]) ).
cnf(refute_0_56,plain,
( f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))) != f(B,B)
| f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) != f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))))
| f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) = f(f(B,D),f(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))))) ),[1,1],$fot(f(B,B))]]) ).
cnf(refute_0_57,plain,
( f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))) != f(B,B)
| f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) = f(f(B,D),f(B,B)) ),
inference(resolve,[$cnf( $equal(f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) = f(f(B,D),f(B,B)),
inference(resolve,[$cnf( $equal(f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2))),f(B,B)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
( f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) != B
| f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) != f(f(B,D),f(B,B))
| f(f(B,D),f(B,B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) ),[0],$fot(f(f(B,D),f(B,B)))]]) ).
cnf(refute_0_60,plain,
( f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))) != B
| f(f(B,D),f(B,B)) = B ),
inference(resolve,[$cnf( $equal(f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),f(f(B,D),f(B,B))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
f(f(B,D),f(B,B)) = B,
inference(resolve,[$cnf( $equal(f(f(B,D),f(B,f(f(B,f(f(f(f(X_0,B),f(B,X_2)),f(f(X_0,B),f(B,X_2))),f(f(X_0,B),f(B,X_2)))),f(f(B,f(f(X_0,X_0),X_0)),X_2)))),B) )],[refute_0_15,refute_0_60]) ).
cnf(refute_0_62,plain,
f(f(f(X_22,X_22),D),f(f(X_22,X_22),f(X_22,X_22))) = f(X_22,X_22),
inference(subst,[],[refute_0_61:[bind(B,$fot(f(X_22,X_22)))]]) ).
cnf(refute_0_63,plain,
f(f(X_22,X_22),f(X_22,X_22)) = X_22,
inference(subst,[],[refute_0_61:[bind(B,$fot(X_22)),bind(D,$fot(X_22))]]) ).
cnf(refute_0_64,plain,
( f(f(X_22,X_22),f(X_22,X_22)) != X_22
| f(f(f(X_22,X_22),D),f(f(X_22,X_22),f(X_22,X_22))) != f(X_22,X_22)
| f(f(f(X_22,X_22),D),X_22) = f(X_22,X_22) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(X_22,X_22),D),f(f(X_22,X_22),f(X_22,X_22))),f(X_22,X_22)) ),[0,1],$fot(X_22)]]) ).
cnf(refute_0_65,plain,
( f(f(f(X_22,X_22),D),f(f(X_22,X_22),f(X_22,X_22))) != f(X_22,X_22)
| f(f(f(X_22,X_22),D),X_22) = f(X_22,X_22) ),
inference(resolve,[$cnf( $equal(f(f(X_22,X_22),f(X_22,X_22)),X_22) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
f(f(f(X_22,X_22),D),X_22) = f(X_22,X_22),
inference(resolve,[$cnf( $equal(f(f(f(X_22,X_22),D),f(f(X_22,X_22),f(X_22,X_22))),f(X_22,X_22)) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
f(f(f(B,B),X_23),B) = f(B,B),
inference(subst,[],[refute_0_66:[bind(D,$fot(X_23)),bind(X_22,$fot(B))]]) ).
cnf(refute_0_68,plain,
( f(f(f(B,B),X_23),B) != f(B,B)
| f(f(f(f(B,B),X_23),B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) != f(f(f(f(B,B),X_23),B),f(B,C))
| f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = f(f(f(f(B,B),X_23),B),f(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(B,B),X_23),B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)),f(f(f(f(B,B),X_23),B),f(B,C))) ),[0,0],$fot(f(B,B))]]) ).
cnf(refute_0_69,plain,
( f(f(f(f(B,B),X_23),B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) != f(f(f(f(B,B),X_23),B),f(B,C))
| f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = f(f(f(f(B,B),X_23),B),f(B,C)) ),
inference(resolve,[$cnf( $equal(f(f(f(B,B),X_23),B),f(B,B)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = f(f(f(f(B,B),X_23),B),f(B,C)),
inference(resolve,[$cnf( $equal(f(f(f(f(B,B),X_23),B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)),f(f(f(f(B,B),X_23),B),f(B,C))) )],[refute_0_29,refute_0_69]) ).
cnf(refute_0_71,plain,
f(f(f(B,B),f(B,C)),B) = f(B,B),
inference(subst,[],[refute_0_66:[bind(D,$fot(f(B,C))),bind(X_22,$fot(B))]]) ).
cnf(refute_0_72,plain,
f(f(f(f(B,B),X_23),B),f(B,C)) = f(f(f(f(B,B),X_23),B),f(B,C)),
introduced(tautology,[refl,[$fot(f(f(f(f(B,B),X_23),B),f(B,C)))]]) ).
cnf(refute_0_73,plain,
( f(f(f(B,B),X_23),B) != f(B,B)
| f(f(f(f(B,B),X_23),B),f(B,C)) != f(f(f(f(B,B),X_23),B),f(B,C))
| f(f(f(f(B,B),X_23),B),f(B,C)) = f(f(B,B),f(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(B,B),X_23),B),f(B,C)),f(f(f(f(B,B),X_23),B),f(B,C))) ),[1,0],$fot(f(B,B))]]) ).
cnf(refute_0_74,plain,
( f(f(f(B,B),X_23),B) != f(B,B)
| f(f(f(f(B,B),X_23),B),f(B,C)) = f(f(B,B),f(B,C)) ),
inference(resolve,[$cnf( $equal(f(f(f(f(B,B),X_23),B),f(B,C)),f(f(f(f(B,B),X_23),B),f(B,C))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
f(f(f(f(B,B),X_23),B),f(B,C)) = f(f(B,B),f(B,C)),
inference(resolve,[$cnf( $equal(f(f(f(B,B),X_23),B),f(B,B)) )],[refute_0_67,refute_0_74]) ).
cnf(refute_0_76,plain,
f(f(f(f(f(B,B),X_23),B),f(B,C)),B) = f(f(f(f(f(B,B),X_23),B),f(B,C)),B),
introduced(tautology,[refl,[$fot(f(f(f(f(f(B,B),X_23),B),f(B,C)),B))]]) ).
cnf(refute_0_77,plain,
( f(f(f(f(B,B),X_23),B),f(B,C)) != f(f(B,B),f(B,C))
| f(f(f(f(f(B,B),X_23),B),f(B,C)),B) != f(f(f(f(f(B,B),X_23),B),f(B,C)),B)
| f(f(f(f(f(B,B),X_23),B),f(B,C)),B) = f(f(f(B,B),f(B,C)),B) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(f(B,B),X_23),B),f(B,C)),B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) ),[1,0],$fot(f(f(B,B),f(B,C)))]]) ).
cnf(refute_0_78,plain,
( f(f(f(f(B,B),X_23),B),f(B,C)) != f(f(B,B),f(B,C))
| f(f(f(f(f(B,B),X_23),B),f(B,C)),B) = f(f(f(B,B),f(B,C)),B) ),
inference(resolve,[$cnf( $equal(f(f(f(f(f(B,B),X_23),B),f(B,C)),B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
f(f(f(f(f(B,B),X_23),B),f(B,C)),B) = f(f(f(B,B),f(B,C)),B),
inference(resolve,[$cnf( $equal(f(f(f(f(B,B),X_23),B),f(B,C)),f(f(B,B),f(B,C))) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_81,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_52,refute_0_80]) ).
cnf(refute_0_82,plain,
( f(f(f(B,B),f(B,C)),B) != f(B,B)
| f(f(f(f(f(B,B),X_23),B),f(B,C)),B) != f(f(f(B,B),f(B,C)),B)
| f(f(f(f(f(B,B),X_23),B),f(B,C)),B) = f(B,B) ),
inference(subst,[],[refute_0_81:[bind(X,$fot(f(f(f(f(f(B,B),X_23),B),f(B,C)),B))),bind(Y,$fot(f(f(f(B,B),f(B,C)),B))),bind(Z,$fot(f(B,B)))]]) ).
cnf(refute_0_83,plain,
( f(f(f(B,B),f(B,C)),B) != f(B,B)
| f(f(f(f(f(B,B),X_23),B),f(B,C)),B) = f(B,B) ),
inference(resolve,[$cnf( $equal(f(f(f(f(f(B,B),X_23),B),f(B,C)),B),f(f(f(B,B),f(B,C)),B)) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
f(f(f(f(f(B,B),X_23),B),f(B,C)),B) = f(B,B),
inference(resolve,[$cnf( $equal(f(f(f(B,B),f(B,C)),B),f(B,B)) )],[refute_0_71,refute_0_83]) ).
cnf(refute_0_85,plain,
f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)),
introduced(tautology,[refl,[$fot(f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)))]]) ).
cnf(refute_0_86,plain,
( f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) != f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B))
| f(f(f(f(f(B,B),X_23),B),f(B,C)),B) != f(B,B)
| f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = f(f(B,B),f(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)),f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B))) ),[1,1],$fot(f(B,B))]]) ).
cnf(refute_0_87,plain,
( f(f(f(f(f(B,B),X_23),B),f(B,C)),B) != f(B,B)
| f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = f(f(B,B),f(B,B)) ),
inference(resolve,[$cnf( $equal(f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)),f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = f(f(B,B),f(B,B)),
inference(resolve,[$cnf( $equal(f(f(f(f(f(B,B),X_23),B),f(B,C)),B),f(B,B)) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
( f(f(B,B),f(B,B)) != B
| f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) != f(f(B,B),f(B,B))
| f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = B ),
inference(subst,[],[refute_0_81:[bind(X,$fot(f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)))),bind(Y,$fot(f(f(B,B),f(B,B)))),bind(Z,$fot(B))]]) ).
cnf(refute_0_90,plain,
( f(f(B,B),f(B,B)) != B
| f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = B ),
inference(resolve,[$cnf( $equal(f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)),f(f(B,B),f(B,B))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) = B,
inference(resolve,[$cnf( $equal(f(f(B,B),f(B,B)),B) )],[refute_0_37,refute_0_90]) ).
cnf(refute_0_92,plain,
( f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) != B
| f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) != f(f(f(f(B,B),X_23),B),f(B,C))
| B = f(f(f(f(B,B),X_23),B),f(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)),f(f(f(f(B,B),X_23),B),f(B,C))) ),[0],$fot(B)]]) ).
cnf(refute_0_93,plain,
( f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) != f(f(f(f(B,B),X_23),B),f(B,C))
| B = f(f(f(f(B,B),X_23),B),f(B,C)) ),
inference(resolve,[$cnf( $equal(f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)),B) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( B != f(f(f(f(B,B),X_23),B),f(B,C))
| f(f(f(f(B,B),X_23),B),f(B,C)) != f(f(B,B),f(B,C))
| B = f(f(B,B),f(B,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(B,f(f(B,B),f(B,C))) ),[0],$fot(f(f(f(f(B,B),X_23),B),f(B,C)))]]) ).
cnf(refute_0_95,plain,
( B != f(f(f(f(B,B),X_23),B),f(B,C))
| B = f(f(B,B),f(B,C)) ),
inference(resolve,[$cnf( $equal(f(f(f(f(B,B),X_23),B),f(B,C)),f(f(B,B),f(B,C))) )],[refute_0_75,refute_0_94]) ).
cnf(refute_0_96,plain,
( f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)) != f(f(f(f(B,B),X_23),B),f(B,C))
| B = f(f(B,B),f(B,C)) ),
inference(resolve,[$cnf( $equal(B,f(f(f(f(B,B),X_23),B),f(B,C))) )],[refute_0_93,refute_0_95]) ).
cnf(refute_0_97,plain,
B = f(f(B,B),f(B,C)),
inference(resolve,[$cnf( $equal(f(f(B,B),f(f(f(f(f(B,B),X_23),B),f(B,C)),B)),f(f(f(f(B,B),X_23),B),f(B,C))) )],[refute_0_70,refute_0_96]) ).
cnf(refute_0_98,plain,
f(B,D) = f(f(f(B,D),f(B,D)),f(f(B,D),f(B,B))),
inference(subst,[],[refute_0_97:[bind(B,$fot(f(B,D))),bind(C,$fot(f(B,B)))]]) ).
cnf(refute_0_99,plain,
( f(B,D) != f(f(f(B,D),f(B,D)),f(f(B,D),f(B,B)))
| f(f(B,D),f(B,B)) != B
| f(B,D) = f(f(f(B,D),f(B,D)),B) ),
introduced(tautology,[equality,[$cnf( $equal(f(B,D),f(f(f(B,D),f(B,D)),f(f(B,D),f(B,B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_100,plain,
( f(B,D) != f(f(f(B,D),f(B,D)),f(f(B,D),f(B,B)))
| f(B,D) = f(f(f(B,D),f(B,D)),B) ),
inference(resolve,[$cnf( $equal(f(f(B,D),f(B,B)),B) )],[refute_0_61,refute_0_99]) ).
cnf(refute_0_101,plain,
f(B,D) = f(f(f(B,D),f(B,D)),B),
inference(resolve,[$cnf( $equal(f(B,D),f(f(f(B,D),f(B,D)),f(f(B,D),f(B,B)))) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) = f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))),f(X_29,X_30)),
inference(subst,[],[refute_0_101:[bind(B,$fot(f(X_29,X_30))),bind(D,$fot(f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))]]) ).
cnf(refute_0_103,plain,
f(f(f(f(A,B),f(B,C)),f(f(A,B),f(f(f(A,B),f(f(f(f(X_16,f(A,B)),f(f(A,B),X_17)),f(f(X_16,f(A,B)),f(f(A,B),X_17))),f(f(X_16,f(A,B)),f(f(A,B),X_17)))),f(f(f(A,B),f(f(X_16,X_16),X_16)),X_17)))),f(B,f(f(B,f(f(A,A),A)),C))) = B,
inference(subst,[],[sos:[bind(D,$fot(f(f(A,B),f(f(f(A,B),f(f(f(f(X_16,f(A,B)),f(f(A,B),X_17)),f(f(X_16,f(A,B)),f(f(A,B),X_17))),f(f(X_16,f(A,B)),f(f(A,B),X_17)))),f(f(f(A,B),f(f(X_16,X_16),X_16)),X_17)))))]]) ).
cnf(refute_0_104,plain,
f(f(f(A,B),f(B,C)),f(f(A,B),f(f(f(A,B),f(f(f(f(X_16,f(A,B)),f(f(A,B),X_17)),f(f(X_16,f(A,B)),f(f(A,B),X_17))),f(f(X_16,f(A,B)),f(f(A,B),X_17)))),f(f(f(A,B),f(f(X_16,X_16),X_16)),X_17)))) = f(A,B),
inference(subst,[],[refute_0_15:[bind(B,$fot(f(A,B))),bind(D,$fot(f(B,C))),bind(X_0,$fot(X_16)),bind(X_2,$fot(X_17))]]) ).
cnf(refute_0_105,plain,
( f(f(f(A,B),f(B,C)),f(f(A,B),f(f(f(A,B),f(f(f(f(X_16,f(A,B)),f(f(A,B),X_17)),f(f(X_16,f(A,B)),f(f(A,B),X_17))),f(f(X_16,f(A,B)),f(f(A,B),X_17)))),f(f(f(A,B),f(f(X_16,X_16),X_16)),X_17)))) != f(A,B)
| f(f(f(f(A,B),f(B,C)),f(f(A,B),f(f(f(A,B),f(f(f(f(X_16,f(A,B)),f(f(A,B),X_17)),f(f(X_16,f(A,B)),f(f(A,B),X_17))),f(f(X_16,f(A,B)),f(f(A,B),X_17)))),f(f(f(A,B),f(f(X_16,X_16),X_16)),X_17)))),f(B,f(f(B,f(f(A,A),A)),C))) != B
| f(f(A,B),f(B,f(f(B,f(f(A,A),A)),C))) = B ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),f(f(A,B),f(f(f(A,B),f(f(f(f(X_16,f(A,B)),f(f(A,B),X_17)),f(f(X_16,f(A,B)),f(f(A,B),X_17))),f(f(X_16,f(A,B)),f(f(A,B),X_17)))),f(f(f(A,B),f(f(X_16,X_16),X_16)),X_17)))),f(B,f(f(B,f(f(A,A),A)),C))),B) ),[0,0],$fot(f(A,B))]]) ).
cnf(refute_0_106,plain,
( f(f(f(f(A,B),f(B,C)),f(f(A,B),f(f(f(A,B),f(f(f(f(X_16,f(A,B)),f(f(A,B),X_17)),f(f(X_16,f(A,B)),f(f(A,B),X_17))),f(f(X_16,f(A,B)),f(f(A,B),X_17)))),f(f(f(A,B),f(f(X_16,X_16),X_16)),X_17)))),f(B,f(f(B,f(f(A,A),A)),C))) != B
| f(f(A,B),f(B,f(f(B,f(f(A,A),A)),C))) = B ),
inference(resolve,[$cnf( $equal(f(f(f(A,B),f(B,C)),f(f(A,B),f(f(f(A,B),f(f(f(f(X_16,f(A,B)),f(f(A,B),X_17)),f(f(X_16,f(A,B)),f(f(A,B),X_17))),f(f(X_16,f(A,B)),f(f(A,B),X_17)))),f(f(f(A,B),f(f(X_16,X_16),X_16)),X_17)))),f(A,B)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
f(f(A,B),f(B,f(f(B,f(f(A,A),A)),C))) = B,
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),f(f(A,B),f(f(f(A,B),f(f(f(f(X_16,f(A,B)),f(f(A,B),X_17)),f(f(X_16,f(A,B)),f(f(A,B),X_17))),f(f(X_16,f(A,B)),f(f(A,B),X_17)))),f(f(f(A,B),f(f(X_16,X_16),X_16)),X_17)))),f(B,f(f(B,f(f(A,A),A)),C))),B) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) = X_30,
inference(subst,[],[refute_0_107:[bind(A,$fot(X_29)),bind(B,$fot(X_30)),bind(C,$fot(X_31))]]) ).
cnf(refute_0_109,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != X_30
| f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))),f(X_29,X_30))
| f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) = f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))),f(X_29,X_30))) ),[1,0,1],$fot(X_30)]]) ).
cnf(refute_0_110,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))),f(X_29,X_30))
| f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) = f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) ),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) = f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))),f(X_29,X_30))) )],[refute_0_102,refute_0_110]) ).
cnf(refute_0_112,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != X_30
| f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))
| X_30 = f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))) ),[0],$fot(X_30)]]) ).
cnf(refute_0_113,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))
| X_30 = f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) ),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) )],[refute_0_108,refute_0_112]) ).
cnf(refute_0_114,plain,
f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) = f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),
introduced(tautology,[refl,[$fot(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30))]]) ).
cnf(refute_0_115,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != X_30
| f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) != f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30)
| f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) = f(X_30,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30)) ),[1,0],$fot(X_30)]]) ).
cnf(refute_0_116,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != X_30
| f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) = f(X_30,X_30) ),
inference(resolve,[$cnf( $equal(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) = f(X_30,X_30),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) )],[refute_0_108,refute_0_116]) ).
cnf(refute_0_118,plain,
f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) = f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)),
introduced(tautology,[refl,[$fot(f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)))]]) ).
cnf(refute_0_119,plain,
( f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) != f(X_30,X_30)
| f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) != f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))
| f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) = f(f(X_30,X_30),f(X_29,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)),f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))) ),[1,0],$fot(f(X_30,X_30))]]) ).
cnf(refute_0_120,plain,
( f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) != f(X_30,X_30)
| f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) = f(f(X_30,X_30),f(X_29,X_30)) ),
inference(resolve,[$cnf( $equal(f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)),f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) = f(f(X_30,X_30),f(X_29,X_30)),
inference(resolve,[$cnf( $equal(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_30,X_30)) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( X_30 != f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))
| f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)) != f(f(X_30,X_30),f(X_29,X_30))
| X_30 = f(f(X_30,X_30),f(X_29,X_30)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_30,f(f(X_30,X_30),f(X_29,X_30))) ),[0],$fot(f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)))]]) ).
cnf(refute_0_123,plain,
( X_30 != f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))
| X_30 = f(f(X_30,X_30),f(X_29,X_30)) ),
inference(resolve,[$cnf( $equal(f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30)),f(f(X_30,X_30),f(X_29,X_30))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))
| X_30 = f(f(X_30,X_30),f(X_29,X_30)) ),
inference(resolve,[$cnf( $equal(X_30,f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))) )],[refute_0_113,refute_0_123]) ).
cnf(refute_0_125,plain,
X_30 = f(f(X_30,X_30),f(X_29,X_30)),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30),f(X_29,X_30))) )],[refute_0_111,refute_0_124]) ).
cnf(refute_0_126,plain,
f(X_39,X_39) = f(f(f(X_39,X_39),f(X_39,X_39)),f(X_29,f(X_39,X_39))),
inference(subst,[],[refute_0_125:[bind(X_30,$fot(f(X_39,X_39)))]]) ).
cnf(refute_0_127,plain,
X_39 = f(f(X_39,X_39),f(X_39,X_39)),
inference(subst,[],[refute_0_125:[bind(X_29,$fot(X_39)),bind(X_30,$fot(X_39))]]) ).
cnf(refute_0_128,plain,
( X_39 != f(f(X_39,X_39),f(X_39,X_39))
| f(f(X_39,X_39),f(X_39,X_39)) = X_39 ),
inference(subst,[],[refute_0_52:[bind(X,$fot(X_39)),bind(Y,$fot(f(f(X_39,X_39),f(X_39,X_39))))]]) ).
cnf(refute_0_129,plain,
f(f(X_39,X_39),f(X_39,X_39)) = X_39,
inference(resolve,[$cnf( $equal(X_39,f(f(X_39,X_39),f(X_39,X_39))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( f(X_39,X_39) != f(f(f(X_39,X_39),f(X_39,X_39)),f(X_29,f(X_39,X_39)))
| f(f(X_39,X_39),f(X_39,X_39)) != X_39
| f(X_39,X_39) = f(X_39,f(X_29,f(X_39,X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(f(X_39,X_39),f(f(f(X_39,X_39),f(X_39,X_39)),f(X_29,f(X_39,X_39)))) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_131,plain,
( f(X_39,X_39) != f(f(f(X_39,X_39),f(X_39,X_39)),f(X_29,f(X_39,X_39)))
| f(X_39,X_39) = f(X_39,f(X_29,f(X_39,X_39))) ),
inference(resolve,[$cnf( $equal(f(f(X_39,X_39),f(X_39,X_39)),X_39) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
f(X_39,X_39) = f(X_39,f(X_29,f(X_39,X_39))),
inference(resolve,[$cnf( $equal(f(X_39,X_39),f(f(f(X_39,X_39),f(X_39,X_39)),f(X_29,f(X_39,X_39)))) )],[refute_0_126,refute_0_131]) ).
cnf(refute_0_133,plain,
f(X_55,X_55) = f(X_55,f(X_56,f(X_55,X_55))),
inference(subst,[],[refute_0_132:[bind(X_29,$fot(X_56)),bind(X_39,$fot(X_55))]]) ).
cnf(refute_0_134,plain,
( f(X_55,X_55) != f(X_55,f(X_56,f(X_55,X_55)))
| f(X_55,f(X_56,f(X_55,X_55))) = f(X_55,X_55) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(f(X_55,X_55))),bind(Y,$fot(f(X_55,f(X_56,f(X_55,X_55)))))]]) ).
cnf(refute_0_135,plain,
f(X_55,f(X_56,f(X_55,X_55))) = f(X_55,X_55),
inference(resolve,[$cnf( $equal(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
( f(X_55,f(X_56,f(X_55,X_55))) != f(X_55,X_55)
| f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,f(X_56,f(X_55,X_55)))))) != X_56
| f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,f(X_56,f(X_55,X_55)))))),X_56) ),[0,1,1,1],$fot(f(X_55,X_55))]]) ).
cnf(refute_0_137,plain,
( f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,f(X_56,f(X_55,X_55)))))) != X_56
| f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) = X_56 ),
inference(resolve,[$cnf( $equal(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,X_55)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) = X_56,
inference(resolve,[$cnf( $equal(f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,f(X_56,f(X_55,X_55)))))),X_56) )],[refute_0_23,refute_0_137]) ).
cnf(refute_0_139,plain,
f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17))),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)))),f(f(f(X_1,X_2),f(f(X_16,X_16),X_16)),X_17)))))) = f(X_1,X_2),
inference(subst,[],[refute_0_4:[bind(C,$fot(f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17))),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)))),f(f(f(X_1,X_2),f(f(X_16,X_16),X_16)),X_17)))))]]) ).
cnf(refute_0_140,plain,
f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17))),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)))),f(f(f(X_1,X_2),f(f(X_16,X_16),X_16)),X_17)))) = f(X_1,X_2),
inference(subst,[],[refute_0_15:[bind(B,$fot(f(X_1,X_2))),bind(D,$fot(f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1)))),bind(X_0,$fot(X_16)),bind(X_2,$fot(X_17))]]) ).
cnf(refute_0_141,plain,
( f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17))),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)))),f(f(f(X_1,X_2),f(f(X_16,X_16),X_16)),X_17)))))) != f(X_1,X_2)
| f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17))),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)))),f(f(f(X_1,X_2),f(f(X_16,X_16),X_16)),X_17)))) != f(X_1,X_2)
| f(X_1,f(f(X_1,X_2),f(X_1,X_2))) = f(X_1,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17))),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)))),f(f(f(X_1,X_2),f(f(X_16,X_16),X_16)),X_17)))))),f(X_1,X_2)) ),[0,1,1],$fot(f(X_1,X_2))]]) ).
cnf(refute_0_142,plain,
( f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17))),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)))),f(f(f(X_1,X_2),f(f(X_16,X_16),X_16)),X_17)))))) != f(X_1,X_2)
| f(X_1,f(f(X_1,X_2),f(X_1,X_2))) = f(X_1,X_2) ),
inference(resolve,[$cnf( $equal(f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17))),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)))),f(f(f(X_1,X_2),f(f(X_16,X_16),X_16)),X_17)))),f(X_1,X_2)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
f(X_1,f(f(X_1,X_2),f(X_1,X_2))) = f(X_1,X_2),
inference(resolve,[$cnf( $equal(f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(X_0,X_1),f(X_0,X_1)),f(X_0,X_1))),f(f(X_1,X_2),f(f(f(X_1,X_2),f(f(f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17))),f(f(X_16,f(X_1,X_2)),f(f(X_1,X_2),X_17)))),f(f(f(X_1,X_2),f(f(X_16,X_16),X_16)),X_17)))))),f(X_1,X_2)) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
f(f(X_29,X_30),f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) = f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),
inference(subst,[],[refute_0_143:[bind(X_1,$fot(f(X_29,X_30))),bind(X_2,$fot(f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))]]) ).
cnf(refute_0_145,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != X_30
| f(f(X_29,X_30),f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) != f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))
| f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) = f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_29,X_30),f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) ),[0,1,0],$fot(X_30)]]) ).
cnf(refute_0_146,plain,
( f(f(X_29,X_30),f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) != f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))
| f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) = f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) ),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) )],[refute_0_108,refute_0_145]) ).
cnf(refute_0_147,plain,
f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) = f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) )],[refute_0_144,refute_0_146]) ).
cnf(refute_0_148,plain,
f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) = f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))),
introduced(tautology,[refl,[$fot(f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))))]]) ).
cnf(refute_0_149,plain,
( f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) != f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))
| f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != X_30
| f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) = f(X_30,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) ),[1,1],$fot(X_30)]]) ).
cnf(refute_0_150,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != X_30
| f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) = f(X_30,X_30) ),
inference(resolve,[$cnf( $equal(f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) = f(X_30,X_30),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) )],[refute_0_108,refute_0_150]) ).
cnf(refute_0_152,plain,
f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) = f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))),
introduced(tautology,[refl,[$fot(f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))))]]) ).
cnf(refute_0_153,plain,
( f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) != f(X_30,X_30)
| f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) != f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))))
| f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) = f(f(X_29,X_30),f(X_30,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))),f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))))) ),[1,1],$fot(f(X_30,X_30))]]) ).
cnf(refute_0_154,plain,
( f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) != f(X_30,X_30)
| f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) = f(f(X_29,X_30),f(X_30,X_30)) ),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))),f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) = f(f(X_29,X_30),f(X_30,X_30)),
inference(resolve,[$cnf( $equal(f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))),f(X_30,X_30)) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) != f(f(X_29,X_30),f(X_30,X_30))
| f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) != f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))
| f(f(X_29,X_30),f(X_30,X_30)) = f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) ),[0],$fot(f(f(X_29,X_30),f(X_30,X_30)))]]) ).
cnf(refute_0_157,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) != f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))
| f(f(X_29,X_30),f(X_30,X_30)) = f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) ),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))),f(f(X_29,X_30),f(X_30,X_30))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( f(f(X_29,X_30),f(X_30,X_30)) != f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))
| f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))) != X_30
| f(f(X_29,X_30),f(X_30,X_30)) = X_30 ),
introduced(tautology,[equality,[$cnf( ~ $equal(f(f(X_29,X_30),f(X_30,X_30)),X_30) ),[0],$fot(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))]]) ).
cnf(refute_0_159,plain,
( f(f(X_29,X_30),f(X_30,X_30)) != f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))
| f(f(X_29,X_30),f(X_30,X_30)) = X_30 ),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))),X_30) )],[refute_0_108,refute_0_158]) ).
cnf(refute_0_160,plain,
( f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))) != f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))
| f(f(X_29,X_30),f(X_30,X_30)) = X_30 ),
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,X_30)),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) )],[refute_0_157,refute_0_159]) ).
cnf(refute_0_161,plain,
f(f(X_29,X_30),f(X_30,X_30)) = X_30,
inference(resolve,[$cnf( $equal(f(f(X_29,X_30),f(X_30,f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31))))),f(f(X_29,X_30),f(X_30,f(f(X_30,f(f(X_29,X_29),X_29)),X_31)))) )],[refute_0_147,refute_0_160]) ).
cnf(refute_0_162,plain,
f(f(X_55,X_55),f(X_55,X_55)) = X_55,
inference(subst,[],[refute_0_161:[bind(X_29,$fot(X_55)),bind(X_30,$fot(X_55))]]) ).
cnf(refute_0_163,plain,
f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))),
introduced(tautology,[refl,[$fot(f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))))]]) ).
cnf(refute_0_164,plain,
( f(X_55,f(X_56,f(X_55,X_55))) != f(X_55,X_55)
| f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) != f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55))))
| f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))),f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55))))) ),[1,1],$fot(f(X_55,X_55))]]) ).
cnf(refute_0_165,plain,
( f(X_55,f(X_56,f(X_55,X_55))) != f(X_55,X_55)
| f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,X_55)) ),
inference(resolve,[$cnf( $equal(f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))),f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55))))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,X_55)),
inference(resolve,[$cnf( $equal(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,X_55)) )],[refute_0_135,refute_0_165]) ).
cnf(refute_0_167,plain,
f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),
introduced(tautology,[refl,[$fot(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))))]]) ).
cnf(refute_0_168,plain,
( f(X_55,f(X_56,f(X_55,X_55))) != f(X_55,X_55)
| f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) != f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55))))
| f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55))))) ),[1,0],$fot(f(X_55,X_55))]]) ).
cnf(refute_0_169,plain,
( f(X_55,f(X_56,f(X_55,X_55))) != f(X_55,X_55)
| f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) ),
inference(resolve,[$cnf( $equal(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55))))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))),
inference(resolve,[$cnf( $equal(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,X_55)) )],[refute_0_135,refute_0_169]) ).
cnf(refute_0_171,plain,
( f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) != f(f(X_55,X_55),f(X_55,X_55))
| f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) != f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55))))
| f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,X_55)) ),
inference(subst,[],[refute_0_81:[bind(X,$fot(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))))),bind(Y,$fot(f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))))),bind(Z,$fot(f(f(X_55,X_55),f(X_55,X_55))))]]) ).
cnf(refute_0_172,plain,
( f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))) != f(f(X_55,X_55),f(X_55,X_55))
| f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,X_55)) ),
inference(resolve,[$cnf( $equal(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55))))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = f(f(X_55,X_55),f(X_55,X_55)),
inference(resolve,[$cnf( $equal(f(f(X_55,X_55),f(X_55,f(X_56,f(X_55,X_55)))),f(f(X_55,X_55),f(X_55,X_55))) )],[refute_0_166,refute_0_172]) ).
cnf(refute_0_174,plain,
( f(f(X_55,X_55),f(X_55,X_55)) != X_55
| f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) != f(f(X_55,X_55),f(X_55,X_55))
| f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = X_55 ),
inference(subst,[],[refute_0_81:[bind(X,$fot(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))))),bind(Y,$fot(f(f(X_55,X_55),f(X_55,X_55)))),bind(Z,$fot(X_55))]]) ).
cnf(refute_0_175,plain,
( f(f(X_55,X_55),f(X_55,X_55)) != X_55
| f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = X_55 ),
inference(resolve,[$cnf( $equal(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(f(X_55,X_55),f(X_55,X_55))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) = X_55,
inference(resolve,[$cnf( $equal(f(f(X_55,X_55),f(X_55,X_55)),X_55) )],[refute_0_162,refute_0_175]) ).
cnf(refute_0_177,plain,
f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)) = f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)),
introduced(tautology,[refl,[$fot(f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))]]) ).
cnf(refute_0_178,plain,
( f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) != X_55
| f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)) != f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))
| f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)) = f(X_55,f(X_55,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)),f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_179,plain,
( f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))) != X_55
| f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)) = f(X_55,f(X_55,X_55)) ),
inference(resolve,[$cnf( $equal(f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)),f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)) = f(X_55,f(X_55,X_55)),
inference(resolve,[$cnf( $equal(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),X_55) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))) = f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))),
introduced(tautology,[refl,[$fot(f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))))]]) ).
cnf(refute_0_182,plain,
( f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))) != f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))
| f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)) != f(X_55,f(X_55,X_55))
| f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))) = f(X_56,f(X_55,f(X_55,X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) ),[1,1],$fot(f(X_55,f(X_55,X_55)))]]) ).
cnf(refute_0_183,plain,
( f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)) != f(X_55,f(X_55,X_55))
| f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))) = f(X_56,f(X_55,f(X_55,X_55))) ),
inference(resolve,[$cnf( $equal(f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))) = f(X_56,f(X_55,f(X_55,X_55))),
inference(resolve,[$cnf( $equal(f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)),f(X_55,f(X_55,X_55))) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) = f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))),
introduced(tautology,[refl,[$fot(f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))))]]) ).
cnf(refute_0_186,plain,
( f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))) != f(X_56,f(X_55,f(X_55,X_55)))
| f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) != f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))))
| f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) = f(f(X_56,f(X_55,X_55)),f(X_56,f(X_55,f(X_55,X_55)))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))),f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))))) ),[1,1],$fot(f(X_56,f(X_55,f(X_55,X_55))))]]) ).
cnf(refute_0_187,plain,
( f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))) != f(X_56,f(X_55,f(X_55,X_55)))
| f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) = f(f(X_56,f(X_55,X_55)),f(X_56,f(X_55,f(X_55,X_55)))) ),
inference(resolve,[$cnf( $equal(f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))),f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) = f(f(X_56,f(X_55,X_55)),f(X_56,f(X_55,f(X_55,X_55)))),
inference(resolve,[$cnf( $equal(f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55))),f(X_56,f(X_55,f(X_55,X_55)))) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
( f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) != X_56
| f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) != f(f(X_56,f(X_55,X_55)),f(X_56,f(X_55,f(X_55,X_55))))
| f(f(X_56,f(X_55,X_55)),f(X_56,f(X_55,f(X_55,X_55)))) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))),X_56) ),[0],$fot(f(f(X_56,f(X_55,X_55)),f(X_56,f(X_55,f(X_55,X_55)))))]]) ).
cnf(refute_0_190,plain,
( f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))) != X_56
| f(f(X_56,f(X_55,X_55)),f(X_56,f(X_55,f(X_55,X_55)))) = X_56 ),
inference(resolve,[$cnf( $equal(f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))),f(f(X_56,f(X_55,X_55)),f(X_56,f(X_55,f(X_55,X_55))))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
f(f(X_56,f(X_55,X_55)),f(X_56,f(X_55,f(X_55,X_55)))) = X_56,
inference(resolve,[$cnf( $equal(f(f(X_56,f(X_55,X_55)),f(X_56,f(f(f(X_55,f(X_56,f(X_55,X_55))),f(X_55,f(X_56,f(X_55,X_55)))),f(X_55,X_55)))),X_56) )],[refute_0_138,refute_0_190]) ).
cnf(refute_0_192,plain,
f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))))) = X_56,
inference(subst,[],[refute_0_191:[bind(X_55,$fot(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))))]]) ).
cnf(refute_0_193,plain,
f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,f(X_60,X_60)))) = f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),
inference(subst,[],[refute_0_191:[bind(X_55,$fot(X_60)),bind(X_56,$fot(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)))]]) ).
cnf(refute_0_194,plain,
f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,f(X_60,X_60))) = f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),
inference(subst,[],[refute_0_66:[bind(X_22,$fot(f(X_60,f(X_60,X_60))))]]) ).
cnf(refute_0_195,plain,
( f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,f(X_60,X_60))) != f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,f(X_60,X_60)))) != f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,f(X_60,X_60)))),f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)) ),[0,1],$fot(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))))]]) ).
cnf(refute_0_196,plain,
( f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,f(X_60,X_60)))) != f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D) ),
inference(resolve,[$cnf( $equal(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,f(X_60,X_60))),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),
inference(resolve,[$cnf( $equal(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,f(X_60,X_60)))),f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_1),f(X_1,X_1)),f(X_1,X_1)))) = f(X_1,X_2),
inference(subst,[],[refute_0_9:[bind(X_0,$fot(X_1))]]) ).
cnf(refute_0_199,plain,
f(f(X_1,X_1),f(X_1,X_1)) = X_1,
inference(subst,[],[refute_0_37:[bind(B,$fot(X_1))]]) ).
cnf(refute_0_200,plain,
( f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_1),f(X_1,X_1)),f(X_1,X_1)))) != f(X_1,X_2)
| f(f(X_1,X_1),f(X_1,X_1)) != X_1
| f(X_1,f(f(X_1,X_2),f(X_1,f(X_1,X_1)))) = f(X_1,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_1),f(X_1,X_1)),f(X_1,X_1)))),f(X_1,X_2)) ),[0,1,1,0],$fot(X_1)]]) ).
cnf(refute_0_201,plain,
( f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_1),f(X_1,X_1)),f(X_1,X_1)))) != f(X_1,X_2)
| f(X_1,f(f(X_1,X_2),f(X_1,f(X_1,X_1)))) = f(X_1,X_2) ),
inference(resolve,[$cnf( $equal(f(f(X_1,X_1),f(X_1,X_1)),X_1) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
f(X_1,f(f(X_1,X_2),f(X_1,f(X_1,X_1)))) = f(X_1,X_2),
inference(resolve,[$cnf( $equal(f(X_1,f(f(X_1,X_2),f(f(f(X_1,X_1),f(X_1,X_1)),f(X_1,X_1)))),f(X_1,X_2)) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(X_60,f(X_60,X_60)),
inference(subst,[],[refute_0_202:[bind(X_1,$fot(X_60)),bind(X_2,$fot(f(X_60,X_60)))]]) ).
cnf(refute_0_204,plain,
f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))))) = f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),
inference(subst,[],[refute_0_143:[bind(X_1,$fot(f(f(f(A,B),f(B,C)),D))),bind(X_2,$fot(f(B,f(f(B,f(f(A,A),A)),C))))]]) ).
cnf(refute_0_205,plain,
( f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) != B
| f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))))) != f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))
| f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) = f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))))),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_206,plain,
( f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))))) != f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))
| f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) = f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) ),
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) )],[sos,refute_0_205]) ).
cnf(refute_0_207,plain,
f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) = f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))))),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))) )],[refute_0_204,refute_0_206]) ).
cnf(refute_0_208,plain,
f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) = f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B),
introduced(tautology,[refl,[$fot(f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B))]]) ).
cnf(refute_0_209,plain,
( f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) != B
| f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) != f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)
| f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) = f(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) ),[1,0],$fot(B)]]) ).
cnf(refute_0_210,plain,
( f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) != B
| f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) = f(B,B) ),
inference(resolve,[$cnf( $equal(f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) = f(B,B),
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) )],[sos,refute_0_210]) ).
cnf(refute_0_212,plain,
f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) = f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)),
introduced(tautology,[refl,[$fot(f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)))]]) ).
cnf(refute_0_213,plain,
( f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) != f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B))
| f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) != f(B,B)
| f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) = f(f(f(f(A,B),f(B,C)),D),f(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)),f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B))) ),[1,1],$fot(f(B,B))]]) ).
cnf(refute_0_214,plain,
( f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) != f(B,B)
| f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) = f(f(f(f(A,B),f(B,C)),D),f(B,B)) ),
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)),f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) = f(f(f(f(A,B),f(B,C)),D),f(B,B)),
inference(resolve,[$cnf( $equal(f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B),f(B,B)) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
( f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) != f(f(f(f(A,B),f(B,C)),D),f(B,B))
| f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) != f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))
| f(f(f(f(A,B),f(B,C)),D),f(B,B)) = f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))) ),[0],$fot(f(f(f(f(A,B),f(B,C)),D),f(B,B)))]]) ).
cnf(refute_0_217,plain,
( f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) != f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))
| f(f(f(f(A,B),f(B,C)),D),f(B,B)) = f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) ),
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)),f(f(f(f(A,B),f(B,C)),D),f(B,B))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
( f(f(f(f(A,B),f(B,C)),D),f(B,B)) != f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))
| f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) != B
| f(f(f(f(A,B),f(B,C)),D),f(B,B)) = B ),
introduced(tautology,[equality,[$cnf( ~ $equal(f(f(f(f(A,B),f(B,C)),D),f(B,B)),B) ),[0],$fot(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))))]]) ).
cnf(refute_0_219,plain,
( f(f(f(f(A,B),f(B,C)),D),f(B,B)) != f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))
| f(f(f(f(A,B),f(B,C)),D),f(B,B)) = B ),
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B) )],[sos,refute_0_218]) ).
cnf(refute_0_220,plain,
( f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)) != f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))
| f(f(f(f(A,B),f(B,C)),D),f(B,B)) = B ),
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(B,B)),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))) )],[refute_0_217,refute_0_219]) ).
cnf(refute_0_221,plain,
f(f(f(f(A,B),f(B,C)),D),f(B,B)) = B,
inference(resolve,[$cnf( $equal(f(f(f(f(A,B),f(B,C)),D),f(f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))),B)),f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C)))) )],[refute_0_207,refute_0_220]) ).
cnf(refute_0_222,plain,
f(f(f(f(f(f(X_47,D),f(X_47,D)),X_47),f(X_47,X_48)),X_49),f(X_47,X_47)) = X_47,
inference(subst,[],[refute_0_221:[bind(A,$fot(f(f(X_47,D),f(X_47,D)))),bind(B,$fot(X_47)),bind(C,$fot(X_48)),bind(D,$fot(X_49))]]) ).
cnf(refute_0_223,plain,
f(X_47,D) = f(f(f(X_47,D),f(X_47,D)),X_47),
inference(subst,[],[refute_0_101:[bind(B,$fot(X_47))]]) ).
cnf(refute_0_224,plain,
( f(X_47,D) != f(f(f(X_47,D),f(X_47,D)),X_47)
| f(f(f(X_47,D),f(X_47,D)),X_47) = f(X_47,D) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(f(X_47,D))),bind(Y,$fot(f(f(f(X_47,D),f(X_47,D)),X_47)))]]) ).
cnf(refute_0_225,plain,
f(f(f(X_47,D),f(X_47,D)),X_47) = f(X_47,D),
inference(resolve,[$cnf( $equal(f(X_47,D),f(f(f(X_47,D),f(X_47,D)),X_47)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( f(f(f(X_47,D),f(X_47,D)),X_47) != f(X_47,D)
| f(f(f(f(f(f(X_47,D),f(X_47,D)),X_47),f(X_47,X_48)),X_49),f(X_47,X_47)) != X_47
| f(f(f(f(X_47,D),f(X_47,X_48)),X_49),f(X_47,X_47)) = X_47 ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(f(f(X_47,D),f(X_47,D)),X_47),f(X_47,X_48)),X_49),f(X_47,X_47)),X_47) ),[0,0,0,0],$fot(f(X_47,D))]]) ).
cnf(refute_0_227,plain,
( f(f(f(f(f(f(X_47,D),f(X_47,D)),X_47),f(X_47,X_48)),X_49),f(X_47,X_47)) != X_47
| f(f(f(f(X_47,D),f(X_47,X_48)),X_49),f(X_47,X_47)) = X_47 ),
inference(resolve,[$cnf( $equal(f(f(f(X_47,D),f(X_47,D)),X_47),f(X_47,D)) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
f(f(f(f(X_47,D),f(X_47,X_48)),X_49),f(X_47,X_47)) = X_47,
inference(resolve,[$cnf( $equal(f(f(f(f(f(f(X_47,D),f(X_47,D)),X_47),f(X_47,X_48)),X_49),f(X_47,X_47)),X_47) )],[refute_0_222,refute_0_227]) ).
cnf(refute_0_229,plain,
f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)) = X_60,
inference(subst,[],[refute_0_228:[bind(D,$fot(f(X_60,X_60))),bind(X_47,$fot(X_60)),bind(X_48,$fot(f(X_60,X_60))),bind(X_49,$fot(D))]]) ).
cnf(refute_0_230,plain,
f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))),
introduced(tautology,[refl,[$fot(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))))]]) ).
cnf(refute_0_231,plain,
( f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)) != X_60
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) != f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))))
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))),f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))))) ),[1,0],$fot(X_60)]]) ).
cnf(refute_0_232,plain,
( f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)) != X_60
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) ),
inference(resolve,[$cnf( $equal(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))),f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))),
inference(resolve,[$cnf( $equal(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),X_60) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
( f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) != f(X_60,f(X_60,X_60))
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) != f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))))
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(X_60,f(X_60,X_60)) ),
inference(subst,[],[refute_0_81:[bind(X,$fot(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))))),bind(Y,$fot(f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))))),bind(Z,$fot(f(X_60,f(X_60,X_60))))]]) ).
cnf(refute_0_235,plain,
( f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) != f(X_60,f(X_60,X_60))
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(X_60,f(X_60,X_60)) ),
inference(resolve,[$cnf( $equal(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))),f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) = f(X_60,f(X_60,X_60)),
inference(resolve,[$cnf( $equal(f(X_60,f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))),f(X_60,f(X_60,X_60))) )],[refute_0_203,refute_0_235]) ).
cnf(refute_0_237,plain,
( f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) != f(X_60,f(X_60,X_60))
| f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) != f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)
| f(X_60,f(X_60,X_60)) = f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))),f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)) ),[0],$fot(f(X_60,f(X_60,X_60)))]]) ).
cnf(refute_0_238,plain,
( f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))) != f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)
| f(X_60,f(X_60,X_60)) = f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D) ),
inference(resolve,[$cnf( $equal(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))),f(X_60,f(X_60,X_60))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
f(X_60,f(X_60,X_60)) = f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),
inference(resolve,[$cnf( $equal(f(f(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D),f(X_60,X_60)),f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60)))),f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)) )],[refute_0_197,refute_0_238]) ).
cnf(refute_0_240,plain,
f(X_71,f(X_71,X_71)) = f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))),
inference(subst,[],[refute_0_239:[bind(D,$fot(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),bind(X_60,$fot(X_71))]]) ).
cnf(refute_0_241,plain,
( f(X_71,f(X_71,X_71)) != f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))
| f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))) = f(X_71,f(X_71,X_71)) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(f(X_71,f(X_71,X_71)))),bind(Y,$fot(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))))]]) ).
cnf(refute_0_242,plain,
f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))) = f(X_71,f(X_71,X_71)),
inference(resolve,[$cnf( $equal(f(X_71,f(X_71,X_71)),f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))))) != X_56
| f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))) != f(X_71,f(X_71,X_71))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))))),X_56) ),[0,1,1,1],$fot(f(X_71,f(X_71,X_71)))]]) ).
cnf(refute_0_244,plain,
( f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))))) != X_56
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = X_56 ),
inference(resolve,[$cnf( $equal(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))),f(X_71,f(X_71,X_71))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = X_56,
inference(resolve,[$cnf( $equal(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))))),X_56) )],[refute_0_192,refute_0_244]) ).
cnf(refute_0_246,plain,
f(f(X_29,f(X_32,X_32)),f(f(X_32,X_32),f(X_32,X_32))) = f(X_32,X_32),
inference(subst,[],[refute_0_161:[bind(X_30,$fot(f(X_32,X_32)))]]) ).
cnf(refute_0_247,plain,
f(f(X_32,X_32),f(X_32,X_32)) = X_32,
inference(subst,[],[refute_0_161:[bind(X_29,$fot(X_32)),bind(X_30,$fot(X_32))]]) ).
cnf(refute_0_248,plain,
( f(f(X_29,f(X_32,X_32)),f(f(X_32,X_32),f(X_32,X_32))) != f(X_32,X_32)
| f(f(X_32,X_32),f(X_32,X_32)) != X_32
| f(f(X_29,f(X_32,X_32)),X_32) = f(X_32,X_32) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_29,f(X_32,X_32)),f(f(X_32,X_32),f(X_32,X_32))),f(X_32,X_32)) ),[0,1],$fot(X_32)]]) ).
cnf(refute_0_249,plain,
( f(f(X_29,f(X_32,X_32)),f(f(X_32,X_32),f(X_32,X_32))) != f(X_32,X_32)
| f(f(X_29,f(X_32,X_32)),X_32) = f(X_32,X_32) ),
inference(resolve,[$cnf( $equal(f(f(X_32,X_32),f(X_32,X_32)),X_32) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
f(f(X_29,f(X_32,X_32)),X_32) = f(X_32,X_32),
inference(resolve,[$cnf( $equal(f(f(X_29,f(X_32,X_32)),f(f(X_32,X_32),f(X_32,X_32))),f(X_32,X_32)) )],[refute_0_246,refute_0_249]) ).
cnf(refute_0_251,plain,
f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)),X_32) = f(X_32,X_32),
inference(subst,[],[refute_0_250:[bind(X_29,$fot(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))))]]) ).
cnf(refute_0_252,plain,
f(X_71,f(X_71,X_71)) = f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)),
inference(subst,[],[refute_0_239:[bind(D,$fot(f(X_32,X_32))),bind(X_60,$fot(X_71))]]) ).
cnf(refute_0_253,plain,
( f(X_71,f(X_71,X_71)) != f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32))
| f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)) = f(X_71,f(X_71,X_71)) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(f(X_71,f(X_71,X_71)))),bind(Y,$fot(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32))))]]) ).
cnf(refute_0_254,plain,
f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)) = f(X_71,f(X_71,X_71)),
inference(resolve,[$cnf( $equal(f(X_71,f(X_71,X_71)),f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
( f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)) != f(X_71,f(X_71,X_71))
| f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)),X_32) != f(X_32,X_32)
| f(f(X_71,f(X_71,X_71)),X_32) = f(X_32,X_32) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)),X_32),f(X_32,X_32)) ),[0,0],$fot(f(X_71,f(X_71,X_71)))]]) ).
cnf(refute_0_256,plain,
( f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)),X_32) != f(X_32,X_32)
| f(f(X_71,f(X_71,X_71)),X_32) = f(X_32,X_32) ),
inference(resolve,[$cnf( $equal(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)),f(X_71,f(X_71,X_71))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
f(f(X_71,f(X_71,X_71)),X_32) = f(X_32,X_32),
inference(resolve,[$cnf( $equal(f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_32,X_32)),X_32),f(X_32,X_32)) )],[refute_0_251,refute_0_256]) ).
cnf(refute_0_258,plain,
( f(f(X_71,f(X_71,X_71)),X_32) != f(X_32,X_32)
| f(X_32,X_32) = f(f(X_71,f(X_71,X_71)),X_32) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(f(f(X_71,f(X_71,X_71)),X_32))),bind(Y,$fot(f(X_32,X_32)))]]) ).
cnf(refute_0_259,plain,
f(X_32,X_32) = f(f(X_71,f(X_71,X_71)),X_32),
inference(resolve,[$cnf( $equal(f(f(X_71,f(X_71,X_71)),X_32),f(X_32,X_32)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))) = f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71)))),
inference(subst,[],[refute_0_259:[bind(X_32,$fot(f(X_56,f(X_71,f(X_71,X_71)))))]]) ).
cnf(refute_0_261,plain,
( f(X_60,f(X_60,X_60)) != f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)
| f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D) = f(X_60,f(X_60,X_60)) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(f(X_60,f(X_60,X_60)))),bind(Y,$fot(f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)))]]) ).
cnf(refute_0_262,plain,
f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D) = f(X_60,f(X_60,X_60)),
inference(resolve,[$cnf( $equal(f(X_60,f(X_60,X_60)),f(f(f(X_60,f(X_60,X_60)),f(X_60,f(X_60,X_60))),D)) )],[refute_0_239,refute_0_261]) ).
cnf(refute_0_263,plain,
f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))) = f(X_71,f(X_71,X_71)),
inference(subst,[],[refute_0_262:[bind(D,$fot(f(X_71,f(X_71,X_71)))),bind(X_60,$fot(X_71))]]) ).
cnf(refute_0_264,plain,
f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))) = f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))),
introduced(tautology,[refl,[$fot(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))))]]) ).
cnf(refute_0_265,plain,
( f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))) != f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))
| f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))) != f(X_71,f(X_71,X_71))
| f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))) = f(X_56,f(X_71,f(X_71,X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) ),[1,1],$fot(f(X_71,f(X_71,X_71)))]]) ).
cnf(refute_0_266,plain,
( f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))) != f(X_71,f(X_71,X_71))
| f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))) = f(X_56,f(X_71,f(X_71,X_71))) ),
inference(resolve,[$cnf( $equal(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))) = f(X_56,f(X_71,f(X_71,X_71))),
inference(resolve,[$cnf( $equal(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),
introduced(tautology,[refl,[$fot(f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))))]]) ).
cnf(refute_0_269,plain,
( f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))) != f(X_56,f(X_71,f(X_71,X_71)))
| f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) != f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))))
| f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))))) ),[1,1],$fot(f(X_56,f(X_71,f(X_71,X_71))))]]) ).
cnf(refute_0_270,plain,
( f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))) != f(X_56,f(X_71,f(X_71,X_71)))
| f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))) ),
inference(resolve,[$cnf( $equal(f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))),
inference(resolve,[$cnf( $equal(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))),f(X_56,f(X_71,f(X_71,X_71)))) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))) = f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),
introduced(tautology,[refl,[$fot(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))))]]) ).
cnf(refute_0_273,plain,
( f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))) != f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))))
| f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))) != f(X_71,f(X_71,X_71))
| f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))) = f(X_56,f(X_71,f(X_71,X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))))) ),[1,1],$fot(f(X_71,f(X_71,X_71)))]]) ).
cnf(refute_0_274,plain,
( f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))) != f(X_71,f(X_71,X_71))
| f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))) = f(X_56,f(X_71,f(X_71,X_71))) ),
inference(resolve,[$cnf( $equal(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))) = f(X_56,f(X_71,f(X_71,X_71))),
inference(resolve,[$cnf( $equal(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))),f(X_71,f(X_71,X_71))) )],[refute_0_242,refute_0_274]) ).
cnf(refute_0_276,plain,
f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),
introduced(tautology,[refl,[$fot(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))))]]) ).
cnf(refute_0_277,plain,
( f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))) != f(X_56,f(X_71,f(X_71,X_71)))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) != f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))))) ),[1,0],$fot(f(X_56,f(X_71,f(X_71,X_71))))]]) ).
cnf(refute_0_278,plain,
( f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))) != f(X_56,f(X_71,f(X_71,X_71)))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) ),
inference(resolve,[$cnf( $equal(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),
inference(resolve,[$cnf( $equal(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(X_71,f(X_71,X_71)))) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
( f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) != f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71))))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) != f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))) ),
inference(subst,[],[refute_0_81:[bind(X,$fot(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))))),bind(Y,$fot(f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))))),bind(Z,$fot(f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71))))))]]) ).
cnf(refute_0_281,plain,
( f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) != f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71))))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))) ),
inference(resolve,[$cnf( $equal(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71)))))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))),
inference(resolve,[$cnf( $equal(f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71))))) )],[refute_0_271,refute_0_281]) ).
cnf(refute_0_283,plain,
( f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))) != f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71))))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) != f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71))))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71)))) ),
inference(subst,[],[refute_0_81:[bind(X,$fot(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))))),bind(Y,$fot(f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))))),bind(Z,$fot(f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71))))))]]) ).
cnf(refute_0_284,plain,
( f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))) != f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71))))
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71)))) ),
inference(resolve,[$cnf( $equal(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71))))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) = f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71)))),
inference(resolve,[$cnf( $equal(f(f(X_56,f(X_71,f(X_71,X_71))),f(X_56,f(X_71,f(X_71,X_71)))),f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71))))) )],[refute_0_260,refute_0_284]) ).
cnf(refute_0_286,plain,
( f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) != X_56
| f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) != f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71))))
| f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71)))) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),X_56) ),[0],$fot(f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71)))))]]) ).
cnf(refute_0_287,plain,
( f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))) != X_56
| f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71)))) = X_56 ),
inference(resolve,[$cnf( $equal(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71))))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
f(f(X_71,f(X_71,X_71)),f(X_56,f(X_71,f(X_71,X_71)))) = X_56,
inference(resolve,[$cnf( $equal(f(f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))))),f(X_56,f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),f(X_71,f(X_71,X_71))))),X_56) )],[refute_0_245,refute_0_287]) ).
cnf(refute_0_289,plain,
f(f(X_75,f(X_75,X_75)),f(f(X_71,f(X_71,X_71)),f(X_75,f(X_75,X_75)))) = f(X_71,f(X_71,X_71)),
inference(subst,[],[refute_0_288:[bind(X_56,$fot(f(X_71,f(X_71,X_71)))),bind(X_71,$fot(X_75))]]) ).
cnf(refute_0_290,plain,
f(f(X_71,f(X_71,X_71)),f(X_75,f(X_75,X_75))) = f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75))),
inference(subst,[],[refute_0_257:[bind(X_32,$fot(f(X_75,f(X_75,X_75))))]]) ).
cnf(refute_0_291,plain,
( f(f(X_71,f(X_71,X_71)),f(X_75,f(X_75,X_75))) != f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))
| f(f(X_75,f(X_75,X_75)),f(f(X_71,f(X_71,X_71)),f(X_75,f(X_75,X_75)))) != f(X_71,f(X_71,X_71))
| f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))) = f(X_71,f(X_71,X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_75,f(X_75,X_75)),f(f(X_71,f(X_71,X_71)),f(X_75,f(X_75,X_75)))),f(X_71,f(X_71,X_71))) ),[0,1],$fot(f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75))))]]) ).
cnf(refute_0_292,plain,
( f(f(X_75,f(X_75,X_75)),f(f(X_71,f(X_71,X_71)),f(X_75,f(X_75,X_75)))) != f(X_71,f(X_71,X_71))
| f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))) = f(X_71,f(X_71,X_71)) ),
inference(resolve,[$cnf( $equal(f(f(X_71,f(X_71,X_71)),f(X_75,f(X_75,X_75))),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))) = f(X_71,f(X_71,X_71)),
inference(resolve,[$cnf( $equal(f(f(X_75,f(X_75,X_75)),f(f(X_71,f(X_71,X_71)),f(X_75,f(X_75,X_75)))),f(X_71,f(X_71,X_71))) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30),f(X_30,X_30)) = X_30,
inference(subst,[],[refute_0_161:[bind(X_29,$fot(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71)))))]]) ).
cnf(refute_0_295,plain,
f(X_71,f(X_71,X_71)) = f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30),
inference(subst,[],[refute_0_239:[bind(D,$fot(X_30)),bind(X_60,$fot(X_71))]]) ).
cnf(refute_0_296,plain,
( f(X_71,f(X_71,X_71)) != f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30)
| f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30) = f(X_71,f(X_71,X_71)) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(f(X_71,f(X_71,X_71)))),bind(Y,$fot(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30)))]]) ).
cnf(refute_0_297,plain,
f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30) = f(X_71,f(X_71,X_71)),
inference(resolve,[$cnf( $equal(f(X_71,f(X_71,X_71)),f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
( f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30) != f(X_71,f(X_71,X_71))
| f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30),f(X_30,X_30)) != X_30
| f(f(X_71,f(X_71,X_71)),f(X_30,X_30)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30),f(X_30,X_30)),X_30) ),[0,0],$fot(f(X_71,f(X_71,X_71)))]]) ).
cnf(refute_0_299,plain,
( f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30),f(X_30,X_30)) != X_30
| f(f(X_71,f(X_71,X_71)),f(X_30,X_30)) = X_30 ),
inference(resolve,[$cnf( $equal(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30),f(X_71,f(X_71,X_71))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
f(f(X_71,f(X_71,X_71)),f(X_30,X_30)) = X_30,
inference(resolve,[$cnf( $equal(f(f(f(f(X_71,f(X_71,X_71)),f(X_71,f(X_71,X_71))),X_30),f(X_30,X_30)),X_30) )],[refute_0_294,refute_0_299]) ).
cnf(refute_0_301,plain,
f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))) = f(X_75,f(X_75,X_75)),
inference(subst,[],[refute_0_300:[bind(X_30,$fot(f(X_75,f(X_75,X_75)))),bind(X_71,$fot(X_75))]]) ).
cnf(refute_0_302,plain,
( f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))) != f(X_71,f(X_71,X_71))
| f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))) != f(X_75,f(X_75,X_75))
| f(X_75,f(X_75,X_75)) = f(X_71,f(X_71,X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))),f(X_71,f(X_71,X_71))) ),[0],$fot(f(X_75,f(X_75,X_75)))]]) ).
cnf(refute_0_303,plain,
( f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))) != f(X_71,f(X_71,X_71))
| f(X_75,f(X_75,X_75)) = f(X_71,f(X_71,X_71)) ),
inference(resolve,[$cnf( $equal(f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))),f(X_75,f(X_75,X_75))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
f(X_75,f(X_75,X_75)) = f(X_71,f(X_71,X_71)),
inference(resolve,[$cnf( $equal(f(f(X_75,f(X_75,X_75)),f(f(X_75,f(X_75,X_75)),f(X_75,f(X_75,X_75)))),f(X_71,f(X_71,X_71))) )],[refute_0_293,refute_0_303]) ).
cnf(refute_0_305,plain,
f(x0,f(x0,x0)) = f(X_76,f(X_76,X_76)),
inference(subst,[],[refute_0_304:[bind(X_71,$fot(X_76)),bind(X_75,$fot(x0))]]) ).
cnf(refute_0_306,plain,
( f(X_76,f(X_76,X_76)) != f(x1,f(x1,x1))
| f(x0,f(x0,x0)) != f(X_76,f(X_76,X_76))
| f(x0,f(x0,x0)) = f(x1,f(x1,x1)) ),
introduced(tautology,[equality,[$cnf( $equal(f(x0,f(x0,x0)),f(X_76,f(X_76,X_76))) ),[1],$fot(f(x1,f(x1,x1)))]]) ).
cnf(refute_0_307,plain,
( f(X_76,f(X_76,X_76)) != f(x1,f(x1,x1))
| f(x0,f(x0,x0)) = f(x1,f(x1,x1)) ),
inference(resolve,[$cnf( $equal(f(x0,f(x0,x0)),f(X_76,f(X_76,X_76))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
f(X_76,f(X_76,X_76)) != f(x1,f(x1,x1)),
inference(resolve,[$cnf( $equal(f(x0,f(x0,x0)),f(x1,f(x1,x1))) )],[refute_0_307,goals]) ).
cnf(refute_0_309,plain,
( f(X_75,f(X_75,X_75)) != f(X_71,f(X_71,X_71))
| f(X_71,f(X_71,X_71)) = f(X_75,f(X_75,X_75)) ),
inference(subst,[],[refute_0_52:[bind(X,$fot(f(X_75,f(X_75,X_75)))),bind(Y,$fot(f(X_71,f(X_71,X_71))))]]) ).
cnf(refute_0_310,plain,
f(X_71,f(X_71,X_71)) = f(X_75,f(X_75,X_75)),
inference(resolve,[$cnf( $equal(f(X_75,f(X_75,X_75)),f(X_71,f(X_71,X_71))) )],[refute_0_304,refute_0_309]) ).
cnf(refute_0_311,plain,
f(X_76,f(X_76,X_76)) = f(x1,f(x1,x1)),
inference(subst,[],[refute_0_310:[bind(X_71,$fot(X_76)),bind(X_75,$fot(x1))]]) ).
cnf(refute_0_312,plain,
$false,
inference(resolve,[$cnf( $equal(f(X_76,f(X_76,X_76)),f(x1,f(x1,x1))) )],[refute_0_311,refute_0_308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT394-2 : TPTP v8.1.0. Released v5.4.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 20:19:53 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.07/1.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.30
% 1.07/1.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.23/1.39
%------------------------------------------------------------------------------