TSTP Solution File: LAT015-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:07:22 EDT 2023
% Result : Unsatisfiable 53.53s 7.46s
% Output : CNFRefutation 53.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 2
% Syntax : Number of clauses : 104 ( 97 unt; 0 nHn; 9 RR)
% Number of literals : 135 ( 134 equ; 39 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 278 ( 68 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)),meet(X7,join(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
file('/export/starexec/sandbox2/tmp/tmp.7faN8VMakf/E---3.1_17986.p',single_axiom) ).
cnf(prove_normal_axioms,negated_conjecture,
( meet(a,a) != a
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,a) != a
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
file('/export/starexec/sandbox2/tmp/tmp.7faN8VMakf/E---3.1_17986.p',prove_normal_axioms) ).
cnf(c_0_2,axiom,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)),meet(X7,join(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
join(meet(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4),meet(join(meet(X1,join(join(meet(X5,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X6)),join(meet(X2,X3),meet(X3,join(X2,X3))))),meet(X3,join(X1,join(join(meet(X5,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X6)),join(meet(X2,X3),meet(X3,join(X2,X3))))))),join(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4))) = join(meet(X2,X3),meet(X3,join(X2,X3))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)),meet(join(meet(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)),meet(X10,join(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)))),join(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_6,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(X2,join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,plain,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_8,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_6]),c_0_6]),c_0_7]) ).
cnf(c_0_9,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_10,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_2]),c_0_2]),c_0_7]) ).
cnf(c_0_11,plain,
join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_11]) ).
cnf(c_0_13,plain,
meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
join(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_6]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_15,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_16,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_18,plain,
meet(X1,X1) = 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(spm,[status(thm)],[c_0_2,c_0_16]),c_0_12]),c_0_12]),c_0_11]),c_0_8]),c_0_12]),c_0_16]) ).
cnf(c_0_19,plain,
meet(join(X1,X2),X2) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_18]),c_0_16]) ).
cnf(c_0_21,plain,
join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_22,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_11]),c_0_13]),c_0_16]),c_0_13]),c_0_16]) ).
cnf(c_0_23,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_24,plain,
join(meet(X1,meet(X2,X1)),X1) = X1,
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_2,c_0_20]),c_0_12]),c_0_12]),c_0_10]),c_0_12]),c_0_18]) ).
cnf(c_0_25,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]),c_0_18]),c_0_16]) ).
cnf(c_0_26,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
meet(join(X1,join(X2,X3)),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_16]),c_0_25]) ).
cnf(c_0_28,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_29,plain,
join(meet(X1,X1),join(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_30,plain,
meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_2]),c_0_12]),c_0_12]) ).
cnf(c_0_31,plain,
join(X1,meet(X1,join(join(X1,X2),X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_28]),c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_32,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_2]),c_0_12]),c_0_12]) ).
cnf(c_0_33,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_29]) ).
cnf(c_0_34,plain,
meet(X1,meet(meet(X1,join(X2,X1)),X3)) = meet(meet(X1,join(X2,X1)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_14]),c_0_16]),c_0_16]) ).
cnf(c_0_35,plain,
join(meet(X1,X2),X2) = X2,
inference(rw,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_36,plain,
meet(X1,join(join(X1,X2),X1)) = 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_21,c_0_31]),c_0_32]),c_0_18]),c_0_33]),c_0_32]),c_0_33]),c_0_16]),c_0_32]) ).
cnf(c_0_37,plain,
meet(meet(X1,join(X2,X1)),meet(X1,X3)) = meet(X1,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_34,c_0_14]),c_0_16]),c_0_16]),c_0_33]),c_0_16]),c_0_33]) ).
cnf(c_0_38,plain,
join(X1,join(join(X1,X2),X1)) = join(join(X1,X2),X1),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
join(meet(X1,join(X1,join(X2,X1))),X1) = meet(X1,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_37]),c_0_33]) ).
cnf(c_0_40,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_7]),c_0_39]),c_0_7]) ).
cnf(c_0_41,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_42,plain,
join(meet(meet(X1,X2),X1),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_21]) ).
cnf(c_0_43,plain,
meet(join(X1,join(X2,X3)),X3) = X3,
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_44,plain,
join(meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),X3)) = meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_45,plain,
meet(join(X1,meet(join(X2,join(X3,X4)),join(X5,X3))),X3) = X3,
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_46,plain,
join(meet(X1,join(X2,join(X3,X1))),X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_30]),c_0_19]),c_0_46]) ).
cnf(c_0_48,plain,
join(meet(X1,X2),X1) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_42]) ).
cnf(c_0_49,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_48]),c_0_16]) ).
cnf(c_0_50,plain,
meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_14]),c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_51,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_49]) ).
cnf(c_0_52,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_47,c_0_22]) ).
cnf(c_0_54,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_49,c_0_28]) ).
cnf(c_0_55,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_52]),c_0_52]) ).
cnf(c_0_56,plain,
meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X2,X1),X3),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_57,plain,
join(join(meet(X1,join(X2,X3)),X2),join(X2,X3)) = join(X2,X3),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
meet(meet(X1,X2),meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_50,c_0_55]) ).
cnf(c_0_59,plain,
join(X1,meet(meet(X2,X1),X3)) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_56]) ).
cnf(c_0_60,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_28]) ).
cnf(c_0_61,plain,
join(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_57,c_0_40]) ).
cnf(c_0_62,plain,
meet(meet(X1,X2),meet(meet(X3,X2),X1)) = meet(meet(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_55]) ).
cnf(c_0_63,plain,
join(join(X1,X2),meet(X2,X3)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_30]) ).
cnf(c_0_64,plain,
join(X1,X2) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_61]) ).
cnf(c_0_65,plain,
join(meet(X1,X2),meet(meet(X3,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_62]) ).
cnf(c_0_66,plain,
meet(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_63]) ).
cnf(c_0_67,plain,
join(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_64]),c_0_64]) ).
cnf(c_0_68,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_49,c_0_27]) ).
cnf(c_0_69,plain,
join(meet(X1,X2),meet(meet(X2,X3),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_65,c_0_55]) ).
cnf(c_0_70,plain,
meet(meet(X1,X2),meet(join(X3,X1),X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_66,c_0_55]) ).
cnf(c_0_71,plain,
join(meet(meet(X1,X2),X3),meet(X3,X2)) = meet(X3,X2),
inference(spm,[status(thm)],[c_0_48,c_0_62]) ).
cnf(c_0_72,plain,
join(join(X1,X2),join(X1,join(X2,X3))) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_64]) ).
cnf(c_0_73,plain,
join(join(X1,X2),meet(X1,X3)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
cnf(c_0_74,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_55]) ).
cnf(c_0_75,plain,
meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_54,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( meet(a,a) != a
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,a) != a
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
prove_normal_axioms ).
cnf(c_0_77,plain,
meet(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_73]) ).
cnf(c_0_78,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_74,c_0_55]) ).
cnf(c_0_79,plain,
meet(join(X1,X2),join(join(X2,X3),X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_75,c_0_64]) ).
cnf(c_0_80,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a
| meet(a,a) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_16])]) ).
cnf(c_0_81,plain,
meet(meet(X1,X2),meet(join(X1,X3),X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_77,c_0_55]) ).
cnf(c_0_82,plain,
meet(meet(X1,X2),meet(X3,X1)) = meet(meet(X1,X2),X3),
inference(spm,[status(thm)],[c_0_78,c_0_51]) ).
cnf(c_0_83,plain,
meet(meet(X1,X2),meet(X3,X2)) = meet(meet(X1,X2),X3),
inference(spm,[status(thm)],[c_0_78,c_0_20]) ).
cnf(c_0_84,plain,
join(join(X1,X2),join(X3,X1)) = join(join(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_79]),c_0_72]) ).
cnf(c_0_85,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_18])]) ).
cnf(c_0_86,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_81]),c_0_71]),c_0_55]) ).
cnf(c_0_87,plain,
meet(meet(X1,X2),X3) = meet(meet(X3,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_82]),c_0_83]) ).
cnf(c_0_88,plain,
meet(join(X1,X2),meet(X3,X2)) = meet(X3,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_14]),c_0_16]),c_0_16]) ).
cnf(c_0_89,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_10]),c_0_47]) ).
cnf(c_0_90,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_51])]),c_0_54])]) ).
cnf(c_0_91,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_86,c_0_55]) ).
cnf(c_0_92,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X3,X2)),
inference(spm,[status(thm)],[c_0_55,c_0_87]) ).
cnf(c_0_93,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_88,c_0_20]) ).
cnf(c_0_94,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_89,c_0_64]) ).
cnf(c_0_95,plain,
join(join(X1,X2),join(X2,X3)) = join(join(X2,X3),X1),
inference(spm,[status(thm)],[c_0_64,c_0_84]) ).
cnf(c_0_96,negated_conjecture,
( meet(c,meet(a,b)) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_55]),c_0_55])]) ).
cnf(c_0_97,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(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(spm,[status(thm)],[c_0_91,c_0_2]),c_0_40]),c_0_35]),c_0_40]),c_0_35]),c_0_92]),c_0_92]),c_0_93]),c_0_92]) ).
cnf(c_0_98,plain,
join(join(X1,X2),X3) = join(join(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_40]),c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( join(join(a,b),c) != join(a,join(b,c))
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]) ).
cnf(c_0_100,plain,
join(join(X1,X2),X3) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_64,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
join(c,join(a,b)) != join(a,join(b,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_64]),c_0_64])]) ).
cnf(c_0_102,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_100]),c_0_100]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 10:18:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.7faN8VMakf/E---3.1_17986.p
% 53.53/7.46 # Version: 3.1pre001
% 53.53/7.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 53.53/7.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 53.53/7.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 53.53/7.46 # Starting new_bool_3 with 300s (1) cores
% 53.53/7.46 # Starting new_bool_1 with 300s (1) cores
% 53.53/7.46 # Starting sh5l with 300s (1) cores
% 53.53/7.46 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18064 completed with status 0
% 53.53/7.46 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 53.53/7.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 53.53/7.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 53.53/7.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 53.53/7.46 # No SInE strategy applied
% 53.53/7.46 # Search class: FUHPF-FFSF22-DFFFFFNN
% 53.53/7.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 53.53/7.46 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 811s (1) cores
% 53.53/7.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 53.53/7.46 # Starting new_bool_3 with 136s (1) cores
% 53.53/7.46 # Starting new_bool_1 with 136s (1) cores
% 53.53/7.46 # Starting sh5l with 136s (1) cores
% 53.53/7.46 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18071 completed with status 0
% 53.53/7.46 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 53.53/7.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 53.53/7.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 53.53/7.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 53.53/7.46 # No SInE strategy applied
% 53.53/7.46 # Search class: FUHPF-FFSF22-DFFFFFNN
% 53.53/7.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 53.53/7.46 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 811s (1) cores
% 53.53/7.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 53.53/7.46 # Preprocessing time : 0.001 s
% 53.53/7.46 # Presaturation interreduction done
% 53.53/7.46
% 53.53/7.46 # Proof found!
% 53.53/7.46 # SZS status Unsatisfiable
% 53.53/7.46 # SZS output start CNFRefutation
% See solution above
% 53.53/7.46 # Parsed axioms : 2
% 53.53/7.46 # Removed by relevancy pruning/SinE : 0
% 53.53/7.46 # Initial clauses : 2
% 53.53/7.46 # Removed in clause preprocessing : 0
% 53.53/7.46 # Initial clauses in saturation : 2
% 53.53/7.46 # Processed clauses : 8707
% 53.53/7.46 # ...of these trivial : 3953
% 53.53/7.46 # ...subsumed : 4173
% 53.53/7.46 # ...remaining for further processing : 581
% 53.53/7.46 # Other redundant clauses eliminated : 0
% 53.53/7.46 # Clauses deleted for lack of memory : 0
% 53.53/7.46 # Backward-subsumed : 0
% 53.53/7.46 # Backward-rewritten : 411
% 53.53/7.46 # Generated clauses : 244508
% 53.53/7.46 # ...of the previous two non-redundant : 117448
% 53.53/7.46 # ...aggressively subsumed : 0
% 53.53/7.46 # Contextual simplify-reflections : 0
% 53.53/7.46 # Paramodulations : 244508
% 53.53/7.46 # Factorizations : 0
% 53.53/7.46 # NegExts : 0
% 53.53/7.46 # Equation resolutions : 0
% 53.53/7.46 # Total rewrite steps : 764687
% 53.53/7.46 # Propositional unsat checks : 0
% 53.53/7.46 # Propositional check models : 0
% 53.53/7.46 # Propositional check unsatisfiable : 0
% 53.53/7.46 # Propositional clauses : 0
% 53.53/7.46 # Propositional clauses after purity: 0
% 53.53/7.46 # Propositional unsat core size : 0
% 53.53/7.46 # Propositional preprocessing time : 0.000
% 53.53/7.46 # Propositional encoding time : 0.000
% 53.53/7.46 # Propositional solver time : 0.000
% 53.53/7.46 # Success case prop preproc time : 0.000
% 53.53/7.46 # Success case prop encoding time : 0.000
% 53.53/7.46 # Success case prop solver time : 0.000
% 53.53/7.46 # Current number of processed clauses : 168
% 53.53/7.46 # Positive orientable unit clauses : 161
% 53.53/7.46 # Positive unorientable unit clauses: 7
% 53.53/7.46 # Negative unit clauses : 0
% 53.53/7.46 # Non-unit-clauses : 0
% 53.53/7.46 # Current number of unprocessed clauses: 91982
% 53.53/7.46 # ...number of literals in the above : 91982
% 53.53/7.46 # Current number of archived formulas : 0
% 53.53/7.46 # Current number of archived clauses : 413
% 53.53/7.46 # Clause-clause subsumption calls (NU) : 0
% 53.53/7.46 # Rec. Clause-clause subsumption calls : 0
% 53.53/7.46 # Non-unit clause-clause subsumptions : 0
% 53.53/7.46 # Unit Clause-clause subsumption calls : 592
% 53.53/7.46 # Rewrite failures with RHS unbound : 0
% 53.53/7.46 # BW rewrite match attempts : 5618
% 53.53/7.46 # BW rewrite match successes : 1742
% 53.53/7.46 # Condensation attempts : 0
% 53.53/7.46 # Condensation successes : 0
% 53.53/7.46 # Termbank termtop insertions : 45746889
% 53.53/7.46
% 53.53/7.46 # -------------------------------------------------
% 53.53/7.46 # User time : 6.790 s
% 53.53/7.46 # System time : 0.070 s
% 53.53/7.46 # Total time : 6.860 s
% 53.53/7.46 # Maximum resident set size: 1556 pages
% 53.53/7.46
% 53.53/7.46 # -------------------------------------------------
% 53.53/7.46 # User time : 33.501 s
% 53.53/7.46 # System time : 0.144 s
% 53.53/7.46 # Total time : 33.645 s
% 53.53/7.46 # Maximum resident set size: 1684 pages
% 53.53/7.46 % E---3.1 exiting
% 54.41/7.46 % E---3.1 exiting
%------------------------------------------------------------------------------