%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL033+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:19:48 EDT 2022
% Result : Theorem 1.06s 176.24s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(def_top,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
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/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(goals,conjecture,
! [X1,X2,X3] :
( composition(X1,top) = X1
=> composition(meet(X1,X2),X3) = meet(X1,composition(X2,X3)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(composition_associativity,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(c_0_12,plain,
! [X2] : top = join(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_top]) ).
fof(c_0_13,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
fof(c_0_14,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
fof(c_0_15,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_16,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
top = join(X1,join(X2,complement(join(X1,X2)))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
join(X1,join(complement(X1),complement(top))) = top,
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_23,plain,
join(complement(join(complement(X1),complement(X1))),complement(top)) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_24,plain,
join(complement(X1),join(X1,complement(X1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17]),c_0_19]) ).
fof(c_0_25,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_26,plain,
join(complement(X1),top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_24]),c_0_17]),c_0_22]) ).
cnf(c_0_27,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_28,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_29,plain,
join(top,complement(X1)) = top,
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_30,plain,
converse(top) = join(converse(X1),converse(complement(X1))),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_31,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_33,plain,
converse(top) = join(X1,converse(complement(converse(X1)))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_35,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,plain,
top = join(X1,converse(complement(converse(X1)))),
inference(rw,[status(thm)],[c_0_33,c_0_35]) ).
cnf(c_0_37,plain,
top = join(X1,join(converse(complement(converse(X1))),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_36]),c_0_34]) ).
cnf(c_0_38,plain,
join(X1,complement(X1)) = join(X2,complement(X2)),
inference(spm,[status(thm)],[c_0_16,c_0_16]) ).
fof(c_0_39,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
fof(c_0_40,negated_conjecture,
~ ! [X1,X2,X3] :
( composition(X1,top) = X1
=> composition(meet(X1,X2),X3) = meet(X1,composition(X2,X3)) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_41,plain,
top = join(X1,join(X2,complement(X2))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,negated_conjecture,
( composition(esk1_0,top) = esk1_0
& composition(meet(esk1_0,esk2_0),esk3_0) != meet(esk1_0,composition(esk2_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
cnf(c_0_44,plain,
top = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_41]),c_0_17]) ).
cnf(c_0_45,plain,
top = join(X1,join(X2,complement(join(X2,X1)))),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_46,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_47,negated_conjecture,
composition(esk1_0,top) = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_48,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
cnf(c_0_49,plain,
top = join(complement(X1),join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_21]),c_0_17]) ).
cnf(c_0_50,plain,
join(complement(X1),join(X1,complement(top))) = top,
inference(spm,[status(thm)],[c_0_45,c_0_16]) ).
cnf(c_0_51,negated_conjecture,
join(composition(converse(esk1_0),complement(esk1_0)),complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_19]) ).
cnf(c_0_52,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,plain,
join(complement(complement(top)),X1) = top,
inference(spm,[status(thm)],[c_0_49,c_0_23]) ).
cnf(c_0_54,negated_conjecture,
join(complement(composition(converse(esk1_0),complement(esk1_0))),complement(top)) = top,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
composition(converse(top),converse(esk1_0)) = converse(esk1_0),
inference(spm,[status(thm)],[c_0_52,c_0_47]) ).
cnf(c_0_56,plain,
complement(complement(top)) = top,
inference(spm,[status(thm)],[c_0_46,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
join(complement(top),complement(top)) = composition(converse(esk1_0),complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_54]),c_0_26]) ).
cnf(c_0_58,negated_conjecture,
join(complement(converse(esk1_0)),composition(top,complement(converse(esk1_0)))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_55]),c_0_31]) ).
cnf(c_0_59,plain,
complement(top) = composition(converse(esk1_0),complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_56]),c_0_34]),c_0_34]),c_0_57]) ).
cnf(c_0_60,negated_conjecture,
join(complement(converse(esk1_0)),complement(composition(top,complement(converse(esk1_0))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_58]),c_0_19]) ).
cnf(c_0_61,plain,
top = complement(composition(converse(esk1_0),complement(esk1_0))),
inference(rw,[status(thm)],[c_0_56,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
composition(esk1_0,join(complement(X1),join(X2,X1))) = esk1_0,
inference(spm,[status(thm)],[c_0_47,c_0_49]) ).
cnf(c_0_63,negated_conjecture,
join(complement(converse(esk1_0)),complement(composition(complement(composition(converse(esk1_0),complement(esk1_0))),complement(converse(esk1_0))))) = complement(composition(converse(esk1_0),complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_61]) ).
cnf(c_0_64,negated_conjecture,
join(complement(converse(esk1_0)),composition(complement(composition(converse(esk1_0),complement(esk1_0))),complement(converse(esk1_0)))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[c_0_58,c_0_61]) ).
cnf(c_0_65,plain,
complement(complement(composition(converse(esk1_0),complement(esk1_0)))) = composition(converse(esk1_0),complement(esk1_0)),
inference(rw,[status(thm)],[c_0_59,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
composition(esk1_0,join(complement(X1),join(X2,join(X3,X1)))) = esk1_0,
inference(spm,[status(thm)],[c_0_62,c_0_17]) ).
cnf(c_0_67,negated_conjecture,
join(complement(complement(converse(esk1_0))),composition(converse(esk1_0),complement(esk1_0))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_63]),c_0_64]),c_0_65]) ).
cnf(c_0_68,negated_conjecture,
composition(esk1_0,join(complement(X1),join(X2,join(X1,X3)))) = esk1_0,
inference(spm,[status(thm)],[c_0_66,c_0_19]) ).
cnf(c_0_69,negated_conjecture,
join(composition(converse(complement(esk1_0)),esk1_0),converse(complement(complement(converse(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_27,c_0_67]),c_0_31]),c_0_52]),c_0_31]),c_0_19]) ).
cnf(c_0_70,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_71,negated_conjecture,
composition(esk1_0,join(esk1_0,join(complement(composition(converse(complement(esk1_0)),esk1_0)),X1))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
fof(c_0_72,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
cnf(c_0_73,negated_conjecture,
composition(esk1_0,join(esk1_0,complement(composition(converse(complement(esk1_0)),esk1_0)))) = esk1_0,
inference(spm,[status(thm)],[c_0_71,c_0_46]) ).
cnf(c_0_74,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_75,negated_conjecture,
composition(top,converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[c_0_55,c_0_35]) ).
cnf(c_0_76,plain,
complement(composition(converse(esk1_0),complement(esk1_0))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[c_0_16,c_0_61]) ).
cnf(c_0_77,negated_conjecture,
composition(esk1_0,join(X1,join(esk1_0,complement(composition(converse(complement(esk1_0)),esk1_0))))) = esk1_0,
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_78,negated_conjecture,
join(composition(converse(esk1_0),converse(esk1_0)),composition(converse(complement(composition(converse(complement(esk1_0)),esk1_0))),converse(esk1_0))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_73]),c_0_27]),c_0_74]) ).
cnf(c_0_79,negated_conjecture,
composition(complement(composition(converse(esk1_0),complement(esk1_0))),converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[c_0_75,c_0_61]) ).
cnf(c_0_80,plain,
complement(join(X1,complement(X1))) = composition(converse(esk1_0),complement(esk1_0)),
inference(spm,[status(thm)],[c_0_65,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
join(converse(esk1_0),composition(converse(X1),converse(esk1_0))) = converse(esk1_0),
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_52,c_0_77]),c_0_27]),c_0_27]),c_0_74]),c_0_74]),c_0_78]),c_0_19]) ).
cnf(c_0_82,negated_conjecture,
composition(complement(complement(join(X1,complement(X1)))),converse(esk1_0)) = converse(esk1_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,negated_conjecture,
join(esk1_0,composition(esk1_0,X1)) = esk1_0,
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_27,c_0_81]),c_0_31]),c_0_31]),c_0_52]),c_0_31]),c_0_31]) ).
cnf(c_0_84,negated_conjecture,
composition(esk1_0,converse(complement(complement(join(X1,complement(X1)))))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_82]),c_0_31]),c_0_31]) ).
cnf(c_0_85,negated_conjecture,
join(esk1_0,esk1_0) = esk1_0,
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_86,plain,
join(X1,join(complement(top),complement(X1))) = top,
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_87,negated_conjecture,
join(esk1_0,join(esk1_0,X1)) = join(esk1_0,X1),
inference(spm,[status(thm)],[c_0_17,c_0_85]) ).
cnf(c_0_88,plain,
join(X1,join(composition(converse(esk1_0),complement(esk1_0)),complement(X1))) = complement(composition(converse(esk1_0),complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_59]),c_0_61]) ).
cnf(c_0_89,negated_conjecture,
join(esk1_0,join(composition(esk1_0,X1),X2)) = join(esk1_0,X2),
inference(spm,[status(thm)],[c_0_17,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
join(esk1_0,complement(composition(converse(esk1_0),complement(esk1_0)))) = complement(composition(converse(esk1_0),complement(esk1_0))),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_91,plain,
join(complement(composition(converse(esk1_0),complement(esk1_0))),X1) = complement(composition(converse(esk1_0),complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_61]),c_0_61]) ).
cnf(c_0_92,negated_conjecture,
complement(composition(converse(esk1_0),complement(esk1_0))) = join(esk1_0,complement(composition(esk1_0,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_76]),c_0_90]) ).
cnf(c_0_93,negated_conjecture,
join(esk1_0,join(complement(composition(esk1_0,X1)),X2)) = join(esk1_0,complement(composition(esk1_0,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_17]) ).
cnf(c_0_94,negated_conjecture,
join(X1,join(esk1_0,complement(composition(esk1_0,X2)))) = join(esk1_0,complement(composition(esk1_0,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_93]),c_0_17]),c_0_93]) ).
cnf(c_0_95,negated_conjecture,
join(X1,join(esk1_0,complement(esk1_0))) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_94,c_0_84]) ).
cnf(c_0_96,negated_conjecture,
join(X1,join(esk1_0,join(complement(esk1_0),X2))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_95]),c_0_17]),c_0_95]) ).
cnf(c_0_97,negated_conjecture,
join(esk1_0,join(X1,complement(X1))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_87,c_0_38]) ).
cnf(c_0_98,negated_conjecture,
join(X1,join(X2,complement(X2))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_38]),c_0_97]) ).
cnf(c_0_99,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(spm,[status(thm)],[c_0_70,c_0_19]) ).
cnf(c_0_100,negated_conjecture,
join(esk1_0,complement(esk1_0)) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_98]),c_0_17]) ).
cnf(c_0_101,plain,
complement(composition(converse(esk1_0),complement(esk1_0))) = join(X1,converse(complement(converse(X1)))),
inference(rw,[status(thm)],[c_0_36,c_0_61]) ).
cnf(c_0_102,negated_conjecture,
join(esk1_0,join(complement(esk1_0),join(X1,X2))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_95]),c_0_17]),c_0_95]) ).
cnf(c_0_103,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_19]),c_0_17]) ).
cnf(c_0_104,negated_conjecture,
composition(esk1_0,join(X1,complement(X1))) = esk1_0,
inference(spm,[status(thm)],[c_0_47,c_0_16]) ).
cnf(c_0_105,negated_conjecture,
join(complement(converse(esk1_0)),complement(join(complement(complement(converse(esk1_0))),complement(composition(converse(esk1_0),complement(esk1_0)))))) = complement(converse(esk1_0)),
inference(spm,[status(thm)],[c_0_21,c_0_67]) ).
cnf(c_0_106,negated_conjecture,
join(X1,complement(composition(converse(esk1_0),complement(esk1_0)))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_65]),c_0_19]),c_0_76]) ).
cnf(c_0_107,plain,
complement(complement(join(X1,complement(X1)))) = join(X2,complement(X2)),
inference(spm,[status(thm)],[c_0_76,c_0_80]) ).
cnf(c_0_108,negated_conjecture,
join(X1,join(complement(X1),X2)) = join(X3,complement(X3)),
inference(spm,[status(thm)],[c_0_38,c_0_100]) ).
cnf(c_0_109,plain,
join(X1,converse(complement(converse(X1)))) = join(X2,complement(X2)),
inference(spm,[status(thm)],[c_0_76,c_0_101]) ).
cnf(c_0_110,negated_conjecture,
join(esk1_0,join(X1,join(complement(esk1_0),X2))) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_102,c_0_70]) ).
cnf(c_0_111,negated_conjecture,
join(X1,join(esk1_0,complement(X1))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_103,c_0_97]) ).
cnf(c_0_112,plain,
join(esk1_0,complement(complement(esk1_0))) = complement(complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_76]),c_0_31]),c_0_104]),c_0_19]) ).
cnf(c_0_113,negated_conjecture,
join(complement(join(esk1_0,complement(esk1_0))),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106]),c_0_19]) ).
cnf(c_0_114,plain,
converse(complement(composition(converse(esk1_0),complement(esk1_0)))) = complement(composition(converse(esk1_0),complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_61]),c_0_61]) ).
cnf(c_0_115,plain,
complement(join(X1,converse(complement(converse(X1))))) = composition(converse(esk1_0),complement(esk1_0)),
inference(spm,[status(thm)],[c_0_65,c_0_101]) ).
cnf(c_0_116,negated_conjecture,
complement(complement(join(X1,join(complement(X1),X2)))) = join(X3,complement(X3)),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_117,plain,
complement(complement(join(X1,converse(complement(converse(X1)))))) = join(X2,complement(X2)),
inference(spm,[status(thm)],[c_0_107,c_0_109]) ).
cnf(c_0_118,negated_conjecture,
join(complement(esk1_0),join(X1,join(esk1_0,X2))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_110]),c_0_17]) ).
cnf(c_0_119,negated_conjecture,
join(X1,join(esk1_0,join(complement(X1),X2))) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_111]),c_0_17]),c_0_17]) ).
cnf(c_0_120,negated_conjecture,
composition(esk1_0,join(complement(X1),join(X1,X2))) = esk1_0,
inference(spm,[status(thm)],[c_0_62,c_0_19]) ).
cnf(c_0_121,plain,
join(converse(esk1_0),converse(complement(complement(esk1_0)))) = converse(complement(complement(esk1_0))),
inference(spm,[status(thm)],[c_0_27,c_0_112]) ).
cnf(c_0_122,plain,
join(esk1_0,complement(esk1_0)) = join(X1,join(X2,converse(complement(converse(X1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_101]),c_0_106]) ).
cnf(c_0_123,negated_conjecture,
join(complement(join(X1,complement(X1))),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(spm,[status(thm)],[c_0_113,c_0_38]) ).
cnf(c_0_124,plain,
converse(complement(complement(join(X1,converse(complement(converse(X1))))))) = complement(complement(join(X1,converse(complement(converse(X1)))))),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_125,negated_conjecture,
complement(complement(join(X1,join(complement(X1),X2)))) = complement(complement(join(X3,converse(complement(converse(X3)))))),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_126,negated_conjecture,
join(complement(esk1_0),join(X1,join(complement(X1),X2))) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_127,negated_conjecture,
join(converse(esk1_0),complement(composition(converse(esk1_0),complement(esk1_0)))) = complement(composition(converse(esk1_0),complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_90]),c_0_114]),c_0_114]) ).
cnf(c_0_128,negated_conjecture,
composition(esk1_0,join(complement(converse(esk1_0)),converse(complement(complement(esk1_0))))) = esk1_0,
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_129,negated_conjecture,
complement(complement(join(X1,join(complement(X1),X2)))) = join(X3,join(X4,converse(complement(converse(X3))))),
inference(spm,[status(thm)],[c_0_116,c_0_122]) ).
cnf(c_0_130,negated_conjecture,
join(complement(converse(esk1_0)),complement(join(X1,complement(X1)))) = complement(converse(esk1_0)),
inference(spm,[status(thm)],[c_0_19,c_0_123]) ).
cnf(c_0_131,negated_conjecture,
converse(complement(complement(join(X1,join(complement(X1),X2))))) = complement(complement(join(X1,join(complement(X1),X2)))),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_132,negated_conjecture,
join(X1,join(complement(esk1_0),join(complement(X1),X2))) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_103,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
join(converse(esk1_0),join(X1,complement(X1))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_127,c_0_76]) ).
cnf(c_0_134,negated_conjecture,
join(composition(complement(complement(esk1_0)),converse(esk1_0)),composition(converse(complement(converse(esk1_0))),converse(esk1_0))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_128]),c_0_27]),c_0_31]),c_0_74]),c_0_19]) ).
cnf(c_0_135,negated_conjecture,
complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))) = join(X1,join(X2,converse(complement(converse(X1))))),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_136,plain,
join(converse(X1),converse(complement(X1))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_76]),c_0_27]) ).
cnf(c_0_137,negated_conjecture,
join(X1,join(X2,converse(complement(converse(X2))))) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_106,c_0_101]) ).
cnf(c_0_138,negated_conjecture,
converse(complement(complement(join(esk1_0,complement(esk1_0))))) = complement(complement(join(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_98]),c_0_98]) ).
cnf(c_0_139,plain,
join(complement(complement(join(X1,complement(X1)))),X2) = complement(complement(join(X1,complement(X1)))),
inference(spm,[status(thm)],[c_0_91,c_0_80]) ).
cnf(c_0_140,negated_conjecture,
join(X1,join(complement(X1),converse(esk1_0))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_133]),c_0_17]) ).
cnf(c_0_141,negated_conjecture,
join(composition(esk1_0,complement(converse(esk1_0))),composition(esk1_0,converse(complement(complement(esk1_0))))) = esk1_0,
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_27,c_0_134]),c_0_31]),c_0_52]),c_0_31]),c_0_52]),c_0_31]),c_0_31]),c_0_19]) ).
cnf(c_0_142,negated_conjecture,
complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))) = join(X1,join(converse(X1),complement(converse(X1)))),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_143,negated_conjecture,
join(X1,complement(complement(join(esk1_0,complement(esk1_0))))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_144,negated_conjecture,
join(converse(X1),join(converse(complement(X1)),esk1_0)) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_140]),c_0_27]),c_0_136]),c_0_27]),c_0_31]) ).
cnf(c_0_145,negated_conjecture,
composition(esk1_0,join(esk1_0,complement(composition(esk1_0,complement(converse(esk1_0)))))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_141]),c_0_19]) ).
cnf(c_0_146,negated_conjecture,
complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))) = join(X1,join(X2,join(complement(X2),X3))),
inference(spm,[status(thm)],[c_0_142,c_0_108]) ).
cnf(c_0_147,negated_conjecture,
join(X1,complement(complement(join(X2,complement(X2))))) = join(X2,complement(X2)),
inference(spm,[status(thm)],[c_0_143,c_0_38]) ).
cnf(c_0_148,negated_conjecture,
join(converse(X1),join(esk1_0,converse(complement(X1)))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_144,c_0_19]) ).
cnf(c_0_149,negated_conjecture,
converse(complement(complement(join(converse(esk1_0),complement(converse(esk1_0)))))) = complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))),
inference(spm,[status(thm)],[c_0_131,c_0_64]) ).
cnf(c_0_150,negated_conjecture,
join(composition(converse(esk1_0),converse(esk1_0)),composition(converse(complement(composition(esk1_0,complement(converse(esk1_0))))),converse(esk1_0))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_145]),c_0_27]),c_0_74]) ).
cnf(c_0_151,negated_conjecture,
join(X1,join(converse(esk1_0),complement(converse(esk1_0)))) = complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_146]),c_0_147]) ).
cnf(c_0_152,negated_conjecture,
join(X1,join(esk1_0,converse(complement(converse(X1))))) = join(converse(X1),complement(converse(X1))),
inference(spm,[status(thm)],[c_0_148,c_0_31]) ).
cnf(c_0_153,negated_conjecture,
composition(converse(esk1_0),complement(esk1_0)) = complement(complement(complement(join(converse(esk1_0),complement(converse(esk1_0)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_149]),c_0_139]) ).
cnf(c_0_154,negated_conjecture,
join(composition(esk1_0,esk1_0),composition(esk1_0,complement(composition(esk1_0,complement(converse(esk1_0)))))) = esk1_0,
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_27,c_0_150]),c_0_31]),c_0_52]),c_0_31]),c_0_31]),c_0_52]),c_0_31]),c_0_31]) ).
cnf(c_0_155,negated_conjecture,
join(X1,join(X2,join(complement(X2),X3))) = complement(complement(join(X2,join(complement(X2),X3)))),
inference(spm,[status(thm)],[c_0_151,c_0_108]) ).
cnf(c_0_156,negated_conjecture,
complement(complement(complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))))) = join(converse(esk1_0),complement(converse(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_152]),c_0_101]),c_0_153]) ).
cnf(c_0_157,negated_conjecture,
composition(esk1_0,join(esk1_0,join(complement(composition(esk1_0,esk1_0)),X1))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_154]),c_0_70]) ).
cnf(c_0_158,negated_conjecture,
join(composition(esk1_0,X1),complement(composition(esk1_0,X1))) = join(esk1_0,complement(composition(esk1_0,X1))),
inference(spm,[status(thm)],[c_0_97,c_0_89]) ).
cnf(c_0_159,negated_conjecture,
join(X1,join(X2,join(complement(X1),X3))) = complement(complement(join(X1,join(complement(X1),X3)))),
inference(spm,[status(thm)],[c_0_103,c_0_155]) ).
cnf(c_0_160,negated_conjecture,
join(esk1_0,join(X1,join(esk1_0,X2))) = join(X2,join(esk1_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_87]),c_0_17]) ).
cnf(c_0_161,negated_conjecture,
join(X1,join(complement(X1),join(X2,X3))) = complement(complement(join(X1,join(complement(X1),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_155]),c_0_17]),c_0_17]) ).
cnf(c_0_162,negated_conjecture,
join(X1,join(complement(X1),esk1_0)) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_97]),c_0_17]) ).
cnf(c_0_163,negated_conjecture,
complement(complement(complement(complement(join(X1,complement(X1)))))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_156,c_0_38]) ).
cnf(c_0_164,negated_conjecture,
composition(esk1_0,join(esk1_0,complement(composition(esk1_0,esk1_0)))) = esk1_0,
inference(spm,[status(thm)],[c_0_157,c_0_46]) ).
cnf(c_0_165,negated_conjecture,
complement(join(esk1_0,complement(composition(esk1_0,X1)))) = composition(converse(esk1_0),complement(esk1_0)),
inference(spm,[status(thm)],[c_0_80,c_0_158]) ).
cnf(c_0_166,negated_conjecture,
join(complement(X1),join(X2,join(X3,X1))) = complement(complement(join(X1,join(complement(X1),X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_155]),c_0_17]) ).
cnf(c_0_167,negated_conjecture,
join(X1,join(X2,join(esk1_0,complement(X1)))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_162]),c_0_163]) ).
cnf(c_0_168,negated_conjecture,
join(composition(converse(esk1_0),converse(esk1_0)),composition(converse(complement(composition(esk1_0,esk1_0))),converse(esk1_0))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_164]),c_0_27]),c_0_74]) ).
cnf(c_0_169,negated_conjecture,
complement(complement(complement(join(esk1_0,complement(composition(esk1_0,X1)))))) = complement(join(esk1_0,complement(composition(esk1_0,X1)))),
inference(spm,[status(thm)],[c_0_65,c_0_165]) ).
cnf(c_0_170,negated_conjecture,
join(esk1_0,complement(esk1_0)) = join(X1,join(X2,complement(X1))),
inference(spm,[status(thm)],[c_0_103,c_0_98]) ).
cnf(c_0_171,negated_conjecture,
complement(complement(join(X1,join(X2,complement(X2))))) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_139]),c_0_147]),c_0_147]) ).
cnf(c_0_172,negated_conjecture,
join(complement(X1),join(X2,join(X1,X3))) = complement(complement(join(X1,join(complement(X1),X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_155]),c_0_17]) ).
cnf(c_0_173,negated_conjecture,
join(X1,join(esk1_0,join(X2,complement(X1)))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_167,c_0_103]) ).
cnf(c_0_174,plain,
converse(complement(join(X1,complement(X1)))) = composition(converse(complement(esk1_0)),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_80]),c_0_31]) ).
cnf(c_0_175,negated_conjecture,
join(composition(esk1_0,esk1_0),composition(esk1_0,complement(composition(esk1_0,esk1_0)))) = esk1_0,
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_27,c_0_168]),c_0_31]),c_0_52]),c_0_31]),c_0_31]),c_0_52]),c_0_31]),c_0_31]) ).
cnf(c_0_176,negated_conjecture,
complement(complement(join(esk1_0,complement(composition(esk1_0,X1))))) = join(esk1_0,complement(composition(esk1_0,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_169]),c_0_21]) ).
cnf(c_0_177,negated_conjecture,
join(X1,join(X2,complement(X1))) = join(X3,complement(X3)),
inference(spm,[status(thm)],[c_0_38,c_0_170]) ).
cnf(c_0_178,negated_conjecture,
complement(complement(join(X1,join(X2,complement(X1))))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_171,c_0_103]) ).
cnf(c_0_179,negated_conjecture,
join(complement(esk1_0),join(X1,complement(X1))) = complement(complement(join(esk1_0,join(complement(esk1_0),X1)))),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_180,negated_conjecture,
join(esk1_0,join(X1,join(complement(X1),X2))) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_97]),c_0_17]),c_0_17]) ).
cnf(c_0_181,plain,
converse(complement(join(X1,converse(complement(converse(X1)))))) = composition(converse(complement(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_174,c_0_109]) ).
cnf(c_0_182,negated_conjecture,
join(composition(esk1_0,esk1_0),join(composition(esk1_0,complement(composition(esk1_0,esk1_0))),X1)) = join(X1,esk1_0),
inference(spm,[status(thm)],[c_0_70,c_0_175]) ).
cnf(c_0_183,negated_conjecture,
complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))) = join(esk1_0,join(complement(esk1_0),X1)),
inference(spm,[status(thm)],[c_0_87,c_0_146]) ).
cnf(c_0_184,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,X1))) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_158]),c_0_176]) ).
cnf(c_0_185,negated_conjecture,
join(X1,join(X2,join(X3,complement(X2)))) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_177]),c_0_178]) ).
cnf(c_0_186,negated_conjecture,
join(converse(complement(esk1_0)),join(X1,complement(X1))) = complement(complement(join(esk1_0,join(complement(esk1_0),X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_179]),c_0_131]),c_0_27]),c_0_136]) ).
cnf(c_0_187,negated_conjecture,
complement(complement(join(X1,join(complement(X1),X2)))) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[c_0_180,c_0_155]) ).
cnf(c_0_188,negated_conjecture,
join(complement(X1),join(X2,join(complement(esk1_0),X1))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_126]),c_0_17]) ).
cnf(c_0_189,plain,
converse(complement(join(X1,converse(complement(converse(X1)))))) = converse(complement(join(X2,converse(complement(converse(X2)))))),
inference(spm,[status(thm)],[c_0_181,c_0_181]) ).
cnf(c_0_190,negated_conjecture,
composition(esk1_0,join(complement(composition(esk1_0,esk1_0)),join(X1,join(X2,esk1_0)))) = esk1_0,
inference(spm,[status(thm)],[c_0_68,c_0_182]) ).
cnf(c_0_191,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,X1))) = join(esk1_0,join(complement(esk1_0),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_176]) ).
cnf(c_0_192,negated_conjecture,
join(converse(esk1_0),converse(complement(composition(esk1_0,X1)))) = join(esk1_0,complement(composition(esk1_0,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_92]),c_0_27]) ).
cnf(c_0_193,negated_conjecture,
join(X1,join(X2,join(X3,complement(X1)))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_103,c_0_185]) ).
cnf(c_0_194,negated_conjecture,
join(converse(complement(esk1_0)),join(X1,complement(X1))) = join(esk1_0,join(complement(esk1_0),X1)),
inference(rw,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_195,negated_conjecture,
join(complement(X1),join(complement(esk1_0),join(X1,X2))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_19]),c_0_17]) ).
cnf(c_0_196,negated_conjecture,
join(X1,join(X2,complement(X2))) = join(X3,complement(X3)),
inference(spm,[status(thm)],[c_0_38,c_0_98]) ).
cnf(c_0_197,plain,
converse(complement(join(X1,converse(complement(converse(X1)))))) = converse(complement(complement(complement(join(X2,complement(X2)))))),
inference(spm,[status(thm)],[c_0_189,c_0_139]) ).
cnf(c_0_198,negated_conjecture,
composition(esk1_0,join(complement(composition(esk1_0,esk1_0)),join(X1,join(esk1_0,X2)))) = esk1_0,
inference(spm,[status(thm)],[c_0_190,c_0_19]) ).
cnf(c_0_199,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,X1))) = join(converse(esk1_0),join(converse(complement(esk1_0)),converse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_191]),c_0_27]),c_0_192]),c_0_27]) ).
cnf(c_0_200,negated_conjecture,
join(X1,join(esk1_0,join(complement(esk1_0),X1))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_201,negated_conjecture,
join(complement(esk1_0),join(complement(converse(esk1_0)),converse(complement(complement(esk1_0))))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_121]),c_0_103]) ).
cnf(c_0_202,negated_conjecture,
join(X1,join(X2,join(X3,complement(X3)))) = join(X3,complement(X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_196]),c_0_171]) ).
cnf(c_0_203,negated_conjecture,
converse(complement(join(X1,converse(complement(converse(X1)))))) = converse(complement(join(X2,join(complement(X2),X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_108]),c_0_187]) ).
cnf(c_0_204,negated_conjecture,
converse(complement(complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))))) = composition(converse(complement(esk1_0)),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_153]),c_0_31]) ).
cnf(c_0_205,negated_conjecture,
composition(esk1_0,join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),X1))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_112]),c_0_70]) ).
cnf(c_0_206,negated_conjecture,
complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))) = join(esk1_0,complement(composition(esk1_0,X1))),
inference(spm,[status(thm)],[c_0_93,c_0_135]) ).
cnf(c_0_207,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,X1))) = join(converse(esk1_0),join(converse(complement(esk1_0)),X2)),
inference(spm,[status(thm)],[c_0_199,c_0_31]) ).
cnf(c_0_208,negated_conjecture,
join(X1,join(complement(X1),join(X2,esk1_0))) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_180]),c_0_17]),c_0_17]) ).
cnf(c_0_209,negated_conjecture,
join(complement(converse(esk1_0)),join(converse(complement(complement(esk1_0))),complement(join(complement(converse(esk1_0)),converse(complement(complement(esk1_0))))))) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_87]),c_0_17]),c_0_202]),c_0_17]) ).
cnf(c_0_210,negated_conjecture,
converse(complement(join(X1,join(complement(X1),X2)))) = converse(complement(join(X3,join(complement(X3),X4)))),
inference(spm,[status(thm)],[c_0_203,c_0_203]) ).
cnf(c_0_211,negated_conjecture,
join(esk1_0,join(X1,join(esk1_0,X2))) = join(X1,join(X2,esk1_0)),
inference(spm,[status(thm)],[c_0_70,c_0_160]) ).
cnf(c_0_212,negated_conjecture,
converse(complement(join(esk1_0,join(complement(esk1_0),X1)))) = composition(converse(complement(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_204,c_0_183]) ).
cnf(c_0_213,negated_conjecture,
composition(esk1_0,join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))) = esk1_0,
inference(spm,[status(thm)],[c_0_205,c_0_46]) ).
cnf(c_0_214,negated_conjecture,
join(converse(esk1_0),join(converse(complement(esk1_0)),X1)) = complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_215,negated_conjecture,
join(X1,join(complement(X1),complement(complement(X1)))) = complement(complement(join(complement(X1),complement(complement(X1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_155]),c_0_162]) ).
cnf(c_0_216,negated_conjecture,
join(X1,join(complement(X1),join(X2,X3))) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[c_0_161,c_0_187]) ).
cnf(c_0_217,negated_conjecture,
join(complement(complement(esk1_0)),join(converse(complement(converse(esk1_0))),converse(complement(join(complement(converse(esk1_0)),converse(complement(complement(esk1_0)))))))) = join(esk1_0,complement(esk1_0)),
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_27,c_0_209]),c_0_27]),c_0_136]),c_0_27]),c_0_31]),c_0_103]) ).
cnf(c_0_218,negated_conjecture,
join(X1,join(complement(X1),join(esk1_0,X2))) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_162]),c_0_17]),c_0_17]) ).
cnf(c_0_219,negated_conjecture,
join(X1,join(X2,converse(complement(converse(X2))))) = complement(complement(join(X2,converse(complement(converse(X2)))))),
inference(spm,[status(thm)],[c_0_151,c_0_109]) ).
cnf(c_0_220,negated_conjecture,
join(composition(esk1_0,converse(esk1_0)),composition(complement(composition(esk1_0,X1)),converse(esk1_0))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_92]),c_0_74]) ).
cnf(c_0_221,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,X1))) = join(X2,converse(complement(converse(X2)))),
inference(spm,[status(thm)],[c_0_184,c_0_109]) ).
cnf(c_0_222,negated_conjecture,
converse(complement(join(X1,join(complement(X1),X2)))) = composition(converse(complement(esk1_0)),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_70]),c_0_212]) ).
cnf(c_0_223,negated_conjecture,
join(complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))),complement(complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))))) = complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_213]),c_0_153]) ).
cnf(c_0_224,negated_conjecture,
join(converse(esk1_0),join(X1,converse(complement(esk1_0)))) = complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))),
inference(spm,[status(thm)],[c_0_214,c_0_19]) ).
cnf(c_0_225,negated_conjecture,
join(X1,join(complement(X2),complement(complement(X2)))) = complement(complement(join(complement(X2),complement(complement(X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_166]),c_0_215]),c_0_163]),c_0_215]),c_0_163]) ).
cnf(c_0_226,negated_conjecture,
join(X1,join(complement(X1),complement(complement(esk1_0)))) = join(X1,join(complement(X1),complement(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
cnf(c_0_227,negated_conjecture,
join(X1,join(X2,converse(complement(converse(X1))))) = complement(complement(join(X1,converse(complement(converse(X1)))))),
inference(spm,[status(thm)],[c_0_103,c_0_219]) ).
cnf(c_0_228,negated_conjecture,
join(composition(esk1_0,converse(esk1_0)),composition(complement(esk1_0),converse(esk1_0))) = converse(esk1_0),
inference(spm,[status(thm)],[c_0_220,c_0_84]) ).
cnf(c_0_229,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,X1))) = join(esk1_0,converse(complement(composition(converse(X2),converse(esk1_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_221]),c_0_87]),c_0_52]) ).
cnf(c_0_230,negated_conjecture,
converse(complement(join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))))))) = composition(converse(complement(esk1_0)),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_17]) ).
cnf(c_0_231,negated_conjecture,
join(complement(complement(converse(esk1_0))),complement(complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))))) = converse(esk1_0),
inference(rw,[status(thm)],[c_0_67,c_0_153]) ).
cnf(c_0_232,negated_conjecture,
complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))) = join(esk1_0,join(converse(X1),complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_224]),c_0_149]),c_0_31]),c_0_27]),c_0_31]) ).
cnf(c_0_233,negated_conjecture,
complement(complement(join(complement(esk1_0),complement(complement(esk1_0))))) = join(esk1_0,join(complement(esk1_0),complement(esk1_0))),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_234,negated_conjecture,
join(X1,join(X2,join(complement(X2),X3))) = join(X2,join(complement(X2),X3)),
inference(rw,[status(thm)],[c_0_155,c_0_187]) ).
cnf(c_0_235,negated_conjecture,
join(complement(X1),join(complement(complement(X1)),X2)) = complement(complement(join(complement(X1),complement(complement(X1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_225]),c_0_17]) ).
cnf(c_0_236,negated_conjecture,
complement(complement(join(X1,converse(complement(converse(X1)))))) = join(X1,join(converse(X1),complement(converse(X1)))),
inference(spm,[status(thm)],[c_0_227,c_0_136]) ).
cnf(c_0_237,negated_conjecture,
join(esk1_0,composition(complement(esk1_0),converse(esk1_0))) = join(esk1_0,converse(esk1_0)),
inference(spm,[status(thm)],[c_0_89,c_0_228]) ).
cnf(c_0_238,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,X1))) = join(esk1_0,converse(complement(composition(X2,converse(esk1_0))))),
inference(spm,[status(thm)],[c_0_229,c_0_31]) ).
cnf(c_0_239,negated_conjecture,
complement(complement(complement(join(converse(esk1_0),complement(converse(esk1_0)))))) = complement(join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_230]),c_0_52]),c_0_31]),c_0_153]) ).
cnf(c_0_240,negated_conjecture,
join(complement(converse(esk1_0)),complement(complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_231]),c_0_163]),c_0_151]) ).
cnf(c_0_241,negated_conjecture,
join(esk1_0,join(converse(X1),complement(esk1_0))) = join(esk1_0,join(complement(esk1_0),X2)),
inference(spm,[status(thm)],[c_0_183,c_0_232]) ).
cnf(c_0_242,negated_conjecture,
join(esk1_0,join(complement(esk1_0),complement(esk1_0))) = complement(complement(join(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_233]),c_0_234]),c_0_178]),c_0_234]) ).
cnf(c_0_243,negated_conjecture,
join(X1,join(converse(X1),complement(converse(X1)))) = complement(complement(join(complement(X2),complement(complement(X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_109]),c_0_219]),c_0_236]) ).
cnf(c_0_244,negated_conjecture,
join(esk1_0,join(composition(complement(esk1_0),converse(esk1_0)),X1)) = join(X1,join(esk1_0,converse(esk1_0))),
inference(spm,[status(thm)],[c_0_70,c_0_237]) ).
cnf(c_0_245,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,X1))) = join(converse(esk1_0),complement(composition(X2,converse(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_238]),c_0_27]),c_0_192]),c_0_31]) ).
cnf(c_0_246,negated_conjecture,
join(complement(join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0))))))),complement(complement(converse(esk1_0)))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_239]),c_0_19]) ).
cnf(c_0_247,negated_conjecture,
join(complement(join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0))))))),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_239]),c_0_19]) ).
cnf(c_0_248,negated_conjecture,
join(esk1_0,join(converse(X1),complement(esk1_0))) = complement(complement(join(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_226]),c_0_242]) ).
cnf(c_0_249,plain,
converse(complement(complement(complement(join(X1,complement(X1)))))) = composition(converse(complement(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_174,c_0_107]) ).
cnf(c_0_250,negated_conjecture,
join(converse(esk1_0),complement(converse(esk1_0))) = complement(complement(join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(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_225,c_0_239]),c_0_139]),c_0_147]),c_0_139]),c_0_239]) ).
cnf(c_0_251,negated_conjecture,
join(converse(esk1_0),converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_114]),c_0_79]) ).
cnf(c_0_252,negated_conjecture,
join(X1,join(X2,converse(complement(converse(X1))))) = join(X1,join(converse(X1),complement(converse(X1)))),
inference(rw,[status(thm)],[c_0_227,c_0_236]) ).
cnf(c_0_253,negated_conjecture,
join(X1,join(converse(X2),complement(converse(X2)))) = complement(complement(join(converse(X2),complement(converse(X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_243]),c_0_202]),c_0_202]) ).
cnf(c_0_254,negated_conjecture,
join(esk1_0,join(composition(complement(esk1_0),converse(esk1_0)),X1)) = join(esk1_0,join(converse(esk1_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_244]),c_0_70]) ).
cnf(c_0_255,negated_conjecture,
join(converse(esk1_0),complement(composition(X1,converse(esk1_0)))) = complement(complement(join(converse(esk1_0),complement(converse(esk1_0))))),
inference(spm,[status(thm)],[c_0_206,c_0_245]) ).
cnf(c_0_256,negated_conjecture,
join(complement(converse(esk1_0)),complement(complement(converse(esk1_0)))) = join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_246]),c_0_247]),c_0_19]) ).
cnf(c_0_257,negated_conjecture,
complement(complement(complement(complement(join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))))))))) = complement(complement(join(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_19]),c_0_183]),c_0_250]) ).
cnf(c_0_258,negated_conjecture,
join(composition(converse(complement(esk1_0)),esk1_0),converse(complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))))) = converse(complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_223]),c_0_204]),c_0_19]) ).
cnf(c_0_259,negated_conjecture,
join(composition(converse(esk1_0),X1),composition(converse(esk1_0),X1)) = composition(converse(esk1_0),X1),
inference(spm,[status(thm)],[c_0_74,c_0_251]) ).
cnf(c_0_260,negated_conjecture,
join(X1,join(X2,converse(complement(converse(X1))))) = complement(complement(join(converse(X1),complement(converse(X1))))),
inference(rw,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_261,plain,
join(esk1_0,join(complement(complement(esk1_0)),X1)) = join(complement(complement(esk1_0)),X1),
inference(spm,[status(thm)],[c_0_17,c_0_112]) ).
cnf(c_0_262,negated_conjecture,
join(esk1_0,complement(complement(complement(complement(join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0))))))))))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_254]),c_0_255]),c_0_250]) ).
cnf(c_0_263,negated_conjecture,
join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))))) = complement(complement(join(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_256]),c_0_257]) ).
cnf(c_0_264,negated_conjecture,
join(complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))),complement(complement(complement(complement(complement(join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))))))))))) = complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))),
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_27,c_0_258]),c_0_31]),c_0_52]),c_0_31]),c_0_153]),c_0_31]),c_0_250]),c_0_19]) ).
cnf(c_0_265,negated_conjecture,
join(esk1_0,join(X1,complement(composition(esk1_0,X2)))) = join(esk1_0,complement(composition(esk1_0,X2))),
inference(spm,[status(thm)],[c_0_93,c_0_19]) ).
cnf(c_0_266,negated_conjecture,
join(composition(converse(X1),esk1_0),composition(converse(X1),esk1_0)) = composition(converse(X1),esk1_0),
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_27,c_0_259]),c_0_52]),c_0_31]),c_0_52]),c_0_31]),c_0_52]),c_0_31]) ).
cnf(c_0_267,negated_conjecture,
join(complement(complement(esk1_0)),converse(complement(converse(esk1_0)))) = complement(complement(join(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]),c_0_263]),c_0_163]),c_0_143]) ).
cnf(c_0_268,negated_conjecture,
join(complement(complement(complement(join(esk1_0,complement(esk1_0))))),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0))))) = complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_257]),c_0_19]) ).
cnf(c_0_269,negated_conjecture,
join(complement(complement(esk1_0)),complement(composition(esk1_0,X1))) = join(esk1_0,complement(composition(esk1_0,X1))),
inference(spm,[status(thm)],[c_0_265,c_0_261]) ).
cnf(c_0_270,negated_conjecture,
join(composition(X1,esk1_0),composition(X1,esk1_0)) = composition(X1,esk1_0),
inference(spm,[status(thm)],[c_0_266,c_0_31]) ).
cnf(c_0_271,negated_conjecture,
join(complement(complement(complement(join(esk1_0,complement(esk1_0))))),complement(join(complement(complement(esk1_0)),complement(converse(complement(converse(esk1_0))))))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_21,c_0_267]) ).
cnf(c_0_272,negated_conjecture,
join(complement(complement(complement(join(esk1_0,complement(esk1_0))))),complement(join(esk1_0,complement(composition(esk1_0,esk1_0))))) = complement(join(esk1_0,complement(composition(esk1_0,esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_269]),c_0_269]) ).
cnf(c_0_273,negated_conjecture,
join(complement(join(esk1_0,complement(esk1_0))),complement(join(complement(esk1_0),complement(join(complement(converse(esk1_0)),converse(complement(complement(esk1_0)))))))) = esk1_0,
inference(spm,[status(thm)],[c_0_21,c_0_201]) ).
cnf(c_0_274,negated_conjecture,
join(composition(X1,esk1_0),join(composition(X1,esk1_0),X2)) = join(composition(X1,esk1_0),X2),
inference(spm,[status(thm)],[c_0_17,c_0_270]) ).
cnf(c_0_275,negated_conjecture,
join(composition(converse(complement(esk1_0)),esk1_0),converse(complement(join(complement(complement(esk1_0)),complement(converse(complement(converse(esk1_0)))))))) = converse(complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_271]),c_0_249]) ).
cnf(c_0_276,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,esk1_0))) = complement(complement(join(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_272]),c_0_176]),c_0_176]),c_0_94]),c_0_17]),c_0_93]) ).
cnf(c_0_277,negated_conjecture,
join(composition(converse(complement(esk1_0)),esk1_0),converse(complement(join(complement(esk1_0),complement(join(complement(converse(esk1_0)),converse(complement(complement(esk1_0))))))))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_273]),c_0_174]) ).
cnf(c_0_278,negated_conjecture,
join(complement(converse(esk1_0)),converse(complement(complement(esk1_0)))) = complement(complement(join(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_267]),c_0_138]),c_0_31]),c_0_19]) ).
cnf(c_0_279,negated_conjecture,
join(converse(complement(esk1_0)),composition(converse(complement(esk1_0)),esk1_0)) = converse(complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_19]) ).
cnf(c_0_280,negated_conjecture,
join(complement(complement(esk1_0)),join(complement(complement(complement(join(esk1_0,complement(esk1_0))))),complement(composition(esk1_0,esk1_0)))) = complement(complement(join(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_269]),c_0_276]),c_0_19]) ).
cnf(c_0_281,negated_conjecture,
join(composition(converse(complement(esk1_0)),esk1_0),converse(complement(join(complement(esk1_0),complement(complement(complement(join(esk1_0,complement(esk1_0))))))))) = converse(esk1_0),
inference(rw,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_282,negated_conjecture,
join(complement(esk1_0),complement(complement(complement(join(esk1_0,complement(esk1_0)))))) = complement(esk1_0),
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_27,c_0_279]),c_0_31]),c_0_31]),c_0_52]),c_0_31]),c_0_153]),c_0_262]),c_0_269]),c_0_276]),c_0_19]),c_0_280]),c_0_163]),c_0_143]) ).
cnf(c_0_283,negated_conjecture,
join(converse(esk1_0),composition(converse(complement(esk1_0)),esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_281]),c_0_19]) ).
cnf(c_0_284,negated_conjecture,
join(complement(esk1_0),complement(join(X1,complement(X1)))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_107]),c_0_163]) ).
cnf(c_0_285,negated_conjecture,
join(esk1_0,complement(complement(complement(join(esk1_0,complement(esk1_0)))))) = esk1_0,
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_27,c_0_283]),c_0_31]),c_0_31]),c_0_52]),c_0_31]),c_0_153]),c_0_262]),c_0_269]),c_0_276]),c_0_19]),c_0_280]),c_0_163]),c_0_143]) ).
cnf(c_0_286,negated_conjecture,
join(complement(join(X1,complement(X1))),complement(esk1_0)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_284]) ).
cnf(c_0_287,negated_conjecture,
join(esk1_0,complement(join(X1,complement(X1)))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_107]),c_0_163]) ).
cnf(c_0_288,negated_conjecture,
join(complement(join(X1,complement(X1))),join(complement(esk1_0),X2)) = join(complement(esk1_0),X2),
inference(spm,[status(thm)],[c_0_17,c_0_286]) ).
cnf(c_0_289,negated_conjecture,
join(esk1_0,join(complement(join(X1,complement(X1))),X2)) = join(esk1_0,X2),
inference(spm,[status(thm)],[c_0_17,c_0_287]) ).
cnf(c_0_290,negated_conjecture,
join(complement(esk1_0),join(X1,complement(join(X2,complement(X2))))) = join(complement(esk1_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_288]),c_0_17]) ).
cnf(c_0_291,negated_conjecture,
join(esk1_0,join(X1,complement(join(X2,complement(X2))))) = join(esk1_0,X1),
inference(spm,[status(thm)],[c_0_289,c_0_19]) ).
cnf(c_0_292,negated_conjecture,
join(complement(esk1_0),complement(join(complement(X1),complement(X1)))) = join(complement(esk1_0),X1),
inference(spm,[status(thm)],[c_0_290,c_0_21]) ).
cnf(c_0_293,negated_conjecture,
join(complement(join(esk1_0,complement(esk1_0))),complement(join(complement(esk1_0),complement(complement(complement(join(esk1_0,complement(esk1_0)))))))) = esk1_0,
inference(rw,[status(thm)],[c_0_273,c_0_278]) ).
cnf(c_0_294,negated_conjecture,
join(esk1_0,complement(join(complement(X1),complement(X1)))) = join(esk1_0,X1),
inference(spm,[status(thm)],[c_0_291,c_0_21]) ).
cnf(c_0_295,negated_conjecture,
join(complement(esk1_0),X1) = join(complement(join(complement(X1),complement(X1))),complement(esk1_0)),
inference(spm,[status(thm)],[c_0_19,c_0_292]) ).
cnf(c_0_296,negated_conjecture,
join(esk1_0,complement(join(complement(esk1_0),complement(complement(complement(join(esk1_0,complement(esk1_0)))))))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_293]),c_0_85]) ).
cnf(c_0_297,negated_conjecture,
join(esk1_0,X1) = join(complement(join(complement(X1),complement(X1))),esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_294]) ).
cnf(c_0_298,negated_conjecture,
join(complement(join(complement(X1),complement(X1))),complement(esk1_0)) = join(X1,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_19,c_0_295]) ).
cnf(c_0_299,negated_conjecture,
complement(complement(esk1_0)) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_282]),c_0_112]) ).
cnf(c_0_300,negated_conjecture,
join(complement(join(complement(X1),complement(X1))),esk1_0) = join(X1,esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_297]) ).
cnf(c_0_301,negated_conjecture,
join(complement(join(X1,esk1_0)),complement(join(X1,complement(esk1_0)))) = join(complement(X1),complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_298]),c_0_299]),c_0_300]),c_0_19]) ).
cnf(c_0_302,negated_conjecture,
join(complement(complement(X1)),complement(complement(X1))) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_301]) ).
cnf(c_0_303,negated_conjecture,
join(complement(X1),complement(join(complement(X1),complement(complement(X1))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_302]),c_0_19]),c_0_19]) ).
cnf(c_0_304,negated_conjecture,
join(complement(X1),complement(join(X2,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_303,c_0_38]) ).
cnf(c_0_305,negated_conjecture,
join(complement(complement(X1)),join(complement(complement(X1)),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_17,c_0_302]) ).
cnf(c_0_306,negated_conjecture,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_304]),c_0_147]),c_0_304]) ).
cnf(c_0_307,negated_conjecture,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_306]),c_0_306]) ).
cnf(c_0_308,negated_conjecture,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_21]),c_0_19]) ).
cnf(c_0_309,negated_conjecture,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_308,c_0_19]) ).
cnf(c_0_310,negated_conjecture,
join(X1,join(complement(join(X2,complement(X1))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_17,c_0_309]) ).
cnf(c_0_311,negated_conjecture,
join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_21]),c_0_306]) ).
cnf(c_0_312,negated_conjecture,
join(X1,complement(join(esk1_0,complement(composition(esk1_0,X2))))) = X1,
inference(spm,[status(thm)],[c_0_308,c_0_184]) ).
cnf(c_0_313,negated_conjecture,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_311,c_0_306]) ).
cnf(c_0_314,negated_conjecture,
join(X1,complement(join(X2,complement(X2)))) = X1,
inference(spm,[status(thm)],[c_0_304,c_0_306]) ).
cnf(c_0_315,negated_conjecture,
join(complement(join(esk1_0,complement(composition(esk1_0,X1)))),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_312]),c_0_94]),c_0_306]) ).
cnf(c_0_316,negated_conjecture,
converse(complement(join(esk1_0,complement(composition(esk1_0,X1))))) = composition(converse(complement(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_174,c_0_158]) ).
cnf(c_0_317,negated_conjecture,
join(complement(converse(X1)),converse(complement(X1))) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_136]),c_0_314]),c_0_19]) ).
fof(c_0_318,plain,
! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_319,negated_conjecture,
join(composition(converse(complement(esk1_0)),esk1_0),converse(X1)) = converse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_315]),c_0_316]) ).
cnf(c_0_320,negated_conjecture,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_317]),c_0_313]),c_0_306]),c_0_19]) ).
cnf(c_0_321,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_322,negated_conjecture,
join(composition(converse(complement(esk1_0)),esk1_0),X1) = X1,
inference(spm,[status(thm)],[c_0_319,c_0_31]) ).
cnf(c_0_323,negated_conjecture,
join(complement(join(X1,complement(X1))),complement(X2)) = complement(X2),
inference(spm,[status(thm)],[c_0_19,c_0_304]) ).
cnf(c_0_324,negated_conjecture,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_320]),c_0_31]),c_0_31]) ).
cnf(c_0_325,negated_conjecture,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_308,c_0_306]) ).
cnf(c_0_326,negated_conjecture,
join(composition(converse(X1),converse(esk1_0)),composition(converse(complement(X1)),converse(esk1_0))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_104]),c_0_27]),c_0_74]) ).
cnf(c_0_327,negated_conjecture,
composition(esk1_0,join(composition(X1,X2),composition(complement(X1),X2))) = composition(esk1_0,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_104]),c_0_74]) ).
cnf(c_0_328,negated_conjecture,
composition(converse(complement(esk1_0)),esk1_0) = complement(join(esk1_0,complement(esk1_0))),
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_174,c_0_322]),c_0_306]),c_0_52]),c_0_31]),c_0_153]),c_0_262]),c_0_306]),c_0_269]),c_0_276]),c_0_306]),c_0_304]),c_0_276]),c_0_306]),c_0_306]),c_0_306]),c_0_87]),c_0_306]) ).
cnf(c_0_329,negated_conjecture,
join(complement(join(X1,complement(X1))),X2) = X2,
inference(spm,[status(thm)],[c_0_323,c_0_306]) ).
cnf(c_0_330,negated_conjecture,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_324,c_0_306]) ).
cnf(c_0_331,negated_conjecture,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_325,c_0_19]) ).
cnf(c_0_332,negated_conjecture,
join(composition(esk1_0,X1),composition(esk1_0,complement(X1))) = esk1_0,
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_27,c_0_326]),c_0_31]),c_0_52]),c_0_31]),c_0_31]),c_0_52]),c_0_31]),c_0_31]) ).
cnf(c_0_333,negated_conjecture,
composition(esk1_0,composition(complement(converse(complement(esk1_0))),esk1_0)) = composition(esk1_0,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_329]) ).
cnf(c_0_334,negated_conjecture,
converse(complement(X1)) = complement(converse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_31]),c_0_317]) ).
cnf(c_0_335,negated_conjecture,
join(complement(esk1_0),complement(composition(esk1_0,complement(X1)))) = complement(composition(esk1_0,complement(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_19]) ).
cnf(c_0_336,negated_conjecture,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_313,c_0_19]) ).
cnf(c_0_337,plain,
join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_46,c_0_31]) ).
cnf(c_0_338,negated_conjecture,
join(converse(esk1_0),composition(X1,converse(esk1_0))) = converse(esk1_0),
inference(spm,[status(thm)],[c_0_81,c_0_31]) ).
cnf(c_0_339,negated_conjecture,
join(complement(composition(esk1_0,X1)),composition(esk1_0,complement(X1))) = join(complement(esk1_0),composition(esk1_0,complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_332]),c_0_19]),c_0_19]) ).
cnf(c_0_340,negated_conjecture,
composition(esk1_0,composition(converse(esk1_0),esk1_0)) = composition(esk1_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_334]),c_0_306]) ).
cnf(c_0_341,negated_conjecture,
join(complement(esk1_0),complement(composition(esk1_0,X1))) = complement(composition(esk1_0,X1)),
inference(spm,[status(thm)],[c_0_335,c_0_306]) ).
cnf(c_0_342,negated_conjecture,
join(complement(X1),complement(composition(X2,complement(composition(converse(X2),X1))))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_306]),c_0_19]) ).
cnf(c_0_343,negated_conjecture,
join(converse(esk1_0),join(composition(X1,converse(esk1_0)),X2)) = join(X2,converse(esk1_0)),
inference(spm,[status(thm)],[c_0_70,c_0_338]) ).
cnf(c_0_344,negated_conjecture,
join(complement(composition(esk1_0,esk1_0)),composition(esk1_0,complement(composition(converse(esk1_0),esk1_0)))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_337]) ).
cnf(c_0_345,negated_conjecture,
complement(composition(esk1_0,complement(composition(converse(esk1_0),esk1_0)))) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_346,negated_conjecture,
complement(complement(join(esk1_0,complement(esk1_0)))) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_343]),c_0_161]),c_0_100]) ).
cnf(c_0_347,negated_conjecture,
composition(complement(converse(esk1_0)),esk1_0) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[c_0_328,c_0_334]) ).
cnf(c_0_348,negated_conjecture,
composition(esk1_0,esk1_0) = esk1_0,
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_325,c_0_344]),c_0_306]),c_0_306]),c_0_19]),c_0_83]),c_0_306]) ).
cnf(c_0_349,negated_conjecture,
composition(converse(esk1_0),complement(esk1_0)) = complement(join(complement(complement(esk1_0)),join(complement(composition(esk1_0,esk1_0)),complement(join(complement(complement(esk1_0)),complement(composition(esk1_0,esk1_0))))))),
inference(rw,[status(thm)],[c_0_153,c_0_239]) ).
cnf(c_0_350,negated_conjecture,
composition(esk1_0,complement(composition(converse(esk1_0),esk1_0))) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_345]),c_0_17]),c_0_346]),c_0_306]),c_0_17]),c_0_346]),c_0_306]),c_0_304]) ).
cnf(c_0_351,negated_conjecture,
composition(complement(converse(esk1_0)),composition(esk1_0,X1)) = composition(complement(join(esk1_0,complement(esk1_0))),X1),
inference(spm,[status(thm)],[c_0_321,c_0_347]) ).
cnf(c_0_352,negated_conjecture,
composition(converse(esk1_0),converse(esk1_0)) = converse(esk1_0),
inference(spm,[status(thm)],[c_0_52,c_0_348]) ).
cnf(c_0_353,negated_conjecture,
composition(converse(esk1_0),complement(esk1_0)) = complement(complement(complement(join(esk1_0,complement(esk1_0))))),
inference(rw,[status(thm)],[c_0_349,c_0_263]) ).
cnf(c_0_354,negated_conjecture,
join(converse(esk1_0),composition(X1,composition(X2,converse(esk1_0)))) = converse(esk1_0),
inference(spm,[status(thm)],[c_0_338,c_0_321]) ).
cnf(c_0_355,negated_conjecture,
composition(complement(composition(converse(esk1_0),esk1_0)),converse(esk1_0)) = complement(join(esk1_0,complement(esk1_0))),
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_52,c_0_350]),c_0_174]),c_0_334]),c_0_347]),c_0_334]),c_0_52]),c_0_31]) ).
cnf(c_0_356,negated_conjecture,
composition(complement(converse(esk1_0)),complement(join(esk1_0,complement(esk1_0)))) = composition(complement(join(esk1_0,complement(esk1_0))),complement(composition(converse(esk1_0),esk1_0))),
inference(spm,[status(thm)],[c_0_351,c_0_350]) ).
cnf(c_0_357,negated_conjecture,
composition(converse(esk1_0),composition(converse(esk1_0),X1)) = composition(converse(esk1_0),X1),
inference(spm,[status(thm)],[c_0_321,c_0_352]) ).
cnf(c_0_358,negated_conjecture,
composition(converse(esk1_0),complement(esk1_0)) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[c_0_353,c_0_306]) ).
cnf(c_0_359,negated_conjecture,
join(converse(esk1_0),composition(X1,complement(join(esk1_0,complement(esk1_0))))) = converse(esk1_0),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_360,negated_conjecture,
composition(complement(composition(converse(esk1_0),esk1_0)),complement(join(esk1_0,complement(esk1_0)))) = composition(complement(join(esk1_0,complement(esk1_0))),complement(esk1_0)),
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_52,c_0_356]),c_0_52]),c_0_334]),c_0_52]),c_0_31]),c_0_174]),c_0_334]),c_0_347]),c_0_174]),c_0_334]),c_0_347]),c_0_334]),c_0_31]) ).
cnf(c_0_361,negated_conjecture,
join(X1,join(X2,converse(complement(converse(X2))))) = join(X2,join(converse(X2),complement(converse(X2)))),
inference(rw,[status(thm)],[c_0_219,c_0_236]) ).
cnf(c_0_362,negated_conjecture,
composition(esk1_0,join(esk1_0,composition(complement(esk1_0),esk1_0))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_348]),c_0_348]) ).
cnf(c_0_363,negated_conjecture,
composition(converse(esk1_0),complement(join(esk1_0,complement(esk1_0)))) = complement(join(esk1_0,complement(esk1_0))),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_364,negated_conjecture,
join(composition(complement(join(esk1_0,complement(esk1_0))),complement(esk1_0)),converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_19]) ).
cnf(c_0_365,negated_conjecture,
join(X1,join(converse(complement(converse(X1))),X2)) = join(X1,join(converse(X1),complement(converse(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_361]),c_0_17]) ).
cnf(c_0_366,negated_conjecture,
composition(complement(join(esk1_0,complement(esk1_0))),join(esk1_0,composition(complement(esk1_0),esk1_0))) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_362]),c_0_347]) ).
cnf(c_0_367,negated_conjecture,
composition(converse(esk1_0),complement(join(X1,complement(X1)))) = complement(join(X1,complement(X1))),
inference(spm,[status(thm)],[c_0_363,c_0_38]) ).
cnf(c_0_368,negated_conjecture,
join(complement(composition(complement(join(esk1_0,complement(esk1_0))),complement(esk1_0))),converse(esk1_0)) = join(esk1_0,complement(esk1_0)),
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_313,c_0_364]),c_0_262]),c_0_306]),c_0_348]),c_0_269]),c_0_276]),c_0_306]),c_0_284]),c_0_306]),c_0_306]),c_0_87]),c_0_19]) ).
cnf(c_0_369,negated_conjecture,
join(X1,join(converse(complement(converse(X1))),X2)) = complement(complement(join(converse(X1),complement(converse(X1))))),
inference(rw,[status(thm)],[c_0_365,c_0_253]) ).
cnf(c_0_370,plain,
join(converse(X1),join(converse(complement(X1)),X2)) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_136]),c_0_17]) ).
cnf(c_0_371,negated_conjecture,
composition(converse(esk1_0),composition(complement(join(esk1_0,complement(esk1_0))),complement(composition(converse(esk1_0),esk1_0)))) = complement(join(esk1_0,complement(esk1_0))),
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_52,c_0_366]),c_0_174]),c_0_334]),c_0_347]),c_0_27]),c_0_52]),c_0_334]),c_0_174]),c_0_334]),c_0_347]),c_0_74]),c_0_367]),c_0_321]),c_0_356]),c_0_329]) ).
cnf(c_0_372,negated_conjecture,
join(esk1_0,complement(composition(complement(join(esk1_0,complement(esk1_0))),complement(composition(converse(esk1_0),esk1_0))))) = join(esk1_0,complement(esk1_0)),
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_27,c_0_368]),c_0_27]),c_0_136]),c_0_334]),c_0_52]),c_0_334]),c_0_174]),c_0_334]),c_0_347]),c_0_356]),c_0_31]),c_0_19]) ).
cnf(c_0_373,negated_conjecture,
join(composition(esk1_0,X1),composition(esk1_0,composition(X2,X1))) = composition(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_83]),c_0_321]) ).
cnf(c_0_374,negated_conjecture,
join(X1,join(X2,join(complement(X1),X3))) = join(X1,join(complement(X1),X3)),
inference(rw,[status(thm)],[c_0_159,c_0_187]) ).
cnf(c_0_375,negated_conjecture,
join(X1,join(complement(X1),X2)) = complement(complement(join(X1,complement(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_31]),c_0_370]) ).
cnf(c_0_376,negated_conjecture,
composition(esk1_0,join(complement(complement(complement(join(esk1_0,complement(esk1_0))))),composition(complement(converse(esk1_0)),complement(esk1_0)))) = composition(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_327,c_0_353]) ).
cnf(c_0_377,negated_conjecture,
complement(composition(complement(join(esk1_0,complement(esk1_0))),complement(composition(converse(esk1_0),esk1_0)))) = join(esk1_0,complement(esk1_0)),
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_46,c_0_371]),c_0_31]),c_0_306]),c_0_104]),c_0_19]),c_0_372]) ).
cnf(c_0_378,negated_conjecture,
composition(esk1_0,complement(join(esk1_0,complement(esk1_0)))) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_350]),c_0_350]),c_0_329]),c_0_350]) ).
cnf(c_0_379,negated_conjecture,
join(X1,join(X2,join(complement(X1),X3))) = complement(complement(join(X1,complement(X1)))),
inference(rw,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_380,negated_conjecture,
composition(esk1_0,composition(complement(converse(esk1_0)),complement(esk1_0))) = composition(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_306]),c_0_329]) ).
cnf(c_0_381,negated_conjecture,
complement(composition(complement(join(esk1_0,complement(esk1_0))),complement(esk1_0))) = join(esk1_0,complement(esk1_0)),
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_334,c_0_377]),c_0_27]),c_0_136]),c_0_52]),c_0_334]),c_0_52]),c_0_31]),c_0_174]),c_0_334]),c_0_347]),c_0_360]) ).
cnf(c_0_382,negated_conjecture,
composition(esk1_0,complement(join(X1,complement(X1)))) = complement(join(X1,complement(X1))),
inference(spm,[status(thm)],[c_0_378,c_0_38]) ).
cnf(c_0_383,negated_conjecture,
join(X1,join(X2,join(complement(X1),X3))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[c_0_379,c_0_306]) ).
cnf(c_0_384,negated_conjecture,
join(composition(esk1_0,X1),join(composition(esk1_0,complement(X1)),X2)) = join(esk1_0,X2),
inference(spm,[status(thm)],[c_0_17,c_0_332]) ).
cnf(c_0_385,negated_conjecture,
composition(complement(join(esk1_0,complement(esk1_0))),composition(complement(converse(esk1_0)),complement(esk1_0))) = composition(complement(join(esk1_0,complement(esk1_0))),complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_380]),c_0_351]) ).
cnf(c_0_386,negated_conjecture,
composition(complement(join(esk1_0,complement(esk1_0))),complement(esk1_0)) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_381]),c_0_17]),c_0_346]),c_0_306]),c_0_17]),c_0_346]),c_0_306]),c_0_304]) ).
cnf(c_0_387,negated_conjecture,
composition(esk1_0,composition(complement(join(esk1_0,complement(esk1_0))),complement(esk1_0))) = complement(join(esk1_0,complement(esk1_0))),
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_327,c_0_360]),c_0_306]),c_0_321]),c_0_382]),c_0_367]),c_0_314]),c_0_382]) ).
cnf(c_0_388,negated_conjecture,
complement(join(complement(X1),complement(join(X2,join(X1,X3))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_383]),c_0_306]),c_0_19]),c_0_306]),c_0_329]) ).
cnf(c_0_389,negated_conjecture,
join(composition(esk1_0,X1),join(X2,composition(esk1_0,complement(X1)))) = join(esk1_0,X2),
inference(spm,[status(thm)],[c_0_384,c_0_19]) ).
cnf(c_0_390,negated_conjecture,
join(X1,composition(X2,complement(composition(converse(X2),complement(X1))))) = X1,
inference(spm,[status(thm)],[c_0_337,c_0_306]) ).
cnf(c_0_391,negated_conjecture,
composition(complement(join(esk1_0,complement(esk1_0))),composition(complement(converse(esk1_0)),complement(esk1_0))) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_392,negated_conjecture,
composition(complement(join(esk1_0,complement(esk1_0))),complement(join(esk1_0,complement(esk1_0)))) = complement(join(esk1_0,complement(esk1_0))),
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_52,c_0_387]),c_0_174]),c_0_334]),c_0_347]),c_0_52]),c_0_334]),c_0_174]),c_0_334]),c_0_347]),c_0_356]),c_0_321]),c_0_355]) ).
cnf(c_0_393,negated_conjecture,
complement(join(complement(composition(esk1_0,X1)),complement(join(X2,esk1_0)))) = composition(esk1_0,X1),
inference(spm,[status(thm)],[c_0_388,c_0_332]) ).
cnf(c_0_394,negated_conjecture,
join(X1,composition(esk1_0,composition(converse(esk1_0),complement(X1)))) = join(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_19]) ).
cnf(c_0_395,negated_conjecture,
composition(complement(converse(esk1_0)),composition(complement(esk1_0),complement(join(esk1_0,complement(esk1_0))))) = complement(join(esk1_0,complement(esk1_0))),
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_52,c_0_391]),c_0_174]),c_0_334]),c_0_347]),c_0_52]),c_0_334]),c_0_334]),c_0_31]),c_0_174]),c_0_334]),c_0_347]),c_0_321]) ).
cnf(c_0_396,negated_conjecture,
composition(esk1_0,composition(complement(esk1_0),complement(join(esk1_0,complement(esk1_0))))) = complement(join(esk1_0,complement(esk1_0))),
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_327,c_0_392]),c_0_306]),c_0_74]),c_0_382]),c_0_329]),c_0_329]),c_0_382]) ).
cnf(c_0_397,negated_conjecture,
complement(join(complement(join(X1,esk1_0)),complement(composition(esk1_0,X2)))) = composition(esk1_0,X2),
inference(spm,[status(thm)],[c_0_393,c_0_19]) ).
cnf(c_0_398,negated_conjecture,
join(complement(X1),composition(esk1_0,composition(converse(esk1_0),X1))) = join(esk1_0,complement(X1)),
inference(spm,[status(thm)],[c_0_394,c_0_306]) ).
cnf(c_0_399,negated_conjecture,
composition(esk1_0,composition(converse(esk1_0),composition(complement(esk1_0),complement(join(esk1_0,complement(esk1_0)))))) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_395]),c_0_306]),c_0_329]),c_0_396]) ).
cnf(c_0_400,negated_conjecture,
join(complement(join(X1,esk1_0)),complement(composition(esk1_0,X2))) = complement(composition(esk1_0,X2)),
inference(spm,[status(thm)],[c_0_306,c_0_397]) ).
cnf(c_0_401,negated_conjecture,
join(complement(X1),complement(composition(esk1_0,composition(converse(esk1_0),X1)))) = join(complement(X1),complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_398]),c_0_313]) ).
cnf(c_0_402,negated_conjecture,
composition(complement(join(esk1_0,complement(esk1_0))),converse(esk1_0)) = complement(join(esk1_0,complement(esk1_0))),
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_52,c_0_399]),c_0_174]),c_0_334]),c_0_347]),c_0_52]),c_0_52]),c_0_174]),c_0_334]),c_0_347]),c_0_334]),c_0_31]),c_0_321]),c_0_347]),c_0_392]) ).
cnf(c_0_403,negated_conjecture,
complement(composition(esk1_0,composition(converse(esk1_0),join(X1,esk1_0)))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_19]),c_0_331]) ).
cnf(c_0_404,negated_conjecture,
composition(complement(join(X1,complement(X1))),converse(esk1_0)) = complement(join(X1,complement(X1))),
inference(spm,[status(thm)],[c_0_402,c_0_38]) ).
cnf(c_0_405,negated_conjecture,
composition(esk1_0,composition(converse(esk1_0),join(X1,esk1_0))) = esk1_0,
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_394,c_0_403]),c_0_153]),c_0_262]),c_0_306]),c_0_348]),c_0_269]),c_0_276]),c_0_306]),c_0_284]),c_0_306]),c_0_306]),c_0_87]),c_0_306]),c_0_382]),c_0_314]),c_0_83]) ).
cnf(c_0_406,negated_conjecture,
composition(complement(join(X1,complement(X1))),composition(converse(esk1_0),X2)) = composition(complement(join(X1,complement(X1))),X2),
inference(spm,[status(thm)],[c_0_321,c_0_404]) ).
cnf(c_0_407,negated_conjecture,
composition(complement(join(esk1_0,complement(esk1_0))),join(X1,esk1_0)) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_405]),c_0_347]),c_0_406]) ).
cnf(c_0_408,negated_conjecture,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_21,c_0_306]) ).
cnf(c_0_409,negated_conjecture,
composition(converse(X1),complement(join(esk1_0,complement(esk1_0)))) = complement(join(esk1_0,complement(esk1_0))),
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_52,c_0_407]),c_0_174]),c_0_334]),c_0_347]),c_0_27]),c_0_174]),c_0_334]),c_0_347]),c_0_74]),c_0_367]),c_0_314]) ).
cnf(c_0_410,negated_conjecture,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_408,c_0_19]) ).
cnf(c_0_411,negated_conjecture,
composition(converse(esk1_0),composition(complement(esk1_0),X1)) = composition(complement(complement(complement(join(esk1_0,complement(esk1_0))))),X1),
inference(spm,[status(thm)],[c_0_321,c_0_353]) ).
cnf(c_0_412,negated_conjecture,
composition(converse(X1),complement(join(X2,complement(X2)))) = complement(join(X2,complement(X2))),
inference(spm,[status(thm)],[c_0_409,c_0_38]) ).
cnf(c_0_413,negated_conjecture,
join(complement(join(complement(X1),X2)),complement(join(X2,X1))) = complement(X2),
inference(spm,[status(thm)],[c_0_19,c_0_410]) ).
cnf(c_0_414,negated_conjecture,
composition(converse(esk1_0),composition(complement(esk1_0),X1)) = composition(complement(join(esk1_0,complement(esk1_0))),X1),
inference(rw,[status(thm)],[c_0_411,c_0_306]) ).
cnf(c_0_415,negated_conjecture,
composition(complement(join(X1,complement(X1))),X2) = complement(join(X1,complement(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_52,c_0_412]),c_0_334]),c_0_27]),c_0_136]),c_0_334]),c_0_27]),c_0_136]),c_0_31]) ).
cnf(c_0_416,negated_conjecture,
join(X1,complement(composition(converse(X2),complement(composition(X2,X1))))) = complement(composition(converse(X2),complement(composition(X2,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_46]),c_0_306]),c_0_313]) ).
cnf(c_0_417,negated_conjecture,
composition(converse(esk1_0),composition(complement(esk1_0),X1)) = complement(join(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_418,negated_conjecture,
join(composition(X1,X2),composition(complement(join(complement(X1),X3)),X2)) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_74,c_0_308]) ).
cnf(c_0_419,negated_conjecture,
join(X1,complement(join(X2,join(X1,X3)))) = join(X1,complement(join(X2,X3))),
inference(spm,[status(thm)],[c_0_336,c_0_103]) ).
cnf(c_0_420,negated_conjecture,
join(complement(esk1_0),composition(complement(esk1_0),X1)) = complement(esk1_0),
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_416,c_0_417]),c_0_31]),c_0_306]),c_0_104]),c_0_31]),c_0_306]),c_0_104]),c_0_19]) ).
cnf(c_0_421,negated_conjecture,
join(esk1_0,composition(complement(join(complement(esk1_0),X1)),X2)) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_418]),c_0_83]) ).
cnf(c_0_422,negated_conjecture,
join(X1,join(X2,complement(join(complement(X1),X3)))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_103,c_0_308]) ).
cnf(c_0_423,negated_conjecture,
join(complement(esk1_0),complement(join(X1,composition(complement(esk1_0),X2)))) = join(complement(esk1_0),complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_313]) ).
cnf(c_0_424,negated_conjecture,
join(esk1_0,composition(complement(join(X1,complement(esk1_0))),X2)) = esk1_0,
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_425,negated_conjecture,
join(complement(esk1_0),complement(join(composition(complement(esk1_0),X1),X2))) = join(complement(esk1_0),complement(X2)),
inference(spm,[status(thm)],[c_0_423,c_0_19]) ).
cnf(c_0_426,negated_conjecture,
join(composition(X1,X2),composition(complement(join(X3,X1)),X2)) = join(composition(X1,X2),composition(complement(X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_313]),c_0_74]) ).
cnf(c_0_427,negated_conjecture,
join(complement(esk1_0),complement(composition(complement(join(X1,complement(esk1_0))),X2))) = complement(composition(complement(join(X1,complement(esk1_0))),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_424]),c_0_19]) ).
fof(c_0_428,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_429,negated_conjecture,
complement(composition(complement(join(X1,complement(esk1_0))),X2)) = join(complement(esk1_0),complement(composition(complement(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_425]),c_0_427]) ).
cnf(c_0_430,negated_conjecture,
composition(meet(esk1_0,esk2_0),esk3_0) != meet(esk1_0,composition(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_431,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_428]) ).
cnf(c_0_432,negated_conjecture,
complement(composition(complement(join(complement(esk1_0),X1)),X2)) = join(complement(esk1_0),complement(composition(complement(X1),X2))),
inference(spm,[status(thm)],[c_0_429,c_0_19]) ).
cnf(c_0_433,negated_conjecture,
composition(complement(join(complement(esk1_0),complement(esk2_0))),esk3_0) != complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_431]),c_0_431]) ).
cnf(c_0_434,negated_conjecture,
composition(complement(join(complement(esk1_0),X1)),X2) = complement(join(complement(esk1_0),complement(composition(complement(X1),X2)))),
inference(spm,[status(thm)],[c_0_306,c_0_432]) ).
cnf(c_0_435,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_433,c_0_434]),c_0_306])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL033+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 07:29:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.41 eprover: CPU time limit exceeded, terminating
% 0.32/23.43 eprover: CPU time limit exceeded, terminating
% 0.42/46.42 eprover: CPU time limit exceeded, terminating
% 0.42/46.42 eprover: CPU time limit exceeded, terminating
% 0.42/46.44 eprover: CPU time limit exceeded, terminating
% 0.42/46.45 eprover: CPU time limit exceeded, terminating
% 0.54/69.44 eprover: CPU time limit exceeded, terminating
% 0.54/69.45 eprover: CPU time limit exceeded, terminating
% 0.54/69.46 eprover: CPU time limit exceeded, terminating
% 0.54/69.47 eprover: CPU time limit exceeded, terminating
% 0.65/92.46 eprover: CPU time limit exceeded, terminating
% 0.65/92.47 eprover: CPU time limit exceeded, terminating
% 0.65/92.48 eprover: CPU time limit exceeded, terminating
% 0.65/92.51 eprover: CPU time limit exceeded, terminating
% 0.76/115.48 eprover: CPU time limit exceeded, terminating
% 0.76/115.50 eprover: CPU time limit exceeded, terminating
% 0.76/115.51 eprover: CPU time limit exceeded, terminating
% 0.76/115.52 eprover: CPU time limit exceeded, terminating
% 0.88/138.50 eprover: CPU time limit exceeded, terminating
% 0.88/138.53 eprover: CPU time limit exceeded, terminating
% 0.88/138.54 eprover: CPU time limit exceeded, terminating
% 0.88/138.55 eprover: CPU time limit exceeded, terminating
% 0.98/161.55 eprover: eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.98/161.55
% 0.98/161.55
% 0.98/161.56 eprover: CPU time limit exceeded, terminating
% 1.06/176.24 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.06/176.24
% 1.06/176.24 # Failure: Resource limit exceeded (time)
% 1.06/176.24 # OLD status Res
% 1.06/176.24 # Preprocessing time : 0.014 s
% 1.06/176.24 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.06/176.24
% 1.06/176.24 # Failure: Resource limit exceeded (time)
% 1.06/176.24 # OLD status Res
% 1.06/176.24 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.06/176.24 # Preprocessing time : 0.014 s
% 1.06/176.24 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.06/176.24
% 1.06/176.24 # Failure: Resource limit exceeded (time)
% 1.06/176.24 # OLD status Res
% 1.06/176.24 # Preprocessing time : 0.007 s
% 1.06/176.24 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.06/176.24
% 1.06/176.24 # Failure: Resource limit exceeded (time)
% 1.06/176.24 # OLD status Res
% 1.06/176.24 # Preprocessing time : 0.014 s
% 1.06/176.24 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.06/176.24
% 1.06/176.24 # Failure: Resource limit exceeded (time)
% 1.06/176.24 # OLD status Res
% 1.06/176.24 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.06/176.24 # Preprocessing time : 0.015 s
% 1.06/176.24 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 1.06/176.24
% 1.06/176.24 # Failure: Resource limit exceeded (time)
% 1.06/176.24 # OLD status Res
% 1.06/176.24 # Preprocessing time : 0.014 s
% 1.06/176.24 # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 1.06/176.24
% 1.06/176.24 # Failure: Resource limit exceeded (time)
% 1.06/176.24 # OLD status Res
% 1.06/176.24 # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 1.06/176.24 # Preprocessing time : 0.008 s
% 1.06/176.24 # Running protocol protocol_eprover_29f46a864b4eba32a7d0333eeab34cc2a3bfeeb2 for 23 seconds:
% 1.06/176.24 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,04,500,1.0)
% 1.06/176.24 # Preprocessing time : 0.008 s
% 1.06/176.24
% 1.06/176.24 # Proof found!
% 1.06/176.24 # SZS status Theorem
% 1.06/176.24 # SZS output start CNFRefutation
% See solution above
% 1.06/176.24 # Proof object total steps : 436
% 1.06/176.24 # Proof object clause steps : 411
% 1.06/176.24 # Proof object formula steps : 25
% 1.06/176.24 # Proof object conjectures : 349
% 1.06/176.24 # Proof object clause conjectures : 346
% 1.06/176.24 # Proof object formula conjectures : 3
% 1.06/176.24 # Proof object initial clauses used : 13
% 1.06/176.24 # Proof object initial formulas used : 12
% 1.06/176.24 # Proof object generating inferences : 351
% 1.06/176.24 # Proof object simplifying inferences : 580
% 1.06/176.24 # Training examples: 0 positive, 0 negative
% 1.06/176.24 # Parsed axioms : 17
% 1.06/176.24 # Removed by relevancy pruning/SinE : 2
% 1.06/176.24 # Initial clauses : 16
% 1.06/176.24 # Removed in clause preprocessing : 1
% 1.06/176.24 # Initial clauses in saturation : 15
% 1.06/176.24 # Processed clauses : 107509
% 1.06/176.24 # ...of these trivial : 36407
% 1.06/176.24 # ...subsumed : 63564
% 1.06/176.24 # ...remaining for further processing : 7538
% 1.06/176.24 # Other redundant clauses eliminated : 0
% 1.06/176.24 # Clauses deleted for lack of memory : 108347
% 1.06/176.24 # Backward-subsumed : 49
% 1.06/176.24 # Backward-rewritten : 5913
% 1.06/176.24 # Generated clauses : 1122579
% 1.06/176.24 # ...of the previous two non-trivial : 535458
% 1.06/176.24 # Contextual simplify-reflections : 0
% 1.06/176.24 # Paramodulations : 1122579
% 1.06/176.24 # Factorizations : 0
% 1.06/176.24 # Equation resolutions : 0
% 1.06/176.24 # Current number of processed clauses : 1576
% 1.06/176.24 # Positive orientable unit clauses : 1520
% 1.06/176.24 # Positive unorientable unit clauses: 56
% 1.06/176.24 # Negative unit clauses : 0
% 1.06/176.24 # Non-unit-clauses : 0
% 1.06/176.24 # Current number of unprocessed clauses: 46756
% 1.06/176.24 # ...number of literals in the above : 46756
% 1.06/176.24 # Current number of archived formulas : 0
% 1.06/176.24 # Current number of archived clauses : 5963
% 1.06/176.24 # Clause-clause subsumption calls (NU) : 0
% 1.06/176.24 # Rec. Clause-clause subsumption calls : 0
% 1.06/176.24 # Non-unit clause-clause subsumptions : 0
% 1.06/176.24 # Unit Clause-clause subsumption calls : 42156
% 1.06/176.24 # Rewrite failures with RHS unbound : 14675
% 1.06/176.24 # BW rewrite match attempts : 258042
% 1.06/176.24 # BW rewrite match successes : 8197
% 1.06/176.24 # Condensation attempts : 0
% 1.06/176.24 # Condensation successes : 0
% 1.06/176.24 # Termbank termtop insertions : 26042027
% 1.06/176.24
% 1.06/176.24 # -------------------------------------------------
% 1.06/176.24 # User time : 14.127 s
% 1.06/176.24 # System time : 0.155 s
% 1.06/176.24 # Total time : 14.282 s
% 1.06/176.24 # Maximum resident set size: 179008 pages
% 1.06/184.57 eprover: CPU time limit exceeded, terminating
% 1.06/184.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.06/184.59 eprover: No such file or directory
% 1.06/184.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.06/184.59 eprover: No such file or directory
% 1.06/184.60 eprover: CPU time limit exceeded, terminating
% 1.06/184.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.06/184.60 eprover: No such file or directory
% 1.06/184.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.06/184.60 eprover: No such file or directory
% 1.06/184.60 eprover: CPU time limit exceeded, terminating
% 1.06/184.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.06/184.61 eprover: No such file or directory
% 1.06/184.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.06/184.62 eprover: No such file or directory
% 1.06/184.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.06/184.62 eprover: No such file or directory
% 1.06/184.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.06/184.62 eprover: No such file or directory
% 1.06/184.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.06/184.63 eprover: No such file or directory
% 1.06/184.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.06/184.63 eprover: No such file or directory
% 1.06/184.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.06/184.64 eprover: No such file or directory
% 1.06/184.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.06/184.64 eprover: No such file or directory
%------------------------------------------------------------------------------