TSTP Solution File: COL059-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 00:36:20 EDT 2022
% Result : Unsatisfiable 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 66
% Syntax : Number of clauses : 210 ( 102 unt; 0 nHn; 117 RR)
% Number of literals : 366 ( 365 equ; 158 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 253 ( 45 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(kestrel_exists,axiom,
response(response(kestrel,X1),X2) = X1 ).
cnf(lark_exists,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)) ).
cnf(lark_lemma1,axiom,
response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ).
cnf(lark_lemma2,axiom,
response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ).
cnf(lark_not_egocentric,axiom,
response(l2,l2) != l2 ).
cnf(l2_definition,axiom,
response(lark,lark) = l2 ).
cnf(l3_definition,axiom,
response(l2,lark) = l3 ).
cnf(prove_l3_not_egocentric,negated_conjecture,
response(l3,l3) = l3 ).
cnf(refute_0_0,plain,
response(response(lark,response(lark,response(kestrel,X_5))),X2) = response(response(lark,response(kestrel,X_5)),response(X2,X2)),
inference(subst,[],[lark_exists:[bind(X1,$fot(response(lark,response(kestrel,X_5))))]]) ).
cnf(refute_0_1,plain,
response(response(kestrel,X1),response(X_3,X_3)) = X1,
inference(subst,[],[kestrel_exists:[bind(X2,$fot(response(X_3,X_3)))]]) ).
cnf(refute_0_2,plain,
response(response(lark,response(kestrel,X1)),X_3) = response(response(kestrel,X1),response(X_3,X_3)),
inference(subst,[],[lark_exists:[bind(X1,$fot(response(kestrel,X1))),bind(X2,$fot(X_3))]]) ).
cnf(refute_0_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( response(response(lark,response(kestrel,X1)),X_3) != response(response(kestrel,X1),response(X_3,X_3))
| response(response(kestrel,X1),response(X_3,X_3)) = response(response(lark,response(kestrel,X1)),X_3) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(response(response(lark,response(kestrel,X1)),X_3))),bind(Y,$fot(response(response(kestrel,X1),response(X_3,X_3))))]]) ).
cnf(refute_0_7,plain,
response(response(kestrel,X1),response(X_3,X_3)) = response(response(lark,response(kestrel,X1)),X_3),
inference(resolve,[$cnf( $equal(response(response(lark,response(kestrel,X1)),X_3),response(response(kestrel,X1),response(X_3,X_3))) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( response(response(kestrel,X1),response(X_3,X_3)) != X1
| response(response(kestrel,X1),response(X_3,X_3)) != response(response(lark,response(kestrel,X1)),X_3)
| response(response(lark,response(kestrel,X1)),X_3) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(response(response(kestrel,X1),response(X_3,X_3)),X1) ),[0],$fot(response(response(lark,response(kestrel,X1)),X_3))]]) ).
cnf(refute_0_9,plain,
( response(response(kestrel,X1),response(X_3,X_3)) != X1
| response(response(lark,response(kestrel,X1)),X_3) = X1 ),
inference(resolve,[$cnf( $equal(response(response(kestrel,X1),response(X_3,X_3)),response(response(lark,response(kestrel,X1)),X_3)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
response(response(lark,response(kestrel,X1)),X_3) = X1,
inference(resolve,[$cnf( $equal(response(response(kestrel,X1),response(X_3,X_3)),X1) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
response(response(lark,response(kestrel,X_5)),response(X2,X2)) = X_5,
inference(subst,[],[refute_0_10:[bind(X1,$fot(X_5)),bind(X_3,$fot(response(X2,X2)))]]) ).
cnf(refute_0_12,plain,
( response(response(lark,response(kestrel,X_5)),response(X2,X2)) != X_5
| response(response(lark,response(lark,response(kestrel,X_5))),X2) != response(response(lark,response(kestrel,X_5)),response(X2,X2))
| response(response(lark,response(lark,response(kestrel,X_5))),X2) = X_5 ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,response(lark,response(kestrel,X_5))),X2),response(response(lark,response(kestrel,X_5)),response(X2,X2))) ),[1],$fot(X_5)]]) ).
cnf(refute_0_13,plain,
( response(response(lark,response(lark,response(kestrel,X_5))),X2) != response(response(lark,response(kestrel,X_5)),response(X2,X2))
| response(response(lark,response(lark,response(kestrel,X_5))),X2) = X_5 ),
inference(resolve,[$cnf( $equal(response(response(lark,response(kestrel,X_5)),response(X2,X2)),X_5) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
response(response(lark,response(lark,response(kestrel,X_5))),X2) = X_5,
inference(resolve,[$cnf( $equal(response(response(lark,response(lark,response(kestrel,X_5))),X2),response(response(lark,response(kestrel,X_5)),response(X2,X2))) )],[refute_0_0,refute_0_13]) ).
cnf(refute_0_15,plain,
response(response(lark,X_2),response(kestrel,X1)) = response(X_2,response(response(kestrel,X1),response(kestrel,X1))),
inference(subst,[],[lark_exists:[bind(X1,$fot(X_2)),bind(X2,$fot(response(kestrel,X1)))]]) ).
cnf(refute_0_16,plain,
response(response(kestrel,X1),response(kestrel,X1)) = X1,
inference(subst,[],[kestrel_exists:[bind(X2,$fot(response(kestrel,X1)))]]) ).
cnf(refute_0_17,plain,
( response(response(kestrel,X1),response(kestrel,X1)) != X1
| response(response(lark,X_2),response(kestrel,X1)) != response(X_2,response(response(kestrel,X1),response(kestrel,X1)))
| response(response(lark,X_2),response(kestrel,X1)) = response(X_2,X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,X_2),response(kestrel,X1)),response(X_2,response(response(kestrel,X1),response(kestrel,X1)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_18,plain,
( response(response(lark,X_2),response(kestrel,X1)) != response(X_2,response(response(kestrel,X1),response(kestrel,X1)))
| response(response(lark,X_2),response(kestrel,X1)) = response(X_2,X1) ),
inference(resolve,[$cnf( $equal(response(response(kestrel,X1),response(kestrel,X1)),X1) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
response(response(lark,X_2),response(kestrel,X1)) = response(X_2,X1),
inference(resolve,[$cnf( $equal(response(response(lark,X_2),response(kestrel,X1)),response(X_2,response(response(kestrel,X1),response(kestrel,X1)))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
response(response(lark,lark),X_3) = response(lark,response(X_3,X_3)),
inference(subst,[],[lark_exists:[bind(X1,$fot(lark)),bind(X2,$fot(X_3))]]) ).
cnf(refute_0_21,plain,
( response(lark,lark) != l2
| response(response(lark,lark),X_3) != response(lark,response(X_3,X_3))
| response(l2,X_3) = response(lark,response(X_3,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,lark),X_3),response(lark,response(X_3,X_3))) ),[0,0],$fot(l2)]]) ).
cnf(refute_0_22,plain,
( response(response(lark,lark),X_3) != response(lark,response(X_3,X_3))
| response(l2,X_3) = response(lark,response(X_3,X_3)) ),
inference(resolve,[$cnf( $equal(response(lark,lark),l2) )],[l2_definition,refute_0_21]) ).
cnf(refute_0_23,plain,
response(l2,X_3) = response(lark,response(X_3,X_3)),
inference(resolve,[$cnf( $equal(response(response(lark,lark),X_3),response(lark,response(X_3,X_3))) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
response(l2,response(kestrel,X1)) = response(lark,response(response(kestrel,X1),response(kestrel,X1))),
inference(subst,[],[refute_0_23:[bind(X_3,$fot(response(kestrel,X1)))]]) ).
cnf(refute_0_25,plain,
( response(l2,response(kestrel,X1)) != response(lark,response(response(kestrel,X1),response(kestrel,X1)))
| response(response(kestrel,X1),response(kestrel,X1)) != X1
| response(l2,response(kestrel,X1)) = response(lark,X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(l2,response(kestrel,X1)),response(lark,response(response(kestrel,X1),response(kestrel,X1)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_26,plain,
( response(l2,response(kestrel,X1)) != response(lark,response(response(kestrel,X1),response(kestrel,X1)))
| response(l2,response(kestrel,X1)) = response(lark,X1) ),
inference(resolve,[$cnf( $equal(response(response(kestrel,X1),response(kestrel,X1)),X1) )],[refute_0_16,refute_0_25]) ).
cnf(refute_0_27,plain,
response(l2,response(kestrel,X1)) = response(lark,X1),
inference(resolve,[$cnf( $equal(response(l2,response(kestrel,X1)),response(lark,response(response(kestrel,X1),response(kestrel,X1)))) )],[refute_0_24,refute_0_26]) ).
cnf(refute_0_28,plain,
response(response(lark,l2),X2) = response(l2,response(X2,X2)),
inference(subst,[],[lark_exists:[bind(X1,$fot(l2))]]) ).
cnf(refute_0_29,plain,
response(l2,lark) = response(lark,response(lark,lark)),
inference(subst,[],[refute_0_23:[bind(X_3,$fot(lark))]]) ).
cnf(refute_0_30,plain,
( response(l2,lark) != response(lark,response(lark,lark))
| response(lark,lark) != l2
| response(l2,lark) = response(lark,l2) ),
introduced(tautology,[equality,[$cnf( $equal(response(l2,lark),response(lark,response(lark,lark))) ),[1,1],$fot(l2)]]) ).
cnf(refute_0_31,plain,
( response(l2,lark) != response(lark,response(lark,lark))
| response(l2,lark) = response(lark,l2) ),
inference(resolve,[$cnf( $equal(response(lark,lark),l2) )],[l2_definition,refute_0_30]) ).
cnf(refute_0_32,plain,
response(l2,lark) = response(lark,l2),
inference(resolve,[$cnf( $equal(response(l2,lark),response(lark,response(lark,lark))) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( response(l2,lark) != l3
| response(l2,lark) != response(lark,l2)
| l3 = response(lark,l2) ),
introduced(tautology,[equality,[$cnf( $equal(response(l2,lark),response(lark,l2)) ),[0],$fot(l3)]]) ).
cnf(refute_0_34,plain,
( response(l2,lark) != response(lark,l2)
| l3 = response(lark,l2) ),
inference(resolve,[$cnf( $equal(response(l2,lark),l3) )],[l3_definition,refute_0_33]) ).
cnf(refute_0_35,plain,
l3 = response(lark,l2),
inference(resolve,[$cnf( $equal(response(l2,lark),response(lark,l2)) )],[refute_0_32,refute_0_34]) ).
cnf(refute_0_36,plain,
( l3 != response(lark,l2)
| response(lark,l2) = l3 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(l3)),bind(Y,$fot(response(lark,l2)))]]) ).
cnf(refute_0_37,plain,
response(lark,l2) = l3,
inference(resolve,[$cnf( $equal(l3,response(lark,l2)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( response(lark,l2) != l3
| response(response(lark,l2),X2) != response(l2,response(X2,X2))
| response(l3,X2) = response(l2,response(X2,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,l2),X2),response(l2,response(X2,X2))) ),[0,0],$fot(l3)]]) ).
cnf(refute_0_39,plain,
( response(response(lark,l2),X2) != response(l2,response(X2,X2))
| response(l3,X2) = response(l2,response(X2,X2)) ),
inference(resolve,[$cnf( $equal(response(lark,l2),l3) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
response(l3,X2) = response(l2,response(X2,X2)),
inference(resolve,[$cnf( $equal(response(response(lark,l2),X2),response(l2,response(X2,X2))) )],[refute_0_28,refute_0_39]) ).
cnf(refute_0_41,plain,
response(l3,response(kestrel,X1)) = response(l2,response(response(kestrel,X1),response(kestrel,X1))),
inference(subst,[],[refute_0_40:[bind(X2,$fot(response(kestrel,X1)))]]) ).
cnf(refute_0_42,plain,
( response(l3,response(kestrel,X1)) != response(l2,response(response(kestrel,X1),response(kestrel,X1)))
| response(response(kestrel,X1),response(kestrel,X1)) != X1
| response(l3,response(kestrel,X1)) = response(l2,X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(l3,response(kestrel,X1)),response(l2,response(response(kestrel,X1),response(kestrel,X1)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_43,plain,
( response(l3,response(kestrel,X1)) != response(l2,response(response(kestrel,X1),response(kestrel,X1)))
| response(l3,response(kestrel,X1)) = response(l2,X1) ),
inference(resolve,[$cnf( $equal(response(response(kestrel,X1),response(kestrel,X1)),X1) )],[refute_0_16,refute_0_42]) ).
cnf(refute_0_44,plain,
response(l3,response(kestrel,X1)) = response(l2,X1),
inference(resolve,[$cnf( $equal(response(l3,response(kestrel,X1)),response(l2,response(response(kestrel,X1),response(kestrel,X1)))) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
response(response(lark,lark),lark) = response(lark,response(lark,lark)),
inference(subst,[],[lark_exists:[bind(X1,$fot(lark)),bind(X2,$fot(lark))]]) ).
cnf(refute_0_46,plain,
response(response(response(lark,lark),lark),X1) = response(response(response(lark,lark),lark),X1),
introduced(tautology,[refl,[$fot(response(response(response(lark,lark),lark),X1))]]) ).
cnf(refute_0_47,plain,
( response(response(lark,lark),lark) != response(lark,response(lark,lark))
| response(response(response(lark,lark),lark),X1) != response(response(response(lark,lark),lark),X1)
| response(response(response(lark,lark),lark),X1) = response(response(lark,response(lark,lark)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,lark),lark),X1),response(response(response(lark,lark),lark),X1)) ),[1,0],$fot(response(lark,response(lark,lark)))]]) ).
cnf(refute_0_48,plain,
( response(response(lark,lark),lark) != response(lark,response(lark,lark))
| response(response(response(lark,lark),lark),X1) = response(response(lark,response(lark,lark)),X1) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),lark),X1),response(response(response(lark,lark),lark),X1)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
response(response(response(lark,lark),lark),X1) = response(response(lark,response(lark,lark)),X1),
inference(resolve,[$cnf( $equal(response(response(lark,lark),lark),response(lark,response(lark,lark))) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(response(lark,lark),lark),X1),X2),
introduced(tautology,[refl,[$fot(response(response(response(response(lark,lark),lark),X1),X2))]]) ).
cnf(refute_0_51,plain,
( response(response(response(lark,lark),lark),X1) != response(response(lark,response(lark,lark)),X1)
| response(response(response(response(lark,lark),lark),X1),X2) != response(response(response(response(lark,lark),lark),X1),X2)
| response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(lark,response(lark,lark)),X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(response(lark,lark),lark),X1),X2),response(response(response(response(lark,lark),lark),X1),X2)) ),[1,0],$fot(response(response(lark,response(lark,lark)),X1))]]) ).
cnf(refute_0_52,plain,
( response(response(response(lark,lark),lark),X1) != response(response(lark,response(lark,lark)),X1)
| response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(lark,response(lark,lark)),X1),X2) ),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),lark),X1),X2),response(response(response(response(lark,lark),lark),X1),X2)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(lark,response(lark,lark)),X1),X2),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),lark),X1),response(response(lark,response(lark,lark)),X1)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( response(response(response(response(lark,lark),lark),X1),X2) != response(response(response(X1,X1),response(X1,X1)),response(x2,x2))
| response(response(response(response(lark,lark),lark),X1),X2) != response(response(response(lark,response(lark,lark)),X1),X2)
| response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(response(lark,lark),lark),X1),X2),response(response(response(X1,X1),response(X1,X1)),response(x2,x2))) ),[0],$fot(response(response(response(lark,response(lark,lark)),X1),X2))]]) ).
cnf(refute_0_55,plain,
( response(response(response(response(lark,lark),lark),X1),X2) != response(response(response(X1,X1),response(X1,X1)),response(x2,x2))
| response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),lark),X1),X2),response(response(response(lark,response(lark,lark)),X1),X2)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( response(response(response(lark,lark),X1),X2) != response(response(X1,X1),response(X2,X2))
| response(response(X1,X1),response(X2,X2)) = response(response(response(lark,lark),X1),X2) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(response(response(response(lark,lark),X1),X2))),bind(Y,$fot(response(response(X1,X1),response(X2,X2))))]]) ).
cnf(refute_0_57,plain,
response(response(X1,X1),response(X2,X2)) = response(response(response(lark,lark),X1),X2),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),X1),X2),response(response(X1,X1),response(X2,X2))) )],[lark_lemma1,refute_0_56]) ).
cnf(refute_0_58,plain,
response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) = response(response(response(lark,lark),response(X1,X1)),x2),
inference(subst,[],[refute_0_57:[bind(X1,$fot(response(X1,X1))),bind(X2,$fot(x2))]]) ).
cnf(refute_0_59,plain,
( response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) != response(response(response(lark,lark),response(X1,X1)),x2)
| response(response(response(lark,response(lark,lark)),X1),X2) != response(response(response(X1,X1),response(X1,X1)),response(x2,x2))
| response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(lark,lark),response(X1,X1)),x2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,response(lark,lark)),X1),X2),response(response(response(X1,X1),response(X1,X1)),response(x2,x2))) ),[1],$fot(response(response(response(lark,lark),response(X1,X1)),x2))]]) ).
cnf(refute_0_60,plain,
( response(response(response(lark,response(lark,lark)),X1),X2) != response(response(response(X1,X1),response(X1,X1)),response(x2,x2))
| response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(lark,lark),response(X1,X1)),x2) ),
inference(resolve,[$cnf( $equal(response(response(response(X1,X1),response(X1,X1)),response(x2,x2)),response(response(response(lark,lark),response(X1,X1)),x2)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( response(response(response(response(lark,lark),lark),X1),X2) != response(response(response(X1,X1),response(X1,X1)),response(x2,x2))
| response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(lark,lark),response(X1,X1)),x2) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,response(lark,lark)),X1),X2),response(response(response(X1,X1),response(X1,X1)),response(x2,x2))) )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(lark,lark),response(X1,X1)),x2),
inference(resolve,[$cnf( $equal(response(response(response(response(lark,lark),lark),X1),X2),response(response(response(X1,X1),response(X1,X1)),response(x2,x2))) )],[lark_lemma2,refute_0_61]) ).
cnf(refute_0_63,plain,
response(lark,response(lark,lark)) = response(lark,response(lark,lark)),
introduced(tautology,[refl,[$fot(response(lark,response(lark,lark)))]]) ).
cnf(refute_0_64,plain,
( response(lark,lark) != l2
| response(lark,response(lark,lark)) != response(lark,response(lark,lark))
| response(lark,response(lark,lark)) = response(lark,l2) ),
introduced(tautology,[equality,[$cnf( $equal(response(lark,response(lark,lark)),response(lark,response(lark,lark))) ),[1,1],$fot(l2)]]) ).
cnf(refute_0_65,plain,
( response(lark,lark) != l2
| response(lark,response(lark,lark)) = response(lark,l2) ),
inference(resolve,[$cnf( $equal(response(lark,response(lark,lark)),response(lark,response(lark,lark))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
response(lark,response(lark,lark)) = response(lark,l2),
inference(resolve,[$cnf( $equal(response(lark,lark),l2) )],[l2_definition,refute_0_65]) ).
cnf(refute_0_67,plain,
response(response(lark,response(lark,lark)),X1) = response(response(lark,response(lark,lark)),X1),
introduced(tautology,[refl,[$fot(response(response(lark,response(lark,lark)),X1))]]) ).
cnf(refute_0_68,plain,
( response(lark,response(lark,lark)) != response(lark,l2)
| response(response(lark,response(lark,lark)),X1) != response(response(lark,response(lark,lark)),X1)
| response(response(lark,response(lark,lark)),X1) = response(response(lark,l2),X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,response(lark,lark)),X1),response(response(lark,response(lark,lark)),X1)) ),[1,0],$fot(response(lark,l2))]]) ).
cnf(refute_0_69,plain,
( response(lark,response(lark,lark)) != response(lark,l2)
| response(response(lark,response(lark,lark)),X1) = response(response(lark,l2),X1) ),
inference(resolve,[$cnf( $equal(response(response(lark,response(lark,lark)),X1),response(response(lark,response(lark,lark)),X1)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
response(response(lark,response(lark,lark)),X1) = response(response(lark,l2),X1),
inference(resolve,[$cnf( $equal(response(lark,response(lark,lark)),response(lark,l2)) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(lark,response(lark,lark)),X1),X2),
introduced(tautology,[refl,[$fot(response(response(response(lark,response(lark,lark)),X1),X2))]]) ).
cnf(refute_0_72,plain,
( response(response(lark,response(lark,lark)),X1) != response(response(lark,l2),X1)
| response(response(response(lark,response(lark,lark)),X1),X2) != response(response(response(lark,response(lark,lark)),X1),X2)
| response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(lark,l2),X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,response(lark,lark)),X1),X2),response(response(response(lark,response(lark,lark)),X1),X2)) ),[1,0],$fot(response(response(lark,l2),X1))]]) ).
cnf(refute_0_73,plain,
( response(response(lark,response(lark,lark)),X1) != response(response(lark,l2),X1)
| response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(lark,l2),X1),X2) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,response(lark,lark)),X1),X2),response(response(response(lark,response(lark,lark)),X1),X2)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
response(response(response(lark,response(lark,lark)),X1),X2) = response(response(response(lark,l2),X1),X2),
inference(resolve,[$cnf( $equal(response(response(lark,response(lark,lark)),X1),response(response(lark,l2),X1)) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( response(response(response(lark,response(lark,lark)),X1),X2) != response(response(response(lark,l2),X1),X2)
| response(response(response(lark,response(lark,lark)),X1),X2) != response(response(response(lark,lark),response(X1,X1)),x2)
| response(response(response(lark,l2),X1),X2) = response(response(response(lark,lark),response(X1,X1)),x2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,response(lark,lark)),X1),X2),response(response(response(lark,lark),response(X1,X1)),x2)) ),[0],$fot(response(response(response(lark,l2),X1),X2))]]) ).
cnf(refute_0_76,plain,
( response(response(response(lark,response(lark,lark)),X1),X2) != response(response(response(lark,lark),response(X1,X1)),x2)
| response(response(response(lark,l2),X1),X2) = response(response(response(lark,lark),response(X1,X1)),x2) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,response(lark,lark)),X1),X2),response(response(response(lark,l2),X1),X2)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
response(response(l2,lark),X1) = response(response(l2,lark),X1),
introduced(tautology,[refl,[$fot(response(response(l2,lark),X1))]]) ).
cnf(refute_0_78,plain,
( response(l2,lark) != l3
| response(response(l2,lark),X1) != response(response(l2,lark),X1)
| response(response(l2,lark),X1) = response(l3,X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(l2,lark),X1),response(response(l2,lark),X1)) ),[1,0],$fot(l3)]]) ).
cnf(refute_0_79,plain,
( response(l2,lark) != l3
| response(response(l2,lark),X1) = response(l3,X1) ),
inference(resolve,[$cnf( $equal(response(response(l2,lark),X1),response(response(l2,lark),X1)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
response(response(l2,lark),X1) = response(l3,X1),
inference(resolve,[$cnf( $equal(response(l2,lark),l3) )],[l3_definition,refute_0_79]) ).
cnf(refute_0_81,plain,
response(response(lark,lark),X1) = response(response(lark,lark),X1),
introduced(tautology,[refl,[$fot(response(response(lark,lark),X1))]]) ).
cnf(refute_0_82,plain,
( response(lark,lark) != l2
| response(response(lark,lark),X1) != response(response(lark,lark),X1)
| response(response(lark,lark),X1) = response(l2,X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,lark),X1),response(response(lark,lark),X1)) ),[1,0],$fot(l2)]]) ).
cnf(refute_0_83,plain,
( response(lark,lark) != l2
| response(response(lark,lark),X1) = response(l2,X1) ),
inference(resolve,[$cnf( $equal(response(response(lark,lark),X1),response(response(lark,lark),X1)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
response(response(lark,lark),X1) = response(l2,X1),
inference(resolve,[$cnf( $equal(response(lark,lark),l2) )],[l2_definition,refute_0_83]) ).
cnf(refute_0_85,plain,
response(response(response(lark,lark),X1),X2) = response(response(response(lark,lark),X1),X2),
introduced(tautology,[refl,[$fot(response(response(response(lark,lark),X1),X2))]]) ).
cnf(refute_0_86,plain,
( response(response(lark,lark),X1) != response(l2,X1)
| response(response(response(lark,lark),X1),X2) != response(response(response(lark,lark),X1),X2)
| response(response(response(lark,lark),X1),X2) = response(response(l2,X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,lark),X1),X2),response(response(response(lark,lark),X1),X2)) ),[1,0],$fot(response(l2,X1))]]) ).
cnf(refute_0_87,plain,
( response(response(lark,lark),X1) != response(l2,X1)
| response(response(response(lark,lark),X1),X2) = response(response(l2,X1),X2) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),X1),X2),response(response(response(lark,lark),X1),X2)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
response(response(response(lark,lark),X1),X2) = response(response(l2,X1),X2),
inference(resolve,[$cnf( $equal(response(response(lark,lark),X1),response(l2,X1)) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
( response(response(response(lark,lark),X1),X2) != response(response(X1,X1),response(X2,X2))
| response(response(response(lark,lark),X1),X2) != response(response(l2,X1),X2)
| response(response(l2,X1),X2) = response(response(X1,X1),response(X2,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,lark),X1),X2),response(response(X1,X1),response(X2,X2))) ),[0],$fot(response(response(l2,X1),X2))]]) ).
cnf(refute_0_90,plain,
( response(response(response(lark,lark),X1),X2) != response(response(X1,X1),response(X2,X2))
| response(response(l2,X1),X2) = response(response(X1,X1),response(X2,X2)) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),X1),X2),response(response(l2,X1),X2)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
response(response(l2,X1),X2) = response(response(X1,X1),response(X2,X2)),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),X1),X2),response(response(X1,X1),response(X2,X2))) )],[lark_lemma1,refute_0_90]) ).
cnf(refute_0_92,plain,
( response(response(l2,X1),X2) != response(response(X1,X1),response(X2,X2))
| response(response(X1,X1),response(X2,X2)) = response(response(l2,X1),X2) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(response(response(l2,X1),X2))),bind(Y,$fot(response(response(X1,X1),response(X2,X2))))]]) ).
cnf(refute_0_93,plain,
response(response(X1,X1),response(X2,X2)) = response(response(l2,X1),X2),
inference(resolve,[$cnf( $equal(response(response(l2,X1),X2),response(response(X1,X1),response(X2,X2))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
response(response(lark,lark),response(X1,X1)) = response(response(l2,lark),X1),
inference(subst,[],[refute_0_93:[bind(X1,$fot(lark)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_95,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_96,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_95]) ).
cnf(refute_0_97,plain,
( response(response(l2,lark),X1) != response(l3,X1)
| response(response(lark,lark),response(X1,X1)) != response(response(l2,lark),X1)
| response(response(lark,lark),response(X1,X1)) = response(l3,X1) ),
inference(subst,[],[refute_0_96:[bind(X,$fot(response(response(lark,lark),response(X1,X1)))),bind(Y,$fot(response(response(l2,lark),X1))),bind(Z,$fot(response(l3,X1)))]]) ).
cnf(refute_0_98,plain,
( response(response(l2,lark),X1) != response(l3,X1)
| response(response(lark,lark),response(X1,X1)) = response(l3,X1) ),
inference(resolve,[$cnf( $equal(response(response(lark,lark),response(X1,X1)),response(response(l2,lark),X1)) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
response(response(lark,lark),response(X1,X1)) = response(l3,X1),
inference(resolve,[$cnf( $equal(response(response(l2,lark),X1),response(l3,X1)) )],[refute_0_80,refute_0_98]) ).
cnf(refute_0_100,plain,
response(response(response(lark,lark),response(X1,X1)),x2) = response(response(response(lark,lark),response(X1,X1)),x2),
introduced(tautology,[refl,[$fot(response(response(response(lark,lark),response(X1,X1)),x2))]]) ).
cnf(refute_0_101,plain,
( response(response(lark,lark),response(X1,X1)) != response(l3,X1)
| response(response(response(lark,lark),response(X1,X1)),x2) != response(response(response(lark,lark),response(X1,X1)),x2)
| response(response(response(lark,lark),response(X1,X1)),x2) = response(response(l3,X1),x2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,lark),response(X1,X1)),x2),response(response(response(lark,lark),response(X1,X1)),x2)) ),[1,0],$fot(response(l3,X1))]]) ).
cnf(refute_0_102,plain,
( response(response(lark,lark),response(X1,X1)) != response(l3,X1)
| response(response(response(lark,lark),response(X1,X1)),x2) = response(response(l3,X1),x2) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),response(X1,X1)),x2),response(response(response(lark,lark),response(X1,X1)),x2)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
response(response(response(lark,lark),response(X1,X1)),x2) = response(response(l3,X1),x2),
inference(resolve,[$cnf( $equal(response(response(lark,lark),response(X1,X1)),response(l3,X1)) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
( response(response(response(lark,l2),X1),X2) != response(response(response(lark,lark),response(X1,X1)),x2)
| response(response(response(lark,lark),response(X1,X1)),x2) != response(response(l3,X1),x2)
| response(response(response(lark,l2),X1),X2) = response(response(l3,X1),x2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(response(response(lark,l2),X1),X2),response(response(l3,X1),x2)) ),[0],$fot(response(response(response(lark,lark),response(X1,X1)),x2))]]) ).
cnf(refute_0_105,plain,
( response(response(response(lark,l2),X1),X2) != response(response(response(lark,lark),response(X1,X1)),x2)
| response(response(response(lark,l2),X1),X2) = response(response(l3,X1),x2) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,lark),response(X1,X1)),x2),response(response(l3,X1),x2)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( response(response(response(lark,response(lark,lark)),X1),X2) != response(response(response(lark,lark),response(X1,X1)),x2)
| response(response(response(lark,l2),X1),X2) = response(response(l3,X1),x2) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,l2),X1),X2),response(response(response(lark,lark),response(X1,X1)),x2)) )],[refute_0_76,refute_0_105]) ).
cnf(refute_0_107,plain,
response(response(response(lark,l2),X1),X2) = response(response(l3,X1),x2),
inference(resolve,[$cnf( $equal(response(response(response(lark,response(lark,lark)),X1),X2),response(response(response(lark,lark),response(X1,X1)),x2)) )],[refute_0_62,refute_0_106]) ).
cnf(refute_0_108,plain,
response(response(lark,l2),X1) = response(response(lark,l2),X1),
introduced(tautology,[refl,[$fot(response(response(lark,l2),X1))]]) ).
cnf(refute_0_109,plain,
( response(lark,l2) != l3
| response(response(lark,l2),X1) != response(response(lark,l2),X1)
| response(response(lark,l2),X1) = response(l3,X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,l2),X1),response(response(lark,l2),X1)) ),[1,0],$fot(l3)]]) ).
cnf(refute_0_110,plain,
( response(lark,l2) != l3
| response(response(lark,l2),X1) = response(l3,X1) ),
inference(resolve,[$cnf( $equal(response(response(lark,l2),X1),response(response(lark,l2),X1)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
response(response(lark,l2),X1) = response(l3,X1),
inference(resolve,[$cnf( $equal(response(lark,l2),l3) )],[refute_0_37,refute_0_110]) ).
cnf(refute_0_112,plain,
response(response(response(lark,l2),X1),X2) = response(response(response(lark,l2),X1),X2),
introduced(tautology,[refl,[$fot(response(response(response(lark,l2),X1),X2))]]) ).
cnf(refute_0_113,plain,
( response(response(lark,l2),X1) != response(l3,X1)
| response(response(response(lark,l2),X1),X2) != response(response(response(lark,l2),X1),X2)
| response(response(response(lark,l2),X1),X2) = response(response(l3,X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,l2),X1),X2),response(response(response(lark,l2),X1),X2)) ),[1,0],$fot(response(l3,X1))]]) ).
cnf(refute_0_114,plain,
( response(response(lark,l2),X1) != response(l3,X1)
| response(response(response(lark,l2),X1),X2) = response(response(l3,X1),X2) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,l2),X1),X2),response(response(response(lark,l2),X1),X2)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
response(response(response(lark,l2),X1),X2) = response(response(l3,X1),X2),
inference(resolve,[$cnf( $equal(response(response(lark,l2),X1),response(l3,X1)) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
( response(response(response(lark,l2),X1),X2) != response(response(l3,X1),X2)
| response(response(response(lark,l2),X1),X2) != response(response(l3,X1),x2)
| response(response(l3,X1),X2) = response(response(l3,X1),x2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(response(lark,l2),X1),X2),response(response(l3,X1),x2)) ),[0],$fot(response(response(l3,X1),X2))]]) ).
cnf(refute_0_117,plain,
( response(response(response(lark,l2),X1),X2) != response(response(l3,X1),x2)
| response(response(l3,X1),X2) = response(response(l3,X1),x2) ),
inference(resolve,[$cnf( $equal(response(response(response(lark,l2),X1),X2),response(response(l3,X1),X2)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
response(response(l3,X1),X2) = response(response(l3,X1),x2),
inference(resolve,[$cnf( $equal(response(response(response(lark,l2),X1),X2),response(response(l3,X1),x2)) )],[refute_0_107,refute_0_117]) ).
cnf(refute_0_119,plain,
response(response(l3,l3),X_11) = response(response(l3,l3),x2),
inference(subst,[],[refute_0_118:[bind(X1,$fot(l3)),bind(X2,$fot(X_11))]]) ).
cnf(refute_0_120,plain,
( response(l3,l3) != l3
| response(response(l3,l3),X_11) != response(response(l3,l3),x2)
| response(l3,X_11) = response(response(l3,l3),x2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(l3,l3),X_11),response(response(l3,l3),x2)) ),[0,0],$fot(l3)]]) ).
cnf(refute_0_121,plain,
( response(response(l3,l3),X_11) != response(response(l3,l3),x2)
| response(l3,X_11) = response(response(l3,l3),x2) ),
inference(resolve,[$cnf( $equal(response(l3,l3),l3) )],[prove_l3_not_egocentric,refute_0_120]) ).
cnf(refute_0_122,plain,
response(l3,X_11) = response(response(l3,l3),x2),
inference(resolve,[$cnf( $equal(response(response(l3,l3),X_11),response(response(l3,l3),x2)) )],[refute_0_119,refute_0_121]) ).
cnf(refute_0_123,plain,
response(response(l3,l3),x2) = response(response(l3,l3),x2),
introduced(tautology,[refl,[$fot(response(response(l3,l3),x2))]]) ).
cnf(refute_0_124,plain,
( response(l3,l3) != l3
| response(response(l3,l3),x2) != response(response(l3,l3),x2)
| response(response(l3,l3),x2) = response(l3,x2) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(l3,l3),x2),response(response(l3,l3),x2)) ),[1,0],$fot(l3)]]) ).
cnf(refute_0_125,plain,
( response(l3,l3) != l3
| response(response(l3,l3),x2) = response(l3,x2) ),
inference(resolve,[$cnf( $equal(response(response(l3,l3),x2),response(response(l3,l3),x2)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
response(response(l3,l3),x2) = response(l3,x2),
inference(resolve,[$cnf( $equal(response(l3,l3),l3) )],[prove_l3_not_egocentric,refute_0_125]) ).
cnf(refute_0_127,plain,
( response(l3,X_11) != response(response(l3,l3),x2)
| response(response(l3,l3),x2) != response(l3,x2)
| response(l3,X_11) = response(l3,x2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(response(l3,X_11),response(l3,x2)) ),[0],$fot(response(response(l3,l3),x2))]]) ).
cnf(refute_0_128,plain,
( response(l3,X_11) != response(response(l3,l3),x2)
| response(l3,X_11) = response(l3,x2) ),
inference(resolve,[$cnf( $equal(response(response(l3,l3),x2),response(l3,x2)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
response(l3,X_11) = response(l3,x2),
inference(resolve,[$cnf( $equal(response(l3,X_11),response(response(l3,l3),x2)) )],[refute_0_122,refute_0_128]) ).
cnf(refute_0_130,plain,
response(l3,response(kestrel,X1)) = response(l3,x2),
inference(subst,[],[refute_0_129:[bind(X_11,$fot(response(kestrel,X1)))]]) ).
cnf(refute_0_131,plain,
( response(l3,response(kestrel,X1)) != response(l2,X1)
| response(l3,response(kestrel,X1)) != response(l3,x2)
| response(l3,x2) = response(l2,X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(l3,response(kestrel,X1)),response(l2,X1)) ),[0],$fot(response(l3,x2))]]) ).
cnf(refute_0_132,plain,
( response(l3,response(kestrel,X1)) != response(l2,X1)
| response(l3,x2) = response(l2,X1) ),
inference(resolve,[$cnf( $equal(response(l3,response(kestrel,X1)),response(l3,x2)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
response(l3,x2) = response(l2,X1),
inference(resolve,[$cnf( $equal(response(l3,response(kestrel,X1)),response(l2,X1)) )],[refute_0_44,refute_0_132]) ).
cnf(refute_0_134,plain,
( response(l3,x2) != response(l2,X1)
| response(l2,X1) = response(l3,x2) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(response(l3,x2))),bind(Y,$fot(response(l2,X1)))]]) ).
cnf(refute_0_135,plain,
response(l2,X1) = response(l3,x2),
inference(resolve,[$cnf( $equal(response(l3,x2),response(l2,X1)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
response(l2,response(kestrel,X1)) = response(l3,x2),
inference(subst,[],[refute_0_135:[bind(X1,$fot(response(kestrel,X1)))]]) ).
cnf(refute_0_137,plain,
( response(l2,response(kestrel,X1)) != response(l3,x2)
| response(l2,response(kestrel,X1)) != response(lark,X1)
| response(l3,x2) = response(lark,X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(l2,response(kestrel,X1)),response(lark,X1)) ),[0],$fot(response(l3,x2))]]) ).
cnf(refute_0_138,plain,
( response(l2,response(kestrel,X1)) != response(lark,X1)
| response(l3,x2) = response(lark,X1) ),
inference(resolve,[$cnf( $equal(response(l2,response(kestrel,X1)),response(l3,x2)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
response(l3,x2) = response(lark,X1),
inference(resolve,[$cnf( $equal(response(l2,response(kestrel,X1)),response(lark,X1)) )],[refute_0_27,refute_0_138]) ).
cnf(refute_0_140,plain,
( response(l3,x2) != response(lark,X1)
| response(lark,X1) = response(l3,x2) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(response(l3,x2))),bind(Y,$fot(response(lark,X1)))]]) ).
cnf(refute_0_141,plain,
response(lark,X1) = response(l3,x2),
inference(resolve,[$cnf( $equal(response(l3,x2),response(lark,X1)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
response(lark,lark) = response(l3,x2),
inference(subst,[],[refute_0_141:[bind(X1,$fot(lark))]]) ).
cnf(refute_0_143,plain,
( response(lark,lark) != l2
| response(lark,lark) != response(l3,x2)
| response(l3,x2) = l2 ),
introduced(tautology,[equality,[$cnf( $equal(response(lark,lark),l2) ),[0],$fot(response(l3,x2))]]) ).
cnf(refute_0_144,plain,
( response(lark,lark) != l2
| response(l3,x2) = l2 ),
inference(resolve,[$cnf( $equal(response(lark,lark),response(l3,x2)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
response(l3,x2) = l2,
inference(resolve,[$cnf( $equal(response(lark,lark),l2) )],[l2_definition,refute_0_144]) ).
cnf(refute_0_146,plain,
( response(l2,response(kestrel,X1)) != response(l3,x2)
| response(l3,x2) != l2
| response(l2,response(kestrel,X1)) = l2 ),
inference(subst,[],[refute_0_96:[bind(X,$fot(response(l2,response(kestrel,X1)))),bind(Y,$fot(response(l3,x2))),bind(Z,$fot(l2))]]) ).
cnf(refute_0_147,plain,
( response(l3,x2) != l2
| response(l2,response(kestrel,X1)) = l2 ),
inference(resolve,[$cnf( $equal(response(l2,response(kestrel,X1)),response(l3,x2)) )],[refute_0_136,refute_0_146]) ).
cnf(refute_0_148,plain,
response(l2,response(kestrel,X1)) = l2,
inference(resolve,[$cnf( $equal(response(l3,x2),l2) )],[refute_0_145,refute_0_147]) ).
cnf(refute_0_149,plain,
response(lark,X_2) = response(l3,x2),
inference(subst,[],[refute_0_141:[bind(X1,$fot(X_2))]]) ).
cnf(refute_0_150,plain,
( response(l3,x2) != l2
| response(lark,X_2) != response(l3,x2)
| response(lark,X_2) = l2 ),
inference(subst,[],[refute_0_96:[bind(X,$fot(response(lark,X_2))),bind(Y,$fot(response(l3,x2))),bind(Z,$fot(l2))]]) ).
cnf(refute_0_151,plain,
( response(l3,x2) != l2
| response(lark,X_2) = l2 ),
inference(resolve,[$cnf( $equal(response(lark,X_2),response(l3,x2)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
response(lark,X_2) = l2,
inference(resolve,[$cnf( $equal(response(l3,x2),l2) )],[refute_0_145,refute_0_151]) ).
cnf(refute_0_153,plain,
response(response(lark,X_2),response(kestrel,X1)) = response(response(lark,X_2),response(kestrel,X1)),
introduced(tautology,[refl,[$fot(response(response(lark,X_2),response(kestrel,X1)))]]) ).
cnf(refute_0_154,plain,
( response(lark,X_2) != l2
| response(response(lark,X_2),response(kestrel,X1)) != response(response(lark,X_2),response(kestrel,X1))
| response(response(lark,X_2),response(kestrel,X1)) = response(l2,response(kestrel,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,X_2),response(kestrel,X1)),response(response(lark,X_2),response(kestrel,X1))) ),[1,0],$fot(l2)]]) ).
cnf(refute_0_155,plain,
( response(lark,X_2) != l2
| response(response(lark,X_2),response(kestrel,X1)) = response(l2,response(kestrel,X1)) ),
inference(resolve,[$cnf( $equal(response(response(lark,X_2),response(kestrel,X1)),response(response(lark,X_2),response(kestrel,X1))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
response(response(lark,X_2),response(kestrel,X1)) = response(l2,response(kestrel,X1)),
inference(resolve,[$cnf( $equal(response(lark,X_2),l2) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
( response(l2,response(kestrel,X1)) != l2
| response(response(lark,X_2),response(kestrel,X1)) != response(l2,response(kestrel,X1))
| response(response(lark,X_2),response(kestrel,X1)) = l2 ),
inference(subst,[],[refute_0_96:[bind(X,$fot(response(response(lark,X_2),response(kestrel,X1)))),bind(Y,$fot(response(l2,response(kestrel,X1)))),bind(Z,$fot(l2))]]) ).
cnf(refute_0_158,plain,
( response(l2,response(kestrel,X1)) != l2
| response(response(lark,X_2),response(kestrel,X1)) = l2 ),
inference(resolve,[$cnf( $equal(response(response(lark,X_2),response(kestrel,X1)),response(l2,response(kestrel,X1))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
response(response(lark,X_2),response(kestrel,X1)) = l2,
inference(resolve,[$cnf( $equal(response(l2,response(kestrel,X1)),l2) )],[refute_0_148,refute_0_158]) ).
cnf(refute_0_160,plain,
( response(response(lark,X_2),response(kestrel,X1)) != l2
| response(response(lark,X_2),response(kestrel,X1)) != response(X_2,X1)
| l2 = response(X_2,X1) ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,X_2),response(kestrel,X1)),response(X_2,X1)) ),[0],$fot(l2)]]) ).
cnf(refute_0_161,plain,
( response(response(lark,X_2),response(kestrel,X1)) != response(X_2,X1)
| l2 = response(X_2,X1) ),
inference(resolve,[$cnf( $equal(response(response(lark,X_2),response(kestrel,X1)),l2) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
l2 = response(X_2,X1),
inference(resolve,[$cnf( $equal(response(response(lark,X_2),response(kestrel,X1)),response(X_2,X1)) )],[refute_0_19,refute_0_161]) ).
cnf(refute_0_163,plain,
( l2 != response(X_2,X1)
| response(X_2,X1) = l2 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(l2)),bind(Y,$fot(response(X_2,X1)))]]) ).
cnf(refute_0_164,plain,
response(X_2,X1) = l2,
inference(resolve,[$cnf( $equal(l2,response(X_2,X1)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
response(response(kestrel,X1),X2) = l2,
inference(subst,[],[refute_0_164:[bind(X1,$fot(X2)),bind(X_2,$fot(response(kestrel,X1)))]]) ).
cnf(refute_0_166,plain,
( response(response(kestrel,X1),X2) != X1
| response(response(kestrel,X1),X2) != l2
| l2 = X1 ),
introduced(tautology,[equality,[$cnf( $equal(response(response(kestrel,X1),X2),X1) ),[0],$fot(l2)]]) ).
cnf(refute_0_167,plain,
( response(response(kestrel,X1),X2) != X1
| l2 = X1 ),
inference(resolve,[$cnf( $equal(response(response(kestrel,X1),X2),l2) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
l2 = X1,
inference(resolve,[$cnf( $equal(response(response(kestrel,X1),X2),X1) )],[kestrel_exists,refute_0_167]) ).
cnf(refute_0_169,plain,
( l2 != X1
| X1 = l2 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(l2)),bind(Y,$fot(X1))]]) ).
cnf(refute_0_170,plain,
X1 = l2,
inference(resolve,[$cnf( $equal(l2,X1) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
response(response(lark,response(lark,response(kestrel,X_5))),X2) = l2,
inference(subst,[],[refute_0_170:[bind(X1,$fot(response(response(lark,response(lark,response(kestrel,X_5))),X2)))]]) ).
cnf(refute_0_172,plain,
( response(response(lark,response(lark,response(kestrel,X_5))),X2) != X_5
| response(response(lark,response(lark,response(kestrel,X_5))),X2) != l2
| l2 = X_5 ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,response(lark,response(kestrel,X_5))),X2),X_5) ),[0],$fot(l2)]]) ).
cnf(refute_0_173,plain,
( response(response(lark,response(lark,response(kestrel,X_5))),X2) != X_5
| l2 = X_5 ),
inference(resolve,[$cnf( $equal(response(response(lark,response(lark,response(kestrel,X_5))),X2),l2) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
l2 = X_5,
inference(resolve,[$cnf( $equal(response(response(lark,response(lark,response(kestrel,X_5))),X2),X_5) )],[refute_0_14,refute_0_173]) ).
cnf(refute_0_175,plain,
response(response(lark,response(kestrel,kestrel)),X_6) = kestrel,
inference(subst,[],[refute_0_10:[bind(X1,$fot(kestrel)),bind(X_3,$fot(X_6))]]) ).
cnf(refute_0_176,plain,
response(l2,kestrel) = response(lark,response(kestrel,kestrel)),
inference(subst,[],[refute_0_23:[bind(X_3,$fot(kestrel))]]) ).
cnf(refute_0_177,plain,
( response(l2,kestrel) != response(lark,response(kestrel,kestrel))
| response(lark,response(kestrel,kestrel)) = response(l2,kestrel) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(response(l2,kestrel))),bind(Y,$fot(response(lark,response(kestrel,kestrel))))]]) ).
cnf(refute_0_178,plain,
response(lark,response(kestrel,kestrel)) = response(l2,kestrel),
inference(resolve,[$cnf( $equal(response(l2,kestrel),response(lark,response(kestrel,kestrel))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
( response(lark,response(kestrel,kestrel)) != response(l2,kestrel)
| response(response(lark,response(kestrel,kestrel)),X_6) != kestrel
| response(response(l2,kestrel),X_6) = kestrel ),
introduced(tautology,[equality,[$cnf( $equal(response(response(lark,response(kestrel,kestrel)),X_6),kestrel) ),[0,0],$fot(response(l2,kestrel))]]) ).
cnf(refute_0_180,plain,
( response(response(lark,response(kestrel,kestrel)),X_6) != kestrel
| response(response(l2,kestrel),X_6) = kestrel ),
inference(resolve,[$cnf( $equal(response(lark,response(kestrel,kestrel)),response(l2,kestrel)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
response(response(l2,kestrel),X_6) = kestrel,
inference(resolve,[$cnf( $equal(response(response(lark,response(kestrel,kestrel)),X_6),kestrel) )],[refute_0_175,refute_0_180]) ).
cnf(refute_0_182,plain,
( l2 != X_5
| X_5 = l2 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(l2)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_183,plain,
X_5 = l2,
inference(resolve,[$cnf( $equal(l2,X_5) )],[refute_0_174,refute_0_182]) ).
cnf(refute_0_184,plain,
response(response(l2,kestrel),X_6) = l2,
inference(subst,[],[refute_0_183:[bind(X_5,$fot(response(response(l2,kestrel),X_6)))]]) ).
cnf(refute_0_185,plain,
( response(response(l2,kestrel),X_6) != kestrel
| response(response(l2,kestrel),X_6) != l2
| l2 = kestrel ),
introduced(tautology,[equality,[$cnf( $equal(response(response(l2,kestrel),X_6),kestrel) ),[0],$fot(l2)]]) ).
cnf(refute_0_186,plain,
( response(response(l2,kestrel),X_6) != kestrel
| l2 = kestrel ),
inference(resolve,[$cnf( $equal(response(response(l2,kestrel),X_6),l2) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
l2 = kestrel,
inference(resolve,[$cnf( $equal(response(response(l2,kestrel),X_6),kestrel) )],[refute_0_181,refute_0_186]) ).
cnf(refute_0_188,plain,
( l2 != X_5
| l2 != kestrel
| kestrel = X_5 ),
introduced(tautology,[equality,[$cnf( $equal(l2,X_5) ),[0],$fot(kestrel)]]) ).
cnf(refute_0_189,plain,
( l2 != X_5
| kestrel = X_5 ),
inference(resolve,[$cnf( $equal(l2,kestrel) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
kestrel = X_5,
inference(resolve,[$cnf( $equal(l2,X_5) )],[refute_0_174,refute_0_189]) ).
cnf(refute_0_191,plain,
( kestrel != X_5
| X_5 = kestrel ),
inference(subst,[],[refute_0_5:[bind(X,$fot(kestrel)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_192,plain,
X_5 = kestrel,
inference(resolve,[$cnf( $equal(kestrel,X_5) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
response(l2,l2) = kestrel,
inference(subst,[],[refute_0_192:[bind(X_5,$fot(response(l2,l2)))]]) ).
cnf(refute_0_194,plain,
( kestrel != l2
| response(l2,l2) != kestrel
| response(l2,l2) = l2 ),
introduced(tautology,[equality,[$cnf( $equal(response(l2,l2),kestrel) ),[1],$fot(l2)]]) ).
cnf(refute_0_195,plain,
( kestrel != l2
| response(l2,l2) = l2 ),
inference(resolve,[$cnf( $equal(response(l2,l2),kestrel) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
( kestrel != kestrel
| l2 != kestrel
| kestrel = l2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(kestrel,l2) ),[1],$fot(kestrel)]]) ).
cnf(refute_0_197,plain,
( kestrel != kestrel
| kestrel = l2 ),
inference(resolve,[$cnf( $equal(l2,kestrel) )],[refute_0_187,refute_0_196]) ).
cnf(refute_0_198,plain,
( kestrel != kestrel
| response(l2,l2) = l2 ),
inference(resolve,[$cnf( $equal(kestrel,l2) )],[refute_0_197,refute_0_195]) ).
cnf(refute_0_199,plain,
kestrel != kestrel,
inference(resolve,[$cnf( $equal(response(l2,l2),l2) )],[refute_0_198,lark_not_egocentric]) ).
cnf(refute_0_200,plain,
kestrel = kestrel,
introduced(tautology,[refl,[$fot(kestrel)]]) ).
cnf(refute_0_201,plain,
$false,
inference(resolve,[$cnf( $equal(kestrel,kestrel) )],[refute_0_200,refute_0_199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue May 31 15:10:41 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36
% 0.18/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.40
%------------------------------------------------------------------------------