TSTP Solution File: LAT400-2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT400-2 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 18:09:10 EDT 2023
% Result : Unsatisfiable 87.79s 11.72s
% Output : CNFRefutation 87.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 12
% Syntax : Number of clauses : 229 ( 229 unt; 0 nHn; 121 RR)
% Number of literals : 229 ( 228 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% 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 : 293 ( 41 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',absorption) ).
cnf(commutativity,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',commutativity) ).
cnf(conjecture,negated_conjecture,
upme(a,x2,y2) = upme(a,x2,z2),
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',conjecture) ).
cnf(definition_of_upme,axiom,
upme(X1,X2,X3) = meet(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',definition_of_upme) ).
cnf(absorption_003,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',absorption_003) ).
cnf(commutativity_001,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',commutativity_001) ).
cnf(associativity_002,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',associativity_002) ).
cnf(associativity,axiom,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',associativity) ).
cnf(rh2,axiom,
upme(X1,X2,X3) = join(upme(X1,X2,meet(a,X3)),upme(X1,X3,meet(a,X2))),
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',rh2) ).
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/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',rh1) ).
cnf(conjecture_1,negated_conjecture,
upme(x2,y2,z2) != lome(x2,y2,z2),
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',conjecture_1) ).
cnf(definition_of_lome,axiom,
lome(X1,X2,X3) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p',definition_of_lome) ).
cnf(c_0_12,axiom,
join(X1,meet(X1,X2)) = X1,
absorption ).
cnf(c_0_13,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity ).
cnf(c_0_14,negated_conjecture,
upme(a,x2,y2) = upme(a,x2,z2),
conjecture ).
cnf(c_0_15,axiom,
upme(X1,X2,X3) = meet(X1,join(X2,X3)),
definition_of_upme ).
cnf(c_0_16,axiom,
meet(X1,join(X1,X2)) = X1,
absorption_003 ).
cnf(c_0_17,axiom,
join(X1,X2) = join(X2,X1),
commutativity_001 ).
cnf(c_0_18,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
meet(a,join(x2,z2)) = meet(a,join(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15]) ).
cnf(c_0_20,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
associativity_002 ).
cnf(c_0_21,axiom,
meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3),
associativity ).
cnf(c_0_22,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
join(x2,join(y2,meet(a,join(x2,z2)))) = join(x2,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_24,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_19]),c_0_21]) ).
cnf(c_0_25,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_22,c_0_23]),c_0_13]) ).
cnf(c_0_26,plain,
join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_21]) ).
cnf(c_0_27,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_24,c_0_25]) ).
cnf(c_0_28,plain,
meet(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_29,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_30,axiom,
upme(X1,X2,X3) = join(upme(X1,X2,meet(a,X3)),upme(X1,X3,meet(a,X2))),
rh2 ).
cnf(c_0_31,negated_conjecture,
join(meet(a,join(x2,z2)),meet(a,join(y2,meet(a,join(x2,z2))))) = meet(a,join(x2,z2)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_28]) ).
cnf(c_0_33,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_12]),c_0_21]) ).
cnf(c_0_34,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_21]) ).
cnf(c_0_35,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_30,c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_36,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_22,c_0_31]),c_0_21]),c_0_13]),c_0_22]),c_0_32]) ).
cnf(c_0_37,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_38,negated_conjecture,
meet(a,meet(y2,join(x2,z2))) = meet(a,y2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_19]),c_0_34]),c_0_13]) ).
cnf(c_0_39,negated_conjecture,
join(meet(a,join(x2,z2)),meet(a,join(x2,join(z2,meet(a,y2))))) = meet(a,join(y2,join(x2,z2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_20]) ).
cnf(c_0_40,negated_conjecture,
join(x2,join(z2,meet(a,y2))) = join(x2,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_20]) ).
cnf(c_0_41,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_42,negated_conjecture,
meet(a,join(y2,join(x2,z2))) = meet(a,join(x2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_43,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_44,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_37,c_0_13]) ).
cnf(c_0_45,negated_conjecture,
meet(a,join(x2,join(z2,y2))) = meet(a,join(x2,z2)),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
join(x2,join(y2,meet(a,meet(join(x2,z2),X1)))) = join(x2,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_24]),c_0_20]) ).
cnf(c_0_47,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_34]),c_0_13]),c_0_13]) ).
cnf(c_0_48,negated_conjecture,
join(x2,join(y2,meet(a,join(z2,y2)))) = join(x2,y2),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,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_50,negated_conjecture,
meet(join(x2,y2),join(y2,meet(a,join(z2,y2)))) = join(y2,meet(a,join(z2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_48]),c_0_13]) ).
cnf(c_0_51,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_49,c_0_15]) ).
cnf(c_0_52,negated_conjecture,
join(x2,join(y2,meet(X1,meet(a,join(x2,z2))))) = join(x2,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_19]),c_0_20]) ).
cnf(c_0_53,plain,
join(meet(X1,meet(X2,join(X3,meet(a,X4)))),meet(X1,meet(X2,join(X4,meet(a,X3))))) = meet(X1,meet(X2,join(X3,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_54,negated_conjecture,
meet(a,meet(join(x2,z2),join(y2,meet(a,join(z2,y2))))) = meet(a,join(y2,meet(a,join(z2,y2)))),
inference(spm,[status(thm)],[c_0_24,c_0_50]) ).
cnf(c_0_55,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_12]),c_0_21]) ).
cnf(c_0_56,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_51,c_0_21]),c_0_21]),c_0_21]),c_0_17]) ).
cnf(c_0_57,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_58,negated_conjecture,
join(x2,join(y2,meet(a,z2))) = join(x2,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_13]) ).
cnf(c_0_59,negated_conjecture,
join(meet(a,join(z2,y2)),meet(a,join(y2,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(spm,[status(thm)],[c_0_53,c_0_54]),c_0_20]),c_0_18]),c_0_47]),c_0_20]),c_0_41]),c_0_47]) ).
cnf(c_0_60,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_55]),c_0_21]),c_0_21]) ).
cnf(c_0_61,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_12,c_0_56]),c_0_20]),c_0_57]) ).
cnf(c_0_62,negated_conjecture,
meet(a,meet(z2,join(x2,y2))) = meet(a,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_58]),c_0_21]) ).
cnf(c_0_63,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_20]) ).
cnf(c_0_64,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_65,negated_conjecture,
meet(a,meet(join(z2,y2),join(y2,meet(a,join(z2,y2))))) = meet(a,join(y2,meet(a,join(z2,y2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_59]),c_0_21]),c_0_60]),c_0_13]) ).
cnf(c_0_66,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_67,negated_conjecture,
join(y2,join(meet(a,z2),meet(a,meet(x2,z2)))) = join(y2,meet(a,meet(x2,z2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_13]),c_0_43]),c_0_17]),c_0_63]),c_0_13]),c_0_17]) ).
cnf(c_0_68,negated_conjecture,
join(z2,join(y2,meet(a,join(y2,meet(a,join(z2,y2)))))) = join(z2,y2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_59]),c_0_18]),c_0_20]) ).
cnf(c_0_69,negated_conjecture,
meet(a,join(y2,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(spm,[status(thm)],[c_0_64,c_0_65]),c_0_55]),c_0_13]),c_0_13]),c_0_22]) ).
cnf(c_0_70,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_56,c_0_16]),c_0_66]),c_0_17]),c_0_63]),c_0_13]) ).
cnf(c_0_71,plain,
join(X1,join(meet(X2,meet(X1,X3)),X4)) = join(X1,X4),
inference(spm,[status(thm)],[c_0_20,c_0_44]) ).
cnf(c_0_72,negated_conjecture,
meet(a,meet(z2,join(y2,meet(a,meet(x2,z2))))) = meet(a,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_21]) ).
cnf(c_0_73,plain,
meet(join(X1,X2),join(X1,meet(a,X2))) = join(X1,meet(a,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_28]),c_0_12]),c_0_13]) ).
cnf(c_0_74,negated_conjecture,
join(z2,join(y2,meet(a,join(z2,y2)))) = join(z2,y2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_76,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_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
meet(a,meet(z2,join(y2,meet(x2,z2)))) = meet(a,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_72]),c_0_26]) ).
cnf(c_0_78,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_79,plain,
meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_80,negated_conjecture,
meet(join(z2,y2),join(z2,meet(a,join(z2,y2)))) = join(z2,meet(a,join(z2,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_69]),c_0_69]) ).
cnf(c_0_81,plain,
join(meet(a,meet(X1,X2)),join(X3,meet(a,meet(X1,join(X3,X2))))) = join(meet(a,meet(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_56]),c_0_20]),c_0_75]) ).
cnf(c_0_82,negated_conjecture,
join(meet(a,y2),meet(a,join(z2,y2))) = meet(a,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_69]),c_0_17]),c_0_12]),c_0_69]) ).
cnf(c_0_83,plain,
join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_13]) ).
cnf(c_0_84,negated_conjecture,
join(meet(x2,z2),meet(a,meet(z2,y2))) = join(meet(a,z2),meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_77]),c_0_17]),c_0_43]),c_0_17]),c_0_26]),c_0_17]),c_0_17]) ).
cnf(c_0_85,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_78]),c_0_20]) ).
cnf(c_0_86,negated_conjecture,
meet(a,join(z2,meet(a,join(z2,y2)))) = meet(a,join(z2,y2)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
join(z2,meet(a,join(z2,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_81,c_0_47]),c_0_13]),c_0_38]),c_0_13]),c_0_38]),c_0_17]),c_0_63]),c_0_82]) ).
cnf(c_0_88,plain,
meet(join(meet(a,X1),X2),join(meet(a,X2),X1)) = join(meet(X1,X2),meet(a,join(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_32]),c_0_32]),c_0_32]) ).
cnf(c_0_89,negated_conjecture,
join(meet(a,z2),meet(a,join(y2,meet(x2,z2)))) = meet(a,join(y2,meet(x2,z2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_77]),c_0_17]) ).
cnf(c_0_90,negated_conjecture,
join(x2,meet(a,meet(z2,y2))) = join(x2,meet(a,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_84]),c_0_85]) ).
cnf(c_0_91,negated_conjecture,
meet(a,join(z2,meet(a,y2))) = meet(a,join(z2,y2)),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,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_35,c_0_56]),c_0_21]),c_0_20]),c_0_60]),c_0_32]),c_0_13]),c_0_60]),c_0_56]) ).
cnf(c_0_93,negated_conjecture,
meet(a,join(z2,meet(a,join(y2,meet(x2,z2))))) = meet(a,join(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(spm,[status(thm)],[c_0_88,c_0_89]),c_0_32]),c_0_16]),c_0_34]),c_0_77]),c_0_76]),c_0_17]),c_0_12]) ).
cnf(c_0_94,negated_conjecture,
join(y2,join(meet(a,z2),meet(x2,z2))) = join(y2,meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_77]),c_0_20]),c_0_17]) ).
cnf(c_0_95,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_16]),c_0_20]) ).
cnf(c_0_96,negated_conjecture,
join(x2,join(meet(a,z2),meet(a,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(spm,[status(thm)],[c_0_81,c_0_38]),c_0_13]),c_0_13]),c_0_17]),c_0_90]),c_0_43]),c_0_17]),c_0_90]),c_0_43]),c_0_17]),c_0_63]) ).
cnf(c_0_97,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_91]),c_0_32]),c_0_32]),c_0_82]),c_0_76]),c_0_17]),c_0_12]),c_0_32]) ).
cnf(c_0_98,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_35,c_0_28]),c_0_17]),c_0_12]),c_0_13]) ).
cnf(c_0_99,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_35,c_0_56]),c_0_21]),c_0_60]),c_0_32]),c_0_13]),c_0_43]),c_0_17]),c_0_63]),c_0_92]),c_0_60]),c_0_13]) ).
cnf(c_0_100,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_60,c_0_19]),c_0_60]) ).
cnf(c_0_101,negated_conjecture,
join(y2,meet(a,meet(x2,z2))) = join(y2,meet(a,z2)),
inference(rw,[status(thm)],[c_0_67,c_0_83]) ).
cnf(c_0_102,negated_conjecture,
join(z2,join(meet(a,y2),meet(a,meet(x2,y2)))) = join(z2,meet(a,meet(x2,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_38]),c_0_13]),c_0_43]),c_0_17]),c_0_63]),c_0_13]),c_0_17]) ).
cnf(c_0_103,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_56,c_0_22]),c_0_29]),c_0_17]),c_0_43]),c_0_71]) ).
cnf(c_0_104,negated_conjecture,
meet(a,join(y2,meet(x2,z2))) = 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(spm,[status(thm)],[c_0_35,c_0_93]),c_0_20]),c_0_17]),c_0_94]),c_0_41]),c_0_95]) ).
cnf(c_0_105,negated_conjecture,
join(x2,meet(a,join(z2,y2))) = join(x2,meet(a,z2)),
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
join(y2,join(meet(a,x2),meet(a,join(x2,z2)))) = join(y2,meet(a,x2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_19]),c_0_32]),c_0_32]),c_0_32]),c_0_17]),c_0_63]) ).
cnf(c_0_107,negated_conjecture,
meet(a,meet(join(x2,z2),join(y2,meet(a,x2)))) = meet(a,join(y2,meet(a,x2))),
inference(spm,[status(thm)],[c_0_24,c_0_98]) ).
cnf(c_0_108,negated_conjecture,
join(x2,join(z2,meet(a,join(y2,meet(a,join(x2,z2)))))) = join(x2,z2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_27]),c_0_20]) ).
cnf(c_0_109,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_90]),c_0_13]),c_0_17]),c_0_100]),c_0_22]),c_0_101]),c_0_17]) ).
cnf(c_0_110,negated_conjecture,
meet(a,meet(y2,join(z2,meet(a,meet(x2,y2))))) = meet(a,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_102]),c_0_21]) ).
cnf(c_0_111,plain,
meet(join(meet(a,meet(X1,X2)),X3),join(meet(a,meet(X2,X3)),X1)) = join(meet(X1,X3),meet(a,meet(X2,join(X1,X3)))),
inference(spm,[status(thm)],[c_0_56,c_0_13]) ).
cnf(c_0_112,negated_conjecture,
join(meet(a,meet(x2,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(spm,[status(thm)],[c_0_103,c_0_104]),c_0_17]),c_0_17]),c_0_12]),c_0_13]),c_0_104]) ).
cnf(c_0_113,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_55]),c_0_78]) ).
cnf(c_0_114,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_22,c_0_105]),c_0_21]) ).
cnf(c_0_115,negated_conjecture,
meet(a,join(y2,meet(a,x2))) = meet(a,join(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_106]),c_0_21]),c_0_107]) ).
cnf(c_0_116,negated_conjecture,
join(x2,join(z2,meet(a,join(x2,z2)))) = join(x2,z2),
inference(spm,[status(thm)],[c_0_108,c_0_36]) ).
cnf(c_0_117,plain,
join(meet(X1,join(X2,meet(a,X3))),meet(X1,join(meet(X3,a),meet(a,X2)))) = meet(X1,join(X2,meet(X3,a))),
inference(spm,[status(thm)],[c_0_35,c_0_55]) ).
cnf(c_0_118,plain,
meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_57]),c_0_13]) ).
cnf(c_0_119,plain,
join(meet(X1,a),meet(a,X2)) = meet(a,join(meet(a,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_55]),c_0_17]),c_0_12]),c_0_33]) ).
cnf(c_0_120,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_35,c_0_17]) ).
cnf(c_0_121,negated_conjecture,
join(y2,meet(a,join(z2,y2))) = join(y2,meet(a,z2)),
inference(spm,[status(thm)],[c_0_95,c_0_97]) ).
cnf(c_0_122,negated_conjecture,
meet(x2,join(meet(a,z2),meet(x2,y2))) = meet(x2,join(y2,meet(a,z2))),
inference(spm,[status(thm)],[c_0_78,c_0_109]) ).
cnf(c_0_123,negated_conjecture,
join(z2,meet(a,meet(x2,y2))) = join(z2,meet(a,y2)),
inference(rw,[status(thm)],[c_0_102,c_0_83]) ).
cnf(c_0_124,negated_conjecture,
meet(a,meet(y2,join(z2,meet(x2,y2)))) = meet(a,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_110]),c_0_26]) ).
cnf(c_0_125,plain,
join(X1,meet(X2,meet(X3,meet(X1,X4)))) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_21]) ).
cnf(c_0_126,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_13]),c_0_32]),c_0_17]),c_0_21]),c_0_114]),c_0_105]),c_0_79]),c_0_34]),c_0_17]) ).
cnf(c_0_127,negated_conjecture,
join(meet(a,x2),join(meet(a,y2),meet(a,join(x2,z2)))) = join(meet(a,x2),meet(a,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_115]),c_0_32]),c_0_32]),c_0_32]),c_0_17]),c_0_63]) ).
cnf(c_0_128,negated_conjecture,
join(meet(a,y2),meet(a,join(x2,z2))) = meet(a,join(x2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_38]),c_0_17]) ).
cnf(c_0_129,negated_conjecture,
meet(join(x2,z2),join(z2,meet(a,join(x2,z2)))) = join(z2,meet(a,join(x2,z2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_116]),c_0_13]) ).
cnf(c_0_130,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_131,plain,
meet(a,join(X1,meet(X2,a))) = meet(a,join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_12]),c_0_119]),c_0_120]),c_0_12]) ).
cnf(c_0_132,plain,
meet(X1,meet(join(X2,meet(a,X3)),join(X4,meet(X1,join(X3,X2))))) = meet(X1,join(X2,meet(a,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_35]),c_0_21]) ).
cnf(c_0_133,negated_conjecture,
meet(a,join(y2,meet(a,z2))) = meet(a,join(z2,y2)),
inference(rw,[status(thm)],[c_0_69,c_0_121]) ).
cnf(c_0_134,plain,
meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_135,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_120,c_0_122]),c_0_123]),c_0_35]) ).
cnf(c_0_136,negated_conjecture,
join(meet(a,y2),meet(a,join(z2,meet(x2,y2)))) = meet(a,join(z2,meet(x2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_124]),c_0_17]) ).
cnf(c_0_137,plain,
join(meet(a,meet(X1,X2)),meet(a,meet(X1,meet(X2,X3)))) = meet(X2,meet(a,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(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_56,c_0_12]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_55]),c_0_17]),c_0_125]),c_0_17]),c_0_60]),c_0_60]),c_0_17]),c_0_125]),c_0_64]) ).
cnf(c_0_138,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_56,c_0_55]),c_0_17]),c_0_12]),c_0_13]),c_0_113]) ).
cnf(c_0_139,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_57,c_0_126]),c_0_87]) ).
cnf(c_0_140,negated_conjecture,
join(meet(a,x2),meet(a,join(x2,z2))) = join(meet(a,x2),meet(a,y2)),
inference(rw,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_141,negated_conjecture,
meet(a,join(z2,meet(a,join(x2,z2)))) = meet(a,join(x2,z2)),
inference(spm,[status(thm)],[c_0_79,c_0_129]) ).
cnf(c_0_142,plain,
meet(X1,meet(join(X2,X3),meet(join(X2,meet(a,X3)),X1))) = meet(X1,join(X2,meet(a,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_35]),c_0_21]),c_0_130]) ).
cnf(c_0_143,plain,
meet(a,join(X1,meet(a,X2))) = meet(a,join(X1,X2)),
inference(spm,[status(thm)],[c_0_131,c_0_13]) ).
cnf(c_0_144,negated_conjecture,
join(meet(z2,y2),meet(a,meet(x2,join(z2,y2)))) = meet(join(z2,meet(a,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(spm,[status(thm)],[c_0_99,c_0_101]),c_0_17]),c_0_123]),c_0_13]),c_0_17]),c_0_13]) ).
cnf(c_0_145,negated_conjecture,
meet(a,meet(join(z2,meet(a,y2)),join(y2,meet(a,z2)))) = meet(a,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_87]),c_0_133]),c_0_13]) ).
cnf(c_0_146,plain,
meet(join(X1,X2),join(X2,join(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_17]),c_0_20]) ).
cnf(c_0_147,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_18,c_0_135]),c_0_20]) ).
cnf(c_0_148,negated_conjecture,
meet(a,join(y2,meet(a,join(z2,meet(x2,y2))))) = meet(a,join(z2,meet(x2,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_136]),c_0_32]),c_0_16]),c_0_34]),c_0_124]),c_0_76]),c_0_17]),c_0_12]) ).
cnf(c_0_149,negated_conjecture,
join(z2,join(meet(a,y2),meet(x2,y2))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_124]),c_0_20]),c_0_17]) ).
cnf(c_0_150,plain,
meet(a,join(meet(X1,X2),meet(a,meet(X1,meet(X2,X3))))) = meet(X2,meet(a,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138]),c_0_17]) ).
cnf(c_0_151,negated_conjecture,
meet(join(z2,meet(a,y2)),join(z2,meet(x2,join(z2,y2)))) = join(z2,meet(a,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_139]),c_0_13]) ).
cnf(c_0_152,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_20]) ).
cnf(c_0_153,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_32,c_0_56]) ).
cnf(c_0_154,negated_conjecture,
join(meet(a,x2),meet(a,y2)) = meet(a,join(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_76]),c_0_17]),c_0_12]) ).
cnf(c_0_155,negated_conjecture,
join(meet(a,z2),meet(a,join(x2,z2))) = meet(a,join(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_141]),c_0_17]),c_0_12]),c_0_141]) ).
cnf(c_0_156,plain,
meet(X1,meet(join(X2,X3),join(X2,meet(a,X3)))) = meet(X1,join(X2,meet(a,X3))),
inference(rw,[status(thm)],[c_0_142,c_0_64]) ).
cnf(c_0_157,negated_conjecture,
join(x2,join(meet(a,y2),meet(a,join(x2,z2)))) = join(x2,meet(a,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_127]),c_0_57]) ).
cnf(c_0_158,negated_conjecture,
meet(a,join(meet(z2,y2),meet(x2,join(z2,y2)))) = meet(a,join(z2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]) ).
cnf(c_0_159,plain,
join(meet(X1,X2),meet(a,X2)) = meet(X2,join(meet(a,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_28]),c_0_17]),c_0_44]),c_0_22]) ).
cnf(c_0_160,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_161,negated_conjecture,
meet(join(z2,meet(x2,y2)),join(z2,meet(x2,join(z2,y2)))) = join(z2,meet(x2,join(z2,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_17]),c_0_17]),c_0_13]) ).
cnf(c_0_162,negated_conjecture,
meet(a,join(z2,meet(x2,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(spm,[status(thm)],[c_0_35,c_0_148]),c_0_20]),c_0_17]),c_0_149]),c_0_41]),c_0_95]),c_0_17]) ).
cnf(c_0_163,negated_conjecture,
meet(a,meet(join(z2,y2),join(z2,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(spm,[status(thm)],[c_0_150,c_0_151]),c_0_44]),c_0_91]),c_0_91]),c_0_13]),c_0_21]) ).
cnf(c_0_164,plain,
join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_152]),c_0_20]),c_0_20]) ).
cnf(c_0_165,negated_conjecture,
join(meet(a,y2),join(meet(x2,z2),meet(a,join(z2,y2)))) = join(meet(a,y2),meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_104]),c_0_32]),c_0_32]),c_0_32]) ).
cnf(c_0_166,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_35,c_0_13]) ).
cnf(c_0_167,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_153,c_0_38]),c_0_13]),c_0_17]),c_0_123]),c_0_17]),c_0_17]) ).
cnf(c_0_168,negated_conjecture,
meet(a,join(x2,meet(a,z2))) = meet(a,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_96]),c_0_20]),c_0_17]),c_0_154]),c_0_155]),c_0_13]),c_0_21]),c_0_156]),c_0_20]),c_0_17]),c_0_154]),c_0_155]) ).
cnf(c_0_169,negated_conjecture,
join(x2,meet(a,join(x2,z2))) = join(x2,meet(a,y2)),
inference(rw,[status(thm)],[c_0_157,c_0_128]) ).
cnf(c_0_170,plain,
meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_85]),c_0_13]) ).
cnf(c_0_171,negated_conjecture,
join(meet(z2,y2),meet(join(z2,y2),join(x2,meet(a,z2)))) = join(meet(z2,y2),meet(x2,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_18,c_0_158]),c_0_20]),c_0_159]),c_0_17]),c_0_105]) ).
cnf(c_0_172,plain,
meet(X1,join(meet(X2,X1),meet(a,meet(X3,join(X2,X1))))) = meet(X1,join(meet(a,meet(X3,X1)),X2)),
inference(spm,[status(thm)],[c_0_160,c_0_56]) ).
cnf(c_0_173,negated_conjecture,
meet(a,join(z2,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(spm,[status(thm)],[c_0_150,c_0_161]),c_0_125]),c_0_162]),c_0_13]),c_0_21]),c_0_163]) ).
cnf(c_0_174,negated_conjecture,
join(meet(x2,z2),meet(a,join(z2,y2))) = 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(spm,[status(thm)],[c_0_164,c_0_165]),c_0_152]),c_0_17]),c_0_103]),c_0_17]),c_0_17]),c_0_12]),c_0_13]) ).
cnf(c_0_175,negated_conjecture,
meet(join(z2,y2),join(meet(a,y2),meet(x2,z2))) = join(meet(a,y2),meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_12]),c_0_13]) ).
cnf(c_0_176,negated_conjecture,
join(meet(a,meet(x2,y2)),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(spm,[status(thm)],[c_0_103,c_0_162]),c_0_17]),c_0_17]),c_0_12]),c_0_13]),c_0_162]) ).
cnf(c_0_177,negated_conjecture,
join(x2,meet(a,y2)) = join(x2,meet(a,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_168]),c_0_20]),c_0_155]),c_0_169]) ).
cnf(c_0_178,negated_conjecture,
meet(a,meet(y2,join(x2,meet(a,z2)))) = meet(a,y2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_96]),c_0_21]) ).
cnf(c_0_179,negated_conjecture,
meet(join(z2,y2),join(meet(z2,y2),meet(x2,join(z2,y2)))) = join(meet(z2,y2),meet(x2,join(z2,y2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_20]),c_0_18]) ).
cnf(c_0_180,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(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_172,c_0_173]),c_0_113]),c_0_13]),c_0_32]),c_0_174]),c_0_21]),c_0_175]),c_0_32]),c_0_17]),c_0_139]),c_0_21]),c_0_73]) ).
cnf(c_0_181,negated_conjecture,
join(meet(a,y2),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_176]),c_0_33]),c_0_13]),c_0_32]),c_0_17]),c_0_177]),c_0_21]),c_0_114]),c_0_34]),c_0_105]),c_0_178]),c_0_17]) ).
cnf(c_0_182,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_55]),c_0_21]),c_0_55]) ).
cnf(c_0_183,plain,
meet(join(X1,X2),meet(join(X2,X1),X3)) = meet(join(X1,X2),X3),
inference(spm,[status(thm)],[c_0_160,c_0_152]) ).
cnf(c_0_184,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_22,c_0_152]) ).
cnf(c_0_185,plain,
join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_113]),c_0_17]) ).
cnf(c_0_186,negated_conjecture,
meet(x2,join(meet(z2,y2),meet(x2,join(z2,y2)))) = meet(x2,join(z2,y2)),
inference(spm,[status(thm)],[c_0_79,c_0_179]) ).
cnf(c_0_187,negated_conjecture,
meet(x2,join(y2,meet(x2,z2))) = meet(x2,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_180]),c_0_101]),c_0_35]),c_0_17]) ).
cnf(c_0_188,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_18,c_0_33]),c_0_17]) ).
cnf(c_0_189,plain,
meet(a,join(meet(X1,a),X2)) = meet(a,join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_131]),c_0_55]),c_0_103]),c_0_17]),c_0_12]),c_0_13]),c_0_55]),c_0_17]),c_0_12]),c_0_13]) ).
cnf(c_0_190,plain,
join(meet(X1,X2),meet(X3,meet(X2,meet(X4,X1)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_37,c_0_130]) ).
cnf(c_0_191,negated_conjecture,
meet(a,meet(x2,meet(z2,join(y2,meet(a,z2))))) = meet(a,meet(x2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_101]),c_0_21]),c_0_21]) ).
cnf(c_0_192,negated_conjecture,
join(y2,meet(a,meet(x2,join(z2,y2)))) = join(y2,meet(a,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_181]),c_0_121]) ).
cnf(c_0_193,plain,
meet(join(meet(a,meet(X1,meet(X2,X3))),X4),join(meet(a,meet(X1,meet(X2,X4))),X3)) = join(meet(X3,X4),meet(a,meet(X1,meet(X2,join(X3,X4))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_194,plain,
meet(join(X1,X2),X3) = meet(X3,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_195,plain,
join(X1,meet(a,join(X2,X1))) = join(X1,meet(a,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_143]),c_0_20]),c_0_103]),c_0_17]),c_0_12]),c_0_13]) ).
cnf(c_0_196,negated_conjecture,
join(meet(x2,meet(z2,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_185,c_0_186]),c_0_21]),c_0_13]),c_0_34]) ).
cnf(c_0_197,negated_conjecture,
join(y2,join(meet(x2,z2),meet(x2,join(z2,y2)))) = join(y2,meet(x2,z2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_187]),c_0_20]) ).
cnf(c_0_198,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(spm,[status(thm)],[c_0_188,c_0_187]),c_0_21]),c_0_13]),c_0_32]) ).
cnf(c_0_199,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_41]) ).
cnf(c_0_200,plain,
meet(a,join(meet(a,X1),X2)) = meet(a,join(X1,X2)),
inference(spm,[status(thm)],[c_0_189,c_0_13]) ).
cnf(c_0_201,negated_conjecture,
join(meet(a,meet(x2,z2)),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_190,c_0_191]),c_0_13]),c_0_13]),c_0_17]) ).
cnf(c_0_202,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(spm,[status(thm)],[c_0_22,c_0_192]),c_0_21]),c_0_21]),c_0_98]) ).
cnf(c_0_203,plain,
meet(join(X1,meet(a,meet(X2,meet(X3,X4)))),join(meet(a,meet(X2,meet(X3,X1))),X4)) = join(meet(X1,X4),meet(a,meet(X2,meet(X3,join(X1,X4))))),
inference(rw,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_204,negated_conjecture,
join(meet(x2,join(z2,y2)),meet(a,meet(x2,meet(z2,y2)))) = meet(x2,join(z2,y2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_18]) ).
cnf(c_0_205,negated_conjecture,
join(y2,meet(x2,join(z2,y2))) = join(y2,meet(x2,z2)),
inference(rw,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_206,plain,
join(meet(X1,join(X2,X3)),meet(X1,join(X2,meet(a,X3)))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_35]),c_0_17]) ).
cnf(c_0_207,negated_conjecture,
meet(a,join(meet(x2,z2),meet(x2,join(y2,meet(a,z2))))) = meet(a,meet(x2,join(z2,y2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).
cnf(c_0_208,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)],[inference(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_203,c_0_204]),c_0_113]),c_0_13]),c_0_32]),c_0_17]),c_0_101]),c_0_21]),c_0_98]),c_0_21]),c_0_13]),c_0_22]),c_0_17]),c_0_205]),c_0_79]) ).
cnf(c_0_209,plain,
join(meet(a,X1),meet(a,X2)) = meet(a,join(X2,X1)),
inference(rw,[status(thm)],[c_0_138,c_0_200]) ).
cnf(c_0_210,plain,
join(X1,join(meet(X2,meet(X3,X1)),X4)) = join(X1,X4),
inference(spm,[status(thm)],[c_0_20,c_0_37]) ).
cnf(c_0_211,negated_conjecture,
meet(a,join(meet(x2,z2),meet(x2,join(z2,y2)))) = 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(spm,[status(thm)],[c_0_206,c_0_207]),c_0_202]),c_0_143]),c_0_103]),c_0_17]),c_0_12]),c_0_17]),c_0_13]) ).
cnf(c_0_212,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_188,c_0_135]),c_0_21]),c_0_13]),c_0_32]) ).
cnf(c_0_213,plain,
join(X1,meet(a,join(X1,X2))) = join(X1,meet(a,X2)),
inference(spm,[status(thm)],[c_0_195,c_0_17]) ).
cnf(c_0_214,negated_conjecture,
meet(a,join(meet(x2,z2),meet(x2,y2))) = 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(spm,[status(thm)],[c_0_195,c_0_208]),c_0_202]),c_0_138]),c_0_200]),c_0_17]),c_0_198]),c_0_209]),c_0_17]) ).
cnf(c_0_215,negated_conjecture,
upme(x2,y2,z2) != lome(x2,y2,z2),
conjecture_1 ).
cnf(c_0_216,axiom,
lome(X1,X2,X3) = join(meet(X1,X2),meet(X1,X3)),
definition_of_lome ).
cnf(c_0_217,plain,
meet(join(meet(a,meet(X1,X2)),X3),join(X2,meet(a,meet(X1,join(meet(a,meet(X1,X2)),X3))))) = join(meet(a,meet(X1,join(X2,X3))),meet(X2,join(meet(a,meet(X1,X2)),X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_199]),c_0_210]),c_0_17]),c_0_17]) ).
cnf(c_0_218,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(spm,[status(thm)],[c_0_195,c_0_211]),c_0_18]),c_0_17]) ).
cnf(c_0_219,negated_conjecture,
join(z2,meet(x2,join(z2,y2))) = join(z2,meet(x2,y2)),
inference(rw,[status(thm)],[c_0_147,c_0_212]) ).
cnf(c_0_220,negated_conjecture,
join(meet(x2,z2),meet(a,meet(x2,join(z2,y2)))) = join(meet(x2,z2),meet(a,meet(x2,y2))),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_221,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_43,c_0_35]) ).
cnf(c_0_222,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_95,c_0_208]) ).
cnf(c_0_223,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_188,c_0_180]),c_0_21]),c_0_13]),c_0_32]) ).
cnf(c_0_224,negated_conjecture,
join(meet(x2,y2),meet(x2,z2)) != meet(x2,join(y2,z2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_15]),c_0_216]) ).
cnf(c_0_225,negated_conjecture,
join(meet(x2,z2),meet(a,meet(x2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_32]),c_0_139]),c_0_21]),c_0_73]),c_0_113]),c_0_13]),c_0_219]),c_0_135]),c_0_17]),c_0_220]) ).
cnf(c_0_226,negated_conjecture,
join(meet(x2,y2),meet(x2,join(z2,meet(a,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_221,c_0_222]),c_0_17]),c_0_198]),c_0_43]),c_0_17]),c_0_223]) ).
cnf(c_0_227,negated_conjecture,
join(meet(x2,z2),meet(x2,y2)) != meet(x2,join(z2,y2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_17]),c_0_17]) ).
cnf(c_0_228,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_225]),c_0_226]),c_0_17]),c_0_227]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : LAT400-2 : TPTP v8.1.2. Released v8.1.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n026.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 10:53:29 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.lDtKmzkp37/E---3.1_20808.p
% 87.79/11.72 # Version: 3.1pre001
% 87.79/11.72 # Preprocessing class: FSMSSMSSSSSNFFN.
% 87.79/11.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.79/11.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 87.79/11.72 # Starting new_bool_3 with 300s (1) cores
% 87.79/11.72 # Starting new_bool_1 with 300s (1) cores
% 87.79/11.72 # Starting sh5l with 300s (1) cores
% 87.79/11.72 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20889 completed with status 0
% 87.79/11.72 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 87.79/11.72 # Preprocessing class: FSMSSMSSSSSNFFN.
% 87.79/11.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.79/11.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 87.79/11.72 # No SInE strategy applied
% 87.79/11.72 # Search class: FUUPM-FFSF22-MFFFFFNN
% 87.79/11.72 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 87.79/11.72 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 87.79/11.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 87.79/11.72 # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 87.79/11.72 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 87.79/11.72 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 87.79/11.72 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20897 completed with status 0
% 87.79/11.72 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 87.79/11.72 # Preprocessing class: FSMSSMSSSSSNFFN.
% 87.79/11.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 87.79/11.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 87.79/11.72 # No SInE strategy applied
% 87.79/11.72 # Search class: FUUPM-FFSF22-MFFFFFNN
% 87.79/11.72 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 87.79/11.72 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 87.79/11.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 87.79/11.72 # Preprocessing time : 0.001 s
% 87.79/11.72 # Presaturation interreduction done
% 87.79/11.72
% 87.79/11.72 # Proof found!
% 87.79/11.72 # SZS status Unsatisfiable
% 87.79/11.72 # SZS output start CNFRefutation
% See solution above
% 87.79/11.72 # Parsed axioms : 14
% 87.79/11.72 # Removed by relevancy pruning/SinE : 0
% 87.79/11.72 # Initial clauses : 14
% 87.79/11.72 # Removed in clause preprocessing : 4
% 87.79/11.72 # Initial clauses in saturation : 10
% 87.79/11.72 # Processed clauses : 10367
% 87.79/11.72 # ...of these trivial : 5852
% 87.79/11.72 # ...subsumed : 2980
% 87.79/11.72 # ...remaining for further processing : 1535
% 87.79/11.72 # Other redundant clauses eliminated : 0
% 87.79/11.72 # Clauses deleted for lack of memory : 0
% 87.79/11.72 # Backward-subsumed : 0
% 87.79/11.72 # Backward-rewritten : 457
% 87.79/11.72 # Generated clauses : 501245
% 87.79/11.72 # ...of the previous two non-redundant : 367118
% 87.79/11.72 # ...aggressively subsumed : 0
% 87.79/11.72 # Contextual simplify-reflections : 0
% 87.79/11.72 # Paramodulations : 501245
% 87.79/11.72 # Factorizations : 0
% 87.79/11.72 # NegExts : 0
% 87.79/11.72 # Equation resolutions : 0
% 87.79/11.72 # Total rewrite steps : 1291212
% 87.79/11.72 # Propositional unsat checks : 0
% 87.79/11.72 # Propositional check models : 0
% 87.79/11.72 # Propositional check unsatisfiable : 0
% 87.79/11.72 # Propositional clauses : 0
% 87.79/11.72 # Propositional clauses after purity: 0
% 87.79/11.72 # Propositional unsat core size : 0
% 87.79/11.72 # Propositional preprocessing time : 0.000
% 87.79/11.72 # Propositional encoding time : 0.000
% 87.79/11.72 # Propositional solver time : 0.000
% 87.79/11.72 # Success case prop preproc time : 0.000
% 87.79/11.72 # Success case prop encoding time : 0.000
% 87.79/11.72 # Success case prop solver time : 0.000
% 87.79/11.72 # Current number of processed clauses : 1068
% 87.79/11.72 # Positive orientable unit clauses : 1052
% 87.79/11.72 # Positive unorientable unit clauses: 15
% 87.79/11.72 # Negative unit clauses : 1
% 87.79/11.72 # Non-unit-clauses : 0
% 87.79/11.72 # Current number of unprocessed clauses: 355357
% 87.79/11.72 # ...number of literals in the above : 355357
% 87.79/11.72 # Current number of archived formulas : 0
% 87.79/11.72 # Current number of archived clauses : 471
% 87.79/11.72 # Clause-clause subsumption calls (NU) : 0
% 87.79/11.72 # Rec. Clause-clause subsumption calls : 0
% 87.79/11.72 # Non-unit clause-clause subsumptions : 0
% 87.79/11.72 # Unit Clause-clause subsumption calls : 1267
% 87.79/11.72 # Rewrite failures with RHS unbound : 0
% 87.79/11.72 # BW rewrite match attempts : 16596
% 87.79/11.72 # BW rewrite match successes : 1865
% 87.79/11.72 # Condensation attempts : 0
% 87.79/11.72 # Condensation successes : 0
% 87.79/11.72 # Termbank termtop insertions : 14499838
% 87.79/11.72
% 87.79/11.72 # -------------------------------------------------
% 87.79/11.72 # User time : 10.646 s
% 87.79/11.72 # System time : 0.367 s
% 87.79/11.72 # Total time : 11.013 s
% 87.79/11.72 # Maximum resident set size: 1612 pages
% 87.79/11.72
% 87.79/11.72 # -------------------------------------------------
% 87.79/11.72 # User time : 52.159 s
% 87.79/11.72 # System time : 1.755 s
% 87.79/11.72 # Total time : 53.914 s
% 87.79/11.72 # Maximum resident set size: 1724 pages
% 87.79/11.72 % E---3.1 exiting
% 87.79/11.72 % E---3.1 exiting
%------------------------------------------------------------------------------