TSTP Solution File: REL026+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL026+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:19:32 EDT 2022
% Result : Theorem 0.32s 21.49s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 15
% Syntax : Number of formulae : 183 ( 177 unt; 0 def)
% Number of atoms : 192 ( 191 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 4 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 220 ( 10 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(goals,conjecture,
! [X1,X2] :
( join(X1,one) = one
=> ( join(meet(composition(X1,top),X2),composition(X1,X2)) = composition(X1,X2)
& join(composition(X1,X2),meet(composition(X1,top),X2)) = meet(composition(X1,top),X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(def_top,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(dedekind_law,axiom,
! [X1,X2,X3] : join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+1.ax',dedekind_law) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(composition_associativity,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(modular_law_1,axiom,
! [X1,X2,X3] : join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+1.ax',modular_law_1) ).
fof(c_0_15,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_16,plain,
! [X2] : composition(X2,one) = X2,
inference(variable_rename,[status(thm)],[composition_identity]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1,X2] :
( join(X1,one) = one
=> ( join(meet(composition(X1,top),X2),composition(X1,X2)) = composition(X1,X2)
& join(composition(X1,X2),meet(composition(X1,top),X2)) = meet(composition(X1,top),X2) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_18,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
fof(c_0_21,negated_conjecture,
( join(esk1_0,one) = one
& ( join(meet(composition(esk1_0,top),esk2_0),composition(esk1_0,esk2_0)) != composition(esk1_0,esk2_0)
| join(composition(esk1_0,esk3_0),meet(composition(esk1_0,top),esk3_0)) != meet(composition(esk1_0,top),esk3_0) ) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
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),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_25,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_26,negated_conjecture,
join(esk1_0,one) = one,
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]) ).
fof(c_0_28,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
cnf(c_0_29,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_32,plain,
! [X2] : top = join(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_top]) ).
cnf(c_0_33,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_33,c_0_27]) ).
cnf(c_0_38,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_29,c_0_34]) ).
fof(c_0_39,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_40,negated_conjecture,
join(one,join(X1,esk1_0)) = join(one,X1),
inference(spm,[status(thm)],[c_0_35,c_0_27]) ).
cnf(c_0_41,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_30,c_0_36]) ).
cnf(c_0_42,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_43,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_34]),c_0_38]) ).
fof(c_0_44,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_45,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,negated_conjecture,
join(top,esk1_0) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_36]) ).
cnf(c_0_47,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_36]),c_0_27]) ).
cnf(c_0_48,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
join(converse(top),converse(esk1_0)) = converse(top),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_42,c_0_47]) ).
cnf(c_0_51,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_52,negated_conjecture,
join(converse(top),join(complement(converse(top)),converse(esk1_0))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_49]),c_0_27]) ).
cnf(c_0_53,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_27,c_0_50]) ).
cnf(c_0_54,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_30,c_0_51]) ).
cnf(c_0_55,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_37,c_0_19]) ).
cnf(c_0_56,negated_conjecture,
converse(top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_52]),c_0_24]),c_0_45]),c_0_24]),c_0_53]) ).
cnf(c_0_57,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_58,plain,
join(complement(top),complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_27]),c_0_36]) ).
cnf(c_0_59,plain,
join(X1,complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_43]),c_0_51]) ).
cnf(c_0_60,negated_conjecture,
join(complement(one),composition(top,complement(top))) = complement(one),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
join(X1,X2) = join(complement(top),join(complement(complement(X2)),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_57]) ).
cnf(c_0_62,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_27]) ).
cnf(c_0_63,plain,
join(X1,complement(top)) = X1,
inference(spm,[status(thm)],[c_0_59,c_0_36]) ).
cnf(c_0_64,negated_conjecture,
join(complement(one),join(complement(complement(one)),composition(top,complement(top)))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_60]),c_0_27]) ).
cnf(c_0_65,plain,
join(X1,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_43]),c_0_58]),c_0_27]) ).
cnf(c_0_66,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_43]),c_0_27]),c_0_36]),c_0_63]) ).
cnf(c_0_67,negated_conjecture,
join(complement(top),complement(join(complement(one),complement(join(complement(complement(one)),composition(top,complement(top))))))) = one,
inference(spm,[status(thm)],[c_0_51,c_0_64]) ).
cnf(c_0_68,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[c_0_41,c_0_53]) ).
cnf(c_0_69,plain,
join(complement(top),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_36]),c_0_65]),c_0_66]) ).
cnf(c_0_70,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
join(complement(one),complement(join(complement(one),complement(join(complement(complement(one)),composition(top,complement(top))))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_67]),c_0_58]) ).
cnf(c_0_72,negated_conjecture,
join(one,complement(esk1_0)) = join(one,top),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_73,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_62,c_0_68]),c_0_66]),c_0_69]),c_0_27]) ).
cnf(c_0_74,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_57,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
join(one,complement(top)) = one,
inference(spm,[status(thm)],[c_0_59,c_0_71]) ).
cnf(c_0_76,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_51,c_0_27]) ).
cnf(c_0_77,negated_conjecture,
join(one,complement(esk1_0)) = top,
inference(rw,[status(thm)],[c_0_72,c_0_50]) ).
cnf(c_0_78,plain,
complement(join(complement(X1),complement(join(X2,X1)))) = X1,
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
join(one,converse(complement(top))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_75]),c_0_34]),c_0_34]) ).
cnf(c_0_80,negated_conjecture,
complement(join(complement(one),complement(esk1_0))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_69]),c_0_27]) ).
cnf(c_0_81,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_30]) ).
cnf(c_0_82,plain,
join(converse(complement(join(complement(X1),X2))),converse(complement(join(complement(X1),complement(X2))))) = converse(X1),
inference(spm,[status(thm)],[c_0_45,c_0_51]) ).
cnf(c_0_83,negated_conjecture,
complement(join(complement(one),complement(converse(complement(top))))) = converse(complement(top)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_27]) ).
fof(c_0_84,plain,
! [X4,X5,X6] : join(meet(composition(X4,X5),X6),composition(meet(X4,composition(X6,converse(X5))),meet(X5,composition(converse(X4),X6)))) = composition(meet(X4,composition(X6,converse(X5))),meet(X5,composition(converse(X4),X6))),
inference(variable_rename,[status(thm)],[dedekind_law]) ).
fof(c_0_85,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_86,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_51,c_0_51]),c_0_57]),c_0_27]),c_0_27]) ).
cnf(c_0_87,negated_conjecture,
join(complement(one),complement(esk1_0)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_66,c_0_80]) ).
cnf(c_0_88,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_70]),c_0_30]),c_0_70]) ).
cnf(c_0_89,negated_conjecture,
converse(complement(join(complement(one),converse(complement(top))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_24]),c_0_66]),c_0_69]),c_0_34]) ).
cnf(c_0_90,plain,
join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_91,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_92,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_86,c_0_87]),c_0_66]),c_0_66]),c_0_27]),c_0_88]) ).
cnf(c_0_93,plain,
join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_94,negated_conjecture,
join(complement(one),converse(complement(top))) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_89]),c_0_66]),c_0_38]),c_0_88]) ).
cnf(c_0_95,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3)))))) = composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91]),c_0_91]),c_0_91]),c_0_91]),c_0_91]) ).
cnf(c_0_96,negated_conjecture,
join(converse(esk1_0),converse(complement(join(esk1_0,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_82,c_0_92]),c_0_66]),c_0_66]),c_0_34]),c_0_81]),c_0_43]) ).
fof(c_0_97,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_98,plain,
join(complement(X1),complement(composition(converse(X2),complement(composition(X2,X1))))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_36]),c_0_27]),c_0_53]) ).
cnf(c_0_99,plain,
join(converse(X1),join(converse(X2),converse(complement(join(X1,X2))))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_42]),c_0_45]),c_0_56]) ).
cnf(c_0_100,negated_conjecture,
complement(join(one,complement(converse(complement(top))))) = converse(complement(top)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_94]),c_0_66]),c_0_27]) ).
cnf(c_0_101,plain,
join(complement(join(complement(one),complement(composition(X1,X2)))),composition(complement(join(complement(X1),complement(converse(X2)))),complement(join(complement(X2),complement(converse(X1)))))) = composition(complement(join(complement(X1),complement(converse(X2)))),complement(join(complement(X2),complement(converse(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_19]),c_0_27]),c_0_38]),c_0_38]) ).
cnf(c_0_102,negated_conjecture,
complement(join(complement(one),complement(converse(esk1_0)))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_96]),c_0_27]) ).
cnf(c_0_103,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_104,plain,
complement(composition(converse(X1),complement(composition(X1,top)))) = top,
inference(spm,[status(thm)],[c_0_69,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
join(one,converse(complement(converse(complement(top))))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_34]),c_0_24]),c_0_63]) ).
cnf(c_0_106,negated_conjecture,
join(esk1_0,composition(esk1_0,converse(esk1_0))) = composition(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_19]),c_0_87]),c_0_66]),c_0_34]),c_0_27]),c_0_87]),c_0_66]),c_0_34]),c_0_27]),c_0_87]),c_0_66]) ).
cnf(c_0_107,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_31]),c_0_38]),c_0_38]) ).
cnf(c_0_108,negated_conjecture,
complement(composition(top,complement(composition(top,top)))) = top,
inference(spm,[status(thm)],[c_0_104,c_0_56]) ).
cnf(c_0_109,negated_conjecture,
join(one,complement(converse(complement(top)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_105]),c_0_56]),c_0_34]),c_0_24]) ).
cnf(c_0_110,negated_conjecture,
composition(esk1_0,converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_106]),c_0_18]),c_0_24]),c_0_18]),c_0_24]),c_0_107]) ).
cnf(c_0_111,negated_conjecture,
composition(top,complement(composition(top,top))) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_108]),c_0_53]),c_0_53]),c_0_43]) ).
cnf(c_0_112,negated_conjecture,
converse(complement(top)) = complement(top),
inference(rw,[status(thm)],[c_0_100,c_0_109]) ).
cnf(c_0_113,plain,
join(X1,join(X2,complement(X1))) = join(X2,top),
inference(spm,[status(thm)],[c_0_81,c_0_36]) ).
cnf(c_0_114,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(esk1_0,converse(esk1_0))))) = esk1_0,
inference(spm,[status(thm)],[c_0_73,c_0_106]) ).
fof(c_0_115,plain,
! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_116,negated_conjecture,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_110]),c_0_24]),c_0_24]),c_0_110]) ).
cnf(c_0_117,negated_conjecture,
composition(converse(complement(composition(top,top))),top) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_111]),c_0_112]),c_0_56]) ).
cnf(c_0_118,plain,
join(X1,join(X2,complement(X1))) = top,
inference(rw,[status(thm)],[c_0_113,c_0_50]) ).
cnf(c_0_119,negated_conjecture,
join(complement(esk1_0),complement(composition(esk1_0,converse(esk1_0)))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_66,c_0_114]) ).
cnf(c_0_120,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_121,negated_conjecture,
complement(composition(esk1_0,complement(composition(esk1_0,top)))) = top,
inference(spm,[status(thm)],[c_0_104,c_0_116]) ).
cnf(c_0_122,plain,
join(composition(X1,X2),composition(complement(X1),X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_103,c_0_36]) ).
cnf(c_0_123,negated_conjecture,
join(composition(complement(composition(top,top)),top),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_117]),c_0_24]),c_0_66]),c_0_69]),c_0_69]) ).
cnf(c_0_124,plain,
join(composition(complement(join(complement(X1),X2)),X3),composition(complement(join(complement(X1),complement(X2))),X3)) = composition(X1,X3),
inference(spm,[status(thm)],[c_0_103,c_0_51]) ).
cnf(c_0_125,negated_conjecture,
join(complement(esk1_0),composition(esk1_0,converse(esk1_0))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_27]) ).
cnf(c_0_126,plain,
join(complement(X1),composition(converse(X2),composition(converse(X3),complement(composition(X3,composition(X2,X1)))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_120]),c_0_18]),c_0_120]) ).
cnf(c_0_127,negated_conjecture,
composition(esk1_0,complement(composition(esk1_0,top))) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_121]),c_0_53]),c_0_53]),c_0_43]) ).
cnf(c_0_128,negated_conjecture,
composition(top,composition(top,top)) = composition(top,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_66]),c_0_120]) ).
cnf(c_0_129,negated_conjecture,
join(composition(esk1_0,X1),composition(complement(top),X1)) = composition(esk1_0,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_119]),c_0_66]),c_0_27]) ).
cnf(c_0_130,negated_conjecture,
composition(esk1_0,complement(top)) = complement(top),
inference(spm,[status(thm)],[c_0_69,c_0_107]) ).
cnf(c_0_131,negated_conjecture,
join(converse(esk1_0),converse(complement(top))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_125]),c_0_119]),c_0_66]),c_0_27]) ).
cnf(c_0_132,plain,
join(complement(one),composition(converse(X1),composition(converse(X2),complement(composition(X2,X1))))) = complement(one),
inference(spm,[status(thm)],[c_0_126,c_0_19]) ).
cnf(c_0_133,negated_conjecture,
composition(converse(complement(composition(esk1_0,top))),esk1_0) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_127]),c_0_112]),c_0_116]) ).
cnf(c_0_134,plain,
join(composition(X1,X2),join(composition(X3,X2),composition(complement(join(X1,X3)),X2))) = composition(top,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_42]),c_0_103]) ).
cnf(c_0_135,negated_conjecture,
composition(top,complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_128]),c_0_56]),c_0_56]),c_0_111]),c_0_69]) ).
cnf(c_0_136,negated_conjecture,
composition(complement(top),complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_69]) ).
cnf(c_0_137,negated_conjecture,
join(esk1_0,converse(complement(converse(esk1_0)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_131]),c_0_24]),c_0_24]),c_0_69]) ).
fof(c_0_138,plain,
! [X4,X5,X6] : join(meet(composition(X4,X5),X6),meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6)) = meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6),
inference(variable_rename,[status(thm)],[modular_law_1]) ).
cnf(c_0_139,plain,
join(complement(one),join(composition(converse(X1),complement(join(X1,X2))),composition(converse(X2),complement(join(X1,X2))))) = complement(one),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_45]),c_0_103]) ).
cnf(c_0_140,negated_conjecture,
join(complement(one),composition(esk1_0,composition(complement(composition(esk1_0,top)),top))) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_116]),c_0_24]),c_0_66]) ).
cnf(c_0_141,negated_conjecture,
composition(X1,complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_53]),c_0_136]),c_0_63]),c_0_69]),c_0_135]) ).
cnf(c_0_142,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_51,c_0_66]) ).
cnf(c_0_143,negated_conjecture,
join(esk1_0,converse(complement(esk1_0))) = top,
inference(rw,[status(thm)],[c_0_137,c_0_116]) ).
cnf(c_0_144,plain,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_145,plain,
join(complement(join(complement(X1),complement(X2))),composition(complement(join(complement(X1),complement(X2))),complement(join(complement(one),complement(composition(converse(X1),X2)))))) = composition(complement(join(complement(X1),complement(X2))),complement(join(complement(one),complement(composition(converse(X1),X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_19]),c_0_34]),c_0_19]),c_0_34]),c_0_19]) ).
cnf(c_0_146,negated_conjecture,
join(complement(one),converse(complement(one))) = 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)],[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_140]),c_0_66]),c_0_19]),c_0_18]),c_0_18]),c_0_56]),c_0_116]),c_0_120]),c_0_133]),c_0_141]),c_0_66]),c_0_19]),c_0_27]),c_0_69]) ).
cnf(c_0_147,negated_conjecture,
complement(join(esk1_0,complement(converse(complement(esk1_0))))) = complement(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_69]) ).
cnf(c_0_148,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_91]),c_0_91]),c_0_91]),c_0_91]),c_0_91]) ).
cnf(c_0_149,negated_conjecture,
join(esk1_0,composition(esk1_0,esk1_0)) = composition(esk1_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_87]),c_0_66]),c_0_66]),c_0_34]),c_0_38]),c_0_87]),c_0_66]),c_0_66]),c_0_34]),c_0_38]),c_0_87]),c_0_66]) ).
cnf(c_0_150,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_51,c_0_87]),c_0_66]),c_0_66]),c_0_27]) ).
cnf(c_0_151,negated_conjecture,
join(converse(complement(one)),converse(complement(esk1_0))) = converse(complement(esk1_0)),
inference(spm,[status(thm)],[c_0_45,c_0_87]) ).
cnf(c_0_152,negated_conjecture,
converse(complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_146]),c_0_24]),c_0_27]),c_0_146]) ).
cnf(c_0_153,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_76]),c_0_27]) ).
cnf(c_0_154,negated_conjecture,
join(esk1_0,complement(converse(complement(esk1_0)))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_147]),c_0_62]) ).
cnf(c_0_155,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))) = complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_27]),c_0_27]) ).
cnf(c_0_156,negated_conjecture,
composition(esk1_0,esk1_0) = esk1_0,
inference(rw,[status(thm)],[c_0_149,c_0_107]) ).
cnf(c_0_157,negated_conjecture,
join(one,complement(join(esk1_0,complement(one)))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_150]),c_0_70]) ).
cnf(c_0_158,plain,
join(converse(complement(X1)),converse(complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2))))))) = join(converse(complement(X1)),converse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_51]),c_0_45]),c_0_57]),c_0_27]),c_0_27]) ).
cnf(c_0_159,negated_conjecture,
join(complement(one),converse(complement(esk1_0))) = converse(complement(esk1_0)),
inference(rw,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_160,negated_conjecture,
join(complement(esk1_0),converse(complement(esk1_0))) = converse(complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_27]) ).
cnf(c_0_161,plain,
join(complement(join(complement(composition(X1,top)),complement(X2))),complement(join(complement(X2),complement(composition(X1,composition(converse(X1),X2)))))) = complement(join(complement(X2),complement(composition(X1,composition(converse(X1),X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_69]),c_0_66]),c_0_66]) ).
cnf(c_0_162,negated_conjecture,
composition(esk1_0,composition(esk1_0,X1)) = composition(esk1_0,X1),
inference(spm,[status(thm)],[c_0_120,c_0_156]) ).
cnf(c_0_163,negated_conjecture,
complement(join(complement(X1),complement(composition(esk1_0,X1)))) = composition(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_107]),c_0_27]) ).
cnf(c_0_164,plain,
join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
inference(spm,[status(thm)],[c_0_76,c_0_66]) ).
cnf(c_0_165,negated_conjecture,
join(one,converse(complement(join(esk1_0,complement(one))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_157]),c_0_34]),c_0_34]) ).
cnf(c_0_166,negated_conjecture,
join(complement(one),converse(complement(join(esk1_0,complement(one))))) = converse(complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_87]),c_0_152]),c_0_66]),c_0_66]),c_0_27]),c_0_88]),c_0_152]),c_0_159]) ).
cnf(c_0_167,negated_conjecture,
converse(complement(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_45,c_0_160]),c_0_24]),c_0_24]),c_0_27]),c_0_160]) ).
cnf(c_0_168,negated_conjecture,
( join(composition(esk1_0,esk3_0),meet(composition(esk1_0,top),esk3_0)) != meet(composition(esk1_0,top),esk3_0)
| join(meet(composition(esk1_0,top),esk2_0),composition(esk1_0,esk2_0)) != composition(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_169,negated_conjecture,
join(complement(join(complement(composition(esk1_0,top)),complement(X1))),composition(esk1_0,X1)) = composition(esk1_0,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_116]),c_0_162]),c_0_163]),c_0_162]),c_0_163]) ).
cnf(c_0_170,negated_conjecture,
complement(converse(complement(join(esk1_0,complement(one))))) = 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_164,c_0_165]),c_0_27]),c_0_166]),c_0_167]),c_0_66]),c_0_27]) ).
cnf(c_0_171,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,top)),complement(esk2_0))),composition(esk1_0,esk2_0)) != composition(esk1_0,esk2_0)
| join(composition(esk1_0,esk3_0),complement(join(complement(composition(esk1_0,top)),complement(esk3_0)))) != complement(join(complement(composition(esk1_0,top)),complement(esk3_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_91]),c_0_91]),c_0_91]) ).
cnf(c_0_172,negated_conjecture,
join(composition(esk1_0,X1),complement(join(complement(composition(esk1_0,top)),complement(X1)))) = composition(esk1_0,X1),
inference(spm,[status(thm)],[c_0_27,c_0_169]) ).
cnf(c_0_173,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),join(complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),X4)) = join(complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),X4),
inference(spm,[status(thm)],[c_0_30,c_0_155]) ).
cnf(c_0_174,plain,
join(composition(converse(complement(join(complement(X1),X2))),X3),composition(converse(complement(join(complement(X1),complement(X2)))),X3)) = composition(converse(X1),X3),
inference(spm,[status(thm)],[c_0_103,c_0_82]) ).
cnf(c_0_175,negated_conjecture,
converse(complement(join(esk1_0,complement(one)))) = complement(join(esk1_0,complement(one))),
inference(spm,[status(thm)],[c_0_66,c_0_170]) ).
cnf(c_0_176,negated_conjecture,
( join(composition(esk1_0,esk3_0),complement(join(complement(esk3_0),complement(composition(esk1_0,top))))) != complement(join(complement(esk3_0),complement(composition(esk1_0,top))))
| join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != composition(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_27]),c_0_27]),c_0_27]),c_0_27]) ).
cnf(c_0_177,negated_conjecture,
join(composition(esk1_0,X1),complement(join(complement(X1),complement(composition(esk1_0,top))))) = composition(esk1_0,X1),
inference(spm,[status(thm)],[c_0_172,c_0_27]) ).
cnf(c_0_178,plain,
join(composition(X1,X2),join(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),top))))),X3)) = join(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),top))))),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_69]),c_0_63]),c_0_66]),c_0_66]),c_0_66]) ).
cnf(c_0_179,negated_conjecture,
join(composition(esk1_0,X1),composition(complement(join(esk1_0,complement(one))),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_174,c_0_87]),c_0_27]),c_0_66]),c_0_116]),c_0_34]),c_0_38]),c_0_175]),c_0_27]) ).
cnf(c_0_180,negated_conjecture,
complement(join(complement(esk3_0),complement(composition(esk1_0,top)))) != composition(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177]),c_0_177])]) ).
cnf(c_0_181,negated_conjecture,
composition(esk1_0,X1) = complement(join(complement(X1),complement(composition(esk1_0,top)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_116]),c_0_177]),c_0_116]) ).
cnf(c_0_182,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : REL026+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 09:38:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/21.49 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.32/21.49 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.32/21.49 # Preprocessing time : 0.015 s
% 0.32/21.49
% 0.32/21.49 # Proof found!
% 0.32/21.49 # SZS status Theorem
% 0.32/21.49 # SZS output start CNFRefutation
% See solution above
% 0.32/21.49 # Proof object total steps : 183
% 0.32/21.49 # Proof object clause steps : 152
% 0.32/21.49 # Proof object formula steps : 31
% 0.32/21.49 # Proof object conjectures : 83
% 0.32/21.49 # Proof object clause conjectures : 80
% 0.32/21.49 # Proof object formula conjectures : 3
% 0.32/21.49 # Proof object initial clauses used : 16
% 0.32/21.49 # Proof object initial formulas used : 15
% 0.32/21.49 # Proof object generating inferences : 117
% 0.32/21.49 # Proof object simplifying inferences : 251
% 0.32/21.49 # Training examples: 0 positive, 0 negative
% 0.32/21.49 # Parsed axioms : 17
% 0.32/21.49 # Removed by relevancy pruning/SinE : 1
% 0.32/21.49 # Initial clauses : 17
% 0.32/21.49 # Removed in clause preprocessing : 1
% 0.32/21.49 # Initial clauses in saturation : 16
% 0.32/21.49 # Processed clauses : 8303
% 0.32/21.49 # ...of these trivial : 4405
% 0.32/21.49 # ...subsumed : 1657
% 0.32/21.49 # ...remaining for further processing : 2241
% 0.32/21.49 # Other redundant clauses eliminated : 0
% 0.32/21.49 # Clauses deleted for lack of memory : 232540
% 0.32/21.49 # Backward-subsumed : 1
% 0.32/21.49 # Backward-rewritten : 1104
% 0.32/21.49 # Generated clauses : 542053
% 0.32/21.49 # ...of the previous two non-trivial : 430565
% 0.32/21.49 # Contextual simplify-reflections : 0
% 0.32/21.49 # Paramodulations : 542053
% 0.32/21.49 # Factorizations : 0
% 0.32/21.49 # Equation resolutions : 0
% 0.32/21.49 # Current number of processed clauses : 1136
% 0.32/21.49 # Positive orientable unit clauses : 1122
% 0.32/21.49 # Positive unorientable unit clauses: 14
% 0.32/21.49 # Negative unit clauses : 0
% 0.32/21.49 # Non-unit-clauses : 0
% 0.32/21.49 # Current number of unprocessed clauses: 70065
% 0.32/21.49 # ...number of literals in the above : 70065
% 0.32/21.49 # Current number of archived formulas : 0
% 0.32/21.49 # Current number of archived clauses : 1106
% 0.32/21.49 # Clause-clause subsumption calls (NU) : 0
% 0.32/21.49 # Rec. Clause-clause subsumption calls : 0
% 0.32/21.49 # Non-unit clause-clause subsumptions : 0
% 0.32/21.49 # Unit Clause-clause subsumption calls : 472
% 0.32/21.49 # Rewrite failures with RHS unbound : 5719
% 0.32/21.49 # BW rewrite match attempts : 41378
% 0.32/21.49 # BW rewrite match successes : 2815
% 0.32/21.49 # Condensation attempts : 0
% 0.32/21.49 # Condensation successes : 0
% 0.32/21.49 # Termbank termtop insertions : 27873430
% 0.32/21.49
% 0.32/21.49 # -------------------------------------------------
% 0.32/21.49 # User time : 20.930 s
% 0.32/21.49 # System time : 0.156 s
% 0.32/21.49 # Total time : 21.086 s
% 0.32/21.49 # Maximum resident set size: 157184 pages
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.42 eprover: No such file or directory
% 0.32/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.42 eprover: No such file or directory
% 0.32/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.42 eprover: No such file or directory
% 0.32/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.42 eprover: No such file or directory
% 0.32/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.42 eprover: No such file or directory
% 0.32/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.42 eprover: No such file or directory
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.43 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.44 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.45 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.46 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
% 0.32/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.32/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------