%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COL058-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 : Fri Jul 15 00:36:19 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of clauses : 91 ( 45 unt; 0 nHn; 73 RR)
% Number of literals : 157 ( 156 equ; 69 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lark_exists,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)) ).
cnf(prove_the_bird_exists,negated_conjecture,
response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) != response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( response(response(lark,X1),X2) != response(X1,response(X2,X2))
| response(X1,response(X2,X2)) = response(response(lark,X1),X2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(response(response(lark,X1),X2))),bind(Y,$fot(response(X1,response(X2,X2))))]]) ).
cnf(refute_0_4,plain,
response(X1,response(X2,X2)) = response(response(lark,X1),X2),
inference(resolve,[$cnf( $equal(response(response(lark,X1),X2),response(X1,response(X2,X2))) )],[lark_exists,refute_0_3]) ).
cnf(refute_0_5,plain,
response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(lark,lark),response(lark,response(lark,lark))),
inference(subst,[],[refute_0_4:[bind(X1,$fot(lark)),bind(X2,$fot(response(lark,response(lark,lark))))]]) ).
cnf(refute_0_6,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),
introduced(tautology,[refl,[$fot(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_7,plain,
( response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(lark,lark),response(lark,response(lark,lark)))
| response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))
| response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) ),[1,0],$fot(response(response(lark,lark),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_8,plain,
( response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(lark,lark),response(lark,response(lark,lark)))
| response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(resolve,[$cnf( $equal(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,lark),response(lark,response(lark,lark)))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
introduced(tautology,[refl,[$fot(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))))]]) ).
cnf(refute_0_11,plain,
( response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))) ),[1,1],$fot(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_12,plain,
( response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) ),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(resolve,[$cnf( $equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
introduced(tautology,[refl,[$fot(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))))]]) ).
cnf(refute_0_15,plain,
( response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) != response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))
| response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))) ),[1,0],$fot(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_16,plain,
( response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
inference(resolve,[$cnf( $equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) )],[refute_0_9,refute_0_16]) ).
cnf(refute_0_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_18]) ).
cnf(refute_0_20,plain,
( response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))
| response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))))),bind(Y,$fot(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))))),bind(Z,$fot(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))))]]) ).
cnf(refute_0_21,plain,
( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))
| response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) )],[refute_0_13,refute_0_21]) ).
cnf(refute_0_23,plain,
( response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) != response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))
| response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) ),[0],$fot(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))))]]) ).
cnf(refute_0_24,plain,
( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))
| response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) ),[1],$fot(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_26,plain,
( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) )],[refute_0_9,refute_0_25]) ).
cnf(refute_0_27,plain,
( response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) = response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) )],[refute_0_26,refute_0_24]) ).
cnf(refute_0_28,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(resolve,[$cnf( $equal(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))) )],[refute_0_27,prove_the_bird_exists]) ).
cnf(refute_0_29,plain,
response(response(lark,response(X_3,X_3)),X2) = response(response(X_3,X_3),response(X2,X2)),
inference(subst,[],[lark_exists:[bind(X1,$fot(response(X_3,X_3)))]]) ).
cnf(refute_0_30,plain,
response(response(lark,response(X_1,X_1)),X2) = response(response(X_1,X_1),response(X2,X2)),
inference(subst,[],[lark_exists:[bind(X1,$fot(response(X_1,X_1)))]]) ).
cnf(refute_0_31,plain,
response(response(lark,lark),X_1) = response(lark,response(X_1,X_1)),
inference(subst,[],[lark_exists:[bind(X1,$fot(lark)),bind(X2,$fot(X_1))]]) ).
cnf(refute_0_32,plain,
( response(response(lark,lark),X_1) != response(lark,response(X_1,X_1))
| response(lark,response(X_1,X_1)) = response(response(lark,lark),X_1) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(response(response(lark,lark),X_1))),bind(Y,$fot(response(lark,response(X_1,X_1))))]]) ).
cnf(refute_0_33,plain,
response(lark,response(X_1,X_1)) = response(response(lark,lark),X_1),
inference(resolve,[$cnf( $equal(response(response(lark,lark),X_1),response(lark,response(X_1,X_1))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( response(lark,response(X_1,X_1)) != response(response(lark,lark),X_1)
| response(response(lark,response(X_1,X_1)),X2) != response(response(X_1,X_1),response(X2,X2))
| response(response(response(lark,lark),X_1),X2) = response(response(X_1,X_1),response(X2,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,response(X_1,X_1)),X2),response(response(X_1,X_1),response(X2,X2))) ),[0,0],$fot(response(response(lark,lark),X_1))]]) ).
cnf(refute_0_35,plain,
( response(response(lark,response(X_1,X_1)),X2) != response(response(X_1,X_1),response(X2,X2))
| response(response(response(lark,lark),X_1),X2) = response(response(X_1,X_1),response(X2,X2)) ),
inference(resolve,[$cnf( $equal(response(lark,response(X_1,X_1)),response(response(lark,lark),X_1)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
response(response(response(lark,lark),X_1),X2) = response(response(X_1,X_1),response(X2,X2)),
inference(resolve,[$cnf( $equal(response(response(lark,response(X_1,X_1)),X2),response(response(X_1,X_1),response(X2,X2))) )],[refute_0_30,refute_0_35]) ).
cnf(refute_0_37,plain,
response(response(response(lark,lark),X_3),X2) = response(response(X_3,X_3),response(X2,X2)),
inference(subst,[],[refute_0_36:[bind(X_1,$fot(X_3))]]) ).
cnf(refute_0_38,plain,
( response(response(response(lark,lark),X_3),X2) != response(response(X_3,X_3),response(X2,X2))
| response(response(X_3,X_3),response(X2,X2)) = response(response(response(lark,lark),X_3),X2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(response(response(response(lark,lark),X_3),X2))),bind(Y,$fot(response(response(X_3,X_3),response(X2,X2))))]]) ).
cnf(refute_0_39,plain,
response(response(X_3,X_3),response(X2,X2)) = response(response(response(lark,lark),X_3),X2),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),X_3),X2),response(response(X_3,X_3),response(X2,X2))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( response(response(X_3,X_3),response(X2,X2)) != response(response(response(lark,lark),X_3),X2)
| response(response(lark,response(X_3,X_3)),X2) != response(response(X_3,X_3),response(X2,X2))
| response(response(lark,response(X_3,X_3)),X2) = response(response(response(lark,lark),X_3),X2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,response(X_3,X_3)),X2),response(response(X_3,X_3),response(X2,X2))) ),[1],$fot(response(response(response(lark,lark),X_3),X2))]]) ).
cnf(refute_0_41,plain,
( response(response(lark,response(X_3,X_3)),X2) != response(response(X_3,X_3),response(X2,X2))
| response(response(lark,response(X_3,X_3)),X2) = response(response(response(lark,lark),X_3),X2) ),
inference(resolve,[$cnf( $equal(response(response(X_3,X_3),response(X2,X2)),response(response(response(lark,lark),X_3),X2)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
response(response(lark,response(X_3,X_3)),X2) = response(response(response(lark,lark),X_3),X2),
inference(resolve,[$cnf( $equal(response(response(lark,response(X_3,X_3)),X2),response(response(X_3,X_3),response(X2,X2))) )],[refute_0_29,refute_0_41]) ).
cnf(refute_0_43,plain,
( response(response(lark,response(X_3,X_3)),X2) != response(response(response(lark,lark),X_3),X2)
| response(response(response(lark,lark),X_3),X2) = response(response(lark,response(X_3,X_3)),X2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(response(response(lark,response(X_3,X_3)),X2))),bind(Y,$fot(response(response(response(lark,lark),X_3),X2)))]]) ).
cnf(refute_0_44,plain,
response(response(response(lark,lark),X_3),X2) = response(response(lark,response(X_3,X_3)),X2),
inference(resolve,[$cnf( $equal(response(response(lark,response(X_3,X_3)),X2),response(response(response(lark,lark),X_3),X2)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
response(response(response(lark,lark),lark),response(lark,response(lark,lark))) = response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),
inference(subst,[],[refute_0_44:[bind(X2,$fot(response(lark,response(lark,lark)))),bind(X_3,$fot(lark))]]) ).
cnf(refute_0_46,plain,
( response(response(response(lark,lark),X_1),X2) != response(response(X_1,X_1),response(X2,X2))
| response(response(X_1,X_1),response(X2,X2)) = response(response(response(lark,lark),X_1),X2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(response(response(response(lark,lark),X_1),X2))),bind(Y,$fot(response(response(X_1,X_1),response(X2,X2))))]]) ).
cnf(refute_0_47,plain,
response(response(X_1,X_1),response(X2,X2)) = response(response(response(lark,lark),X_1),X2),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),X_1),X2),response(response(X_1,X_1),response(X2,X2))) )],[refute_0_36,refute_0_46]) ).
cnf(refute_0_48,plain,
response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(response(lark,lark),lark),response(lark,response(lark,lark))),
inference(subst,[],[refute_0_47:[bind(X2,$fot(response(lark,response(lark,lark)))),bind(X_1,$fot(lark))]]) ).
cnf(refute_0_49,plain,
( response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(response(lark,lark),lark),response(lark,response(lark,lark)))
| response(response(response(lark,lark),lark),response(lark,response(lark,lark))) != response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))
| response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(lark,response(lark,lark)),response(lark,response(lark,lark))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),bind(Y,$fot(response(response(response(lark,lark),lark),response(lark,response(lark,lark))))),bind(Z,$fot(response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))]]) ).
cnf(refute_0_50,plain,
( response(response(response(lark,lark),lark),response(lark,response(lark,lark))) != response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))
| response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(lark,response(lark,lark)),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(response(lark,lark),lark),response(lark,response(lark,lark)))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),lark),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) )],[refute_0_45,refute_0_50]) ).
cnf(refute_0_52,plain,
response(response(lark,X1),response(X_3,X_3)) = response(X1,response(response(X_3,X_3),response(X_3,X_3))),
inference(subst,[],[lark_exists:[bind(X2,$fot(response(X_3,X_3)))]]) ).
cnf(refute_0_53,plain,
response(response(response(lark,lark),X_3),X_3) = response(response(X_3,X_3),response(X_3,X_3)),
inference(subst,[],[refute_0_36:[bind(X2,$fot(X_3)),bind(X_1,$fot(X_3))]]) ).
cnf(refute_0_54,plain,
( response(response(response(lark,lark),X_3),X_3) != response(response(X_3,X_3),response(X_3,X_3))
| response(response(X_3,X_3),response(X_3,X_3)) = response(response(response(lark,lark),X_3),X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(response(response(response(lark,lark),X_3),X_3))),bind(Y,$fot(response(response(X_3,X_3),response(X_3,X_3))))]]) ).
cnf(refute_0_55,plain,
response(response(X_3,X_3),response(X_3,X_3)) = response(response(response(lark,lark),X_3),X_3),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),X_3),X_3),response(response(X_3,X_3),response(X_3,X_3))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( response(response(X_3,X_3),response(X_3,X_3)) != response(response(response(lark,lark),X_3),X_3)
| response(response(lark,X1),response(X_3,X_3)) != response(X1,response(response(X_3,X_3),response(X_3,X_3)))
| response(response(lark,X1),response(X_3,X_3)) = response(X1,response(response(response(lark,lark),X_3),X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,X1),response(X_3,X_3)),response(X1,response(response(X_3,X_3),response(X_3,X_3)))) ),[1,1],$fot(response(response(response(lark,lark),X_3),X_3))]]) ).
cnf(refute_0_57,plain,
( response(response(lark,X1),response(X_3,X_3)) != response(X1,response(response(X_3,X_3),response(X_3,X_3)))
| response(response(lark,X1),response(X_3,X_3)) = response(X1,response(response(response(lark,lark),X_3),X_3)) ),
inference(resolve,[$cnf( $equal(response(response(X_3,X_3),response(X_3,X_3)),response(response(response(lark,lark),X_3),X_3)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
response(response(lark,X1),response(X_3,X_3)) = response(X1,response(response(response(lark,lark),X_3),X_3)),
inference(resolve,[$cnf( $equal(response(response(lark,X1),response(X_3,X_3)),response(X1,response(response(X_3,X_3),response(X_3,X_3)))) )],[refute_0_52,refute_0_57]) ).
cnf(refute_0_59,plain,
( response(response(lark,X1),response(X_3,X_3)) != response(X1,response(response(response(lark,lark),X_3),X_3))
| response(X1,response(response(response(lark,lark),X_3),X_3)) = response(response(lark,X1),response(X_3,X_3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(response(response(lark,X1),response(X_3,X_3)))),bind(Y,$fot(response(X1,response(response(response(lark,lark),X_3),X_3))))]]) ).
cnf(refute_0_60,plain,
response(X1,response(response(response(lark,lark),X_3),X_3)) = response(response(lark,X1),response(X_3,X_3)),
inference(resolve,[$cnf( $equal(response(response(lark,X1),response(X_3,X_3)),response(X1,response(response(response(lark,lark),X_3),X_3))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(subst,[],[refute_0_60:[bind(X1,$fot(lark)),bind(X_3,$fot(response(lark,response(lark,lark))))]]) ).
cnf(refute_0_62,plain,
( response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))
| response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))
| response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(lark,lark)),response(lark,response(lark,lark))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))))),bind(Y,$fot(response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),bind(Z,$fot(response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))]]) ).
cnf(refute_0_63,plain,
( response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))
| response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(lark,lark)),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),
inference(resolve,[$cnf( $equal(response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) )],[refute_0_51,refute_0_63]) ).
cnf(refute_0_65,plain,
response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) = response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),
introduced(tautology,[refl,[$fot(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))))]]) ).
cnf(refute_0_66,plain,
( response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) != response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))))
| response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))
| response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) = response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) ),
introduced(tautology,[equality,[$cnf( $equal(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))))) ),[1,1],$fot(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_67,plain,
( response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))
| response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) = response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) ),
inference(resolve,[$cnf( $equal(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) = response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(resolve,[$cnf( $equal(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
( response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) != response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))
| response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(lark,lark),response(lark,response(lark,lark)))
| response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) = response(response(lark,lark),response(lark,response(lark,lark))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))))),bind(Y,$fot(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),bind(Z,$fot(response(response(lark,lark),response(lark,response(lark,lark)))))]]) ).
cnf(refute_0_70,plain,
( response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(lark,lark),response(lark,response(lark,lark)))
| response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) = response(response(lark,lark),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) = response(response(lark,lark),response(lark,response(lark,lark))),
inference(resolve,[$cnf( $equal(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,lark),response(lark,response(lark,lark)))) )],[refute_0_5,refute_0_70]) ).
cnf(refute_0_72,plain,
response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
introduced(tautology,[refl,[$fot(response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_73,plain,
( response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) != response(response(lark,lark),response(lark,response(lark,lark)))
| response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))
| response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))) ),[1,0],$fot(response(response(lark,lark),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_74,plain,
( response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))) != response(response(lark,lark),response(lark,response(lark,lark)))
| response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(resolve,[$cnf( $equal(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(response(lark,lark),response(lark,response(lark,lark)))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) = response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(subst,[],[refute_0_4:[bind(X1,$fot(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))))),bind(X2,$fot(response(lark,response(lark,lark))))]]) ).
cnf(refute_0_77,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),
inference(subst,[],[refute_0_60:[bind(X1,$fot(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),bind(X_3,$fot(response(lark,response(lark,lark))))]]) ).
cnf(refute_0_78,plain,
( response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))))),bind(Y,$fot(response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),bind(Z,$fot(response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))))]]) ).
cnf(refute_0_79,plain,
( response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),
inference(resolve,[$cnf( $equal(response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))))),bind(Y,$fot(response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))))),bind(Z,$fot(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))))]]) ).
cnf(refute_0_82,plain,
( response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(resolve,[$cnf( $equal(response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) )],[refute_0_75,refute_0_82]) ).
cnf(refute_0_84,plain,
( response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) ),[0,0],$fot(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_85,plain,
( response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))
| response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) )],[refute_0_85,refute_0_28]) ).
cnf(refute_0_87,plain,
response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
introduced(tautology,[refl,[$fot(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))]]) ).
cnf(refute_0_88,plain,
$false,
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) )],[refute_0_87,refute_0_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL058-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 13:43:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.40
%------------------------------------------------------------------------------