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Twee---2.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:45:46 AM UTC 2026

% Result   : Unsatisfiable 1.66s 0.69s
% Output   : CNFRefutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  147 ( 147 unt;   0 nHn;   4 RR)
%            Number of literals    :  147 ( 146 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :  328 (  30 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
    f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c2,axiom,
    f(f(f(f(A,B),f(B,C)),D),f(B,f(f(B,f(f(A,A),A)),C))) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).

cnf(c3,plain,
    f(f(f(f(X2,X3),f(X3,X)),X3),f(X3,f(f(X3,f(f(X2,X2),X2)),X))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c4,plain,
    X3 = f(f(f(f(X2,X3),f(X3,X)),X3),f(X3,f(f(X3,f(f(X2,X2),X2)),X))),
    inference(symmetry,[status(thm)],[c3]) ).

cnf(c5,plain,
    f(X3,X3) = f(f(f(f(f(X2,X3),f(X3,X)),X3),f(X3,f(f(X3,f(f(X2,X2),X2)),X))),X3),
    inference(congruence,[status(thm)],[c4]) ).

cnf(c6,plain,
    f(f(X3,X3),f(X3,X3)) = f(f(f(f(f(f(X2,X3),f(X3,X)),X3),f(X3,f(f(X3,f(f(X2,X2),X2)),X))),X3),f(X3,X3)),
    inference(congruence,[status(thm)],[c5]) ).

cnf(c7,plain,
    f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,f(f(X2,f(f(X3,X3),X3)),X))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c8,plain,
    X2 = f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,f(f(X2,f(f(X3,X3),X3)),X))),
    inference(symmetry,[status(thm)],[c7]) ).

cnf(c9,plain,
    f(X2,X2) = f(f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,f(f(X2,f(f(X3,X3),X3)),X))),X2),
    inference(congruence,[status(thm)],[c8]) ).

cnf(c10,plain,
    f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,X2)) = f(f(f(f(X3,X2),f(X2,X)),X2),f(f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,f(f(X2,f(f(X3,X3),X3)),X))),X2)),
    inference(congruence,[status(thm)],[c9]) ).

cnf(c11,plain,
    f(f(f(f(X3,X2),f(X2,X)),f(f(f(X4,f(X3,X2)),f(X4,f(X3,X2))),f(X4,f(X3,X2)))),f(X2,f(f(X2,f(f(X3,X3),X3)),X))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c12,plain,
    X3 = f(f(f(f(X4,X3),f(X3,X2)),f(f(f(X,f(X4,X3)),f(X,f(X4,X3))),f(X,f(X4,X3)))),f(X3,f(f(X3,f(f(X4,X4),X4)),X2))),
    inference(symmetry,[status(thm)],[c11]) ).

cnf(c13,plain,
    f(f(f(X4,X3),f(X3,X2)),X3) = f(f(f(X4,X3),f(X3,X2)),f(f(f(f(X4,X3),f(X3,X2)),f(f(f(X,f(X4,X3)),f(X,f(X4,X3))),f(X,f(X4,X3)))),f(X3,f(f(X3,f(f(X4,X4),X4)),X2)))),
    inference(congruence,[status(thm)],[c12]) ).

cnf(c14,plain,
    f(f(X4,X3),f(f(f(X4,X3),f(X3,X2)),X3)) = f(f(X4,X3),f(f(f(X4,X3),f(X3,X2)),f(f(f(f(X4,X3),f(X3,X2)),f(f(f(X,f(X4,X3)),f(X,f(X4,X3))),f(X,f(X4,X3)))),f(X3,f(f(X3,f(f(X4,X4),X4)),X2))))),
    inference(congruence,[status(thm)],[c13]) ).

cnf(c15,plain,
    f(f(f(f(X2,X4),f(X4,X3)),f(f(X4,X3),X)),f(X4,f(f(X4,f(f(X2,X2),X2)),X3))) = X4,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c16,plain,
    X4 = f(f(f(f(X2,X4),f(X4,X3)),f(f(X4,X3),X)),f(X4,f(f(X4,f(f(X2,X2),X2)),X3))),
    inference(symmetry,[status(thm)],[c15]) ).

cnf(c17,plain,
    f(X4,f(f(X4,X3),f(f(f(X4,X3),f(f(f(X2,X4),f(X2,X4)),f(X2,X4))),X))) = f(f(f(f(f(X2,X4),f(X4,X3)),f(f(X4,X3),X)),f(X4,f(f(X4,f(f(X2,X2),X2)),X3))),f(f(X4,X3),f(f(f(X4,X3),f(f(f(X2,X4),f(X2,X4)),f(X2,X4))),X))),
    inference(congruence,[status(thm)],[c16]) ).

cnf(c18,plain,
    f(f(f(f(f(X2,X4),f(X4,X3)),f(f(X4,X3),X)),f(X4,f(f(X4,f(f(X2,X2),X2)),X3))),f(f(X4,X3),f(f(f(X4,X3),f(f(f(X2,X4),f(X2,X4)),f(X2,X4))),X))) = f(X4,X3),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c19,plain,
    f(X4,f(f(X4,X3),f(f(f(X4,X3),f(f(f(X2,X4),f(X2,X4)),f(X2,X4))),X))) = f(X4,X3),
    inference(transitivity,[status(thm)],[c17,c18]) ).

cnf(c20,plain,
    f(f(X4,X3),f(f(f(X4,X3),f(X3,X2)),f(f(f(f(X4,X3),f(X3,X2)),f(f(f(X,f(X4,X3)),f(X,f(X4,X3))),f(X,f(X4,X3)))),f(X3,f(f(X3,f(f(X4,X4),X4)),X2))))) = f(f(X4,X3),f(X3,X2)),
    inference(substitution,[status(thm)],[c19]) ).

cnf(c21,plain,
    f(f(X3,X2),f(f(f(X3,X2),f(X2,X)),X2)) = f(f(X3,X2),f(X2,X)),
    inference(transitivity,[status(thm)],[c14,c20]) ).

cnf(c22,plain,
    f(f(f(f(X3,X2),f(X2,X)),X2),f(f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,f(f(X2,f(f(X3,X3),X3)),X))),X2)) = f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,f(f(X2,f(f(X3,X3),X3)),X))),
    inference(substitution,[status(thm)],[c21]) ).

cnf(c23,plain,
    f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,f(f(X2,f(f(X3,X3),X3)),X))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c24,plain,
    f(f(f(f(X3,X2),f(X2,X)),X2),f(f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,f(f(X2,f(f(X3,X3),X3)),X))),X2)) = X2,
    inference(transitivity,[status(thm)],[c22,c23]) ).

cnf(c25,plain,
    f(f(f(f(X3,X2),f(X2,X)),X2),f(X2,X2)) = X2,
    inference(transitivity,[status(thm)],[c10,c24]) ).

cnf(c26,plain,
    f(f(f(f(f(f(X2,X3),f(X3,X)),X3),f(X3,f(f(X3,f(f(X2,X2),X2)),X))),X3),f(X3,X3)) = X3,
    inference(substitution,[status(thm)],[c25]) ).

cnf(c27,plain,
    f(f(X,X),f(X,X)) = X,
    inference(transitivity,[status(thm)],[c6,c26]) ).

cnf(c28,plain,
    X = f(f(X,X),f(X,X)),
    inference(symmetry,[status(thm)],[c27]) ).

cnf(c29,plain,
    f(f(X,f(X,X)),X2) = f(f(X,f(X,X)),f(f(X2,X2),f(X2,X2))),
    inference(congruence,[status(thm)],[c28]) ).

cnf(c30,plain,
    X = f(f(X,X),f(X,X)),
    inference(symmetry,[status(thm)],[c27]) ).

cnf(c31,plain,
    f(X2,X) = f(f(f(X2,X2),f(X2,X2)),X),
    inference(congruence,[status(thm)],[c30]) ).

cnf(c32,plain,
    f(f(X2,X),f(X2,X)) = f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),X)),
    inference(congruence,[status(thm)],[c31]) ).

cnf(c33,plain,
    f(f(X2,X),f(f(X2,X),f(X2,X))) = f(f(X2,X),f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),X))),
    inference(congruence,[status(thm)],[c32]) ).

cnf(c34,plain,
    f(X2,f(f(X2,X),f(f(X2,X),f(X2,X)))) = f(X2,f(f(X2,X),f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),X)))),
    inference(congruence,[status(thm)],[c33]) ).

cnf(c35,plain,
    f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))) = f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),X))))),
    inference(congruence,[status(thm)],[c34]) ).

cnf(c36,plain,
    X = f(f(X,X),f(X,X)),
    inference(symmetry,[status(thm)],[c27]) ).

cnf(c37,plain,
    f(X2,X) = f(f(f(X2,X2),f(X2,X2)),X),
    inference(congruence,[status(thm)],[c36]) ).

cnf(c38,plain,
    f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),X)) = f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X)),
    inference(congruence,[status(thm)],[c37]) ).

cnf(c39,plain,
    f(f(X2,X),f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),X))) = f(f(X2,X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))),
    inference(congruence,[status(thm)],[c38]) ).

cnf(c40,plain,
    f(X2,f(f(X2,X),f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),X)))) = f(X2,f(f(X2,X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X)))),
    inference(congruence,[status(thm)],[c39]) ).

cnf(c41,plain,
    f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),X))))) = f(f(X2,X),f(X2,f(f(X2,X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))),
    inference(congruence,[status(thm)],[c40]) ).

cnf(c42,plain,
    X = f(f(X,X),f(X,X)),
    inference(symmetry,[status(thm)],[c27]) ).

cnf(c43,plain,
    f(X2,X) = f(f(f(X2,X2),f(X2,X2)),X),
    inference(congruence,[status(thm)],[c42]) ).

cnf(c44,plain,
    f(f(X2,X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))) = f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))),
    inference(congruence,[status(thm)],[c43]) ).

cnf(c45,plain,
    f(X2,f(f(X2,X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X)))) = f(X2,f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X)))),
    inference(congruence,[status(thm)],[c44]) ).

cnf(c46,plain,
    f(f(X2,X),f(X2,f(f(X2,X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))) = f(f(X2,X),f(X2,f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))),
    inference(congruence,[status(thm)],[c45]) ).

cnf(c47,plain,
    X = f(f(X,X),f(X,X)),
    inference(symmetry,[status(thm)],[c27]) ).

cnf(c48,plain,
    f(X2,X) = f(f(f(X2,X2),f(X2,X2)),X),
    inference(congruence,[status(thm)],[c47]) ).

cnf(c49,plain,
    f(f(X2,X),f(X2,f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))) = f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))),
    inference(congruence,[status(thm)],[c48]) ).

cnf(c50,plain,
    f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(X2,f(f(X2,X2),X2)),X2))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c51,plain,
    X2 = f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(X2,f(f(X2,X2),X2)),X2))),
    inference(symmetry,[status(thm)],[c50]) ).

cnf(c52,plain,
    f(X2,f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X)))) = f(f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(X2,f(f(X2,X2),X2)),X2))),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X)))),
    inference(congruence,[status(thm)],[c51]) ).

cnf(c53,plain,
    f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))) = f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(X2,f(f(X2,X2),X2)),X2))),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))),
    inference(congruence,[status(thm)],[c52]) ).

cnf(c54,plain,
    X = f(f(X,X),f(X,X)),
    inference(symmetry,[status(thm)],[c27]) ).

cnf(c55,plain,
    f(X,f(X,X)) = f(f(f(X,X),f(X,X)),f(X,X)),
    inference(congruence,[status(thm)],[c54]) ).

cnf(c56,plain,
    f(f(X2,X),f(X2,f(X2,X2))) = f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),f(X2,X2))),
    inference(congruence,[status(thm)],[c55]) ).

cnf(c57,plain,
    f(X2,f(f(X2,X),f(X2,f(X2,X2)))) = f(X2,f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),f(X2,X2)))),
    inference(congruence,[status(thm)],[c56]) ).

cnf(c58,plain,
    f(f(X4,X3),f(f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))),f(f(f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))),f(f(f(X2,f(X4,X3)),f(X2,f(X4,X3))),f(X2,f(X4,X3)))),X))) = f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))),
    inference(substitution,[status(thm)],[c19]) ).

cnf(c59,plain,
    f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))) = f(f(X4,X3),f(f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))),f(f(f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))),f(f(f(X2,f(X4,X3)),f(X2,f(X4,X3))),f(X2,f(X4,X3)))),X))),
    inference(symmetry,[status(thm)],[c58]) ).

cnf(c60,plain,
    f(X4,f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4)))) = f(X4,f(f(X4,X3),f(f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))),f(f(f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))),f(f(f(X2,f(X4,X3)),f(X2,f(X4,X3))),f(X2,f(X4,X3)))),X)))),
    inference(congruence,[status(thm)],[c59]) ).

cnf(c61,plain,
    f(X4,f(f(X4,X3),f(f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))),f(f(f(f(X4,X3),f(f(f(X4,X4),f(X4,X4)),f(X4,X4))),f(f(f(X2,f(X4,X3)),f(X2,f(X4,X3))),f(X2,f(X4,X3)))),X)))) = f(X4,X3),
    inference(substitution,[status(thm)],[c19]) ).

cnf(c62,plain,
    f(X2,f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),f(X2,X2)))) = f(X2,X),
    inference(transitivity,[status(thm)],[c60,c61]) ).

cnf(c63,plain,
    f(X2,f(f(X2,X),f(X2,f(X2,X2)))) = f(X2,X),
    inference(transitivity,[status(thm)],[c57,c62]) ).

cnf(c64,plain,
    f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(X2,f(f(X2,X2),X2)),X2))),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))) = f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(X2,f(f(X2,X2),X2)),X2))),
    inference(substitution,[status(thm)],[c63]) ).

cnf(c65,plain,
    f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(X2,f(f(X2,X2),X2)),X2))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c66,plain,
    f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(X2,f(f(X2,X2),X2)),X2))),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))) = X2,
    inference(transitivity,[status(thm)],[c64,c65]) ).

cnf(c67,plain,
    f(f(f(f(X2,X2),f(X2,X2)),X),f(X2,f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))) = X2,
    inference(transitivity,[status(thm)],[c53,c66]) ).

cnf(c68,plain,
    f(f(X2,X),f(X2,f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))) = X2,
    inference(transitivity,[status(thm)],[c49,c67]) ).

cnf(c69,plain,
    f(f(X2,X),f(X2,f(f(X2,X),f(f(f(f(X2,X2),f(X2,X2)),X),f(f(f(X2,X2),f(X2,X2)),X))))) = X2,
    inference(transitivity,[status(thm)],[c46,c68]) ).

cnf(c70,plain,
    f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(f(f(X2,X2),f(X2,X2)),X))))) = X2,
    inference(transitivity,[status(thm)],[c41,c69]) ).

cnf(c71,plain,
    f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))) = X2,
    inference(transitivity,[status(thm)],[c35,c70]) ).

cnf(c72,plain,
    f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))) = f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c73,plain,
    f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X) = f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))),
    inference(symmetry,[status(thm)],[c72]) ).

cnf(c74,plain,
    X = f(f(X,X),f(X,X)),
    inference(symmetry,[status(thm)],[c27]) ).

cnf(c75,plain,
    f(f(f(X2,X2),X),X2) = f(f(f(X2,X2),X),f(f(X2,X2),f(X2,X2))),
    inference(congruence,[status(thm)],[c74]) ).

cnf(c76,plain,
    X2 = f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))),
    inference(symmetry,[status(thm)],[c71]) ).

cnf(c77,plain,
    f(X2,X2) = f(X2,f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X)))))),
    inference(congruence,[status(thm)],[c76]) ).

cnf(c78,plain,
    f(f(X2,X),f(X2,X2)) = f(f(X2,X),f(X2,f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))))),
    inference(congruence,[status(thm)],[c77]) ).

cnf(c79,plain,
    X2 = f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))),
    inference(symmetry,[status(thm)],[c71]) ).

cnf(c80,plain,
    f(X2,f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X)))))) = f(f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))),f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X)))))),
    inference(congruence,[status(thm)],[c79]) ).

cnf(c81,plain,
    f(f(X2,X),f(X2,f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))))) = f(f(X2,X),f(f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))),f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))))),
    inference(congruence,[status(thm)],[c80]) ).

cnf(c82,plain,
    f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))))))) = f(X3,X2),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c83,plain,
    f(X3,X2) = f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))))))),
    inference(symmetry,[status(thm)],[c82]) ).

cnf(c84,plain,
    f(f(X3,X2),f(X3,X2)) = f(f(X3,X2),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3)))))))),
    inference(congruence,[status(thm)],[c83]) ).

cnf(c85,plain,
    f(X3,f(f(X3,X2),f(X3,X2))) = f(X3,f(f(X3,X2),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))))))))),
    inference(congruence,[status(thm)],[c84]) ).

cnf(c86,plain,
    f(X3,f(f(X3,X2),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))),f(f(X3,X2),f(f(f(X,X3),f(X,X3)),f(X,X3))))))))) = f(X3,X2),
    inference(substitution,[status(thm)],[c19]) ).

cnf(c87,plain,
    f(X2,f(f(X2,X),f(X2,X))) = f(X2,X),
    inference(transitivity,[status(thm)],[c85,c86]) ).

cnf(c88,plain,
    f(f(X2,X),f(f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))),f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))))) = f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))),
    inference(substitution,[status(thm)],[c87]) ).

cnf(c89,plain,
    f(f(X2,X),f(f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))),f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))))) = X2,
    inference(transitivity,[status(thm)],[c88,c71]) ).

cnf(c90,plain,
    f(f(X2,X),f(X2,f(f(X2,X),f(X2,f(f(X2,X),f(f(X2,X),f(X2,X))))))) = X2,
    inference(transitivity,[status(thm)],[c81,c89]) ).

cnf(c91,plain,
    f(f(X2,X),f(X2,X2)) = X2,
    inference(transitivity,[status(thm)],[c78,c90]) ).

cnf(c92,plain,
    f(f(f(X2,X2),X),f(f(X2,X2),f(X2,X2))) = f(X2,X2),
    inference(substitution,[status(thm)],[c91]) ).

cnf(c93,plain,
    f(f(f(X2,X2),X),X2) = f(X2,X2),
    inference(transitivity,[status(thm)],[c75,c92]) ).

cnf(c94,plain,
    f(f(f(f(X,f(X,X)),f(X,f(X,X))),X),f(X,f(X,X))) = f(f(X,f(X,X)),f(X,f(X,X))),
    inference(substitution,[status(thm)],[c93]) ).

cnf(c95,plain,
    f(f(X,f(X,X)),f(X,f(X,X))) = f(f(f(f(X,f(X,X)),f(X,f(X,X))),X),f(X,f(X,X))),
    inference(symmetry,[status(thm)],[c94]) ).

cnf(c96,plain,
    f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X) = f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X2),f(X2,f(X2,X2))),X),
    inference(congruence,[status(thm)],[c95]) ).

cnf(c97,plain,
    f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)) = f(f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X2),f(X2,f(X2,X2))),X),f(X2,X2)),
    inference(congruence,[status(thm)],[c96]) ).

cnf(c98,plain,
    f(f(X,f(f(X2,X2),X2)),f(X,X)) = X,
    inference(substitution,[status(thm)],[c91]) ).

cnf(c99,plain,
    X = f(f(X,f(f(X2,X2),X2)),f(X,X)),
    inference(symmetry,[status(thm)],[c98]) ).

cnf(c100,plain,
    f(X,X) = f(X,f(f(X,f(f(X2,X2),X2)),f(X,X))),
    inference(congruence,[status(thm)],[c99]) ).

cnf(c101,plain,
    f(f(f(f(X3,X2),f(X2,f(X2,X2))),X),f(X2,X2)) = f(f(f(f(X3,X2),f(X2,f(X2,X2))),X),f(X2,f(f(X2,f(f(X3,X3),X3)),f(X2,X2)))),
    inference(congruence,[status(thm)],[c100]) ).

cnf(c102,plain,
    f(f(f(f(X3,X2),f(X2,f(X2,X2))),X),f(X2,f(f(X2,f(f(X3,X3),X3)),f(X2,X2)))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c103,plain,
    f(f(f(f(X3,X2),f(X2,f(X2,X2))),X),f(X2,X2)) = X2,
    inference(transitivity,[status(thm)],[c101,c102]) ).

cnf(c104,plain,
    f(f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X2),f(X2,f(X2,X2))),X),f(X2,X2)) = X2,
    inference(substitution,[status(thm)],[c103]) ).

cnf(c105,plain,
    f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)) = X2,
    inference(transitivity,[status(thm)],[c97,c104]) ).

cnf(c106,plain,
    f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))) = f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))),
    inference(congruence,[status(thm)],[c105]) ).

cnf(c107,plain,
    f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))) = f(X2,f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))),
    inference(congruence,[status(thm)],[c105]) ).

cnf(c108,plain,
    f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2))))) = f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2))))),
    inference(congruence,[status(thm)],[c107]) ).

cnf(c109,plain,
    f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))) = f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))),
    inference(congruence,[status(thm)],[c108]) ).

cnf(c110,plain,
    f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2))) = f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2))),
    inference(congruence,[status(thm)],[c105]) ).

cnf(c111,plain,
    f(X2,f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))) = f(X2,f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))),
    inference(congruence,[status(thm)],[c110]) ).

cnf(c112,plain,
    f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2))))) = f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2))))),
    inference(congruence,[status(thm)],[c111]) ).

cnf(c113,plain,
    f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))) = f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))),
    inference(congruence,[status(thm)],[c112]) ).

cnf(c114,plain,
    f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2))) = f(X2,X2),
    inference(congruence,[status(thm)],[c105]) ).

cnf(c115,plain,
    f(X2,f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))) = f(X2,f(X2,X2)),
    inference(congruence,[status(thm)],[c114]) ).

cnf(c116,plain,
    f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2))))) = f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,X2))),
    inference(congruence,[status(thm)],[c115]) ).

cnf(c117,plain,
    f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))) = f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,X2)))),
    inference(congruence,[status(thm)],[c116]) ).

cnf(c118,plain,
    f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,X2))) = f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),
    inference(substitution,[status(thm)],[c93]) ).

cnf(c119,plain,
    f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,X2)))) = f(X2,f(f(X2,f(X2,X2)),f(X2,f(X2,X2)))),
    inference(congruence,[status(thm)],[c118]) ).

cnf(c120,plain,
    f(X,f(f(X,f(X,X)),f(X,f(X,X)))) = f(X,f(X,X)),
    inference(substitution,[status(thm)],[c63]) ).

cnf(c121,plain,
    f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,X2)))) = f(X2,f(X2,X2)),
    inference(transitivity,[status(thm)],[c119,c120]) ).

cnf(c122,plain,
    f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))) = f(X2,f(X2,X2)),
    inference(transitivity,[status(thm)],[c117,c121]) ).

cnf(c123,plain,
    f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))) = f(X2,f(X2,X2)),
    inference(transitivity,[status(thm)],[c113,c122]) ).

cnf(c124,plain,
    f(X2,f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))) = f(X2,f(X2,X2)),
    inference(transitivity,[status(thm)],[c109,c123]) ).

cnf(c125,plain,
    f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)),f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X2,X2)))))) = f(X2,f(X2,X2)),
    inference(transitivity,[status(thm)],[c106,c124]) ).

cnf(c126,plain,
    f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X) = f(X2,f(X2,X2)),
    inference(transitivity,[status(thm)],[c73,c125]) ).

cnf(c127,plain,
    f(X2,f(X2,X2)) = f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),
    inference(symmetry,[status(thm)],[c126]) ).

cnf(c128,plain,
    f(f(X2,f(X2,X2)),f(X,X)) = f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X,X)),
    inference(congruence,[status(thm)],[c127]) ).

cnf(c129,plain,
    f(f(f(X2,X),f(X,f(X,X))),f(f(X2,X),f(f(f(X2,X),f(X,f(X,X))),f(f(f(X2,X),f(X,f(X,X))),f(f(X2,X),f(X,f(X,X))))))) = f(X2,X),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c130,plain,
    f(X2,X) = f(f(f(X2,X),f(X,f(X,X))),f(f(X2,X),f(f(f(X2,X),f(X,f(X,X))),f(f(f(X2,X),f(X,f(X,X))),f(f(X2,X),f(X,f(X,X))))))),
    inference(symmetry,[status(thm)],[c129]) ).

cnf(c131,plain,
    f(f(X2,X),f(X,X)) = f(f(f(f(X2,X),f(X,f(X,X))),f(f(X2,X),f(f(f(X2,X),f(X,f(X,X))),f(f(f(X2,X),f(X,f(X,X))),f(f(X2,X),f(X,f(X,X))))))),f(X,X)),
    inference(congruence,[status(thm)],[c130]) ).

cnf(c132,plain,
    f(f(f(f(X2,X),f(X,f(X,X))),f(f(X2,X),f(f(f(X2,X),f(X,f(X,X))),f(f(f(X2,X),f(X,f(X,X))),f(f(X2,X),f(X,f(X,X))))))),f(X,X)) = X,
    inference(substitution,[status(thm)],[c103]) ).

cnf(c133,plain,
    f(f(X2,X),f(X,X)) = X,
    inference(transitivity,[status(thm)],[c131,c132]) ).

cnf(c134,plain,
    f(f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),f(X,X)) = X,
    inference(substitution,[status(thm)],[c133]) ).

cnf(c135,plain,
    f(f(X2,f(X2,X2)),f(X,X)) = X,
    inference(transitivity,[status(thm)],[c128,c134]) ).

cnf(c136,plain,
    f(f(X,f(X,X)),f(f(X2,X2),f(X2,X2))) = f(X2,X2),
    inference(substitution,[status(thm)],[c135]) ).

cnf(c137,plain,
    f(f(X,f(X,X)),X2) = f(X2,X2),
    inference(transitivity,[status(thm)],[c29,c136]) ).

cnf(c138,plain,
    f(f(X2,f(X2,X2)),f(X,f(X,X))) = f(f(X,f(X,X)),f(X,f(X,X))),
    inference(substitution,[status(thm)],[c137]) ).

cnf(c139,plain,
    f(f(f(X3,f(X3,X3)),f(X2,f(X2,X2))),X) = f(f(f(X2,f(X2,X2)),f(X2,f(X2,X2))),X),
    inference(congruence,[status(thm)],[c138]) ).

cnf(c140,plain,
    f(f(f(X3,f(X3,X3)),f(X2,f(X2,X2))),X) = f(X2,f(X2,X2)),
    inference(transitivity,[status(thm)],[c139,c126]) ).

cnf(c141,plain,
    f(f(f(X,f(X,X)),f(X2,f(X2,X2))),f(f(X,f(X,X)),f(f(f(X,f(X,X)),f(X2,f(X2,X2))),f(f(f(X,f(X,X)),f(X2,f(X2,X2))),f(f(X,f(X,X)),f(X2,f(X2,X2))))))) = f(X2,f(X2,X2)),
    inference(substitution,[status(thm)],[c140]) ).

cnf(c142,plain,
    f(X2,f(X2,X2)) = f(f(f(X,f(X,X)),f(X2,f(X2,X2))),f(f(X,f(X,X)),f(f(f(X,f(X,X)),f(X2,f(X2,X2))),f(f(f(X,f(X,X)),f(X2,f(X2,X2))),f(f(X,f(X,X)),f(X2,f(X2,X2))))))),
    inference(symmetry,[status(thm)],[c141]) ).

cnf(c143,plain,
    f(f(f(X,f(X,X)),f(X2,f(X2,X2))),f(f(X,f(X,X)),f(f(f(X,f(X,X)),f(X2,f(X2,X2))),f(f(f(X,f(X,X)),f(X2,f(X2,X2))),f(f(X,f(X,X)),f(X2,f(X2,X2))))))) = f(X,f(X,X)),
    inference(substitution,[status(thm)],[c71]) ).

cnf(c144,plain,
    f(X2,f(X2,X2)) = f(X,f(X,X)),
    inference(transitivity,[status(thm)],[c142,c143]) ).

cnf(c145,plain,
    f(x1,f(x1,x1)) = f(x0,f(x0,x0)),
    inference(substitution,[status(thm)],[c144]) ).

cnf(c146,plain,
    f(x0,f(x0,x0)) = f(x1,f(x1,x1)),
    inference(symmetry,[status(thm)],[c145]) ).

cnf(c147,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c146]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n008.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 27 15:15:24 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/0.69  Command-line arguments: --flatten-regeneralise
% 1.66/0.69  
% 1.66/0.69  % SZS status Unsatisfiable
% 1.66/0.69  
% 2.14/0.70  % SZS output start CNFRefutation
% See solution above
% 2.14/0.77  
% 2.14/0.77  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------