TSTP Solution File: REL027+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL027+2 : 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 19:19:33 EDT 2022
% Result : Theorem 0.22s 2.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 14
% Syntax : Number of formulae : 193 ( 186 unt; 0 def)
% Number of atoms : 203 ( 202 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 5 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 200 ( 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(goals,conjecture,
! [X1] :
( join(X1,one) = one
=> ( join(meet(complement(composition(X1,top)),one),meet(complement(X1),one)) = meet(complement(X1),one)
& join(meet(complement(X1),one),meet(complement(composition(X1,top)),one)) = meet(complement(composition(X1,top)),one) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).
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(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(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]) ).
fof(c_0_29,plain,
! [X2] : zero = meet(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_30,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
fof(c_0_31,negated_conjecture,
~ ! [X1] :
( join(X1,one) = one
=> ( join(meet(complement(composition(X1,top)),one),meet(complement(X1),one)) = meet(complement(X1),one)
& join(meet(complement(X1),one),meet(complement(composition(X1,top)),one)) = meet(complement(composition(X1,top)),one) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_32,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,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_35,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_23,c_0_28]) ).
fof(c_0_36,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_37,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_39,negated_conjecture,
( join(esk1_0,one) = one
& ( join(meet(complement(composition(esk1_0,top)),one),meet(complement(esk1_0),one)) != meet(complement(esk1_0),one)
| join(meet(complement(esk1_0),one),meet(complement(composition(esk1_0,top)),one)) != meet(complement(composition(esk1_0,top)),one) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
cnf(c_0_40,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28]),c_0_35]) ).
cnf(c_0_42,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_46,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_33]) ).
cnf(c_0_47,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_48,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_49,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_44,c_0_27]) ).
fof(c_0_50,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_51,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
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_47,c_0_33]),c_0_48]),c_0_27]) ).
cnf(c_0_53,negated_conjecture,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_32,c_0_49]) ).
cnf(c_0_54,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,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_47,c_0_48]),c_0_51]),c_0_48]),c_0_27]) ).
cnf(c_0_56,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[c_0_52,c_0_41]) ).
cnf(c_0_57,negated_conjecture,
join(one,complement(esk1_0)) = join(one,top),
inference(spm,[status(thm)],[c_0_53,c_0_33]) ).
cnf(c_0_58,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_54,c_0_17]) ).
cnf(c_0_59,plain,
join(zero,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_47,c_0_27]) ).
cnf(c_0_61,negated_conjecture,
join(one,complement(esk1_0)) = top,
inference(rw,[status(thm)],[c_0_57,c_0_51]) ).
fof(c_0_62,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_63,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_58,c_0_33]) ).
cnf(c_0_64,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_27,c_0_51]) ).
cnf(c_0_65,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_47,c_0_47]),c_0_27]) ).
cnf(c_0_66,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_32]) ).
cnf(c_0_67,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_59]),c_0_59]) ).
cnf(c_0_68,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_60,c_0_61]),c_0_48]),c_0_59]),c_0_27]) ).
cnf(c_0_69,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_70,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,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_65,c_0_66]) ).
cnf(c_0_72,negated_conjecture,
join(complement(one),complement(esk1_0)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_41,c_0_67]) ).
cnf(c_0_74,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_69,c_0_35]) ).
cnf(c_0_75,plain,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = top,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_76,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_63,c_0_70]) ).
cnf(c_0_77,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_27]) ).
cnf(c_0_78,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_71,c_0_72]),c_0_67]),c_0_67]),c_0_73]),c_0_27]) ).
cnf(c_0_79,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[c_0_40,c_0_64]) ).
cnf(c_0_80,plain,
join(X1,composition(top,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_74,c_0_51]) ).
cnf(c_0_81,plain,
converse(complement(converse(zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_48]),c_0_55]) ).
cnf(c_0_82,plain,
join(zero,composition(converse(X1),complement(composition(X1,top)))) = zero,
inference(spm,[status(thm)],[c_0_34,c_0_48]) ).
cnf(c_0_83,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_73]) ).
cnf(c_0_84,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_77,c_0_27]) ).
cnf(c_0_85,negated_conjecture,
join(complement(one),join(complement(join(esk1_0,complement(one))),X1)) = join(complement(esk1_0),X1),
inference(spm,[status(thm)],[c_0_32,c_0_78]) ).
cnf(c_0_86,plain,
join(X1,composition(top,complement(X1))) = top,
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_59,c_0_67]) ).
cnf(c_0_88,plain,
complement(converse(zero)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_81]),c_0_70]) ).
cnf(c_0_89,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_35]),c_0_28]),c_0_48]),c_0_35]) ).
cnf(c_0_90,plain,
join(complement(X1),complement(join(complement(X1),join(X2,complement(join(complement(X1),complement(X2))))))) = join(complement(X1),complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_60]),c_0_67]),c_0_66]),c_0_27]) ).
cnf(c_0_91,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_27]) ).
cnf(c_0_92,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_77,c_0_67]) ).
cnf(c_0_93,negated_conjecture,
join(complement(esk1_0),composition(top,join(esk1_0,complement(one)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_51]),c_0_67]) ).
cnf(c_0_94,plain,
join(complement(zero),X1) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_79]),c_0_48]),c_0_55]) ).
fof(c_0_95,plain,
! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_96,plain,
join(converse(composition(X1,X2)),composition(X3,converse(X1))) = composition(join(converse(X2),X3),converse(X1)),
inference(spm,[status(thm)],[c_0_69,c_0_16]) ).
cnf(c_0_97,plain,
composition(converse(X1),complement(composition(X1,top))) = zero,
inference(rw,[status(thm)],[c_0_82,c_0_87]) ).
cnf(c_0_98,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_47,c_0_88]),c_0_64]),c_0_48]),c_0_64]),c_0_48]),c_0_89]) ).
cnf(c_0_99,plain,
join(complement(X1),complement(join(complement(X1),X2))) = join(complement(X1),complement(X2)),
inference(rw,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_100,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(top,join(esk1_0,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_92,c_0_93]),c_0_48]),c_0_87]),c_0_67]),c_0_27]) ).
cnf(c_0_101,plain,
complement(zero) = top,
inference(spm,[status(thm)],[c_0_34,c_0_94]) ).
cnf(c_0_102,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(spm,[status(thm)],[c_0_54,c_0_28]) ).
cnf(c_0_103,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_104,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_105,plain,
composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_17]),c_0_87]),c_0_17]) ).
cnf(c_0_106,plain,
converse(composition(X1,top)) = composition(top,converse(X1)),
inference(spm,[status(thm)],[c_0_16,c_0_70]) ).
cnf(c_0_107,plain,
join(converse(X1),join(converse(X2),X3)) = join(converse(join(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_32,c_0_54]) ).
cnf(c_0_108,negated_conjecture,
join(esk1_0,complement(join(esk1_0,X1))) = join(esk1_0,complement(X1)),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_109,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_60,c_0_101]),c_0_59]),c_0_67]),c_0_51]),c_0_48]) ).
cnf(c_0_110,negated_conjecture,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_49]),c_0_28]) ).
cnf(c_0_111,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_103]),c_0_104]),c_0_16]) ).
cnf(c_0_112,plain,
composition(top,composition(converse(X1),X1)) = 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_105,c_0_76]),c_0_17]),c_0_67]),c_0_106]),c_0_104]) ).
cnf(c_0_113,plain,
converse(composition(top,X1)) = composition(converse(X1),top),
inference(spm,[status(thm)],[c_0_19,c_0_70]) ).
cnf(c_0_114,plain,
join(complement(converse(X1)),converse(join(X2,X1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_33]),c_0_51]),c_0_27]) ).
cnf(c_0_115,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_108,c_0_76]),c_0_48]),c_0_109]) ).
cnf(c_0_116,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_110]),c_0_35]) ).
cnf(c_0_117,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_111,c_0_112]),c_0_103]),c_0_70]),c_0_17]),c_0_113]) ).
cnf(c_0_118,negated_conjecture,
join(converse(esk1_0),complement(converse(complement(converse(complement(converse(esk1_0))))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_27]) ).
cnf(c_0_119,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_47,c_0_76]),c_0_48]),c_0_87]) ).
cnf(c_0_120,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_58,c_0_116]),c_0_17]),c_0_16]),c_0_17]) ).
cnf(c_0_121,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_49]),c_0_35]) ).
cnf(c_0_122,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_116,c_0_117]),c_0_17]),c_0_69]),c_0_17]) ).
cnf(c_0_123,negated_conjecture,
converse(complement(converse(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_84,c_0_118]),c_0_48]),c_0_119]),c_0_87]) ).
cnf(c_0_124,negated_conjecture,
join(one,complement(join(esk1_0,X1))) = join(one,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_108]),c_0_53]) ).
cnf(c_0_125,plain,
join(X1,composition(complement(one),X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_74,c_0_33]) ).
cnf(c_0_126,negated_conjecture,
join(X1,composition(complement(esk1_0),X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_74,c_0_61]) ).
cnf(c_0_127,negated_conjecture,
join(complement(X1),complement(composition(complement(X1),esk1_0))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_120]),c_0_33]) ).
cnf(c_0_128,negated_conjecture,
join(one,join(converse(esk1_0),X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_32,c_0_110]) ).
cnf(c_0_129,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_121,c_0_117]),c_0_69]),c_0_27]),c_0_122]) ).
cnf(c_0_130,negated_conjecture,
complement(converse(complement(converse(esk1_0)))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_123]),c_0_17]) ).
cnf(c_0_131,plain,
join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
inference(spm,[status(thm)],[c_0_60,c_0_67]) ).
cnf(c_0_132,negated_conjecture,
join(one,complement(composition(complement(one),esk1_0))) = join(one,complement(composition(top,esk1_0))),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_133,negated_conjecture,
join(esk1_0,complement(composition(complement(esk1_0),esk1_0))) = join(esk1_0,complement(composition(top,esk1_0))),
inference(spm,[status(thm)],[c_0_108,c_0_126]) ).
cnf(c_0_134,negated_conjecture,
join(X1,complement(composition(X1,esk1_0))) = top,
inference(spm,[status(thm)],[c_0_127,c_0_67]) ).
cnf(c_0_135,negated_conjecture,
join(one,composition(complement(esk1_0),converse(esk1_0))) = join(one,composition(top,converse(esk1_0))),
inference(spm,[status(thm)],[c_0_128,c_0_126]) ).
cnf(c_0_136,negated_conjecture,
composition(top,converse(esk1_0)) = composition(top,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_129]),c_0_106]),c_0_17]) ).
cnf(c_0_137,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_34,c_0_20]) ).
cnf(c_0_138,negated_conjecture,
converse(complement(converse(esk1_0))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_130]),c_0_130]),c_0_73]) ).
cnf(c_0_139,plain,
join(X1,complement(join(X1,join(complement(X2),complement(join(X1,X2)))))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_71,c_0_67]) ).
cnf(c_0_140,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_131,c_0_132]),c_0_27]),c_0_127]),c_0_48]),c_0_109]),c_0_67]) ).
cnf(c_0_141,negated_conjecture,
complement(join(esk1_0,complement(composition(top,esk1_0)))) = composition(complement(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_133]),c_0_134]),c_0_48]),c_0_109]) ).
cnf(c_0_142,negated_conjecture,
join(one,composition(complement(esk1_0),converse(esk1_0))) = join(one,composition(top,esk1_0)),
inference(rw,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_143,negated_conjecture,
join(complement(one),composition(complement(esk1_0),converse(esk1_0))) = complement(one),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_67]) ).
cnf(c_0_144,negated_conjecture,
join(one,complement(join(one,X1))) = join(one,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_124]),c_0_67]),c_0_32]),c_0_91]),c_0_53]) ).
cnf(c_0_145,negated_conjecture,
join(one,complement(composition(top,esk1_0))) = complement(composition(complement(one),esk1_0)),
inference(spm,[status(thm)],[c_0_67,c_0_140]) ).
cnf(c_0_146,negated_conjecture,
join(esk1_0,complement(composition(complement(one),esk1_0))) = join(esk1_0,complement(composition(top,esk1_0))),
inference(spm,[status(thm)],[c_0_108,c_0_125]) ).
cnf(c_0_147,negated_conjecture,
join(esk1_0,complement(composition(top,esk1_0))) = complement(composition(complement(esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_67,c_0_141]) ).
cnf(c_0_148,negated_conjecture,
complement(composition(complement(esk1_0),converse(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_142]),c_0_27]),c_0_143]),c_0_67]),c_0_27]),c_0_144]),c_0_145]) ).
cnf(c_0_149,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_47,c_0_67]) ).
cnf(c_0_150,negated_conjecture,
join(esk1_0,complement(composition(complement(one),esk1_0))) = complement(composition(complement(esk1_0),esk1_0)),
inference(rw,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_151,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_54,c_0_17]) ).
cnf(c_0_152,negated_conjecture,
composition(complement(esk1_0),converse(esk1_0)) = composition(complement(one),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_148]),c_0_119]) ).
cnf(c_0_153,negated_conjecture,
join(complement(composition(top,esk1_0)),composition(complement(esk1_0),esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_141]),c_0_67]),c_0_80]),c_0_27]) ).
cnf(c_0_154,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(spm,[status(thm)],[c_0_91,c_0_150]),c_0_67]),c_0_69]),c_0_72]) ).
cnf(c_0_155,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_131]),c_0_27]) ).
cnf(c_0_156,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_76,c_0_151]),c_0_32]),c_0_54]) ).
cnf(c_0_157,negated_conjecture,
join(converse(esk1_0),composition(complement(one),esk1_0)) = composition(top,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_152]),c_0_57]),c_0_51]),c_0_136]) ).
cnf(c_0_158,negated_conjecture,
join(complement(composition(top,esk1_0)),composition(complement(one),esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,negated_conjecture,
converse(complement(esk1_0)) = complement(converse(esk1_0)),
inference(spm,[status(thm)],[c_0_17,c_0_138]) ).
cnf(c_0_160,plain,
composition(top,complement(composition(top,top))) = zero,
inference(spm,[status(thm)],[c_0_97,c_0_70]) ).
cnf(c_0_161,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(rw,[status(thm)],[c_0_139,c_0_155]) ).
cnf(c_0_162,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_156,c_0_157]),c_0_27]),c_0_158]),c_0_159]) ).
cnf(c_0_163,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_69,c_0_160]),c_0_87]),c_0_64]),c_0_160]) ).
cnf(c_0_164,negated_conjecture,
join(esk1_0,converse(esk1_0)) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_48]),c_0_109]) ).
cnf(c_0_165,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_34,c_0_16]),c_0_17]) ).
cnf(c_0_166,plain,
complement(composition(top,top)) = zero,
inference(spm,[status(thm)],[c_0_35,c_0_163]) ).
cnf(c_0_167,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_69,c_0_154]),c_0_69]) ).
cnf(c_0_168,negated_conjecture,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_164]),c_0_27]),c_0_164]) ).
cnf(c_0_169,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_165,c_0_19]),c_0_104]),c_0_19]) ).
cnf(c_0_170,plain,
composition(top,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_166]),c_0_109]) ).
cnf(c_0_171,plain,
join(complement(one),composition(converse(complement(X1)),X1)) = complement(one),
inference(spm,[status(thm)],[c_0_137,c_0_67]) ).
cnf(c_0_172,plain,
join(one,converse(complement(one))) = converse(top),
inference(spm,[status(thm)],[c_0_63,c_0_28]) ).
cnf(c_0_173,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_76]),c_0_159]),c_0_168]),c_0_67]),c_0_168]),c_0_27]) ).
cnf(c_0_174,plain,
join(complement(X1),composition(top,complement(composition(top,X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_34,c_0_70]) ).
cnf(c_0_175,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_169,c_0_170]),c_0_70]),c_0_70]),c_0_80]),c_0_70]) ).
cnf(c_0_176,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(spm,[status(thm)],[c_0_171,c_0_20]) ).
cnf(c_0_177,plain,
join(one,converse(complement(one))) = top,
inference(rw,[status(thm)],[c_0_172,c_0_70]) ).
cnf(c_0_178,negated_conjecture,
join(esk1_0,join(complement(one),complement(composition(top,esk1_0)))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_173]),c_0_32]) ).
cnf(c_0_179,plain,
join(complement(X1),complement(composition(top,X1))) = complement(X1),
inference(rw,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_180,negated_conjecture,
( join(meet(complement(esk1_0),one),meet(complement(composition(esk1_0,top)),one)) != meet(complement(composition(esk1_0,top)),one)
| join(meet(complement(composition(esk1_0,top)),one),meet(complement(esk1_0),one)) != meet(complement(esk1_0),one) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_181,plain,
complement(converse(complement(one))) = 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_92,c_0_176]),c_0_27]),c_0_177]),c_0_48]),c_0_67]),c_0_87]) ).
cnf(c_0_182,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(spm,[status(thm)],[c_0_131,c_0_178]),c_0_48]),c_0_32]),c_0_27]),c_0_179]),c_0_72]),c_0_67]),c_0_87]) ).
cnf(c_0_183,negated_conjecture,
( join(complement(join(complement(complement(composition(esk1_0,top))),complement(one))),complement(join(complement(complement(esk1_0)),complement(one)))) != complement(join(complement(complement(esk1_0)),complement(one)))
| join(complement(join(complement(complement(esk1_0)),complement(one))),complement(join(complement(complement(composition(esk1_0,top))),complement(one)))) != complement(join(complement(complement(composition(esk1_0,top))),complement(one))) ),
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_180,c_0_38]),c_0_38]),c_0_38]),c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_184,plain,
converse(complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_181]),c_0_28]),c_0_181]),c_0_73]) ).
cnf(c_0_185,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_182]),c_0_168]),c_0_159]),c_0_168]),c_0_67]),c_0_73]) ).
cnf(c_0_186,negated_conjecture,
( join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(one),complement(complement(composition(esk1_0,top)))))
| join(complement(join(complement(one),complement(complement(esk1_0)))),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]) ).
cnf(c_0_187,plain,
converse(join(complement(one),X1)) = join(complement(one),converse(X1)),
inference(spm,[status(thm)],[c_0_54,c_0_184]) ).
cnf(c_0_188,negated_conjecture,
join(complement(one),composition(top,esk1_0)) = join(esk1_0,complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_185]),c_0_67]),c_0_27]) ).
cnf(c_0_189,plain,
converse(join(X1,complement(one))) = join(complement(one),converse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_184]),c_0_27]) ).
cnf(c_0_190,negated_conjecture,
( join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(complement(one),composition(esk1_0,top)))
| join(complement(join(esk1_0,complement(one))),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)],[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_186,c_0_67]),c_0_27]),c_0_67]),c_0_67]),c_0_67]),c_0_27]),c_0_67]),c_0_67]),c_0_27]) ).
cnf(c_0_191,negated_conjecture,
join(complement(one),composition(esk1_0,top)) = join(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_187,c_0_188]),c_0_189]),c_0_168]),c_0_27]),c_0_113]),c_0_168]) ).
cnf(c_0_192,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191]),c_0_73]),c_0_191]),c_0_191]),c_0_73])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : REL027+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % 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 11:11:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/2.40 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.22/2.40 # Preprocessing time : 0.020 s
% 0.22/2.40
% 0.22/2.40 # Proof found!
% 0.22/2.40 # SZS status Theorem
% 0.22/2.40 # SZS output start CNFRefutation
% See solution above
% 0.22/2.40 # Proof object total steps : 193
% 0.22/2.40 # Proof object clause steps : 164
% 0.22/2.40 # Proof object formula steps : 29
% 0.22/2.40 # Proof object conjectures : 66
% 0.22/2.40 # Proof object clause conjectures : 63
% 0.22/2.40 # Proof object formula conjectures : 3
% 0.22/2.40 # Proof object initial clauses used : 15
% 0.22/2.40 # Proof object initial formulas used : 14
% 0.22/2.40 # Proof object generating inferences : 124
% 0.22/2.40 # Proof object simplifying inferences : 222
% 0.22/2.40 # Training examples: 0 positive, 0 negative
% 0.22/2.40 # Parsed axioms : 14
% 0.22/2.40 # Removed by relevancy pruning/SinE : 0
% 0.22/2.40 # Initial clauses : 15
% 0.22/2.40 # Removed in clause preprocessing : 1
% 0.22/2.40 # Initial clauses in saturation : 14
% 0.22/2.40 # Processed clauses : 3735
% 0.22/2.40 # ...of these trivial : 2140
% 0.22/2.40 # ...subsumed : 236
% 0.22/2.40 # ...remaining for further processing : 1359
% 0.22/2.40 # Other redundant clauses eliminated : 0
% 0.22/2.40 # Clauses deleted for lack of memory : 0
% 0.22/2.40 # Backward-subsumed : 0
% 0.22/2.40 # Backward-rewritten : 699
% 0.22/2.40 # Generated clauses : 111522
% 0.22/2.40 # ...of the previous two non-trivial : 70082
% 0.22/2.40 # Contextual simplify-reflections : 0
% 0.22/2.40 # Paramodulations : 111522
% 0.22/2.40 # Factorizations : 0
% 0.22/2.40 # Equation resolutions : 0
% 0.22/2.40 # Current number of processed clauses : 660
% 0.22/2.40 # Positive orientable unit clauses : 650
% 0.22/2.40 # Positive unorientable unit clauses: 10
% 0.22/2.40 # Negative unit clauses : 0
% 0.22/2.40 # Non-unit-clauses : 0
% 0.22/2.40 # Current number of unprocessed clauses: 41533
% 0.22/2.40 # ...number of literals in the above : 41533
% 0.22/2.40 # Current number of archived formulas : 0
% 0.22/2.40 # Current number of archived clauses : 700
% 0.22/2.40 # Clause-clause subsumption calls (NU) : 0
% 0.22/2.40 # Rec. Clause-clause subsumption calls : 0
% 0.22/2.40 # Non-unit clause-clause subsumptions : 0
% 0.22/2.40 # Unit Clause-clause subsumption calls : 34
% 0.22/2.40 # Rewrite failures with RHS unbound : 0
% 0.22/2.40 # BW rewrite match attempts : 11147
% 0.22/2.40 # BW rewrite match successes : 492
% 0.22/2.40 # Condensation attempts : 0
% 0.22/2.40 # Condensation successes : 0
% 0.22/2.40 # Termbank termtop insertions : 1867422
% 0.22/2.40
% 0.22/2.40 # -------------------------------------------------
% 0.22/2.40 # User time : 1.061 s
% 0.22/2.40 # System time : 0.034 s
% 0.22/2.40 # Total time : 1.095 s
% 0.22/2.40 # Maximum resident set size: 72776 pages
% 0.22/23.39 eprover: CPU time limit exceeded, terminating
% 0.22/23.39 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------