TSTP Solution File: REL021+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : REL021+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 19:14:13 EDT 2023
% Result : Theorem 865.90s 110.68s
% Output : CNFRefutation 865.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 13
% Syntax : Number of formulae : 276 ( 273 unt; 0 def)
% Number of atoms : 279 ( 278 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 448 ( 47 sgn; 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',converse_multiplicativity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',converse_idempotence) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',composition_identity) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',converse_cancellativity) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',maddux1_join_commutativity) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',maddux2_join_associativity) ).
fof(def_top,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',def_top) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',maddux3_a_kind_of_de_Morgan) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',maddux4_definiton_of_meet) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',converse_additivity) ).
fof(goals,conjecture,
! [X1,X2] :
( composition(X1,top) = X1
=> join(composition(meet(X1,one),X2),meet(X1,X2)) = meet(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',goals) ).
fof(composition_associativity,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',composition_associativity) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p',composition_distributivity) ).
fof(c_0_13,plain,
! [X19,X20] : converse(composition(X19,X20)) = composition(converse(X20),converse(X19)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_14,plain,
! [X27] : converse(converse(X27)) = X27,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_15,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X23] : composition(X23,one) = X23,
inference(variable_rename,[status(thm)],[composition_identity]) ).
cnf(c_0_18,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,plain,
! [X21,X22] : join(composition(converse(X21),complement(composition(X21,X22))),complement(X22)) = complement(X22),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
fof(c_0_21,plain,
! [X8,X9] : join(X8,X9) = join(X9,X8),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_22,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]) ).
fof(c_0_23,plain,
! [X10,X11,X12] : join(X10,join(X11,X12)) = join(join(X10,X11),X12),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
fof(c_0_24,plain,
! [X24] : top = join(X24,complement(X24)),
inference(variable_rename,[status(thm)],[def_top]) ).
cnf(c_0_25,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_28,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_22,c_0_27]) ).
fof(c_0_32,plain,
! [X25,X26] : X25 = join(complement(join(complement(X25),complement(X26))),complement(join(complement(X25),X26))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
fof(c_0_33,plain,
! [X6,X7] : meet(X6,X7) = complement(join(complement(X6),complement(X7))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_34,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_36,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_27]),c_0_31]) ).
cnf(c_0_37,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_34,c_0_29]) ).
cnf(c_0_40,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_29]),c_0_26]) ).
cnf(c_0_41,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
meet(X1,complement(X1)) = complement(top),
inference(spm,[status(thm)],[c_0_38,c_0_29]) ).
cnf(c_0_44,plain,
join(meet(X1,top),complement(top)) = X1,
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_26]),c_0_38]) ).
cnf(c_0_46,plain,
join(complement(top),complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_43]) ).
cnf(c_0_47,plain,
complement(complement(X1)) = meet(X1,X1),
inference(spm,[status(thm)],[c_0_38,c_0_36]) ).
cnf(c_0_48,plain,
join(meet(top,X1),complement(top)) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
meet(top,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_38,c_0_46]) ).
cnf(c_0_50,plain,
join(complement(top),meet(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
join(complement(X1),complement(top)) = complement(X1),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_52,plain,
join(meet(X1,X1),complement(top)) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_50]) ).
cnf(c_0_53,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_52]) ).
cnf(c_0_54,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_47,c_0_53]) ).
cnf(c_0_55,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_36,c_0_54]) ).
cnf(c_0_56,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_28,c_0_55]) ).
cnf(c_0_57,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_38,c_0_54]) ).
cnf(c_0_58,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_28]) ).
cnf(c_0_59,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_41]),c_0_26]) ).
cnf(c_0_60,plain,
complement(join(complement(X1),X2)) = meet(complement(X2),X1),
inference(spm,[status(thm)],[c_0_57,c_0_26]) ).
fof(c_0_61,plain,
! [X28,X29] : converse(join(X28,X29)) = join(converse(X28),converse(X29)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_62,plain,
join(X1,join(X2,meet(X1,X3))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_60]) ).
cnf(c_0_64,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_65,plain,
join(meet(X1,X2),complement(X2)) = join(complement(X2),X1),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_64,c_0_16]) ).
cnf(c_0_67,plain,
meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_65]),c_0_60]),c_0_45]) ).
cnf(c_0_68,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_54,c_0_57]) ).
cnf(c_0_69,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_66,c_0_29]) ).
cnf(c_0_70,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_26,c_0_42]) ).
cnf(c_0_71,plain,
meet(top,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
cnf(c_0_72,plain,
meet(X1,join(X2,complement(X1))) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_54]) ).
cnf(c_0_73,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,plain,
meet(top,X1) = X1,
inference(spm,[status(thm)],[c_0_71,c_0_53]) ).
cnf(c_0_75,plain,
meet(X1,join(complement(X1),X2)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_72,c_0_26]) ).
cnf(c_0_76,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_69,c_0_73]) ).
cnf(c_0_77,plain,
meet(X1,top) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_74]) ).
cnf(c_0_78,plain,
meet(X1,join(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_59]),c_0_54]),c_0_68]),c_0_45]) ).
cnf(c_0_79,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_26,c_0_28]) ).
cnf(c_0_80,plain,
meet(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_45]) ).
cnf(c_0_81,plain,
join(complement(top),X1) = X1,
inference(rw,[status(thm)],[c_0_50,c_0_53]) ).
fof(c_0_82,negated_conjecture,
~ ! [X1,X2] :
( composition(X1,top) = X1
=> join(composition(meet(X1,one),X2),meet(X1,X2)) = meet(X1,X2) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_83,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_78,c_0_54]) ).
cnf(c_0_84,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_79,c_0_55]) ).
cnf(c_0_85,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_80]),c_0_54]),c_0_54]) ).
fof(c_0_86,plain,
! [X16,X17,X18] : composition(X16,composition(X17,X18)) = composition(composition(X16,X17),X18),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
fof(c_0_87,plain,
! [X13,X14,X15] : composition(join(X13,X14),X15) = join(composition(X13,X15),composition(X14,X15)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
cnf(c_0_88,plain,
composition(converse(X1),complement(composition(X1,top))) = complement(top),
inference(spm,[status(thm)],[c_0_30,c_0_81]) ).
fof(c_0_89,negated_conjecture,
( composition(esk1_0,top) = esk1_0
& join(composition(meet(esk1_0,one),esk2_0),meet(esk1_0,esk2_0)) != meet(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])]) ).
cnf(c_0_90,plain,
join(X1,complement(top)) = X1,
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_91,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_92,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_85]),c_0_16]),c_0_16]) ).
cnf(c_0_93,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_94,plain,
composition(top,converse(X1)) = converse(composition(X1,top)),
inference(spm,[status(thm)],[c_0_15,c_0_73]) ).
cnf(c_0_95,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_96,plain,
composition(top,complement(composition(top,top))) = complement(top),
inference(spm,[status(thm)],[c_0_88,c_0_73]) ).
cnf(c_0_97,negated_conjecture,
composition(esk1_0,top) = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_98,plain,
join(X1,converse(complement(top))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_90]),c_0_16]) ).
cnf(c_0_99,plain,
converse(complement(converse(complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_45]),c_0_80]) ).
cnf(c_0_100,plain,
composition(converse(composition(X1,top)),X2) = composition(top,composition(converse(X1),X2)),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,plain,
composition(X1,complement(composition(top,top))) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_81]),c_0_70]),c_0_96]) ).
cnf(c_0_102,negated_conjecture,
composition(converse(esk1_0),complement(esk1_0)) = complement(top),
inference(spm,[status(thm)],[c_0_88,c_0_97]) ).
cnf(c_0_103,plain,
converse(complement(top)) = complement(top),
inference(spm,[status(thm)],[c_0_81,c_0_98]) ).
cnf(c_0_104,plain,
complement(converse(complement(X1))) = converse(X1),
inference(spm,[status(thm)],[c_0_16,c_0_99]) ).
cnf(c_0_105,plain,
composition(top,complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_101]) ).
cnf(c_0_106,negated_conjecture,
composition(join(esk1_0,X1),top) = join(esk1_0,composition(X1,top)),
inference(spm,[status(thm)],[c_0_95,c_0_97]) ).
cnf(c_0_107,plain,
complement(composition(top,top)) = complement(top),
inference(spm,[status(thm)],[c_0_31,c_0_101]) ).
cnf(c_0_108,negated_conjecture,
composition(converse(complement(esk1_0)),esk1_0) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_102]),c_0_103]) ).
cnf(c_0_109,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_54,c_0_104]) ).
cnf(c_0_110,plain,
composition(X1,complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_105]),c_0_81]),c_0_70]),c_0_105]) ).
cnf(c_0_111,plain,
meet(complement(X1),complement(X2)) = complement(join(X1,X2)),
inference(spm,[status(thm)],[c_0_57,c_0_54]) ).
cnf(c_0_112,negated_conjecture,
join(esk1_0,composition(complement(esk1_0),top)) = composition(top,top),
inference(spm,[status(thm)],[c_0_106,c_0_29]) ).
cnf(c_0_113,plain,
composition(top,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_107]),c_0_90]) ).
cnf(c_0_114,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_59,c_0_45]) ).
cnf(c_0_115,negated_conjecture,
composition(complement(converse(esk1_0)),esk1_0) = complement(top),
inference(rw,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_116,plain,
composition(complement(top),X1) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_110]),c_0_103]),c_0_103]) ).
cnf(c_0_117,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_111]),c_0_54]),c_0_54]),c_0_26]) ).
cnf(c_0_118,negated_conjecture,
join(esk1_0,composition(complement(esk1_0),top)) = top,
inference(rw,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
join(complement(esk1_0),composition(complement(esk1_0),top)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_108]),c_0_16]),c_0_47]),c_0_53]) ).
cnf(c_0_120,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_28,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
composition(complement(converse(esk1_0)),composition(esk1_0,X1)) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_115]),c_0_116]) ).
cnf(c_0_122,negated_conjecture,
composition(complement(esk1_0),top) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_90]),c_0_26]),c_0_119]) ).
cnf(c_0_123,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(spm,[status(thm)],[c_0_68,c_0_54]) ).
cnf(c_0_124,plain,
complement(join(X1,join(X2,complement(X3)))) = meet(complement(join(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_57,c_0_28]) ).
cnf(c_0_125,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_120,c_0_63]) ).
cnf(c_0_126,negated_conjecture,
complement(meet(esk1_0,composition(esk1_0,X1))) = complement(composition(esk1_0,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_30,c_0_121]),c_0_109]),c_0_16]),c_0_47]),c_0_53]),c_0_122]),c_0_123]),c_0_45]) ).
cnf(c_0_127,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_64,c_0_16]) ).
cnf(c_0_128,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_31]),c_0_26]) ).
cnf(c_0_129,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_83,c_0_79]) ).
cnf(c_0_130,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_28,c_0_59]) ).
cnf(c_0_131,plain,
meet(meet(complement(X1),X2),X3) = meet(complement(X1),meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_123]),c_0_57]),c_0_57]) ).
cnf(c_0_132,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_125,c_0_111]) ).
cnf(c_0_133,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,X1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_126]),c_0_65]),c_0_26]) ).
cnf(c_0_134,plain,
complement(converse(join(complement(X1),X2))) = converse(meet(complement(X2),X1)),
inference(spm,[status(thm)],[c_0_109,c_0_60]) ).
cnf(c_0_135,plain,
converse(join(X1,complement(converse(X2)))) = join(converse(X1),complement(X2)),
inference(spm,[status(thm)],[c_0_127,c_0_109]) ).
cnf(c_0_136,plain,
join(X1,composition(top,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_128,c_0_70]) ).
cnf(c_0_137,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_138,plain,
meet(meet(X1,X2),join(X1,X3)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_139,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_131,c_0_54]) ).
cnf(c_0_140,negated_conjecture,
join(esk1_0,composition(esk1_0,X1)) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_90]),c_0_54]) ).
cnf(c_0_141,plain,
converse(meet(converse(X1),X2)) = meet(converse(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_109]),c_0_123]),c_0_54]),c_0_54]) ).
cnf(c_0_142,plain,
meet(X1,composition(top,X1)) = X1,
inference(spm,[status(thm)],[c_0_83,c_0_136]) ).
cnf(c_0_143,plain,
join(complement(X1),composition(converse(X2),composition(X3,complement(composition(converse(X3),composition(X2,X1)))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_18]),c_0_93]),c_0_93]) ).
cnf(c_0_144,plain,
join(composition(X1,X2),composition(X3,composition(X4,X2))) = composition(join(X1,composition(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_95,c_0_93]) ).
cnf(c_0_145,plain,
join(X1,composition(X1,top)) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_136]),c_0_94]),c_0_16]),c_0_94]),c_0_16]) ).
cnf(c_0_146,plain,
join(composition(X1,converse(X2)),converse(X3)) = converse(join(composition(X2,converse(X1)),X3)),
inference(spm,[status(thm)],[c_0_64,c_0_137]) ).
cnf(c_0_147,plain,
composition(join(X1,converse(X2)),converse(X3)) = converse(composition(X3,join(converse(X1),X2))),
inference(spm,[status(thm)],[c_0_15,c_0_66]) ).
cnf(c_0_148,plain,
composition(converse(complement(composition(X1,top))),X1) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_88]),c_0_103]) ).
cnf(c_0_149,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_150,plain,
join(complement(converse(X1)),converse(X2)) = converse(join(complement(X1),X2)),
inference(spm,[status(thm)],[c_0_64,c_0_109]) ).
cnf(c_0_151,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_95,c_0_31]) ).
cnf(c_0_152,plain,
composition(complement(converse(X1)),converse(X2)) = converse(composition(X2,complement(X1))),
inference(spm,[status(thm)],[c_0_15,c_0_109]) ).
cnf(c_0_153,plain,
meet(complement(X1),join(X1,X2)) = meet(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_75,c_0_54]) ).
cnf(c_0_154,negated_conjecture,
join(esk1_0,join(composition(esk1_0,X1),X2)) = join(esk1_0,X2),
inference(spm,[status(thm)],[c_0_28,c_0_140]) ).
cnf(c_0_155,plain,
meet(X1,composition(X1,top)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_16]),c_0_94]),c_0_16]),c_0_45]) ).
cnf(c_0_156,plain,
composition(join(X1,composition(X1,X2)),top) = composition(X1,top),
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_143,c_0_88]),c_0_54]),c_0_16]),c_0_110]),c_0_47]),c_0_53]),c_0_144]),c_0_54]) ).
cnf(c_0_157,plain,
join(X1,join(X2,composition(X1,top))) = join(X2,composition(X1,top)),
inference(spm,[status(thm)],[c_0_58,c_0_145]) ).
cnf(c_0_158,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_83,c_0_79]) ).
cnf(c_0_159,plain,
converse(join(composition(X1,converse(X2)),composition(X1,X3))) = converse(composition(X1,join(converse(X2),X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_15]),c_0_146]),c_0_147]) ).
cnf(c_0_160,plain,
composition(complement(converse(composition(X1,top))),X1) = complement(top),
inference(rw,[status(thm)],[c_0_148,c_0_109]) ).
cnf(c_0_161,plain,
meet(X1,meet(X2,composition(top,X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_149,c_0_136]) ).
cnf(c_0_162,plain,
join(complement(one),converse(X1)) = converse(join(complement(one),X1)),
inference(spm,[status(thm)],[c_0_150,c_0_27]) ).
cnf(c_0_163,plain,
join(X1,composition(meet(one,X2),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_59]),c_0_31]) ).
cnf(c_0_164,plain,
join(X1,composition(complement(one),X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_151,c_0_29]) ).
cnf(c_0_165,plain,
composition(complement(one),converse(X1)) = converse(composition(X1,complement(one))),
inference(spm,[status(thm)],[c_0_152,c_0_27]) ).
cnf(c_0_166,plain,
meet(join(X1,X2),complement(X1)) = meet(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_45,c_0_153]) ).
cnf(c_0_167,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_168,negated_conjecture,
join(esk1_0,composition(join(esk1_0,X1),X2)) = join(esk1_0,composition(X1,X2)),
inference(spm,[status(thm)],[c_0_154,c_0_95]) ).
cnf(c_0_169,plain,
join(X1,composition(complement(X1),top)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_155]),c_0_29]) ).
cnf(c_0_170,plain,
join(composition(X1,X2),composition(X1,top)) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_156]),c_0_28]),c_0_157]) ).
cnf(c_0_171,plain,
meet(meet(X1,X2),join(X3,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_158,c_0_114]) ).
cnf(c_0_172,plain,
join(composition(X1,converse(X2)),composition(X1,X3)) = composition(X1,join(converse(X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_159]),c_0_16]) ).
cnf(c_0_173,plain,
composition(join(complement(converse(composition(X1,top))),X2),X1) = composition(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_160]),c_0_81]) ).
cnf(c_0_174,plain,
join(X1,meet(X2,composition(top,complement(X1)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_161]),c_0_125]) ).
cnf(c_0_175,plain,
complement(meet(one,converse(X1))) = complement(converse(meet(one,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_109]),c_0_123]),c_0_123]),c_0_109]) ).
cnf(c_0_176,plain,
join(X1,join(X2,composition(meet(one,X3),X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_163]) ).
cnf(c_0_177,plain,
join(X1,composition(X1,complement(one))) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_164]),c_0_94]),c_0_16]),c_0_165]),c_0_16]) ).
cnf(c_0_178,plain,
join(meet(X1,X2),complement(X1)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_65,c_0_45]) ).
cnf(c_0_179,plain,
meet(one,composition(converse(X1),complement(X1))) = complement(top),
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_166,c_0_167]),c_0_54]),c_0_45]),c_0_43]),c_0_54]),c_0_45]) ).
cnf(c_0_180,plain,
meet(join(X1,X2),join(X2,complement(X1))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_117]),c_0_91]) ).
cnf(c_0_181,negated_conjecture,
join(esk1_0,composition(complement(esk1_0),X1)) = join(esk1_0,composition(top,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_122]) ).
cnf(c_0_182,negated_conjecture,
join(complement(esk1_0),composition(complement(esk1_0),X1)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_122]),c_0_26]) ).
cnf(c_0_183,plain,
meet(X1,join(X2,composition(X1,top))) = X1,
inference(spm,[status(thm)],[c_0_171,c_0_155]) ).
cnf(c_0_184,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_172,c_0_16]) ).
cnf(c_0_185,plain,
composition(meet(X1,converse(composition(X2,top))),X2) = composition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_173]),c_0_54]),c_0_94]),c_0_93]),c_0_113]) ).
cnf(c_0_186,plain,
meet(one,converse(X1)) = converse(meet(one,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_175]),c_0_54]) ).
cnf(c_0_187,plain,
join(complement(one),composition(meet(one,X1),top)) = join(complement(one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_188,plain,
join(X1,join(meet(complement(X1),X2),X3)) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_125]),c_0_28]) ).
cnf(c_0_189,plain,
meet(one,composition(X1,complement(converse(X1)))) = complement(top),
inference(spm,[status(thm)],[c_0_179,c_0_16]) ).
cnf(c_0_190,plain,
join(complement(X1),meet(complement(X2),X3)) = complement(meet(X1,join(complement(X3),X2))),
inference(spm,[status(thm)],[c_0_123,c_0_60]) ).
cnf(c_0_191,plain,
complement(meet(X1,complement(X2))) = join(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_68,c_0_45]) ).
cnf(c_0_192,negated_conjecture,
meet(composition(top,X1),complement(esk1_0)) = composition(complement(esk1_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_26]),c_0_182]),c_0_166]) ).
cnf(c_0_193,plain,
join(X1,join(converse(complement(converse(X1))),X2)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_76]),c_0_70]) ).
cnf(c_0_194,plain,
meet(X1,composition(join(X2,X1),top)) = X1,
inference(spm,[status(thm)],[c_0_183,c_0_95]) ).
cnf(c_0_195,plain,
meet(meet(X1,X2),join(X2,X3)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_129,c_0_120]) ).
cnf(c_0_196,plain,
meet(composition(X1,X2),composition(X1,join(X3,X2))) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_91,c_0_184]) ).
cnf(c_0_197,plain,
composition(converse(meet(one,composition(X1,top))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_31]) ).
cnf(c_0_198,plain,
meet(one,composition(meet(one,X1),top)) = meet(X1,one),
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_166,c_0_187]),c_0_54]),c_0_45]),c_0_75]),c_0_54]),c_0_45]) ).
cnf(c_0_199,plain,
meet(converse(meet(one,X1)),X2) = meet(one,meet(converse(X1),X2)),
inference(spm,[status(thm)],[c_0_139,c_0_186]) ).
cnf(c_0_200,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_114]),c_0_59]) ).
cnf(c_0_201,plain,
meet(X1,join(meet(X1,X2),X3)) = meet(join(X2,X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_188]),c_0_75]),c_0_54]),c_0_45]) ).
cnf(c_0_202,plain,
join(X1,join(X2,meet(X3,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_114]) ).
cnf(c_0_203,negated_conjecture,
composition(esk1_0,composition(top,X1)) = composition(esk1_0,X1),
inference(spm,[status(thm)],[c_0_93,c_0_97]) ).
cnf(c_0_204,plain,
meet(one,complement(composition(X1,complement(converse(X1))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_189]),c_0_190]),c_0_74]),c_0_60]),c_0_45]) ).
cnf(c_0_205,negated_conjecture,
complement(composition(complement(esk1_0),X1)) = join(esk1_0,complement(composition(top,X1))),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_206,plain,
composition(join(converse(composition(X1,top)),X2),X1) = composition(top,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_193]),c_0_109]),c_0_16]),c_0_54]) ).
cnf(c_0_207,plain,
composition(top,composition(top,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_93,c_0_113]) ).
cnf(c_0_208,plain,
meet(composition(X1,X2),composition(X1,top)) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_194,c_0_156]) ).
cnf(c_0_209,plain,
meet(join(X1,X2),meet(X3,X1)) = meet(X3,X1),
inference(spm,[status(thm)],[c_0_45,c_0_195]) ).
cnf(c_0_210,plain,
meet(composition(X1,X2),composition(X1,meet(X2,X3))) = composition(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_59]),c_0_45]) ).
cnf(c_0_211,plain,
composition(converse(meet(X1,one)),meet(one,X1)) = meet(one,X1),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_212,plain,
meet(converse(meet(X1,one)),X2) = meet(one,meet(converse(X1),X2)),
inference(spm,[status(thm)],[c_0_199,c_0_45]) ).
cnf(c_0_213,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_200]),c_0_45]) ).
cnf(c_0_214,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(join(X2,X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_84]),c_0_202]) ).
cnf(c_0_215,negated_conjecture,
meet(esk1_0,composition(complement(esk1_0),X1)) = complement(top),
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_166,c_0_182]),c_0_54]),c_0_45]),c_0_43]),c_0_54]),c_0_45]) ).
cnf(c_0_216,negated_conjecture,
composition(esk1_0,converse(composition(X1,top))) = composition(esk1_0,converse(X1)),
inference(spm,[status(thm)],[c_0_203,c_0_94]) ).
cnf(c_0_217,negated_conjecture,
meet(one,join(esk1_0,complement(converse(esk1_0)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_109]),c_0_54]),c_0_94]),c_0_97]) ).
cnf(c_0_218,plain,
join(complement(X1),join(X2,complement(X3))) = join(X2,complement(meet(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_60]),c_0_28]),c_0_131]),c_0_68]) ).
cnf(c_0_219,plain,
join(X1,composition(X1,converse(meet(one,X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_163]),c_0_16]),c_0_137]) ).
cnf(c_0_220,plain,
meet(composition(X1,X2),composition(X1,composition(X2,top))) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_155,c_0_93]) ).
cnf(c_0_221,plain,
composition(X1,converse(join(composition(top,X1),X2))) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_206]),c_0_94]),c_0_16]),c_0_18]),c_0_73]) ).
cnf(c_0_222,plain,
composition(converse(X1),top) = converse(composition(top,X1)),
inference(spm,[status(thm)],[c_0_18,c_0_73]) ).
cnf(c_0_223,plain,
composition(top,join(composition(top,X1),X2)) = composition(top,join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_207]),c_0_184]) ).
cnf(c_0_224,plain,
meet(composition(X1,top),composition(X1,X2)) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_208]) ).
cnf(c_0_225,plain,
meet(composition(top,X1),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_209,c_0_136]) ).
cnf(c_0_226,plain,
meet(one,meet(X1,converse(X1))) = meet(one,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_210,c_0_211]),c_0_19]),c_0_212]),c_0_213]),c_0_45]),c_0_139]) ).
cnf(c_0_227,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_59]),c_0_45]) ).
cnf(c_0_228,negated_conjecture,
meet(esk1_0,join(X1,composition(complement(esk1_0),X2))) = meet(esk1_0,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_90]),c_0_45]) ).
cnf(c_0_229,negated_conjecture,
join(composition(esk1_0,converse(X1)),composition(X2,converse(composition(X1,top)))) = composition(join(esk1_0,X2),converse(composition(X1,top))),
inference(spm,[status(thm)],[c_0_95,c_0_216]) ).
cnf(c_0_230,negated_conjecture,
meet(esk1_0,composition(esk1_0,X1)) = composition(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_126]),c_0_54]) ).
cnf(c_0_231,negated_conjecture,
join(esk1_0,complement(converse(meet(esk1_0,one)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_217]),c_0_29]),c_0_218]),c_0_186]),c_0_45]) ).
cnf(c_0_232,plain,
join(composition(X1,X2),join(X3,composition(X4,X2))) = join(X3,composition(join(X4,X1),X2)),
inference(spm,[status(thm)],[c_0_79,c_0_95]) ).
cnf(c_0_233,plain,
join(X1,composition(X1,meet(one,X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_186]),c_0_16]) ).
cnf(c_0_234,plain,
composition(X1,converse(composition(top,join(X1,X2)))) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]),c_0_223]),c_0_224]) ).
cnf(c_0_235,plain,
join(meet(X1,X2),composition(top,X2)) = composition(top,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_225]),c_0_125]) ).
cnf(c_0_236,plain,
converse(meet(one,X1)) = meet(one,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(spm,[status(thm)],[c_0_226,c_0_199]),c_0_16]),c_0_45]),c_0_139]),c_0_226]),c_0_227]),c_0_227]),c_0_186]),c_0_227]) ).
cnf(c_0_237,negated_conjecture,
meet(esk1_0,converse(composition(X1,top))) = composition(esk1_0,converse(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_228,c_0_229]),c_0_29]),c_0_94]),c_0_93]),c_0_113]),c_0_230]) ).
cnf(c_0_238,plain,
composition(converse(composition(top,X1)),X2) = composition(converse(X1),composition(top,X2)),
inference(spm,[status(thm)],[c_0_93,c_0_222]) ).
cnf(c_0_239,negated_conjecture,
composition(join(complement(converse(esk1_0)),X1),esk1_0) = composition(X1,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_115]),c_0_81]) ).
cnf(c_0_240,plain,
join(X1,meet(X2,complement(X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_54]),c_0_26]) ).
cnf(c_0_241,negated_conjecture,
join(esk1_0,converse(meet(esk1_0,one))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_231]),c_0_90]),c_0_54]) ).
cnf(c_0_242,plain,
join(X1,composition(join(X1,X2),meet(one,X3))) = join(composition(X2,meet(one,X3)),X1),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_243,plain,
composition(meet(X1,X2),converse(composition(top,X2))) = composition(meet(X1,X2),top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_207]) ).
cnf(c_0_244,plain,
meet(one,converse(X1)) = meet(one,X1),
inference(rw,[status(thm)],[c_0_186,c_0_236]) ).
cnf(c_0_245,plain,
composition(X1,converse(meet(one,composition(top,X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_197]),c_0_16]),c_0_222]),c_0_186]),c_0_16]) ).
cnf(c_0_246,plain,
meet(X1,meet(composition(top,X1),X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_139,c_0_142]) ).
cnf(c_0_247,negated_conjecture,
meet(esk1_0,composition(top,X1)) = composition(esk1_0,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_237,c_0_238]),c_0_18]),c_0_113]),c_0_73]),c_0_16]),c_0_203]) ).
cnf(c_0_248,negated_conjecture,
composition(meet(X1,converse(esk1_0)),esk1_0) = composition(X1,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_239]),c_0_54]) ).
cnf(c_0_249,plain,
meet(converse(X1),converse(X2)) = converse(meet(X2,X1)),
inference(spm,[status(thm)],[c_0_141,c_0_16]) ).
cnf(c_0_250,negated_conjecture,
join(meet(esk1_0,one),converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_241]),c_0_26]) ).
cnf(c_0_251,plain,
join(X1,composition(complement(X1),meet(one,X2))) = join(X1,composition(top,meet(one,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_29]),c_0_26]) ).
cnf(c_0_252,plain,
meet(X1,composition(X1,meet(one,X2))) = composition(X1,meet(one,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_233]),c_0_72]),c_0_45]) ).
cnf(c_0_253,plain,
composition(meet(one,X1),composition(X1,top)) = composition(meet(one,X1),top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_94]),c_0_16]) ).
cnf(c_0_254,plain,
composition(meet(one,X1),converse(X2)) = converse(composition(X2,meet(one,X1))),
inference(spm,[status(thm)],[c_0_15,c_0_236]) ).
cnf(c_0_255,plain,
composition(X1,meet(one,composition(top,X1))) = X1,
inference(rw,[status(thm)],[c_0_245,c_0_236]) ).
cnf(c_0_256,plain,
converse(composition(top,meet(one,X1))) = composition(meet(one,X1),top),
inference(spm,[status(thm)],[c_0_222,c_0_236]) ).
cnf(c_0_257,plain,
join(X1,meet(composition(top,complement(X1)),X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_246]),c_0_125]) ).
cnf(c_0_258,negated_conjecture,
meet(X1,composition(esk1_0,X1)) = meet(X1,esk1_0),
inference(spm,[status(thm)],[c_0_161,c_0_247]) ).
cnf(c_0_259,negated_conjecture,
composition(converse(meet(esk1_0,X1)),esk1_0) = composition(converse(X1),esk1_0),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_260,negated_conjecture,
meet(esk1_0,converse(meet(esk1_0,one))) = meet(esk1_0,one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_250]),c_0_139]),c_0_186]),c_0_45]) ).
cnf(c_0_261,plain,
converse(meet(X1,converse(X2))) = meet(converse(X1),X2),
inference(spm,[status(thm)],[c_0_141,c_0_45]) ).
cnf(c_0_262,plain,
meet(composition(top,meet(one,X1)),X2) = composition(X2,meet(one,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_251]),c_0_75]),c_0_54]),c_0_45]),c_0_252]) ).
cnf(c_0_263,plain,
composition(converse(X1),meet(one,X2)) = converse(composition(meet(one,X2),X1)),
inference(spm,[status(thm)],[c_0_18,c_0_236]) ).
cnf(c_0_264,plain,
converse(composition(top,X1)) = composition(meet(one,composition(top,X1)),top),
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_253,c_0_238]),c_0_244]),c_0_113]),c_0_222]),c_0_254]),c_0_93]),c_0_255]),c_0_244]) ).
cnf(c_0_265,plain,
meet(one,composition(top,meet(one,X1))) = meet(X1,one),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_256]),c_0_198]) ).
cnf(c_0_266,plain,
composition(meet(converse(composition(X1,top)),X2),X1) = composition(X2,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_173,c_0_257]),c_0_173]),c_0_54]),c_0_94]),c_0_93]),c_0_113]) ).
cnf(c_0_267,negated_conjecture,
meet(X1,meet(composition(esk1_0,X1),X2)) = meet(X1,meet(esk1_0,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_258]),c_0_139]) ).
cnf(c_0_268,negated_conjecture,
composition(meet(esk1_0,one),esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_259]),c_0_27]),c_0_31]),c_0_16]) ).
cnf(c_0_269,negated_conjecture,
join(composition(meet(esk1_0,one),esk2_0),meet(esk1_0,esk2_0)) != meet(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_270,plain,
meet(composition(meet(X1,one),top),X2) = composition(meet(one,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]),c_0_16]),c_0_264]),c_0_265]) ).
cnf(c_0_271,negated_conjecture,
composition(meet(composition(esk1_0,converse(X1)),X2),X1) = composition(meet(esk1_0,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_266]),c_0_216]) ).
cnf(c_0_272,negated_conjecture,
composition(meet(esk1_0,one),top) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_268]),c_0_26]),c_0_59]),c_0_97]) ).
cnf(c_0_273,negated_conjecture,
join(meet(esk1_0,esk2_0),composition(meet(esk1_0,one),esk2_0)) != meet(esk1_0,esk2_0),
inference(rw,[status(thm)],[c_0_269,c_0_26]) ).
cnf(c_0_274,negated_conjecture,
composition(meet(esk1_0,one),X1) = meet(esk1_0,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]),c_0_73]),c_0_97]),c_0_45]) ).
cnf(c_0_275,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_274]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL021+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 15:18:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.2f2BTHPQoM/E---3.1_12929.p
% 865.90/110.68 # Version: 3.1pre001
% 865.90/110.68 # Preprocessing class: FSMSSMSSSSSNFFN.
% 865.90/110.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 865.90/110.68 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 865.90/110.68 # Starting new_bool_3 with 300s (1) cores
% 865.90/110.68 # Starting new_bool_1 with 300s (1) cores
% 865.90/110.68 # Starting sh5l with 300s (1) cores
% 865.90/110.68 # new_bool_3 with pid 13051 completed with status 0
% 865.90/110.68 # Result found by new_bool_3
% 865.90/110.68 # Preprocessing class: FSMSSMSSSSSNFFN.
% 865.90/110.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 865.90/110.68 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 865.90/110.68 # Starting new_bool_3 with 300s (1) cores
% 865.90/110.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 865.90/110.68 # Search class: FUUPM-FFSF21-MFFFFFNN
% 865.90/110.68 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 865.90/110.68 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 865.90/110.68 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 13060 completed with status 0
% 865.90/110.68 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 865.90/110.68 # Preprocessing class: FSMSSMSSSSSNFFN.
% 865.90/110.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 865.90/110.68 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 865.90/110.68 # Starting new_bool_3 with 300s (1) cores
% 865.90/110.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 865.90/110.68 # Search class: FUUPM-FFSF21-MFFFFFNN
% 865.90/110.68 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 865.90/110.68 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 865.90/110.68 # Preprocessing time : 0.001 s
% 865.90/110.68 # Presaturation interreduction done
% 865.90/110.68
% 865.90/110.68 # Proof found!
% 865.90/110.68 # SZS status Theorem
% 865.90/110.68 # SZS output start CNFRefutation
% See solution above
% 865.90/110.68 # Parsed axioms : 14
% 865.90/110.68 # Removed by relevancy pruning/SinE : 1
% 865.90/110.68 # Initial clauses : 14
% 865.90/110.68 # Removed in clause preprocessing : 0
% 865.90/110.68 # Initial clauses in saturation : 14
% 865.90/110.68 # Processed clauses : 112149
% 865.90/110.68 # ...of these trivial : 63431
% 865.90/110.68 # ...subsumed : 43258
% 865.90/110.68 # ...remaining for further processing : 5460
% 865.90/110.68 # Other redundant clauses eliminated : 0
% 865.90/110.68 # Clauses deleted for lack of memory : 425901
% 865.90/110.68 # Backward-subsumed : 6
% 865.90/110.68 # Backward-rewritten : 1046
% 865.90/110.68 # Generated clauses : 6113445
% 865.90/110.68 # ...of the previous two non-redundant : 3971253
% 865.90/110.68 # ...aggressively subsumed : 0
% 865.90/110.68 # Contextual simplify-reflections : 0
% 865.90/110.68 # Paramodulations : 6113445
% 865.90/110.68 # Factorizations : 0
% 865.90/110.68 # NegExts : 0
% 865.90/110.68 # Equation resolutions : 0
% 865.90/110.68 # Total rewrite steps : 12814847
% 865.90/110.68 # Propositional unsat checks : 0
% 865.90/110.68 # Propositional check models : 0
% 865.90/110.68 # Propositional check unsatisfiable : 0
% 865.90/110.68 # Propositional clauses : 0
% 865.90/110.68 # Propositional clauses after purity: 0
% 865.90/110.68 # Propositional unsat core size : 0
% 865.90/110.68 # Propositional preprocessing time : 0.000
% 865.90/110.68 # Propositional encoding time : 0.000
% 865.90/110.68 # Propositional solver time : 0.000
% 865.90/110.68 # Success case prop preproc time : 0.000
% 865.90/110.68 # Success case prop encoding time : 0.000
% 865.90/110.68 # Success case prop solver time : 0.000
% 865.90/110.68 # Current number of processed clauses : 4394
% 865.90/110.68 # Positive orientable unit clauses : 4269
% 865.90/110.68 # Positive unorientable unit clauses: 125
% 865.90/110.68 # Negative unit clauses : 0
% 865.90/110.68 # Non-unit-clauses : 0
% 865.90/110.68 # Current number of unprocessed clauses: 1145488
% 865.90/110.68 # ...number of literals in the above : 1145488
% 865.90/110.68 # Current number of archived formulas : 0
% 865.90/110.68 # Current number of archived clauses : 1066
% 865.90/110.68 # Clause-clause subsumption calls (NU) : 0
% 865.90/110.68 # Rec. Clause-clause subsumption calls : 0
% 865.90/110.68 # Non-unit clause-clause subsumptions : 0
% 865.90/110.68 # Unit Clause-clause subsumption calls : 2948
% 865.90/110.68 # Rewrite failures with RHS unbound : 0
% 865.90/110.68 # BW rewrite match attempts : 57335
% 865.90/110.68 # BW rewrite match successes : 2052
% 865.90/110.68 # Condensation attempts : 0
% 865.90/110.68 # Condensation successes : 0
% 865.90/110.68 # Termbank termtop insertions : 103424530
% 865.90/110.68
% 865.90/110.68 # -------------------------------------------------
% 865.90/110.68 # User time : 106.385 s
% 865.90/110.68 # System time : 1.697 s
% 865.90/110.68 # Total time : 108.082 s
% 865.90/110.68 # Maximum resident set size: 1732 pages
% 865.90/110.68
% 865.90/110.68 # -------------------------------------------------
% 865.90/110.68 # User time : 106.388 s
% 865.90/110.68 # System time : 1.701 s
% 865.90/110.68 # Total time : 108.089 s
% 865.90/110.68 # Maximum resident set size: 1724 pages
% 865.90/110.68 % E---3.1 exiting
%------------------------------------------------------------------------------