TSTP Solution File: REL016-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : REL016-1 : 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 19:13:30 EDT 2023
% Result : Unsatisfiable 1013.12s 128.15s
% Output : CNFRefutation 1013.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 11
% Syntax : Number of clauses : 119 ( 119 unt; 0 nHn; 9 RR)
% Number of literals : 119 ( 118 equ; 3 neg)
% Maximal clause size : 1 ( 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 : 211 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',maddux3_a_kind_of_de_Morgan_3) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',maddux4_definiton_of_meet_4) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',maddux1_join_commutativity_1) ).
cnf(def_zero_13,axiom,
zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',def_zero_13) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',maddux2_join_associativity_2) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',converse_cancellativity_11) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',converse_additivity_9) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',converse_idempotence_8) ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',converse_multiplicativity_10) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',composition_distributivity_7) ).
cnf(goals_14,negated_conjecture,
meet(composition(sk1,sk2),complement(composition(sk1,sk3))) != meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))),
file('/export/starexec/sandbox/tmp/tmp.HlClUmde8d/E---3.1_30518.p',goals_14) ).
cnf(c_0_11,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_12,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_13,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_15,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_14]) ).
cnf(c_0_16,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_14]),c_0_12]) ).
cnf(c_0_17,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_18,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
join(zero,meet(X1,complement(complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_20,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_17]),c_0_16]),c_0_14]),c_0_19]) ).
cnf(c_0_21,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_22,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_23,plain,
join(X1,complement(X2)) = complement(meet(complement(X1),X2)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_14]),c_0_22]) ).
cnf(c_0_25,plain,
join(X1,X2) = complement(meet(complement(X1),complement(X2))),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_26,plain,
join(zero,meet(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_12]) ).
cnf(c_0_27,plain,
complement(meet(complement(X1),meet(complement(X2),complement(X3)))) = complement(meet(complement(X2),meet(complement(X1),complement(X3)))),
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_24,c_0_25]),c_0_25]),c_0_20]),c_0_25]),c_0_25]),c_0_20]) ).
cnf(c_0_28,plain,
complement(meet(complement(zero),complement(meet(X1,X1)))) = X1,
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_29,plain,
complement(meet(complement(X1),meet(complement(X2),X1))) = complement(meet(zero,complement(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_17]),c_0_20]),c_0_16]) ).
cnf(c_0_30,plain,
meet(complement(zero),complement(meet(X1,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_31,plain,
complement(meet(meet(X1,X1),complement(X1))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_20]),c_0_17]) ).
cnf(c_0_32,plain,
meet(meet(X1,X1),complement(X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_31]),c_0_20]) ).
cnf(c_0_33,plain,
meet(complement(X1),meet(X1,X1)) = zero,
inference(spm,[status(thm)],[c_0_16,c_0_32]) ).
cnf(c_0_34,plain,
complement(meet(zero,complement(X1))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_33]),c_0_20]),c_0_17]),c_0_16]) ).
cnf(c_0_35,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_36,plain,
complement(meet(complement(X1),meet(complement(X2),X1))) = complement(zero),
inference(rw,[status(thm)],[c_0_29,c_0_34]) ).
cnf(c_0_37,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_38,plain,
meet(complement(X1),meet(complement(X2),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_36]),c_0_20]) ).
cnf(c_0_39,plain,
complement(meet(X1,complement(composition(converse(X2),complement(composition(X2,X1)))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_25]),c_0_20]) ).
cnf(c_0_40,plain,
complement(meet(complement(meet(X1,X2)),complement(meet(X1,complement(X2))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_23]),c_0_25]),c_0_20]) ).
cnf(c_0_41,plain,
meet(complement(X1),meet(X2,X1)) = zero,
inference(spm,[status(thm)],[c_0_38,c_0_20]) ).
cnf(c_0_42,plain,
meet(X1,complement(composition(converse(X2),complement(composition(X2,X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_39]),c_0_20]) ).
cnf(c_0_43,plain,
meet(complement(meet(X1,X2)),complement(meet(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_20,c_0_40]) ).
cnf(c_0_44,plain,
meet(X1,composition(converse(X2),complement(composition(X2,X1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_20]),c_0_16]) ).
cnf(c_0_45,plain,
meet(zero,complement(X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_34]),c_0_20]) ).
cnf(c_0_46,plain,
complement(meet(meet(complement(X1),complement(X2)),complement(X3))) = complement(meet(complement(X1),meet(complement(X2),complement(X3)))),
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_22,c_0_25]),c_0_25]),c_0_20]),c_0_25]),c_0_25]),c_0_20]) ).
cnf(c_0_47,plain,
meet(complement(meet(X1,X2)),complement(meet(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_43,c_0_16]) ).
cnf(c_0_48,plain,
meet(complement(zero),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_42]) ).
cnf(c_0_49,plain,
meet(zero,X1) = zero,
inference(spm,[status(thm)],[c_0_45,c_0_20]) ).
cnf(c_0_50,plain,
meet(meet(complement(X1),complement(X2)),complement(X3)) = meet(complement(X1),meet(complement(X2),complement(X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_46]),c_0_20]) ).
cnf(c_0_51,plain,
meet(complement(meet(X1,X2)),complement(meet(complement(X1),X2))) = complement(X2),
inference(spm,[status(thm)],[c_0_47,c_0_16]) ).
cnf(c_0_52,plain,
meet(complement(zero),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_16]),c_0_49]),c_0_20]),c_0_20]) ).
cnf(c_0_53,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_54,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_55,plain,
meet(meet(complement(X1),complement(X2)),X3) = meet(complement(X1),meet(complement(X2),X3)),
inference(spm,[status(thm)],[c_0_50,c_0_20]) ).
cnf(c_0_56,plain,
complement(meet(X1,meet(X2,X1))) = complement(meet(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_41]),c_0_20]),c_0_52]) ).
cnf(c_0_57,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
meet(meet(complement(X1),X2),X3) = meet(complement(X1),meet(X2,X3)),
inference(spm,[status(thm)],[c_0_55,c_0_20]) ).
cnf(c_0_59,plain,
complement(meet(X1,X1)) = complement(X1),
inference(rw,[status(thm)],[c_0_30,c_0_48]) ).
cnf(c_0_60,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_56]),c_0_20]) ).
cnf(c_0_61,plain,
converse(complement(meet(complement(converse(X1)),complement(X2)))) = complement(meet(complement(X1),complement(converse(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_25]),c_0_25]) ).
cnf(c_0_62,plain,
meet(X1,complement(meet(complement(zero),meet(X1,X1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_20]),c_0_20]),c_0_16]) ).
cnf(c_0_63,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_58,c_0_20]) ).
cnf(c_0_64,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_59]),c_0_20]) ).
cnf(c_0_65,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_16]) ).
cnf(c_0_66,plain,
complement(meet(complement(X1),complement(converse(complement(converse(X1)))))) = converse(complement(zero)),
inference(spm,[status(thm)],[c_0_61,c_0_17]) ).
cnf(c_0_67,plain,
meet(complement(meet(X1,X2)),complement(meet(X2,complement(X1)))) = complement(X2),
inference(spm,[status(thm)],[c_0_43,c_0_16]) ).
cnf(c_0_68,plain,
meet(X1,meet(X2,complement(meet(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_52]) ).
cnf(c_0_69,plain,
meet(complement(X1),complement(meet(X1,X2))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_47]),c_0_16]) ).
cnf(c_0_70,plain,
meet(complement(X1),complement(converse(complement(converse(X1))))) = complement(converse(complement(zero))),
inference(spm,[status(thm)],[c_0_20,c_0_66]) ).
cnf(c_0_71,plain,
complement(meet(X1,complement(meet(X2,X1)))) = complement(meet(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_67,c_0_68]),c_0_63]),c_0_16]),c_0_69]),c_0_52]) ).
cnf(c_0_72,plain,
meet(X1,complement(converse(complement(converse(complement(X1)))))) = complement(converse(complement(zero))),
inference(spm,[status(thm)],[c_0_70,c_0_20]) ).
cnf(c_0_73,plain,
meet(X1,complement(meet(X2,X1))) = meet(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_71]),c_0_20]) ).
cnf(c_0_74,plain,
meet(X1,meet(X2,complement(meet(X2,X1)))) = zero,
inference(spm,[status(thm)],[c_0_68,c_0_16]) ).
cnf(c_0_75,plain,
meet(X1,complement(zero)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_48]),c_0_20]),c_0_20]),c_0_49]),c_0_20]) ).
cnf(c_0_76,plain,
meet(complement(X1),complement(meet(X2,X1))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_51]),c_0_16]) ).
cnf(c_0_77,plain,
converse(complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_72]),c_0_20]) ).
cnf(c_0_78,plain,
meet(X1,complement(meet(X1,X2))) = meet(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_73,c_0_74]),c_0_75]),c_0_63]),c_0_16]),c_0_76]) ).
cnf(c_0_79,plain,
meet(complement(X1),complement(converse(complement(converse(X1))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_77]),c_0_20]) ).
cnf(c_0_80,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_81,plain,
meet(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_75]),c_0_20]) ).
cnf(c_0_82,plain,
converse(complement(meet(complement(X1),complement(converse(X2))))) = complement(meet(complement(converse(X1)),complement(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_25]),c_0_25]) ).
cnf(c_0_83,plain,
meet(converse(complement(X1)),complement(converse(X1))) = complement(converse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_54]),c_0_16]) ).
cnf(c_0_84,plain,
converse(complement(meet(X1,complement(converse(X2))))) = complement(meet(complement(converse(complement(X1))),complement(X2))),
inference(spm,[status(thm)],[c_0_82,c_0_20]) ).
cnf(c_0_85,plain,
meet(converse(X1),complement(converse(complement(X1)))) = complement(converse(complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_83]),c_0_20]),c_0_20]),c_0_73]) ).
cnf(c_0_86,plain,
complement(meet(X1,complement(converse(complement(converse(X1)))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_20]),c_0_54]),c_0_20]),c_0_16]) ).
cnf(c_0_87,plain,
meet(complement(zero),complement(meet(complement(zero),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_88,plain,
meet(X1,complement(converse(complement(converse(complement(X1)))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_77]),c_0_20]) ).
cnf(c_0_89,plain,
meet(complement(zero),complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_49]),c_0_49]) ).
cnf(c_0_90,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_54]),c_0_85]),c_0_20]) ).
cnf(c_0_91,plain,
converse(complement(meet(complement(converse(X1)),X2))) = complement(meet(complement(X1),complement(converse(complement(X2))))),
inference(spm,[status(thm)],[c_0_61,c_0_20]) ).
cnf(c_0_92,plain,
converse(complement(converse(zero))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_20]),c_0_20]) ).
cnf(c_0_93,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_94,plain,
converse(meet(converse(complement(X1)),X2)) = meet(complement(X1),converse(X2)),
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_90,c_0_91]),c_0_20]),c_0_90]),c_0_20]),c_0_20]),c_0_90]) ).
cnf(c_0_95,plain,
complement(converse(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_92]),c_0_77]) ).
cnf(c_0_96,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_93,c_0_54]) ).
cnf(c_0_97,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_98,plain,
converse(meet(converse(X1),X2)) = meet(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_94,c_0_20]) ).
cnf(c_0_99,plain,
converse(zero) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_95]),c_0_20]) ).
cnf(c_0_100,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_93,c_0_54]) ).
cnf(c_0_101,plain,
converse(complement(composition(X1,converse(X2)))) = complement(composition(X2,converse(X1))),
inference(spm,[status(thm)],[c_0_90,c_0_96]) ).
cnf(c_0_102,plain,
complement(meet(complement(composition(X1,X2)),complement(composition(X3,X2)))) = composition(complement(meet(complement(X1),complement(X3))),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_25]),c_0_25]) ).
cnf(c_0_103,plain,
meet(X1,meet(complement(meet(X1,X2)),X3)) = meet(X1,meet(complement(X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_78]),c_0_63]) ).
cnf(c_0_104,plain,
meet(X1,composition(complement(composition(X1,converse(X2))),X2)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_44]),c_0_99]),c_0_100]),c_0_101]) ).
cnf(c_0_105,plain,
meet(complement(composition(X1,X2)),composition(complement(meet(complement(X1),complement(X3))),X2)) = meet(complement(composition(X1,X2)),composition(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_102]),c_0_20]) ).
cnf(c_0_106,plain,
meet(X1,meet(complement(composition(complement(composition(X1,converse(X2))),X2)),X3)) = meet(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_52]) ).
cnf(c_0_107,plain,
meet(complement(composition(X1,X2)),composition(meet(X3,complement(X1)),X2)) = meet(complement(composition(X1,X2)),composition(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_73]),c_0_105]) ).
cnf(c_0_108,plain,
meet(X1,composition(meet(X2,composition(X1,converse(X3))),X3)) = meet(X1,composition(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_106]),c_0_20]) ).
cnf(c_0_109,plain,
meet(X1,converse(composition(meet(X2,converse(composition(X3,X1))),X3))) = meet(X1,converse(composition(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_108]),c_0_98]),c_0_93]) ).
cnf(c_0_110,plain,
composition(meet(converse(X1),X2),converse(X3)) = converse(composition(X3,meet(X1,converse(X2)))),
inference(spm,[status(thm)],[c_0_96,c_0_98]) ).
cnf(c_0_111,plain,
meet(X1,composition(X2,meet(X3,composition(converse(X2),X1)))) = meet(X1,composition(X2,X3)),
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_109,c_0_110]),c_0_100]),c_0_100]),c_0_54]),c_0_93]),c_0_54]) ).
cnf(c_0_112,plain,
meet(X1,complement(composition(X2,complement(composition(converse(X2),X1))))) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_54]) ).
cnf(c_0_113,negated_conjecture,
meet(composition(sk1,sk2),complement(composition(sk1,sk3))) != meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))),
goals_14 ).
cnf(c_0_114,plain,
meet(X1,composition(X2,meet(X3,meet(X4,composition(converse(X2),X1))))) = meet(X1,composition(X2,meet(X3,X4))),
inference(spm,[status(thm)],[c_0_111,c_0_63]) ).
cnf(c_0_115,plain,
meet(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) = composition(X2,complement(composition(converse(X2),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_112]),c_0_20]),c_0_78]),c_0_20]) ).
cnf(c_0_116,negated_conjecture,
meet(complement(composition(sk1,sk3)),composition(sk1,meet(sk2,complement(sk3)))) != meet(composition(sk1,sk2),complement(composition(sk1,sk3))),
inference(rw,[status(thm)],[c_0_113,c_0_16]) ).
cnf(c_0_117,plain,
meet(complement(composition(X1,X2)),composition(X1,meet(X3,complement(X2)))) = meet(complement(composition(X1,X2)),composition(X1,X3)),
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_115]),c_0_54]),c_0_54]),c_0_111]),c_0_54]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL016-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n003.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 15:14:33 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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.HlClUmde8d/E---3.1_30518.p
% 1013.12/128.15 # Version: 3.1pre001
% 1013.12/128.15 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1013.12/128.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1013.12/128.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1013.12/128.15 # Starting new_bool_3 with 300s (1) cores
% 1013.12/128.15 # Starting new_bool_1 with 300s (1) cores
% 1013.12/128.15 # Starting sh5l with 300s (1) cores
% 1013.12/128.15 # sh5l with pid 30630 completed with status 0
% 1013.12/128.15 # Result found by sh5l
% 1013.12/128.15 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1013.12/128.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1013.12/128.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1013.12/128.15 # Starting new_bool_3 with 300s (1) cores
% 1013.12/128.15 # Starting new_bool_1 with 300s (1) cores
% 1013.12/128.15 # Starting sh5l with 300s (1) cores
% 1013.12/128.15 # SinE strategy is gf500_gu_R04_F100_L20000
% 1013.12/128.15 # Search class: FUUPM-FFSF21-MFFFFFNN
% 1013.12/128.15 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1013.12/128.15 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 1013.12/128.15 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 30637 completed with status 0
% 1013.12/128.15 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 1013.12/128.15 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1013.12/128.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1013.12/128.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1013.12/128.15 # Starting new_bool_3 with 300s (1) cores
% 1013.12/128.15 # Starting new_bool_1 with 300s (1) cores
% 1013.12/128.15 # Starting sh5l with 300s (1) cores
% 1013.12/128.15 # SinE strategy is gf500_gu_R04_F100_L20000
% 1013.12/128.15 # Search class: FUUPM-FFSF21-MFFFFFNN
% 1013.12/128.15 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1013.12/128.15 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 1013.12/128.15 # Preprocessing time : 0.001 s
% 1013.12/128.15 # Presaturation interreduction done
% 1013.12/128.15
% 1013.12/128.15 # Proof found!
% 1013.12/128.15 # SZS status Unsatisfiable
% 1013.12/128.15 # SZS output start CNFRefutation
% See solution above
% 1013.12/128.15 # Parsed axioms : 14
% 1013.12/128.15 # Removed by relevancy pruning/SinE : 2
% 1013.12/128.15 # Initial clauses : 12
% 1013.12/128.15 # Removed in clause preprocessing : 0
% 1013.12/128.15 # Initial clauses in saturation : 12
% 1013.12/128.15 # Processed clauses : 53997
% 1013.12/128.15 # ...of these trivial : 33869
% 1013.12/128.15 # ...subsumed : 17272
% 1013.12/128.15 # ...remaining for further processing : 2856
% 1013.12/128.15 # Other redundant clauses eliminated : 0
% 1013.12/128.15 # Clauses deleted for lack of memory : 163345
% 1013.12/128.15 # Backward-subsumed : 12
% 1013.12/128.15 # Backward-rewritten : 383
% 1013.12/128.15 # Generated clauses : 4507246
% 1013.12/128.15 # ...of the previous two non-redundant : 2712868
% 1013.12/128.15 # ...aggressively subsumed : 0
% 1013.12/128.15 # Contextual simplify-reflections : 0
% 1013.12/128.15 # Paramodulations : 4507246
% 1013.12/128.15 # Factorizations : 0
% 1013.12/128.15 # NegExts : 0
% 1013.12/128.15 # Equation resolutions : 0
% 1013.12/128.15 # Total rewrite steps : 11294090
% 1013.12/128.15 # Propositional unsat checks : 0
% 1013.12/128.15 # Propositional check models : 0
% 1013.12/128.15 # Propositional check unsatisfiable : 0
% 1013.12/128.15 # Propositional clauses : 0
% 1013.12/128.15 # Propositional clauses after purity: 0
% 1013.12/128.15 # Propositional unsat core size : 0
% 1013.12/128.15 # Propositional preprocessing time : 0.000
% 1013.12/128.15 # Propositional encoding time : 0.000
% 1013.12/128.15 # Propositional solver time : 0.000
% 1013.12/128.15 # Success case prop preproc time : 0.000
% 1013.12/128.15 # Success case prop encoding time : 0.000
% 1013.12/128.15 # Success case prop solver time : 0.000
% 1013.12/128.15 # Current number of processed clauses : 2449
% 1013.12/128.15 # Positive orientable unit clauses : 2391
% 1013.12/128.15 # Positive unorientable unit clauses: 58
% 1013.12/128.15 # Negative unit clauses : 0
% 1013.12/128.15 # Non-unit-clauses : 0
% 1013.12/128.15 # Current number of unprocessed clauses: 1197789
% 1013.12/128.15 # ...number of literals in the above : 1197789
% 1013.12/128.15 # Current number of archived formulas : 0
% 1013.12/128.15 # Current number of archived clauses : 407
% 1013.12/128.15 # Clause-clause subsumption calls (NU) : 0
% 1013.12/128.15 # Rec. Clause-clause subsumption calls : 0
% 1013.12/128.15 # Non-unit clause-clause subsumptions : 0
% 1013.12/128.15 # Unit Clause-clause subsumption calls : 2636
% 1013.12/128.15 # Rewrite failures with RHS unbound : 0
% 1013.12/128.15 # BW rewrite match attempts : 89899
% 1013.12/128.15 # BW rewrite match successes : 760
% 1013.12/128.15 # Condensation attempts : 0
% 1013.12/128.15 # Condensation successes : 0
% 1013.12/128.15 # Termbank termtop insertions : 99029625
% 1013.12/128.15
% 1013.12/128.15 # -------------------------------------------------
% 1013.12/128.15 # User time : 124.622 s
% 1013.12/128.15 # System time : 2.102 s
% 1013.12/128.15 # Total time : 126.724 s
% 1013.12/128.15 # Maximum resident set size: 1628 pages
% 1013.12/128.15
% 1013.12/128.15 # -------------------------------------------------
% 1013.12/128.15 # User time : 124.625 s
% 1013.12/128.15 # System time : 2.108 s
% 1013.12/128.15 # Total time : 126.733 s
% 1013.12/128.15 # Maximum resident set size: 1688 pages
% 1013.12/128.15 % E---3.1 exiting
% 1013.12/128.15 % E---3.1 exiting
%------------------------------------------------------------------------------