TSTP Solution File: LAT401-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT401-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 : 300s
% DateTime : Thu Aug 31 06:02:32 EDT 2023
% Result : Unsatisfiable 85.21s 85.25s
% Output : CNFRefutation 85.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 23
% Syntax : Number of formulae : 271 ( 262 unt; 9 typ; 0 def)
% Number of atoms : 262 ( 261 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 13 ( 5 >; 8 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 294 ( 40 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
meet: ( $i * $i ) > $i ).
tff(decl_23,type,
join: ( $i * $i ) > $i ).
tff(decl_24,type,
upme: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
upjo: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
lojo: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
x2: $i ).
tff(decl_29,type,
y2: $i ).
tff(decl_30,type,
z2: $i ).
cnf(absorption,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
cnf(commutativity,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
cnf(absorption_003,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption_003) ).
cnf(commutativity_001,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_001) ).
cnf(associativity,axiom,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
cnf(conjecture_1,negated_conjecture,
upme(a,x2,y2) = upme(a,y2,z2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
cnf(definition_of_upme,axiom,
upme(X1,X2,X3) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_upme) ).
cnf(upme_property_1,axiom,
join(upme(meet(a,X1),X2,X3),meet(X2,X3)) = meet(join(meet(meet(a,X1),X2),X3),join(meet(meet(a,X1),X3),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upme_property_1) ).
cnf(associativity_002,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_002) ).
cnf(conjecture,negated_conjecture,
upme(a,x2,y2) = upme(a,x2,z2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).
cnf(upme_property_2,axiom,
upme(X1,X2,X3) = join(upme(X1,X2,meet(a,X3)),upme(X1,X3,meet(a,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upme_property_2) ).
cnf(conjecture_2,negated_conjecture,
upjo(x2,y2,z2) != lojo(x2,y2,z2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_2) ).
cnf(definition_of_lojo,axiom,
lojo(X1,X2,X3) = join(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_lojo) ).
cnf(definition_of_upjo,axiom,
upjo(X1,X2,X3) = meet(join(X1,X2),join(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_upjo) ).
cnf(c_0_14,axiom,
join(X1,meet(X1,X2)) = X1,
absorption ).
cnf(c_0_15,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity ).
cnf(c_0_16,axiom,
meet(X1,join(X1,X2)) = X1,
absorption_003 ).
cnf(c_0_17,axiom,
join(X1,X2) = join(X2,X1),
commutativity_001 ).
cnf(c_0_18,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,axiom,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
associativity ).
cnf(c_0_20,negated_conjecture,
upme(a,x2,y2) = upme(a,y2,z2),
conjecture_1 ).
cnf(c_0_21,axiom,
upme(X1,X2,X3) = meet(X1,join(X2,X3)),
definition_of_upme ).
cnf(c_0_22,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,axiom,
join(upme(meet(a,X1),X2,X3),meet(X2,X3)) = meet(join(meet(meet(a,X1),X2),X3),join(meet(meet(a,X1),X3),X2)),
upme_property_1 ).
cnf(c_0_24,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
meet(a,join(y2,z2)) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).
cnf(c_0_26,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
associativity_002 ).
cnf(c_0_27,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_28,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_14]),c_0_19]) ).
cnf(c_0_29,negated_conjecture,
upme(a,x2,y2) = upme(a,x2,z2),
conjecture ).
cnf(c_0_30,plain,
join(meet(meet(a,X1),join(X2,X3)),meet(X2,X3)) = meet(join(meet(meet(a,X1),X2),X3),join(meet(meet(a,X1),X3),X2)),
inference(rw,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_31,negated_conjecture,
join(y2,join(z2,meet(X1,meet(a,join(x2,y2))))) = join(y2,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_32,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_27]) ).
cnf(c_0_33,negated_conjecture,
meet(a,join(x2,z2)) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_21]),c_0_21]) ).
cnf(c_0_34,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_26]) ).
cnf(c_0_35,plain,
meet(join(meet(a,meet(X1,X2)),X3),join(meet(a,meet(X1,X3)),X2)) = join(meet(X2,X3),meet(a,meet(X1,join(X2,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_19]),c_0_19]),c_0_19]),c_0_17]) ).
cnf(c_0_36,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_26,c_0_18]) ).
cnf(c_0_37,plain,
meet(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_38,negated_conjecture,
join(y2,join(z2,meet(a,x2))) = join(y2,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_15]) ).
cnf(c_0_39,negated_conjecture,
join(x2,join(z2,meet(X1,meet(a,join(x2,y2))))) = join(x2,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_33]),c_0_26]) ).
cnf(c_0_40,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_14]),c_0_19]) ).
cnf(c_0_41,axiom,
upme(X1,X2,X3) = join(upme(X1,X2,meet(a,X3)),upme(X1,X3,meet(a,X2))),
upme_property_2 ).
cnf(c_0_42,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_43,plain,
join(meet(a,meet(X1,X2)),join(X3,meet(a,meet(X1,join(X2,X3))))) = join(meet(a,meet(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_35]),c_0_26]),c_0_36]) ).
cnf(c_0_44,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_37]) ).
cnf(c_0_45,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_26]) ).
cnf(c_0_46,negated_conjecture,
meet(a,meet(join(y2,z2),X1)) = meet(a,meet(join(x2,y2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_25]),c_0_19]) ).
cnf(c_0_47,negated_conjecture,
meet(join(y2,z2),join(z2,meet(a,x2))) = join(z2,meet(a,x2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_38]),c_0_15]) ).
cnf(c_0_48,negated_conjecture,
join(x2,join(z2,meet(a,y2))) = join(x2,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_15]) ).
cnf(c_0_49,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(a,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_50,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_28]),c_0_19]),c_0_19]) ).
cnf(c_0_51,negated_conjecture,
meet(a,meet(z2,join(x2,y2))) = meet(a,z2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_25]),c_0_42]),c_0_15]),c_0_15]) ).
cnf(c_0_52,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_53,plain,
join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_54,negated_conjecture,
join(z2,join(meet(a,x2),meet(a,join(x2,y2)))) = join(z2,meet(a,x2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_33]),c_0_44]),c_0_44]),c_0_44]),c_0_17]),c_0_45]) ).
cnf(c_0_55,negated_conjecture,
meet(a,meet(join(x2,y2),join(z2,meet(a,x2)))) = meet(a,join(z2,meet(a,x2))),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
meet(a,meet(join(x2,z2),X1)) = meet(a,meet(join(x2,y2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_33]),c_0_19]) ).
cnf(c_0_57,negated_conjecture,
meet(join(x2,z2),join(z2,meet(a,y2))) = join(z2,meet(a,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_48]),c_0_15]) ).
cnf(c_0_58,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_17]) ).
cnf(c_0_59,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_24,c_0_15]) ).
cnf(c_0_60,plain,
join(meet(a,meet(X1,X2)),join(meet(a,meet(X3,join(meet(a,X1),X2))),meet(join(X1,meet(a,meet(X3,X2))),join(meet(a,meet(X3,X1)),X2)))) = join(meet(X1,X2),meet(a,meet(X3,join(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_19]),c_0_26]),c_0_50]),c_0_44]),c_0_15]),c_0_50]),c_0_35]) ).
cnf(c_0_61,negated_conjecture,
join(y2,join(meet(a,z2),meet(a,meet(x2,z2)))) = join(y2,meet(a,meet(x2,z2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_15]),c_0_52]),c_0_17]),c_0_45]),c_0_15]),c_0_17]) ).
cnf(c_0_62,plain,
join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_53,c_0_15]) ).
cnf(c_0_63,negated_conjecture,
meet(a,meet(x2,join(y2,z2))) = meet(a,x2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_19]) ).
cnf(c_0_64,negated_conjecture,
meet(a,join(z2,meet(a,x2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_54]),c_0_19]),c_0_55]) ).
cnf(c_0_65,negated_conjecture,
join(z2,join(meet(a,y2),meet(a,join(x2,y2)))) = join(z2,meet(a,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_25]),c_0_44]),c_0_44]),c_0_44]),c_0_17]),c_0_45]) ).
cnf(c_0_66,negated_conjecture,
meet(a,meet(join(x2,y2),join(z2,meet(a,y2)))) = meet(a,join(z2,meet(a,y2))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,plain,
meet(join(meet(a,X1),X2),join(X1,join(meet(a,meet(X1,X2)),X3))) = join(meet(a,X1),meet(X2,join(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_16]),c_0_58]),c_0_17]),c_0_45]),c_0_15]) ).
cnf(c_0_68,plain,
join(X1,join(meet(X2,meet(X1,X3)),X4)) = join(X1,X4),
inference(spm,[status(thm)],[c_0_26,c_0_59]) ).
cnf(c_0_69,plain,
meet(join(X1,meet(a,meet(X2,X3))),join(meet(a,meet(X2,X1)),X3)) = join(meet(X1,X3),meet(a,meet(X2,join(X1,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_19]),c_0_50]),c_0_44]),c_0_15]),c_0_52]),c_0_17]),c_0_45]),c_0_60]),c_0_50]),c_0_15]) ).
cnf(c_0_70,negated_conjecture,
join(y2,meet(a,meet(x2,z2))) = join(y2,meet(a,z2)),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,negated_conjecture,
join(z2,meet(a,meet(x2,y2))) = join(z2,meet(a,x2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_63]),c_0_52]),c_0_17]),c_0_45]),c_0_53]),c_0_17]) ).
cnf(c_0_72,negated_conjecture,
meet(a,meet(X1,join(y2,z2))) = meet(a,meet(X1,join(x2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_25]),c_0_50]) ).
cnf(c_0_73,negated_conjecture,
join(meet(a,x2),join(meet(a,z2),meet(a,join(x2,y2)))) = join(meet(a,x2),meet(a,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_64]),c_0_44]),c_0_44]),c_0_44]),c_0_45]),c_0_17]) ).
cnf(c_0_74,negated_conjecture,
join(meet(a,z2),meet(a,join(x2,y2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_51]),c_0_17]) ).
cnf(c_0_75,negated_conjecture,
meet(a,join(z2,meet(a,y2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_65]),c_0_19]),c_0_66]) ).
cnf(c_0_76,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_26]) ).
cnf(c_0_77,plain,
join(meet(a,X1),meet(X2,join(X1,X3))) = meet(join(meet(a,X1),X2),join(X1,X3)),
inference(rw,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,negated_conjecture,
meet(join(y2,meet(a,z2)),join(z2,meet(a,x2))) = join(meet(a,x2),meet(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_17]),c_0_71]),c_0_72]),c_0_16]),c_0_17]) ).
cnf(c_0_79,negated_conjecture,
join(meet(a,x2),meet(a,join(x2,y2))) = join(meet(a,x2),meet(a,z2)),
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,negated_conjecture,
join(meet(a,y2),join(meet(a,z2),meet(a,join(x2,y2)))) = join(meet(a,y2),meet(a,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_75]),c_0_44]),c_0_44]),c_0_44]),c_0_45]),c_0_17]) ).
cnf(c_0_81,negated_conjecture,
join(x2,join(y2,meet(a,z2))) = join(x2,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_51]),c_0_26]) ).
cnf(c_0_82,plain,
join(X1,join(X2,join(X3,X1))) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_76,c_0_26]) ).
cnf(c_0_83,negated_conjecture,
join(meet(a,x2),join(meet(a,z2),meet(y2,z2))) = join(meet(a,x2),meet(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_76]),c_0_17]),c_0_78]),c_0_45]) ).
cnf(c_0_84,negated_conjecture,
join(meet(a,x2),meet(a,z2)) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_77]),c_0_17]),c_0_14]) ).
cnf(c_0_85,negated_conjecture,
join(y2,join(meet(a,z2),meet(a,join(x2,y2)))) = join(y2,meet(a,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_80]),c_0_36]) ).
cnf(c_0_86,negated_conjecture,
meet(a,meet(y2,join(x2,z2))) = meet(a,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_48]),c_0_19]) ).
cnf(c_0_87,negated_conjecture,
meet(join(x2,y2),join(y2,meet(a,z2))) = join(y2,meet(a,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_81]),c_0_15]) ).
cnf(c_0_88,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_26,c_0_14]) ).
cnf(c_0_89,negated_conjecture,
join(meet(y2,z2),meet(a,join(x2,y2))) = join(meet(a,x2),meet(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_76]),c_0_17]),c_0_84]) ).
cnf(c_0_90,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_27]),c_0_26]) ).
cnf(c_0_91,negated_conjecture,
join(y2,meet(a,join(x2,y2))) = join(y2,meet(a,z2)),
inference(rw,[status(thm)],[c_0_85,c_0_74]) ).
cnf(c_0_92,negated_conjecture,
join(z2,join(meet(a,y2),meet(a,meet(x2,y2)))) = join(z2,meet(a,meet(x2,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_86]),c_0_15]),c_0_52]),c_0_17]),c_0_45]),c_0_15]),c_0_17]) ).
cnf(c_0_93,negated_conjecture,
meet(a,join(y2,meet(a,z2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_85]),c_0_19]),c_0_87]) ).
cnf(c_0_94,negated_conjecture,
join(y2,meet(a,z2)) = join(y2,meet(a,x2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]) ).
cnf(c_0_95,negated_conjecture,
meet(a,meet(y2,join(z2,meet(a,meet(x2,y2))))) = meet(a,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_92]),c_0_19]) ).
cnf(c_0_96,negated_conjecture,
meet(a,join(y2,meet(a,x2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,negated_conjecture,
join(meet(a,y2),meet(a,join(x2,y2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_95]),c_0_71]),c_0_64]),c_0_71]),c_0_64]),c_0_17]) ).
cnf(c_0_98,negated_conjecture,
join(x2,join(meet(a,z2),meet(a,join(x2,y2)))) = join(x2,meet(a,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_73]),c_0_36]) ).
cnf(c_0_99,negated_conjecture,
join(meet(a,x2),meet(a,y2)) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_96]),c_0_44]),c_0_44]),c_0_77]),c_0_17]),c_0_14]),c_0_97]),c_0_44]),c_0_17]) ).
cnf(c_0_100,negated_conjecture,
join(x2,meet(a,join(x2,y2))) = join(x2,meet(a,z2)),
inference(rw,[status(thm)],[c_0_98,c_0_74]) ).
cnf(c_0_101,plain,
join(meet(a,meet(X1,X2)),join(X3,meet(a,meet(X1,join(X3,X2))))) = join(meet(a,meet(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_35]),c_0_26]),c_0_88]) ).
cnf(c_0_102,negated_conjecture,
join(x2,meet(a,z2)) = join(x2,meet(a,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_99]),c_0_100]) ).
cnf(c_0_103,negated_conjecture,
join(x2,meet(a,meet(y2,z2))) = join(x2,meet(a,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_51]),c_0_15]),c_0_102]),c_0_15]),c_0_52]),c_0_17]),c_0_45]),c_0_53]),c_0_17]) ).
cnf(c_0_104,negated_conjecture,
meet(a,meet(X1,join(x2,z2))) = meet(a,meet(X1,join(x2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_33]),c_0_50]) ).
cnf(c_0_105,negated_conjecture,
meet(join(x2,meet(a,y2)),join(z2,meet(a,x2))) = join(meet(a,y2),meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_103]),c_0_15]),c_0_17]),c_0_71]),c_0_104]),c_0_22]),c_0_17]) ).
cnf(c_0_106,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(meet(a,X2),X3))) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_107,negated_conjecture,
meet(z2,join(meet(a,y2),meet(x2,z2))) = meet(z2,join(x2,meet(a,y2))),
inference(spm,[status(thm)],[c_0_32,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
join(z2,join(meet(a,y2),meet(a,meet(x2,y2)))) = join(z2,meet(a,x2)),
inference(rw,[status(thm)],[c_0_92,c_0_71]) ).
cnf(c_0_109,plain,
meet(X1,meet(join(X2,X3),meet(join(X2,meet(a,X3)),X1))) = meet(X1,join(X2,meet(a,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_49]),c_0_19]),c_0_42]) ).
cnf(c_0_110,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_111,plain,
join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_112,negated_conjecture,
meet(z2,join(y2,meet(x2,z2))) = meet(z2,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_70]),c_0_94]),c_0_49]),c_0_17]) ).
cnf(c_0_113,plain,
join(meet(a,X1),meet(X2,join(X3,X1))) = meet(join(X1,X3),join(meet(a,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_34]),c_0_17]),c_0_52]),c_0_68]) ).
cnf(c_0_114,negated_conjecture,
join(z2,meet(a,y2)) = join(z2,meet(a,x2)),
inference(rw,[status(thm)],[c_0_108,c_0_62]) ).
cnf(c_0_115,negated_conjecture,
join(y2,join(meet(a,z2),meet(join(x2,y2),join(z2,meet(a,y2))))) = meet(join(x2,y2),join(y2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_87]),c_0_26]) ).
cnf(c_0_116,plain,
meet(X1,meet(join(X2,X3),join(X2,meet(a,X3)))) = meet(X1,join(X2,meet(a,X3))),
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_117,plain,
meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_118,plain,
join(X1,join(X2,meet(join(X2,X1),X3))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_111,c_0_17]) ).
cnf(c_0_119,negated_conjecture,
meet(join(y2,meet(x2,z2)),join(z2,meet(a,x2))) = meet(join(x2,y2),join(z2,meet(a,x2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_112]),c_0_113]),c_0_17]),c_0_17]),c_0_114]),c_0_17]),c_0_114]),c_0_15]) ).
cnf(c_0_120,negated_conjecture,
join(y2,meet(join(x2,y2),join(z2,meet(a,x2)))) = meet(join(x2,y2),join(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_77]),c_0_52]),c_0_17]),c_0_52]),c_0_17]),c_0_81]),c_0_114]) ).
cnf(c_0_121,plain,
join(meet(X1,X2),meet(a,X1)) = meet(X1,join(meet(a,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_37]),c_0_16]),c_0_17]),c_0_59]),c_0_15]) ).
cnf(c_0_122,negated_conjecture,
meet(a,meet(join(x2,y2),join(x2,meet(a,z2)))) = meet(a,join(x2,meet(a,z2))),
inference(spm,[status(thm)],[c_0_56,c_0_116]) ).
cnf(c_0_123,plain,
meet(join(meet(a,X1),X2),join(meet(a,X2),X1)) = join(meet(X1,X2),meet(a,join(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_44]),c_0_44]),c_0_44]) ).
cnf(c_0_124,negated_conjecture,
join(meet(a,y2),meet(a,z2)) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_74]),c_0_97]) ).
cnf(c_0_125,plain,
meet(join(X1,X2),join(X2,meet(a,X1))) = join(X2,meet(a,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_37]),c_0_17]),c_0_14]),c_0_15]) ).
cnf(c_0_126,plain,
join(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) = meet(X2,join(meet(X1,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_117]),c_0_17]) ).
cnf(c_0_127,negated_conjecture,
join(meet(x2,z2),meet(join(x2,y2),join(y2,z2))) = join(y2,meet(x2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_128,negated_conjecture,
join(y2,join(meet(a,z2),X1)) = join(y2,join(meet(a,x2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_94]),c_0_26]) ).
cnf(c_0_129,negated_conjecture,
join(meet(a,z2),meet(z2,join(x2,y2))) = meet(z2,join(x2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_51]),c_0_17]) ).
cnf(c_0_130,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_26]) ).
cnf(c_0_131,plain,
join(meet(X1,meet(a,X2)),meet(X1,meet(X2,join(meet(a,X2),X3)))) = meet(X1,join(meet(a,X2),meet(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_53]),c_0_44]),c_0_121]) ).
cnf(c_0_132,negated_conjecture,
join(y2,join(z2,meet(a,join(x2,y2)))) = join(y2,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_25]),c_0_26]) ).
cnf(c_0_133,negated_conjecture,
meet(a,meet(join(x2,y2),join(y2,z2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_37]),c_0_25]) ).
cnf(c_0_134,negated_conjecture,
meet(a,join(x2,meet(a,z2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_98]),c_0_19]),c_0_122]) ).
cnf(c_0_135,negated_conjecture,
join(meet(a,meet(y2,z2)),meet(a,join(x2,y2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_44]),c_0_17]),c_0_94]),c_0_15]),c_0_19]),c_0_125]),c_0_96]),c_0_19]),c_0_15]),c_0_17]),c_0_94]),c_0_96]) ).
cnf(c_0_136,negated_conjecture,
join(y2,join(meet(x2,z2),meet(z2,join(x2,y2)))) = join(y2,meet(x2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_112]),c_0_26]) ).
cnf(c_0_137,negated_conjecture,
join(meet(x2,z2),meet(z2,join(x2,y2))) = meet(z2,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_112]),c_0_112]) ).
cnf(c_0_138,negated_conjecture,
join(y2,meet(z2,join(x2,y2))) = meet(join(x2,y2),join(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_77]),c_0_17]),c_0_15]),c_0_120]) ).
cnf(c_0_139,negated_conjecture,
join(z2,join(meet(a,x2),meet(x2,y2))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_71]),c_0_17]),c_0_52]),c_0_17]),c_0_45]) ).
cnf(c_0_140,plain,
meet(X1,join(meet(a,X2),meet(X2,X3))) = meet(X1,meet(X2,join(meet(a,X2),X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_53]),c_0_44]),c_0_121]),c_0_17]),c_0_131]),c_0_121]) ).
cnf(c_0_141,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_19]),c_0_28]) ).
cnf(c_0_142,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(X3,meet(X2,a)))) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_49,c_0_15]) ).
cnf(c_0_143,negated_conjecture,
meet(join(y2,z2),join(z2,meet(a,join(x2,y2)))) = join(z2,meet(a,join(x2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_132]),c_0_15]) ).
cnf(c_0_144,negated_conjecture,
join(meet(a,join(x2,y2)),meet(join(x2,y2),join(y2,z2))) = meet(join(x2,y2),join(y2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_133]),c_0_17]) ).
cnf(c_0_145,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(meet(X3,a),meet(a,X2)))) = meet(X1,join(X2,meet(X3,a))),
inference(spm,[status(thm)],[c_0_49,c_0_28]) ).
cnf(c_0_146,plain,
meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_36]),c_0_15]) ).
cnf(c_0_147,plain,
join(meet(X1,a),meet(a,X2)) = meet(a,join(meet(a,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_28]),c_0_17]),c_0_14]),c_0_40]) ).
cnf(c_0_148,negated_conjecture,
meet(a,join(x2,meet(a,y2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[c_0_134,c_0_102]) ).
cnf(c_0_149,negated_conjecture,
meet(a,join(meet(a,x2),meet(y2,z2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_135]),c_0_44]),c_0_16]),c_0_19]),c_0_42]),c_0_15]),c_0_51]),c_0_42]),c_0_15]),c_0_89]),c_0_113]),c_0_17]),c_0_17]),c_0_14]),c_0_15]) ).
cnf(c_0_150,negated_conjecture,
meet(join(x2,y2),join(y2,z2)) = join(y2,meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_151,negated_conjecture,
meet(x2,meet(join(y2,meet(a,x2)),join(z2,meet(x2,y2)))) = join(meet(a,x2),meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_139]),c_0_15]),c_0_140]),c_0_17]),c_0_141]),c_0_42]),c_0_15]) ).
cnf(c_0_152,plain,
meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_16,c_0_26]) ).
cnf(c_0_153,negated_conjecture,
join(z2,meet(join(x2,y2),join(y2,z2))) = join(y2,z2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_15]),c_0_26]),c_0_81]),c_0_15]),c_0_26]),c_0_144]),c_0_52]),c_0_22]) ).
cnf(c_0_154,plain,
join(meet(X1,meet(X2,join(X3,meet(a,X4)))),meet(X1,meet(X2,join(X4,meet(a,X3))))) = meet(X1,meet(X2,join(X3,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_155,plain,
meet(a,join(X1,meet(X2,a))) = meet(a,join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_14]),c_0_147]),c_0_106]),c_0_14]) ).
cnf(c_0_156,negated_conjecture,
join(meet(a,meet(x2,y2)),meet(a,join(x2,y2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_99]),c_0_44]),c_0_17]),c_0_15]),c_0_19]),c_0_116]),c_0_148]),c_0_19]),c_0_15]),c_0_17]),c_0_148]) ).
cnf(c_0_157,negated_conjecture,
join(meet(a,x2),meet(a,meet(y2,z2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_149]),c_0_44]),c_0_44]),c_0_77]),c_0_17]),c_0_14]),c_0_135]),c_0_44]),c_0_17]) ).
cnf(c_0_158,negated_conjecture,
meet(a,meet(y2,join(z2,meet(a,x2)))) = meet(a,y2),
inference(spm,[status(thm)],[c_0_95,c_0_71]) ).
cnf(c_0_159,negated_conjecture,
meet(x2,join(meet(a,y2),meet(x2,z2))) = meet(x2,join(z2,meet(a,x2))),
inference(spm,[status(thm)],[c_0_27,c_0_105]) ).
cnf(c_0_160,negated_conjecture,
meet(x2,join(y2,meet(x2,z2))) = meet(x2,join(y2,z2)),
inference(spm,[status(thm)],[c_0_27,c_0_150]) ).
cnf(c_0_161,negated_conjecture,
join(meet(a,x2),meet(x2,y2)) = meet(x2,join(y2,meet(a,x2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_151]),c_0_140]),c_0_17]),c_0_44]) ).
cnf(c_0_162,negated_conjecture,
meet(join(X1,z2),join(X1,join(y2,z2))) = join(X1,z2),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_163,negated_conjecture,
meet(a,meet(y2,join(z2,meet(x2,y2)))) = meet(a,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_95]),c_0_53]) ).
cnf(c_0_164,negated_conjecture,
meet(a,meet(join(x2,y2),join(z2,meet(a,join(x2,y2))))) = meet(a,join(z2,meet(a,join(x2,y2)))),
inference(spm,[status(thm)],[c_0_46,c_0_143]) ).
cnf(c_0_165,plain,
meet(a,join(X1,meet(a,X2))) = meet(a,join(X1,X2)),
inference(spm,[status(thm)],[c_0_155,c_0_15]) ).
cnf(c_0_166,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_22,c_0_76]) ).
cnf(c_0_167,negated_conjecture,
meet(a,meet(x2,join(y2,meet(a,z2)))) = meet(a,x2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_78]),c_0_16]),c_0_19]) ).
cnf(c_0_168,plain,
join(meet(a,X1),meet(a,X2)) = meet(a,join(meet(a,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_28]),c_0_17]),c_0_14]),c_0_15]),c_0_32]) ).
cnf(c_0_169,negated_conjecture,
meet(a,join(meet(x2,y2),meet(a,join(x2,y2)))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_156]),c_0_44]),c_0_16]),c_0_19]),c_0_40]),c_0_15]),c_0_42]),c_0_15]),c_0_77]),c_0_17]),c_0_14]) ).
cnf(c_0_170,plain,
meet(a,meet(X1,meet(X2,join(meet(X2,X3),meet(a,meet(X1,join(X2,X3))))))) = meet(a,meet(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_35]),c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_22]) ).
cnf(c_0_171,negated_conjecture,
join(meet(a,y2),meet(a,meet(x2,z2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_157]),c_0_50]),c_0_15]),c_0_17]),c_0_71]),c_0_19]),c_0_55]),c_0_64]),c_0_19]),c_0_17]),c_0_158]),c_0_17]) ).
cnf(c_0_172,negated_conjecture,
join(meet(x2,join(y2,meet(a,x2))),meet(x2,join(z2,meet(a,x2)))) = meet(x2,join(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_159]),c_0_70]),c_0_94]),c_0_160]) ).
cnf(c_0_173,plain,
join(meet(a,X1),meet(X1,X2)) = meet(X1,join(meet(a,X1),X2)),
inference(spm,[status(thm)],[c_0_17,c_0_121]) ).
cnf(c_0_174,negated_conjecture,
join(z2,meet(x2,join(y2,meet(a,x2)))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[c_0_139,c_0_161]) ).
cnf(c_0_175,negated_conjecture,
meet(join(X1,z2),join(y2,join(z2,X1))) = join(X1,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_17]),c_0_26]) ).
cnf(c_0_176,negated_conjecture,
join(z2,join(meet(a,y2),meet(x2,y2))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_163]),c_0_26]),c_0_17]) ).
cnf(c_0_177,negated_conjecture,
join(meet(a,y2),meet(a,join(z2,meet(x2,y2)))) = meet(a,join(z2,meet(x2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_163]),c_0_17]) ).
cnf(c_0_178,negated_conjecture,
meet(a,join(z2,meet(a,join(x2,y2)))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_164]),c_0_28]),c_0_15]),c_0_22]),c_0_15]) ).
cnf(c_0_179,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_180,negated_conjecture,
meet(join(y2,join(z2,meet(a,X1))),join(meet(a,join(x2,y2)),X1)) = join(meet(X1,join(y2,z2)),meet(a,join(X1,join(y2,z2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_25]),c_0_44]),c_0_52]),c_0_17]),c_0_45]),c_0_44]),c_0_44]) ).
cnf(c_0_181,negated_conjecture,
meet(a,join(X1,join(y2,z2))) = meet(a,join(X1,join(x2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_25]),c_0_165]) ).
cnf(c_0_182,plain,
join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_166]),c_0_26]) ).
cnf(c_0_183,negated_conjecture,
meet(a,join(meet(a,z2),meet(x2,y2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_167]),c_0_17]),c_0_84]),c_0_168]),c_0_17]),c_0_169]),c_0_168]) ).
cnf(c_0_184,negated_conjecture,
join(z2,meet(a,join(x2,y2))) = join(z2,meet(a,x2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_114]),c_0_97]) ).
cnf(c_0_185,plain,
join(X1,meet(X2,meet(X3,meet(X4,X1)))) = X1,
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_186,negated_conjecture,
meet(a,meet(x2,meet(z2,join(meet(a,z2),meet(x2,y2))))) = meet(a,meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_51]),c_0_17]),c_0_15]),c_0_42]),c_0_15]) ).
cnf(c_0_187,negated_conjecture,
join(meet(a,meet(x2,z2)),meet(a,join(x2,y2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_84]),c_0_44]),c_0_17]),c_0_102]),c_0_15]),c_0_19]),c_0_116]),c_0_148]),c_0_19]),c_0_15]),c_0_17]),c_0_102]),c_0_148]) ).
cnf(c_0_188,negated_conjecture,
join(meet(x2,z2),meet(a,join(x2,y2))) = join(meet(a,y2),meet(x2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_171]),c_0_17]) ).
cnf(c_0_189,negated_conjecture,
join(z2,meet(x2,join(y2,z2))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_172]),c_0_26]),c_0_173]),c_0_52]),c_0_17]),c_0_45]),c_0_38]),c_0_26]),c_0_173]),c_0_76]),c_0_17]),c_0_174]) ).
cnf(c_0_190,negated_conjecture,
meet(join(y2,z2),join(z2,meet(x2,y2))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_26]),c_0_17]),c_0_45]),c_0_176]),c_0_130]),c_0_26]),c_0_17]),c_0_45]),c_0_176]),c_0_15]) ).
cnf(c_0_191,negated_conjecture,
meet(a,join(y2,meet(a,join(z2,meet(x2,y2))))) = meet(a,join(z2,meet(x2,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_177]),c_0_44]),c_0_17]),c_0_22]),c_0_42]),c_0_15]),c_0_163]),c_0_77]),c_0_17]),c_0_14]) ).
cnf(c_0_192,negated_conjecture,
join(z2,join(meet(a,y2),X1)) = join(z2,join(meet(a,x2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_114]),c_0_26]) ).
cnf(c_0_193,negated_conjecture,
meet(a,join(x2,join(y2,z2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_178]),c_0_26]),c_0_81]),c_0_179]),c_0_52]) ).
cnf(c_0_194,plain,
join(X1,meet(a,join(X2,X1))) = join(X1,meet(a,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_165]),c_0_26]),c_0_113]),c_0_17]),c_0_14]),c_0_15]) ).
cnf(c_0_195,negated_conjecture,
meet(join(x2,join(z2,meet(a,X1))),join(meet(a,join(x2,y2)),X1)) = join(meet(X1,join(x2,z2)),meet(a,join(X1,join(x2,z2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_44]),c_0_52]),c_0_17]),c_0_45]),c_0_44]),c_0_44]) ).
cnf(c_0_196,negated_conjecture,
meet(a,join(X1,join(x2,z2))) = meet(a,join(X1,join(x2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_33]),c_0_165]) ).
cnf(c_0_197,negated_conjecture,
meet(join(y2,join(z2,meet(a,X1))),join(meet(a,join(x2,y2)),X1)) = join(meet(X1,join(y2,z2)),meet(a,join(X1,join(x2,y2)))),
inference(rw,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_198,negated_conjecture,
join(meet(x2,y2),meet(a,join(x2,y2))) = join(meet(a,z2),meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_168]),c_0_17]),c_0_184]),c_0_64]),c_0_17]) ).
cnf(c_0_199,plain,
meet(a,join(meet(X1,a),X2)) = meet(a,join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_155]),c_0_28]),c_0_113]),c_0_17]),c_0_14]),c_0_15]),c_0_28]),c_0_17]),c_0_14]),c_0_15]) ).
cnf(c_0_200,negated_conjecture,
join(x2,join(meet(a,z2),X1)) = join(x2,join(meet(a,y2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_102]),c_0_26]) ).
cnf(c_0_201,negated_conjecture,
join(meet(a,z2),join(meet(x2,y2),meet(a,meet(x2,z2)))) = join(meet(a,z2),meet(x2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_26]) ).
cnf(c_0_202,negated_conjecture,
meet(a,join(meet(a,y2),meet(x2,z2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_187]),c_0_44]),c_0_16]),c_0_19]),c_0_42]),c_0_15]),c_0_51]),c_0_42]),c_0_15]),c_0_188]),c_0_113]),c_0_17]),c_0_17]),c_0_14]),c_0_15]) ).
cnf(c_0_203,plain,
join(meet(X1,X2),meet(a,X2)) = meet(X2,join(meet(a,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_37]),c_0_17]),c_0_59]),c_0_22]) ).
cnf(c_0_204,negated_conjecture,
meet(x2,join(z2,meet(x2,y2))) = meet(x2,join(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_189]),c_0_19]),c_0_190]) ).
cnf(c_0_205,negated_conjecture,
meet(a,join(z2,meet(x2,y2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_191]),c_0_26]),c_0_17]),c_0_192]),c_0_139]),c_0_179]),c_0_130]),c_0_25]) ).
cnf(c_0_206,negated_conjecture,
join(meet(a,join(x2,y2)),meet(x2,join(y2,z2))) = meet(join(y2,z2),join(x2,meet(a,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_38]),c_0_17]),c_0_193]),c_0_17]),c_0_100]),c_0_102]) ).
cnf(c_0_207,plain,
join(X1,meet(a,join(X1,X2))) = join(X1,meet(a,X2)),
inference(spm,[status(thm)],[c_0_194,c_0_17]) ).
cnf(c_0_208,negated_conjecture,
meet(join(x2,join(z2,meet(a,X1))),join(meet(a,join(x2,y2)),X1)) = join(meet(X1,join(x2,z2)),meet(a,join(X1,join(x2,y2)))),
inference(rw,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_209,negated_conjecture,
meet(join(y2,z2),join(meet(a,z2),meet(x2,y2))) = join(meet(a,z2),meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_71]),c_0_38]),c_0_17]),c_0_198]),c_0_19]),c_0_16]),c_0_52]),c_0_17]),c_0_14]),c_0_17]),c_0_198]) ).
cnf(c_0_210,plain,
join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_76]),c_0_26]),c_0_26]) ).
cnf(c_0_211,plain,
meet(a,join(meet(a,X1),X2)) = meet(a,join(X1,X2)),
inference(spm,[status(thm)],[c_0_199,c_0_15]) ).
cnf(c_0_212,plain,
meet(join(X1,X2),join(X1,meet(a,X2))) = join(X1,meet(a,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_37]),c_0_14]),c_0_15]) ).
cnf(c_0_213,negated_conjecture,
join(x2,join(meet(a,z2),meet(y2,z2))) = join(x2,meet(y2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_83]),c_0_36]) ).
cnf(c_0_214,negated_conjecture,
join(x2,join(meet(a,y2),join(meet(x2,y2),meet(a,meet(x2,z2))))) = join(x2,meet(a,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_90]),c_0_102]) ).
cnf(c_0_215,negated_conjecture,
meet(a,join(y2,meet(x2,z2))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_202]),c_0_70]),c_0_94]),c_0_96]),c_0_179]) ).
cnf(c_0_216,plain,
meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_217,plain,
meet(X1,meet(join(X2,meet(a,X3)),join(X4,meet(X1,join(X3,X2))))) = meet(X1,join(X2,meet(a,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_49]),c_0_19]) ).
cnf(c_0_218,negated_conjecture,
join(x2,meet(a,join(x2,y2))) = join(x2,meet(a,y2)),
inference(rw,[status(thm)],[c_0_100,c_0_102]) ).
cnf(c_0_219,negated_conjecture,
meet(join(x2,meet(a,y2)),join(z2,meet(x2,y2))) = meet(join(y2,z2),join(x2,meet(a,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]),c_0_17]),c_0_206]),c_0_17]),c_0_205]),c_0_207]),c_0_15]) ).
cnf(c_0_220,negated_conjecture,
join(z2,meet(join(y2,z2),join(x2,meet(a,y2)))) = meet(join(x2,z2),join(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_26]),c_0_17]),c_0_102]),c_0_77]),c_0_52]),c_0_17]),c_0_45]),c_0_38]),c_0_15]) ).
cnf(c_0_221,negated_conjecture,
meet(join(x2,z2),join(meet(a,z2),meet(x2,y2))) = join(meet(a,z2),meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_71]),c_0_130]),c_0_17]),c_0_198]),c_0_19]),c_0_32]),c_0_52]),c_0_17]),c_0_14]),c_0_17]),c_0_198]) ).
cnf(c_0_222,negated_conjecture,
join(z2,join(meet(a,x2),join(meet(a,z2),meet(x2,y2)))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_209]),c_0_71]),c_0_47]),c_0_26]),c_0_190]) ).
cnf(c_0_223,negated_conjecture,
join(y2,join(X1,meet(a,z2))) = join(y2,join(X1,meet(a,x2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_94]),c_0_210]) ).
cnf(c_0_224,plain,
join(meet(a,X1),meet(a,X2)) = meet(a,join(X2,X1)),
inference(rw,[status(thm)],[c_0_168,c_0_211]) ).
cnf(c_0_225,negated_conjecture,
join(meet(a,y2),meet(y2,join(x2,z2))) = meet(y2,join(x2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_86]),c_0_17]) ).
cnf(c_0_226,negated_conjecture,
meet(join(x2,z2),join(x2,meet(a,y2))) = join(x2,meet(a,y2)),
inference(spm,[status(thm)],[c_0_212,c_0_102]) ).
cnf(c_0_227,negated_conjecture,
meet(y2,join(meet(a,x2),meet(y2,z2))) = meet(y2,join(z2,meet(a,x2))),
inference(spm,[status(thm)],[c_0_27,c_0_78]) ).
cnf(c_0_228,negated_conjecture,
join(meet(a,y2),meet(y2,join(z2,meet(a,x2)))) = meet(y2,join(z2,meet(a,x2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_158]),c_0_17]) ).
cnf(c_0_229,negated_conjecture,
meet(join(x2,meet(a,y2)),join(x2,meet(y2,z2))) = join(x2,meet(a,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_213]),c_0_102]),c_0_102]) ).
cnf(c_0_230,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_179]) ).
cnf(c_0_231,negated_conjecture,
join(meet(a,y2),join(meet(a,z2),meet(x2,y2))) = meet(join(x2,meet(a,y2)),join(y2,meet(a,x2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_214]),c_0_165]),c_0_26]),c_0_26]),c_0_168]),c_0_17]),c_0_188]),c_0_211]),c_0_215]),c_0_198]),c_0_26]),c_0_26]),c_0_168]),c_0_140]),c_0_17]),c_0_216]),c_0_17]),c_0_173]),c_0_17]),c_0_77]),c_0_17]) ).
cnf(c_0_232,negated_conjecture,
meet(a,meet(join(x2,meet(a,y2)),join(y2,meet(a,x2)))) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_96]),c_0_15]) ).
cnf(c_0_233,plain,
join(meet(a,X1),meet(X2,X1)) = meet(X1,join(meet(a,X1),X2)),
inference(spm,[status(thm)],[c_0_17,c_0_203]) ).
cnf(c_0_234,plain,
meet(join(meet(a,meet(X1,X2)),X3),join(meet(X3,X2),meet(a,meet(X1,join(X3,X2))))) = join(meet(X2,X3),meet(a,meet(X1,join(X2,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_35]),c_0_35]) ).
cnf(c_0_235,negated_conjecture,
join(meet(x2,y2),meet(join(x2,z2),join(y2,z2))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_219]),c_0_220]),c_0_17]) ).
cnf(c_0_236,negated_conjecture,
meet(join(x2,z2),join(z2,meet(x2,y2))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_221]),c_0_71]),c_0_125]),c_0_26]),c_0_222]) ).
cnf(c_0_237,plain,
join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_28]) ).
cnf(c_0_238,negated_conjecture,
join(y2,meet(a,join(z2,X1))) = join(y2,meet(a,join(x2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_168]),c_0_211]) ).
cnf(c_0_239,negated_conjecture,
join(z2,meet(join(x2,z2),join(y2,meet(a,x2)))) = join(z2,meet(y2,join(x2,z2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_225]),c_0_77]),c_0_17]),c_0_15]) ).
cnf(c_0_240,negated_conjecture,
join(x2,meet(join(x2,z2),join(y2,meet(a,x2)))) = meet(join(x2,y2),join(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_226]),c_0_26]),c_0_77]),c_0_52]),c_0_17]),c_0_45]),c_0_114]),c_0_130]),c_0_15]) ).
cnf(c_0_241,negated_conjecture,
meet(y2,join(meet(a,x2),join(meet(a,y2),meet(y2,z2)))) = meet(y2,join(z2,meet(a,x2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_227]),c_0_17]),c_0_228]),c_0_45]) ).
cnf(c_0_242,negated_conjecture,
join(x2,join(meet(a,y2),meet(y2,z2))) = join(x2,meet(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_229]),c_0_230]),c_0_17]),c_0_52]),c_0_17]),c_0_45]) ).
cnf(c_0_243,negated_conjecture,
join(meet(a,z2),meet(y2,join(x2,meet(a,y2)))) = join(meet(a,z2),meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_231]),c_0_232]),c_0_26]),c_0_198]),c_0_230]),c_0_44]),c_0_26]),c_0_17]),c_0_233]),c_0_17]) ).
cnf(c_0_244,negated_conjecture,
meet(join(x2,meet(a,y2)),join(meet(a,z2),meet(x2,y2))) = join(meet(a,z2),meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_51]),c_0_15]),c_0_17]),c_0_103]),c_0_15]),c_0_17]),c_0_51]),c_0_17]),c_0_17]) ).
cnf(c_0_245,negated_conjecture,
meet(join(x2,z2),join(y2,z2)) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_235]),c_0_19]),c_0_190]),c_0_236]) ).
cnf(c_0_246,plain,
meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_237]),c_0_19]) ).
cnf(c_0_247,negated_conjecture,
join(y2,meet(a,join(x2,meet(y2,join(x2,z2))))) = join(y2,meet(a,x2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_238]),c_0_240]),c_0_104]),c_0_37]),c_0_194]) ).
cnf(c_0_248,negated_conjecture,
join(meet(y2,join(x2,meet(a,y2))),meet(y2,join(z2,meet(a,x2)))) = meet(y2,join(x2,meet(y2,z2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_241]),c_0_140]),c_0_17]),c_0_114]),c_0_158]),c_0_242]) ).
cnf(c_0_249,negated_conjecture,
join(x2,meet(y2,join(z2,meet(a,x2)))) = join(x2,meet(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_229]),c_0_26]),c_0_210]),c_0_121]),c_0_17]),c_0_114]) ).
cnf(c_0_250,negated_conjecture,
meet(y2,join(meet(a,z2),meet(x2,y2))) = meet(y2,join(x2,meet(a,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_243]),c_0_19]),c_0_244]) ).
cnf(c_0_251,negated_conjecture,
meet(y2,join(z2,meet(x2,y2))) = meet(y2,join(x2,z2)),
inference(spm,[status(thm)],[c_0_32,c_0_245]) ).
cnf(c_0_252,plain,
join(X1,join(X2,meet(X3,meet(X4,join(X1,X2))))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_253,negated_conjecture,
meet(a,meet(join(x2,y2),join(x2,meet(y2,join(x2,z2))))) = meet(a,join(x2,meet(y2,join(x2,z2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_165]),c_0_17]),c_0_15]),c_0_19]),c_0_15]) ).
cnf(c_0_254,negated_conjecture,
upjo(x2,y2,z2) != lojo(x2,y2,z2),
conjecture_2 ).
cnf(c_0_255,axiom,
lojo(X1,X2,X3) = join(X1,meet(X2,X3)),
definition_of_lojo ).
cnf(c_0_256,axiom,
upjo(X1,X2,X3) = meet(join(X1,X2),join(X1,X3)),
definition_of_upjo ).
cnf(c_0_257,negated_conjecture,
join(x2,meet(y2,join(x2,meet(y2,z2)))) = join(x2,meet(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_248]),c_0_26]),c_0_173]),c_0_45]),c_0_173]),c_0_17]),c_0_114]),c_0_249]),c_0_26]),c_0_173]),c_0_52]),c_0_17]),c_0_114]),c_0_76]),c_0_17]),c_0_249]) ).
cnf(c_0_258,negated_conjecture,
meet(y2,join(x2,meet(y2,z2))) = meet(y2,join(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_250]),c_0_71]),c_0_17]),c_0_248]),c_0_251]) ).
cnf(c_0_259,negated_conjecture,
join(x2,meet(y2,join(x2,z2))) = meet(join(x2,y2),join(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_194]),c_0_17]),c_0_77]),c_0_17]),c_0_15]),c_0_240]) ).
cnf(c_0_260,negated_conjecture,
join(x2,meet(y2,z2)) != meet(join(x2,y2),join(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_255]),c_0_256]) ).
cnf(c_0_261,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_258]),c_0_259]),c_0_260]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT401-1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 08:13:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 85.21/85.25 % Version : CSE_E---1.5
% 85.21/85.25 % Problem : theBenchmark.p
% 85.21/85.25 % Proof found
% 85.21/85.25 % SZS status Theorem for theBenchmark.p
% 85.21/85.25 % SZS output start Proof
% See solution above
% 85.32/85.28 % Total time : 84.659000 s
% 85.32/85.28 % SZS output end Proof
% 85.32/85.28 % Total time : 84.665000 s
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