TSTP Solution File: HWV014-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV014-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 : Sat Jul 16 18:29:39 EDT 2022
% Result : Unsatisfiable 193.86s 194.06s
% Output : CNFRefutation 193.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 101
% Syntax : Number of clauses : 355 ( 84 unt; 134 nHn; 323 RR)
% Number of literals : 766 ( 408 equ; 274 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 110 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
plus(X_0,n1) != n0 ).
cnf(axiom_2,axiom,
gt(plus(X_1,n1),n0) ).
cnf(axiom_3,axiom,
( ~ gt(X_2,n0)
| gt(X_2,minus(X_2,n1)) ) ).
cnf(axiom_4,axiom,
( minus(X_3,Y_4) != Z_5
| plus(Z_5,Y_4) = X_3
| def_10(Y_4,X_3) ) ).
cnf(axiom_5,axiom,
( minus(X_3,Y_4) = Z_5
| plus(Z_5,Y_4) != X_3
| def_10(Y_4,X_3) ) ).
cnf(axiom_6,axiom,
( ~ def_10(Y_4,X_3)
| ~ gt(X_3,Y_4) ) ).
cnf(axiom_7,axiom,
( ~ def_10(Y_4,X_3)
| X_3 != Y_4 ) ).
cnf(axiom_8,axiom,
( ~ gt(Y_12,X_11)
| gt(plus(Y_12,n1),plus(X_11,n1)) ) ).
cnf(axiom_9,axiom,
( gt(Y_12,X_11)
| ~ gt(plus(Y_12,n1),plus(X_11,n1)) ) ).
cnf(axiom_10,axiom,
( gt(X_13,Y_14)
| ~ gt(plus(X_13,n1),Y_14)
| Y_14 = X_13 ) ).
cnf(axiom_14,axiom,
( ~ gt(Y_24,X_23)
| plus(X_23,n1) = Y_24
| gt(Y_24,plus(X_23,n1)) ) ).
cnf(axiom_16,axiom,
( X_26 = n0
| X_26 = plus(y_27(X_26),n1) ) ).
cnf(axiom_17,axiom,
~ gt(X_28,X_28) ).
cnf(axiom_18,axiom,
( plus(X_29,n1) != plus(Y_30,n1)
| X_29 = Y_30 ) ).
cnf(axiom_19,axiom,
plus(n0,X_31) = X_31 ).
cnf(axiom_21,axiom,
level(X_t_32) = int_level(X_t_32) ).
cnf(axiom_71,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| int_level(plus(X_t_42,n1)) = minus(int_level(X_t_42),n1) ) ).
cnf(quest_1,negated_conjecture,
gt(level(x_139),n0) ).
cnf(quest_2,negated_conjecture,
p_Rd(x_139) ).
cnf(quest_3,negated_conjecture,
~ p_Wr(x_139) ).
cnf(quest_4,negated_conjecture,
~ p_Reset(x_139) ).
cnf(quest_5,negated_conjecture,
level(plus(x_139,n1)) != minus(level(x_139),n1) ).
cnf(refute_0_0,plain,
level(x_139) = int_level(x_139),
inference(subst,[],[axiom_21:[bind(X_t_32,$fot(x_139))]]) ).
cnf(refute_0_1,plain,
( level(x_139) != int_level(x_139)
| ~ gt(level(x_139),n0)
| gt(int_level(x_139),n0) ),
introduced(tautology,[equality,[$cnf( gt(level(x_139),n0) ),[0],$fot(int_level(x_139))]]) ).
cnf(refute_0_2,plain,
( ~ gt(level(x_139),n0)
| gt(int_level(x_139),n0) ),
inference(resolve,[$cnf( $equal(level(x_139),int_level(x_139)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
gt(int_level(x_139),n0),
inference(resolve,[$cnf( gt(level(x_139),n0) )],[quest_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ gt(int_level(x_139),n0)
| ~ p_Rd(x_139)
| int_level(plus(x_139,n1)) = minus(int_level(x_139),n1)
| p_Reset(x_139)
| p_Wr(x_139) ),
inference(subst,[],[axiom_71:[bind(X_t_42,$fot(x_139))]]) ).
cnf(refute_0_5,plain,
( ~ p_Rd(x_139)
| int_level(plus(x_139,n1)) = minus(int_level(x_139),n1)
| p_Reset(x_139)
| p_Wr(x_139) ),
inference(resolve,[$cnf( gt(int_level(x_139),n0) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( plus(y_27(X_26),n1) != plus(X_78,n1)
| y_27(X_26) = X_78 ),
inference(subst,[],[axiom_18:[bind(X_29,$fot(y_27(X_26))),bind(Y_30,$fot(X_78))]]) ).
cnf(refute_0_7,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_8,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_9,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( X_26 != plus(y_27(X_26),n1)
| plus(y_27(X_26),n1) = X_26 ),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_26)),bind(Y,$fot(plus(y_27(X_26),n1)))]]) ).
cnf(refute_0_11,plain,
( X_26 = n0
| plus(y_27(X_26),n1) = X_26 ),
inference(resolve,[$cnf( $equal(X_26,plus(y_27(X_26),n1)) )],[axiom_16,refute_0_10]) ).
cnf(refute_0_12,plain,
( X_26 != plus(X_78,n1)
| plus(y_27(X_26),n1) != X_26
| plus(y_27(X_26),n1) = plus(X_78,n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(y_27(X_26),n1),X_26) ),[1],$fot(plus(X_78,n1))]]) ).
cnf(refute_0_13,plain,
( X_26 != plus(X_78,n1)
| X_26 = n0
| plus(y_27(X_26),n1) = plus(X_78,n1) ),
inference(resolve,[$cnf( $equal(plus(y_27(X_26),n1),X_26) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( X_26 != plus(X_78,n1)
| X_26 = n0
| y_27(X_26) = X_78 ),
inference(resolve,[$cnf( $equal(plus(y_27(X_26),n1),plus(X_78,n1)) )],[refute_0_13,refute_0_6]) ).
cnf(refute_0_15,plain,
( plus(X_78,n1) != plus(X_78,n1)
| plus(X_78,n1) = n0
| y_27(plus(X_78,n1)) = X_78 ),
inference(subst,[],[refute_0_14:[bind(X_26,$fot(plus(X_78,n1)))]]) ).
cnf(refute_0_16,plain,
plus(X_78,n1) = plus(X_78,n1),
introduced(tautology,[refl,[$fot(plus(X_78,n1))]]) ).
cnf(refute_0_17,plain,
( plus(X_78,n1) = n0
| y_27(plus(X_78,n1)) = X_78 ),
inference(resolve,[$cnf( $equal(plus(X_78,n1),plus(X_78,n1)) )],[refute_0_16,refute_0_15]) ).
cnf(refute_0_18,plain,
plus(X_78,n1) != n0,
inference(subst,[],[axiom_1:[bind(X_0,$fot(X_78))]]) ).
cnf(refute_0_19,plain,
y_27(plus(X_78,n1)) = X_78,
inference(resolve,[$cnf( $equal(plus(X_78,n1),n0) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
y_27(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) = minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),
inference(subst,[],[refute_0_19:[bind(X_78,$fot(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)))]]) ).
cnf(refute_0_21,plain,
y_27(plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1)) = plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),
inference(subst,[],[refute_0_19:[bind(X_78,$fot(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)))]]) ).
cnf(refute_0_22,plain,
( ~ gt(int_level(x_139),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| gt(plus(int_level(x_139),n1),plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))),bind(Y_12,$fot(int_level(x_139)))]]) ).
cnf(refute_0_23,plain,
( ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n0)
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
inference(subst,[],[axiom_3:[bind(X_2,$fot(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)))]]) ).
cnf(refute_0_24,plain,
( ~ gt(plus(X_68,n1),plus(n0,n1))
| gt(X_68,n0) ),
inference(subst,[],[axiom_9:[bind(X_11,$fot(n0)),bind(Y_12,$fot(X_68))]]) ).
cnf(refute_0_25,plain,
plus(n0,n1) = n1,
inference(subst,[],[axiom_19:[bind(X_31,$fot(n1))]]) ).
cnf(refute_0_26,plain,
( plus(n0,n1) != n1
| ~ gt(plus(X_68,n1),n1)
| gt(plus(X_68,n1),plus(n0,n1)) ),
introduced(tautology,[equality,[$cnf( ~ gt(plus(X_68,n1),plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_27,plain,
( ~ gt(plus(X_68,n1),n1)
| gt(plus(X_68,n1),plus(n0,n1)) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ gt(plus(X_68,n1),n1)
| gt(X_68,n0) ),
inference(resolve,[$cnf( gt(plus(X_68,n1),plus(n0,n1)) )],[refute_0_27,refute_0_24]) ).
cnf(refute_0_29,plain,
( ~ gt(plus(minus(X_3,n1),n1),n1)
| gt(minus(X_3,n1),n0) ),
inference(subst,[],[refute_0_28:[bind(X_68,$fot(minus(X_3,n1)))]]) ).
cnf(refute_0_30,plain,
( minus(X_3,Y_4) != minus(X_3,Y_4)
| plus(minus(X_3,Y_4),Y_4) = X_3
| def_10(Y_4,X_3) ),
inference(subst,[],[axiom_4:[bind(Z_5,$fot(minus(X_3,Y_4)))]]) ).
cnf(refute_0_31,plain,
minus(X_3,Y_4) = minus(X_3,Y_4),
introduced(tautology,[refl,[$fot(minus(X_3,Y_4))]]) ).
cnf(refute_0_32,plain,
( plus(minus(X_3,Y_4),Y_4) = X_3
| def_10(Y_4,X_3) ),
inference(resolve,[$cnf( $equal(minus(X_3,Y_4),minus(X_3,Y_4)) )],[refute_0_31,refute_0_30]) ).
cnf(refute_0_33,plain,
( plus(minus(X_3,n1),n1) = X_3
| def_10(n1,X_3) ),
inference(subst,[],[refute_0_32:[bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_34,plain,
( plus(minus(X_3,n1),n1) != X_3
| ~ gt(X_3,n1)
| gt(plus(minus(X_3,n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( ~ gt(plus(minus(X_3,n1),n1),n1) ),[0],$fot(X_3)]]) ).
cnf(refute_0_35,plain,
( ~ gt(X_3,n1)
| def_10(n1,X_3)
| gt(plus(minus(X_3,n1),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(minus(X_3,n1),n1),X_3) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ gt(X_3,n1)
| def_10(n1,X_3)
| gt(minus(X_3,n1),n0) ),
inference(resolve,[$cnf( gt(plus(minus(X_3,n1),n1),n1) )],[refute_0_35,refute_0_29]) ).
cnf(refute_0_37,plain,
( ~ gt(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,plus(minus(plus(int_level(x_139),n1),n1),n1))
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n0) ),
inference(subst,[],[refute_0_36:[bind(X_3,$fot(plus(minus(plus(int_level(x_139),n1),n1),n1)))]]) ).
cnf(refute_0_38,plain,
( ~ gt(minus(plus(int_level(x_139),n1),n1),n0)
| gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n0,n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(n0)),bind(Y_12,$fot(minus(plus(int_level(x_139),n1),n1)))]]) ).
cnf(refute_0_39,plain,
( ~ gt(int_level(x_139),n0)
| gt(plus(int_level(x_139),n1),plus(n0,n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(n0)),bind(Y_12,$fot(int_level(x_139)))]]) ).
cnf(refute_0_40,plain,
gt(plus(int_level(x_139),n1),plus(n0,n1)),
inference(resolve,[$cnf( gt(int_level(x_139),n0) )],[refute_0_3,refute_0_39]) ).
cnf(refute_0_41,plain,
( plus(n0,n1) != n1
| ~ gt(plus(int_level(x_139),n1),plus(n0,n1))
| gt(plus(int_level(x_139),n1),n1) ),
introduced(tautology,[equality,[$cnf( gt(plus(int_level(x_139),n1),plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_42,plain,
( ~ gt(plus(int_level(x_139),n1),plus(n0,n1))
| gt(plus(int_level(x_139),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_25,refute_0_41]) ).
cnf(refute_0_43,plain,
gt(plus(int_level(x_139),n1),n1),
inference(resolve,[$cnf( gt(plus(int_level(x_139),n1),plus(n0,n1)) )],[refute_0_40,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ gt(plus(int_level(x_139),n1),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(int_level(x_139),n1),n1),n0) ),
inference(subst,[],[refute_0_36:[bind(X_3,$fot(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_45,plain,
( def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(int_level(x_139),n1),n1),n0) ),
inference(resolve,[$cnf( gt(plus(int_level(x_139),n1),n1) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ def_10(n1,plus(int_level(x_139),n1))
| ~ gt(plus(int_level(x_139),n1),n1) ),
inference(subst,[],[axiom_6:[bind(X_3,$fot(plus(int_level(x_139),n1))),bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_47,plain,
~ def_10(n1,plus(int_level(x_139),n1)),
inference(resolve,[$cnf( gt(plus(int_level(x_139),n1),n1) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
gt(minus(plus(int_level(x_139),n1),n1),n0),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_45,refute_0_47]) ).
cnf(refute_0_49,plain,
gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n0,n1)),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),n0) )],[refute_0_48,refute_0_38]) ).
cnf(refute_0_50,plain,
( plus(n0,n1) != n1
| ~ gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n0,n1))
| gt(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_51,plain,
( ~ gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n0,n1))
| gt(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_25,refute_0_50]) ).
cnf(refute_0_52,plain,
gt(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),
inference(resolve,[$cnf( gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n0,n1)) )],[refute_0_49,refute_0_51]) ).
cnf(refute_0_53,plain,
( def_10(n1,plus(minus(plus(int_level(x_139),n1),n1),n1))
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n0) ),
inference(resolve,[$cnf( gt(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) )],[refute_0_52,refute_0_37]) ).
cnf(refute_0_54,plain,
( ~ def_10(n1,plus(minus(plus(int_level(x_139),n1),n1),n1))
| ~ gt(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
inference(subst,[],[axiom_6:[bind(X_3,$fot(plus(minus(plus(int_level(x_139),n1),n1),n1))),bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_55,plain,
~ def_10(n1,plus(minus(plus(int_level(x_139),n1),n1),n1)),
inference(resolve,[$cnf( gt(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) )],[refute_0_52,refute_0_54]) ).
cnf(refute_0_56,plain,
gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n0),
inference(resolve,[$cnf( def_10(n1,plus(minus(plus(int_level(x_139),n1),n1),n1)) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)),
inference(resolve,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n0) )],[refute_0_56,refute_0_23]) ).
cnf(refute_0_58,plain,
y_27(plus(minus(X_3,n1),n1)) = minus(X_3,n1),
inference(subst,[],[refute_0_19:[bind(X_78,$fot(minus(X_3,n1)))]]) ).
cnf(refute_0_59,plain,
( plus(minus(X_3,n1),n1) != X_3
| y_27(plus(minus(X_3,n1),n1)) != minus(X_3,n1)
| y_27(X_3) = minus(X_3,n1) ),
introduced(tautology,[equality,[$cnf( $equal(y_27(plus(minus(X_3,n1),n1)),minus(X_3,n1)) ),[0,0],$fot(X_3)]]) ).
cnf(refute_0_60,plain,
( y_27(plus(minus(X_3,n1),n1)) != minus(X_3,n1)
| y_27(X_3) = minus(X_3,n1)
| def_10(n1,X_3) ),
inference(resolve,[$cnf( $equal(plus(minus(X_3,n1),n1),X_3) )],[refute_0_33,refute_0_59]) ).
cnf(refute_0_61,plain,
( y_27(X_3) = minus(X_3,n1)
| def_10(n1,X_3) ),
inference(resolve,[$cnf( $equal(y_27(plus(minus(X_3,n1),n1)),minus(X_3,n1)) )],[refute_0_58,refute_0_60]) ).
cnf(refute_0_62,plain,
( y_27(plus(int_level(x_139),n1)) = minus(plus(int_level(x_139),n1),n1)
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(subst,[],[refute_0_61:[bind(X_3,$fot(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_63,plain,
( y_27(plus(int_level(x_139),n1)) != minus(plus(int_level(x_139),n1),n1)
| minus(plus(int_level(x_139),n1),n1) = y_27(plus(int_level(x_139),n1)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(y_27(plus(int_level(x_139),n1)))),bind(Y,$fot(minus(plus(int_level(x_139),n1),n1)))]]) ).
cnf(refute_0_64,plain,
( minus(plus(int_level(x_139),n1),n1) = y_27(plus(int_level(x_139),n1))
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),minus(plus(int_level(x_139),n1),n1)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( minus(plus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),[0,0,0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_66,plain,
( ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) )],[refute_0_57,refute_0_66]) ).
cnf(refute_0_68,plain,
y_27(plus(int_level(x_139),n1)) = int_level(x_139),
inference(subst,[],[refute_0_19:[bind(X_78,$fot(int_level(x_139)))]]) ).
cnf(refute_0_69,plain,
plus(y_27(plus(int_level(x_139),n1)),n1) = plus(y_27(plus(int_level(x_139),n1)),n1),
introduced(tautology,[refl,[$fot(plus(y_27(plus(int_level(x_139),n1)),n1))]]) ).
cnf(refute_0_70,plain,
( plus(y_27(plus(int_level(x_139),n1)),n1) != plus(y_27(plus(int_level(x_139),n1)),n1)
| y_27(plus(int_level(x_139),n1)) != int_level(x_139)
| plus(y_27(plus(int_level(x_139),n1)),n1) = plus(int_level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(y_27(plus(int_level(x_139),n1)),n1),plus(y_27(plus(int_level(x_139),n1)),n1)) ),[1,0],$fot(int_level(x_139))]]) ).
cnf(refute_0_71,plain,
( y_27(plus(int_level(x_139),n1)) != int_level(x_139)
| plus(y_27(plus(int_level(x_139),n1)),n1) = plus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(plus(y_27(plus(int_level(x_139),n1)),n1),plus(y_27(plus(int_level(x_139),n1)),n1)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
plus(y_27(plus(int_level(x_139),n1)),n1) = plus(int_level(x_139),n1),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),int_level(x_139)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) = minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),
introduced(tautology,[refl,[$fot(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1))]]) ).
cnf(refute_0_74,plain,
( minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) != minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1)
| plus(y_27(plus(int_level(x_139),n1)),n1) != plus(int_level(x_139),n1)
| minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) = minus(plus(int_level(x_139),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1)) ),[1,0],$fot(plus(int_level(x_139),n1))]]) ).
cnf(refute_0_75,plain,
( plus(y_27(plus(int_level(x_139),n1)),n1) != plus(int_level(x_139),n1)
| minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) = minus(plus(int_level(x_139),n1),n1) ),
inference(resolve,[$cnf( $equal(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) = minus(plus(int_level(x_139),n1),n1),
inference(resolve,[$cnf( $equal(plus(y_27(plus(int_level(x_139),n1)),n1),plus(int_level(x_139),n1)) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
( minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) != minus(plus(int_level(x_139),n1),n1)
| ~ gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),[0],$fot(minus(plus(int_level(x_139),n1),n1))]]) ).
cnf(refute_0_78,plain,
( ~ gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(plus(int_level(x_139),n1),n1)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) )],[refute_0_67,refute_0_78]) ).
cnf(refute_0_80,plain,
gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_79,refute_0_47]) ).
cnf(refute_0_81,plain,
( minus(plus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| ~ gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| gt(y_27(plus(int_level(x_139),n1)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),[0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_82,plain,
( ~ gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| def_10(n1,plus(int_level(x_139),n1))
| gt(y_27(plus(int_level(x_139),n1)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_64,refute_0_81]) ).
cnf(refute_0_83,plain,
( def_10(n1,plus(int_level(x_139),n1))
| gt(y_27(plus(int_level(x_139),n1)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) )],[refute_0_80,refute_0_82]) ).
cnf(refute_0_84,plain,
( y_27(plus(int_level(x_139),n1)) != int_level(x_139)
| ~ gt(y_27(plus(int_level(x_139),n1)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| gt(int_level(x_139),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(y_27(plus(int_level(x_139),n1)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),[0],$fot(int_level(x_139))]]) ).
cnf(refute_0_85,plain,
( ~ gt(y_27(plus(int_level(x_139),n1)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| gt(int_level(x_139),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),int_level(x_139)) )],[refute_0_68,refute_0_84]) ).
cnf(refute_0_86,plain,
( def_10(n1,plus(int_level(x_139),n1))
| gt(int_level(x_139),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(y_27(plus(int_level(x_139),n1)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) )],[refute_0_83,refute_0_85]) ).
cnf(refute_0_87,plain,
gt(int_level(x_139),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_86,refute_0_47]) ).
cnf(refute_0_88,plain,
gt(plus(int_level(x_139),n1),plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)),
inference(resolve,[$cnf( gt(int_level(x_139),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) )],[refute_0_87,refute_0_22]) ).
cnf(refute_0_89,plain,
( ~ gt(plus(int_level(x_139),n1),plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1))
| plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1)
| gt(plus(int_level(x_139),n1),plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1)) ),
inference(subst,[],[axiom_14:[bind(X_23,$fot(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1))),bind(Y_24,$fot(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_90,plain,
( plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1)
| gt(plus(int_level(x_139),n1),plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(plus(int_level(x_139),n1),plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)
| gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n1,n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(n1)),bind(Y_12,$fot(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)))]]) ).
cnf(refute_0_92,plain,
( ~ gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)
| n1 = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) ),
inference(subst,[],[axiom_10:[bind(X_13,$fot(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1))),bind(Y_14,$fot(n1))]]) ).
cnf(refute_0_93,plain,
( ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n0)
| gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n0,n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(n0)),bind(Y_12,$fot(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)))]]) ).
cnf(refute_0_94,plain,
gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n0,n1)),
inference(resolve,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n0) )],[refute_0_56,refute_0_93]) ).
cnf(refute_0_95,plain,
( plus(n0,n1) != n1
| ~ gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n0,n1))
| gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_96,plain,
( ~ gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n0,n1))
| gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_25,refute_0_95]) ).
cnf(refute_0_97,plain,
gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),
inference(resolve,[$cnf( gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n0,n1)) )],[refute_0_94,refute_0_96]) ).
cnf(refute_0_98,plain,
( n1 = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) ),
inference(resolve,[$cnf( gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1) )],[refute_0_97,refute_0_92]) ).
cnf(refute_0_99,plain,
( n1 = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) )],[refute_0_98,refute_0_91]) ).
cnf(refute_0_100,plain,
( minus(plus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| ~ gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n1,n1))
| gt(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(n1,n1)) ),
introduced(tautology,[equality,[$cnf( gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n1,n1)) ),[0,0,0,0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_101,plain,
( ~ gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n1,n1))
| def_10(n1,plus(int_level(x_139),n1))
| gt(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_64,refute_0_100]) ).
cnf(refute_0_102,plain,
( n1 = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(plus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(n1,n1)) )],[refute_0_99,refute_0_101]) ).
cnf(refute_0_103,plain,
plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) = plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),
introduced(tautology,[refl,[$fot(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1))]]) ).
cnf(refute_0_104,plain,
( minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) != minus(plus(int_level(x_139),n1),n1)
| plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) != plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)
| plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) = plus(minus(plus(int_level(x_139),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)) ),[1,0],$fot(minus(plus(int_level(x_139),n1),n1))]]) ).
cnf(refute_0_105,plain,
( minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) != minus(plus(int_level(x_139),n1),n1)
| plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) = plus(minus(plus(int_level(x_139),n1),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) = plus(minus(plus(int_level(x_139),n1),n1),n1),
inference(resolve,[$cnf( $equal(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(plus(int_level(x_139),n1),n1)) )],[refute_0_76,refute_0_105]) ).
cnf(refute_0_107,plain,
( plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) != plus(minus(plus(int_level(x_139),n1),n1),n1)
| ~ gt(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(n1,n1))
| gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n1,n1)) ),
introduced(tautology,[equality,[$cnf( gt(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(n1,n1)) ),[0],$fot(plus(minus(plus(int_level(x_139),n1),n1),n1))]]) ).
cnf(refute_0_108,plain,
( ~ gt(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(n1,n1))
| gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(minus(plus(int_level(x_139),n1),n1),n1)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( n1 = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(plus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),plus(n1,n1)) )],[refute_0_102,refute_0_108]) ).
cnf(refute_0_110,plain,
( n1 = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_109,refute_0_47]) ).
cnf(refute_0_111,plain,
( minus(plus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| ~ gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n1,n1))
| gt(plus(y_27(plus(int_level(x_139),n1)),n1),plus(n1,n1)) ),
introduced(tautology,[equality,[$cnf( gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n1,n1)) ),[0,0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_112,plain,
( ~ gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n1,n1))
| def_10(n1,plus(int_level(x_139),n1))
| gt(plus(y_27(plus(int_level(x_139),n1)),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_64,refute_0_111]) ).
cnf(refute_0_113,plain,
( n1 = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(plus(y_27(plus(int_level(x_139),n1)),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(n1,n1)) )],[refute_0_110,refute_0_112]) ).
cnf(refute_0_114,plain,
( plus(y_27(plus(int_level(x_139),n1)),n1) != plus(int_level(x_139),n1)
| ~ gt(plus(y_27(plus(int_level(x_139),n1)),n1),plus(n1,n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
introduced(tautology,[equality,[$cnf( gt(plus(y_27(plus(int_level(x_139),n1)),n1),plus(n1,n1)) ),[0],$fot(plus(int_level(x_139),n1))]]) ).
cnf(refute_0_115,plain,
( ~ gt(plus(y_27(plus(int_level(x_139),n1)),n1),plus(n1,n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(y_27(plus(int_level(x_139),n1)),n1),plus(int_level(x_139),n1)) )],[refute_0_72,refute_0_114]) ).
cnf(refute_0_116,plain,
( n1 = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(plus(y_27(plus(int_level(x_139),n1)),n1),plus(n1,n1)) )],[refute_0_113,refute_0_115]) ).
cnf(refute_0_117,plain,
( n1 = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_116,refute_0_47]) ).
cnf(refute_0_118,plain,
( n1 != minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) = n1 ),
inference(subst,[],[refute_0_9:[bind(X,$fot(n1)),bind(Y,$fot(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)))]]) ).
cnf(refute_0_119,plain,
( minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) = n1
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(n1,minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) != n1
| ~ gt(plus(int_level(x_139),n1),plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1))
| gt(plus(int_level(x_139),n1),plus(plus(minus(n1,n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(plus(int_level(x_139),n1),plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1)) ),[1,0,0,0],$fot(n1)]]) ).
cnf(refute_0_121,plain,
( ~ gt(plus(int_level(x_139),n1),plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1))
| gt(plus(int_level(x_139),n1),plus(plus(minus(n1,n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1))
| gt(plus(int_level(x_139),n1),plus(plus(minus(n1,n1),n1),n1)) ),
inference(resolve,[$cnf( gt(plus(int_level(x_139),n1),plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1)) )],[refute_0_90,refute_0_121]) ).
cnf(refute_0_123,plain,
( plus(Z_5,Y_4) != plus(Z_5,Y_4)
| minus(plus(Z_5,Y_4),Y_4) = Z_5
| def_10(Y_4,plus(Z_5,Y_4)) ),
inference(subst,[],[axiom_5:[bind(X_3,$fot(plus(Z_5,Y_4)))]]) ).
cnf(refute_0_124,plain,
plus(Z_5,Y_4) = plus(Z_5,Y_4),
introduced(tautology,[refl,[$fot(plus(Z_5,Y_4))]]) ).
cnf(refute_0_125,plain,
( minus(plus(Z_5,Y_4),Y_4) = Z_5
| def_10(Y_4,plus(Z_5,Y_4)) ),
inference(resolve,[$cnf( $equal(plus(Z_5,Y_4),plus(Z_5,Y_4)) )],[refute_0_124,refute_0_123]) ).
cnf(refute_0_126,plain,
( minus(plus(n0,X_104),X_104) = n0
| def_10(X_104,plus(n0,X_104)) ),
inference(subst,[],[refute_0_125:[bind(Y_4,$fot(X_104)),bind(Z_5,$fot(n0))]]) ).
cnf(refute_0_127,plain,
plus(n0,X_104) = X_104,
inference(subst,[],[axiom_19:[bind(X_31,$fot(X_104))]]) ).
cnf(refute_0_128,plain,
( minus(plus(n0,X_104),X_104) != n0
| plus(n0,X_104) != X_104
| minus(X_104,X_104) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(minus(plus(n0,X_104),X_104),n0) ),[0,0],$fot(X_104)]]) ).
cnf(refute_0_129,plain,
( minus(plus(n0,X_104),X_104) != n0
| minus(X_104,X_104) = n0 ),
inference(resolve,[$cnf( $equal(plus(n0,X_104),X_104) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( minus(X_104,X_104) = n0
| def_10(X_104,plus(n0,X_104)) ),
inference(resolve,[$cnf( $equal(minus(plus(n0,X_104),X_104),n0) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
( plus(n0,X_104) != X_104
| ~ def_10(X_104,plus(n0,X_104))
| def_10(X_104,X_104) ),
introduced(tautology,[equality,[$cnf( def_10(X_104,plus(n0,X_104)) ),[1],$fot(X_104)]]) ).
cnf(refute_0_132,plain,
( ~ def_10(X_104,plus(n0,X_104))
| def_10(X_104,X_104) ),
inference(resolve,[$cnf( $equal(plus(n0,X_104),X_104) )],[refute_0_127,refute_0_131]) ).
cnf(refute_0_133,plain,
( minus(X_104,X_104) = n0
| def_10(X_104,X_104) ),
inference(resolve,[$cnf( def_10(X_104,plus(n0,X_104)) )],[refute_0_130,refute_0_132]) ).
cnf(refute_0_134,plain,
( Y_4 != Y_4
| ~ def_10(Y_4,Y_4) ),
inference(subst,[],[axiom_7:[bind(X_3,$fot(Y_4))]]) ).
cnf(refute_0_135,plain,
Y_4 = Y_4,
introduced(tautology,[refl,[$fot(Y_4)]]) ).
cnf(refute_0_136,plain,
~ def_10(Y_4,Y_4),
inference(resolve,[$cnf( $equal(Y_4,Y_4) )],[refute_0_135,refute_0_134]) ).
cnf(refute_0_137,plain,
~ def_10(X_104,X_104),
inference(subst,[],[refute_0_136:[bind(Y_4,$fot(X_104))]]) ).
cnf(refute_0_138,plain,
minus(X_104,X_104) = n0,
inference(resolve,[$cnf( def_10(X_104,X_104) )],[refute_0_133,refute_0_137]) ).
cnf(refute_0_139,plain,
minus(n1,n1) = n0,
inference(subst,[],[refute_0_138:[bind(X_104,$fot(n1))]]) ).
cnf(refute_0_140,plain,
plus(minus(n1,n1),n1) = plus(minus(n1,n1),n1),
introduced(tautology,[refl,[$fot(plus(minus(n1,n1),n1))]]) ).
cnf(refute_0_141,plain,
( minus(n1,n1) != n0
| plus(minus(n1,n1),n1) != plus(minus(n1,n1),n1)
| plus(minus(n1,n1),n1) = plus(n0,n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(n1,n1),n1),plus(minus(n1,n1),n1)) ),[1,0],$fot(n0)]]) ).
cnf(refute_0_142,plain,
( minus(n1,n1) != n0
| plus(minus(n1,n1),n1) = plus(n0,n1) ),
inference(resolve,[$cnf( $equal(plus(minus(n1,n1),n1),plus(minus(n1,n1),n1)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
plus(minus(n1,n1),n1) = plus(n0,n1),
inference(resolve,[$cnf( $equal(minus(n1,n1),n0) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_145,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_9,refute_0_144]) ).
cnf(refute_0_146,plain,
( plus(minus(n1,n1),n1) != plus(n0,n1)
| plus(n0,n1) != n1
| plus(minus(n1,n1),n1) = n1 ),
inference(subst,[],[refute_0_145:[bind(X,$fot(plus(minus(n1,n1),n1))),bind(Y,$fot(plus(n0,n1))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_147,plain,
( plus(n0,n1) != n1
| plus(minus(n1,n1),n1) = n1 ),
inference(resolve,[$cnf( $equal(plus(minus(n1,n1),n1),plus(n0,n1)) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
plus(minus(n1,n1),n1) = n1,
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_25,refute_0_147]) ).
cnf(refute_0_149,plain,
plus(plus(minus(n1,n1),n1),n1) = plus(plus(minus(n1,n1),n1),n1),
introduced(tautology,[refl,[$fot(plus(plus(minus(n1,n1),n1),n1))]]) ).
cnf(refute_0_150,plain,
( plus(minus(n1,n1),n1) != n1
| plus(plus(minus(n1,n1),n1),n1) != plus(plus(minus(n1,n1),n1),n1)
| plus(plus(minus(n1,n1),n1),n1) = plus(n1,n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(plus(minus(n1,n1),n1),n1),plus(plus(minus(n1,n1),n1),n1)) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_151,plain,
( plus(minus(n1,n1),n1) != n1
| plus(plus(minus(n1,n1),n1),n1) = plus(n1,n1) ),
inference(resolve,[$cnf( $equal(plus(plus(minus(n1,n1),n1),n1),plus(plus(minus(n1,n1),n1),n1)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
plus(plus(minus(n1,n1),n1),n1) = plus(n1,n1),
inference(resolve,[$cnf( $equal(plus(minus(n1,n1),n1),n1) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
( plus(plus(minus(n1,n1),n1),n1) != plus(n1,n1)
| ~ gt(plus(int_level(x_139),n1),plus(plus(minus(n1,n1),n1),n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
introduced(tautology,[equality,[$cnf( gt(plus(int_level(x_139),n1),plus(plus(minus(n1,n1),n1),n1)) ),[1],$fot(plus(n1,n1))]]) ).
cnf(refute_0_154,plain,
( ~ gt(plus(int_level(x_139),n1),plus(plus(minus(n1,n1),n1),n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(plus(minus(n1,n1),n1),n1),plus(n1,n1)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(plus(int_level(x_139),n1),plus(plus(minus(n1,n1),n1),n1)) )],[refute_0_122,refute_0_154]) ).
cnf(refute_0_156,plain,
( plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1) != plus(int_level(x_139),n1)
| y_27(plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1)) != plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)
| y_27(plus(int_level(x_139),n1)) = plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(y_27(plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1)),plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) ),[0,0],$fot(plus(int_level(x_139),n1))]]) ).
cnf(refute_0_157,plain,
( y_27(plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1)) != plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)
| y_27(plus(int_level(x_139),n1)) = plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1),plus(int_level(x_139),n1)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( y_27(plus(int_level(x_139),n1)) = plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(y_27(plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1)),plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) )],[refute_0_21,refute_0_157]) ).
cnf(refute_0_159,plain,
( y_27(plus(int_level(x_139),n1)) != int_level(x_139)
| y_27(plus(int_level(x_139),n1)) != plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)
| int_level(x_139) = plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) ),[0],$fot(int_level(x_139))]]) ).
cnf(refute_0_160,plain,
( y_27(plus(int_level(x_139),n1)) != plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)
| int_level(x_139) = plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1) ),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),int_level(x_139)) )],[refute_0_68,refute_0_159]) ).
cnf(refute_0_161,plain,
( int_level(x_139) = plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) )],[refute_0_158,refute_0_160]) ).
cnf(refute_0_162,plain,
( int_level(x_139) != plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)
| plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1) = int_level(x_139) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(int_level(x_139))),bind(Y,$fot(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)))]]) ).
cnf(refute_0_163,plain,
( plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1) = int_level(x_139)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(int_level(x_139),plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
( plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1) != int_level(x_139)
| y_27(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) != minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)
| y_27(int_level(x_139)) = minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(y_27(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),[0,0],$fot(int_level(x_139))]]) ).
cnf(refute_0_165,plain,
( y_27(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)) != minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)
| y_27(int_level(x_139)) = minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),int_level(x_139)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
( y_27(int_level(x_139)) = minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(y_27(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) )],[refute_0_20,refute_0_165]) ).
cnf(refute_0_167,plain,
y_27(plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),
inference(subst,[],[refute_0_19:[bind(X_78,$fot(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)))]]) ).
cnf(refute_0_168,plain,
( minus(plus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1) != plus(int_level(x_139),n1)
| plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1),plus(int_level(x_139),n1)) ),[0,0,0,0,0,0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_169,plain,
( plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1) != plus(int_level(x_139),n1)
| plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1)
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_64,refute_0_168]) ).
cnf(refute_0_170,plain,
( plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(plus(minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),n1),n1),plus(int_level(x_139),n1)) )],[refute_0_155,refute_0_169]) ).
cnf(refute_0_171,plain,
minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) = minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),
introduced(tautology,[refl,[$fot(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1))]]) ).
cnf(refute_0_172,plain,
( minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) != minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)
| minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) != minus(plus(int_level(x_139),n1),n1)
| minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) = minus(minus(plus(int_level(x_139),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)) ),[1,0],$fot(minus(plus(int_level(x_139),n1),n1))]]) ).
cnf(refute_0_173,plain,
( minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) != minus(plus(int_level(x_139),n1),n1)
| minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) = minus(minus(plus(int_level(x_139),n1),n1),n1) ),
inference(resolve,[$cnf( $equal(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) = minus(minus(plus(int_level(x_139),n1),n1),n1),
inference(resolve,[$cnf( $equal(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(plus(int_level(x_139),n1),n1)) )],[refute_0_76,refute_0_173]) ).
cnf(refute_0_175,plain,
plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1) = plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),
introduced(tautology,[refl,[$fot(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1))]]) ).
cnf(refute_0_176,plain,
( minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) != minus(minus(plus(int_level(x_139),n1),n1),n1)
| plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1) != plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1)
| plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1)) ),[1,0],$fot(minus(minus(plus(int_level(x_139),n1),n1),n1))]]) ).
cnf(refute_0_177,plain,
( minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) != minus(minus(plus(int_level(x_139),n1),n1),n1)
| plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),
inference(resolve,[$cnf( $equal(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) = plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1),
introduced(tautology,[refl,[$fot(plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1))]]) ).
cnf(refute_0_180,plain,
( plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1) != plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) != plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1)
| plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) = plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1),plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1)) ),[1,0],$fot(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))]]) ).
cnf(refute_0_181,plain,
( plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1) != plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) = plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1),plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) = plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),
inference(resolve,[$cnf( $equal(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
( plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) != plus(int_level(x_139),n1)
| plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) != plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)
| plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1),plus(int_level(x_139),n1)) ),[0],$fot(plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))]]) ).
cnf(refute_0_184,plain,
( plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1) != plus(int_level(x_139),n1)
| plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1),plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(plus(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),n1),n1),plus(int_level(x_139),n1)) )],[refute_0_170,refute_0_184]) ).
cnf(refute_0_186,plain,
( plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) = plus(int_level(x_139),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_185,refute_0_47]) ).
cnf(refute_0_187,plain,
( plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1) != plus(int_level(x_139),n1)
| y_27(plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) != plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| y_27(plus(int_level(x_139),n1)) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(y_27(plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[0,0],$fot(plus(int_level(x_139),n1))]]) ).
cnf(refute_0_188,plain,
( y_27(plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) != plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| y_27(plus(int_level(x_139),n1)) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1),plus(int_level(x_139),n1)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
( y_27(plus(int_level(x_139),n1)) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(y_27(plus(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_167,refute_0_188]) ).
cnf(refute_0_190,plain,
( y_27(plus(int_level(x_139),n1)) != int_level(x_139)
| y_27(plus(int_level(x_139),n1)) != plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| int_level(x_139) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[0],$fot(int_level(x_139))]]) ).
cnf(refute_0_191,plain,
( y_27(plus(int_level(x_139),n1)) != plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| int_level(x_139) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),int_level(x_139)) )],[refute_0_68,refute_0_190]) ).
cnf(refute_0_192,plain,
( int_level(x_139) = plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_189,refute_0_191]) ).
cnf(refute_0_193,plain,
( minus(plus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),[1,0,0,0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_194,plain,
( ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1))
| def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_64,refute_0_193]) ).
cnf(refute_0_195,plain,
( def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) )],[refute_0_57,refute_0_194]) ).
cnf(refute_0_196,plain,
( minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1) != minus(minus(plus(int_level(x_139),n1),n1),n1)
| ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1))
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)) ),[1],$fot(minus(minus(plus(int_level(x_139),n1),n1),n1))]]) ).
cnf(refute_0_197,plain,
( ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1))
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)) )],[refute_0_174,refute_0_196]) ).
cnf(refute_0_198,plain,
( def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),n1)) )],[refute_0_195,refute_0_197]) ).
cnf(refute_0_199,plain,
gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_198,refute_0_47]) ).
cnf(refute_0_200,plain,
( ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1))
| plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(subst,[],[axiom_14:[bind(X_23,$fot(minus(minus(plus(int_level(x_139),n1),n1),n1))),bind(Y_24,$fot(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)))]]) ).
cnf(refute_0_201,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( minus(plus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[0,0,0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_203,plain,
( ~ gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_64,refute_0_202]) ).
cnf(refute_0_204,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_201,refute_0_203]) ).
cnf(refute_0_205,plain,
( minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1) != minus(plus(int_level(x_139),n1),n1)
| ~ gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[0],$fot(minus(plus(int_level(x_139),n1),n1))]]) ).
cnf(refute_0_206,plain,
( ~ gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(plus(int_level(x_139),n1),n1)) )],[refute_0_76,refute_0_205]) ).
cnf(refute_0_207,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_204,refute_0_206]) ).
cnf(refute_0_208,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_207,refute_0_47]) ).
cnf(refute_0_209,plain,
( ~ gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(int_level(x_139),n1),n1)
| gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(subst,[],[axiom_10:[bind(X_13,$fot(minus(plus(int_level(x_139),n1),n1))),bind(Y_14,$fot(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)))]]) ).
cnf(refute_0_210,plain,
( ~ gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1))
| gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(minus(minus(plus(int_level(x_139),n1),n1),n1))),bind(Y_12,$fot(minus(plus(int_level(x_139),n1),n1)))]]) ).
cnf(refute_0_211,plain,
( ~ gt(minus(plus(int_level(x_139),n1),n1),n0)
| gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)) ),
inference(subst,[],[axiom_3:[bind(X_2,$fot(minus(plus(int_level(x_139),n1),n1)))]]) ).
cnf(refute_0_212,plain,
gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),n0) )],[refute_0_48,refute_0_211]) ).
cnf(refute_0_213,plain,
gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),minus(minus(plus(int_level(x_139),n1),n1),n1)) )],[refute_0_212,refute_0_210]) ).
cnf(refute_0_214,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(int_level(x_139),n1),n1)
| gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_213,refute_0_209]) ).
cnf(refute_0_215,plain,
( minus(plus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| ~ gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_216,plain,
( ~ gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| def_10(n1,plus(int_level(x_139),n1))
| gt(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_64,refute_0_215]) ).
cnf(refute_0_217,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(int_level(x_139),n1),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_214,refute_0_216]) ).
cnf(refute_0_218,plain,
( y_27(plus(int_level(x_139),n1)) != int_level(x_139)
| ~ gt(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[0],$fot(int_level(x_139))]]) ).
cnf(refute_0_219,plain,
( ~ gt(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),int_level(x_139)) )],[refute_0_68,refute_0_218]) ).
cnf(refute_0_220,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(int_level(x_139),n1),n1)
| def_10(n1,plus(int_level(x_139),n1))
| gt(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( gt(y_27(plus(int_level(x_139),n1)),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_217,refute_0_219]) ).
cnf(refute_0_221,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(int_level(x_139),n1),n1)
| gt(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_220,refute_0_47]) ).
cnf(refute_0_222,plain,
( int_level(x_139) != plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = int_level(x_139) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(int_level(x_139))),bind(Y,$fot(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)))]]) ).
cnf(refute_0_223,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = int_level(x_139)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_192,refute_0_222]) ).
cnf(refute_0_224,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) != int_level(x_139)
| ~ gt(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(int_level(x_139),int_level(x_139)) ),
introduced(tautology,[equality,[$cnf( gt(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[1],$fot(int_level(x_139))]]) ).
cnf(refute_0_225,plain,
( ~ gt(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(int_level(x_139),int_level(x_139))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),int_level(x_139)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(int_level(x_139),n1),n1)
| gt(int_level(x_139),int_level(x_139))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_221,refute_0_225]) ).
cnf(refute_0_227,plain,
~ gt(int_level(x_139),int_level(x_139)),
inference(subst,[],[axiom_17:[bind(X_28,$fot(int_level(x_139)))]]) ).
cnf(refute_0_228,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(int_level(x_139),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(int_level(x_139),int_level(x_139)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) != minus(plus(int_level(x_139),n1),n1)
| ~ gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(minus(plus(int_level(x_139),n1),n1),minus(plus(int_level(x_139),n1),n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[1],$fot(minus(plus(int_level(x_139),n1),n1))]]) ).
cnf(refute_0_230,plain,
( ~ gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| gt(minus(plus(int_level(x_139),n1),n1),minus(plus(int_level(x_139),n1),n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(plus(int_level(x_139),n1),n1)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(minus(plus(int_level(x_139),n1),n1),minus(plus(int_level(x_139),n1),n1))
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_208,refute_0_230]) ).
cnf(refute_0_232,plain,
~ gt(minus(plus(int_level(x_139),n1),n1),minus(plus(int_level(x_139),n1),n1)),
inference(subst,[],[axiom_17:[bind(X_28,$fot(minus(plus(int_level(x_139),n1),n1)))]]) ).
cnf(refute_0_233,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),minus(plus(int_level(x_139),n1),n1)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
( int_level(x_139) != plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) != minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| int_level(x_139) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(x_139),minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[0],$fot(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))]]) ).
cnf(refute_0_235,plain,
( int_level(x_139) != plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| int_level(x_139) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( int_level(x_139) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(int_level(x_139),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_192,refute_0_235]) ).
cnf(refute_0_237,plain,
( int_level(x_139) != minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) = int_level(x_139) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(int_level(x_139))),bind(Y,$fot(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)))]]) ).
cnf(refute_0_238,plain,
( minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) = int_level(x_139)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(int_level(x_139),minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
( minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) != int_level(x_139)
| y_27(int_level(x_139)) != minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)
| y_27(int_level(x_139)) = minus(int_level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(y_27(int_level(x_139)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) ),[1,0],$fot(int_level(x_139))]]) ).
cnf(refute_0_240,plain,
( y_27(int_level(x_139)) != minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)
| y_27(int_level(x_139)) = minus(int_level(x_139),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),int_level(x_139)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
( y_27(int_level(x_139)) = minus(int_level(x_139),n1)
| gt(plus(int_level(x_139),n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(y_27(int_level(x_139)),minus(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),n1)) )],[refute_0_166,refute_0_240]) ).
cnf(refute_0_242,plain,
( plus(minus(plus(int_level(x_139),n1),n1),n1) = plus(int_level(x_139),n1)
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(subst,[],[refute_0_32:[bind(X_3,$fot(plus(int_level(x_139),n1))),bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_243,plain,
y_27(plus(minus(int_level(x_139),n1),n1)) = minus(int_level(x_139),n1),
inference(subst,[],[refute_0_19:[bind(X_78,$fot(minus(int_level(x_139),n1)))]]) ).
cnf(refute_0_244,plain,
( ~ def_10(n1,minus(plus(int_level(x_139),n1),n1))
| ~ gt(minus(plus(int_level(x_139),n1),n1),n1) ),
inference(subst,[],[axiom_6:[bind(X_3,$fot(minus(plus(int_level(x_139),n1),n1))),bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_245,plain,
( ~ gt(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| n1 = minus(plus(int_level(x_139),n1),n1)
| gt(minus(plus(int_level(x_139),n1),n1),n1) ),
inference(subst,[],[axiom_10:[bind(X_13,$fot(minus(plus(int_level(x_139),n1),n1))),bind(Y_14,$fot(n1))]]) ).
cnf(refute_0_246,plain,
( n1 = minus(plus(int_level(x_139),n1),n1)
| gt(minus(plus(int_level(x_139),n1),n1),n1) ),
inference(resolve,[$cnf( gt(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) )],[refute_0_52,refute_0_245]) ).
cnf(refute_0_247,plain,
( ~ def_10(n1,minus(plus(int_level(x_139),n1),n1))
| n1 = minus(plus(int_level(x_139),n1),n1) ),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),n1) )],[refute_0_246,refute_0_244]) ).
cnf(refute_0_248,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(int_level(x_139),n1),n1)
| def_10(n1,minus(plus(int_level(x_139),n1),n1)) ),
inference(subst,[],[refute_0_32:[bind(X_3,$fot(minus(plus(int_level(x_139),n1),n1))),bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_249,plain,
( ~ gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1))
| def_10(n1,minus(plus(int_level(x_139),n1),n1))
| gt(minus(plus(int_level(x_139),n1),n1),minus(plus(int_level(x_139),n1),n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(plus(int_level(x_139),n1),n1)) )],[refute_0_248,refute_0_229]) ).
cnf(refute_0_250,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,minus(plus(int_level(x_139),n1),n1))
| gt(minus(plus(int_level(x_139),n1),n1),minus(plus(int_level(x_139),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_208,refute_0_249]) ).
cnf(refute_0_251,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,minus(plus(int_level(x_139),n1),n1)) ),
inference(resolve,[$cnf( gt(minus(plus(int_level(x_139),n1),n1),minus(plus(int_level(x_139),n1),n1)) )],[refute_0_250,refute_0_232]) ).
cnf(refute_0_252,plain,
( minus(plus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) != minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[0,0,0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_253,plain,
( plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1) != minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_64,refute_0_252]) ).
cnf(refute_0_254,plain,
( plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,minus(plus(int_level(x_139),n1),n1))
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(minus(plus(int_level(x_139),n1),n1),n1),n1),minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_251,refute_0_253]) ).
cnf(refute_0_255,plain,
minus(y_27(plus(int_level(x_139),n1)),n1) = minus(y_27(plus(int_level(x_139),n1)),n1),
introduced(tautology,[refl,[$fot(minus(y_27(plus(int_level(x_139),n1)),n1))]]) ).
cnf(refute_0_256,plain,
( minus(y_27(plus(int_level(x_139),n1)),n1) != minus(y_27(plus(int_level(x_139),n1)),n1)
| y_27(plus(int_level(x_139),n1)) != int_level(x_139)
| minus(y_27(plus(int_level(x_139),n1)),n1) = minus(int_level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(minus(y_27(plus(int_level(x_139),n1)),n1),minus(y_27(plus(int_level(x_139),n1)),n1)) ),[1,0],$fot(int_level(x_139))]]) ).
cnf(refute_0_257,plain,
( y_27(plus(int_level(x_139),n1)) != int_level(x_139)
| minus(y_27(plus(int_level(x_139),n1)),n1) = minus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(minus(y_27(plus(int_level(x_139),n1)),n1),minus(y_27(plus(int_level(x_139),n1)),n1)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
minus(y_27(plus(int_level(x_139),n1)),n1) = minus(int_level(x_139),n1),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),int_level(x_139)) )],[refute_0_68,refute_0_257]) ).
cnf(refute_0_259,plain,
plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) = plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1),
introduced(tautology,[refl,[$fot(plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1))]]) ).
cnf(refute_0_260,plain,
( minus(y_27(plus(int_level(x_139),n1)),n1) != minus(int_level(x_139),n1)
| plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) != plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1)
| plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) = plus(minus(int_level(x_139),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1)) ),[1,0],$fot(minus(int_level(x_139),n1))]]) ).
cnf(refute_0_261,plain,
( minus(y_27(plus(int_level(x_139),n1)),n1) != minus(int_level(x_139),n1)
| plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) = plus(minus(int_level(x_139),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) = plus(minus(int_level(x_139),n1),n1),
inference(resolve,[$cnf( $equal(minus(y_27(plus(int_level(x_139),n1)),n1),minus(int_level(x_139),n1)) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
( plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) != minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) != plus(minus(int_level(x_139),n1),n1)
| plus(minus(int_level(x_139),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[0],$fot(plus(minus(int_level(x_139),n1),n1))]]) ).
cnf(refute_0_264,plain,
( plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1) != minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(minus(int_level(x_139),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1),plus(minus(int_level(x_139),n1),n1)) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
( plus(minus(int_level(x_139),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,minus(plus(int_level(x_139),n1),n1))
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(y_27(plus(int_level(x_139),n1)),n1),n1),minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_254,refute_0_264]) ).
cnf(refute_0_266,plain,
( plus(minus(int_level(x_139),n1),n1) = minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| def_10(n1,minus(plus(int_level(x_139),n1),n1)) ),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_265,refute_0_47]) ).
cnf(refute_0_267,plain,
( ~ gt(plus(X_1,n1),n0)
| gt(plus(X_1,n1),minus(plus(X_1,n1),n1)) ),
inference(subst,[],[axiom_3:[bind(X_2,$fot(plus(X_1,n1)))]]) ).
cnf(refute_0_268,plain,
gt(plus(X_1,n1),minus(plus(X_1,n1),n1)),
inference(resolve,[$cnf( gt(plus(X_1,n1),n0) )],[axiom_2,refute_0_267]) ).
cnf(refute_0_269,plain,
gt(plus(X_157,n1),minus(plus(X_157,n1),n1)),
inference(subst,[],[refute_0_268:[bind(X_1,$fot(X_157))]]) ).
cnf(refute_0_270,plain,
( ~ gt(plus(X_157,n1),minus(plus(X_157,n1),n1))
| minus(plus(X_157,n1),n1) = X_157
| gt(X_157,minus(plus(X_157,n1),n1)) ),
inference(subst,[],[axiom_10:[bind(X_13,$fot(X_157)),bind(Y_14,$fot(minus(plus(X_157,n1),n1)))]]) ).
cnf(refute_0_271,plain,
( minus(plus(X_157,n1),n1) = X_157
| gt(X_157,minus(plus(X_157,n1),n1)) ),
inference(resolve,[$cnf( gt(plus(X_157,n1),minus(plus(X_157,n1),n1)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
( minus(plus(minus(X_3,n1),n1),n1) = minus(X_3,n1)
| gt(minus(X_3,n1),minus(plus(minus(X_3,n1),n1),n1)) ),
inference(subst,[],[refute_0_271:[bind(X_157,$fot(minus(X_3,n1)))]]) ).
cnf(refute_0_273,plain,
( plus(minus(X_3,n1),n1) != X_3
| ~ gt(minus(X_3,n1),minus(plus(minus(X_3,n1),n1),n1))
| gt(minus(X_3,n1),minus(X_3,n1)) ),
introduced(tautology,[equality,[$cnf( gt(minus(X_3,n1),minus(plus(minus(X_3,n1),n1),n1)) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_274,plain,
( ~ gt(minus(X_3,n1),minus(plus(minus(X_3,n1),n1),n1))
| def_10(n1,X_3)
| gt(minus(X_3,n1),minus(X_3,n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(X_3,n1),n1),X_3) )],[refute_0_33,refute_0_273]) ).
cnf(refute_0_275,plain,
( minus(plus(minus(X_3,n1),n1),n1) = minus(X_3,n1)
| def_10(n1,X_3)
| gt(minus(X_3,n1),minus(X_3,n1)) ),
inference(resolve,[$cnf( gt(minus(X_3,n1),minus(plus(minus(X_3,n1),n1),n1)) )],[refute_0_272,refute_0_274]) ).
cnf(refute_0_276,plain,
~ gt(minus(X_3,n1),minus(X_3,n1)),
inference(subst,[],[axiom_17:[bind(X_28,$fot(minus(X_3,n1)))]]) ).
cnf(refute_0_277,plain,
( minus(plus(minus(X_3,n1),n1),n1) = minus(X_3,n1)
| def_10(n1,X_3) ),
inference(resolve,[$cnf( gt(minus(X_3,n1),minus(X_3,n1)) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( minus(plus(minus(X_274,n1),n1),n1) = minus(X_274,n1)
| def_10(n1,X_274) ),
inference(subst,[],[refute_0_277:[bind(X_3,$fot(X_274))]]) ).
cnf(refute_0_279,plain,
( y_27(X_274) = minus(X_274,n1)
| def_10(n1,X_274) ),
inference(subst,[],[refute_0_61:[bind(X_3,$fot(X_274))]]) ).
cnf(refute_0_280,plain,
( y_27(X_274) != minus(X_274,n1)
| minus(X_274,n1) = y_27(X_274) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(y_27(X_274))),bind(Y,$fot(minus(X_274,n1)))]]) ).
cnf(refute_0_281,plain,
( minus(X_274,n1) = y_27(X_274)
| def_10(n1,X_274) ),
inference(resolve,[$cnf( $equal(y_27(X_274),minus(X_274,n1)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
( minus(X_274,n1) != y_27(X_274)
| minus(plus(minus(X_274,n1),n1),n1) != minus(X_274,n1)
| minus(plus(minus(X_274,n1),n1),n1) = y_27(X_274) ),
introduced(tautology,[equality,[$cnf( $equal(minus(plus(minus(X_274,n1),n1),n1),minus(X_274,n1)) ),[1],$fot(y_27(X_274))]]) ).
cnf(refute_0_283,plain,
( minus(plus(minus(X_274,n1),n1),n1) != minus(X_274,n1)
| minus(plus(minus(X_274,n1),n1),n1) = y_27(X_274)
| def_10(n1,X_274) ),
inference(resolve,[$cnf( $equal(minus(X_274,n1),y_27(X_274)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( minus(plus(minus(X_274,n1),n1),n1) = y_27(X_274)
| def_10(n1,X_274) ),
inference(resolve,[$cnf( $equal(minus(plus(minus(X_274,n1),n1),n1),minus(X_274,n1)) )],[refute_0_278,refute_0_283]) ).
cnf(refute_0_285,plain,
( minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) = y_27(plus(int_level(x_139),n1))
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(subst,[],[refute_0_284:[bind(X_274,$fot(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_286,plain,
( minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1) != y_27(plus(int_level(x_139),n1))
| plus(minus(int_level(x_139),n1),n1) != minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(minus(int_level(x_139),n1),n1) = y_27(plus(int_level(x_139),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(int_level(x_139),n1),n1),minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) ),[1],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_287,plain,
( plus(minus(int_level(x_139),n1),n1) != minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)
| plus(minus(int_level(x_139),n1),n1) = y_27(plus(int_level(x_139),n1))
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(resolve,[$cnf( $equal(minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
( plus(minus(int_level(x_139),n1),n1) = y_27(plus(int_level(x_139),n1))
| def_10(n1,minus(plus(int_level(x_139),n1),n1))
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(int_level(x_139),n1),n1),minus(plus(minus(plus(int_level(x_139),n1),n1),n1),n1)) )],[refute_0_266,refute_0_287]) ).
cnf(refute_0_289,plain,
( plus(minus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| y_27(plus(int_level(x_139),n1)) != int_level(x_139)
| plus(minus(int_level(x_139),n1),n1) = int_level(x_139) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus(minus(int_level(x_139),n1),n1),int_level(x_139)) ),[0],$fot(y_27(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_290,plain,
( plus(minus(int_level(x_139),n1),n1) != y_27(plus(int_level(x_139),n1))
| plus(minus(int_level(x_139),n1),n1) = int_level(x_139) ),
inference(resolve,[$cnf( $equal(y_27(plus(int_level(x_139),n1)),int_level(x_139)) )],[refute_0_68,refute_0_289]) ).
cnf(refute_0_291,plain,
( plus(minus(int_level(x_139),n1),n1) = int_level(x_139)
| def_10(n1,minus(plus(int_level(x_139),n1),n1))
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(int_level(x_139),n1),n1),y_27(plus(int_level(x_139),n1))) )],[refute_0_288,refute_0_290]) ).
cnf(refute_0_292,plain,
( plus(minus(int_level(x_139),n1),n1) = int_level(x_139)
| def_10(n1,minus(plus(int_level(x_139),n1),n1)) ),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_291,refute_0_47]) ).
cnf(refute_0_293,plain,
( n1 = minus(plus(int_level(x_139),n1),n1)
| plus(minus(int_level(x_139),n1),n1) = int_level(x_139) ),
inference(resolve,[$cnf( def_10(n1,minus(plus(int_level(x_139),n1),n1)) )],[refute_0_292,refute_0_247]) ).
cnf(refute_0_294,plain,
( plus(minus(int_level(x_139),n1),n1) != int_level(x_139)
| y_27(plus(minus(int_level(x_139),n1),n1)) != minus(int_level(x_139),n1)
| y_27(int_level(x_139)) = minus(int_level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(y_27(plus(minus(int_level(x_139),n1),n1)),minus(int_level(x_139),n1)) ),[0,0],$fot(int_level(x_139))]]) ).
cnf(refute_0_295,plain,
( y_27(plus(minus(int_level(x_139),n1),n1)) != minus(int_level(x_139),n1)
| n1 = minus(plus(int_level(x_139),n1),n1)
| y_27(int_level(x_139)) = minus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(plus(minus(int_level(x_139),n1),n1),int_level(x_139)) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
( n1 = minus(plus(int_level(x_139),n1),n1)
| y_27(int_level(x_139)) = minus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(y_27(plus(minus(int_level(x_139),n1),n1)),minus(int_level(x_139),n1)) )],[refute_0_243,refute_0_295]) ).
cnf(refute_0_297,plain,
( n1 != minus(plus(int_level(x_139),n1),n1)
| minus(plus(int_level(x_139),n1),n1) = n1 ),
inference(subst,[],[refute_0_9:[bind(X,$fot(n1)),bind(Y,$fot(minus(plus(int_level(x_139),n1),n1)))]]) ).
cnf(refute_0_298,plain,
( minus(plus(int_level(x_139),n1),n1) = n1
| y_27(int_level(x_139)) = minus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(n1,minus(plus(int_level(x_139),n1),n1)) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
( minus(plus(int_level(x_139),n1),n1) != n1
| plus(minus(plus(int_level(x_139),n1),n1),n1) != plus(int_level(x_139),n1)
| plus(n1,n1) = plus(int_level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(int_level(x_139),n1)) ),[0,0],$fot(n1)]]) ).
cnf(refute_0_300,plain,
( plus(minus(plus(int_level(x_139),n1),n1),n1) != plus(int_level(x_139),n1)
| plus(n1,n1) = plus(int_level(x_139),n1)
| y_27(int_level(x_139)) = minus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(minus(plus(int_level(x_139),n1),n1),n1) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( plus(n1,n1) = plus(int_level(x_139),n1)
| y_27(int_level(x_139)) = minus(int_level(x_139),n1)
| def_10(n1,plus(int_level(x_139),n1)) ),
inference(resolve,[$cnf( $equal(plus(minus(plus(int_level(x_139),n1),n1),n1),plus(int_level(x_139),n1)) )],[refute_0_242,refute_0_300]) ).
cnf(refute_0_302,plain,
( plus(n1,n1) = plus(int_level(x_139),n1)
| y_27(int_level(x_139)) = minus(int_level(x_139),n1) ),
inference(resolve,[$cnf( def_10(n1,plus(int_level(x_139),n1)) )],[refute_0_301,refute_0_47]) ).
cnf(refute_0_303,plain,
( plus(n1,n1) != plus(int_level(x_139),n1)
| plus(int_level(x_139),n1) = plus(n1,n1) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(plus(n1,n1))),bind(Y,$fot(plus(int_level(x_139),n1)))]]) ).
cnf(refute_0_304,plain,
( plus(int_level(x_139),n1) = plus(n1,n1)
| y_27(int_level(x_139)) = minus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(plus(n1,n1),plus(int_level(x_139),n1)) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
( plus(int_level(x_139),n1) != plus(n1,n1)
| ~ gt(plus(int_level(x_139),n1),plus(n1,n1))
| gt(plus(n1,n1),plus(n1,n1)) ),
introduced(tautology,[equality,[$cnf( gt(plus(int_level(x_139),n1),plus(n1,n1)) ),[0],$fot(plus(n1,n1))]]) ).
cnf(refute_0_306,plain,
( ~ gt(plus(int_level(x_139),n1),plus(n1,n1))
| y_27(int_level(x_139)) = minus(int_level(x_139),n1)
| gt(plus(n1,n1),plus(n1,n1)) ),
inference(resolve,[$cnf( $equal(plus(int_level(x_139),n1),plus(n1,n1)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( y_27(int_level(x_139)) = minus(int_level(x_139),n1)
| gt(plus(n1,n1),plus(n1,n1)) ),
inference(resolve,[$cnf( gt(plus(int_level(x_139),n1),plus(n1,n1)) )],[refute_0_241,refute_0_306]) ).
cnf(refute_0_308,plain,
~ gt(plus(n1,n1),plus(n1,n1)),
inference(subst,[],[axiom_17:[bind(X_28,$fot(plus(n1,n1)))]]) ).
cnf(refute_0_309,plain,
y_27(int_level(x_139)) = minus(int_level(x_139),n1),
inference(resolve,[$cnf( gt(plus(n1,n1),plus(n1,n1)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
( y_27(int_level(x_139)) != minus(int_level(x_139),n1)
| minus(int_level(x_139),n1) = y_27(int_level(x_139)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(y_27(int_level(x_139)))),bind(Y,$fot(minus(int_level(x_139),n1)))]]) ).
cnf(refute_0_311,plain,
minus(int_level(x_139),n1) = y_27(int_level(x_139)),
inference(resolve,[$cnf( $equal(y_27(int_level(x_139)),minus(int_level(x_139),n1)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
( int_level(plus(x_139,n1)) != minus(int_level(x_139),n1)
| minus(int_level(x_139),n1) != y_27(int_level(x_139))
| int_level(plus(x_139,n1)) = y_27(int_level(x_139)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(plus(x_139,n1)),y_27(int_level(x_139))) ),[0],$fot(minus(int_level(x_139),n1))]]) ).
cnf(refute_0_313,plain,
( int_level(plus(x_139,n1)) != minus(int_level(x_139),n1)
| int_level(plus(x_139,n1)) = y_27(int_level(x_139)) ),
inference(resolve,[$cnf( $equal(minus(int_level(x_139),n1),y_27(int_level(x_139))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
( ~ p_Rd(x_139)
| int_level(plus(x_139,n1)) = y_27(int_level(x_139))
| p_Reset(x_139)
| p_Wr(x_139) ),
inference(resolve,[$cnf( $equal(int_level(plus(x_139,n1)),minus(int_level(x_139),n1)) )],[refute_0_5,refute_0_313]) ).
cnf(refute_0_315,plain,
( int_level(plus(x_139,n1)) = y_27(int_level(x_139))
| p_Reset(x_139)
| p_Wr(x_139) ),
inference(resolve,[$cnf( p_Rd(x_139) )],[quest_2,refute_0_314]) ).
cnf(refute_0_316,plain,
level(plus(x_139,n1)) = int_level(plus(x_139,n1)),
inference(subst,[],[axiom_21:[bind(X_t_32,$fot(plus(x_139,n1)))]]) ).
cnf(refute_0_317,plain,
( int_level(plus(x_139,n1)) != minus(level(x_139),n1)
| level(plus(x_139,n1)) != int_level(plus(x_139,n1))
| level(plus(x_139,n1)) = minus(level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(level(plus(x_139,n1)),int_level(plus(x_139,n1))) ),[1],$fot(minus(level(x_139),n1))]]) ).
cnf(refute_0_318,plain,
( int_level(plus(x_139,n1)) != minus(level(x_139),n1)
| level(plus(x_139,n1)) = minus(level(x_139),n1) ),
inference(resolve,[$cnf( $equal(level(plus(x_139,n1)),int_level(plus(x_139,n1))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
minus(level(x_139),n1) = minus(level(x_139),n1),
introduced(tautology,[refl,[$fot(minus(level(x_139),n1))]]) ).
cnf(refute_0_320,plain,
( level(x_139) != int_level(x_139)
| minus(level(x_139),n1) != minus(level(x_139),n1)
| minus(level(x_139),n1) = minus(int_level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(minus(level(x_139),n1),minus(level(x_139),n1)) ),[1,0],$fot(int_level(x_139))]]) ).
cnf(refute_0_321,plain,
( level(x_139) != int_level(x_139)
| minus(level(x_139),n1) = minus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(minus(level(x_139),n1),minus(level(x_139),n1)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
minus(level(x_139),n1) = minus(int_level(x_139),n1),
inference(resolve,[$cnf( $equal(level(x_139),int_level(x_139)) )],[refute_0_0,refute_0_321]) ).
cnf(refute_0_323,plain,
( int_level(plus(x_139,n1)) != minus(int_level(x_139),n1)
| minus(level(x_139),n1) != minus(int_level(x_139),n1)
| int_level(plus(x_139,n1)) = minus(level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(plus(x_139,n1)),minus(level(x_139),n1)) ),[1],$fot(minus(int_level(x_139),n1))]]) ).
cnf(refute_0_324,plain,
( int_level(plus(x_139,n1)) != minus(int_level(x_139),n1)
| int_level(plus(x_139,n1)) = minus(level(x_139),n1) ),
inference(resolve,[$cnf( $equal(minus(level(x_139),n1),minus(int_level(x_139),n1)) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
( int_level(plus(x_139,n1)) != minus(int_level(x_139),n1)
| level(plus(x_139,n1)) = minus(level(x_139),n1) ),
inference(resolve,[$cnf( $equal(int_level(plus(x_139,n1)),minus(level(x_139),n1)) )],[refute_0_324,refute_0_318]) ).
cnf(refute_0_326,plain,
int_level(plus(x_139,n1)) != minus(int_level(x_139),n1),
inference(resolve,[$cnf( $equal(level(plus(x_139,n1)),minus(level(x_139),n1)) )],[refute_0_325,quest_5]) ).
cnf(refute_0_327,plain,
( int_level(plus(x_139,n1)) != y_27(int_level(x_139))
| minus(int_level(x_139),n1) != y_27(int_level(x_139))
| int_level(plus(x_139,n1)) = minus(int_level(x_139),n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(plus(x_139,n1)),minus(int_level(x_139),n1)) ),[1],$fot(y_27(int_level(x_139)))]]) ).
cnf(refute_0_328,plain,
( int_level(plus(x_139,n1)) != y_27(int_level(x_139))
| int_level(plus(x_139,n1)) = minus(int_level(x_139),n1) ),
inference(resolve,[$cnf( $equal(minus(int_level(x_139),n1),y_27(int_level(x_139))) )],[refute_0_311,refute_0_327]) ).
cnf(refute_0_329,plain,
int_level(plus(x_139,n1)) != y_27(int_level(x_139)),
inference(resolve,[$cnf( $equal(int_level(plus(x_139,n1)),minus(int_level(x_139),n1)) )],[refute_0_328,refute_0_326]) ).
cnf(refute_0_330,plain,
( p_Reset(x_139)
| p_Wr(x_139) ),
inference(resolve,[$cnf( $equal(int_level(plus(x_139,n1)),y_27(int_level(x_139))) )],[refute_0_315,refute_0_329]) ).
cnf(refute_0_331,plain,
p_Wr(x_139),
inference(resolve,[$cnf( p_Reset(x_139) )],[refute_0_330,quest_4]) ).
cnf(refute_0_332,plain,
$false,
inference(resolve,[$cnf( p_Wr(x_139) )],[refute_0_331,quest_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HWV014-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.31 % Computer : n022.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Fri Jun 17 04:45:47 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.11/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 193.86/194.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 193.86/194.06
% 193.86/194.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 193.90/194.09
%------------------------------------------------------------------------------