TSTP Solution File: REL029+4 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : REL029+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 19:13:43 EDT 2023
% Result : Theorem 46.72s 6.32s
% Output : CNFRefutation 46.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 15
% Syntax : Number of formulae : 201 ( 195 unt; 0 def)
% Number of atoms : 213 ( 212 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 4 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 308 ( 31 sgn; 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',converse_multiplicativity) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',composition_identity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',converse_idempotence) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',converse_cancellativity) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',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/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',maddux2_join_associativity) ).
fof(def_top,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',def_top) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',maddux4_definiton_of_meet) ).
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/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',maddux3_a_kind_of_de_Morgan) ).
fof(def_zero,axiom,
! [X1] : zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',def_zero) ).
fof(goals,conjecture,
! [X1,X2,X3] :
( ( join(X1,one) = one
& join(X2,one) = one )
=> ( join(meet(composition(X1,X3),composition(X2,X3)),composition(meet(X1,X2),X3)) = composition(meet(X1,X2),X3)
& join(composition(meet(X1,X2),X3),meet(composition(X1,X3),composition(X2,X3))) = meet(composition(X1,X3),composition(X2,X3)) ) ),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',goals) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',composition_distributivity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',converse_additivity) ).
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/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',dedekind_law) ).
fof(composition_associativity,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p',composition_associativity) ).
fof(c_0_15,plain,
! [X25,X26] : converse(composition(X25,X26)) = composition(converse(X26),converse(X25)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_16,plain,
! [X21] : composition(X21,one) = X21,
inference(variable_rename,[status(thm)],[composition_identity]) ).
cnf(c_0_17,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X40] : converse(converse(X40)) = X40,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_20,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_22,plain,
! [X27,X28] : join(composition(converse(X27),complement(composition(X27,X28))),complement(X28)) = complement(X28),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
fof(c_0_23,plain,
! [X29,X30] : join(X29,X30) = join(X30,X29),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_24,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
fof(c_0_28,plain,
! [X31,X32,X33] : join(X31,join(X32,X33)) = join(join(X31,X32),X33),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
fof(c_0_29,plain,
! [X38] : top = join(X38,complement(X38)),
inference(variable_rename,[status(thm)],[def_top]) ).
fof(c_0_30,plain,
! [X7,X8] : meet(X7,X8) = complement(join(complement(X7),complement(X8))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_31,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_24,c_0_27]) ).
cnf(c_0_33,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_27]),c_0_32]) ).
fof(c_0_37,plain,
! [X34,X35] : X34 = join(complement(join(complement(X34),complement(X35))),complement(join(complement(X34),X35))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
cnf(c_0_38,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
complement(complement(X1)) = meet(X1,X1),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_40,plain,
! [X39] : zero = meet(X39,complement(X39)),
inference(variable_rename,[status(thm)],[def_zero]) ).
cnf(c_0_41,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_34]) ).
cnf(c_0_43,plain,
join(top,meet(X1,X1)) = join(X1,top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_39]) ).
cnf(c_0_44,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_46,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_39]),c_0_43]) ).
cnf(c_0_47,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_34]),c_0_44]) ).
cnf(c_0_48,plain,
join(zero,meet(X1,top)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_26]) ).
cnf(c_0_49,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_26]),c_0_35]) ).
cnf(c_0_50,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(spm,[status(thm)],[c_0_35,c_0_47]) ).
cnf(c_0_51,plain,
join(zero,meet(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_44]),c_0_35]) ).
cnf(c_0_52,plain,
join(zero,meet(top,X1)) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,plain,
meet(top,complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_39]),c_0_51]) ).
cnf(c_0_54,plain,
join(zero,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_39]),c_0_51]) ).
cnf(c_0_56,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_26,c_0_46]) ).
cnf(c_0_57,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_39,c_0_55]) ).
cnf(c_0_58,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[c_0_38,c_0_56]) ).
cnf(c_0_59,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_36,c_0_57]) ).
cnf(c_0_60,plain,
join(X1,join(X2,complement(X1))) = top,
inference(spm,[status(thm)],[c_0_58,c_0_26]) ).
fof(c_0_61,negated_conjecture,
~ ! [X1,X2,X3] :
( ( join(X1,one) = one
& join(X2,one) = one )
=> ( join(meet(composition(X1,X3),composition(X2,X3)),composition(meet(X1,X2),X3)) = composition(meet(X1,X2),X3)
& join(composition(meet(X1,X2),X3),meet(composition(X1,X3),composition(X2,X3))) = meet(composition(X1,X3),composition(X2,X3)) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_62,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_59]) ).
cnf(c_0_63,plain,
join(complement(X1),join(X2,X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_45]),c_0_33]) ).
cnf(c_0_64,plain,
join(zero,X1) = X1,
inference(rw,[status(thm)],[c_0_51,c_0_55]) ).
fof(c_0_65,plain,
! [X22,X23,X24] : composition(join(X22,X23),X24) = join(composition(X22,X24),composition(X23,X24)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
fof(c_0_66,plain,
! [X36,X37] : converse(join(X36,X37)) = join(converse(X36),converse(X37)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
fof(c_0_67,negated_conjecture,
( join(esk1_0,one) = one
& join(esk2_0,one) = one
& ( join(meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0)),composition(meet(esk1_0,esk2_0),esk3_0)) != composition(meet(esk1_0,esk2_0),esk3_0)
| join(composition(meet(esk1_0,esk2_0),esk3_0),meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0))) != meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
cnf(c_0_68,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_45]),c_0_26]) ).
cnf(c_0_69,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_35,c_0_57]) ).
cnf(c_0_70,plain,
join(complement(X1),join(X1,X2)) = top,
inference(spm,[status(thm)],[c_0_63,c_0_26]) ).
cnf(c_0_71,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_64]) ).
cnf(c_0_72,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_73,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,negated_conjecture,
join(esk2_0,one) = one,
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_68,c_0_49]) ).
cnf(c_0_76,plain,
complement(join(X1,X2)) = meet(complement(X1),complement(X2)),
inference(spm,[status(thm)],[c_0_69,c_0_57]) ).
cnf(c_0_77,plain,
meet(X1,join(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_70]),c_0_47]),c_0_71]) ).
cnf(c_0_78,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_62,c_0_26]) ).
cnf(c_0_79,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_32]),c_0_26]) ).
cnf(c_0_80,plain,
join(converse(X1),converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_73,c_0_46]) ).
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_33,c_0_26]),c_0_33]) ).
cnf(c_0_82,plain,
join(composition(join(X1,X2),X3),X4) = join(composition(X1,X3),join(composition(X2,X3),X4)),
inference(spm,[status(thm)],[c_0_33,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
join(one,esk2_0) = one,
inference(rw,[status(thm)],[c_0_74,c_0_26]) ).
cnf(c_0_84,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_33,c_0_75]) ).
cnf(c_0_85,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_76]),c_0_39]),c_0_55]) ).
cnf(c_0_86,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_87,plain,
composition(join(X1,one),top) = top,
inference(spm,[status(thm)],[c_0_79,c_0_56]) ).
cnf(c_0_88,plain,
join(X1,converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_80,c_0_21]) ).
cnf(c_0_89,plain,
join(X1,join(X2,meet(X1,X3))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_81,c_0_68]) ).
cnf(c_0_90,negated_conjecture,
join(X1,join(composition(esk2_0,X1),X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_32]),c_0_32]) ).
cnf(c_0_91,plain,
join(X1,meet(X2,complement(X1))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,plain,
complement(meet(X1,X2)) = join(complement(X1),complement(X2)),
inference(spm,[status(thm)],[c_0_57,c_0_35]) ).
cnf(c_0_93,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_86,c_0_33]) ).
cnf(c_0_94,plain,
composition(top,top) = top,
inference(spm,[status(thm)],[c_0_87,c_0_56]) ).
cnf(c_0_95,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_56,c_0_88]) ).
cnf(c_0_96,plain,
join(X1,composition(top,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_79,c_0_56]) ).
cnf(c_0_97,plain,
join(converse(zero),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_73,c_0_64]) ).
cnf(c_0_98,plain,
join(converse(X1),converse(meet(X1,X2))) = converse(X1),
inference(spm,[status(thm)],[c_0_73,c_0_68]) ).
cnf(c_0_99,negated_conjecture,
join(X1,composition(esk2_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_68]),c_0_26]) ).
cnf(c_0_100,plain,
meet(complement(X1),join(complement(X2),X1)) = meet(complement(X1),complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_91]),c_0_76]),c_0_92]),c_0_39]),c_0_55]) ).
cnf(c_0_101,plain,
meet(meet(X1,X2),join(X3,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_93,c_0_75]) ).
cnf(c_0_102,plain,
composition(top,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_31,c_0_94]),c_0_47]),c_0_47]),c_0_47]),c_0_95]),c_0_96]) ).
cnf(c_0_103,plain,
join(converse(zero),X1) = X1,
inference(spm,[status(thm)],[c_0_97,c_0_21]) ).
fof(c_0_104,plain,
! [X9,X10,X11] : join(meet(composition(X9,X10),X11),composition(meet(X9,composition(X11,converse(X10))),meet(X10,composition(converse(X9),X11)))) = composition(meet(X9,composition(X11,converse(X10))),meet(X10,composition(converse(X9),X11))),
inference(variable_rename,[status(thm)],[dedekind_law]) ).
cnf(c_0_105,plain,
join(X1,converse(meet(converse(X1),X2))) = X1,
inference(spm,[status(thm)],[c_0_98,c_0_21]) ).
cnf(c_0_106,negated_conjecture,
meet(X1,composition(esk2_0,X1)) = composition(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_99]),c_0_49]) ).
cnf(c_0_107,plain,
meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_100,c_0_57]) ).
cnf(c_0_108,plain,
meet(join(X1,X2),meet(X3,X2)) = meet(X3,X2),
inference(spm,[status(thm)],[c_0_49,c_0_101]) ).
cnf(c_0_109,plain,
composition(X1,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_102]),c_0_64]),c_0_56]),c_0_102]) ).
cnf(c_0_110,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_71,c_0_103]) ).
cnf(c_0_111,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_104]) ).
cnf(c_0_112,negated_conjecture,
join(X1,composition(X1,converse(esk2_0))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_17]),c_0_21]) ).
cnf(c_0_113,negated_conjecture,
join(one,converse(esk2_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_83]),c_0_27]),c_0_27]) ).
cnf(c_0_114,plain,
meet(X1,join(complement(X1),X2)) = meet(X1,X2),
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_107,c_0_85]),c_0_92]),c_0_57]),c_0_92]),c_0_57]),c_0_108]),c_0_49]) ).
cnf(c_0_115,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_31,c_0_18]) ).
cnf(c_0_116,plain,
composition(zero,converse(X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_109]),c_0_110]),c_0_110]) ).
cnf(c_0_117,plain,
join(converse(X1),converse(complement(X1))) = converse(top),
inference(spm,[status(thm)],[c_0_73,c_0_34]) ).
cnf(c_0_118,plain,
join(meet(one,composition(X1,X2)),composition(meet(X1,converse(X2)),meet(X2,converse(X1)))) = composition(meet(X1,converse(X2)),meet(X2,converse(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_18]),c_0_49]),c_0_32]),c_0_32]) ).
cnf(c_0_119,negated_conjecture,
meet(X1,composition(X1,converse(esk2_0))) = composition(X1,converse(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_112]),c_0_49]) ).
cnf(c_0_120,negated_conjecture,
meet(one,esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_49]) ).
cnf(c_0_121,negated_conjecture,
meet(one,converse(esk2_0)) = converse(esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_113]),c_0_49]) ).
cnf(c_0_122,plain,
join(meet(composition(X1,converse(X2)),X3),composition(meet(X1,composition(X3,X2)),meet(converse(X2),composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,X2)),meet(converse(X2),composition(converse(X1),X3))),
inference(spm,[status(thm)],[c_0_111,c_0_21]) ).
cnf(c_0_123,plain,
meet(one,composition(converse(X1),complement(X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_44]) ).
cnf(c_0_124,plain,
composition(zero,X1) = zero,
inference(spm,[status(thm)],[c_0_116,c_0_21]) ).
cnf(c_0_125,plain,
join(converse(X1),converse(complement(X1))) = top,
inference(rw,[status(thm)],[c_0_117,c_0_95]) ).
cnf(c_0_126,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_127,negated_conjecture,
composition(esk2_0,converse(esk2_0)) = converse(esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_32]),c_0_21]),c_0_120]),c_0_27]),c_0_49]),c_0_121]),c_0_99]),c_0_21]),c_0_120]),c_0_27]),c_0_49]),c_0_121]) ).
cnf(c_0_128,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_85,c_0_49]) ).
cnf(c_0_129,plain,
meet(converse(X1),converse(complement(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_32]),c_0_24]),c_0_124]),c_0_71]),c_0_24]),c_0_124]),c_0_49]) ).
cnf(c_0_130,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(spm,[status(thm)],[c_0_125,c_0_21]) ).
cnf(c_0_131,plain,
meet(X1,top) = X1,
inference(rw,[status(thm)],[c_0_48,c_0_64]) ).
cnf(c_0_132,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_126,c_0_26]) ).
cnf(c_0_133,negated_conjecture,
converse(esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_127]),c_0_21]),c_0_21]),c_0_127]) ).
cnf(c_0_134,plain,
join(meet(complement(X1),X2),meet(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_26,c_0_128]) ).
cnf(c_0_135,plain,
meet(X1,converse(complement(converse(X1)))) = zero,
inference(spm,[status(thm)],[c_0_129,c_0_21]) ).
cnf(c_0_136,plain,
meet(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_130]),c_0_131]) ).
cnf(c_0_137,negated_conjecture,
join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_132]),c_0_32]),c_0_32]) ).
cnf(c_0_138,negated_conjecture,
join(X1,composition(X1,esk2_0)) = X1,
inference(spm,[status(thm)],[c_0_112,c_0_133]) ).
cnf(c_0_139,plain,
converse(complement(converse(complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_49]),c_0_136]),c_0_64]) ).
cnf(c_0_140,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_137]),c_0_68]),c_0_26]) ).
cnf(c_0_141,plain,
join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))) = composition(converse(X1),join(converse(X2),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_72]),c_0_17]),c_0_73]),c_0_17]),c_0_17]) ).
cnf(c_0_142,negated_conjecture,
join(X1,join(composition(X1,esk2_0),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_138]) ).
cnf(c_0_143,plain,
complement(converse(complement(X1))) = converse(X1),
inference(spm,[status(thm)],[c_0_21,c_0_139]) ).
cnf(c_0_144,negated_conjecture,
meet(X1,composition(esk1_0,X1)) = composition(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_140]),c_0_49]) ).
cnf(c_0_145,plain,
join(composition(converse(X1),converse(X2)),composition(converse(X1),X3)) = composition(converse(X1),join(converse(X2),X3)),
inference(spm,[status(thm)],[c_0_141,c_0_21]) ).
cnf(c_0_146,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_26,c_0_33]) ).
cnf(c_0_147,negated_conjecture,
join(X1,composition(join(X1,X2),esk2_0)) = join(X1,composition(X2,esk2_0)),
inference(spm,[status(thm)],[c_0_142,c_0_72]) ).
cnf(c_0_148,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[c_0_57,c_0_143]) ).
cnf(c_0_149,negated_conjecture,
join(X1,composition(X1,converse(esk1_0))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_144]),c_0_17]),c_0_21]) ).
cnf(c_0_150,negated_conjecture,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_132]),c_0_27]),c_0_27]) ).
cnf(c_0_151,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_91,c_0_49]) ).
cnf(c_0_152,plain,
join(composition(X1,converse(X2)),composition(X1,X3)) = composition(X1,join(converse(X2),X3)),
inference(spm,[status(thm)],[c_0_145,c_0_21]) ).
cnf(c_0_153,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_77,c_0_146]) ).
cnf(c_0_154,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_33,c_0_68]) ).
cnf(c_0_155,negated_conjecture,
join(X1,composition(complement(X1),esk2_0)) = join(X1,composition(top,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_130]),c_0_148]),c_0_21]) ).
cnf(c_0_156,negated_conjecture,
meet(X1,composition(X1,esk2_0)) = composition(X1,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_133]),c_0_133]) ).
cnf(c_0_157,negated_conjecture,
meet(X1,composition(X1,converse(esk1_0))) = composition(X1,converse(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_149]),c_0_49]) ).
cnf(c_0_158,negated_conjecture,
meet(one,esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_132]),c_0_49]) ).
cnf(c_0_159,negated_conjecture,
meet(one,converse(esk1_0)) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_150]),c_0_49]) ).
cnf(c_0_160,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_161,plain,
meet(meet(complement(X1),complement(X2)),complement(X3)) = meet(complement(X1),meet(complement(X2),complement(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_33]),c_0_76]),c_0_76]),c_0_76]) ).
cnf(c_0_162,plain,
meet(join(X1,X2),join(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_151]),c_0_92]),c_0_39]),c_0_55]),c_0_92]),c_0_39]),c_0_55]),c_0_49]),c_0_77]),c_0_49]) ).
cnf(c_0_163,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_152,c_0_21]) ).
cnf(c_0_164,plain,
meet(meet(X1,X2),join(X1,X3)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_165,negated_conjecture,
meet(X1,composition(top,esk2_0)) = composition(X1,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_155]),c_0_114]),c_0_39]),c_0_55]),c_0_156]) ).
cnf(c_0_166,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(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_118,c_0_157]),c_0_32]),c_0_21]),c_0_158]),c_0_27]),c_0_49]),c_0_159]),c_0_140]),c_0_21]),c_0_158]),c_0_27]),c_0_49]),c_0_159]) ).
cnf(c_0_167,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_72,c_0_32]) ).
cnf(c_0_168,negated_conjecture,
join(X1,complement(composition(esk1_0,X1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_137]),c_0_76]),c_0_151]) ).
cnf(c_0_169,plain,
meet(meet(X1,X2),join(X2,X3)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_153,c_0_84]) ).
cnf(c_0_170,plain,
meet(meet(complement(X1),complement(X2)),X3) = meet(complement(X1),meet(complement(X2),X3)),
inference(spm,[status(thm)],[c_0_161,c_0_57]) ).
cnf(c_0_171,plain,
meet(join(X1,X2),join(complement(X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_162,c_0_26]) ).
cnf(c_0_172,negated_conjecture,
join(X1,composition(esk2_0,join(X1,X2))) = join(X1,composition(esk2_0,X2)),
inference(spm,[status(thm)],[c_0_90,c_0_163]) ).
cnf(c_0_173,plain,
meet(composition(top,X1),meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_96]),c_0_49]) ).
cnf(c_0_174,negated_conjecture,
meet(composition(top,esk2_0),X1) = composition(X1,esk2_0),
inference(spm,[status(thm)],[c_0_49,c_0_165]) ).
cnf(c_0_175,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_17,c_0_166]),c_0_21]),c_0_21]),c_0_166]) ).
fof(c_0_176,plain,
! [X18,X19,X20] : composition(X18,composition(X19,X20)) = composition(composition(X18,X19),X20),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_177,negated_conjecture,
join(X1,join(X2,composition(X1,esk2_0))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_81,c_0_138]) ).
cnf(c_0_178,negated_conjecture,
join(X1,composition(complement(esk1_0),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_18]) ).
cnf(c_0_179,plain,
meet(join(X1,X2),meet(X3,X1)) = meet(X3,X1),
inference(spm,[status(thm)],[c_0_49,c_0_169]) ).
cnf(c_0_180,plain,
meet(meet(complement(X1),X2),X3) = meet(complement(X1),meet(X2,X3)),
inference(spm,[status(thm)],[c_0_170,c_0_57]) ).
cnf(c_0_181,plain,
meet(join(X1,X2),complement(X1)) = meet(X2,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_75]),c_0_26]),c_0_91]) ).
cnf(c_0_182,negated_conjecture,
join(X1,composition(esk2_0,complement(X1))) = join(X1,composition(esk2_0,top)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_130]),c_0_148]),c_0_21]) ).
cnf(c_0_183,negated_conjecture,
composition(meet(esk2_0,X1),esk2_0) = meet(esk2_0,X1),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_184,negated_conjecture,
meet(X1,composition(X1,esk1_0)) = composition(X1,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_175]),c_0_175]) ).
cnf(c_0_185,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_186,negated_conjecture,
( join(meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0)),composition(meet(esk1_0,esk2_0),esk3_0)) != composition(meet(esk1_0,esk2_0),esk3_0)
| join(composition(meet(esk1_0,esk2_0),esk3_0),meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0))) != meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_187,negated_conjecture,
join(composition(top,esk2_0),complement(esk1_0)) = join(esk2_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_26]) ).
cnf(c_0_188,plain,
meet(X1,join(X2,complement(X1))) = meet(X1,X2),
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_107,c_0_128]),c_0_92]),c_0_39]),c_0_55]),c_0_92]),c_0_39]),c_0_55]),c_0_179]),c_0_49]) ).
cnf(c_0_189,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_180,c_0_57]) ).
cnf(c_0_190,negated_conjecture,
meet(composition(esk2_0,top),complement(X1)) = composition(esk2_0,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_181]),c_0_49]),c_0_106]) ).
cnf(c_0_191,negated_conjecture,
composition(esk2_0,composition(esk1_0,esk2_0)) = composition(esk2_0,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).
cnf(c_0_192,negated_conjecture,
( join(composition(meet(esk1_0,esk2_0),esk3_0),meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0))) != meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0))
| join(composition(meet(esk1_0,esk2_0),esk3_0),meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0))) != composition(meet(esk1_0,esk2_0),esk3_0) ),
inference(rw,[status(thm)],[c_0_186,c_0_26]) ).
cnf(c_0_193,negated_conjecture,
meet(esk1_0,esk2_0) = composition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_187]),c_0_39]),c_0_55]),c_0_188]),c_0_39]),c_0_55]),c_0_165]) ).
cnf(c_0_194,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_49]),c_0_189]) ).
cnf(c_0_195,negated_conjecture,
meet(composition(esk2_0,top),X1) = composition(esk2_0,X1),
inference(spm,[status(thm)],[c_0_190,c_0_57]) ).
cnf(c_0_196,negated_conjecture,
composition(esk2_0,esk1_0) = composition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_191]),c_0_17]),c_0_175]),c_0_133]),c_0_17]),c_0_133]),c_0_175]),c_0_133]),c_0_185]),c_0_191]) ).
cnf(c_0_197,negated_conjecture,
( join(composition(esk1_0,composition(esk2_0,esk3_0)),meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0))) != meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0))
| join(composition(esk1_0,composition(esk2_0,esk3_0)),meet(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0))) != composition(esk1_0,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)],[c_0_192,c_0_193]),c_0_185]),c_0_193]),c_0_185]),c_0_193]),c_0_185]) ).
cnf(c_0_198,negated_conjecture,
meet(X1,composition(esk2_0,X2)) = composition(esk2_0,meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_195]) ).
cnf(c_0_199,negated_conjecture,
composition(esk2_0,composition(esk1_0,X1)) = composition(esk1_0,composition(esk2_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_196]),c_0_185]) ).
cnf(c_0_200,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)],[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_197,c_0_198]),c_0_49]),c_0_144]),c_0_199]),c_0_59]),c_0_198]),c_0_49]),c_0_144]),c_0_199]),c_0_198]),c_0_49]),c_0_144]),c_0_199]),c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : REL029+4 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n009.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 15:15:59 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.HWJGj1AcyF/E---3.1_31594.p
% 46.72/6.32 # Version: 3.1pre001
% 46.72/6.32 # Preprocessing class: FSMSSMSSSSSNFFN.
% 46.72/6.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.72/6.32 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 46.72/6.32 # Starting new_bool_3 with 300s (1) cores
% 46.72/6.32 # Starting new_bool_1 with 300s (1) cores
% 46.72/6.32 # Starting sh5l with 300s (1) cores
% 46.72/6.32 # sh5l with pid 31675 completed with status 0
% 46.72/6.32 # Result found by sh5l
% 46.72/6.32 # Preprocessing class: FSMSSMSSSSSNFFN.
% 46.72/6.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.72/6.32 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 46.72/6.32 # Starting new_bool_3 with 300s (1) cores
% 46.72/6.32 # Starting new_bool_1 with 300s (1) cores
% 46.72/6.32 # Starting sh5l with 300s (1) cores
% 46.72/6.32 # SinE strategy is gf500_gu_R04_F100_L20000
% 46.72/6.32 # Search class: FUHPM-FFMF21-DFFFFFNN
% 46.72/6.32 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 46.72/6.32 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 163s (1) cores
% 46.72/6.32 # H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 31683 completed with status 0
% 46.72/6.32 # Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 46.72/6.32 # Preprocessing class: FSMSSMSSSSSNFFN.
% 46.72/6.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.72/6.32 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 46.72/6.32 # Starting new_bool_3 with 300s (1) cores
% 46.72/6.32 # Starting new_bool_1 with 300s (1) cores
% 46.72/6.32 # Starting sh5l with 300s (1) cores
% 46.72/6.32 # SinE strategy is gf500_gu_R04_F100_L20000
% 46.72/6.32 # Search class: FUHPM-FFMF21-DFFFFFNN
% 46.72/6.32 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 46.72/6.32 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 163s (1) cores
% 46.72/6.32 # Preprocessing time : 0.001 s
% 46.72/6.32
% 46.72/6.32 # Proof found!
% 46.72/6.32 # SZS status Theorem
% 46.72/6.32 # SZS output start CNFRefutation
% See solution above
% 46.72/6.32 # Parsed axioms : 17
% 46.72/6.32 # Removed by relevancy pruning/SinE : 0
% 46.72/6.32 # Initial clauses : 19
% 46.72/6.32 # Removed in clause preprocessing : 0
% 46.72/6.32 # Initial clauses in saturation : 19
% 46.72/6.32 # Processed clauses : 13035
% 46.72/6.32 # ...of these trivial : 7539
% 46.72/6.32 # ...subsumed : 3662
% 46.72/6.32 # ...remaining for further processing : 1834
% 46.72/6.32 # Other redundant clauses eliminated : 0
% 46.72/6.32 # Clauses deleted for lack of memory : 0
% 46.72/6.32 # Backward-subsumed : 1
% 46.72/6.32 # Backward-rewritten : 716
% 46.72/6.32 # Generated clauses : 482119
% 46.72/6.32 # ...of the previous two non-redundant : 250037
% 46.72/6.32 # ...aggressively subsumed : 0
% 46.72/6.32 # Contextual simplify-reflections : 0
% 46.72/6.32 # Paramodulations : 482119
% 46.72/6.32 # Factorizations : 0
% 46.72/6.32 # NegExts : 0
% 46.72/6.32 # Equation resolutions : 0
% 46.72/6.32 # Total rewrite steps : 1243583
% 46.72/6.32 # Propositional unsat checks : 0
% 46.72/6.32 # Propositional check models : 0
% 46.72/6.32 # Propositional check unsatisfiable : 0
% 46.72/6.32 # Propositional clauses : 0
% 46.72/6.32 # Propositional clauses after purity: 0
% 46.72/6.32 # Propositional unsat core size : 0
% 46.72/6.32 # Propositional preprocessing time : 0.000
% 46.72/6.32 # Propositional encoding time : 0.000
% 46.72/6.32 # Propositional solver time : 0.000
% 46.72/6.32 # Success case prop preproc time : 0.000
% 46.72/6.32 # Success case prop encoding time : 0.000
% 46.72/6.32 # Success case prop solver time : 0.000
% 46.72/6.32 # Current number of processed clauses : 1117
% 46.72/6.32 # Positive orientable unit clauses : 1083
% 46.72/6.32 # Positive unorientable unit clauses: 34
% 46.72/6.32 # Negative unit clauses : 0
% 46.72/6.32 # Non-unit-clauses : 0
% 46.72/6.32 # Current number of unprocessed clauses: 232518
% 46.72/6.32 # ...number of literals in the above : 232518
% 46.72/6.32 # Current number of archived formulas : 0
% 46.72/6.32 # Current number of archived clauses : 717
% 46.72/6.32 # Clause-clause subsumption calls (NU) : 0
% 46.72/6.32 # Rec. Clause-clause subsumption calls : 0
% 46.72/6.32 # Non-unit clause-clause subsumptions : 0
% 46.72/6.32 # Unit Clause-clause subsumption calls : 366
% 46.72/6.32 # Rewrite failures with RHS unbound : 818
% 46.72/6.32 # BW rewrite match attempts : 8169
% 46.72/6.32 # BW rewrite match successes : 2085
% 46.72/6.32 # Condensation attempts : 0
% 46.72/6.32 # Condensation successes : 0
% 46.72/6.32 # Termbank termtop insertions : 7056785
% 46.72/6.32
% 46.72/6.32 # -------------------------------------------------
% 46.72/6.32 # User time : 5.584 s
% 46.72/6.32 # System time : 0.197 s
% 46.72/6.32 # Total time : 5.781 s
% 46.72/6.32 # Maximum resident set size: 1764 pages
% 46.72/6.32
% 46.72/6.32 # -------------------------------------------------
% 46.72/6.32 # User time : 5.584 s
% 46.72/6.32 # System time : 0.200 s
% 46.72/6.32 # Total time : 5.784 s
% 46.72/6.32 # Maximum resident set size: 1724 pages
% 46.72/6.32 % E---3.1 exiting
% 46.72/6.32 % E---3.1 exiting
%------------------------------------------------------------------------------