TSTP Solution File: REL030+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : REL030+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 19:13:44 EDT 2023
% Result : Theorem 1122.34s 143.89s
% Output : CNFRefutation 1122.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 14
% Syntax : Number of formulae : 143 ( 140 unt; 0 def)
% Number of atoms : 146 ( 145 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 208 ( 11 sgn; 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.p',converse_multiplicativity) ).
fof(composition_identity,axiom,
! [X1] : composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.p',composition_identity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.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.yi2tjfanyS/E---3.1_7223.p',converse_cancellativity) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.p',maddux1_join_commutativity) ).
fof(def_zero,axiom,
! [X1] : zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.p',def_zero) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.p',maddux4_definiton_of_meet) ).
fof(def_top,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.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/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.p',maddux3_a_kind_of_de_Morgan) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.p',maddux2_join_associativity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.p',converse_additivity) ).
fof(goals,conjecture,
! [X1,X2,X3] :
( join(X1,one) = one
=> meet(composition(X1,X2),complement(X3)) = meet(composition(X1,X2),complement(composition(X1,X3))) ),
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.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.yi2tjfanyS/E---3.1_7223.p',composition_distributivity) ).
fof(composition_associativity,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.yi2tjfanyS/E---3.1_7223.p',composition_associativity) ).
fof(c_0_14,plain,
! [X23,X24] : converse(composition(X23,X24)) = composition(converse(X24),converse(X23)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_15,plain,
! [X16] : composition(X16,one) = X16,
inference(variable_rename,[status(thm)],[composition_identity]) ).
cnf(c_0_16,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X20] : converse(converse(X20)) = X20,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_19,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,plain,
! [X25,X26] : join(composition(converse(X25),complement(composition(X25,X26))),complement(X26)) = complement(X26),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
fof(c_0_22,plain,
! [X4,X5] : join(X4,X5) = join(X5,X4),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_23,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_24,plain,
! [X28] : zero = meet(X28,complement(X28)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_25,plain,
! [X11,X12] : meet(X11,X12) = complement(join(complement(X11),complement(X12))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_26,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_29,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,plain,
! [X27] : top = join(X27,complement(X27)),
inference(variable_rename,[status(thm)],[def_top]) ).
cnf(c_0_32,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_23,c_0_28]) ).
cnf(c_0_34,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X9,X10] : X9 = join(complement(join(complement(X9),complement(X10))),complement(join(complement(X9),X10))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
fof(c_0_37,plain,
! [X6,X7,X8] : join(X6,join(X7,X8)) = join(join(X6,X7),X8),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_38,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_28]),c_0_33]) ).
cnf(c_0_39,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_44,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_35]),c_0_39]),c_0_27]) ).
cnf(c_0_46,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_49,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_48]) ).
cnf(c_0_50,plain,
join(top,zero) = top,
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_51,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_52,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_27]) ).
cnf(c_0_53,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_49,c_0_27]) ).
fof(c_0_54,plain,
! [X21,X22] : converse(join(X21,X22)) = join(converse(X21),converse(X22)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_55,plain,
join(top,join(zero,X1)) = join(top,X1),
inference(spm,[status(thm)],[c_0_41,c_0_50]) ).
cnf(c_0_56,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_35]) ).
cnf(c_0_57,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,plain,
join(top,X1) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_45]),c_0_56]) ).
cnf(c_0_60,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_27]),c_0_41]) ).
cnf(c_0_61,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_57,c_0_47]) ).
cnf(c_0_62,plain,
join(converse(top),converse(X1)) = converse(top),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(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_43,c_0_43]),c_0_47]),c_0_60]),c_0_27]),c_0_61]) ).
cnf(c_0_64,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_27,c_0_59]) ).
cnf(c_0_65,plain,
join(converse(top),X1) = converse(top),
inference(spm,[status(thm)],[c_0_62,c_0_20]) ).
cnf(c_0_66,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_63,c_0_47]) ).
cnf(c_0_67,plain,
join(converse(X1),converse(complement(X1))) = converse(top),
inference(spm,[status(thm)],[c_0_58,c_0_35]) ).
cnf(c_0_68,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_69,negated_conjecture,
~ ! [X1,X2,X3] :
( join(X1,one) = one
=> meet(composition(X1,X2),complement(X3)) = meet(composition(X1,X2),complement(composition(X1,X3))) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_70,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_66]),c_0_49]) ).
cnf(c_0_71,plain,
join(converse(X1),converse(complement(X1))) = top,
inference(rw,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_46]) ).
fof(c_0_73,negated_conjecture,
( join(esk1_0,one) = one
& meet(composition(esk1_0,esk2_0),complement(esk3_0)) != meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])]) ).
cnf(c_0_74,plain,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_39]),c_0_72]) ).
cnf(c_0_75,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_76,plain,
! [X17,X18,X19] : composition(join(X17,X18),X19) = join(composition(X17,X19),composition(X18,X19)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
cnf(c_0_77,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_74]),c_0_20]),c_0_20]) ).
cnf(c_0_78,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(spm,[status(thm)],[c_0_71,c_0_20]) ).
cnf(c_0_79,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[c_0_75,c_0_27]) ).
cnf(c_0_80,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_81,plain,
join(converse(zero),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_58,c_0_46]) ).
cnf(c_0_82,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_77,c_0_47]) ).
cnf(c_0_83,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_78]),c_0_39]),c_0_72]) ).
cnf(c_0_84,negated_conjecture,
join(one,join(esk1_0,X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_41,c_0_79]) ).
cnf(c_0_85,plain,
composition(converse(X1),join(converse(X2),converse(X3))) = join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_80]),c_0_58]),c_0_16]),c_0_16]),c_0_58]) ).
cnf(c_0_86,negated_conjecture,
join(one,converse(esk1_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_79]),c_0_28]),c_0_28]) ).
cnf(c_0_87,plain,
join(converse(zero),X1) = X1,
inference(spm,[status(thm)],[c_0_81,c_0_20]) ).
cnf(c_0_88,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_61,c_0_82]),c_0_47]),c_0_27]),c_0_83]) ).
cnf(c_0_89,negated_conjecture,
join(one,complement(esk1_0)) = join(top,one),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_35]),c_0_27]) ).
cnf(c_0_90,plain,
composition(converse(X1),join(one,converse(X2))) = join(converse(X1),composition(converse(X1),converse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_28]),c_0_17]),c_0_27]),c_0_27]) ).
cnf(c_0_91,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_86]),c_0_33]),c_0_33]) ).
fof(c_0_92,plain,
! [X13,X14,X15] : composition(X13,composition(X14,X15)) = composition(composition(X13,X14),X15),
inference(variable_rename,[status(thm)],[composition_associativity]) ).
cnf(c_0_93,plain,
join(converse(complement(X1)),composition(converse(complement(composition(X2,X1))),X2)) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_32]),c_0_16]),c_0_20]) ).
cnf(c_0_94,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_72,c_0_87]) ).
cnf(c_0_95,plain,
converse(complement(converse(X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_47,c_0_88]) ).
cnf(c_0_96,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[c_0_51,c_0_59]) ).
cnf(c_0_97,negated_conjecture,
join(one,complement(esk1_0)) = top,
inference(rw,[status(thm)],[c_0_89,c_0_59]) ).
cnf(c_0_98,plain,
composition(X1,join(one,converse(X2))) = join(X1,composition(X1,converse(X2))),
inference(spm,[status(thm)],[c_0_90,c_0_20]) ).
cnf(c_0_99,negated_conjecture,
join(one,composition(converse(esk1_0),esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_91]),c_0_79]) ).
cnf(c_0_100,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_101,plain,
composition(converse(complement(composition(X1,top))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_39]),c_0_94]),c_0_46]),c_0_94]) ).
cnf(c_0_102,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(spm,[status(thm)],[c_0_20,c_0_95]) ).
cnf(c_0_103,plain,
join(complement(X1),join(X2,X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_43]),c_0_41]) ).
cnf(c_0_104,plain,
composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
inference(spm,[status(thm)],[c_0_85,c_0_20]) ).
cnf(c_0_105,negated_conjecture,
join(X1,composition(complement(esk1_0),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_97]),c_0_33]) ).
cnf(c_0_106,plain,
composition(X1,join(one,X2)) = join(X1,composition(X1,X2)),
inference(spm,[status(thm)],[c_0_98,c_0_20]) ).
cnf(c_0_107,negated_conjecture,
join(X1,composition(converse(esk1_0),composition(esk1_0,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_99]),c_0_33]),c_0_33]),c_0_100]) ).
cnf(c_0_108,plain,
join(composition(X1,X2),composition(complement(X1),X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_80,c_0_35]) ).
cnf(c_0_109,plain,
composition(complement(composition(top,converse(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102]),c_0_16]),c_0_68]) ).
cnf(c_0_110,plain,
join(complement(X1),join(X1,X2)) = top,
inference(spm,[status(thm)],[c_0_103,c_0_27]) ).
cnf(c_0_111,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_79]),c_0_33]),c_0_33]) ).
cnf(c_0_112,plain,
composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_104,c_0_20]) ).
cnf(c_0_113,negated_conjecture,
join(X1,join(X2,composition(complement(esk1_0),X1))) = join(X2,composition(top,X1)),
inference(spm,[status(thm)],[c_0_60,c_0_105]) ).
cnf(c_0_114,negated_conjecture,
join(X1,composition(X1,composition(converse(esk1_0),esk1_0))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_17]),c_0_17]) ).
cnf(c_0_115,plain,
composition(top,composition(converse(X1),X1)) = composition(top,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_47]),c_0_100]),c_0_46]) ).
cnf(c_0_116,negated_conjecture,
join(complement(X1),composition(top,X1)) = top,
inference(spm,[status(thm)],[c_0_110,c_0_105]) ).
cnf(c_0_117,negated_conjecture,
join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_111]) ).
cnf(c_0_118,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_112,c_0_20]) ).
cnf(c_0_119,negated_conjecture,
join(complement(X1),complement(composition(esk1_0,X1))) = complement(composition(esk1_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_111]),c_0_27]) ).
cnf(c_0_120,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_70,c_0_27]) ).
cnf(c_0_121,negated_conjecture,
join(complement(esk1_0),composition(converse(esk1_0),esk1_0)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116]),c_0_27]) ).
cnf(c_0_122,negated_conjecture,
join(X1,complement(join(composition(esk1_0,X1),X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_70]),c_0_117]) ).
cnf(c_0_123,plain,
join(composition(X1,X2),composition(X1,complement(X2))) = composition(X1,top),
inference(spm,[status(thm)],[c_0_118,c_0_35]) ).
cnf(c_0_124,negated_conjecture,
join(X1,complement(composition(esk1_0,complement(X1)))) = complement(composition(esk1_0,complement(X1))),
inference(spm,[status(thm)],[c_0_119,c_0_47]) ).
cnf(c_0_125,negated_conjecture,
composition(converse(esk1_0),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(spm,[status(thm)],[c_0_120,c_0_121]),c_0_39]),c_0_72]),c_0_47]),c_0_27]),c_0_91]) ).
cnf(c_0_126,negated_conjecture,
complement(composition(esk1_0,complement(X1))) = join(X1,complement(composition(esk1_0,top))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_127,negated_conjecture,
meet(composition(esk1_0,esk2_0),complement(esk3_0)) != meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_128,negated_conjecture,
join(X1,join(X2,composition(esk1_0,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_60,c_0_111]) ).
cnf(c_0_129,plain,
join(X1,complement(join(X2,join(X1,X3)))) = join(X1,complement(join(X2,X3))),
inference(spm,[status(thm)],[c_0_70,c_0_60]) ).
cnf(c_0_130,negated_conjecture,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_125]),c_0_20]),c_0_125]) ).
cnf(c_0_131,negated_conjecture,
composition(esk1_0,complement(X1)) = complement(join(X1,complement(composition(esk1_0,top)))),
inference(spm,[status(thm)],[c_0_47,c_0_126]) ).
cnf(c_0_132,negated_conjecture,
complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0)))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_30]),c_0_30]) ).
cnf(c_0_133,negated_conjecture,
join(X1,complement(join(X2,composition(esk1_0,X1)))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_128]),c_0_120]) ).
cnf(c_0_134,plain,
join(X1,complement(join(X2,complement(join(X3,X1))))) = join(X1,complement(join(X2,complement(X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_120]),c_0_129]) ).
cnf(c_0_135,negated_conjecture,
join(complement(X1),complement(join(composition(esk1_0,X1),complement(composition(esk1_0,top))))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_130]),c_0_131]) ).
cnf(c_0_136,negated_conjecture,
complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))) != complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[c_0_132,c_0_27]) ).
cnf(c_0_137,negated_conjecture,
join(complement(X1),complement(composition(esk1_0,top))) = complement(composition(esk1_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_123]),c_0_119]) ).
cnf(c_0_138,negated_conjecture,
join(complement(composition(esk1_0,top)),composition(esk1_0,X1)) = join(complement(composition(esk1_0,top)),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_47]),c_0_119]),c_0_47]) ).
cnf(c_0_139,plain,
join(X1,X2) = join(X2,X1),
c_0_27 ).
cnf(c_0_140,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
c_0_41 ).
cnf(c_0_141,plain,
composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)),
c_0_100 ).
cnf(c_0_142,negated_conjecture,
$false,
inference(ar,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_47]),c_0_41]),c_0_138]),c_0_47]),c_0_139,c_0_140,c_0_141]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : REL030+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n001.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 15:51:51 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 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.yi2tjfanyS/E---3.1_7223.p
% 1122.34/143.89 # Version: 3.1pre001
% 1122.34/143.89 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1122.34/143.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1122.34/143.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1122.34/143.89 # Starting new_bool_3 with 300s (1) cores
% 1122.34/143.89 # Starting new_bool_1 with 300s (1) cores
% 1122.34/143.89 # Starting sh5l with 300s (1) cores
% 1122.34/143.89 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7372 completed with status 0
% 1122.34/143.89 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1122.34/143.89 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1122.34/143.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1122.34/143.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1122.34/143.89 # No SInE strategy applied
% 1122.34/143.89 # Search class: FUUPM-FFSF21-MFFFFFNN
% 1122.34/143.89 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1122.34/143.89 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 1122.34/143.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1122.34/143.89 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 1122.34/143.89 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 1122.34/143.89 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 1122.34/143.89 # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 7384 completed with status 7
% 1122.34/143.89 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 136s (1) cores
% 1122.34/143.89 # U----_043_B31_F1_PI_AE_CS_SP_S2S with pid 7382 completed with status 7
% 1122.34/143.89 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 130s (1) cores
% 1122.34/143.89 # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 7381 completed with status 7
% 1122.34/143.89 # H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 7504 completed with status 0
% 1122.34/143.89 # Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 1122.34/143.89 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1122.34/143.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1122.34/143.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1122.34/143.89 # No SInE strategy applied
% 1122.34/143.89 # Search class: FUUPM-FFSF21-MFFFFFNN
% 1122.34/143.89 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1122.34/143.89 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 1122.34/143.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1122.34/143.89 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 1122.34/143.89 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 1122.34/143.89 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 1122.34/143.89 # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 7384 completed with status 7
% 1122.34/143.89 # Starting G-E--_208_C18_F2_SE_CS_SP_PS_S5PRR_RG_S04A with 136s (1) cores
% 1122.34/143.89 # U----_043_B31_F1_PI_AE_CS_SP_S2S with pid 7382 completed with status 7
% 1122.34/143.89 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 130s (1) cores
% 1122.34/143.89 # Preprocessing time : 0.001 s
% 1122.34/143.89
% 1122.34/143.89 # Proof found!
% 1122.34/143.89 # SZS status Theorem
% 1122.34/143.89 # SZS output start CNFRefutation
% See solution above
% 1122.34/143.89 # Parsed axioms : 14
% 1122.34/143.89 # Removed by relevancy pruning/SinE : 0
% 1122.34/143.89 # Initial clauses : 15
% 1122.34/143.89 # Removed in clause preprocessing : 1
% 1122.34/143.89 # Initial clauses in saturation : 14
% 1122.34/143.89 # Processed clauses : 16544
% 1122.34/143.89 # ...of these trivial : 12174
% 1122.34/143.89 # ...subsumed : 3016
% 1122.34/143.89 # ...remaining for further processing : 1354
% 1122.34/143.89 # Other redundant clauses eliminated : 0
% 1122.34/143.89 # Clauses deleted for lack of memory : 0
% 1122.34/143.89 # Backward-subsumed : 0
% 1122.34/143.89 # Backward-rewritten : 293
% 1122.34/143.89 # Generated clauses : 448225
% 1122.34/143.89 # ...of the previous two non-redundant : 207736
% 1122.34/143.89 # ...aggressively subsumed : 0
% 1122.34/143.89 # Contextual simplify-reflections : 0
% 1122.34/143.89 # Paramodulations : 448225
% 1122.34/143.89 # Factorizations : 0
% 1122.34/143.89 # NegExts : 0
% 1122.34/143.89 # Equation resolutions : 0
% 1122.34/143.89 # Total rewrite steps : 1337438
% 1122.34/143.89 # Propositional unsat checks : 0
% 1122.34/143.89 # Propositional check models : 0
% 1122.34/143.89 # Propositional check unsatisfiable : 0
% 1122.34/143.89 # Propositional clauses : 0
% 1122.34/143.89 # Propositional clauses after purity: 0
% 1122.34/143.89 # Propositional unsat core size : 0
% 1122.34/143.89 # Propositional preprocessing time : 0.000
% 1122.34/143.89 # Propositional encoding time : 0.000
% 1122.34/143.89 # Propositional solver time : 0.000
% 1122.34/143.89 # Success case prop preproc time : 0.000
% 1122.34/143.89 # Success case prop encoding time : 0.000
% 1122.34/143.89 # Success case prop solver time : 0.000
% 1122.34/143.89 # Current number of processed clauses : 1061
% 1122.34/143.89 # Positive orientable unit clauses : 1049
% 1122.34/143.89 # Positive unorientable unit clauses: 10
% 1122.34/143.89 # Negative unit clauses : 2
% 1122.34/143.89 # Non-unit-clauses : 0
% 1122.34/143.89 # Current number of unprocessed clauses: 188455
% 1122.34/143.89 # ...number of literals in the above : 188455
% 1122.34/143.89 # Current number of archived formulas : 0
% 1122.34/143.89 # Current number of archived clauses : 294
% 1122.34/143.89 # Clause-clause subsumption calls (NU) : 0
% 1122.34/143.89 # Rec. Clause-clause subsumption calls : 0
% 1122.34/143.89 # Non-unit clause-clause subsumptions : 0
% 1122.34/143.89 # Unit Clause-clause subsumption calls : 127
% 1122.34/143.89 # Rewrite failures with RHS unbound : 297
% 1122.34/143.89 # BW rewrite match attempts : 18453
% 1122.34/143.89 # BW rewrite match successes : 578
% 1122.34/143.89 # Condensation attempts : 0
% 1122.34/143.89 # Condensation successes : 0
% 1122.34/143.89 # Termbank termtop insertions : 7613084
% 1122.34/143.89
% 1122.34/143.89 # -------------------------------------------------
% 1122.34/143.89 # User time : 407.410 s
% 1122.34/143.89 # System time : 6.562 s
% 1122.34/143.89 # Total time : 413.973 s
% 1122.34/143.89 # Maximum resident set size: 1736 pages
% 1122.34/143.89
% 1122.34/143.89 # -------------------------------------------------
% 1122.34/143.89 # User time : 693.136 s
% 1122.34/143.89 # System time : 11.245 s
% 1122.34/143.89 # Total time : 704.381 s
% 1122.34/143.89 # Maximum resident set size: 1680 pages
% 1122.34/143.89 % E---3.1 exiting
% 1122.34/143.89 % E---3.1 exiting
%------------------------------------------------------------------------------