TSTP Solution File: LAT090-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 05:59:51 EDT 2022
% Result : Unsatisfiable 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 39
% Syntax : Number of clauses : 112 ( 56 unt; 0 nHn; 60 RR)
% Number of literals : 196 ( 195 equ; 86 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 241 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_1,axiom,
join(meet(A,B),meet(A,join(A,B))) = A ).
cnf(wal_absorbtion_3,axiom,
join(meet(A,B),meet(B,join(A,B))) = B ).
cnf(wal_absorbtion_4,axiom,
meet(meet(join(A,B),join(C,A)),A) = A ).
cnf(wal_absorbtion_5,axiom,
join(join(meet(A,B),meet(C,A)),A) = A ).
cnf(prove_normal_axioms_3,negated_conjecture,
join(a,a) != a ).
cnf(refute_0_0,plain,
join(meet(meet(join(B,X_15),B),B),meet(B,join(meet(join(B,X_15),B),B))) = B,
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(meet(join(B,X_15),B)))]]) ).
cnf(refute_0_1,plain,
meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9) = X_9,
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(X_9)),bind(B,$fot(X_10)),bind(C,$fot(join(meet(X_9,B),meet(C,X_9))))]]) ).
cnf(refute_0_2,plain,
join(join(meet(X_9,B),meet(C,X_9)),X_9) = X_9,
inference(subst,[],[wal_absorbtion_5:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_3,plain,
( join(join(meet(X_9,B),meet(C,X_9)),X_9) != X_9
| meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9) != X_9
| meet(meet(join(X_9,X_10),X_9),X_9) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9),X_9) ),[0,0,1],$fot(X_9)]]) ).
cnf(refute_0_4,plain,
( meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9) != X_9
| meet(meet(join(X_9,X_10),X_9),X_9) = X_9 ),
inference(resolve,[$cnf( $equal(join(join(meet(X_9,B),meet(C,X_9)),X_9),X_9) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
meet(meet(join(X_9,X_10),X_9),X_9) = X_9,
inference(resolve,[$cnf( $equal(meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9),X_9) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
meet(meet(join(B,X_15),B),B) = B,
inference(subst,[],[refute_0_5:[bind(X_10,$fot(X_15)),bind(X_9,$fot(B))]]) ).
cnf(refute_0_7,plain,
( join(meet(meet(join(B,X_15),B),B),meet(B,join(meet(join(B,X_15),B),B))) != B
| meet(meet(join(B,X_15),B),B) != B
| join(B,meet(B,join(meet(join(B,X_15),B),B))) = B ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(join(B,X_15),B),B),meet(B,join(meet(join(B,X_15),B),B))),B) ),[0,0],$fot(B)]]) ).
cnf(refute_0_8,plain,
( join(meet(meet(join(B,X_15),B),B),meet(B,join(meet(join(B,X_15),B),B))) != B
| join(B,meet(B,join(meet(join(B,X_15),B),B))) = B ),
inference(resolve,[$cnf( $equal(meet(meet(join(B,X_15),B),B),B) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
join(B,meet(B,join(meet(join(B,X_15),B),B))) = B,
inference(resolve,[$cnf( $equal(join(meet(meet(join(B,X_15),B),B),meet(B,join(meet(join(B,X_15),B),B))),B) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))) = meet(A,B),
inference(subst,[],[wal_absorbtion_1:[bind(A,$fot(meet(A,B))),bind(B,$fot(meet(B,join(A,B))))]]) ).
cnf(refute_0_11,plain,
( join(meet(A,B),meet(B,join(A,B))) != B
| join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))) != meet(A,B)
| join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))),meet(A,B)) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_12,plain,
( join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))) != meet(A,B)
| join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(B,join(A,B))),B) )],[wal_absorbtion_3,refute_0_11]) ).
cnf(refute_0_13,plain,
join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) = meet(A,B),
inference(resolve,[$cnf( $equal(join(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))),meet(A,B)) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(meet(meet(join(X_23,X_10),X_23),X_23),X_23)) = meet(meet(join(X_23,X_10),X_23),X_23),
inference(subst,[],[refute_0_13:[bind(A,$fot(meet(join(X_23,X_10),X_23))),bind(B,$fot(X_23))]]) ).
cnf(refute_0_15,plain,
meet(meet(join(X_23,X_10),X_23),X_23) = X_23,
inference(subst,[],[refute_0_5:[bind(X_9,$fot(X_23))]]) ).
cnf(refute_0_16,plain,
( join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(meet(meet(join(X_23,X_10),X_23),X_23),X_23)) != meet(meet(join(X_23,X_10),X_23),X_23)
| meet(meet(join(X_23,X_10),X_23),X_23) != X_23
| join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = meet(meet(join(X_23,X_10),X_23),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(meet(meet(join(X_23,X_10),X_23),X_23),X_23)),meet(meet(join(X_23,X_10),X_23),X_23)) ),[0,1,0],$fot(X_23)]]) ).
cnf(refute_0_17,plain,
( join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(meet(meet(join(X_23,X_10),X_23),X_23),X_23)) != meet(meet(join(X_23,X_10),X_23),X_23)
| join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = meet(meet(join(X_23,X_10),X_23),X_23) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_23,X_10),X_23),X_23),X_23) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = meet(meet(join(X_23,X_10),X_23),X_23),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(meet(meet(join(X_23,X_10),X_23),X_23),X_23)),meet(meet(join(X_23,X_10),X_23),X_23)) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) = meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),
introduced(tautology,[refl,[$fot(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))))]]) ).
cnf(refute_0_20,plain,
( meet(meet(join(X_23,X_10),X_23),X_23) != X_23
| meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) != meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)))
| meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) = meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)))) ),[1,0],$fot(X_23)]]) ).
cnf(refute_0_21,plain,
( meet(meet(join(X_23,X_10),X_23),X_23) != X_23
| meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) = meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) = meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),
inference(resolve,[$cnf( $equal(meet(meet(join(X_23,X_10),X_23),X_23),X_23) )],[refute_0_15,refute_0_21]) ).
cnf(refute_0_23,plain,
join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)))]]) ).
cnf(refute_0_24,plain,
( join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23))
| meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) != meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)))
| join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23))) ),[1,0],$fot(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))))]]) ).
cnf(refute_0_25,plain,
( meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) != meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)))
| join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
( join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23))
| join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != meet(meet(join(X_23,X_10),X_23),X_23)
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = meet(meet(join(X_23,X_10),X_23),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),meet(meet(join(X_23,X_10),X_23),X_23)) ),[0],$fot(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)))]]) ).
cnf(refute_0_28,plain,
( join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != meet(meet(join(X_23,X_10),X_23),X_23)
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = meet(meet(join(X_23,X_10),X_23),X_23) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != meet(meet(join(X_23,X_10),X_23),X_23)
| meet(meet(join(X_23,X_10),X_23),X_23) != X_23
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = X_23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),X_23) ),[0],$fot(meet(meet(join(X_23,X_10),X_23),X_23))]]) ).
cnf(refute_0_30,plain,
( join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != meet(meet(join(X_23,X_10),X_23),X_23)
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_23,X_10),X_23),X_23),X_23) )],[refute_0_15,refute_0_29]) ).
cnf(refute_0_31,plain,
( join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != meet(meet(join(X_23,X_10),X_23),X_23)
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),meet(meet(join(X_23,X_10),X_23),X_23)) )],[refute_0_28,refute_0_30]) ).
cnf(refute_0_32,plain,
join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = X_23,
inference(resolve,[$cnf( $equal(join(meet(meet(meet(join(X_23,X_10),X_23),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),meet(meet(join(X_23,X_10),X_23),X_23)) )],[refute_0_18,refute_0_31]) ).
cnf(refute_0_33,plain,
join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),join(A,meet(A,join(meet(join(A,X_35),A),A))))) = meet(A,join(meet(join(A,X_35),A),A)),
inference(subst,[],[wal_absorbtion_3:[bind(B,$fot(meet(A,join(meet(join(A,X_35),A),A))))]]) ).
cnf(refute_0_34,plain,
join(A,meet(A,join(meet(join(A,X_35),A),A))) = A,
inference(subst,[],[refute_0_9:[bind(B,$fot(A)),bind(X_15,$fot(X_35))]]) ).
cnf(refute_0_35,plain,
( join(A,meet(A,join(meet(join(A,X_35),A),A))) != A
| join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),join(A,meet(A,join(meet(join(A,X_35),A),A))))) != meet(A,join(meet(join(A,X_35),A),A))
| join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) = meet(A,join(meet(join(A,X_35),A),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),join(A,meet(A,join(meet(join(A,X_35),A),A))))),meet(A,join(meet(join(A,X_35),A),A))) ),[0,1,1],$fot(A)]]) ).
cnf(refute_0_36,plain,
( join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),join(A,meet(A,join(meet(join(A,X_35),A),A))))) != meet(A,join(meet(join(A,X_35),A),A))
| join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) = meet(A,join(meet(join(A,X_35),A),A)) ),
inference(resolve,[$cnf( $equal(join(A,meet(A,join(meet(join(A,X_35),A),A))),A) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) = meet(A,join(meet(join(A,X_35),A),A)),
inference(resolve,[$cnf( $equal(join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),join(A,meet(A,join(meet(join(A,X_35),A),A))))),meet(A,join(meet(join(A,X_35),A),A))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
meet(meet(join(A,meet(A,join(meet(join(A,X_35),A),A))),join(C,A)),A) = A,
inference(subst,[],[wal_absorbtion_4:[bind(B,$fot(meet(A,join(meet(join(A,X_35),A),A))))]]) ).
cnf(refute_0_39,plain,
( join(A,meet(A,join(meet(join(A,X_35),A),A))) != A
| meet(meet(join(A,meet(A,join(meet(join(A,X_35),A),A))),join(C,A)),A) != A
| meet(meet(A,join(C,A)),A) = A ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(A,meet(A,join(meet(join(A,X_35),A),A))),join(C,A)),A),A) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_40,plain,
( meet(meet(join(A,meet(A,join(meet(join(A,X_35),A),A))),join(C,A)),A) != A
| meet(meet(A,join(C,A)),A) = A ),
inference(resolve,[$cnf( $equal(join(A,meet(A,join(meet(join(A,X_35),A),A))),A) )],[refute_0_34,refute_0_39]) ).
cnf(refute_0_41,plain,
meet(meet(A,join(C,A)),A) = A,
inference(resolve,[$cnf( $equal(meet(meet(join(A,meet(A,join(meet(join(A,X_35),A),A))),join(C,A)),A),A) )],[refute_0_38,refute_0_40]) ).
cnf(refute_0_42,plain,
meet(meet(A,join(meet(join(A,X_35),A),A)),A) = A,
inference(subst,[],[refute_0_41:[bind(C,$fot(meet(join(A,X_35),A)))]]) ).
cnf(refute_0_43,plain,
join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) = join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)),
introduced(tautology,[refl,[$fot(join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)))]]) ).
cnf(refute_0_44,plain,
( join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) != join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A))
| meet(meet(A,join(meet(join(A,X_35),A),A)),A) != A
| join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) = join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)),join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_45,plain,
( meet(meet(A,join(meet(join(A,X_35),A),A)),A) != A
| join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) = join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),A) ),
inference(resolve,[$cnf( $equal(join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)),join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) = join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),A),
inference(resolve,[$cnf( $equal(meet(meet(A,join(meet(join(A,X_35),A),A)),A),A) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
( join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) != join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),A)
| join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) != meet(A,join(meet(join(A,X_35),A),A))
| join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),A) = meet(A,join(meet(join(A,X_35),A),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)),meet(A,join(meet(join(A,X_35),A),A))) ),[0],$fot(join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),A))]]) ).
cnf(refute_0_48,plain,
( join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)) != meet(A,join(meet(join(A,X_35),A),A))
| join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),A) = meet(A,join(meet(join(A,X_35),A),A)) ),
inference(resolve,[$cnf( $equal(join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)),join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),A)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),A) = meet(A,join(meet(join(A,X_35),A),A)),
inference(resolve,[$cnf( $equal(join(meet(A,meet(A,join(meet(join(A,X_35),A),A))),meet(meet(A,join(meet(join(A,X_35),A),A)),A)),meet(A,join(meet(join(A,X_35),A),A))) )],[refute_0_37,refute_0_48]) ).
cnf(refute_0_50,plain,
join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23) = meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)),
inference(subst,[],[refute_0_49:[bind(A,$fot(X_23)),bind(X_35,$fot(X_10))]]) ).
cnf(refute_0_51,plain,
meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)) = meet(A,B),
inference(subst,[],[refute_0_5:[bind(X_10,$fot(meet(A,join(A,B)))),bind(X_9,$fot(meet(A,B)))]]) ).
cnf(refute_0_52,plain,
( join(meet(A,B),meet(A,join(A,B))) != A
| meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)) != meet(A,B)
| meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)),meet(A,B)) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_53,plain,
( meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)) != meet(A,B)
| meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(A,join(A,B))),A) )],[wal_absorbtion_1,refute_0_52]) ).
cnf(refute_0_54,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)),meet(A,B)) )],[refute_0_51,refute_0_53]) ).
cnf(refute_0_55,plain,
meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) = meet(meet(join(X_40,B),join(C,X_40)),X_40),
inference(subst,[],[refute_0_54:[bind(A,$fot(meet(join(X_40,B),join(C,X_40)))),bind(B,$fot(X_40))]]) ).
cnf(refute_0_56,plain,
meet(meet(join(X_40,B),join(C,X_40)),X_40) = X_40,
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(X_40))]]) ).
cnf(refute_0_57,plain,
( meet(meet(join(X_40,B),join(C,X_40)),X_40) != X_40
| meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) != meet(meet(join(X_40,B),join(C,X_40)),X_40)
| meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) = meet(meet(join(X_40,B),join(C,X_40)),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) ),[0,1],$fot(X_40)]]) ).
cnf(refute_0_58,plain,
( meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) != meet(meet(join(X_40,B),join(C,X_40)),X_40)
| meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) = meet(meet(join(X_40,B),join(C,X_40)),X_40) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_40,B),join(C,X_40)),X_40),X_40) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) = meet(meet(join(X_40,B),join(C,X_40)),X_40),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) = meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),
introduced(tautology,[refl,[$fot(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)))]]) ).
cnf(refute_0_61,plain,
( meet(meet(join(X_40,B),join(C,X_40)),X_40) != X_40
| meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) != meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40))
| meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) = meet(meet(join(X_40,B),join(C,X_40)),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40))) ),[1,1],$fot(X_40)]]) ).
cnf(refute_0_62,plain,
( meet(meet(join(X_40,B),join(C,X_40)),X_40) != X_40
| meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) = meet(meet(join(X_40,B),join(C,X_40)),X_40) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) = meet(meet(join(X_40,B),join(C,X_40)),X_40),
inference(resolve,[$cnf( $equal(meet(meet(join(X_40,B),join(C,X_40)),X_40),X_40) )],[refute_0_56,refute_0_62]) ).
cnf(refute_0_64,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_65,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_66,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_68,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( meet(meet(join(X_40,B),join(C,X_40)),X_40) != X_40
| meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) != meet(meet(join(X_40,B),join(C,X_40)),X_40)
| meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) = X_40 ),
inference(subst,[],[refute_0_68:[bind(X,$fot(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)))),bind(Y,$fot(meet(meet(join(X_40,B),join(C,X_40)),X_40))),bind(Z,$fot(X_40))]]) ).
cnf(refute_0_70,plain,
( meet(meet(join(X_40,B),join(C,X_40)),X_40) != X_40
| meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) = X_40 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) )],[refute_0_63,refute_0_69]) ).
cnf(refute_0_71,plain,
meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) = X_40,
inference(resolve,[$cnf( $equal(meet(meet(join(X_40,B),join(C,X_40)),X_40),X_40) )],[refute_0_56,refute_0_70]) ).
cnf(refute_0_72,plain,
meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) = meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40),
introduced(tautology,[refl,[$fot(meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40))]]) ).
cnf(refute_0_73,plain,
( meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) != X_40
| meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) != meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40)
| meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) = meet(X_40,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40),meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40)) ),[1,0],$fot(X_40)]]) ).
cnf(refute_0_74,plain,
( meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)) != X_40
| meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) = meet(X_40,X_40) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40),meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) = meet(X_40,X_40),
inference(resolve,[$cnf( $equal(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
( meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) != meet(X_40,X_40)
| meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) != meet(meet(join(X_40,B),join(C,X_40)),X_40)
| meet(X_40,X_40) = meet(meet(join(X_40,B),join(C,X_40)),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40),meet(meet(join(X_40,B),join(C,X_40)),X_40)) ),[0],$fot(meet(X_40,X_40))]]) ).
cnf(refute_0_77,plain,
( meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) != meet(meet(join(X_40,B),join(C,X_40)),X_40)
| meet(X_40,X_40) = meet(meet(join(X_40,B),join(C,X_40)),X_40) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40),meet(X_40,X_40)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( meet(X_40,X_40) != meet(meet(join(X_40,B),join(C,X_40)),X_40)
| meet(meet(join(X_40,B),join(C,X_40)),X_40) != X_40
| meet(X_40,X_40) = X_40 ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_40,X_40),X_40) ),[0],$fot(meet(meet(join(X_40,B),join(C,X_40)),X_40))]]) ).
cnf(refute_0_79,plain,
( meet(X_40,X_40) != meet(meet(join(X_40,B),join(C,X_40)),X_40)
| meet(X_40,X_40) = X_40 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_40,B),join(C,X_40)),X_40),X_40) )],[refute_0_56,refute_0_78]) ).
cnf(refute_0_80,plain,
( meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40) != meet(meet(join(X_40,B),join(C,X_40)),X_40)
| meet(X_40,X_40) = X_40 ),
inference(resolve,[$cnf( $equal(meet(X_40,X_40),meet(meet(join(X_40,B),join(C,X_40)),X_40)) )],[refute_0_77,refute_0_79]) ).
cnf(refute_0_81,plain,
meet(X_40,X_40) = X_40,
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_40,B),join(C,X_40)),meet(meet(join(X_40,B),join(C,X_40)),X_40)),X_40),meet(meet(join(X_40,B),join(C,X_40)),X_40)) )],[refute_0_59,refute_0_80]) ).
cnf(refute_0_82,plain,
meet(X_23,X_23) = X_23,
inference(subst,[],[refute_0_81:[bind(X_40,$fot(X_23))]]) ).
cnf(refute_0_83,plain,
join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),
introduced(tautology,[refl,[$fot(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)))]]) ).
cnf(refute_0_84,plain,
( join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23))
| meet(X_23,X_23) != X_23
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_85,plain,
( meet(X_23,X_23) != X_23
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23),
inference(resolve,[$cnf( $equal(meet(X_23,X_23),X_23) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
( join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23) != meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23)
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)) ),
inference(subst,[],[refute_0_68:[bind(X,$fot(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)))),bind(Y,$fot(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23))),bind(Z,$fot(meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))))]]) ).
cnf(refute_0_88,plain,
( join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23) != meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) = meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),X_23),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) )],[refute_0_50,refute_0_88]) ).
cnf(refute_0_90,plain,
( join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != X_23
| join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))
| meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),X_23) ),[0],$fot(meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)))]]) ).
cnf(refute_0_91,plain,
( join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)) != X_23
| meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
meet(X_23,join(meet(join(X_23,X_10),X_23),X_23)) = X_23,
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_23,join(meet(join(X_23,X_10),X_23),X_23))),meet(X_23,X_23)),X_23) )],[refute_0_32,refute_0_91]) ).
cnf(refute_0_93,plain,
meet(B,join(meet(join(B,X_15),B),B)) = B,
inference(subst,[],[refute_0_92:[bind(X_10,$fot(X_15)),bind(X_23,$fot(B))]]) ).
cnf(refute_0_94,plain,
join(B,meet(B,join(meet(join(B,X_15),B),B))) = join(B,meet(B,join(meet(join(B,X_15),B),B))),
introduced(tautology,[refl,[$fot(join(B,meet(B,join(meet(join(B,X_15),B),B))))]]) ).
cnf(refute_0_95,plain,
( join(B,meet(B,join(meet(join(B,X_15),B),B))) != join(B,meet(B,join(meet(join(B,X_15),B),B)))
| meet(B,join(meet(join(B,X_15),B),B)) != B
| join(B,meet(B,join(meet(join(B,X_15),B),B))) = join(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_15),B),B))),join(B,meet(B,join(meet(join(B,X_15),B),B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_96,plain,
( meet(B,join(meet(join(B,X_15),B),B)) != B
| join(B,meet(B,join(meet(join(B,X_15),B),B))) = join(B,B) ),
inference(resolve,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_15),B),B))),join(B,meet(B,join(meet(join(B,X_15),B),B)))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
join(B,meet(B,join(meet(join(B,X_15),B),B))) = join(B,B),
inference(resolve,[$cnf( $equal(meet(B,join(meet(join(B,X_15),B),B)),B) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( join(B,meet(B,join(meet(join(B,X_15),B),B))) != B
| join(B,meet(B,join(meet(join(B,X_15),B),B))) != join(B,B)
| join(B,B) = B ),
introduced(tautology,[equality,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_15),B),B))),B) ),[0],$fot(join(B,B))]]) ).
cnf(refute_0_99,plain,
( join(B,meet(B,join(meet(join(B,X_15),B),B))) != B
| join(B,B) = B ),
inference(resolve,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_15),B),B))),join(B,B)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
join(B,B) = B,
inference(resolve,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_15),B),B))),B) )],[refute_0_9,refute_0_99]) ).
cnf(refute_0_101,plain,
join(a,a) = a,
inference(subst,[],[refute_0_100:[bind(B,$fot(a))]]) ).
cnf(refute_0_102,plain,
( a != a
| join(a,a) != a
| join(a,a) = a ),
introduced(tautology,[equality,[$cnf( $equal(join(a,a),a) ),[0,0],$fot(a)]]) ).
cnf(refute_0_103,plain,
( a != a
| join(a,a) = a ),
inference(resolve,[$cnf( $equal(join(a,a),a) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
a != a,
inference(resolve,[$cnf( $equal(join(a,a),a) )],[refute_0_103,prove_normal_axioms_3]) ).
cnf(refute_0_105,plain,
a = a,
introduced(tautology,[refl,[$fot(a)]]) ).
cnf(refute_0_106,plain,
$false,
inference(resolve,[$cnf( $equal(a,a) )],[refute_0_105,refute_0_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 30 10:49:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46
% 0.18/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.49
%------------------------------------------------------------------------------