TSTP Solution File: LAT400-3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT400-3 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 06:02:31 EDT 2023
% Result : Unsatisfiable 89.17s 89.72s
% Output : CNFRefutation 89.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 21
% Syntax : Number of formulae : 190 ( 182 unt; 8 typ; 0 def)
% Number of atoms : 182 ( 181 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 10 ( 4 >; 6 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 247 ( 30 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,
lome: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
a: $i ).
tff(decl_27,type,
x2: $i ).
tff(decl_28,type,
y2: $i ).
tff(decl_29,type,
z2: $i ).
cnf(absorption,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
cnf(commutativity,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity) ).
cnf(conjecture,negated_conjecture,
upme(a,x2,y2) = upme(a,x2,z2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
cnf(definition_of_upme,axiom,
upme(X1,X2,X3) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_upme) ).
cnf(absorption_003,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption_003) ).
cnf(associativity_002,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_002) ).
cnf(associativity,axiom,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
cnf(commutativity_001,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_001) ).
cnf(rh2,axiom,
upme(X1,X2,X3) = join(upme(X1,X2,meet(a,X3)),upme(X1,X3,meet(a,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rh2) ).
cnf(rl1,axiom,
lome(X1,X2,X3) = upme(X1,upme(X2,X1,X3),upme(X3,X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rl1) ).
cnf(definition_of_lome,axiom,
lome(X1,X2,X3) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_lome) ).
cnf(rh1,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/sandbox/benchmark/theBenchmark.p',rh1) ).
cnf(conjecture_1,negated_conjecture,
upme(x2,y2,z2) != lome(x2,y2,z2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
cnf(c_0_13,axiom,
join(X1,meet(X1,X2)) = X1,
absorption ).
cnf(c_0_14,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity ).
cnf(c_0_15,negated_conjecture,
upme(a,x2,y2) = upme(a,x2,z2),
conjecture ).
cnf(c_0_16,axiom,
upme(X1,X2,X3) = meet(X1,join(X2,X3)),
definition_of_upme ).
cnf(c_0_17,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,axiom,
meet(X1,join(X1,X2)) = X1,
absorption_003 ).
cnf(c_0_19,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
associativity_002 ).
cnf(c_0_20,negated_conjecture,
meet(a,join(x2,z2)) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]) ).
cnf(c_0_21,axiom,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
associativity ).
cnf(c_0_22,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
join(x2,join(y2,meet(a,join(x2,z2)))) = join(x2,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_20]),c_0_19]) ).
cnf(c_0_24,axiom,
join(X1,X2) = join(X2,X1),
commutativity_001 ).
cnf(c_0_25,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
join(y2,join(x2,meet(a,join(x2,z2)))) = 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_22,c_0_23]),c_0_19]),c_0_19]),c_0_24]),c_0_19]),c_0_23]),c_0_22]),c_0_24]),c_0_24]) ).
cnf(c_0_27,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_28,axiom,
upme(X1,X2,X3) = join(upme(X1,X2,meet(a,X3)),upme(X1,X3,meet(a,X2))),
rh2 ).
cnf(c_0_29,axiom,
lome(X1,X2,X3) = upme(X1,upme(X2,X1,X3),upme(X3,X1,X2)),
rl1 ).
cnf(c_0_30,axiom,
lome(X1,X2,X3) = join(meet(X1,X2),meet(X1,X3)),
definition_of_lome ).
cnf(c_0_31,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_32,negated_conjecture,
meet(y2,meet(join(x2,y2),X1)) = meet(y2,X1),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_13]),c_0_21]) ).
cnf(c_0_34,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_28,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_35,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,join(X1,X3)),meet(X3,join(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_16]),c_0_16]),c_0_16]),c_0_30]) ).
cnf(c_0_36,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_37,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_14]) ).
cnf(c_0_38,negated_conjecture,
meet(a,meet(join(x2,y2),X1)) = meet(a,meet(join(x2,z2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_21]) ).
cnf(c_0_39,negated_conjecture,
meet(join(x2,y2),join(y2,meet(a,join(x2,z2)))) = join(y2,meet(a,join(x2,z2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_14]) ).
cnf(c_0_40,negated_conjecture,
meet(y2,meet(X1,join(x2,y2))) = meet(y2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_32]) ).
cnf(c_0_41,negated_conjecture,
join(meet(X1,join(x2,join(y2,meet(a,X2)))),meet(X1,join(X2,meet(a,join(x2,z2))))) = meet(X1,join(x2,join(y2,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_20]),c_0_19]),c_0_19]) ).
cnf(c_0_42,plain,
meet(X1,join(meet(X2,join(X1,X3)),meet(X3,join(X2,X1)))) = join(meet(X1,X2),meet(X1,X3)),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
cnf(c_0_43,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13]),c_0_21]) ).
cnf(c_0_44,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_18]),c_0_19]) ).
cnf(c_0_45,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_25]),c_0_19]) ).
cnf(c_0_46,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_47,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_24]),c_0_19]) ).
cnf(c_0_48,plain,
meet(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_49,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
cnf(c_0_50,negated_conjecture,
meet(a,meet(join(x2,z2),join(y2,meet(a,join(x2,z2))))) = meet(a,join(y2,meet(a,join(x2,z2)))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_51,negated_conjecture,
meet(y2,meet(a,join(x2,z2))) = meet(a,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_20]),c_0_14]) ).
cnf(c_0_52,negated_conjecture,
join(meet(a,z2),join(meet(x2,z2),meet(z2,join(x2,y2)))) = meet(z2,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(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_14]),c_0_45]),c_0_14]),c_0_24]),c_0_46]),c_0_24]),c_0_47]) ).
cnf(c_0_53,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
meet(a,join(y2,meet(a,join(x2,z2)))) = meet(a,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_49,c_0_50]),c_0_33]),c_0_14]),c_0_27]),c_0_14]) ).
cnf(c_0_55,negated_conjecture,
join(x2,join(z2,meet(a,y2))) = join(x2,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_51]),c_0_19]) ).
cnf(c_0_56,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_57,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)),
rh1 ).
cnf(c_0_58,plain,
meet(X1,join(meet(X2,join(X1,meet(X3,X4))),meet(X3,meet(X4,join(X1,X2))))) = join(meet(X1,X2),meet(X1,meet(X3,X4))),
inference(spm,[status(thm)],[c_0_35,c_0_21]) ).
cnf(c_0_59,negated_conjecture,
meet(a,meet(z2,join(x2,y2))) = meet(a,z2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_52]),c_0_21]),c_0_53]) ).
cnf(c_0_60,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_61,negated_conjecture,
meet(a,join(x2,join(z2,y2))) = meet(a,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_34,c_0_54]),c_0_19]),c_0_55]),c_0_56]),c_0_46]) ).
cnf(c_0_62,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_57,c_0_16]) ).
cnf(c_0_63,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_25]) ).
cnf(c_0_64,negated_conjecture,
meet(x2,join(meet(a,z2),meet(y2,join(x2,meet(a,z2))))) = join(meet(x2,y2),meet(a,meet(x2,z2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_24]),c_0_60]),c_0_14]) ).
cnf(c_0_65,negated_conjecture,
meet(a,meet(join(x2,z2),join(z2,y2))) = meet(a,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_61]),c_0_60]),c_0_14]) ).
cnf(c_0_66,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_62,c_0_21]),c_0_21]),c_0_21]),c_0_24]) ).
cnf(c_0_67,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_21,c_0_33]),c_0_21]),c_0_21]) ).
cnf(c_0_68,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_69,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_70,plain,
join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_71,negated_conjecture,
meet(a,meet(z2,join(meet(x2,y2),meet(a,meet(x2,z2))))) = meet(a,meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_21]),c_0_21]),c_0_14]) ).
cnf(c_0_72,negated_conjecture,
join(x2,join(z2,meet(a,join(z2,y2)))) = join(x2,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_65]),c_0_19]) ).
cnf(c_0_73,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_34,c_0_66]),c_0_21]),c_0_19]),c_0_67]),c_0_53]),c_0_14]),c_0_67]),c_0_66]) ).
cnf(c_0_74,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_17,c_0_66]),c_0_19]),c_0_68]) ).
cnf(c_0_75,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_13,c_0_66]),c_0_19]),c_0_69]) ).
cnf(c_0_76,negated_conjecture,
join(meet(a,z2),meet(a,meet(x2,z2))) = meet(a,z2),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
meet(join(x2,z2),join(z2,meet(a,join(z2,y2)))) = join(z2,meet(a,join(z2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_72]),c_0_14]) ).
cnf(c_0_78,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_56]) ).
cnf(c_0_79,plain,
join(X1,join(X2,meet(X3,meet(X4,X1)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_44]),c_0_69]) ).
cnf(c_0_80,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_34,c_0_66]),c_0_21]),c_0_67]),c_0_53]),c_0_14]),c_0_46]),c_0_24]),c_0_47]),c_0_73]),c_0_67]),c_0_14]) ).
cnf(c_0_81,negated_conjecture,
join(x2,meet(a,meet(z2,y2))) = join(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_74,c_0_59]),c_0_46]),c_0_24]),c_0_47]),c_0_70]),c_0_24]) ).
cnf(c_0_82,negated_conjecture,
join(y2,meet(a,meet(x2,z2))) = join(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_59]),c_0_14]),c_0_14]),c_0_46]),c_0_24]),c_0_47]),c_0_76]),c_0_24]) ).
cnf(c_0_83,negated_conjecture,
join(meet(a,z2),meet(a,join(z2,y2))) = meet(a,join(z2,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_42,c_0_77]),c_0_36]),c_0_78]),c_0_27]),c_0_21]),c_0_21]),c_0_14]),c_0_65]),c_0_14]),c_0_18]) ).
cnf(c_0_84,plain,
join(meet(X1,join(X2,meet(X3,meet(a,X4)))),meet(X1,join(meet(X4,X3),meet(a,X2)))) = meet(X1,join(X2,meet(X4,X3))),
inference(spm,[status(thm)],[c_0_34,c_0_60]) ).
cnf(c_0_85,plain,
meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_13]),c_0_21]),c_0_63]),c_0_53]) ).
cnf(c_0_86,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_66,c_0_33]),c_0_24]),c_0_13]),c_0_14]),c_0_63]) ).
cnf(c_0_87,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_34,c_0_24]) ).
cnf(c_0_88,plain,
meet(join(meet(a,meet(X1,X2)),X3),join(X2,meet(a,meet(X1,join(X3,meet(a,meet(X1,X2))))))) = join(meet(a,meet(X1,join(X2,X3))),meet(X2,join(X3,meet(a,meet(X1,X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_22]),c_0_79]),c_0_24]),c_0_24]) ).
cnf(c_0_89,plain,
meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_27]) ).
cnf(c_0_90,negated_conjecture,
meet(join(x2,meet(a,z2)),join(y2,meet(a,z2))) = 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_80,c_0_81]),c_0_14]),c_0_24]),c_0_82]),c_0_59]),c_0_24]) ).
cnf(c_0_91,negated_conjecture,
meet(a,meet(X1,join(x2,y2))) = meet(a,meet(X1,join(x2,z2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_20]),c_0_67]) ).
cnf(c_0_92,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
cnf(c_0_93,negated_conjecture,
join(y2,meet(a,join(z2,y2))) = join(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_65]),c_0_14]),c_0_27]),c_0_14]),c_0_27]),c_0_47]),c_0_83]),c_0_24]) ).
cnf(c_0_94,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_34,c_0_48]),c_0_24]),c_0_13]),c_0_14]) ).
cnf(c_0_95,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(spm,[status(thm)],[c_0_84,c_0_85]),c_0_53]),c_0_86]),c_0_87]) ).
cnf(c_0_96,plain,
join(X1,join(meet(X2,meet(X1,X3)),X4)) = join(X1,X4),
inference(spm,[status(thm)],[c_0_19,c_0_37]) ).
cnf(c_0_97,negated_conjecture,
join(meet(a,z2),meet(y2,join(x2,meet(a,z2)))) = 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(spm,[status(thm)],[c_0_88,c_0_81]),c_0_24]),c_0_81]),c_0_89]),c_0_90]),c_0_24]),c_0_91]),c_0_27]) ).
cnf(c_0_98,negated_conjecture,
meet(x2,join(meet(a,z2),meet(x2,y2))) = meet(x2,join(y2,meet(a,z2))),
inference(spm,[status(thm)],[c_0_25,c_0_90]) ).
cnf(c_0_99,negated_conjecture,
join(x2,join(y2,meet(a,z2))) = join(x2,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_59]),c_0_19]) ).
cnf(c_0_100,negated_conjecture,
meet(x2,join(meet(a,join(x2,z2)),meet(y2,join(a,x2)))) = join(meet(a,x2),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_35,c_0_20]),c_0_24]),c_0_24]),c_0_14]),c_0_24]) ).
cnf(c_0_101,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_66,c_0_18]),c_0_92]),c_0_24]),c_0_47]),c_0_14]) ).
cnf(c_0_102,negated_conjecture,
meet(a,join(y2,meet(a,z2))) = meet(a,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_93]),c_0_21]),c_0_94]) ).
cnf(c_0_103,plain,
meet(a,join(X1,meet(a,X2))) = meet(a,join(X1,X2)),
inference(spm,[status(thm)],[c_0_95,c_0_14]) ).
cnf(c_0_104,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_66,c_0_27]),c_0_36]),c_0_24]),c_0_46]),c_0_96]) ).
cnf(c_0_105,negated_conjecture,
join(meet(x2,y2),meet(a,meet(x2,z2))) = meet(x2,join(y2,meet(a,z2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_97]),c_0_98]) ).
cnf(c_0_106,plain,
meet(X1,join(meet(X2,join(X1,X3)),meet(join(X1,X2),X3))) = join(meet(X1,X2),meet(X1,X3)),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_107,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_27,c_0_99]),c_0_14]) ).
cnf(c_0_108,negated_conjecture,
join(z2,join(meet(a,y2),join(x2,z2))) = join(z2,join(x2,meet(a,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_55]),c_0_19]),c_0_19]),c_0_24]) ).
cnf(c_0_109,negated_conjecture,
meet(y2,meet(join(a,x2),join(meet(a,x2),meet(x2,y2)))) = 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_43,c_0_100]),c_0_21]),c_0_21]),c_0_14]),c_0_27]),c_0_14]) ).
cnf(c_0_110,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_101,c_0_96]) ).
cnf(c_0_111,negated_conjecture,
join(meet(a,y2),meet(a,join(z2,y2))) = join(meet(a,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_75,c_0_102]),c_0_53]),c_0_53]),c_0_83]),c_0_53]),c_0_24]) ).
cnf(c_0_112,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_17,c_0_103]),c_0_19]),c_0_104]),c_0_24]),c_0_13]),c_0_14]) ).
cnf(c_0_113,negated_conjecture,
meet(a,join(meet(x2,z2),meet(x2,y2))) = meet(a,meet(x2,join(y2,meet(a,z2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_105]),c_0_24]) ).
cnf(c_0_114,negated_conjecture,
join(meet(x2,y2),meet(x2,join(y2,meet(a,z2)))) = meet(x2,join(y2,meet(a,z2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_99]),c_0_27]),c_0_78]) ).
cnf(c_0_115,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_116,negated_conjecture,
meet(join(x2,z2),join(z2,join(x2,meet(a,y2)))) = join(x2,z2),
inference(spm,[status(thm)],[c_0_36,c_0_108]) ).
cnf(c_0_117,negated_conjecture,
meet(a,meet(y2,join(x2,z2))) = meet(a,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_55]),c_0_21]) ).
cnf(c_0_118,negated_conjecture,
join(meet(X1,y2),meet(X1,meet(x2,y2))) = meet(X1,y2),
inference(spm,[status(thm)],[c_0_70,c_0_109]) ).
cnf(c_0_119,negated_conjecture,
join(meet(a,z2),meet(a,y2)) = meet(a,join(z2,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_102]),c_0_111]),c_0_24]),c_0_13]),c_0_102]) ).
cnf(c_0_120,negated_conjecture,
join(meet(x2,y2),meet(a,meet(x2,join(y2,meet(a,z2))))) = meet(x2,join(y2,meet(a,z2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_105]) ).
cnf(c_0_121,negated_conjecture,
join(meet(a,meet(x2,y2)),meet(x2,join(y2,meet(a,z2)))) = meet(x2,join(y2,meet(a,z2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_114]),c_0_18]),c_0_24]) ).
cnf(c_0_122,negated_conjecture,
join(z2,join(x2,meet(a,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_115,c_0_55]),c_0_19]),c_0_24]),c_0_19]),c_0_24]),c_0_14]),c_0_116]) ).
cnf(c_0_123,negated_conjecture,
join(z2,meet(a,meet(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_117]),c_0_14]),c_0_14]),c_0_46]),c_0_24]),c_0_47]),c_0_118]),c_0_24]) ).
cnf(c_0_124,negated_conjecture,
join(x2,meet(a,join(z2,y2))) = join(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(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_74,c_0_117]),c_0_14]),c_0_14]),c_0_46]),c_0_24]),c_0_81]),c_0_46]),c_0_24]),c_0_47]),c_0_119]),c_0_24]),c_0_81]) ).
cnf(c_0_125,negated_conjecture,
meet(a,meet(x2,join(y2,meet(a,z2)))) = meet(a,meet(x2,join(z2,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_94,c_0_120]),c_0_86]),c_0_121]),c_0_33]),c_0_21]),c_0_14]),c_0_103]),c_0_24]),c_0_60]),c_0_14]),c_0_86]),c_0_121]) ).
cnf(c_0_126,negated_conjecture,
meet(join(x2,z2),join(x2,meet(a,y2))) = join(x2,meet(a,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_122]),c_0_14]) ).
cnf(c_0_127,negated_conjecture,
meet(x2,join(z2,meet(x2,y2))) = meet(x2,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_98]),c_0_123]),c_0_34]) ).
cnf(c_0_128,negated_conjecture,
meet(a,meet(join(z2,y2),join(x2,meet(a,z2)))) = meet(a,join(z2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_124]),c_0_21]) ).
cnf(c_0_129,plain,
join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_14]) ).
cnf(c_0_130,negated_conjecture,
join(meet(x2,y2),meet(a,meet(x2,join(z2,y2)))) = meet(x2,join(y2,meet(a,z2))),
inference(rw,[status(thm)],[c_0_120,c_0_125]) ).
cnf(c_0_131,plain,
join(meet(X1,join(X2,X3)),meet(X1,join(X3,meet(a,X2)))) = meet(X1,join(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_34]),c_0_34]),c_0_24]) ).
cnf(c_0_132,negated_conjecture,
join(x2,join(meet(a,y2),meet(join(x2,z2),join(y2,meet(a,x2))))) = meet(join(x2,z2),join(x2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_126]),c_0_19]) ).
cnf(c_0_133,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_14]),c_0_21]) ).
cnf(c_0_134,negated_conjecture,
meet(join(x2,meet(a,z2)),join(z2,meet(x2,y2))) = meet(join(z2,y2),join(x2,meet(a,z2))),
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_127]),c_0_110]),c_0_24]),c_0_14]),c_0_24]) ).
cnf(c_0_135,plain,
join(meet(a,X1),meet(join(X1,X2),X3)) = meet(join(meet(a,X1),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(spm,[status(thm)],[c_0_66,c_0_18]),c_0_19]),c_0_18]),c_0_47]),c_0_96]),c_0_24]) ).
cnf(c_0_136,negated_conjecture,
join(meet(a,z2),meet(a,meet(x2,join(z2,y2)))) = meet(a,join(z2,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_75,c_0_128]),c_0_14]),c_0_110]),c_0_24]),c_0_13]),c_0_24]),c_0_129]),c_0_14]),c_0_24]) ).
cnf(c_0_137,negated_conjecture,
join(z2,meet(a,join(z2,y2))) = join(z2,meet(a,y2)),
inference(spm,[status(thm)],[c_0_69,c_0_119]) ).
cnf(c_0_138,negated_conjecture,
join(z2,join(meet(x2,y2),meet(x2,join(z2,y2)))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_127]),c_0_19]) ).
cnf(c_0_139,negated_conjecture,
join(meet(x2,y2),meet(x2,join(z2,y2))) = meet(x2,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_130]),c_0_131]),c_0_24]),c_0_24]) ).
cnf(c_0_140,plain,
meet(X1,meet(join(X2,X3),join(meet(X2,X1),join(meet(X2,X3),meet(X3,meet(join(X2,X1),join(X2,meet(X1,join(X2,X3))))))))) = join(meet(X1,X2),meet(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_35]),c_0_21]),c_0_19]),c_0_21]),c_0_21]),c_0_21]),c_0_24]),c_0_14]),c_0_18]),c_0_60]),c_0_43]),c_0_43]) ).
cnf(c_0_141,negated_conjecture,
join(x2,meet(join(x2,z2),join(x2,y2))) = meet(join(x2,z2),join(x2,y2)),
inference(spm,[status(thm)],[c_0_78,c_0_132]) ).
cnf(c_0_142,plain,
meet(join(meet(a,meet(X1,X2)),meet(X3,X4)),join(meet(a,meet(X3,meet(X1,X4))),X2)) = join(meet(X2,meet(X3,X4)),meet(a,meet(X1,join(X2,meet(X3,X4))))),
inference(spm,[status(thm)],[c_0_66,c_0_133]) ).
cnf(c_0_143,negated_conjecture,
join(meet(a,meet(x2,z2)),meet(x2,join(z2,y2))) = meet(x2,join(z2,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_106,c_0_134]),c_0_45]),c_0_21]),c_0_27]),c_0_135]),c_0_22]),c_0_24]),c_0_14]),c_0_63]),c_0_60]),c_0_14]),c_0_127]) ).
cnf(c_0_144,negated_conjecture,
join(z2,meet(a,meet(x2,join(z2,y2)))) = join(z2,meet(a,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_136]),c_0_137]) ).
cnf(c_0_145,plain,
meet(X1,meet(join(X2,X3),join(X2,meet(a,X3)))) = meet(X1,join(X2,meet(a,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_34]),c_0_21]),c_0_60]),c_0_49]) ).
cnf(c_0_146,negated_conjecture,
join(z2,meet(x2,join(z2,y2))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_147,negated_conjecture,
meet(join(x2,z2),meet(join(x2,y2),join(x2,meet(y2,join(x2,z2))))) = 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_18]),c_0_78]),c_0_53]),c_0_43]),c_0_68]),c_0_14]),c_0_18]),c_0_14]) ).
cnf(c_0_148,negated_conjecture,
join(meet(x2,z2),meet(a,meet(x2,join(z2,y2)))) = meet(x2,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(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_53]),c_0_24]),c_0_144]),c_0_21]),c_0_145]),c_0_63]),c_0_14]),c_0_146]),c_0_127]) ).
cnf(c_0_149,plain,
meet(join(meet(a,meet(X1,X2)),X3),join(meet(X2,X3),meet(a,meet(X1,join(X2,X3))))) = join(meet(X2,X3),meet(a,meet(X1,join(X2,X3)))),
inference(spm,[status(thm)],[c_0_53,c_0_66]) ).
cnf(c_0_150,negated_conjecture,
meet(join(x2,z2),join(x2,meet(y2,join(x2,z2)))) = join(x2,meet(y2,join(x2,z2))),
inference(spm,[status(thm)],[c_0_53,c_0_147]) ).
cnf(c_0_151,negated_conjecture,
join(z2,meet(x2,join(z2,meet(a,y2)))) = join(z2,meet(a,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_148]),c_0_144]) ).
cnf(c_0_152,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_27,c_0_55]),c_0_14]) ).
cnf(c_0_153,negated_conjecture,
meet(join(z2,meet(a,y2)),join(meet(a,y2),meet(x2,z2))) = 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(spm,[status(thm)],[c_0_149,c_0_117]),c_0_14]),c_0_24]),c_0_123]),c_0_24]),c_0_24]) ).
cnf(c_0_154,negated_conjecture,
meet(y2,join(meet(a,join(x2,z2)),meet(x2,join(a,y2)))) = join(meet(a,y2),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_42,c_0_20]),c_0_14]),c_0_14]),c_0_24]),c_0_24]),c_0_24]) ).
cnf(c_0_155,negated_conjecture,
join(meet(x2,y2),meet(y2,join(x2,z2))) = 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_150]),c_0_92]),c_0_78]),c_0_27]),c_0_21]),c_0_14]),c_0_18]),c_0_14]),c_0_21]),c_0_48]) ).
cnf(c_0_156,negated_conjecture,
join(meet(x2,z2),meet(a,meet(x2,y2))) = meet(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(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_140,c_0_151]),c_0_14]),c_0_60]),c_0_14]),c_0_24]),c_0_152]),c_0_27]),c_0_24]),c_0_129]),c_0_24]),c_0_153]),c_0_60]),c_0_14]) ).
cnf(c_0_157,negated_conjecture,
join(y2,meet(X1,join(meet(a,y2),meet(x2,y2)))) = y2,
inference(spm,[status(thm)],[c_0_37,c_0_154]) ).
cnf(c_0_158,plain,
meet(join(meet(a,meet(X1,X2)),X3),join(meet(a,meet(X3,X1)),X2)) = join(meet(X2,X3),meet(a,meet(X1,join(X2,X3)))),
inference(spm,[status(thm)],[c_0_66,c_0_14]) ).
cnf(c_0_159,negated_conjecture,
join(meet(a,meet(x2,y2)),meet(y2,join(x2,z2))) = meet(y2,join(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_155]),c_0_18]),c_0_24]) ).
cnf(c_0_160,negated_conjecture,
meet(y2,join(x2,meet(y2,join(x2,z2)))) = meet(y2,join(x2,z2)),
inference(spm,[status(thm)],[c_0_89,c_0_150]) ).
cnf(c_0_161,negated_conjecture,
meet(a,meet(x2,join(meet(a,y2),meet(x2,z2)))) = meet(a,meet(x2,join(z2,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_156]),c_0_113]),c_0_125]) ).
cnf(c_0_162,plain,
join(meet(join(X1,meet(a,X2)),X3),meet(X3,join(X2,meet(a,X1)))) = meet(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_14]) ).
cnf(c_0_163,negated_conjecture,
meet(join(x2,meet(a,z2)),join(meet(a,z2),meet(x2,y2))) = join(meet(a,z2),meet(x2,y2)),
inference(spm,[status(thm)],[c_0_53,c_0_90]) ).
cnf(c_0_164,negated_conjecture,
join(y2,meet(join(meet(a,y2),meet(x2,y2)),X1)) = y2,
inference(spm,[status(thm)],[c_0_157,c_0_14]) ).
cnf(c_0_165,negated_conjecture,
join(meet(a,y2),meet(x2,y2)) = meet(y2,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(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_158,c_0_159]),c_0_53]),c_0_117]),c_0_24]),c_0_21]),c_0_14]),c_0_18]),c_0_14]),c_0_24]),c_0_160]),c_0_117]),c_0_24]),c_0_14]),c_0_21]),c_0_126]) ).
cnf(c_0_166,negated_conjecture,
join(meet(a,y2),meet(x2,join(z2,meet(a,y2)))) = join(meet(a,y2),meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_161]),c_0_19]),c_0_148]) ).
cnf(c_0_167,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(spm,[status(thm)],[c_0_162,c_0_163]),c_0_13]),c_0_14]) ).
cnf(c_0_168,negated_conjecture,
join(meet(a,y2),meet(X1,y2)) = meet(y2,join(meet(a,y2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_164]),c_0_14]) ).
cnf(c_0_169,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(spm,[status(thm)],[c_0_110,c_0_90]),c_0_46]),c_0_24]),c_0_47]),c_0_119]),c_0_124]),c_0_90]),c_0_47]),c_0_165]) ).
cnf(c_0_170,negated_conjecture,
meet(x2,join(meet(a,y2),meet(x2,z2))) = meet(x2,join(z2,meet(a,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_166]),c_0_21]),c_0_153]) ).
cnf(c_0_171,negated_conjecture,
upme(x2,y2,z2) != lome(x2,y2,z2),
conjecture_1 ).
cnf(c_0_172,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_167]),c_0_123]),c_0_152]),c_0_19]),c_0_47]),c_0_168]),c_0_24]),c_0_169]),c_0_69]) ).
cnf(c_0_173,negated_conjecture,
join(meet(x2,z2),meet(a,meet(x2,y2))) = meet(x2,join(z2,meet(a,y2))),
inference(rw,[status(thm)],[c_0_156,c_0_170]) ).
cnf(c_0_174,negated_conjecture,
join(meet(x2,y2),meet(x2,z2)) != meet(x2,join(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_16]),c_0_30]) ).
cnf(c_0_175,plain,
join(meet(X1,join(X2,meet(a,X3))),join(X4,meet(X1,join(X3,meet(a,X2))))) = join(X4,meet(X1,join(X3,X2))),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
cnf(c_0_176,negated_conjecture,
join(meet(x2,z2),meet(x2,join(y2,meet(a,z2)))) = join(meet(x2,z2),meet(x2,y2)),
inference(spm,[status(thm)],[c_0_44,c_0_105]) ).
cnf(c_0_177,negated_conjecture,
join(meet(x2,z2),meet(x2,join(z2,y2))) = meet(x2,join(z2,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_106,c_0_172]),c_0_45]),c_0_27]),c_0_78]),c_0_127]),c_0_127]) ).
cnf(c_0_178,negated_conjecture,
join(meet(x2,z2),meet(x2,join(z2,meet(a,y2)))) = meet(x2,join(z2,meet(a,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_152]),c_0_55]),c_0_27]),c_0_78]) ).
cnf(c_0_179,negated_conjecture,
join(meet(x2,y2),meet(x2,join(z2,meet(a,y2)))) = join(meet(x2,z2),meet(x2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_173]),c_0_24]) ).
cnf(c_0_180,negated_conjecture,
join(meet(x2,z2),meet(x2,y2)) != meet(x2,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_24]),c_0_24]) ).
cnf(c_0_181,negated_conjecture,
$false,
inference(sr,[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_24]),c_0_177]),c_0_46]),c_0_24]),c_0_178]),c_0_179]),c_0_180]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT400-3 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 07:16:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 89.17/89.72 % Version : CSE_E---1.5
% 89.17/89.72 % Problem : theBenchmark.p
% 89.17/89.72 % Proof found
% 89.17/89.72 % SZS status Theorem for theBenchmark.p
% 89.17/89.72 % SZS output start Proof
% See solution above
% 89.17/89.73 % Total time : 88.629000 s
% 89.17/89.73 % SZS output end Proof
% 89.17/89.73 % Total time : 88.635000 s
%------------------------------------------------------------------------------