%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL010+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 19:19:03 EDT 2022
% Result : Theorem 0.48s 53.65s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 11
% Syntax : Number of formulae : 275 ( 272 unt; 0 def)
% Number of atoms : 278 ( 277 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 214 ( 10 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(def_zero,axiom,
! [X1] : zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(goals,conjecture,
! [X1,X2,X3] :
( meet(composition(X1,X2),X3) = zero
=> meet(X2,composition(converse(X1),X3)) = zero ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(c_0_11,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_12,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
fof(c_0_13,plain,
! [X2] : zero = meet(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_14,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_15,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_21,negated_conjecture,
~ ! [X1,X2,X3] :
( meet(composition(X1,X2),X3) = zero
=> meet(X2,composition(converse(X1),X3)) = zero ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_22,plain,
join(zero,complement(join(complement(X1),complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_20]),c_0_16]) ).
cnf(c_0_23,plain,
complement(join(zero,complement(zero))) = zero,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_20,c_0_20]),c_0_20]) ).
fof(c_0_24,negated_conjecture,
( meet(composition(esk1_0,esk2_0),esk3_0) = zero
& meet(esk2_0,composition(converse(esk1_0),esk3_0)) != zero ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_25,plain,
join(complement(X1),complement(complement(X1))) = join(zero,complement(join(zero,zero))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_22,c_0_20]),c_0_20]) ).
cnf(c_0_26,plain,
join(zero,complement(join(zero,zero))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_27,negated_conjecture,
meet(composition(esk1_0,esk2_0),esk3_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(pm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_29,plain,
join(complement(X1),complement(complement(X1))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
complement(join(complement(composition(esk1_0,esk2_0)),complement(esk3_0))) = zero,
inference(rw,[status(thm)],[c_0_27,c_0_18]) ).
fof(c_0_31,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_32,plain,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_23]),c_0_23]) ).
cnf(c_0_33,plain,
join(zero,complement(join(X1,complement(complement(X1))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_29]),c_0_23]),c_0_16]),c_0_16]) ).
cnf(c_0_34,negated_conjecture,
complement(join(complement(esk3_0),complement(composition(esk1_0,esk2_0)))) = zero,
inference(rw,[status(thm)],[c_0_30,c_0_16]) ).
cnf(c_0_35,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
join(zero,complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_32,c_0_23]),c_0_33]) ).
cnf(c_0_37,negated_conjecture,
join(zero,complement(join(complement(esk3_0),composition(esk1_0,esk2_0)))) = esk3_0,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_34]),c_0_16]) ).
cnf(c_0_38,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_16]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
join(complement(esk3_0),complement(composition(esk1_0,esk2_0))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_22,c_0_34]),c_0_34]),c_0_26]) ).
cnf(c_0_40,plain,
join(complement(X1),complement(complement(X1))) = complement(zero),
inference(rw,[status(thm)],[c_0_29,c_0_36]) ).
cnf(c_0_41,plain,
complement(complement(zero)) = zero,
inference(rw,[status(thm)],[c_0_23,c_0_36]) ).
cnf(c_0_42,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(pm,[status(thm)],[c_0_35,c_0_19]) ).
cnf(c_0_43,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),X1))) = X2,
inference(pm,[status(thm)],[c_0_16,c_0_28]) ).
cnf(c_0_44,negated_conjecture,
join(zero,join(complement(join(complement(esk3_0),composition(esk1_0,esk2_0))),X1)) = join(esk3_0,X1),
inference(pm,[status(thm)],[c_0_35,c_0_37]) ).
cnf(c_0_45,negated_conjecture,
join(zero,complement(join(complement(esk3_0),complement(complement(composition(esk1_0,esk2_0)))))) = esk3_0,
inference(pm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_46,plain,
join(complement(join(zero,complement(X1))),complement(join(zero,join(complement(X1),complement(zero))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_23]),c_0_38]),c_0_16]),c_0_16]) ).
cnf(c_0_47,negated_conjecture,
join(zero,complement(join(esk3_0,complement(composition(esk1_0,esk2_0))))) = composition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_39]),c_0_23]),c_0_16]),c_0_16]) ).
cnf(c_0_48,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_40]),c_0_41]),c_0_33]) ).
cnf(c_0_49,plain,
join(X1,complement(join(complement(X2),X1))) = join(X2,complement(join(complement(X1),X2))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_43]),c_0_16]) ).
cnf(c_0_50,negated_conjecture,
join(zero,join(X1,complement(join(complement(esk3_0),composition(esk1_0,esk2_0))))) = join(esk3_0,X1),
inference(pm,[status(thm)],[c_0_44,c_0_16]) ).
cnf(c_0_51,plain,
join(zero,join(complement(join(zero,zero)),X1)) = join(zero,join(complement(zero),X1)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_26]),c_0_35]) ).
cnf(c_0_52,negated_conjecture,
join(zero,join(complement(join(complement(esk3_0),complement(complement(composition(esk1_0,esk2_0))))),X1)) = join(esk3_0,X1),
inference(pm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
join(complement(esk3_0),composition(esk1_0,esk2_0)) = join(complement(esk3_0),complement(join(esk3_0,complement(zero)))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_44]),c_0_37]) ).
cnf(c_0_54,negated_conjecture,
join(zero,join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),X1)) = join(composition(esk1_0,esk2_0),X1),
inference(pm,[status(thm)],[c_0_35,c_0_47]) ).
cnf(c_0_55,plain,
join(X1,complement(X1)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_48]),c_0_16]) ).
cnf(c_0_56,plain,
join(X1,complement(join(complement(X2),X1))) = join(X2,complement(join(X2,complement(X1)))),
inference(pm,[status(thm)],[c_0_49,c_0_16]) ).
cnf(c_0_57,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(pm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_58,negated_conjecture,
join(esk3_0,complement(complement(join(complement(esk3_0),composition(esk1_0,esk2_0))))) = join(zero,join(zero,complement(zero))),
inference(pm,[status(thm)],[c_0_44,c_0_29]) ).
cnf(c_0_59,negated_conjecture,
join(esk3_0,complement(join(zero,zero))) = join(esk3_0,complement(zero)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_50,c_0_51]),c_0_50]) ).
fof(c_0_60,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_61,negated_conjecture,
join(esk3_0,complement(join(complement(esk3_0),complement(complement(complement(composition(esk1_0,esk2_0))))))) = join(esk3_0,zero),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_19]),c_0_16]) ).
cnf(c_0_62,negated_conjecture,
join(zero,complement(join(complement(esk3_0),complement(join(esk3_0,complement(zero)))))) = esk3_0,
inference(rw,[status(thm)],[c_0_37,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
join(esk3_0,complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_54,c_0_55]),c_0_55]),c_0_48]),c_0_38]),c_0_55]) ).
cnf(c_0_64,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X2,complement(join(X2,complement(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_56]),c_0_56]) ).
cnf(c_0_65,negated_conjecture,
join(complement(join(zero,join(zero,complement(zero)))),complement(join(complement(esk3_0),complement(complement(join(complement(esk3_0),composition(esk1_0,esk2_0))))))) = complement(join(complement(esk3_0),composition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_57,c_0_58]),c_0_16]) ).
cnf(c_0_66,negated_conjecture,
join(esk3_0,join(complement(join(zero,zero)),X1)) = join(esk3_0,join(complement(zero),X1)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_59]),c_0_35]) ).
cnf(c_0_67,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_68,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(pm,[status(thm)],[c_0_16,c_0_35]) ).
cnf(c_0_69,negated_conjecture,
join(complement(join(esk3_0,zero)),complement(join(complement(esk3_0),complement(join(complement(esk3_0),complement(complement(complement(composition(esk1_0,esk2_0))))))))) = join(complement(esk3_0),complement(complement(complement(composition(esk1_0,esk2_0))))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_57,c_0_61]),c_0_16]) ).
cnf(c_0_70,negated_conjecture,
join(esk3_0,zero) = esk3_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)],[c_0_62,c_0_63]),c_0_48]),c_0_16]),c_0_64]),c_0_63]),c_0_48]) ).
cnf(c_0_71,negated_conjecture,
join(complement(join(zero,join(zero,complement(zero)))),complement(join(complement(esk3_0),complement(complement(join(complement(esk3_0),complement(join(esk3_0,complement(zero))))))))) = complement(join(complement(esk3_0),complement(join(esk3_0,complement(zero))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_53]),c_0_53]) ).
cnf(c_0_72,negated_conjecture,
join(esk3_0,join(complement(zero),complement(complement(join(zero,zero))))) = join(esk3_0,join(zero,complement(zero))),
inference(pm,[status(thm)],[c_0_66,c_0_29]) ).
cnf(c_0_73,negated_conjecture,
join(converse(esk3_0),converse(complement(complement(join(complement(esk3_0),composition(esk1_0,esk2_0)))))) = join(converse(zero),join(converse(zero),converse(complement(zero)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_58]),c_0_67]),c_0_67]) ).
cnf(c_0_74,plain,
join(complement(X1),complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_19]),c_0_68]),c_0_16]),c_0_16]) ).
cnf(c_0_75,negated_conjecture,
join(complement(esk3_0),complement(join(zero,complement(esk3_0)))) = complement(zero),
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)],[c_0_69,c_0_48]),c_0_39]),c_0_36]),c_0_48]),c_0_16]),c_0_48]),c_0_39]),c_0_36]),c_0_70]) ).
cnf(c_0_76,negated_conjecture,
join(zero,complement(join(zero,join(complement(esk3_0),complement(esk3_0))))) = complement(join(zero,complement(esk3_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)],[c_0_71,c_0_36]),c_0_36]),c_0_48]),c_0_48]),c_0_63]),c_0_48]),c_0_16]),c_0_38]),c_0_63]),c_0_48]),c_0_16]) ).
fof(c_0_77,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
cnf(c_0_78,negated_conjecture,
join(converse(esk3_0),join(converse(complement(zero)),converse(complement(complement(join(zero,zero)))))) = join(converse(esk3_0),join(converse(zero),converse(complement(zero)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_72]),c_0_67]),c_0_67]),c_0_67]) ).
cnf(c_0_79,negated_conjecture,
join(converse(esk3_0),converse(complement(complement(join(complement(esk3_0),complement(join(esk3_0,complement(zero)))))))) = join(converse(zero),join(converse(zero),converse(complement(zero)))),
inference(rw,[status(thm)],[c_0_73,c_0_53]) ).
cnf(c_0_80,negated_conjecture,
join(complement(esk3_0),complement(join(zero,join(complement(esk3_0),complement(complement(composition(esk1_0,esk2_0))))))) = join(zero,complement(zero)),
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(pm,[status(thm)],[c_0_74,c_0_39]),c_0_23]),c_0_39]),c_0_16]),c_0_68]),c_0_16]),c_0_38]) ).
cnf(c_0_81,negated_conjecture,
complement(join(zero,complement(esk3_0))) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_75]),c_0_48]),c_0_48]),c_0_38]),c_0_76]) ).
cnf(c_0_82,negated_conjecture,
join(complement(esk3_0),complement(join(complement(zero),complement(join(complement(esk3_0),composition(esk1_0,esk2_0)))))) = join(complement(esk3_0),composition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_57,c_0_37]),c_0_16]) ).
cnf(c_0_83,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_84,negated_conjecture,
join(complement(esk3_0),join(complement(composition(esk1_0,esk2_0)),X1)) = join(zero,join(complement(zero),X1)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_39]),c_0_35]) ).
cnf(c_0_85,negated_conjecture,
join(zero,join(X1,complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))))) = join(X1,composition(esk1_0,esk2_0)),
inference(pm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_86,negated_conjecture,
join(converse(esk3_0),join(converse(zero),join(converse(zero),converse(complement(zero))))) = join(converse(esk3_0),join(converse(zero),converse(complement(zero)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_48]),c_0_67]),c_0_68]),c_0_16]) ).
cnf(c_0_87,negated_conjecture,
join(converse(zero),join(converse(zero),converse(complement(zero)))) = join(converse(esk3_0),join(converse(zero),converse(complement(esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_48]),c_0_67]),c_0_63]),c_0_48]),c_0_16]) ).
cnf(c_0_88,negated_conjecture,
join(converse(complement(esk3_0)),converse(complement(join(zero,join(complement(esk3_0),complement(complement(composition(esk1_0,esk2_0)))))))) = join(converse(zero),converse(complement(zero))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_80]),c_0_67]) ).
cnf(c_0_89,negated_conjecture,
join(zero,complement(esk3_0)) = complement(esk3_0),
inference(pm,[status(thm)],[c_0_48,c_0_81]) ).
cnf(c_0_90,negated_conjecture,
join(converse(complement(esk3_0)),converse(complement(join(complement(zero),complement(join(complement(esk3_0),composition(esk1_0,esk2_0))))))) = join(composition(converse(esk2_0),converse(esk1_0)),converse(complement(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_82]),c_0_67]),c_0_83]),c_0_16]) ).
cnf(c_0_91,negated_conjecture,
join(complement(composition(esk1_0,esk2_0)),complement(join(complement(zero),composition(esk1_0,esk2_0)))) = join(esk3_0,complement(composition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_74,c_0_84]),c_0_16]),c_0_85]),c_0_16]) ).
cnf(c_0_92,negated_conjecture,
join(complement(esk3_0),join(X1,complement(composition(esk1_0,esk2_0)))) = join(X1,join(zero,complement(zero))),
inference(pm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_93,negated_conjecture,
join(converse(esk3_0),join(converse(zero),converse(complement(zero)))) = join(converse(esk3_0),join(converse(esk3_0),join(converse(zero),converse(complement(esk3_0))))),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_94,negated_conjecture,
join(converse(zero),converse(complement(zero))) = join(converse(esk3_0),converse(complement(esk3_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)],[c_0_88,c_0_48]),c_0_53]),c_0_63]),c_0_48]),c_0_16]),c_0_89]),c_0_89]),c_0_48]),c_0_16]) ).
cnf(c_0_95,negated_conjecture,
join(converse(complement(esk3_0)),converse(complement(join(complement(zero),complement(join(complement(esk3_0),complement(join(esk3_0,complement(zero))))))))) = join(composition(converse(esk2_0),converse(esk1_0)),converse(complement(esk3_0))),
inference(rw,[status(thm)],[c_0_90,c_0_53]) ).
cnf(c_0_96,negated_conjecture,
join(converse(zero),converse(complement(join(complement(esk3_0),composition(esk1_0,esk2_0))))) = converse(esk3_0),
inference(pm,[status(thm)],[c_0_67,c_0_37]) ).
cnf(c_0_97,negated_conjecture,
join(zero,join(complement(zero),complement(join(complement(zero),composition(esk1_0,esk2_0))))) = join(esk3_0,join(zero,complement(zero))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_84,c_0_91]),c_0_92]) ).
cnf(c_0_98,negated_conjecture,
join(converse(esk3_0),join(converse(esk3_0),join(converse(zero),converse(complement(esk3_0))))) = join(converse(esk3_0),join(converse(esk3_0),converse(complement(esk3_0)))),
inference(rw,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
join(converse(zero),converse(complement(esk3_0))) = join(composition(converse(esk2_0),converse(esk1_0)),converse(complement(esk3_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)],[c_0_95,c_0_63]),c_0_48]),c_0_16]),c_0_89]),c_0_48]),c_0_16]),c_0_63]),c_0_48]),c_0_16]) ).
cnf(c_0_100,plain,
join(X1,join(X2,complement(join(X1,X2)))) = complement(zero),
inference(pm,[status(thm)],[c_0_35,c_0_55]) ).
cnf(c_0_101,negated_conjecture,
join(complement(esk3_0),composition(esk1_0,esk2_0)) = join(zero,complement(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_63]),c_0_48]),c_0_16]) ).
cnf(c_0_102,negated_conjecture,
join(zero,join(complement(zero),complement(complement(composition(esk1_0,esk2_0))))) = join(zero,join(complement(esk3_0),complement(zero))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_84,c_0_29]),c_0_38]) ).
cnf(c_0_103,negated_conjecture,
join(converse(zero),join(converse(complement(join(complement(esk3_0),composition(esk1_0,esk2_0)))),X1)) = join(converse(esk3_0),X1),
inference(pm,[status(thm)],[c_0_35,c_0_96]) ).
cnf(c_0_104,negated_conjecture,
join(converse(zero),join(converse(complement(zero)),converse(complement(join(complement(zero),composition(esk1_0,esk2_0)))))) = join(converse(esk3_0),join(converse(zero),converse(complement(zero)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_97]),c_0_67]),c_0_67]),c_0_67]) ).
cnf(c_0_105,negated_conjecture,
join(composition(converse(esk2_0),converse(esk1_0)),join(converse(esk3_0),join(converse(esk3_0),converse(complement(esk3_0))))) = join(converse(esk3_0),join(converse(esk3_0),converse(complement(esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_38]),c_0_38]) ).
cnf(c_0_106,plain,
join(X1,join(X2,complement(join(X2,X1)))) = complement(zero),
inference(pm,[status(thm)],[c_0_38,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
join(complement(esk3_0),composition(esk1_0,esk2_0)) = complement(esk3_0),
inference(rw,[status(thm)],[c_0_101,c_0_89]) ).
cnf(c_0_108,negated_conjecture,
join(complement(esk3_0),complement(composition(esk1_0,esk2_0))) = complement(zero),
inference(rw,[status(thm)],[c_0_39,c_0_36]) ).
cnf(c_0_109,negated_conjecture,
join(converse(complement(esk3_0)),converse(complement(composition(esk1_0,esk2_0)))) = join(converse(zero),converse(complement(zero))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_39]),c_0_67]) ).
cnf(c_0_110,negated_conjecture,
join(converse(zero),join(converse(complement(zero)),converse(complement(complement(composition(esk1_0,esk2_0)))))) = join(converse(zero),join(converse(complement(esk3_0)),converse(complement(zero)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_102]),c_0_67]),c_0_67]),c_0_67]) ).
cnf(c_0_111,negated_conjecture,
join(converse(zero),join(X1,converse(complement(join(complement(esk3_0),composition(esk1_0,esk2_0)))))) = join(converse(esk3_0),X1),
inference(pm,[status(thm)],[c_0_103,c_0_16]) ).
cnf(c_0_112,negated_conjecture,
join(esk3_0,join(complement(complement(join(complement(esk3_0),composition(esk1_0,esk2_0)))),X1)) = join(zero,join(zero,join(complement(zero),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_58]),c_0_35]),c_0_35]) ).
cnf(c_0_113,negated_conjecture,
join(converse(zero),join(converse(complement(zero)),converse(complement(join(complement(zero),composition(esk1_0,esk2_0)))))) = join(converse(esk3_0),join(converse(esk3_0),converse(complement(esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_93]),c_0_99]),c_0_38]),c_0_38]),c_0_105]) ).
cnf(c_0_114,negated_conjecture,
join(complement(zero),composition(esk1_0,esk2_0)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_106,c_0_107]),c_0_48]),c_0_16]),c_0_55]),c_0_16]) ).
cnf(c_0_115,negated_conjecture,
converse(complement(zero)) = join(converse(esk3_0),converse(complement(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_108]),c_0_109]),c_0_94]) ).
cnf(c_0_116,negated_conjecture,
join(converse(zero),join(converse(complement(esk3_0)),converse(complement(zero)))) = join(composition(converse(esk2_0),converse(esk1_0)),join(converse(zero),converse(complement(zero)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_48]),c_0_83]),c_0_16]),c_0_38]) ).
cnf(c_0_117,negated_conjecture,
join(converse(zero),join(X1,converse(complement(join(complement(esk3_0),complement(join(esk3_0,complement(zero)))))))) = join(converse(esk3_0),X1),
inference(rw,[status(thm)],[c_0_111,c_0_53]) ).
cnf(c_0_118,negated_conjecture,
join(esk3_0,join(complement(complement(join(complement(esk3_0),complement(join(esk3_0,complement(zero)))))),X1)) = join(zero,join(zero,join(complement(zero),X1))),
inference(rw,[status(thm)],[c_0_112,c_0_53]) ).
cnf(c_0_119,negated_conjecture,
join(zero,join(complement(join(complement(esk3_0),complement(join(esk3_0,complement(zero))))),X1)) = join(esk3_0,X1),
inference(rw,[status(thm)],[c_0_44,c_0_53]) ).
cnf(c_0_120,negated_conjecture,
join(converse(esk3_0),join(converse(esk3_0),converse(complement(esk3_0)))) = join(composition(converse(esk2_0),converse(esk1_0)),join(converse(esk3_0),converse(complement(esk3_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)],[c_0_113,c_0_114]),c_0_48]),c_0_16]),c_0_94]),c_0_38]),c_0_99]),c_0_38]) ).
cnf(c_0_121,negated_conjecture,
join(composition(converse(esk2_0),converse(esk1_0)),join(converse(esk3_0),converse(complement(esk3_0)))) = join(converse(esk3_0),converse(complement(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_115]),c_0_38]),c_0_99]),c_0_38]) ).
cnf(c_0_122,negated_conjecture,
join(zero,complement(join(zero,join(complement(esk3_0),complement(esk3_0))))) = esk3_0,
inference(rw,[status(thm)],[c_0_76,c_0_81]) ).
cnf(c_0_123,plain,
join(X1,join(zero,complement(X1))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_100,c_0_55]),c_0_48]),c_0_16]) ).
cnf(c_0_124,plain,
join(zero,complement(join(X1,X1))) = complement(X1),
inference(rw,[status(thm)],[c_0_33,c_0_48]) ).
cnf(c_0_125,negated_conjecture,
join(converse(zero),join(converse(complement(esk3_0)),converse(complement(zero)))) = join(composition(converse(esk2_0),converse(esk1_0)),join(converse(esk3_0),converse(complement(esk3_0)))),
inference(rw,[status(thm)],[c_0_116,c_0_94]) ).
cnf(c_0_126,negated_conjecture,
join(converse(esk3_0),join(converse(zero),X1)) = join(converse(esk3_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_63]),c_0_48]),c_0_16]),c_0_89]),c_0_48]),c_0_68]) ).
cnf(c_0_127,negated_conjecture,
join(zero,join(zero,join(complement(zero),X1))) = join(esk3_0,join(zero,join(complement(esk3_0),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_48]),c_0_35]),c_0_63]),c_0_48]),c_0_38]) ).
cnf(c_0_128,negated_conjecture,
join(esk3_0,join(zero,X1)) = join(esk3_0,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_63]),c_0_48]),c_0_16]),c_0_89]),c_0_48]),c_0_38]) ).
cnf(c_0_129,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(pm,[status(thm)],[c_0_68,c_0_16]) ).
cnf(c_0_130,negated_conjecture,
join(converse(esk3_0),join(converse(esk3_0),converse(complement(esk3_0)))) = join(converse(esk3_0),converse(complement(esk3_0))),
inference(rw,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_131,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(X2,complement(X1)))) = X1,
inference(pm,[status(thm)],[c_0_16,c_0_57]) ).
cnf(c_0_132,negated_conjecture,
join(complement(esk3_0),complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_106,c_0_122]),c_0_35]),c_0_16]),c_0_55]) ).
cnf(c_0_133,plain,
join(X1,complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_123,c_0_124]),c_0_35]),c_0_55]) ).
cnf(c_0_134,negated_conjecture,
join(converse(esk3_0),join(converse(complement(esk3_0)),converse(complement(esk3_0)))) = join(composition(converse(esk2_0),converse(esk1_0)),join(converse(esk3_0),converse(complement(esk3_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_115]),c_0_38]),c_0_38]),c_0_126]) ).
cnf(c_0_135,negated_conjecture,
join(zero,join(zero,join(complement(zero),X1))) = join(esk3_0,join(complement(esk3_0),X1)),
inference(rw,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_136,negated_conjecture,
join(X1,complement(esk3_0)) = join(zero,join(complement(esk3_0),X1)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_129,c_0_89]),c_0_38]) ).
cnf(c_0_137,negated_conjecture,
join(converse(zero),converse(complement(join(complement(esk3_0),complement(join(esk3_0,complement(zero))))))) = converse(esk3_0),
inference(rw,[status(thm)],[c_0_96,c_0_53]) ).
cnf(c_0_138,negated_conjecture,
join(complement(zero),converse(esk3_0)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_100,c_0_130]),c_0_35]),c_0_100]),c_0_16]) ).
cnf(c_0_139,negated_conjecture,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_131,c_0_132]),c_0_48]),c_0_16]),c_0_63]),c_0_48]),c_0_48]) ).
cnf(c_0_140,plain,
join(zero,complement(join(zero,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_133]),c_0_55]),c_0_48]),c_0_16]) ).
cnf(c_0_141,negated_conjecture,
join(converse(esk3_0),join(converse(complement(esk3_0)),converse(complement(esk3_0)))) = join(converse(esk3_0),converse(complement(esk3_0))),
inference(rw,[status(thm)],[c_0_134,c_0_121]) ).
cnf(c_0_142,negated_conjecture,
join(esk3_0,join(complement(esk3_0),complement(esk3_0))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_135,c_0_136]),c_0_132]),c_0_55]),c_0_55]),c_0_55]) ).
cnf(c_0_143,negated_conjecture,
join(converse(zero),converse(complement(join(zero,complement(esk3_0))))) = converse(esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_63]),c_0_48]),c_0_16]) ).
cnf(c_0_144,plain,
join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(X2),complement(join(X3,X1))))) = X2,
inference(pm,[status(thm)],[c_0_19,c_0_68]) ).
cnf(c_0_145,negated_conjecture,
join(esk3_0,join(complement(esk3_0),converse(esk3_0))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_135,c_0_138]),c_0_55]),c_0_55]) ).
cnf(c_0_146,negated_conjecture,
join(zero,join(X1,zero)) = join(X1,zero),
inference(pm,[status(thm)],[c_0_68,c_0_139]) ).
cnf(c_0_147,plain,
join(X1,zero) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_64,c_0_140]),c_0_133]),c_0_48]) ).
cnf(c_0_148,negated_conjecture,
join(complement(zero),converse(complement(esk3_0))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_106,c_0_141]),c_0_35]),c_0_106]),c_0_16]) ).
cnf(c_0_149,negated_conjecture,
join(complement(zero),X1) = join(esk3_0,join(complement(esk3_0),join(complement(esk3_0),X1))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_142]),c_0_35]) ).
cnf(c_0_150,negated_conjecture,
join(converse(esk3_0),converse(zero)) = converse(esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_81]),c_0_16]) ).
fof(c_0_151,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_152,negated_conjecture,
join(zero,complement(join(complement(esk3_0),complement(join(esk3_0,converse(esk3_0)))))) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_144,c_0_145]),c_0_48]),c_0_16]) ).
cnf(c_0_153,negated_conjecture,
join(zero,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147]),c_0_147]) ).
cnf(c_0_154,negated_conjecture,
join(esk3_0,join(complement(esk3_0),join(complement(esk3_0),converse(complement(esk3_0))))) = complement(zero),
inference(rw,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_155,negated_conjecture,
join(esk3_0,join(complement(esk3_0),join(complement(esk3_0),X1))) = join(esk3_0,join(complement(esk3_0),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_149]),c_0_38]),c_0_128]),c_0_38]),c_0_128]) ).
cnf(c_0_156,negated_conjecture,
join(complement(zero),converse(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_106,c_0_150]),c_0_55]),c_0_16]) ).
cnf(c_0_157,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_158,negated_conjecture,
complement(join(complement(esk3_0),complement(join(esk3_0,converse(esk3_0))))) = esk3_0,
inference(rw,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_159,negated_conjecture,
join(esk3_0,join(complement(esk3_0),converse(complement(esk3_0)))) = complement(zero),
inference(rw,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_160,negated_conjecture,
join(zero,converse(complement(zero))) = converse(complement(zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_156]),c_0_157]),c_0_16]) ).
cnf(c_0_161,plain,
join(converse(complement(join(complement(X1),X2))),converse(complement(join(complement(X1),complement(X2))))) = converse(X1),
inference(pm,[status(thm)],[c_0_67,c_0_19]) ).
cnf(c_0_162,negated_conjecture,
join(zero,join(X1,complement(join(complement(esk3_0),complement(complement(composition(esk1_0,esk2_0))))))) = join(esk3_0,X1),
inference(pm,[status(thm)],[c_0_52,c_0_16]) ).
cnf(c_0_163,plain,
complement(join(X1,X1)) = complement(X1),
inference(rw,[status(thm)],[c_0_124,c_0_153]) ).
cnf(c_0_164,negated_conjecture,
join(complement(esk3_0),complement(join(esk3_0,converse(esk3_0)))) = complement(esk3_0),
inference(pm,[status(thm)],[c_0_48,c_0_158]) ).
cnf(c_0_165,negated_conjecture,
join(zero,join(complement(esk3_0),join(converse(esk3_0),converse(complement(esk3_0))))) = join(converse(esk3_0),converse(complement(esk3_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(pm,[status(thm)],[c_0_67,c_0_159]),c_0_115]),c_0_67]),c_0_157]),c_0_136]),c_0_38]),c_0_38]) ).
cnf(c_0_166,negated_conjecture,
join(zero,join(converse(esk3_0),converse(complement(esk3_0)))) = join(converse(esk3_0),converse(complement(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_115]),c_0_115]) ).
cnf(c_0_167,negated_conjecture,
join(esk3_0,join(converse(esk3_0),converse(complement(esk3_0)))) = join(converse(esk3_0),converse(complement(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_145]),c_0_115]),c_0_67]),c_0_157]),c_0_16]),c_0_38]) ).
cnf(c_0_168,plain,
join(zero,complement(join(complement(zero),complement(join(zero,zero))))) = join(zero,zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_57,c_0_26]),c_0_23]),c_0_16]) ).
cnf(c_0_169,plain,
join(converse(complement(join(X1,complement(X2)))),converse(complement(join(complement(X2),complement(X1))))) = converse(X2),
inference(pm,[status(thm)],[c_0_161,c_0_16]) ).
cnf(c_0_170,negated_conjecture,
join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(composition(esk1_0,esk2_0),complement(join(complement(zero),composition(esk1_0,esk2_0)))))) = join(complement(zero),composition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_43,c_0_91]),c_0_16]) ).
cnf(c_0_171,negated_conjecture,
join(zero,complement(composition(esk1_0,esk2_0))) = join(esk3_0,complement(join(esk3_0,complement(complement(composition(esk1_0,esk2_0)))))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_162,c_0_28]),c_0_16]) ).
cnf(c_0_172,negated_conjecture,
join(composition(esk1_0,esk2_0),complement(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))))) = join(zero,join(zero,complement(zero))),
inference(pm,[status(thm)],[c_0_54,c_0_29]) ).
cnf(c_0_173,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_163]),c_0_163]),c_0_19]) ).
cnf(c_0_174,negated_conjecture,
join(converse(complement(esk3_0)),converse(complement(join(esk3_0,converse(esk3_0))))) = converse(complement(esk3_0)),
inference(pm,[status(thm)],[c_0_67,c_0_164]) ).
cnf(c_0_175,negated_conjecture,
join(esk3_0,complement(join(converse(esk3_0),converse(complement(esk3_0))))) = esk3_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(pm,[status(thm)],[c_0_144,c_0_165]),c_0_35]),c_0_16]),c_0_38]),c_0_166]),c_0_56]),c_0_48]),c_0_167]) ).
cnf(c_0_176,plain,
join(converse(zero),converse(complement(join(complement(zero),complement(join(zero,zero)))))) = join(converse(zero),converse(zero)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_168]),c_0_67]) ).
cnf(c_0_177,plain,
join(converse(zero),converse(complement(join(complement(zero),complement(zero))))) = converse(zero),
inference(pm,[status(thm)],[c_0_169,c_0_23]) ).
cnf(c_0_178,negated_conjecture,
join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(zero,complement(join(esk3_0,complement(join(esk3_0,complement(complement(composition(esk1_0,esk2_0)))))))))) = join(complement(zero),composition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_56]),c_0_171]) ).
cnf(c_0_179,negated_conjecture,
join(complement(join(zero,join(zero,complement(zero)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))))))) = complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_57,c_0_172]),c_0_16]) ).
cnf(c_0_180,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_173]),c_0_35]),c_0_173]) ).
cnf(c_0_181,negated_conjecture,
join(converse(complement(esk3_0)),join(complement(converse(complement(esk3_0))),converse(complement(join(esk3_0,converse(esk3_0)))))) = complement(zero),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_100,c_0_174]),c_0_16]) ).
cnf(c_0_182,negated_conjecture,
join(converse(esk3_0),converse(complement(esk3_0))) = complement(zero),
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(pm,[status(thm)],[c_0_57,c_0_175]),c_0_56]),c_0_48]),c_0_35]),c_0_16]),c_0_38]),c_0_167]),c_0_35]),c_0_100]) ).
cnf(c_0_183,plain,
join(converse(zero),converse(zero)) = converse(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_139]),c_0_177]) ).
cnf(c_0_184,negated_conjecture,
join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(zero,complement(join(esk3_0,complement(join(esk3_0,composition(esk1_0,esk2_0)))))))) = join(complement(zero),composition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_178,c_0_48]) ).
cnf(c_0_185,negated_conjecture,
join(esk3_0,complement(join(esk3_0,composition(esk1_0,esk2_0)))) = join(esk3_0,complement(composition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_114]),c_0_48]),c_0_16]),c_0_171]),c_0_48]) ).
cnf(c_0_186,negated_conjecture,
join(zero,complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))))))) = complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_36]),c_0_36]),c_0_41]) ).
cnf(c_0_187,plain,
join(X1,join(X2,join(X3,X1))) = join(X1,join(X2,X3)),
inference(pm,[status(thm)],[c_0_180,c_0_68]) ).
cnf(c_0_188,negated_conjecture,
join(complement(esk3_0),join(complement(join(esk3_0,converse(esk3_0))),converse(complement(converse(complement(esk3_0)))))) = complement(zero),
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(pm,[status(thm)],[c_0_67,c_0_181]),c_0_115]),c_0_182]),c_0_157]),c_0_67]),c_0_157]),c_0_16]) ).
cnf(c_0_189,plain,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = complement(zero),
inference(rw,[status(thm)],[c_0_32,c_0_36]) ).
cnf(c_0_190,plain,
join(zero,complement(converse(zero))) = complement(converse(zero)),
inference(pm,[status(thm)],[c_0_124,c_0_183]) ).
cnf(c_0_191,negated_conjecture,
join(complement(composition(esk1_0,esk2_0)),complement(join(esk3_0,complement(composition(esk1_0,esk2_0))))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_114]),c_0_185]),c_0_47]),c_0_16]) ).
cnf(c_0_192,negated_conjecture,
join(zero,complement(join(esk3_0,join(complement(composition(esk1_0,esk2_0)),complement(composition(esk1_0,esk2_0)))))) = complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_48]),c_0_38]) ).
cnf(c_0_193,negated_conjecture,
join(complement(esk3_0),converse(complement(converse(complement(esk3_0))))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_187,c_0_188]),c_0_133]),c_0_164]),c_0_16]) ).
cnf(c_0_194,plain,
join(converse(zero),complement(join(zero,converse(zero)))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_189,c_0_190]),c_0_48]),c_0_48]) ).
cnf(c_0_195,negated_conjecture,
join(converse(esk3_0),converse(complement(join(esk3_0,complement(complement(composition(esk1_0,esk2_0))))))) = join(converse(zero),converse(complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_171]),c_0_67]) ).
cnf(c_0_196,negated_conjecture,
join(converse(complement(composition(esk1_0,esk2_0))),converse(complement(join(complement(zero),composition(esk1_0,esk2_0))))) = join(converse(esk3_0),converse(complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_91]),c_0_67]) ).
cnf(c_0_197,negated_conjecture,
complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))) = composition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_191]),c_0_48]),c_0_48]),c_0_38]),c_0_192]) ).
cnf(c_0_198,plain,
join(converse(X1),converse(complement(join(complement(X1),X2)))) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_180,c_0_161]),c_0_161]),c_0_16]) ).
cnf(c_0_199,plain,
join(converse(X1),converse(complement(join(X2,complement(X1))))) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_180,c_0_169]),c_0_169]),c_0_16]) ).
cnf(c_0_200,negated_conjecture,
complement(join(complement(esk3_0),complement(converse(complement(converse(complement(esk3_0))))))) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_193]),c_0_48]),c_0_153]) ).
cnf(c_0_201,plain,
join(zero,converse(complement(join(zero,converse(zero))))) = join(converse(esk3_0),converse(complement(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_194]),c_0_115]),c_0_157]) ).
cnf(c_0_202,negated_conjecture,
join(converse(esk3_0),converse(complement(join(esk3_0,composition(esk1_0,esk2_0))))) = join(converse(zero),converse(complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[c_0_195,c_0_48]) ).
cnf(c_0_203,negated_conjecture,
join(converse(zero),converse(complement(composition(esk1_0,esk2_0)))) = join(converse(esk3_0),converse(complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_114]),c_0_48]),c_0_16]) ).
cnf(c_0_204,negated_conjecture,
join(esk3_0,complement(composition(esk1_0,esk2_0))) = complement(composition(esk1_0,esk2_0)),
inference(pm,[status(thm)],[c_0_48,c_0_197]) ).
cnf(c_0_205,plain,
join(converse(complement(X1)),converse(complement(join(X1,X2)))) = converse(complement(X1)),
inference(pm,[status(thm)],[c_0_198,c_0_48]) ).
cnf(c_0_206,negated_conjecture,
join(converse(esk3_0),complement(converse(complement(esk3_0)))) = complement(converse(complement(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_199,c_0_200]),c_0_157]),c_0_157]),c_0_16]) ).
cnf(c_0_207,plain,
join(converse(complement(join(complement(X1),complement(X2)))),converse(complement(join(X2,complement(X1))))) = converse(X1),
inference(pm,[status(thm)],[c_0_16,c_0_169]) ).
cnf(c_0_208,negated_conjecture,
join(complement(zero),X1) = join(esk3_0,join(complement(esk3_0),X1)),
inference(rw,[status(thm)],[c_0_149,c_0_155]) ).
cnf(c_0_209,plain,
join(zero,converse(complement(join(zero,converse(zero))))) = complement(zero),
inference(rw,[status(thm)],[c_0_201,c_0_182]) ).
cnf(c_0_210,negated_conjecture,
join(converse(esk3_0),converse(complement(join(esk3_0,composition(esk1_0,esk2_0))))) = join(converse(esk3_0),converse(complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_211,negated_conjecture,
join(converse(esk3_0),converse(complement(composition(esk1_0,esk2_0)))) = converse(complement(composition(esk1_0,esk2_0))),
inference(pm,[status(thm)],[c_0_67,c_0_204]) ).
cnf(c_0_212,negated_conjecture,
join(complement(esk3_0),converse(complement(converse(esk3_0)))) = converse(complement(converse(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_205,c_0_206]),c_0_48]),c_0_157]),c_0_16]) ).
cnf(c_0_213,plain,
join(zero,converse(complement(join(esk3_0,join(complement(esk3_0),complement(converse(zero))))))) = zero,
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(pm,[status(thm)],[c_0_207,c_0_190]),c_0_48]),c_0_157]),c_0_157]),c_0_16]),c_0_208]),c_0_16]) ).
cnf(c_0_214,plain,
converse(complement(converse(zero))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_153]),c_0_153]) ).
cnf(c_0_215,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_180,c_0_57]),c_0_57]),c_0_16]) ).
cnf(c_0_216,negated_conjecture,
join(converse(esk3_0),converse(complement(join(esk3_0,composition(esk1_0,esk2_0))))) = converse(complement(composition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_217,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_180,c_0_19]),c_0_19]),c_0_16]) ).
cnf(c_0_218,negated_conjecture,
join(converse(complement(converse(complement(converse(esk3_0))))),converse(complement(join(complement(esk3_0),complement(converse(complement(converse(esk3_0)))))))) = converse(esk3_0),
inference(pm,[status(thm)],[c_0_161,c_0_212]) ).
cnf(c_0_219,plain,
join(X1,converse(complement(join(X2,complement(converse(X1)))))) = X1,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_199,c_0_157]),c_0_157]) ).
cnf(c_0_220,plain,
converse(complement(join(esk3_0,join(complement(esk3_0),complement(converse(zero)))))) = zero,
inference(rw,[status(thm)],[c_0_213,c_0_153]) ).
cnf(c_0_221,plain,
complement(converse(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_157,c_0_214]),c_0_115]),c_0_182]) ).
cnf(c_0_222,plain,
join(complement(X1),complement(join(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_74,c_0_215]),c_0_48]),c_0_48]),c_0_48]),c_0_16]),c_0_55]),c_0_35]),c_0_133]),c_0_133]),c_0_48]),c_0_16]),c_0_153]),c_0_48]) ).
cnf(c_0_223,negated_conjecture,
join(converse(esk3_0),converse(complement(converse(complement(converse(esk3_0)))))) = converse(esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_205,c_0_212]),c_0_48]),c_0_48]) ).
cnf(c_0_224,negated_conjecture,
join(converse(esk3_0),join(complement(converse(complement(composition(esk1_0,esk2_0)))),converse(complement(join(esk3_0,composition(esk1_0,esk2_0)))))) = complement(zero),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_100,c_0_216]),c_0_16]) ).
cnf(c_0_225,negated_conjecture,
join(esk3_0,complement(converse(complement(converse(esk3_0))))) = esk3_0,
inference(pm,[status(thm)],[c_0_217,c_0_212]) ).
cnf(c_0_226,negated_conjecture,
join(complement(converse(esk3_0)),converse(complement(converse(complement(converse(esk3_0)))))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_100,c_0_218]),c_0_16]),c_0_219]),c_0_16]) ).
cnf(c_0_227,plain,
converse(zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_221]),c_0_133]),c_0_133]),c_0_48]) ).
cnf(c_0_228,negated_conjecture,
join(complement(converse(esk3_0)),complement(converse(complement(converse(complement(converse(esk3_0))))))) = complement(converse(complement(converse(complement(converse(esk3_0)))))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_222,c_0_223]),c_0_16]) ).
cnf(c_0_229,negated_conjecture,
join(esk3_0,join(complement(join(esk3_0,composition(esk1_0,esk2_0))),converse(complement(converse(complement(composition(esk1_0,esk2_0))))))) = complement(zero),
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(pm,[status(thm)],[c_0_67,c_0_224]),c_0_115]),c_0_182]),c_0_157]),c_0_67]),c_0_157]),c_0_16]) ).
cnf(c_0_230,negated_conjecture,
join(converse(complement(esk3_0)),converse(complement(join(complement(esk3_0),complement(converse(complement(converse(esk3_0)))))))) = complement(converse(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_207,c_0_225]),c_0_157]),c_0_16]),c_0_16]) ).
cnf(c_0_231,negated_conjecture,
complement(converse(complement(converse(esk3_0)))) = esk3_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(pm,[status(thm)],[c_0_161,c_0_226]),c_0_48]),c_0_227]),c_0_228]),c_0_48]),c_0_157]),c_0_153]),c_0_157]) ).
cnf(c_0_232,negated_conjecture,
join(complement(composition(esk1_0,esk2_0)),converse(complement(converse(complement(composition(esk1_0,esk2_0)))))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_187,c_0_229]),c_0_133]),c_0_185]),c_0_204]),c_0_16]) ).
cnf(c_0_233,negated_conjecture,
converse(complement(esk3_0)) = complement(converse(esk3_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)],[c_0_230,c_0_231]),c_0_16]),c_0_55]),c_0_48]),c_0_227]),c_0_16]),c_0_153]) ).
cnf(c_0_234,negated_conjecture,
complement(join(complement(composition(esk1_0,esk2_0)),complement(converse(complement(converse(complement(composition(esk1_0,esk2_0)))))))) = composition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_232]),c_0_48]),c_0_153]) ).
cnf(c_0_235,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_48]),c_0_48]) ).
cnf(c_0_236,plain,
join(converse(X1),converse(complement(X1))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_55]),c_0_115]),c_0_233]),c_0_55]) ).
cnf(c_0_237,negated_conjecture,
join(composition(converse(esk2_0),converse(esk1_0)),complement(converse(complement(composition(esk1_0,esk2_0))))) = complement(converse(complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_199,c_0_234]),c_0_157]),c_0_83]),c_0_157]),c_0_16]) ).
fof(c_0_238,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
cnf(c_0_239,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(pm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_240,plain,
join(converse(complement(X1)),converse(complement(join(X2,X1)))) = converse(complement(X1)),
inference(pm,[status(thm)],[c_0_199,c_0_48]) ).
cnf(c_0_241,plain,
complement(join(converse(X1),complement(converse(complement(X1))))) = complement(converse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_235,c_0_236]),c_0_48]),c_0_153]),c_0_16]) ).
cnf(c_0_242,negated_conjecture,
join(complement(esk3_0),join(complement(composition(esk1_0,esk2_0)),X1)) = join(esk3_0,join(complement(esk3_0),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_149]),c_0_38]),c_0_128]),c_0_155]) ).
cnf(c_0_243,negated_conjecture,
join(complement(composition(esk1_0,esk2_0)),converse(complement(composition(converse(esk2_0),converse(esk1_0))))) = converse(complement(composition(converse(esk2_0),converse(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_205,c_0_237]),c_0_48]),c_0_157]),c_0_16]) ).
cnf(c_0_244,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_245,plain,
join(complement(join(X1,X2)),complement(join(complement(X1),X2))) = complement(X2),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_239,c_0_48]),c_0_48]) ).
cnf(c_0_246,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_240,c_0_241]),c_0_48]),c_0_157]),c_0_48]),c_0_157]) ).
cnf(c_0_247,plain,
join(X1,converse(complement(converse(X1)))) = complement(zero),
inference(pm,[status(thm)],[c_0_236,c_0_157]) ).
cnf(c_0_248,negated_conjecture,
join(esk3_0,join(complement(esk3_0),converse(complement(composition(converse(esk2_0),converse(esk1_0)))))) = join(complement(esk3_0),converse(complement(composition(converse(esk2_0),converse(esk1_0))))),
inference(pm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_249,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(pm,[status(thm)],[c_0_68,c_0_180]) ).
cnf(c_0_250,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_244,c_0_16]) ).
cnf(c_0_251,plain,
complement(converse(complement(converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_245,c_0_246]),c_0_48]),c_0_48]),c_0_247]),c_0_48]),c_0_147]) ).
cnf(c_0_252,negated_conjecture,
join(complement(esk3_0),converse(complement(composition(converse(esk2_0),converse(esk1_0))))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_187,c_0_248]),c_0_249]),c_0_55]),c_0_133]),c_0_16]) ).
cnf(c_0_253,plain,
join(converse(complement(X1)),composition(converse(complement(composition(X2,X1))),X2)) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_250]),c_0_83]),c_0_157]) ).
cnf(c_0_254,plain,
converse(complement(converse(X1))) = complement(X1),
inference(pm,[status(thm)],[c_0_48,c_0_251]) ).
fof(c_0_255,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_256,negated_conjecture,
complement(join(complement(esk3_0),complement(converse(complement(composition(converse(esk2_0),converse(esk1_0))))))) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_252]),c_0_48]),c_0_153]) ).
cnf(c_0_257,plain,
join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X1),complement(X2))))) = join(X3,X1),
inference(pm,[status(thm)],[c_0_38,c_0_19]) ).
cnf(c_0_258,plain,
join(converse(complement(X1)),join(composition(converse(complement(composition(X2,X1))),X2),X3)) = join(converse(complement(X1)),X3),
inference(pm,[status(thm)],[c_0_35,c_0_253]) ).
cnf(c_0_259,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(pm,[status(thm)],[c_0_157,c_0_254]) ).
cnf(c_0_260,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_261,negated_conjecture,
join(complement(composition(converse(esk2_0),converse(esk1_0))),converse(esk3_0)) = complement(composition(converse(esk2_0),converse(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_199,c_0_256]),c_0_157]),c_0_157]) ).
cnf(c_0_262,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_257,c_0_215]),c_0_16]),c_0_56]) ).
cnf(c_0_263,plain,
join(complement(X1),complement(join(X1,X2))) = 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_74,c_0_217]),c_0_48]),c_0_48]),c_0_48]),c_0_16]),c_0_55]),c_0_35]),c_0_133]),c_0_133]),c_0_48]),c_0_16]),c_0_153]),c_0_48]) ).
cnf(c_0_264,plain,
join(complement(converse(X1)),join(composition(complement(composition(converse(X1),converse(X2))),X2),X3)) = join(complement(converse(X1)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_259]),c_0_259]),c_0_83]),c_0_259]) ).
cnf(c_0_265,negated_conjecture,
join(composition(complement(composition(converse(esk2_0),converse(esk1_0))),X1),composition(converse(esk3_0),X1)) = composition(complement(composition(converse(esk2_0),converse(esk1_0))),X1),
inference(pm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_266,plain,
join(complement(converse(X1)),composition(complement(composition(converse(X1),converse(X2))),X2)) = complement(converse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_259]),c_0_259]),c_0_83]),c_0_259]) ).
cnf(c_0_267,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_239,c_0_262]),c_0_263]),c_0_48]),c_0_16]) ).
cnf(c_0_268,negated_conjecture,
join(complement(converse(esk2_0)),composition(converse(esk3_0),esk1_0)) = complement(converse(esk2_0)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_264,c_0_265]),c_0_266]) ).
cnf(c_0_269,negated_conjecture,
meet(esk2_0,composition(converse(esk1_0),esk3_0)) != zero,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_270,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(pm,[status(thm)],[c_0_267,c_0_16]) ).
cnf(c_0_271,negated_conjecture,
join(complement(esk2_0),composition(converse(esk1_0),esk3_0)) = complement(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_268]),c_0_254]),c_0_254]),c_0_83]),c_0_157]) ).
cnf(c_0_272,negated_conjecture,
complement(join(complement(esk2_0),complement(composition(converse(esk1_0),esk3_0)))) != zero,
inference(rw,[status(thm)],[c_0_269,c_0_18]) ).
cnf(c_0_273,negated_conjecture,
join(complement(esk2_0),complement(composition(converse(esk1_0),esk3_0))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_270,c_0_271]),c_0_48]),c_0_16]),c_0_55]) ).
cnf(c_0_274,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_273]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL010+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.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 09:24:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.43/46.42 eprover: CPU time limit exceeded, terminating
% 0.43/46.42 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.43/46.42
% 0.43/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/53.65 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.48/53.65
% 0.48/53.65 # Failure: Resource limit exceeded (time)
% 0.48/53.65 # OLD status Res
% 0.48/53.65 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.48/53.65 # Preprocessing time : 0.014 s
% 0.48/53.65 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.48/53.65
% 0.48/53.65 # Failure: Resource limit exceeded (time)
% 0.48/53.65 # OLD status Res
% 0.48/53.65 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.48/53.65 # Preprocessing time : 0.007 s
% 0.48/53.65 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.48/53.65 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.48/53.65 # Preprocessing time : 0.008 s
% 0.48/53.65
% 0.48/53.65 # Proof found!
% 0.48/53.65 # SZS status Theorem
% 0.48/53.65 # SZS output start CNFRefutation
% See solution above
% 0.48/53.66 # Proof object total steps : 275
% 0.48/53.66 # Proof object clause steps : 252
% 0.48/53.66 # Proof object formula steps : 23
% 0.48/53.66 # Proof object conjectures : 159
% 0.48/53.66 # Proof object clause conjectures : 156
% 0.48/53.66 # Proof object formula conjectures : 3
% 0.48/53.66 # Proof object initial clauses used : 12
% 0.48/53.66 # Proof object initial formulas used : 11
% 0.48/53.66 # Proof object generating inferences : 162
% 0.48/53.66 # Proof object simplifying inferences : 503
% 0.48/53.66 # Training examples: 0 positive, 0 negative
% 0.48/53.66 # Parsed axioms : 14
% 0.48/53.66 # Removed by relevancy pruning/SinE : 2
% 0.48/53.66 # Initial clauses : 13
% 0.48/53.66 # Removed in clause preprocessing : 1
% 0.48/53.66 # Initial clauses in saturation : 12
% 0.48/53.66 # Processed clauses : 12075
% 0.48/53.66 # ...of these trivial : 7617
% 0.48/53.66 # ...subsumed : 1963
% 0.48/53.66 # ...remaining for further processing : 2495
% 0.48/53.66 # Other redundant clauses eliminated : 0
% 0.48/53.66 # Clauses deleted for lack of memory : 84981
% 0.48/53.66 # Backward-subsumed : 0
% 0.48/53.66 # Backward-rewritten : 1641
% 0.48/53.66 # Generated clauses : 373239
% 0.48/53.66 # ...of the previous two non-trivial : 304484
% 0.48/53.66 # Contextual simplify-reflections : 0
% 0.48/53.66 # Paramodulations : 373239
% 0.48/53.66 # Factorizations : 0
% 0.48/53.66 # Equation resolutions : 0
% 0.48/53.66 # Current number of processed clauses : 854
% 0.48/53.66 # Positive orientable unit clauses : 838
% 0.48/53.66 # Positive unorientable unit clauses: 16
% 0.48/53.66 # Negative unit clauses : 0
% 0.48/53.66 # Non-unit-clauses : 0
% 0.48/53.66 # Current number of unprocessed clauses: 90619
% 0.48/53.66 # ...number of literals in the above : 90619
% 0.48/53.66 # Current number of archived formulas : 0
% 0.48/53.66 # Current number of archived clauses : 1642
% 0.48/53.66 # Clause-clause subsumption calls (NU) : 0
% 0.48/53.66 # Rec. Clause-clause subsumption calls : 0
% 0.48/53.66 # Non-unit clause-clause subsumptions : 0
% 0.48/53.66 # Unit Clause-clause subsumption calls : 1242
% 0.48/53.66 # Rewrite failures with RHS unbound : 11882
% 0.48/53.66 # BW rewrite match attempts : 71791
% 0.48/53.66 # BW rewrite match successes : 6036
% 0.48/53.66 # Condensation attempts : 0
% 0.48/53.66 # Condensation successes : 0
% 0.48/53.66 # Termbank termtop insertions : 11410244
% 0.48/53.66
% 0.48/53.66 # -------------------------------------------------
% 0.48/53.66 # User time : 6.204 s
% 0.48/53.66 # System time : 0.115 s
% 0.48/53.66 # Total time : 6.319 s
% 0.48/53.66 # Maximum resident set size: 161056 pages
% 0.48/69.44 eprover: CPU time limit exceeded, terminating
% 0.48/69.45 eprover: CPU time limit exceeded, terminating
% 0.48/69.46 eprover: CPU time limit exceeded, terminating
% 0.48/69.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.46 eprover: No such file or directory
% 0.48/69.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.46 eprover: No such file or directory
% 0.48/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.47 eprover: No such file or directory
% 0.48/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.47 eprover: No such file or directory
% 0.48/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.47 eprover: No such file or directory
% 0.48/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.47 eprover: No such file or directory
% 0.48/69.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.47 eprover: No such file or directory
% 0.48/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.48 eprover: No such file or directory
% 0.48/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.48 eprover: No such file or directory
% 0.48/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/69.48 eprover: No such file or directory
% 0.48/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.48 eprover: No such file or directory
% 0.48/69.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.48 eprover: No such file or directory
% 0.48/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/69.49 eprover: No such file or directory
% 0.48/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.49 eprover: No such file or directory
% 0.48/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.49 eprover: No such file or directory
% 0.48/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/69.49 eprover: No such file or directory
% 0.48/69.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.49 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/69.50 eprover: No such file or directory
% 0.48/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/69.51 eprover: No such file or directory
% 0.48/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/69.51 eprover: No such file or directory
% 0.48/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/69.52 eprover: No such file or directory
% 0.48/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/69.52 eprover: No such file or directory
%------------------------------------------------------------------------------