TSTP Solution File: REL027+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL027+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 19:19:33 EDT 2022
% Result : Theorem 0.25s 2.46s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 14
% Syntax : Number of formulae : 220 ( 217 unt; 0 def)
% Number of atoms : 223 ( 222 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 8 ( 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 : 223 ( 9 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
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(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(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(def_top,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(def_zero,axiom,
! [X1] : zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
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(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(goals,conjecture,
! [X1] :
( join(X1,one) = one
=> meet(complement(composition(X1,top)),one) = meet(complement(X1),one) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).
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(c_0_14,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_15,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_16,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X2] : composition(X2,one) = X2,
inference(variable_rename,[status(thm)],[composition_identity]) ).
cnf(c_0_19,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,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_22,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_23,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17]) ).
fof(c_0_24,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_25,plain,
! [X2] : top = join(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_top]) ).
cnf(c_0_26,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_20,c_0_23]) ).
cnf(c_0_29,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_23,c_0_28]) ).
fof(c_0_33,plain,
! [X2] : zero = meet(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_34,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
fof(c_0_35,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_36,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_28]),c_0_32]) ).
fof(c_0_38,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]) ).
cnf(c_0_39,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_43,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_30]) ).
cnf(c_0_44,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_41,c_0_17]) ).
cnf(c_0_47,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_44,c_0_27]) ).
cnf(c_0_49,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_45,c_0_30]) ).
cnf(c_0_50,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_46,c_0_30]) ).
cnf(c_0_51,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_52,plain,
join(zero,complement(join(complement(X1),complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_30]),c_0_49]),c_0_27]) ).
cnf(c_0_53,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,plain,
join(zero,complement(join(zero,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_47]),c_0_49]),c_0_27]) ).
cnf(c_0_55,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[c_0_52,c_0_37]) ).
fof(c_0_56,negated_conjecture,
~ ! [X1] :
( join(X1,one) = one
=> meet(complement(composition(X1,top)),one) = meet(complement(X1),one) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_57,plain,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = top,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_50,c_0_53]) ).
cnf(c_0_59,plain,
join(zero,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_60,negated_conjecture,
( join(esk1_0,one) = one
& meet(complement(composition(esk1_0,top)),one) != meet(complement(esk1_0),one) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
cnf(c_0_61,plain,
join(zero,complement(join(zero,complement(converse(complement(converse(zero))))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_49]) ).
cnf(c_0_62,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_59]),c_0_59]) ).
cnf(c_0_63,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_64,plain,
join(zero,composition(converse(X1),complement(composition(X1,top)))) = zero,
inference(spm,[status(thm)],[c_0_31,c_0_49]) ).
cnf(c_0_65,plain,
converse(complement(converse(zero))) = top,
inference(rw,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_66,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_29]) ).
cnf(c_0_67,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_37,c_0_62]) ).
fof(c_0_68,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_69,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_63,c_0_27]) ).
cnf(c_0_70,plain,
join(zero,composition(top,complement(composition(top,top)))) = zero,
inference(spm,[status(thm)],[c_0_64,c_0_53]) ).
cnf(c_0_71,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_59,c_0_62]) ).
cnf(c_0_72,plain,
complement(converse(zero)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_65]),c_0_53]) ).
cnf(c_0_73,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_32]),c_0_28]),c_0_49]),c_0_32]) ).
cnf(c_0_74,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_31,c_0_20]) ).
cnf(c_0_75,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_76,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_29]) ).
cnf(c_0_77,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_29,c_0_48]) ).
cnf(c_0_78,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_79,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_80,negated_conjecture,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_29,c_0_69]) ).
cnf(c_0_81,plain,
composition(top,complement(composition(top,top))) = zero,
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_82,plain,
converse(zero) = zero,
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_48,c_0_72]),c_0_51]),c_0_49]),c_0_51]),c_0_49]),c_0_73]) ).
cnf(c_0_83,plain,
join(complement(one),composition(converse(complement(X1)),X1)) = complement(one),
inference(spm,[status(thm)],[c_0_74,c_0_62]) ).
cnf(c_0_84,plain,
join(complement(X1),complement(join(complement(X1),join(X2,complement(join(complement(X2),complement(X1))))))) = join(complement(X2),complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_75]),c_0_76]),c_0_27]),c_0_27]) ).
cnf(c_0_85,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_27]),c_0_48]) ).
cnf(c_0_86,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_79,c_0_32]) ).
cnf(c_0_87,negated_conjecture,
join(one,complement(esk1_0)) = join(one,top),
inference(spm,[status(thm)],[c_0_80,c_0_30]) ).
fof(c_0_88,plain,
! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_89,plain,
composition(X1,complement(composition(top,top))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_81]),c_0_71]),c_0_51]),c_0_81]) ).
cnf(c_0_90,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_91,plain,
complement(zero) = top,
inference(rw,[status(thm)],[c_0_72,c_0_82]) ).
cnf(c_0_92,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_41,c_0_17]) ).
cnf(c_0_93,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(spm,[status(thm)],[c_0_83,c_0_20]) ).
cnf(c_0_94,plain,
join(complement(X1),complement(join(complement(X1),X2))) = join(complement(X2),complement(X1)),
inference(rw,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_95,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_69]),c_0_32]) ).
cnf(c_0_96,negated_conjecture,
join(one,complement(esk1_0)) = top,
inference(rw,[status(thm)],[c_0_87,c_0_47]) ).
cnf(c_0_97,plain,
join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) = complement(converse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_17]) ).
cnf(c_0_98,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_99,plain,
complement(composition(top,top)) = zero,
inference(spm,[status(thm)],[c_0_32,c_0_89]) ).
cnf(c_0_100,plain,
join(X1,zero) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_59]),c_0_62]),c_0_47]),c_0_49]) ).
cnf(c_0_101,plain,
converse(complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_27]),c_0_93]) ).
cnf(c_0_102,negated_conjecture,
join(complement(X1),complement(composition(esk1_0,complement(X1)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_30]),c_0_27]) ).
cnf(c_0_103,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(spm,[status(thm)],[c_0_41,c_0_28]) ).
cnf(c_0_104,plain,
join(complement(X1),complement(join(complement(join(complement(X1),X2)),join(complement(X1),complement(X2))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_48]),c_0_27]) ).
cnf(c_0_105,negated_conjecture,
complement(join(complement(one),complement(esk1_0))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_96]),c_0_49]),c_0_59]),c_0_27]) ).
cnf(c_0_106,plain,
join(complement(composition(converse(X1),X2)),composition(X3,complement(composition(converse(composition(X1,X3)),X2)))) = complement(composition(converse(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_19]),c_0_98]),c_0_19]) ).
cnf(c_0_107,plain,
composition(top,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_99]),c_0_100]) ).
cnf(c_0_108,plain,
join(X1,composition(top,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_86,c_0_47]) ).
cnf(c_0_109,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_110,plain,
converse(join(complement(one),X1)) = join(complement(one),converse(X1)),
inference(spm,[status(thm)],[c_0_41,c_0_101]) ).
cnf(c_0_111,negated_conjecture,
join(X1,complement(composition(esk1_0,X1))) = top,
inference(spm,[status(thm)],[c_0_102,c_0_62]) ).
cnf(c_0_112,negated_conjecture,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_69]),c_0_28]) ).
cnf(c_0_113,plain,
join(complement(X1),complement(join(complement(X1),join(complement(X2),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[c_0_104,c_0_66]) ).
cnf(c_0_114,negated_conjecture,
join(complement(one),complement(esk1_0)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_62,c_0_105]) ).
cnf(c_0_115,plain,
join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[c_0_29,c_0_31]) ).
cnf(c_0_116,plain,
composition(top,complement(composition(top,X1))) = complement(composition(top,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_53]),c_0_53]),c_0_108]),c_0_53]) ).
cnf(c_0_117,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[c_0_36,c_0_51]) ).
cnf(c_0_118,plain,
join(X1,composition(X1,top)) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_108]),c_0_109]),c_0_53]),c_0_109]),c_0_53]) ).
cnf(c_0_119,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_48,c_0_62]) ).
cnf(c_0_120,negated_conjecture,
join(complement(one),converse(complement(composition(esk1_0,complement(one))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_53]) ).
cnf(c_0_121,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_112]),c_0_32]) ).
cnf(c_0_122,negated_conjecture,
join(complement(one),complement(join(esk1_0,complement(one)))) = 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_113,c_0_114]),c_0_62]),c_0_62]),c_0_67]),c_0_27]) ).
cnf(c_0_123,plain,
join(complement(X1),join(complement(composition(top,X1)),X2)) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_53]),c_0_116]) ).
cnf(c_0_124,plain,
join(X1,composition(complement(X1),top)) = top,
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,negated_conjecture,
join(esk1_0,complement(join(esk1_0,complement(one)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_114]),c_0_62]),c_0_62]),c_0_27]) ).
cnf(c_0_126,negated_conjecture,
complement(join(complement(one),complement(converse(complement(composition(esk1_0,complement(one))))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_49]),c_0_71]),c_0_62]) ).
cnf(c_0_127,plain,
join(X1,composition(complement(one),X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_86,c_0_30]) ).
cnf(c_0_128,negated_conjecture,
join(X1,composition(X1,esk1_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_121]),c_0_17]),c_0_16]),c_0_17]) ).
cnf(c_0_129,negated_conjecture,
join(complement(one),join(complement(join(esk1_0,complement(one))),X1)) = join(complement(esk1_0),X1),
inference(spm,[status(thm)],[c_0_29,c_0_122]) ).
cnf(c_0_130,plain,
join(complement(X1),composition(top,composition(X1,top))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_47]),c_0_62]),c_0_98]) ).
cnf(c_0_131,plain,
complement(join(complement(X1),complement(join(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_117]),c_0_49]),c_0_62]),c_0_71]) ).
cnf(c_0_132,negated_conjecture,
join(esk1_0,join(complement(join(esk1_0,complement(one))),X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_29,c_0_125]) ).
cnf(c_0_133,negated_conjecture,
join(one,complement(join(one,X1))) = join(one,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_126]),c_0_27]) ).
cnf(c_0_134,negated_conjecture,
join(one,composition(complement(one),esk1_0)) = join(one,composition(top,esk1_0)),
inference(spm,[status(thm)],[c_0_80,c_0_127]) ).
cnf(c_0_135,negated_conjecture,
join(complement(X1),complement(composition(complement(X1),esk1_0))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_128]),c_0_30]),c_0_27]) ).
cnf(c_0_136,negated_conjecture,
join(complement(esk1_0),composition(top,composition(join(esk1_0,complement(one)),top))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_47]) ).
cnf(c_0_137,negated_conjecture,
complement(join(complement(esk1_0),complement(join(one,X1)))) = esk1_0,
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_138,plain,
join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
inference(spm,[status(thm)],[c_0_90,c_0_62]) ).
cnf(c_0_139,negated_conjecture,
join(one,complement(composition(complement(one),esk1_0))) = join(one,complement(composition(top,esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_133]) ).
cnf(c_0_140,negated_conjecture,
join(X1,complement(composition(X1,esk1_0))) = top,
inference(spm,[status(thm)],[c_0_135,c_0_62]) ).
cnf(c_0_141,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(top,composition(join(esk1_0,complement(one)),top))))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_136]),c_0_49]),c_0_71]),c_0_62]) ).
cnf(c_0_142,negated_conjecture,
join(complement(esk1_0),complement(join(one,X1))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_137]),c_0_29]),c_0_85]) ).
cnf(c_0_143,negated_conjecture,
complement(join(one,complement(composition(top,esk1_0)))) = composition(complement(one),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_138,c_0_139]),c_0_27]),c_0_140]),c_0_49]),c_0_100]),c_0_62]) ).
cnf(c_0_144,negated_conjecture,
join(esk1_0,complement(join(esk1_0,X1))) = join(esk1_0,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_141]),c_0_27]) ).
cnf(c_0_145,negated_conjecture,
join(complement(esk1_0),composition(complement(one),esk1_0)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,negated_conjecture,
join(esk1_0,complement(join(X1,esk1_0))) = join(esk1_0,complement(X1)),
inference(spm,[status(thm)],[c_0_144,c_0_27]) ).
cnf(c_0_147,negated_conjecture,
join(esk1_0,complement(composition(complement(one),esk1_0))) = complement(composition(complement(one),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_145]),c_0_62]),c_0_62]),c_0_146]) ).
cnf(c_0_148,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(spm,[status(thm)],[c_0_48,c_0_75]),c_0_62]),c_0_76]),c_0_27]) ).
cnf(c_0_149,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_67]) ).
cnf(c_0_150,negated_conjecture,
join(complement(composition(top,esk1_0)),composition(complement(one),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_119,c_0_147]),c_0_62]),c_0_62]),c_0_127]),c_0_27]) ).
cnf(c_0_151,negated_conjecture,
join(esk1_0,complement(converse(complement(converse(esk1_0))))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_58]),c_0_49]),c_0_100]) ).
cnf(c_0_152,plain,
join(complement(X1),complement(join(complement(X2),complement(X1)))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_94]),c_0_149]) ).
cnf(c_0_153,negated_conjecture,
join(X1,composition(complement(esk1_0),X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_86,c_0_96]) ).
cnf(c_0_154,negated_conjecture,
join(esk1_0,complement(composition(top,esk1_0))) = complement(composition(complement(one),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_150]),c_0_62]),c_0_62]),c_0_79]),c_0_47]) ).
cnf(c_0_155,negated_conjecture,
join(complement(esk1_0),converse(complement(converse(esk1_0)))) = converse(complement(converse(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_151]),c_0_152]),c_0_62]) ).
cnf(c_0_156,plain,
join(X1,complement(join(X1,X2))) = join(complement(X2),X1),
inference(spm,[status(thm)],[c_0_94,c_0_62]) ).
cnf(c_0_157,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_75,c_0_27]) ).
cnf(c_0_158,negated_conjecture,
join(esk1_0,complement(composition(complement(esk1_0),esk1_0))) = complement(composition(complement(one),esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_153]),c_0_154]) ).
cnf(c_0_159,negated_conjecture,
join(complement(converse(esk1_0)),converse(complement(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_155]),c_0_17]),c_0_27]) ).
cnf(c_0_160,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_58]),c_0_49]),c_0_100]),c_0_27]) ).
cnf(c_0_161,negated_conjecture,
composition(complement(esk1_0),esk1_0) = composition(complement(one),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_62]),c_0_140]),c_0_49]),c_0_100]) ).
cnf(c_0_162,plain,
complement(join(complement(X1),complement(converse(complement(converse(complement(X1))))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_58]),c_0_49]),c_0_71]) ).
cnf(c_0_163,negated_conjecture,
complement(converse(complement(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_159]),c_0_62]),c_0_62]),c_0_41]),c_0_27]),c_0_30]),c_0_53]),c_0_49]),c_0_100]) ).
cnf(c_0_164,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_75,c_0_62]) ).
cnf(c_0_165,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_160]),c_0_17]),c_0_17]) ).
cnf(c_0_166,negated_conjecture,
composition(join(complement(esk1_0),X1),esk1_0) = composition(join(complement(one),X1),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_161]),c_0_79]) ).
cnf(c_0_167,negated_conjecture,
converse(complement(esk1_0)) = complement(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_162,c_0_163]),c_0_17]),c_0_163]),c_0_41]),c_0_67]) ).
cnf(c_0_168,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_62]),c_0_27]),c_0_58]),c_0_49]),c_0_62]),c_0_71]),c_0_62]) ).
cnf(c_0_169,negated_conjecture,
composition(join(esk1_0,complement(one)),esk1_0) = composition(top,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_58]),c_0_167]),c_0_62]),c_0_17]),c_0_27]) ).
cnf(c_0_170,plain,
join(complement(X1),composition(top,complement(composition(top,X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_31,c_0_53]) ).
cnf(c_0_171,negated_conjecture,
join(one,converse(complement(converse(esk1_0)))) = join(one,converse(top)),
inference(spm,[status(thm)],[c_0_80,c_0_50]) ).
cnf(c_0_172,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_79,c_0_16]) ).
cnf(c_0_173,plain,
composition(converse(X1),complement(composition(X1,top))) = zero,
inference(rw,[status(thm)],[c_0_64,c_0_71]) ).
cnf(c_0_174,plain,
complement(converse(complement(X1))) = converse(X1),
inference(spm,[status(thm)],[c_0_168,c_0_17]) ).
cnf(c_0_175,negated_conjecture,
join(esk1_0,join(complement(one),complement(composition(top,esk1_0)))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_169]),c_0_29]) ).
cnf(c_0_176,plain,
join(complement(X1),complement(composition(top,X1))) = complement(X1),
inference(rw,[status(thm)],[c_0_170,c_0_116]) ).
cnf(c_0_177,negated_conjecture,
join(converse(one),complement(converse(esk1_0))) = join(top,converse(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_171]),c_0_92]),c_0_27]) ).
cnf(c_0_178,plain,
composition(join(X1,converse(complement(composition(X2,top)))),X2) = composition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_17]),c_0_82]),c_0_100]),c_0_17]) ).
cnf(c_0_179,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_62,c_0_174]) ).
cnf(c_0_180,plain,
converse(composition(X1,top)) = composition(top,converse(X1)),
inference(spm,[status(thm)],[c_0_16,c_0_53]) ).
cnf(c_0_181,negated_conjecture,
complement(join(complement(one),complement(composition(top,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(spm,[status(thm)],[c_0_138,c_0_175]),c_0_49]),c_0_29]),c_0_27]),c_0_176]),c_0_114]),c_0_62]),c_0_27]),c_0_100]) ).
cnf(c_0_182,negated_conjecture,
converse(complement(converse(esk1_0))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_167]) ).
cnf(c_0_183,negated_conjecture,
join(one,complement(converse(esk1_0))) = join(one,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_28]),c_0_28]),c_0_27]) ).
cnf(c_0_184,plain,
composition(join(X1,complement(composition(top,converse(X2)))),X2) = composition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).
cnf(c_0_185,plain,
join(X1,composition(X1,complement(one))) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_127]),c_0_109]),c_0_53]),c_0_109]),c_0_101]) ).
cnf(c_0_186,negated_conjecture,
join(complement(one),complement(composition(top,esk1_0))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_181]),c_0_182]),c_0_62]),c_0_67]) ).
cnf(c_0_187,negated_conjecture,
join(one,complement(converse(esk1_0))) = top,
inference(rw,[status(thm)],[c_0_183,c_0_47]) ).
cnf(c_0_188,plain,
converse(composition(X1,composition(X2,converse(X3)))) = composition(X3,converse(composition(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_109]),c_0_98]),c_0_16]) ).
cnf(c_0_189,plain,
composition(top,composition(converse(X1),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_30]),c_0_98]) ).
cnf(c_0_190,plain,
converse(composition(top,X1)) = composition(converse(X1),top),
inference(spm,[status(thm)],[c_0_19,c_0_53]) ).
cnf(c_0_191,negated_conjecture,
join(one,composition(esk1_0,complement(one))) = join(one,composition(esk1_0,top)),
inference(spm,[status(thm)],[c_0_80,c_0_185]) ).
cnf(c_0_192,negated_conjecture,
join(complement(one),composition(top,esk1_0)) = join(esk1_0,complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_186]),c_0_62]),c_0_27]),c_0_62]),c_0_27]) ).
cnf(c_0_193,plain,
converse(join(X1,complement(one))) = join(complement(one),converse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_101]),c_0_27]) ).
cnf(c_0_194,negated_conjecture,
complement(join(complement(one),complement(converse(esk1_0)))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_187]),c_0_49]),c_0_59]),c_0_27]) ).
cnf(c_0_195,plain,
composition(X1,composition(converse(X1),top)) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_109]),c_0_53]),c_0_17]),c_0_190]) ).
cnf(c_0_196,negated_conjecture,
join(one,complement(composition(esk1_0,complement(one)))) = join(one,complement(composition(esk1_0,top))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_191]),c_0_133]) ).
cnf(c_0_197,negated_conjecture,
join(complement(one),composition(converse(esk1_0),top)) = join(complement(one),converse(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_192]),c_0_193]),c_0_190]) ).
cnf(c_0_198,negated_conjecture,
join(complement(one),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(spm,[status(thm)],[c_0_62,c_0_194]) ).
cnf(c_0_199,negated_conjecture,
composition(join(esk1_0,converse(esk1_0)),top) = composition(esk1_0,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_195]),c_0_17]),c_0_79]),c_0_17]) ).
cnf(c_0_200,negated_conjecture,
complement(join(one,complement(composition(esk1_0,top)))) = composition(esk1_0,complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_196]),c_0_27]),c_0_111]),c_0_49]),c_0_100]),c_0_62]) ).
cnf(c_0_201,negated_conjecture,
join(complement(one),complement(composition(converse(esk1_0),top))) = complement(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_156,c_0_197]),c_0_94]),c_0_27]),c_0_198]),c_0_27]) ).
cnf(c_0_202,negated_conjecture,
composition(converse(esk1_0),top) = composition(esk1_0,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_195]),c_0_79]),c_0_27]),c_0_199]) ).
cnf(c_0_203,negated_conjecture,
join(complement(esk1_0),composition(esk1_0,complement(one))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_142,c_0_200]) ).
cnf(c_0_204,negated_conjecture,
join(complement(one),complement(composition(esk1_0,top))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_205,negated_conjecture,
join(one,complement(composition(esk1_0,top))) = complement(composition(esk1_0,complement(one))),
inference(spm,[status(thm)],[c_0_62,c_0_200]) ).
cnf(c_0_206,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,complement(one)))) = complement(composition(esk1_0,complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_203]),c_0_62]),c_0_62]),c_0_146]) ).
cnf(c_0_207,plain,
join(X1,converse(join(X2,complement(join(converse(X1),X2))))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_92]),c_0_29]),c_0_41]) ).
cnf(c_0_208,negated_conjecture,
join(converse(esk1_0),composition(esk1_0,complement(one))) = composition(esk1_0,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_204]),c_0_62]),c_0_62]),c_0_205]),c_0_62]) ).
cnf(c_0_209,negated_conjecture,
join(complement(composition(esk1_0,top)),composition(esk1_0,complement(one))) = 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_119,c_0_206]),c_0_62]),c_0_62]),c_0_185]),c_0_27]) ).
cnf(c_0_210,negated_conjecture,
meet(complement(composition(esk1_0,top)),one) != meet(complement(esk1_0),one),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_211,negated_conjecture,
join(esk1_0,complement(converse(esk1_0))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_27]),c_0_209]),c_0_179]) ).
cnf(c_0_212,negated_conjecture,
complement(join(complement(complement(composition(esk1_0,top))),complement(one))) != complement(join(complement(complement(esk1_0)),complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_40]),c_0_40]) ).
cnf(c_0_213,negated_conjecture,
join(esk1_0,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_156,c_0_211]),c_0_49]),c_0_100]),c_0_62]),c_0_27]) ).
cnf(c_0_214,negated_conjecture,
complement(join(complement(one),complement(complement(composition(esk1_0,top))))) != complement(join(complement(one),complement(complement(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_27]),c_0_27]) ).
cnf(c_0_215,negated_conjecture,
join(complement(one),converse(esk1_0)) = join(complement(one),composition(esk1_0,top)),
inference(rw,[status(thm)],[c_0_197,c_0_202]) ).
cnf(c_0_216,negated_conjecture,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_213]),c_0_27]),c_0_213]) ).
cnf(c_0_217,negated_conjecture,
complement(join(complement(one),composition(esk1_0,top))) != complement(join(esk1_0,complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_62]),c_0_62]),c_0_27]) ).
cnf(c_0_218,negated_conjecture,
join(complement(one),composition(esk1_0,top)) = join(esk1_0,complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_216]),c_0_27]) ).
cnf(c_0_219,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL027+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 15:14:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/2.46 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/2.46 # Preprocessing time : 0.009 s
% 0.25/2.46
% 0.25/2.46 # Proof found!
% 0.25/2.46 # SZS status Theorem
% 0.25/2.46 # SZS output start CNFRefutation
% See solution above
% 0.25/2.46 # Proof object total steps : 220
% 0.25/2.46 # Proof object clause steps : 191
% 0.25/2.46 # Proof object formula steps : 29
% 0.25/2.46 # Proof object conjectures : 82
% 0.25/2.46 # Proof object clause conjectures : 79
% 0.25/2.46 # Proof object formula conjectures : 3
% 0.25/2.46 # Proof object initial clauses used : 15
% 0.25/2.46 # Proof object initial formulas used : 14
% 0.25/2.46 # Proof object generating inferences : 146
% 0.25/2.46 # Proof object simplifying inferences : 266
% 0.25/2.46 # Training examples: 0 positive, 0 negative
% 0.25/2.46 # Parsed axioms : 14
% 0.25/2.46 # Removed by relevancy pruning/SinE : 0
% 0.25/2.46 # Initial clauses : 15
% 0.25/2.46 # Removed in clause preprocessing : 1
% 0.25/2.46 # Initial clauses in saturation : 14
% 0.25/2.46 # Processed clauses : 3179
% 0.25/2.46 # ...of these trivial : 1728
% 0.25/2.46 # ...subsumed : 229
% 0.25/2.46 # ...remaining for further processing : 1222
% 0.25/2.46 # Other redundant clauses eliminated : 0
% 0.25/2.46 # Clauses deleted for lack of memory : 0
% 0.25/2.46 # Backward-subsumed : 0
% 0.25/2.46 # Backward-rewritten : 796
% 0.25/2.46 # Generated clauses : 92775
% 0.25/2.46 # ...of the previous two non-trivial : 56954
% 0.25/2.46 # Contextual simplify-reflections : 0
% 0.25/2.46 # Paramodulations : 92775
% 0.25/2.46 # Factorizations : 0
% 0.25/2.46 # Equation resolutions : 0
% 0.25/2.46 # Current number of processed clauses : 426
% 0.25/2.46 # Positive orientable unit clauses : 416
% 0.25/2.46 # Positive unorientable unit clauses: 10
% 0.25/2.46 # Negative unit clauses : 0
% 0.25/2.46 # Non-unit-clauses : 0
% 0.25/2.46 # Current number of unprocessed clauses: 24931
% 0.25/2.46 # ...number of literals in the above : 24931
% 0.25/2.46 # Current number of archived formulas : 0
% 0.25/2.46 # Current number of archived clauses : 797
% 0.25/2.46 # Clause-clause subsumption calls (NU) : 0
% 0.25/2.46 # Rec. Clause-clause subsumption calls : 0
% 0.25/2.46 # Non-unit clause-clause subsumptions : 0
% 0.25/2.46 # Unit Clause-clause subsumption calls : 36
% 0.25/2.46 # Rewrite failures with RHS unbound : 0
% 0.25/2.46 # BW rewrite match attempts : 12380
% 0.25/2.46 # BW rewrite match successes : 632
% 0.25/2.46 # Condensation attempts : 0
% 0.25/2.46 # Condensation successes : 0
% 0.25/2.46 # Termbank termtop insertions : 1493366
% 0.25/2.46
% 0.25/2.46 # -------------------------------------------------
% 0.25/2.46 # User time : 1.172 s
% 0.25/2.46 # System time : 0.043 s
% 0.25/2.46 # Total time : 1.215 s
% 0.25/2.46 # Maximum resident set size: 59048 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: CPU time limit exceeded, terminating
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: CPU time limit exceeded, terminating
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.pCannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.inCannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.53 eprover: No such file or directory
% 0.25/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.53 eprover: No such file or directory
% 0.25/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.53 eprover: No such file or directory
% 0.25/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.53 eprover: No such file or directory
% 0.25/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.54 eprover: No such file or directory
% 0.25/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.54 eprover: No such file or directory
% 0.25/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.54 eprover: No such file or directory
% 0.25/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.54 eprover: No such file or directory
% 0.25/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.54 eprover: No such file or directory
%------------------------------------------------------------------------------