TSTP Solution File: LAT399-2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT399-2 : 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 : n024.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 187.63s 187.63s
% Output : CNFRefutation 187.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of formulae : 115 ( 105 unt; 10 typ; 0 def)
% Number of atoms : 105 ( 104 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 6 >; 10 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 255 ( 28 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,
upjo: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
lojo: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
a: $i ).
tff(decl_29,type,
z1: $i ).
tff(decl_30,type,
z2: $i ).
tff(decl_31,type,
z3: $i ).
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(conjecture,negated_conjecture,
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',conjecture) ).
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(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(associativity_002,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_002) ).
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(meet(a,z1),z2,z3) != lome(meet(a,z1),z2,z3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
cnf(definition_of_lome,axiom,
lome(X1,X2,X3) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_lome) ).
cnf(c_0_10,axiom,
meet(X1,join(X1,X2)) = X1,
absorption_003 ).
cnf(c_0_11,axiom,
join(X1,X2) = join(X2,X1),
commutativity_001 ).
cnf(c_0_12,negated_conjecture,
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)),
conjecture ).
cnf(c_0_13,axiom,
upme(X1,X2,X3) = meet(X1,join(X2,X3)),
definition_of_upme ).
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,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
associativity_002 ).
cnf(c_0_18,negated_conjecture,
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_12,c_0_13]) ).
cnf(c_0_19,axiom,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
associativity ).
cnf(c_0_20,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
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_18,c_0_19]),c_0_19]),c_0_19]),c_0_11]) ).
cnf(c_0_23,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_20]),c_0_15]) ).
cnf(c_0_24,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_14]),c_0_19]) ).
cnf(c_0_25,negated_conjecture,
join(meet(X1,a),meet(a,X2)) = meet(a,join(meet(X2,a),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_11]),c_0_14]),c_0_24]) ).
cnf(c_0_26,negated_conjecture,
join(meet(a,X1),meet(X2,a)) = meet(a,join(meet(X1,a),X2)),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
join(meet(a,X1),meet(a,X2)) = meet(a,join(meet(X2,a),X1)),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_28,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_29,negated_conjecture,
meet(a,join(meet(X1,a),X2)) = meet(a,join(meet(X2,a),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_15]),c_0_27]) ).
cnf(c_0_30,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_15]) ).
cnf(c_0_31,plain,
meet(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_32,negated_conjecture,
meet(a,join(meet(X1,a),X2)) = meet(a,join(X1,meet(X2,a))),
inference(spm,[status(thm)],[c_0_29,c_0_11]) ).
cnf(c_0_33,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_34,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_35,plain,
join(X1,join(meet(X2,meet(X1,X3)),X4)) = join(X1,X4),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
join(meet(X1,a),meet(X2,a)) = meet(a,join(meet(X2,a),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_19]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
meet(a,join(meet(a,X1),X2)) = meet(a,join(X1,meet(X2,a))),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_38,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_39,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_40,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
cnf(c_0_41,negated_conjecture,
join(meet(a,X1),meet(X2,a)) = meet(a,join(X1,meet(X2,a))),
inference(rw,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_42,negated_conjecture,
join(meet(a,X1),meet(join(X2,X1),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_22,c_0_16]),c_0_17]),c_0_33]),c_0_11]),c_0_34]),c_0_35]) ).
cnf(c_0_43,negated_conjecture,
join(meet(X1,a),meet(X2,a)) = meet(a,join(X2,meet(X1,a))),
inference(rw,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
meet(a,join(meet(X1,meet(a,X2)),X3)) = meet(a,join(meet(X2,X1),meet(X3,a))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
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_22]),c_0_17]),c_0_39]) ).
cnf(c_0_46,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_15]) ).
cnf(c_0_47,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_40]),c_0_17]) ).
cnf(c_0_48,negated_conjecture,
meet(a,join(X1,meet(a,join(X2,X1)))) = meet(a,join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_11]),c_0_14]),c_0_15]) ).
cnf(c_0_49,negated_conjecture,
join(meet(X1,meet(X2,a)),meet(X3,a)) = meet(a,join(X3,meet(X1,meet(X2,a)))),
inference(spm,[status(thm)],[c_0_43,c_0_19]) ).
cnf(c_0_50,negated_conjecture,
meet(a,join(X1,meet(X2,a))) = meet(a,join(X2,X1)),
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_44,c_0_45]),c_0_46]),c_0_37]),c_0_46]),c_0_43]),c_0_17]),c_0_41]),c_0_17]),c_0_47]),c_0_48]),c_0_46]) ).
cnf(c_0_51,plain,
meet(X1,meet(X2,meet(X3,meet(X1,X2)))) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_52,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_53,negated_conjecture,
meet(a,join(X1,meet(X2,meet(X3,a)))) = meet(a,join(meet(X2,X3),meet(X1,a))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_49]) ).
cnf(c_0_54,negated_conjecture,
meet(a,join(meet(a,X1),X2)) = meet(a,join(X2,X1)),
inference(rw,[status(thm)],[c_0_37,c_0_50]) ).
cnf(c_0_55,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
join(meet(a,X1),meet(a,X2)) = meet(a,join(X2,meet(X1,a))),
inference(rw,[status(thm)],[c_0_27,c_0_32]) ).
cnf(c_0_57,negated_conjecture,
meet(a,join(X1,meet(X2,meet(X3,a)))) = meet(a,join(X1,meet(X2,X3))),
inference(rw,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_58,negated_conjecture,
meet(a,join(X1,meet(X2,meet(a,X3)))) = meet(a,join(X1,meet(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_44]),c_0_50]) ).
cnf(c_0_59,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_10]),c_0_17]) ).
cnf(c_0_60,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_61,negated_conjecture,
join(X1,meet(a,join(X2,meet(X1,a)))) = join(X1,meet(a,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_56]) ).
cnf(c_0_62,plain,
join(meet(X1,X2),meet(X2,meet(X3,X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_38]) ).
cnf(c_0_63,negated_conjecture,
meet(a,meet(join(X1,meet(X2,X3)),join(meet(X2,meet(a,X1)),X3))) = meet(a,join(meet(X1,X3),meet(join(X3,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(rw,[status(thm)],[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_56]),c_0_19]),c_0_57]),c_0_15]),c_0_19]),c_0_27]),c_0_19]),c_0_15]),c_0_37]),c_0_50]),c_0_11]),c_0_58]) ).
cnf(c_0_64,negated_conjecture,
join(meet(a,X1),meet(a,X2)) = meet(a,join(X1,X2)),
inference(rw,[status(thm)],[c_0_56,c_0_50]) ).
cnf(c_0_65,plain,
join(X1,join(X2,join(meet(X3,X1),X4))) = join(X1,join(X2,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_59]),c_0_17]),c_0_17]) ).
cnf(c_0_66,plain,
join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_60]),c_0_11]) ).
cnf(c_0_67,negated_conjecture,
join(X1,meet(a,join(X1,X2))) = join(X1,meet(a,X2)),
inference(rw,[status(thm)],[c_0_61,c_0_50]) ).
cnf(c_0_68,negated_conjecture,
meet(a,join(X1,meet(join(X1,X2),X3))) = meet(a,join(X1,meet(X2,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_62,c_0_63]),c_0_15]),c_0_44]),c_0_50]),c_0_64]),c_0_17]),c_0_65]),c_0_66]),c_0_15]),c_0_44]),c_0_50]) ).
cnf(c_0_69,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_11]),c_0_17]) ).
cnf(c_0_70,negated_conjecture,
join(X1,meet(a,meet(join(X1,X2),X3))) = join(X1,meet(a,meet(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_67]) ).
cnf(c_0_71,negated_conjecture,
upme(meet(a,z1),z2,z3) != lome(meet(a,z1),z2,z3),
conjecture_1 ).
cnf(c_0_72,axiom,
lome(X1,X2,X3) = join(meet(X1,X2),meet(X1,X3)),
definition_of_lome ).
cnf(c_0_73,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_19]) ).
cnf(c_0_74,plain,
meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_75,negated_conjecture,
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_22,c_0_10]),c_0_17]),c_0_10]),c_0_69]),c_0_35]),c_0_11]) ).
cnf(c_0_76,negated_conjecture,
join(X1,meet(X2,meet(a,join(X1,X3)))) = join(X1,meet(a,meet(X3,X2))),
inference(spm,[status(thm)],[c_0_70,c_0_38]) ).
cnf(c_0_77,negated_conjecture,
meet(a,join(X1,meet(X2,join(X1,X3)))) = meet(a,join(X1,meet(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_68]),c_0_58]) ).
cnf(c_0_78,negated_conjecture,
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_22,c_0_16]),c_0_21]),c_0_11]),c_0_34]),c_0_35]) ).
cnf(c_0_79,negated_conjecture,
join(meet(meet(a,z1),z2),meet(meet(a,z1),z3)) != meet(meet(a,z1),join(z2,z3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_13]),c_0_72]) ).
cnf(c_0_80,plain,
meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_10,c_0_17]) ).
cnf(c_0_81,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_11]) ).
cnf(c_0_82,plain,
meet(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) = meet(X2,meet(X1,X3)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
meet(a,meet(join(X1,X2),join(X1,X3))) = meet(a,join(X1,meet(X2,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_75,c_0_76]),c_0_56]),c_0_50]),c_0_77]),c_0_37]),c_0_50]),c_0_78]),c_0_11]),c_0_14]),c_0_15]),c_0_19]) ).
cnf(c_0_84,negated_conjecture,
join(meet(z2,meet(a,z1)),meet(z3,meet(a,z1))) != meet(meet(a,z1),join(z2,z3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_15]),c_0_15]) ).
cnf(c_0_85,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
meet(X1,meet(a,join(X2,meet(X3,X1)))) = meet(a,meet(X1,join(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_24]) ).
cnf(c_0_87,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_88,negated_conjecture,
join(meet(z2,meet(a,z1)),meet(z3,meet(a,z1))) != meet(a,meet(z1,join(z2,z3))),
inference(rw,[status(thm)],[c_0_84,c_0_19]) ).
cnf(c_0_89,plain,
meet(join(X1,X2),meet(X3,join(X2,X1))) = meet(X3,join(X2,X1)),
inference(spm,[status(thm)],[c_0_38,c_0_85]) ).
cnf(c_0_90,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_91,negated_conjecture,
meet(join(meet(a,meet(X1,X2)),X3),join(meet(a,meet(X2,X3)),meet(X1,X2))) = join(meet(X3,meet(X1,X2)),meet(a,meet(X2,join(X3,meet(X1,X2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_15]) ).
cnf(c_0_92,negated_conjecture,
meet(a,meet(X1,join(X2,meet(X3,X1)))) = meet(a,meet(X1,join(X2,X3))),
inference(spm,[status(thm)],[c_0_73,c_0_86]) ).
cnf(c_0_93,negated_conjecture,
meet(a,join(X1,meet(a,X2))) = meet(a,join(X2,meet(X1,a))),
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_78,c_0_37]),c_0_56]),c_0_17]),c_0_87]),c_0_11]),c_0_14]),c_0_15]) ).
cnf(c_0_94,negated_conjecture,
join(meet(a,meet(z1,z2)),meet(a,meet(z1,z3))) != meet(a,meet(z1,join(z2,z3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_38]),c_0_38]) ).
cnf(c_0_95,negated_conjecture,
meet(a,join(X1,meet(X2,join(X3,X1)))) = meet(a,join(X1,meet(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_89]),c_0_90]) ).
cnf(c_0_96,negated_conjecture,
meet(join(meet(a,meet(X1,X2)),X3),join(meet(a,meet(X2,X3)),meet(X1,X2))) = join(meet(X3,meet(X1,X2)),meet(a,meet(X2,join(X3,X1)))),
inference(rw,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
meet(a,join(X1,meet(a,X2))) = meet(a,join(X1,X2)),
inference(rw,[status(thm)],[c_0_93,c_0_50]) ).
cnf(c_0_98,plain,
join(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X2,join(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_24]),c_0_11]) ).
cnf(c_0_99,negated_conjecture,
meet(a,join(meet(z1,z2),meet(a,meet(z1,z3)))) != meet(a,meet(z1,join(z2,z3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_27]),c_0_19]),c_0_15]),c_0_73]),c_0_11]) ).
cnf(c_0_100,negated_conjecture,
meet(a,join(meet(X1,meet(a,X2)),X3)) = meet(a,join(X3,meet(X2,X1))),
inference(rw,[status(thm)],[c_0_44,c_0_50]) ).
cnf(c_0_101,negated_conjecture,
meet(a,join(meet(X1,X2),meet(X2,X3))) = meet(a,meet(X2,join(X3,X1))),
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_95,c_0_96]),c_0_39]),c_0_97]),c_0_98]),c_0_19]),c_0_19]),c_0_16]),c_0_97]) ).
cnf(c_0_102,negated_conjecture,
meet(a,join(meet(z1,z2),meet(z1,z3))) != meet(a,meet(z1,join(z2,z3))),
inference(rw,[status(thm)],[c_0_99,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
meet(a,join(meet(X1,X2),meet(X1,X3))) = meet(a,meet(X1,join(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_19]),c_0_46]),c_0_19]),c_0_54]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT399-2 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n024.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 06:48:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 187.63/187.63 % Version : CSE_E---1.5
% 187.63/187.63 % Problem : theBenchmark.p
% 187.63/187.63 % Proof found
% 187.63/187.63 % SZS status Theorem for theBenchmark.p
% 187.63/187.63 % SZS output start Proof
% See solution above
% 187.63/187.64 % Total time : 187.061000 s
% 187.63/187.64 % SZS output end Proof
% 187.63/187.64 % Total time : 187.072000 s
%------------------------------------------------------------------------------