TSTP Solution File: REL033+2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : REL033+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:14:25 EDT 2023
% Result : Theorem 1223.57s 161.68s
% Output : CNFRefutation 1223.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of formulae : 129 ( 124 unt; 0 def)
% Number of atoms : 137 ( 136 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 3 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 201 ( 27 sgn; 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',maddux2_join_associativity) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',maddux1_join_commutativity) ).
fof(def_top,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',def_top) ).
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/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',maddux3_a_kind_of_de_Morgan) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',converse_cancellativity) ).
fof(composition_associativity,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',composition_associativity) ).
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',converse_multiplicativity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',converse_additivity) ).
fof(goals,conjecture,
! [X1,X2,X3] :
( composition(X1,top) = X1
=> ( join(composition(meet(X1,X2),X3),meet(X1,composition(X2,X3))) = meet(X1,composition(X2,X3))
& join(meet(X1,composition(X2,X3)),composition(meet(X1,X2),X3)) = composition(meet(X1,X2),X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',goals) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',converse_idempotence) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',composition_distributivity) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p',maddux4_definiton_of_meet) ).
fof(c_0_12,plain,
! [X21,X22,X23] : join(X21,join(X22,X23)) = join(join(X21,X22),X23),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
fof(c_0_13,plain,
! [X19,X20] : join(X19,X20) = join(X20,X19),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_14,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X24] : top = join(X24,complement(X24)),
inference(variable_rename,[status(thm)],[def_top]) ).
fof(c_0_17,plain,
! [X28,X29] : X28 = join(complement(join(complement(X28),complement(X29))),complement(join(complement(X28),X29))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
cnf(c_0_18,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_14]) ).
cnf(c_0_19,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
join(X1,join(X2,complement(X1))) = join(X2,top),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_23,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_24,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_25,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_26,plain,
join(top,complement(join(complement(X1),X2))) = join(top,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_14]),c_0_15]),c_0_23]),c_0_24]) ).
cnf(c_0_27,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_28,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19]),c_0_15]) ).
cnf(c_0_29,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_30,plain,
! [X15,X16] : join(composition(converse(X15),complement(composition(X15,X16))),complement(X16)) = complement(X16),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
cnf(c_0_31,plain,
join(X1,join(X2,complement(X1))) = top,
inference(rw,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_32,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_33,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_34,plain,
! [X7,X8,X9] : composition(X7,composition(X8,X9)) = composition(composition(X7,X8),X9),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
fof(c_0_35,plain,
! [X13,X14] : converse(composition(X13,X14)) = composition(converse(X14),converse(X13)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
cnf(c_0_36,plain,
join(X1,complement(complement(join(complement(X1),X2)))) = top,
inference(spm,[status(thm)],[c_0_31,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_15]) ).
cnf(c_0_38,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
join(X1,complement(complement(top))) = top,
inference(spm,[status(thm)],[c_0_36,c_0_36]) ).
fof(c_0_41,plain,
! [X26,X27] : converse(join(X26,X27)) = join(converse(X26),converse(X27)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_42,plain,
join(complement(X1),complement(join(complement(X1),join(complement(X2),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_22,c_0_22]),c_0_15]),c_0_14]),c_0_15]) ).
cnf(c_0_43,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_38]),c_0_39]),c_0_38]) ).
fof(c_0_44,negated_conjecture,
~ ! [X1,X2,X3] :
( composition(X1,top) = X1
=> ( join(composition(meet(X1,X2),X3),meet(X1,composition(X2,X3))) = meet(X1,composition(X2,X3))
& join(meet(X1,composition(X2,X3)),composition(meet(X1,X2),X3)) = composition(meet(X1,X2),X3) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_45,plain,
join(complement(complement(top)),X1) = top,
inference(spm,[status(thm)],[c_0_15,c_0_40]) ).
cnf(c_0_46,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_47,plain,
! [X25] : converse(converse(X25)) = X25,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_48,plain,
join(complement(X1),complement(top)) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_31]) ).
fof(c_0_49,negated_conjecture,
( composition(esk1_0,top) = esk1_0
& ( join(composition(meet(esk1_0,esk2_0),esk3_0),meet(esk1_0,composition(esk2_0,esk3_0))) != meet(esk1_0,composition(esk2_0,esk3_0))
| join(meet(esk1_0,composition(esk2_0,esk3_0)),composition(meet(esk1_0,esk2_0),esk3_0)) != composition(meet(esk1_0,esk2_0),esk3_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
cnf(c_0_50,plain,
complement(complement(top)) = top,
inference(spm,[status(thm)],[c_0_43,c_0_45]) ).
cnf(c_0_51,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_52,plain,
join(converse(X1),converse(complement(X1))) = converse(top),
inference(spm,[status(thm)],[c_0_46,c_0_19]) ).
cnf(c_0_53,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_55,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_48]),c_0_40]),c_0_48]) ).
cnf(c_0_56,plain,
join(X1,complement(top)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_48]),c_0_22]) ).
cnf(c_0_57,negated_conjecture,
composition(esk1_0,top) = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,plain,
join(complement(top),complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_50]),c_0_51]),c_0_51]) ).
cnf(c_0_59,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,plain,
complement(join(X1,X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_19]),c_0_55]),c_0_56]) ).
fof(c_0_61,plain,
! [X10,X11,X12] : composition(join(X10,X11),X12) = join(composition(X10,X12),composition(X11,X12)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
cnf(c_0_62,negated_conjecture,
composition(converse(top),converse(esk1_0)) = converse(esk1_0),
inference(spm,[status(thm)],[c_0_39,c_0_57]) ).
cnf(c_0_63,plain,
join(complement(top),join(X1,complement(top))) = join(X1,complement(top)),
inference(spm,[status(thm)],[c_0_23,c_0_58]) ).
cnf(c_0_64,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_65,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_60]),c_0_22]) ).
cnf(c_0_66,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_67,negated_conjecture,
composition(converse(top),composition(converse(esk1_0),X1)) = composition(converse(esk1_0),X1),
inference(spm,[status(thm)],[c_0_38,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
join(complement(top),composition(converse(esk1_0),complement(esk1_0))) = complement(top),
inference(spm,[status(thm)],[c_0_37,c_0_57]) ).
cnf(c_0_69,plain,
join(complement(top),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_56]),c_0_56]) ).
cnf(c_0_70,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_59,c_0_64]) ).
cnf(c_0_71,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_65]),c_0_14]),c_0_65]) ).
cnf(c_0_72,plain,
join(composition(X1,X2),composition(top,X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_66,c_0_29]) ).
cnf(c_0_73,negated_conjecture,
composition(top,converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[c_0_62,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
composition(top,composition(converse(esk1_0),X1)) = composition(converse(esk1_0),X1),
inference(rw,[status(thm)],[c_0_67,c_0_64]) ).
cnf(c_0_75,negated_conjecture,
composition(converse(esk1_0),complement(esk1_0)) = complement(top),
inference(rw,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,plain,
converse(complement(converse(complement(top)))) = top,
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_77,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_22]),c_0_15]) ).
cnf(c_0_78,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_23,c_0_65]) ).
cnf(c_0_79,negated_conjecture,
join(converse(esk1_0),composition(X1,converse(esk1_0))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_15]) ).
cnf(c_0_80,plain,
join(composition(top,X1),composition(X2,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_66,c_0_51]) ).
cnf(c_0_81,negated_conjecture,
composition(top,complement(top)) = complement(top),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,plain,
complement(converse(complement(top))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_76]),c_0_64]) ).
cnf(c_0_83,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,negated_conjecture,
join(esk1_0,composition(esk1_0,converse(X1))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_79]),c_0_53]),c_0_53]),c_0_39]),c_0_53]) ).
cnf(c_0_85,negated_conjecture,
composition(X1,complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_69]) ).
cnf(c_0_86,plain,
converse(complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_82]),c_0_51]),c_0_51]),c_0_48]) ).
cnf(c_0_87,plain,
complement(join(complement(X1),complement(join(X2,complement(join(complement(X1),X2)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_25]),c_0_69]) ).
cnf(c_0_88,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_83,c_0_55]) ).
cnf(c_0_89,negated_conjecture,
join(esk1_0,composition(esk1_0,X1)) = esk1_0,
inference(spm,[status(thm)],[c_0_84,c_0_53]) ).
cnf(c_0_90,negated_conjecture,
composition(complement(top),converse(X1)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_85]),c_0_86]),c_0_86]) ).
cnf(c_0_91,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_87]),c_0_88]) ).
cnf(c_0_92,negated_conjecture,
join(esk1_0,join(composition(esk1_0,X1),X2)) = join(esk1_0,X2),
inference(spm,[status(thm)],[c_0_14,c_0_89]) ).
cnf(c_0_93,plain,
join(composition(X1,X2),composition(complement(X1),X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_66,c_0_19]) ).
cnf(c_0_94,negated_conjecture,
composition(complement(top),X1) = complement(top),
inference(spm,[status(thm)],[c_0_90,c_0_53]) ).
cnf(c_0_95,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_91]),c_0_71]) ).
cnf(c_0_96,negated_conjecture,
join(esk1_0,composition(complement(esk1_0),X1)) = join(esk1_0,composition(top,X1)),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,plain,
join(converse(X1),converse(complement(X1))) = top,
inference(rw,[status(thm)],[c_0_52,c_0_64]) ).
cnf(c_0_98,negated_conjecture,
composition(converse(esk1_0),composition(complement(esk1_0),X1)) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_75]),c_0_94]) ).
cnf(c_0_99,negated_conjecture,
join(esk1_0,complement(composition(complement(esk1_0),X1))) = join(esk1_0,complement(composition(top,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_95]) ).
cnf(c_0_100,plain,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_97]),c_0_56]) ).
cnf(c_0_101,negated_conjecture,
complement(composition(complement(esk1_0),X1)) = join(esk1_0,complement(composition(top,X1))),
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_37,c_0_98]),c_0_53]),c_0_55]),c_0_57]),c_0_15]),c_0_99]) ).
cnf(c_0_102,plain,
join(X1,complement(join(X2,join(X3,X1)))) = join(X1,complement(join(X2,X3))),
inference(spm,[status(thm)],[c_0_95,c_0_23]) ).
cnf(c_0_103,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_100]),c_0_53]),c_0_53]) ).
cnf(c_0_104,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_77,c_0_55]) ).
cnf(c_0_105,negated_conjecture,
complement(join(esk1_0,complement(composition(top,X1)))) = composition(complement(esk1_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_101]),c_0_14]),c_0_102]),c_0_83]) ).
cnf(c_0_106,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_103,c_0_55]) ).
cnf(c_0_107,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_70]),c_0_56]) ).
cnf(c_0_108,negated_conjecture,
join(complement(esk1_0),composition(complement(esk1_0),X1)) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_95,c_0_15]) ).
cnf(c_0_110,plain,
join(composition(X1,X2),composition(complement(join(X1,X3)),X2)) = join(composition(X1,X2),composition(complement(X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_95]),c_0_66]) ).
cnf(c_0_111,plain,
complement(converse(complement(converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_106]),c_0_55]),c_0_15]),c_0_107]) ).
cnf(c_0_112,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_22,c_0_55]) ).
cnf(c_0_113,negated_conjecture,
join(complement(esk1_0),join(composition(complement(esk1_0),X1),X2)) = join(complement(esk1_0),X2),
inference(spm,[status(thm)],[c_0_14,c_0_108]) ).
cnf(c_0_114,plain,
join(composition(X1,X2),composition(complement(join(X3,X1)),X2)) = join(composition(X1,X2),composition(complement(X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_109]),c_0_66]) ).
cnf(c_0_115,negated_conjecture,
join(esk1_0,composition(complement(join(esk1_0,X1)),X2)) = join(esk1_0,composition(complement(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_110]),c_0_92]) ).
cnf(c_0_116,plain,
join(X1,join(X2,converse(complement(converse(X1))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_70]),c_0_29]) ).
cnf(c_0_117,plain,
converse(complement(converse(X1))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_111]),c_0_109]),c_0_83]) ).
cnf(c_0_118,plain,
join(complement(join(X1,complement(X2))),complement(join(X2,X1))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_109]),c_0_55]),c_0_78]) ).
cnf(c_0_119,negated_conjecture,
join(complement(esk1_0),composition(complement(join(X1,complement(esk1_0))),X2)) = join(complement(esk1_0),composition(complement(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_113]) ).
cnf(c_0_120,negated_conjecture,
join(esk1_0,composition(complement(join(X1,complement(esk1_0))),X2)) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_94]),c_0_56]),c_0_117]) ).
fof(c_0_121,plain,
! [X17,X18] : meet(X17,X18) = complement(join(complement(X17),complement(X18))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_122,negated_conjecture,
complement(composition(complement(join(X1,complement(esk1_0))),X2)) = join(complement(esk1_0),complement(composition(complement(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_55]),c_0_15]),c_0_120]),c_0_95]) ).
cnf(c_0_123,negated_conjecture,
( join(composition(meet(esk1_0,esk2_0),esk3_0),meet(esk1_0,composition(esk2_0,esk3_0))) != meet(esk1_0,composition(esk2_0,esk3_0))
| join(meet(esk1_0,composition(esk2_0,esk3_0)),composition(meet(esk1_0,esk2_0),esk3_0)) != composition(meet(esk1_0,esk2_0),esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_124,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_125,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(complement(X1),X2)))) = composition(complement(join(X1,complement(esk1_0))),X2),
inference(spm,[status(thm)],[c_0_55,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( join(composition(complement(join(complement(esk2_0),complement(esk1_0))),esk3_0),complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0))))) != composition(complement(join(complement(esk2_0),complement(esk1_0))),esk3_0)
| join(composition(complement(join(complement(esk2_0),complement(esk1_0))),esk3_0),complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0))))) != complement(join(complement(esk1_0),complement(composition(esk2_0,esk3_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_15]),c_0_124]),c_0_15]),c_0_124]),c_0_124]),c_0_15]),c_0_124]),c_0_15]),c_0_124]),c_0_124]) ).
cnf(c_0_127,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(X1,X2)))) = composition(complement(join(complement(X1),complement(esk1_0))),X2),
inference(spm,[status(thm)],[c_0_125,c_0_55]) ).
cnf(c_0_128,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_126,c_0_127]),c_0_65]),c_0_127]),c_0_65]),c_0_127])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL033+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 15:06:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.51 Running first-order model finding
% 0.20/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.9ONhAchbb0/E---3.1_29224.p
% 1223.57/161.68 # Version: 3.1pre001
% 1223.57/161.68 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1223.57/161.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1223.57/161.68 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1223.57/161.68 # Starting new_bool_3 with 300s (1) cores
% 1223.57/161.68 # Starting new_bool_1 with 300s (1) cores
% 1223.57/161.68 # Starting sh5l with 300s (1) cores
% 1223.57/161.68 # new_bool_3 with pid 29340 completed with status 0
% 1223.57/161.68 # Result found by new_bool_3
% 1223.57/161.68 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1223.57/161.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1223.57/161.68 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1223.57/161.68 # Starting new_bool_3 with 300s (1) cores
% 1223.57/161.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1223.57/161.68 # Search class: FUHPM-FFSF21-MFFFFFNN
% 1223.57/161.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1223.57/161.68 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 1223.57/161.68 # H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 29350 completed with status 0
% 1223.57/161.68 # Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 1223.57/161.68 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1223.57/161.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1223.57/161.68 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1223.57/161.68 # Starting new_bool_3 with 300s (1) cores
% 1223.57/161.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1223.57/161.68 # Search class: FUHPM-FFSF21-MFFFFFNN
% 1223.57/161.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1223.57/161.68 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 1223.57/161.68 # Preprocessing time : 0.002 s
% 1223.57/161.68
% 1223.57/161.68 # Proof found!
% 1223.57/161.68 # SZS status Theorem
% 1223.57/161.68 # SZS output start CNFRefutation
% See solution above
% 1223.57/161.68 # Parsed axioms : 14
% 1223.57/161.68 # Removed by relevancy pruning/SinE : 2
% 1223.57/161.68 # Initial clauses : 13
% 1223.57/161.68 # Removed in clause preprocessing : 0
% 1223.57/161.68 # Initial clauses in saturation : 13
% 1223.57/161.68 # Processed clauses : 99471
% 1223.57/161.68 # ...of these trivial : 63364
% 1223.57/161.68 # ...subsumed : 31648
% 1223.57/161.68 # ...remaining for further processing : 4459
% 1223.57/161.68 # Other redundant clauses eliminated : 0
% 1223.57/161.68 # Clauses deleted for lack of memory : 385757
% 1223.57/161.68 # Backward-subsumed : 1
% 1223.57/161.68 # Backward-rewritten : 779
% 1223.57/161.68 # Generated clauses : 5884573
% 1223.57/161.68 # ...of the previous two non-redundant : 3282694
% 1223.57/161.68 # ...aggressively subsumed : 0
% 1223.57/161.68 # Contextual simplify-reflections : 0
% 1223.57/161.68 # Paramodulations : 5884573
% 1223.57/161.68 # Factorizations : 0
% 1223.57/161.68 # NegExts : 0
% 1223.57/161.68 # Equation resolutions : 0
% 1223.57/161.68 # Total rewrite steps : 21136745
% 1223.57/161.68 # Propositional unsat checks : 0
% 1223.57/161.68 # Propositional check models : 0
% 1223.57/161.68 # Propositional check unsatisfiable : 0
% 1223.57/161.68 # Propositional clauses : 0
% 1223.57/161.68 # Propositional clauses after purity: 0
% 1223.57/161.68 # Propositional unsat core size : 0
% 1223.57/161.68 # Propositional preprocessing time : 0.000
% 1223.57/161.68 # Propositional encoding time : 0.000
% 1223.57/161.68 # Propositional solver time : 0.000
% 1223.57/161.68 # Success case prop preproc time : 0.000
% 1223.57/161.68 # Success case prop encoding time : 0.000
% 1223.57/161.68 # Success case prop solver time : 0.000
% 1223.57/161.68 # Current number of processed clauses : 3679
% 1223.57/161.68 # Positive orientable unit clauses : 3599
% 1223.57/161.68 # Positive unorientable unit clauses: 80
% 1223.57/161.68 # Negative unit clauses : 0
% 1223.57/161.68 # Non-unit-clauses : 0
% 1223.57/161.68 # Current number of unprocessed clauses: 1643675
% 1223.57/161.68 # ...number of literals in the above : 1643675
% 1223.57/161.68 # Current number of archived formulas : 0
% 1223.57/161.68 # Current number of archived clauses : 780
% 1223.57/161.68 # Clause-clause subsumption calls (NU) : 0
% 1223.57/161.68 # Rec. Clause-clause subsumption calls : 0
% 1223.57/161.68 # Non-unit clause-clause subsumptions : 0
% 1223.57/161.68 # Unit Clause-clause subsumption calls : 2345
% 1223.57/161.68 # Rewrite failures with RHS unbound : 34809
% 1223.57/161.68 # BW rewrite match attempts : 152761
% 1223.57/161.68 # BW rewrite match successes : 5315
% 1223.57/161.68 # Condensation attempts : 0
% 1223.57/161.68 # Condensation successes : 0
% 1223.57/161.68 # Termbank termtop insertions : 146802494
% 1223.57/161.68
% 1223.57/161.68 # -------------------------------------------------
% 1223.57/161.68 # User time : 157.182 s
% 1223.57/161.68 # System time : 2.217 s
% 1223.57/161.68 # Total time : 159.399 s
% 1223.57/161.68 # Maximum resident set size: 1748 pages
% 1223.57/161.68
% 1223.57/161.68 # -------------------------------------------------
% 1223.57/161.68 # User time : 157.182 s
% 1223.57/161.68 # System time : 2.226 s
% 1223.57/161.68 # Total time : 159.408 s
% 1223.57/161.68 # Maximum resident set size: 1680 pages
% 1223.57/161.68 % E---3.1 exiting
%------------------------------------------------------------------------------