TSTP Solution File: LAT183-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT183-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:10:00 EDT 2023
% Result : Unsatisfiable 21.14s 3.29s
% Output : CNFRefutation 21.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 12
% Syntax : Number of clauses : 121 ( 110 unt; 0 nHn; 15 RR)
% Number of literals : 135 ( 134 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 251 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',absorption1) ).
cnf(complement_join,axiom,
join(X1,complement(X1)) = one,
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',complement_join) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',commutativity_of_meet) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',absorption2) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',associativity_of_join) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',commutativity_of_join) ).
cnf(equation_H7,axiom,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))))),
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',equation_H7) ).
cnf(meet_join_complement,axiom,
( complement(X1) = X2
| meet(X1,X2) != zero
| join(X1,X2) != one ),
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',meet_join_complement) ).
cnf(complement_meet,axiom,
meet(X1,complement(X1)) = zero,
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',complement_meet) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',associativity_of_meet) ).
cnf(idempotence_of_meet,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',idempotence_of_meet) ).
cnf(prove_distributivity,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p',prove_distributivity) ).
cnf(c_0_12,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_13,axiom,
join(X1,complement(X1)) = one,
complement_join ).
cnf(c_0_14,plain,
meet(X1,one) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_16,plain,
meet(one,X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_18,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_19,plain,
join(one,X1) = one,
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_20,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_21,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_22,axiom,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))))),
equation_H7 ).
cnf(c_0_23,plain,
join(X1,join(complement(X1),X2)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_19]) ).
cnf(c_0_24,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_12]),c_0_18]) ).
cnf(c_0_25,plain,
join(X1,one) = one,
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_26,plain,
meet(X1,join(complement(X1),join(X2,meet(X1,join(meet(X1,join(complement(X1),X2)),X3))))) = meet(X1,join(complement(X1),join(X2,meet(X1,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14]),c_0_18]),c_0_18]) ).
cnf(c_0_27,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_28,plain,
join(complement(X1),join(X2,X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_23]),c_0_25]),c_0_18]) ).
cnf(c_0_29,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_21]) ).
cnf(c_0_30,plain,
meet(X1,join(complement(X1),join(X2,meet(X1,complement(meet(X1,join(complement(X1),X2))))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_13]),c_0_14]),c_0_27]),c_0_23]),c_0_14]) ).
cnf(c_0_31,plain,
join(complement(X1),join(X2,join(X3,X1))) = one,
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_32,axiom,
( complement(X1) = X2
| meet(X1,X2) != zero
| join(X1,X2) != one ),
meet_join_complement ).
cnf(c_0_33,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_34,plain,
join(complement(X1),join(X2,meet(X1,complement(meet(X1,join(complement(X1),X2)))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_30]),c_0_18]),c_0_18]),c_0_31]) ).
cnf(c_0_35,plain,
( complement(X1) = X2
| meet(X2,X1) != zero
| join(X1,X2) != one ),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_36,axiom,
meet(X1,complement(X1)) = zero,
complement_meet ).
cnf(c_0_37,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_38,plain,
join(X1,join(complement(X2),meet(X2,complement(meet(X2,join(complement(X2),X1)))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_18]),c_0_16]),c_0_21]) ).
cnf(c_0_39,plain,
complement(complement(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_21]),c_0_13])]) ).
cnf(c_0_40,plain,
meet(X1,meet(X2,complement(meet(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_42,plain,
join(X1,join(X2,meet(complement(X2),complement(meet(complement(X2),join(X2,X1)))))) = one,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,axiom,
meet(X1,X1) = X1,
idempotence_of_meet ).
cnf(c_0_44,plain,
( meet(X1,complement(meet(X2,X1))) = complement(X2)
| join(X2,meet(X1,complement(meet(X2,X1)))) != one ),
inference(spm,[status(thm)],[c_0_32,c_0_40]) ).
cnf(c_0_45,plain,
join(X1,meet(complement(meet(X1,X2)),complement(meet(X1,complement(meet(X1,X2)))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_21]),c_0_17]),c_0_15]) ).
cnf(c_0_46,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_47,plain,
meet(complement(meet(X1,X2)),complement(meet(X1,complement(meet(X1,X2))))) = complement(X1),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_37]) ).
cnf(c_0_49,plain,
meet(complement(X1),complement(meet(X1,X2))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_15]) ).
cnf(c_0_50,plain,
meet(X1,meet(X2,join(meet(X2,X1),X3))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_48,c_0_15]) ).
cnf(c_0_51,plain,
join(X1,complement(meet(X2,X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_21]) ).
cnf(c_0_52,plain,
meet(complement(X1),complement(meet(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
join(X1,complement(meet(X2,meet(X3,X1)))) = one,
inference(spm,[status(thm)],[c_0_51,c_0_37]) ).
cnf(c_0_54,plain,
meet(X1,zero) = zero,
inference(spm,[status(thm)],[c_0_46,c_0_36]) ).
cnf(c_0_55,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_36]) ).
cnf(c_0_56,plain,
meet(complement(X1),complement(join(X1,X2))) = complement(join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_12]),c_0_15]) ).
cnf(c_0_57,plain,
join(X1,join(X2,complement(meet(X3,join(X2,X1))))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_33]),c_0_18]) ).
cnf(c_0_58,plain,
join(complement(X1),complement(meet(X1,X2))) = complement(meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_47]),c_0_21]) ).
cnf(c_0_59,plain,
meet(zero,X1) = zero,
inference(spm,[status(thm)],[c_0_54,c_0_15]) ).
cnf(c_0_60,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_61,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_37,c_0_29]) ).
cnf(c_0_62,plain,
meet(join(X1,X2),complement(meet(complement(X1),join(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_56]),c_0_39]),c_0_39]),c_0_39]) ).
cnf(c_0_63,plain,
join(X1,complement(meet(X2,join(complement(X2),X1)))) = one,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
meet(X1,meet(X2,complement(meet(X2,X1)))) = zero,
inference(spm,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_65,plain,
meet(X1,meet(complement(X1),X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_59]) ).
cnf(c_0_66,plain,
complement(zero) = one,
inference(spm,[status(thm)],[c_0_13,c_0_60]) ).
cnf(c_0_67,plain,
meet(X1,complement(meet(complement(X2),join(X2,X1)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,plain,
join(X1,complement(meet(complement(X2),join(X2,X1)))) = one,
inference(spm,[status(thm)],[c_0_63,c_0_39]) ).
cnf(c_0_69,plain,
meet(complement(X1),meet(X2,X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_14]),c_0_37]) ).
cnf(c_0_70,plain,
( meet(complement(X1),join(X1,X2)) = X2
| meet(X2,X1) != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_67]),c_0_39]),c_0_21]),c_0_68])]) ).
cnf(c_0_71,plain,
meet(X1,complement(join(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_12]),c_0_15]) ).
cnf(c_0_72,plain,
meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_39]),c_0_21]) ).
cnf(c_0_73,plain,
meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_72]) ).
cnf(c_0_74,plain,
join(X1,join(X2,complement(join(X2,X1)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_24]),c_0_21]),c_0_18]) ).
cnf(c_0_75,plain,
( join(X1,complement(join(X1,X2))) = complement(X2)
| meet(X2,X1) != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_73]),c_0_74])]) ).
cnf(c_0_76,plain,
meet(complement(X1),complement(join(X2,X1))) = complement(join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_29]),c_0_15]) ).
cnf(c_0_77,plain,
( join(X1,complement(join(X1,X2))) = complement(X2)
| meet(X1,X2) != zero ),
inference(spm,[status(thm)],[c_0_75,c_0_15]) ).
cnf(c_0_78,plain,
meet(join(X1,X2),complement(meet(complement(X2),join(X1,X2)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_76]),c_0_39]),c_0_39]),c_0_39]) ).
cnf(c_0_79,plain,
join(X1,complement(join(X1,complement(join(X1,X2))))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_71]),c_0_39]) ).
cnf(c_0_80,plain,
complement(join(X1,complement(join(X1,X2)))) = meet(complement(X1),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_78,c_0_79]),c_0_39]),c_0_15]),c_0_72]),c_0_15]) ).
cnf(c_0_81,plain,
join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2),
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_82,plain,
join(X1,meet(complement(X1),join(X2,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_81,c_0_21]) ).
cnf(c_0_83,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_84,plain,
join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_17]),c_0_15]) ).
cnf(c_0_85,plain,
( meet(X1,complement(meet(X1,X2))) = complement(X2)
| join(X2,meet(X1,complement(meet(X1,X2)))) != one ),
inference(spm,[status(thm)],[c_0_32,c_0_64]) ).
cnf(c_0_86,plain,
join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_87,plain,
( meet(X1,complement(meet(X1,X2))) = complement(X2)
| join(X2,X1) != one ),
inference(rw,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_88,plain,
complement(meet(complement(X1),join(X1,X2))) = join(X1,complement(join(X1,X2))),
inference(spm,[status(thm)],[c_0_39,c_0_80]) ).
cnf(c_0_89,plain,
join(complement(X1),complement(meet(X2,X1))) = complement(meet(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_52]),c_0_21]) ).
cnf(c_0_90,plain,
( meet(X1,complement(meet(X1,X2))) = complement(X2)
| join(X1,X2) != one ),
inference(spm,[status(thm)],[c_0_87,c_0_21]) ).
cnf(c_0_91,plain,
join(X1,meet(X2,complement(meet(X1,X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_86,c_0_15]) ).
cnf(c_0_92,plain,
complement(meet(X1,complement(meet(X2,X1)))) = join(complement(X1),meet(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_39]),c_0_39]) ).
cnf(c_0_93,plain,
( join(complement(X1),meet(X2,X1)) = X2
| join(X2,X1) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_40]),c_0_66]),c_0_14]),c_0_92]) ).
cnf(c_0_94,plain,
join(X1,join(X2,complement(join(X1,X2)))) = one,
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_95,plain,
complement(join(X1,complement(join(X2,X1)))) = meet(complement(X1),join(X2,X1)),
inference(spm,[status(thm)],[c_0_80,c_0_21]) ).
cnf(c_0_96,plain,
meet(X1,join(X2,complement(join(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_73,c_0_21]) ).
cnf(c_0_97,plain,
join(meet(X1,X2),meet(complement(X2),join(X1,X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]),c_0_21]) ).
cnf(c_0_98,plain,
meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_97]),c_0_37]),c_0_15]),c_0_12]) ).
cnf(c_0_99,plain,
join(X1,meet(complement(X1),X2)) = join(X2,X1),
inference(rw,[status(thm)],[c_0_82,c_0_98]) ).
cnf(c_0_100,plain,
join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_17,c_0_37]) ).
cnf(c_0_101,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_15]) ).
cnf(c_0_102,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_61]),c_0_21]) ).
cnf(c_0_103,plain,
join(complement(X1),meet(X1,X2)) = join(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_99,c_0_39]) ).
cnf(c_0_104,plain,
meet(complement(X1),meet(join(X2,X1),X3)) = meet(complement(X1),meet(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_98]),c_0_37]) ).
cnf(c_0_105,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_18]) ).
cnf(c_0_106,plain,
join(meet(X1,X2),meet(X2,X1)) = meet(X1,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_43]),c_0_37]),c_0_101]),c_0_37]),c_0_101]) ).
cnf(c_0_107,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_37,c_0_12]) ).
cnf(c_0_108,plain,
join(X1,meet(join(X2,X1),join(X3,X1))) = meet(join(X2,X1),join(X3,X1)),
inference(spm,[status(thm)],[c_0_102,c_0_29]) ).
cnf(c_0_109,plain,
join(X1,meet(join(X2,X1),X3)) = join(meet(X2,X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_39]),c_0_99]),c_0_39]),c_0_21]) ).
cnf(c_0_110,plain,
meet(X1,meet(X2,join(X3,meet(X2,X1)))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_37]) ).
cnf(c_0_111,plain,
meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_41]),c_0_15]) ).
cnf(c_0_112,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_107,c_0_15]) ).
cnf(c_0_113,plain,
join(X1,meet(X2,join(X3,X1))) = meet(join(X2,X1),join(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_21]) ).
cnf(c_0_114,plain,
meet(X1,join(X2,meet(X1,join(meet(X2,X1),meet(X3,join(X1,X2)))))) = meet(X1,join(X2,meet(X1,X3))),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_115,plain,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_109]),c_0_111]) ).
cnf(c_0_116,plain,
meet(join(X1,X2),join(X3,X2)) = join(meet(X3,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_101]),c_0_112]),c_0_113]) ).
cnf(c_0_117,plain,
meet(X1,join(X2,meet(X1,X3))) = 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_114,c_0_115]),c_0_113]),c_0_112]),c_0_113]),c_0_107]) ).
cnf(c_0_118,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
prove_distributivity ).
cnf(c_0_119,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_17]),c_0_15]),c_0_117]) ).
cnf(c_0_120,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT183-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : run_E %s %d THM
% 0.14/0.33 % Computer : n012.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 2400
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Oct 2 10:00:50 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.QiPQrCfd5B/E---3.1_6358.p
% 21.14/3.29 # Version: 3.1pre001
% 21.14/3.29 # Preprocessing class: FSSSSMSSSSSNFFN.
% 21.14/3.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.14/3.29 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 21.14/3.29 # Starting new_bool_3 with 300s (1) cores
% 21.14/3.29 # Starting new_bool_1 with 300s (1) cores
% 21.14/3.29 # Starting sh5l with 300s (1) cores
% 21.14/3.29 # sh5l with pid 6438 completed with status 0
% 21.14/3.29 # Result found by sh5l
% 21.14/3.29 # Preprocessing class: FSSSSMSSSSSNFFN.
% 21.14/3.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.14/3.29 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 21.14/3.29 # Starting new_bool_3 with 300s (1) cores
% 21.14/3.29 # Starting new_bool_1 with 300s (1) cores
% 21.14/3.29 # Starting sh5l with 300s (1) cores
% 21.14/3.29 # SinE strategy is gf500_gu_R04_F100_L20000
% 21.14/3.29 # Search class: FHUPM-FFSF21-DFFFFFNN
% 21.14/3.29 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 21.14/3.29 # Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 163s (1) cores
% 21.14/3.29 # E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with pid 6446 completed with status 0
% 21.14/3.29 # Result found by E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S
% 21.14/3.29 # Preprocessing class: FSSSSMSSSSSNFFN.
% 21.14/3.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.14/3.29 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 21.14/3.29 # Starting new_bool_3 with 300s (1) cores
% 21.14/3.29 # Starting new_bool_1 with 300s (1) cores
% 21.14/3.29 # Starting sh5l with 300s (1) cores
% 21.14/3.29 # SinE strategy is gf500_gu_R04_F100_L20000
% 21.14/3.29 # Search class: FHUPM-FFSF21-DFFFFFNN
% 21.14/3.29 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 21.14/3.29 # Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 163s (1) cores
% 21.14/3.29 # Preprocessing time : 0.001 s
% 21.14/3.29 # Presaturation interreduction done
% 21.14/3.29
% 21.14/3.29 # Proof found!
% 21.14/3.29 # SZS status Unsatisfiable
% 21.14/3.29 # SZS output start CNFRefutation
% See solution above
% 21.14/3.29 # Parsed axioms : 13
% 21.14/3.29 # Removed by relevancy pruning/SinE : 0
% 21.14/3.29 # Initial clauses : 13
% 21.14/3.29 # Removed in clause preprocessing : 0
% 21.14/3.29 # Initial clauses in saturation : 13
% 21.14/3.29 # Processed clauses : 8241
% 21.14/3.29 # ...of these trivial : 2676
% 21.14/3.29 # ...subsumed : 4825
% 21.14/3.29 # ...remaining for further processing : 740
% 21.14/3.29 # Other redundant clauses eliminated : 0
% 21.14/3.29 # Clauses deleted for lack of memory : 0
% 21.14/3.29 # Backward-subsumed : 0
% 21.14/3.29 # Backward-rewritten : 362
% 21.14/3.29 # Generated clauses : 235009
% 21.14/3.29 # ...of the previous two non-redundant : 132521
% 21.14/3.29 # ...aggressively subsumed : 0
% 21.14/3.29 # Contextual simplify-reflections : 0
% 21.14/3.29 # Paramodulations : 234953
% 21.14/3.29 # Factorizations : 0
% 21.14/3.29 # NegExts : 0
% 21.14/3.29 # Equation resolutions : 56
% 21.14/3.29 # Total rewrite steps : 588669
% 21.14/3.29 # Propositional unsat checks : 0
% 21.14/3.29 # Propositional check models : 0
% 21.14/3.29 # Propositional check unsatisfiable : 0
% 21.14/3.29 # Propositional clauses : 0
% 21.14/3.29 # Propositional clauses after purity: 0
% 21.14/3.29 # Propositional unsat core size : 0
% 21.14/3.29 # Propositional preprocessing time : 0.000
% 21.14/3.29 # Propositional encoding time : 0.000
% 21.14/3.29 # Propositional solver time : 0.000
% 21.14/3.29 # Success case prop preproc time : 0.000
% 21.14/3.29 # Success case prop encoding time : 0.000
% 21.14/3.29 # Success case prop solver time : 0.000
% 21.14/3.29 # Current number of processed clauses : 365
% 21.14/3.29 # Positive orientable unit clauses : 244
% 21.14/3.29 # Positive unorientable unit clauses: 10
% 21.14/3.29 # Negative unit clauses : 0
% 21.14/3.29 # Non-unit-clauses : 111
% 21.14/3.29 # Current number of unprocessed clauses: 123477
% 21.14/3.29 # ...number of literals in the above : 140886
% 21.14/3.29 # Current number of archived formulas : 0
% 21.14/3.29 # Current number of archived clauses : 375
% 21.14/3.29 # Clause-clause subsumption calls (NU) : 13775
% 21.14/3.29 # Rec. Clause-clause subsumption calls : 13599
% 21.14/3.29 # Non-unit clause-clause subsumptions : 2845
% 21.14/3.29 # Unit Clause-clause subsumption calls : 458
% 21.14/3.29 # Rewrite failures with RHS unbound : 0
% 21.14/3.29 # BW rewrite match attempts : 5190
% 21.14/3.29 # BW rewrite match successes : 1217
% 21.14/3.29 # Condensation attempts : 0
% 21.14/3.29 # Condensation successes : 0
% 21.14/3.29 # Termbank termtop insertions : 3571243
% 21.14/3.29
% 21.14/3.29 # -------------------------------------------------
% 21.14/3.29 # User time : 2.486 s
% 21.14/3.29 # System time : 0.089 s
% 21.14/3.29 # Total time : 2.575 s
% 21.14/3.29 # Maximum resident set size: 1672 pages
% 21.14/3.29
% 21.14/3.29 # -------------------------------------------------
% 21.14/3.29 # User time : 2.486 s
% 21.14/3.29 # System time : 0.092 s
% 21.14/3.29 # Total time : 2.578 s
% 21.14/3.29 # Maximum resident set size: 1728 pages
% 21.14/3.29 % E---3.1 exiting
%------------------------------------------------------------------------------