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 : n003.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 : Unsatisfiable 1243.67s 165.61s
% Output : CNFRefutation 1243.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of clauses : 117 ( 114 unt; 0 nHn; 17 RR)
% Number of literals : 120 ( 119 equ; 6 neg)
% Maximal clause size : 2 ( 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 : 172 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',maddux2_join_associativity_2) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',maddux1_join_commutativity_1) ).
cnf(def_top_12,axiom,
top = join(X1,complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',def_top_12) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',maddux3_a_kind_of_de_Morgan_3) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',converse_cancellativity_11) ).
cnf(composition_associativity_5,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',composition_associativity_5) ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',converse_multiplicativity_10) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',converse_additivity_9) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',converse_idempotence_8) ).
cnf(goals_14,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',goals_14) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',composition_distributivity_7) ).
cnf(goals_15,negated_conjecture,
( join(composition(meet(sk1,sk2),sk3),meet(sk1,composition(sk2,sk3))) != meet(sk1,composition(sk2,sk3))
| join(meet(sk1,composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)) != composition(meet(sk1,sk2),sk3) ),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',goals_15) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox2/tmp/tmp.1hvKoIZiu3/E---3.1_8582.p',maddux4_definiton_of_meet_4) ).
cnf(c_0_13,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_14,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_15,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_13]) ).
cnf(c_0_16,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_17,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_18,plain,
join(X1,join(X2,complement(X1))) = join(X2,top),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_20,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_21,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_22,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_23,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_18,c_0_19]),c_0_13]),c_0_14]),c_0_20]),c_0_21]) ).
cnf(c_0_24,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_25,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_16]),c_0_14]) ).
cnf(c_0_26,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,plain,
join(X1,join(X2,complement(X1))) = top,
inference(rw,[status(thm)],[c_0_18,c_0_26]) ).
cnf(c_0_28,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_29,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_30,plain,
join(X1,complement(complement(join(complement(X1),X2)))) = top,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_29,c_0_14]) ).
cnf(c_0_32,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
composition_associativity_5 ).
cnf(c_0_33,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_34,plain,
join(X1,complement(complement(top))) = top,
inference(spm,[status(thm)],[c_0_30,c_0_30]) ).
cnf(c_0_35,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_19,c_0_19]),c_0_14]),c_0_13]),c_0_14]) ).
cnf(c_0_36,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_31,c_0_32]),c_0_33]),c_0_32]) ).
cnf(c_0_37,plain,
join(complement(complement(top)),X1) = top,
inference(spm,[status(thm)],[c_0_14,c_0_34]) ).
cnf(c_0_38,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_39,plain,
join(complement(X1),complement(top)) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_27]) ).
cnf(c_0_40,plain,
complement(complement(top)) = top,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_42,plain,
join(converse(X1),converse(complement(X1))) = converse(top),
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_43,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_44,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_45,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_39]),c_0_34]),c_0_39]) ).
cnf(c_0_46,plain,
join(X1,complement(top)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_39]),c_0_19]) ).
cnf(c_0_47,negated_conjecture,
composition(sk1,top) = sk1,
goals_14 ).
cnf(c_0_48,plain,
join(complement(top),complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_40]),c_0_41]),c_0_41]) ).
cnf(c_0_49,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
complement(join(X1,X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_16]),c_0_45]),c_0_46]) ).
cnf(c_0_51,negated_conjecture,
composition(converse(top),converse(sk1)) = converse(sk1),
inference(spm,[status(thm)],[c_0_33,c_0_47]) ).
cnf(c_0_52,plain,
join(complement(top),join(X1,complement(top))) = join(X1,complement(top)),
inference(spm,[status(thm)],[c_0_20,c_0_48]) ).
cnf(c_0_53,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_49,c_0_41]) ).
cnf(c_0_54,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_50]),c_0_19]) ).
cnf(c_0_55,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_56,negated_conjecture,
composition(converse(top),composition(converse(sk1),X1)) = composition(converse(sk1),X1),
inference(spm,[status(thm)],[c_0_32,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
join(complement(top),composition(converse(sk1),complement(sk1))) = complement(top),
inference(spm,[status(thm)],[c_0_31,c_0_47]) ).
cnf(c_0_58,plain,
join(complement(top),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_46]),c_0_46]) ).
cnf(c_0_59,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_49,c_0_53]) ).
cnf(c_0_60,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_54]),c_0_13]),c_0_54]) ).
cnf(c_0_61,plain,
join(composition(X1,X2),composition(top,X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_55,c_0_26]) ).
cnf(c_0_62,negated_conjecture,
composition(top,converse(sk1)) = converse(sk1),
inference(rw,[status(thm)],[c_0_51,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
composition(top,composition(converse(sk1),X1)) = composition(converse(sk1),X1),
inference(rw,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_64,negated_conjecture,
composition(converse(sk1),complement(sk1)) = complement(top),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
converse(complement(converse(complement(top)))) = top,
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_66,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_19]),c_0_14]) ).
cnf(c_0_67,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_20,c_0_54]) ).
cnf(c_0_68,negated_conjecture,
join(converse(sk1),composition(X1,converse(sk1))) = converse(sk1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_14]) ).
cnf(c_0_69,plain,
join(composition(top,X1),composition(X2,X1)) = composition(top,X1),
inference(spm,[status(thm)],[c_0_55,c_0_41]) ).
cnf(c_0_70,negated_conjecture,
composition(top,complement(top)) = complement(top),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,plain,
complement(converse(complement(top))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_65]),c_0_53]) ).
cnf(c_0_72,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
join(sk1,composition(sk1,converse(X1))) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_68]),c_0_43]),c_0_43]),c_0_33]),c_0_43]) ).
cnf(c_0_74,negated_conjecture,
composition(X1,complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_58]) ).
cnf(c_0_75,plain,
converse(complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_71]),c_0_41]),c_0_41]),c_0_39]) ).
cnf(c_0_76,plain,
complement(join(complement(X1),complement(join(X2,complement(join(complement(X1),X2)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_22]),c_0_58]) ).
cnf(c_0_77,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_72,c_0_45]) ).
cnf(c_0_78,negated_conjecture,
join(sk1,composition(sk1,X1)) = sk1,
inference(spm,[status(thm)],[c_0_73,c_0_43]) ).
cnf(c_0_79,negated_conjecture,
composition(complement(top),converse(X1)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_74]),c_0_75]),c_0_75]) ).
cnf(c_0_80,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_76]),c_0_77]) ).
cnf(c_0_81,negated_conjecture,
join(sk1,join(composition(sk1,X1),X2)) = join(sk1,X2),
inference(spm,[status(thm)],[c_0_13,c_0_78]) ).
cnf(c_0_82,plain,
join(composition(X1,X2),composition(complement(X1),X2)) = composition(top,X2),
inference(spm,[status(thm)],[c_0_55,c_0_16]) ).
cnf(c_0_83,negated_conjecture,
composition(complement(top),X1) = complement(top),
inference(spm,[status(thm)],[c_0_79,c_0_43]) ).
cnf(c_0_84,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_80]),c_0_60]) ).
cnf(c_0_85,negated_conjecture,
join(sk1,composition(complement(sk1),X1)) = join(sk1,composition(top,X1)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,plain,
join(converse(X1),converse(complement(X1))) = top,
inference(rw,[status(thm)],[c_0_42,c_0_53]) ).
cnf(c_0_87,negated_conjecture,
composition(converse(sk1),composition(complement(sk1),X1)) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_64]),c_0_83]) ).
cnf(c_0_88,negated_conjecture,
join(sk1,complement(composition(complement(sk1),X1))) = join(sk1,complement(composition(top,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_84]) ).
cnf(c_0_89,plain,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_86]),c_0_46]) ).
cnf(c_0_90,negated_conjecture,
complement(composition(complement(sk1),X1)) = join(sk1,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_31,c_0_87]),c_0_43]),c_0_45]),c_0_47]),c_0_14]),c_0_88]) ).
cnf(c_0_91,plain,
join(X1,complement(join(X2,join(X3,X1)))) = join(X1,complement(join(X2,X3))),
inference(spm,[status(thm)],[c_0_84,c_0_20]) ).
cnf(c_0_92,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_89]),c_0_43]),c_0_43]) ).
cnf(c_0_93,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_66,c_0_45]) ).
cnf(c_0_94,negated_conjecture,
complement(join(sk1,complement(composition(top,X1)))) = composition(complement(sk1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_90]),c_0_13]),c_0_91]),c_0_72]) ).
cnf(c_0_95,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_92,c_0_45]) ).
cnf(c_0_96,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_59]),c_0_46]) ).
cnf(c_0_97,negated_conjecture,
join(complement(sk1),composition(complement(sk1),X1)) = complement(sk1),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_84,c_0_14]) ).
cnf(c_0_99,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_55,c_0_84]),c_0_55]) ).
cnf(c_0_100,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_77,c_0_95]),c_0_45]),c_0_14]),c_0_96]) ).
cnf(c_0_101,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_19,c_0_45]) ).
cnf(c_0_102,negated_conjecture,
join(complement(sk1),join(composition(complement(sk1),X1),X2)) = join(complement(sk1),X2),
inference(spm,[status(thm)],[c_0_13,c_0_97]) ).
cnf(c_0_103,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_55,c_0_98]),c_0_55]) ).
cnf(c_0_104,negated_conjecture,
join(sk1,composition(complement(join(sk1,X1)),X2)) = join(sk1,composition(complement(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_99]),c_0_81]) ).
cnf(c_0_105,plain,
join(X1,join(X2,converse(complement(converse(X1))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_59]),c_0_26]) ).
cnf(c_0_106,plain,
converse(complement(converse(X1))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_100]),c_0_98]),c_0_72]) ).
cnf(c_0_107,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_101,c_0_98]),c_0_45]),c_0_67]) ).
cnf(c_0_108,negated_conjecture,
join(complement(sk1),composition(complement(join(X1,complement(sk1))),X2)) = join(complement(sk1),composition(complement(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_102]) ).
cnf(c_0_109,negated_conjecture,
join(sk1,composition(complement(join(X1,complement(sk1))),X2)) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_83]),c_0_46]),c_0_106]) ).
cnf(c_0_110,negated_conjecture,
complement(composition(complement(join(X1,complement(sk1))),X2)) = join(complement(sk1),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_107,c_0_108]),c_0_45]),c_0_14]),c_0_109]),c_0_84]) ).
cnf(c_0_111,negated_conjecture,
( join(composition(meet(sk1,sk2),sk3),meet(sk1,composition(sk2,sk3))) != meet(sk1,composition(sk2,sk3))
| join(meet(sk1,composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)) != composition(meet(sk1,sk2),sk3) ),
goals_15 ).
cnf(c_0_112,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_113,negated_conjecture,
complement(join(complement(sk1),complement(composition(complement(X1),X2)))) = composition(complement(join(X1,complement(sk1))),X2),
inference(spm,[status(thm)],[c_0_45,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
( join(composition(complement(join(complement(sk2),complement(sk1))),sk3),complement(join(complement(sk1),complement(composition(sk2,sk3))))) != composition(complement(join(complement(sk2),complement(sk1))),sk3)
| join(composition(complement(join(complement(sk2),complement(sk1))),sk3),complement(join(complement(sk1),complement(composition(sk2,sk3))))) != complement(join(complement(sk1),complement(composition(sk2,sk3)))) ),
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_111,c_0_14]),c_0_112]),c_0_14]),c_0_112]),c_0_112]),c_0_14]),c_0_112]),c_0_14]),c_0_112]),c_0_112]) ).
cnf(c_0_115,negated_conjecture,
complement(join(complement(sk1),complement(composition(X1,X2)))) = composition(complement(join(complement(X1),complement(sk1))),X2),
inference(spm,[status(thm)],[c_0_113,c_0_45]) ).
cnf(c_0_116,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_114,c_0_115]),c_0_54]),c_0_115]),c_0_54]),c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : REL033-2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 15:24:03 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 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.1hvKoIZiu3/E---3.1_8582.p
% 1243.67/165.61 # Version: 3.1pre001
% 1243.67/165.61 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1243.67/165.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1243.67/165.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1243.67/165.61 # Starting new_bool_3 with 300s (1) cores
% 1243.67/165.61 # Starting new_bool_1 with 300s (1) cores
% 1243.67/165.61 # Starting sh5l with 300s (1) cores
% 1243.67/165.61 # new_bool_1 with pid 8661 completed with status 0
% 1243.67/165.61 # Result found by new_bool_1
% 1243.67/165.61 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1243.67/165.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1243.67/165.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1243.67/165.61 # Starting new_bool_3 with 300s (1) cores
% 1243.67/165.61 # Starting new_bool_1 with 300s (1) cores
% 1243.67/165.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1243.67/165.61 # Search class: FUHPM-FFSF21-MFFFFFNN
% 1243.67/165.61 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1243.67/165.61 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 1243.67/165.61 # H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 8665 completed with status 0
% 1243.67/165.61 # Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 1243.67/165.61 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1243.67/165.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1243.67/165.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1243.67/165.61 # Starting new_bool_3 with 300s (1) cores
% 1243.67/165.61 # Starting new_bool_1 with 300s (1) cores
% 1243.67/165.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1243.67/165.61 # Search class: FUHPM-FFSF21-MFFFFFNN
% 1243.67/165.61 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1243.67/165.61 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 1243.67/165.61 # Preprocessing time : 0.001 s
% 1243.67/165.61
% 1243.67/165.61 # Proof found!
% 1243.67/165.61 # SZS status Unsatisfiable
% 1243.67/165.61 # SZS output start CNFRefutation
% See solution above
% 1243.67/165.61 # Parsed axioms : 15
% 1243.67/165.61 # Removed by relevancy pruning/SinE : 2
% 1243.67/165.61 # Initial clauses : 13
% 1243.67/165.61 # Removed in clause preprocessing : 0
% 1243.67/165.61 # Initial clauses in saturation : 13
% 1243.67/165.61 # Processed clauses : 99471
% 1243.67/165.61 # ...of these trivial : 63364
% 1243.67/165.61 # ...subsumed : 31648
% 1243.67/165.61 # ...remaining for further processing : 4459
% 1243.67/165.61 # Other redundant clauses eliminated : 0
% 1243.67/165.61 # Clauses deleted for lack of memory : 385757
% 1243.67/165.61 # Backward-subsumed : 1
% 1243.67/165.61 # Backward-rewritten : 779
% 1243.67/165.61 # Generated clauses : 5884573
% 1243.67/165.61 # ...of the previous two non-redundant : 3282694
% 1243.67/165.61 # ...aggressively subsumed : 0
% 1243.67/165.61 # Contextual simplify-reflections : 0
% 1243.67/165.61 # Paramodulations : 5884573
% 1243.67/165.61 # Factorizations : 0
% 1243.67/165.61 # NegExts : 0
% 1243.67/165.61 # Equation resolutions : 0
% 1243.67/165.61 # Total rewrite steps : 21136745
% 1243.67/165.61 # Propositional unsat checks : 0
% 1243.67/165.61 # Propositional check models : 0
% 1243.67/165.61 # Propositional check unsatisfiable : 0
% 1243.67/165.61 # Propositional clauses : 0
% 1243.67/165.61 # Propositional clauses after purity: 0
% 1243.67/165.61 # Propositional unsat core size : 0
% 1243.67/165.61 # Propositional preprocessing time : 0.000
% 1243.67/165.61 # Propositional encoding time : 0.000
% 1243.67/165.61 # Propositional solver time : 0.000
% 1243.67/165.61 # Success case prop preproc time : 0.000
% 1243.67/165.61 # Success case prop encoding time : 0.000
% 1243.67/165.61 # Success case prop solver time : 0.000
% 1243.67/165.61 # Current number of processed clauses : 3679
% 1243.67/165.61 # Positive orientable unit clauses : 3599
% 1243.67/165.61 # Positive unorientable unit clauses: 80
% 1243.67/165.61 # Negative unit clauses : 0
% 1243.67/165.61 # Non-unit-clauses : 0
% 1243.67/165.61 # Current number of unprocessed clauses: 1643675
% 1243.67/165.61 # ...number of literals in the above : 1643675
% 1243.67/165.61 # Current number of archived formulas : 0
% 1243.67/165.61 # Current number of archived clauses : 780
% 1243.67/165.61 # Clause-clause subsumption calls (NU) : 0
% 1243.67/165.61 # Rec. Clause-clause subsumption calls : 0
% 1243.67/165.61 # Non-unit clause-clause subsumptions : 0
% 1243.67/165.61 # Unit Clause-clause subsumption calls : 2345
% 1243.67/165.61 # Rewrite failures with RHS unbound : 34809
% 1243.67/165.61 # BW rewrite match attempts : 152761
% 1243.67/165.61 # BW rewrite match successes : 5315
% 1243.67/165.61 # Condensation attempts : 0
% 1243.67/165.61 # Condensation successes : 0
% 1243.67/165.61 # Termbank termtop insertions : 146802086
% 1243.67/165.61
% 1243.67/165.61 # -------------------------------------------------
% 1243.67/165.61 # User time : 160.976 s
% 1243.67/165.61 # System time : 2.253 s
% 1243.67/165.61 # Total time : 163.229 s
% 1243.67/165.61 # Maximum resident set size: 1632 pages
% 1243.67/165.61
% 1243.67/165.61 # -------------------------------------------------
% 1243.67/165.61 # User time : 160.981 s
% 1243.67/165.61 # System time : 2.259 s
% 1243.67/165.61 # Total time : 163.240 s
% 1243.67/165.61 # Maximum resident set size: 1680 pages
% 1243.67/165.61 % E---3.1 exiting
%------------------------------------------------------------------------------