TSTP Solution File: REL019-2 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : REL019-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 19:13:33 EDT 2023
% Result : Unsatisfiable 46.40s 6.41s
% Output : CNFRefutation 46.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 17
% Syntax : Number of clauses : 163 ( 163 unt; 0 nHn; 28 RR)
% Number of literals : 163 ( 162 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 242 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',maddux4_definiton_of_meet_4) ).
cnf(def_top_12,axiom,
top = join(X1,complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',def_top_12) ).
cnf(def_zero_13,axiom,
zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.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.V5D4y1SDiA/E---3.1_5664.p',maddux2_join_associativity_2) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',maddux1_join_commutativity_1) ).
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.V5D4y1SDiA/E---3.1_5664.p',maddux3_a_kind_of_de_Morgan_3) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',converse_additivity_9) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',converse_idempotence_8) ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',converse_multiplicativity_10) ).
cnf(composition_associativity_5,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',composition_associativity_5) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',converse_cancellativity_11) ).
cnf(goals_18,negated_conjecture,
composition(sk2,top) = sk2,
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',goals_18) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',composition_distributivity_7) ).
cnf(modular_law_2_16,axiom,
join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',modular_law_2_16) ).
cnf(modular_law_1_15,axiom,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',modular_law_1_15) ).
cnf(goals_17,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',goals_17) ).
cnf(goals_19,negated_conjecture,
composition(meet(sk1,sk2),top) != meet(sk1,sk2),
file('/export/starexec/sandbox2/tmp/tmp.V5D4y1SDiA/E---3.1_5664.p',goals_19) ).
cnf(c_0_17,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_18,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_19,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_20,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_21,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_23,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_24,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_25,plain,
meet(top,zero) = zero,
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_26,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_22]),c_0_17]) ).
cnf(c_0_27,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_28,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_24,c_0_17]) ).
cnf(c_0_29,plain,
meet(zero,top) = zero,
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
join(top,complement(zero)) = join(top,top),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_31,plain,
join(X1,join(X2,complement(X1))) = join(top,X2),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_32,plain,
join(zero,complement(join(top,top))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_22]),c_0_30]) ).
cnf(c_0_33,plain,
join(zero,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_21]),c_0_22]) ).
cnf(c_0_34,plain,
join(top,top) = top,
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_32]),c_0_20]),c_0_22]),c_0_33]),c_0_22]),c_0_33]) ).
cnf(c_0_35,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_36,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_34]),c_0_21]) ).
cnf(c_0_37,plain,
join(X1,join(X2,complement(join(X2,X1)))) = top,
inference(spm,[status(thm)],[c_0_35,c_0_22]) ).
cnf(c_0_38,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_39,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_20,c_0_36]) ).
cnf(c_0_40,plain,
join(zero,meet(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_17]) ).
cnf(c_0_41,plain,
join(complement(X1),join(X1,zero)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_18]),c_0_21]) ).
cnf(c_0_42,plain,
complement(join(zero,zero)) = meet(top,top),
inference(spm,[status(thm)],[c_0_38,c_0_21]) ).
cnf(c_0_43,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
join(complement(X1),join(zero,X1)) = top,
inference(spm,[status(thm)],[c_0_41,c_0_22]) ).
cnf(c_0_45,plain,
join(complement(X1),join(X2,X1)) = join(top,meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_20]) ).
cnf(c_0_46,plain,
complement(zero) = meet(top,top),
inference(rw,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_47,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_40,c_0_43]) ).
cnf(c_0_48,plain,
join(top,meet(X1,zero)) = top,
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
complement(zero) = top,
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,plain,
join(top,join(X1,zero)) = join(top,X1),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_51,plain,
join(top,meet(zero,X1)) = top,
inference(spm,[status(thm)],[c_0_48,c_0_26]) ).
cnf(c_0_52,plain,
join(top,X1) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_53,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_27,c_0_52]) ).
cnf(c_0_54,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_43]) ).
cnf(c_0_55,plain,
meet(X1,top) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_53]),c_0_21]),c_0_54]) ).
cnf(c_0_56,plain,
meet(top,X1) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_55]) ).
cnf(c_0_57,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_43]),c_0_56]) ).
cnf(c_0_58,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_17,c_0_57]) ).
cnf(c_0_59,plain,
join(X1,join(X2,complement(X1))) = top,
inference(rw,[status(thm)],[c_0_31,c_0_52]) ).
cnf(c_0_60,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_59]),c_0_57]),c_0_21]),c_0_54]) ).
cnf(c_0_62,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_47]),c_0_57]),c_0_57]) ).
cnf(c_0_63,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_61,c_0_22]) ).
cnf(c_0_64,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_62]) ).
cnf(c_0_65,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_28]),c_0_26]) ).
cnf(c_0_66,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_67,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_68,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_28]),c_0_22]) ).
cnf(c_0_69,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_65,c_0_26]) ).
cnf(c_0_70,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,plain,
complement(join(complement(X1),X2)) = meet(complement(X2),X1),
inference(spm,[status(thm)],[c_0_58,c_0_22]) ).
cnf(c_0_73,plain,
join(top,join(top,X1)) = join(top,X1),
inference(spm,[status(thm)],[c_0_20,c_0_34]) ).
cnf(c_0_74,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_70,c_0_18]) ).
cnf(c_0_75,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_71]) ).
cnf(c_0_76,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(rw,[status(thm)],[c_0_28,c_0_72]) ).
cnf(c_0_77,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_78,plain,
join(top,converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_22]),c_0_20]) ).
cnf(c_0_81,plain,
meet(complement(X1),complement(X2)) = complement(join(X1,X2)),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
cnf(c_0_82,plain,
converse(top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_67]),c_0_22]),c_0_78]) ).
cnf(c_0_83,plain,
meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_79]),c_0_72]),c_0_57]),c_0_26]) ).
cnf(c_0_84,plain,
join(X1,join(X2,meet(X1,X3))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_80,c_0_68]) ).
cnf(c_0_85,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_79,c_0_81]) ).
cnf(c_0_86,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_74,c_0_82]) ).
cnf(c_0_87,plain,
meet(X1,join(X2,complement(X1))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_83]),c_0_60]),c_0_57]),c_0_26]),c_0_65]) ).
cnf(c_0_88,plain,
join(meet(X1,X2),complement(X2)) = join(complement(X2),X1),
inference(spm,[status(thm)],[c_0_84,c_0_76]) ).
cnf(c_0_89,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_21]),c_0_54]) ).
cnf(c_0_90,plain,
meet(X1,join(complement(X1),X2)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_69]) ).
cnf(c_0_91,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_89]),c_0_67]),c_0_67]) ).
cnf(c_0_92,plain,
meet(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_86]),c_0_55]),c_0_26]) ).
cnf(c_0_93,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_94,plain,
converse(complement(converse(complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_91]),c_0_26]),c_0_92]) ).
cnf(c_0_95,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
composition_associativity_5 ).
cnf(c_0_96,plain,
composition(top,converse(X1)) = converse(composition(X1,top)),
inference(spm,[status(thm)],[c_0_93,c_0_82]) ).
cnf(c_0_97,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_98,plain,
complement(converse(complement(X1))) = converse(X1),
inference(spm,[status(thm)],[c_0_67,c_0_94]) ).
cnf(c_0_99,plain,
composition(converse(composition(X1,top)),X2) = composition(top,composition(converse(X1),X2)),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
composition(sk2,top) = sk2,
goals_18 ).
cnf(c_0_101,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_97,c_0_22]) ).
cnf(c_0_102,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[c_0_57,c_0_98]) ).
cnf(c_0_103,plain,
join(converse(zero),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_43]),c_0_67]) ).
cnf(c_0_104,negated_conjecture,
composition(top,composition(converse(sk2),X1)) = composition(converse(sk2),X1),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
composition(converse(sk2),complement(sk2)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_100]),c_0_21]),c_0_21]),c_0_43]) ).
cnf(c_0_106,plain,
join(converse(complement(X1)),composition(X2,converse(complement(composition(X1,X2))))) = converse(complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_93]),c_0_67]),c_0_102]),c_0_102]),c_0_102]) ).
cnf(c_0_107,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_54,c_0_103]) ).
cnf(c_0_108,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_109,negated_conjecture,
composition(top,zero) = zero,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_93,c_0_67]) ).
cnf(c_0_111,plain,
composition(join(X1,converse(X2)),converse(X3)) = converse(composition(X3,join(converse(X1),X2))),
inference(spm,[status(thm)],[c_0_93,c_0_70]) ).
cnf(c_0_112,axiom,
join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
modular_law_2_16 ).
cnf(c_0_113,plain,
composition(converse(X1),complement(composition(X1,top))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_96]),c_0_21]),c_0_107]),c_0_102]),c_0_67]),c_0_43]),c_0_21]),c_0_107]) ).
cnf(c_0_114,plain,
meet(zero,X1) = zero,
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_115,negated_conjecture,
composition(X1,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_43]),c_0_52]),c_0_109]) ).
cnf(c_0_116,axiom,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
modular_law_1_15 ).
cnf(c_0_117,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_66,c_0_110]) ).
cnf(c_0_118,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = converse(composition(X2,join(converse(X1),X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_93]),c_0_111]) ).
cnf(c_0_119,plain,
complement(join(X1,join(X2,complement(X3)))) = meet(complement(join(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_58,c_0_20]) ).
cnf(c_0_120,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(spm,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_121,negated_conjecture,
composition(join(X1,sk2),top) = join(sk2,composition(X1,top)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_100]),c_0_22]) ).
cnf(c_0_122,plain,
join(meet(composition(X1,X2),X3),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_26]),c_0_26]) ).
cnf(c_0_123,plain,
composition(converse(complement(composition(X1,top))),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_113]),c_0_107]) ).
cnf(c_0_124,plain,
composition(converse(X1),top) = converse(composition(top,X1)),
inference(spm,[status(thm)],[c_0_110,c_0_82]) ).
cnf(c_0_125,plain,
meet(X1,zero) = zero,
inference(spm,[status(thm)],[c_0_26,c_0_114]) ).
cnf(c_0_126,negated_conjecture,
composition(zero,X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_115]),c_0_107]),c_0_107]) ).
cnf(c_0_127,plain,
join(meet(composition(X1,X2),X3),meet(X3,composition(X1,meet(X2,composition(converse(X1),X3))))) = meet(X3,composition(X1,meet(X2,composition(converse(X1),X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_26]),c_0_26]) ).
cnf(c_0_128,plain,
converse(composition(top,top)) = composition(top,top),
inference(spm,[status(thm)],[c_0_96,c_0_82]) ).
cnf(c_0_129,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_67]),c_0_67]),c_0_67]),c_0_67]) ).
cnf(c_0_130,negated_conjecture,
composition(sk1,top) = sk1,
goals_17 ).
cnf(c_0_131,plain,
meet(meet(complement(X1),X2),X3) = meet(complement(X1),meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_58]),c_0_58]) ).
cnf(c_0_132,negated_conjecture,
join(sk2,composition(top,top)) = composition(top,top),
inference(spm,[status(thm)],[c_0_121,c_0_52]) ).
cnf(c_0_133,plain,
meet(composition(X1,X2),complement(composition(top,X2))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_102]),c_0_67]),c_0_124]),c_0_102]),c_0_67]),c_0_125]),c_0_126]),c_0_125]),c_0_54]),c_0_124]),c_0_102]),c_0_67]),c_0_125]),c_0_126]),c_0_125]) ).
cnf(c_0_134,plain,
join(meet(converse(composition(top,X1)),X2),meet(X2,composition(converse(X1),composition(X1,X2)))) = meet(X2,composition(converse(X1),composition(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_124]),c_0_67]),c_0_67]),c_0_56]),c_0_56]) ).
cnf(c_0_135,plain,
composition(converse(X1),composition(top,top)) = converse(composition(top,composition(top,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_128]),c_0_95]) ).
cnf(c_0_136,plain,
converse(composition(top,composition(top,top))) = composition(top,composition(top,top)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_128]),c_0_95]) ).
cnf(c_0_137,plain,
meet(composition(X1,X2),complement(composition(X1,top))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_113]),c_0_125]),c_0_115]),c_0_125]),c_0_54]),c_0_125]),c_0_115]),c_0_125]) ).
cnf(c_0_138,negated_conjecture,
join(sk2,composition(sk2,X1)) = sk2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_100]),c_0_53]),c_0_100]),c_0_22]) ).
cnf(c_0_139,negated_conjecture,
join(sk1,composition(sk1,X1)) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_53]),c_0_130]),c_0_22]) ).
cnf(c_0_140,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_131,c_0_57]) ).
cnf(c_0_141,negated_conjecture,
meet(sk2,composition(top,top)) = sk2,
inference(spm,[status(thm)],[c_0_63,c_0_132]) ).
cnf(c_0_142,plain,
join(meet(composition(X1,top),X2),meet(X2,composition(meet(X1,composition(X2,top)),top))) = meet(X2,composition(meet(X1,composition(X2,top)),top)),
inference(spm,[status(thm)],[c_0_122,c_0_82]) ).
cnf(c_0_143,plain,
meet(composition(top,X1),composition(X2,X1)) = composition(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_133]),c_0_57]),c_0_43]) ).
cnf(c_0_144,plain,
composition(top,composition(top,top)) = composition(top,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_128]),c_0_55]),c_0_136]),c_0_56]),c_0_129]),c_0_52]),c_0_136]),c_0_56]) ).
cnf(c_0_145,plain,
meet(composition(X1,top),composition(X1,X2)) = composition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_137]),c_0_57]),c_0_43]) ).
cnf(c_0_146,negated_conjecture,
join(sk2,join(composition(sk2,X1),X2)) = join(sk2,X2),
inference(spm,[status(thm)],[c_0_20,c_0_138]) ).
cnf(c_0_147,negated_conjecture,
join(sk1,join(composition(sk1,X1),X2)) = join(sk1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_139]) ).
cnf(c_0_148,negated_conjecture,
meet(sk2,meet(composition(top,top),X1)) = meet(sk2,X1),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_149,plain,
meet(composition(X1,X2),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(composition(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_122]),c_0_140]),c_0_65]) ).
cnf(c_0_150,plain,
composition(X1,composition(top,top)) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_95]),c_0_56]),c_0_95]),c_0_95]),c_0_144]),c_0_145]),c_0_129]),c_0_52]),c_0_95]),c_0_56]),c_0_95]),c_0_95]),c_0_144]),c_0_145]) ).
cnf(c_0_151,negated_conjecture,
join(sk2,composition(join(sk2,X1),X2)) = join(sk2,composition(X1,X2)),
inference(spm,[status(thm)],[c_0_146,c_0_108]) ).
cnf(c_0_152,negated_conjecture,
join(sk1,composition(join(sk1,X1),X2)) = join(sk1,composition(X1,X2)),
inference(spm,[status(thm)],[c_0_147,c_0_108]) ).
cnf(c_0_153,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_26,c_0_140]) ).
cnf(c_0_154,negated_conjecture,
meet(sk2,meet(X1,composition(X1,top))) = meet(sk2,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_148,c_0_149]),c_0_148]),c_0_82]),c_0_56]),c_0_95]),c_0_150]) ).
cnf(c_0_155,negated_conjecture,
join(sk2,composition(meet(X1,sk2),X2)) = sk2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_71]),c_0_138]) ).
cnf(c_0_156,negated_conjecture,
join(sk1,composition(meet(sk1,X1),X2)) = sk1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_68]),c_0_139]) ).
cnf(c_0_157,negated_conjecture,
meet(X1,meet(sk2,composition(X1,top))) = meet(sk2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_26]) ).
cnf(c_0_158,negated_conjecture,
meet(sk2,composition(meet(X1,sk2),X2)) = composition(meet(X1,sk2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_155]),c_0_26]) ).
cnf(c_0_159,negated_conjecture,
meet(sk1,composition(meet(sk1,X1),X2)) = composition(meet(sk1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_156]),c_0_26]) ).
cnf(c_0_160,negated_conjecture,
meet(X1,composition(meet(X1,sk2),top)) = meet(X1,sk2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_140]),c_0_158]),c_0_69]) ).
cnf(c_0_161,negated_conjecture,
composition(meet(sk1,sk2),top) != meet(sk1,sk2),
goals_19 ).
cnf(c_0_162,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : REL019-2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 15:17:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.51 Running first-order theorem proving
% 0.20/0.51 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.V5D4y1SDiA/E---3.1_5664.p
% 46.40/6.41 # Version: 3.1pre001
% 46.40/6.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 46.40/6.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.40/6.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 46.40/6.41 # Starting new_bool_3 with 300s (1) cores
% 46.40/6.41 # Starting new_bool_1 with 300s (1) cores
% 46.40/6.41 # Starting sh5l with 300s (1) cores
% 46.40/6.41 # sh5l with pid 5772 completed with status 0
% 46.40/6.41 # Result found by sh5l
% 46.40/6.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 46.40/6.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.40/6.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 46.40/6.41 # Starting new_bool_3 with 300s (1) cores
% 46.40/6.41 # Starting new_bool_1 with 300s (1) cores
% 46.40/6.41 # Starting sh5l with 300s (1) cores
% 46.40/6.41 # SinE strategy is gf500_gu_R04_F100_L20000
% 46.40/6.41 # Search class: FUUPM-FFMF21-DFFFFFNN
% 46.40/6.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 46.40/6.41 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 163s (1) cores
% 46.40/6.41 # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 5776 completed with status 0
% 46.40/6.41 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 46.40/6.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 46.40/6.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 46.40/6.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 46.40/6.41 # Starting new_bool_3 with 300s (1) cores
% 46.40/6.41 # Starting new_bool_1 with 300s (1) cores
% 46.40/6.41 # Starting sh5l with 300s (1) cores
% 46.40/6.41 # SinE strategy is gf500_gu_R04_F100_L20000
% 46.40/6.41 # Search class: FUUPM-FFMF21-DFFFFFNN
% 46.40/6.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 46.40/6.41 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 163s (1) cores
% 46.40/6.41 # Preprocessing time : 0.002 s
% 46.40/6.41 # Presaturation interreduction done
% 46.40/6.41
% 46.40/6.41 # Proof found!
% 46.40/6.41 # SZS status Unsatisfiable
% 46.40/6.41 # SZS output start CNFRefutation
% See solution above
% 46.40/6.41 # Parsed axioms : 19
% 46.40/6.41 # Removed by relevancy pruning/SinE : 1
% 46.40/6.41 # Initial clauses : 18
% 46.40/6.41 # Removed in clause preprocessing : 0
% 46.40/6.41 # Initial clauses in saturation : 18
% 46.40/6.41 # Processed clauses : 14331
% 46.40/6.41 # ...of these trivial : 7660
% 46.40/6.41 # ...subsumed : 5059
% 46.40/6.41 # ...remaining for further processing : 1612
% 46.40/6.41 # Other redundant clauses eliminated : 0
% 46.40/6.41 # Clauses deleted for lack of memory : 0
% 46.40/6.41 # Backward-subsumed : 0
% 46.40/6.41 # Backward-rewritten : 341
% 46.40/6.41 # Generated clauses : 405762
% 46.40/6.41 # ...of the previous two non-redundant : 246292
% 46.40/6.41 # ...aggressively subsumed : 0
% 46.40/6.41 # Contextual simplify-reflections : 0
% 46.40/6.41 # Paramodulations : 405762
% 46.40/6.41 # Factorizations : 0
% 46.40/6.41 # NegExts : 0
% 46.40/6.41 # Equation resolutions : 0
% 46.40/6.41 # Total rewrite steps : 1068247
% 46.40/6.41 # Propositional unsat checks : 0
% 46.40/6.41 # Propositional check models : 0
% 46.40/6.41 # Propositional check unsatisfiable : 0
% 46.40/6.41 # Propositional clauses : 0
% 46.40/6.41 # Propositional clauses after purity: 0
% 46.40/6.41 # Propositional unsat core size : 0
% 46.40/6.41 # Propositional preprocessing time : 0.000
% 46.40/6.41 # Propositional encoding time : 0.000
% 46.40/6.41 # Propositional solver time : 0.000
% 46.40/6.41 # Success case prop preproc time : 0.000
% 46.40/6.41 # Success case prop encoding time : 0.000
% 46.40/6.41 # Success case prop solver time : 0.000
% 46.40/6.41 # Current number of processed clauses : 1253
% 46.40/6.41 # Positive orientable unit clauses : 1242
% 46.40/6.41 # Positive unorientable unit clauses: 10
% 46.40/6.41 # Negative unit clauses : 1
% 46.40/6.41 # Non-unit-clauses : 0
% 46.40/6.41 # Current number of unprocessed clauses: 229749
% 46.40/6.41 # ...number of literals in the above : 229749
% 46.40/6.41 # Current number of archived formulas : 0
% 46.40/6.41 # Current number of archived clauses : 359
% 46.40/6.41 # Clause-clause subsumption calls (NU) : 0
% 46.40/6.41 # Rec. Clause-clause subsumption calls : 0
% 46.40/6.41 # Non-unit clause-clause subsumptions : 0
% 46.40/6.41 # Unit Clause-clause subsumption calls : 188
% 46.40/6.41 # Rewrite failures with RHS unbound : 0
% 46.40/6.41 # BW rewrite match attempts : 4542
% 46.40/6.41 # BW rewrite match successes : 871
% 46.40/6.41 # Condensation attempts : 0
% 46.40/6.41 # Condensation successes : 0
% 46.40/6.41 # Termbank termtop insertions : 8123516
% 46.40/6.41
% 46.40/6.41 # -------------------------------------------------
% 46.40/6.41 # User time : 5.469 s
% 46.40/6.41 # System time : 0.227 s
% 46.40/6.41 # Total time : 5.696 s
% 46.40/6.41 # Maximum resident set size: 1620 pages
% 46.40/6.41
% 46.40/6.41 # -------------------------------------------------
% 46.40/6.41 # User time : 5.469 s
% 46.40/6.41 # System time : 0.232 s
% 46.40/6.41 # Total time : 5.701 s
% 46.40/6.41 # Maximum resident set size: 1684 pages
% 46.40/6.41 % E---3.1 exiting
% 46.40/6.41 % E---3.1 exiting
%------------------------------------------------------------------------------