TSTP Solution File: REL034-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : REL034-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:13:47 EDT 2023
% Result : Unsatisfiable 1466.78s 210.38s
% Output : CNFRefutation 1466.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 13
% Syntax : Number of clauses : 128 ( 128 unt; 0 nHn; 31 RR)
% Number of literals : 128 ( 127 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 158 ( 14 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/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.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/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',maddux4_definiton_of_meet_4) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',maddux1_join_commutativity_1) ).
cnf(def_top_12,axiom,
top = join(X1,complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',def_top_12) ).
cnf(def_zero_13,axiom,
zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',def_zero_13) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',maddux2_join_associativity_2) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',converse_additivity_9) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',converse_idempotence_8) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',converse_cancellativity_11) ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',converse_multiplicativity_10) ).
cnf(goals_14,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.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.JGJYBM1y05/E---3.1_21400.p',composition_distributivity_7) ).
cnf(goals_15,negated_conjecture,
join(composition(sk2,meet(sk1,sk3)),composition(meet(sk2,converse(sk1)),meet(sk1,sk3))) != composition(meet(sk2,converse(sk1)),meet(sk1,sk3)),
file('/export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p',goals_15) ).
cnf(c_0_13,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_14,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_15,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_17,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_18,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_19,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_14]),c_0_16]) ).
cnf(c_0_20,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_16]),c_0_14]) ).
cnf(c_0_21,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_17]),c_0_18]) ).
cnf(c_0_22,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
meet(top,zero) = zero,
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_24,plain,
join(meet(X1,top),meet(zero,X1)) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_25,plain,
join(zero,meet(top,complement(zero))) = top,
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_26,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_27,plain,
complement(zero) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_18]),c_0_20]),c_0_16]),c_0_25]) ).
cnf(c_0_28,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_26,c_0_17]) ).
cnf(c_0_29,plain,
complement(join(top,complement(X1))) = meet(zero,X1),
inference(spm,[status(thm)],[c_0_14,c_0_27]) ).
cnf(c_0_30,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_28,c_0_17]) ).
cnf(c_0_31,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_32,plain,
complement(join(X1,top)) = meet(zero,complement(X1)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_34,plain,
complement(join(zero,zero)) = meet(top,top),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_35,plain,
join(zero,meet(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_18]),c_0_14]) ).
cnf(c_0_36,plain,
complement(join(top,X1)) = meet(zero,complement(X1)),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_37,plain,
join(X1,join(zero,complement(X1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_17]),c_0_21]),c_0_16]) ).
cnf(c_0_38,plain,
meet(top,join(zero,zero)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_34]),c_0_35]),c_0_21]) ).
cnf(c_0_39,plain,
join(meet(X1,X2),meet(X2,complement(X1))) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_40,plain,
meet(zero,meet(top,top)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_21]),c_0_21]),c_0_34]) ).
cnf(c_0_41,plain,
join(zero,meet(top,meet(top,top))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_38]),c_0_34]) ).
cnf(c_0_42,plain,
meet(top,top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_27]),c_0_20]),c_0_41]) ).
cnf(c_0_43,plain,
meet(zero,complement(complement(X1))) = meet(X1,zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_27]),c_0_32]) ).
cnf(c_0_44,plain,
complement(join(zero,zero)) = top,
inference(rw,[status(thm)],[c_0_34,c_0_42]) ).
cnf(c_0_45,plain,
meet(zero,join(zero,zero)) = meet(zero,zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_21]),c_0_20]) ).
cnf(c_0_46,plain,
join(zero,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_39,c_0_45]),c_0_27]),c_0_20]),c_0_38]),c_0_16]),c_0_35]) ).
cnf(c_0_47,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_26,c_0_46]) ).
cnf(c_0_48,plain,
join(zero,meet(X1,complement(complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_49,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,plain,
complement(complement(X1)) = meet(top,X1),
inference(rw,[status(thm)],[c_0_31,c_0_49]) ).
cnf(c_0_51,plain,
join(meet(X1,complement(X2)),meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_39]) ).
cnf(c_0_52,plain,
meet(meet(top,X1),complement(X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_50]),c_0_20]) ).
cnf(c_0_53,plain,
meet(X1,meet(top,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_54,plain,
meet(top,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_49]) ).
cnf(c_0_55,plain,
join(top,zero) = top,
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_56,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_50,c_0_54]) ).
cnf(c_0_57,plain,
join(top,join(zero,X1)) = join(top,X1),
inference(spm,[status(thm)],[c_0_26,c_0_55]) ).
cnf(c_0_58,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_59,plain,
complement(meet(X1,X2)) = join(complement(X1),complement(X2)),
inference(spm,[status(thm)],[c_0_56,c_0_14]) ).
cnf(c_0_60,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_35,c_0_49]) ).
cnf(c_0_61,plain,
join(top,join(X1,zero)) = join(top,X1),
inference(spm,[status(thm)],[c_0_57,c_0_16]) ).
cnf(c_0_62,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_16,c_0_26]) ).
cnf(c_0_63,plain,
join(converse(X1),converse(complement(X1))) = converse(top),
inference(spm,[status(thm)],[c_0_58,c_0_17]) ).
cnf(c_0_64,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_65,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
join(zero,join(top,X1)) = join(top,X1),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_16]),c_0_26]) ).
cnf(c_0_69,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_65,c_0_56]) ).
cnf(c_0_70,plain,
join(complement(X1),join(complement(X2),meet(X1,X2))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_26]) ).
cnf(c_0_71,plain,
join(zero,converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_26]),c_0_69]) ).
cnf(c_0_73,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_60]),c_0_16]),c_0_17]),c_0_16]) ).
cnf(c_0_74,plain,
join(top,converse(zero)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_71]),c_0_64]),c_0_64]),c_0_16]) ).
cnf(c_0_75,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_22]),c_0_16]) ).
cnf(c_0_76,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_73,c_0_56]) ).
cnf(c_0_77,plain,
converse(complement(converse(zero))) = converse(top),
inference(spm,[status(thm)],[c_0_67,c_0_49]) ).
cnf(c_0_78,plain,
meet(zero,complement(converse(zero))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_74]),c_0_21]) ).
cnf(c_0_79,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_26,c_0_75]) ).
cnf(c_0_80,plain,
join(meet(X1,X2),meet(complement(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_81,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_14,c_0_56]) ).
cnf(c_0_82,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_67,c_0_76]) ).
cnf(c_0_83,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_84,plain,
complement(converse(zero)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_77]),c_0_64]) ).
cnf(c_0_85,plain,
join(zero,meet(zero,converse(zero))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_78]),c_0_16]) ).
cnf(c_0_86,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
complement(join(X1,X2)) = meet(complement(X1),complement(X2)),
inference(spm,[status(thm)],[c_0_81,c_0_56]) ).
cnf(c_0_88,plain,
join(converse(X1),converse(complement(X1))) = top,
inference(rw,[status(thm)],[c_0_63,c_0_82]) ).
cnf(c_0_89,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_83,c_0_16]) ).
cnf(c_0_90,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_91,plain,
meet(top,converse(zero)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_84]),c_0_20]) ).
cnf(c_0_92,plain,
meet(zero,converse(zero)) = zero,
inference(rw,[status(thm)],[c_0_85,c_0_49]) ).
cnf(c_0_93,plain,
join(complement(X1),meet(X1,X2)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_86,c_0_56]) ).
cnf(c_0_94,plain,
meet(complement(converse(X1)),complement(converse(complement(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_21]) ).
cnf(c_0_95,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_49]) ).
cnf(c_0_96,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_89]),c_0_90]),c_0_64]) ).
cnf(c_0_97,negated_conjecture,
composition(sk1,top) = sk1,
goals_14 ).
cnf(c_0_98,plain,
converse(zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_91]),c_0_21]),c_0_20]),c_0_92]),c_0_49]) ).
cnf(c_0_99,plain,
complement(join(complement(X1),meet(X2,X3))) = meet(X1,join(complement(X2),complement(X3))),
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_100,plain,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_56]),c_0_95]),c_0_56]) ).
cnf(c_0_101,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_102,negated_conjecture,
composition(converse(complement(sk1)),sk1) = 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_96,c_0_97]),c_0_21]),c_0_98]),c_0_49]),c_0_21]),c_0_98]) ).
cnf(c_0_103,plain,
meet(X1,join(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_75]),c_0_50]),c_0_54]),c_0_50]),c_0_54]) ).
cnf(c_0_104,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_100]),c_0_64]),c_0_64]) ).
cnf(c_0_105,plain,
join(composition(X1,X2),composition(meet(X1,X3),X2)) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_101,c_0_75]) ).
cnf(c_0_106,negated_conjecture,
composition(converse(sk1),complement(sk1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_102]),c_0_98]),c_0_64]) ).
cnf(c_0_107,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_103,c_0_56]) ).
cnf(c_0_108,plain,
join(converse(meet(X1,X2)),converse(meet(X1,complement(X2)))) = converse(X1),
inference(spm,[status(thm)],[c_0_58,c_0_19]) ).
cnf(c_0_109,plain,
join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_104,c_0_56]) ).
cnf(c_0_110,negated_conjecture,
composition(meet(converse(sk1),X1),complement(sk1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_49]) ).
cnf(c_0_111,plain,
meet(converse(X1),converse(meet(X1,X2))) = converse(meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_20]) ).
cnf(c_0_112,plain,
meet(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_109]),c_0_50]),c_0_54]),c_0_50]),c_0_54]) ).
cnf(c_0_113,plain,
join(X1,meet(X2,complement(X1))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_79,c_0_39]) ).
cnf(c_0_114,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(spm,[status(thm)],[c_0_100,c_0_64]) ).
cnf(c_0_115,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_80]),c_0_16]) ).
cnf(c_0_116,negated_conjecture,
composition(converse(meet(sk1,X1)),complement(sk1)) = zero,
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,plain,
complement(converse(complement(converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_112]),c_0_113]),c_0_114]) ).
cnf(c_0_118,plain,
join(composition(X1,X2),composition(meet(X3,X1),X2)) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_101,c_0_115]) ).
cnf(c_0_119,negated_conjecture,
composition(converse(complement(sk1)),meet(sk1,X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_116]),c_0_98]),c_0_64]) ).
cnf(c_0_120,plain,
converse(complement(converse(X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_56,c_0_117]) ).
cnf(c_0_121,negated_conjecture,
join(composition(sk2,meet(sk1,sk3)),composition(meet(sk2,converse(sk1)),meet(sk1,sk3))) != composition(meet(sk2,converse(sk1)),meet(sk1,sk3)),
goals_15 ).
cnf(c_0_122,plain,
join(composition(meet(X1,X2),X3),composition(meet(X1,complement(X2)),X3)) = composition(X1,X3),
inference(spm,[status(thm)],[c_0_101,c_0_19]) ).
cnf(c_0_123,negated_conjecture,
composition(meet(X1,converse(complement(sk1))),meet(sk1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_49]) ).
cnf(c_0_124,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[c_0_64,c_0_120]) ).
cnf(c_0_125,negated_conjecture,
composition(meet(sk2,converse(sk1)),meet(sk1,sk3)) != composition(sk2,meet(sk1,sk3)),
inference(rw,[status(thm)],[c_0_121,c_0_105]) ).
cnf(c_0_126,negated_conjecture,
composition(meet(X1,converse(sk1)),meet(sk1,X2)) = composition(X1,meet(sk1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_56]),c_0_49]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : REL034-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n019.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 15:13:06 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.JGJYBM1y05/E---3.1_21400.p
% 1466.78/210.38 # Version: 3.1pre001
% 1466.78/210.38 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1466.78/210.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1466.78/210.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1466.78/210.38 # Starting new_bool_3 with 300s (1) cores
% 1466.78/210.38 # Starting new_bool_1 with 300s (1) cores
% 1466.78/210.38 # Starting sh5l with 300s (1) cores
% 1466.78/210.38 # sh5l with pid 21481 completed with status 0
% 1466.78/210.38 # Result found by sh5l
% 1466.78/210.38 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1466.78/210.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1466.78/210.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1466.78/210.38 # Starting new_bool_3 with 300s (1) cores
% 1466.78/210.38 # Starting new_bool_1 with 300s (1) cores
% 1466.78/210.38 # Starting sh5l with 300s (1) cores
% 1466.78/210.38 # SinE strategy is gf500_gu_R04_F100_L20000
% 1466.78/210.38 # Search class: FUUPM-FFSF21-MFFFFFNN
% 1466.78/210.38 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1466.78/210.38 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 1466.78/210.38 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 21487 completed with status 7
% 1466.78/210.38 # Starting sh5l with 31s (1) cores
% 1466.78/210.38 # sh5l with pid 22257 completed with status 7
% 1466.78/210.38 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 28s (1) cores
% 1466.78/210.38 # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 22262 completed with status 7
% 1466.78/210.38 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 28s (1) cores
% 1466.78/210.38 # U----_043_B31_F1_PI_AE_CS_SP_S2S with pid 22265 completed with status 0
% 1466.78/210.38 # Result found by U----_043_B31_F1_PI_AE_CS_SP_S2S
% 1466.78/210.38 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1466.78/210.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1466.78/210.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1466.78/210.38 # Starting new_bool_3 with 300s (1) cores
% 1466.78/210.38 # Starting new_bool_1 with 300s (1) cores
% 1466.78/210.38 # Starting sh5l with 300s (1) cores
% 1466.78/210.38 # SinE strategy is gf500_gu_R04_F100_L20000
% 1466.78/210.38 # Search class: FUUPM-FFSF21-MFFFFFNN
% 1466.78/210.38 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1466.78/210.38 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 1466.78/210.38 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 21487 completed with status 7
% 1466.78/210.38 # Starting sh5l with 31s (1) cores
% 1466.78/210.38 # sh5l with pid 22257 completed with status 7
% 1466.78/210.38 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 28s (1) cores
% 1466.78/210.38 # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 22262 completed with status 7
% 1466.78/210.38 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 28s (1) cores
% 1466.78/210.38 # Preprocessing time : 0.001 s
% 1466.78/210.38
% 1466.78/210.38 # Proof found!
% 1466.78/210.38 # SZS status Unsatisfiable
% 1466.78/210.38 # SZS output start CNFRefutation
% See solution above
% 1466.78/210.38 # Parsed axioms : 15
% 1466.78/210.38 # Removed by relevancy pruning/SinE : 1
% 1466.78/210.38 # Initial clauses : 14
% 1466.78/210.38 # Removed in clause preprocessing : 0
% 1466.78/210.38 # Initial clauses in saturation : 14
% 1466.78/210.38 # Processed clauses : 26843
% 1466.78/210.38 # ...of these trivial : 15151
% 1466.78/210.38 # ...subsumed : 9483
% 1466.78/210.38 # ...remaining for further processing : 2209
% 1466.78/210.38 # Other redundant clauses eliminated : 0
% 1466.78/210.38 # Clauses deleted for lack of memory : 0
% 1466.78/210.38 # Backward-subsumed : 0
% 1466.78/210.38 # Backward-rewritten : 746
% 1466.78/210.38 # Generated clauses : 711318
% 1466.78/210.38 # ...of the previous two non-redundant : 372614
% 1466.78/210.38 # ...aggressively subsumed : 0
% 1466.78/210.38 # Contextual simplify-reflections : 0
% 1466.78/210.38 # Paramodulations : 711318
% 1466.78/210.38 # Factorizations : 0
% 1466.78/210.38 # NegExts : 0
% 1466.78/210.38 # Equation resolutions : 0
% 1466.78/210.38 # Total rewrite steps : 2196595
% 1466.78/210.38 # Propositional unsat checks : 0
% 1466.78/210.38 # Propositional check models : 0
% 1466.78/210.38 # Propositional check unsatisfiable : 0
% 1466.78/210.38 # Propositional clauses : 0
% 1466.78/210.38 # Propositional clauses after purity: 0
% 1466.78/210.38 # Propositional unsat core size : 0
% 1466.78/210.38 # Propositional preprocessing time : 0.000
% 1466.78/210.38 # Propositional encoding time : 0.000
% 1466.78/210.38 # Propositional solver time : 0.000
% 1466.78/210.38 # Success case prop preproc time : 0.000
% 1466.78/210.38 # Success case prop encoding time : 0.000
% 1466.78/210.38 # Success case prop solver time : 0.000
% 1466.78/210.38 # Current number of processed clauses : 1463
% 1466.78/210.38 # Positive orientable unit clauses : 1437
% 1466.78/210.38 # Positive unorientable unit clauses: 26
% 1466.78/210.38 # Negative unit clauses : 0
% 1466.78/210.38 # Non-unit-clauses : 0
% 1466.78/210.38 # Current number of unprocessed clauses: 332548
% 1466.78/210.38 # ...number of literals in the above : 332548
% 1466.78/210.38 # Current number of archived formulas : 0
% 1466.78/210.38 # Current number of archived clauses : 746
% 1466.78/210.38 # Clause-clause subsumption calls (NU) : 0
% 1466.78/210.38 # Rec. Clause-clause subsumption calls : 0
% 1466.78/210.38 # Non-unit clause-clause subsumptions : 0
% 1466.78/210.38 # Unit Clause-clause subsumption calls : 570
% 1466.78/210.38 # Rewrite failures with RHS unbound : 9575
% 1466.78/210.38 # BW rewrite match attempts : 13531
% 1466.78/210.38 # BW rewrite match successes : 4314
% 1466.78/210.38 # Condensation attempts : 0
% 1466.78/210.38 # Condensation successes : 0
% 1466.78/210.38 # Termbank termtop insertions : 12258298
% 1466.78/210.38
% 1466.78/210.38 # -------------------------------------------------
% 1466.78/210.38 # User time : 199.325 s
% 1466.78/210.38 # System time : 3.338 s
% 1466.78/210.38 # Total time : 202.662 s
% 1466.78/210.38 # Maximum resident set size: 1616 pages
% 1466.78/210.38
% 1466.78/210.38 # -------------------------------------------------
% 1466.78/210.38 # User time : 199.330 s
% 1466.78/210.38 # System time : 3.343 s
% 1466.78/210.38 # Total time : 202.672 s
% 1466.78/210.38 # Maximum resident set size: 1680 pages
% 1466.78/210.38 % E---3.1 exiting
% 1466.78/210.38 % E---3.1 exiting
%------------------------------------------------------------------------------