TSTP Solution File: REL041-2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : REL041-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 19:14:32 EDT 2023
% Result : Timeout 23.78s 300.24s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 16
% Syntax : Number of clauses : 135 ( 135 unt; 0 nHn; 11 RR)
% Number of literals : 135 ( 134 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 : 217 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',converse_multiplicativity_10) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',converse_idempotence_8) ).
cnf(composition_identity_6,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',composition_identity_6) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',converse_cancellativity_11) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',maddux1_join_commutativity_1) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',composition_distributivity_7) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',maddux4_definiton_of_meet_4) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',converse_additivity_9) ).
cnf(def_zero_13,axiom,
zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',def_zero_13) ).
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.r7W10moOYq/E---3.1_19547.p',maddux3_a_kind_of_de_Morgan_3) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',maddux2_join_associativity_2) ).
cnf(dedekind_law_14,axiom,
join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',dedekind_law_14) ).
cnf(goals_17,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',goals_17) ).
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/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',modular_law_1_15) ).
cnf(composition_associativity_5,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',composition_associativity_5) ).
cnf(goals_18,negated_conjecture,
meet(composition(sk1,sk2),composition(sk1,complement(sk2))) != zero,
file('/export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p',goals_18) ).
cnf(c_0_16,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_17,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_18,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_20,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_17]) ).
cnf(c_0_21,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_22,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_23,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_20,c_0_23]) ).
cnf(c_0_26,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_27,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_28,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_23]),c_0_25]) ).
cnf(c_0_29,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_22]) ).
cnf(c_0_30,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_31,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_32,plain,
complement(complement(X1)) = meet(X1,X1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_34,plain,
join(X1,X1) = composition(join(one,one),X1),
inference(spm,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_35,plain,
converse(join(X1,one)) = join(one,converse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_23]),c_0_22]) ).
cnf(c_0_36,plain,
join(meet(X1,X2),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_37,plain,
meet(complement(X1),meet(X1,X1)) = zero,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_39,plain,
join(X1,X1) = composition(X1,join(one,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30]),c_0_17]),c_0_35]),c_0_23]) ).
cnf(c_0_40,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_41,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_38,c_0_27]) ).
cnf(c_0_43,plain,
composition(complement(X1),join(one,one)) = complement(X1),
inference(spm,[status(thm)],[c_0_39,c_0_28]) ).
cnf(c_0_44,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_39]),c_0_31]),c_0_43]) ).
cnf(c_0_46,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_47]) ).
cnf(c_0_49,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_50,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_42]),c_0_22]) ).
cnf(c_0_51,plain,
meet(zero,X1) = zero,
inference(spm,[status(thm)],[c_0_46,c_0_50]) ).
cnf(c_0_52,plain,
complement(join(complement(zero),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_51]),c_0_46]) ).
cnf(c_0_53,plain,
join(complement(zero),X1) = complement(zero),
inference(spm,[status(thm)],[c_0_47,c_0_52]) ).
cnf(c_0_54,plain,
join(X1,complement(zero)) = complement(zero),
inference(spm,[status(thm)],[c_0_22,c_0_53]) ).
cnf(c_0_55,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_46]) ).
cnf(c_0_56,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_27]) ).
cnf(c_0_57,plain,
meet(X1,complement(zero)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_54]),c_0_47]),c_0_55]) ).
cnf(c_0_58,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_59,plain,
meet(complement(zero),X1) = X1,
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_56]) ).
cnf(c_0_61,plain,
complement(join(complement(X1),X2)) = meet(complement(X2),X1),
inference(spm,[status(thm)],[c_0_58,c_0_22]) ).
cnf(c_0_62,plain,
join(X1,complement(X1)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_59]),c_0_47]),c_0_46]) ).
cnf(c_0_63,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_64,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_40,c_0_60]) ).
cnf(c_0_65,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(rw,[status(thm)],[c_0_42,c_0_61]) ).
cnf(c_0_66,plain,
join(X1,join(complement(X1),X2)) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_62]),c_0_53]) ).
cnf(c_0_67,plain,
join(converse(complement(zero)),X1) = converse(complement(zero)),
inference(spm,[status(thm)],[c_0_63,c_0_53]) ).
cnf(c_0_68,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
meet(X1,join(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_66]),c_0_47]),c_0_47]),c_0_55]) ).
cnf(c_0_70,plain,
meet(complement(X1),complement(X2)) = complement(join(X1,X2)),
inference(spm,[status(thm)],[c_0_58,c_0_47]) ).
cnf(c_0_71,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_72,plain,
converse(complement(zero)) = complement(zero),
inference(spm,[status(thm)],[c_0_54,c_0_67]) ).
cnf(c_0_73,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_61,c_0_68]),c_0_61]),c_0_47]),c_0_56]) ).
cnf(c_0_74,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_47,c_0_58]) ).
cnf(c_0_75,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_42]),c_0_56]) ).
cnf(c_0_76,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_68,c_0_70]) ).
cnf(c_0_77,plain,
join(X1,converse(complement(converse(X1)))) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_62]),c_0_72]) ).
cnf(c_0_78,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_73,c_0_73]),c_0_74]),c_0_47]),c_0_56]),c_0_75]) ).
cnf(c_0_79,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_49,c_0_22]) ).
cnf(c_0_80,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_47]),c_0_55]) ).
cnf(c_0_81,plain,
meet(X1,join(complement(X1),X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_78,c_0_22]) ).
cnf(c_0_82,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_69,c_0_79]) ).
cnf(c_0_83,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_80]),c_0_17]),c_0_17]) ).
cnf(c_0_84,plain,
meet(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_77]),c_0_57]) ).
cnf(c_0_85,plain,
converse(complement(converse(complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_56]),c_0_84]) ).
cnf(c_0_86,plain,
complement(converse(complement(X1))) = converse(X1),
inference(spm,[status(thm)],[c_0_17,c_0_85]) ).
cnf(c_0_87,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[c_0_47,c_0_86]) ).
cnf(c_0_88,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(spm,[status(thm)],[c_0_74,c_0_47]) ).
cnf(c_0_89,plain,
converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))),
inference(spm,[status(thm)],[c_0_87,c_0_71]) ).
cnf(c_0_90,plain,
join(converse(complement(X1)),complement(X2)) = complement(meet(converse(X1),X2)),
inference(spm,[status(thm)],[c_0_88,c_0_87]) ).
cnf(c_0_91,plain,
join(complement(X1),converse(complement(X2))) = complement(meet(X1,converse(X2))),
inference(spm,[status(thm)],[c_0_88,c_0_87]) ).
cnf(c_0_92,plain,
join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_29]),c_0_33]),c_0_35]),c_0_33]) ).
cnf(c_0_93,plain,
complement(join(X1,join(X2,complement(X3)))) = meet(complement(join(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_58,c_0_40]) ).
cnf(c_0_94,plain,
converse(meet(converse(X1),X2)) = meet(X1,converse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_47]),c_0_91]),c_0_47]) ).
cnf(c_0_95,plain,
join(X1,composition(X1,X2)) = composition(X1,join(one,X2)),
inference(spm,[status(thm)],[c_0_92,c_0_17]) ).
cnf(c_0_96,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_93,c_0_88]),c_0_58]),c_0_58]) ).
cnf(c_0_97,plain,
meet(complement(X1),join(X1,X2)) = meet(X2,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_70]),c_0_47]),c_0_47]) ).
cnf(c_0_98,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_99,plain,
join(converse(zero),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_46]),c_0_17]) ).
cnf(c_0_100,plain,
composition(join(X1,one),zero) = composition(X1,zero),
inference(spm,[status(thm)],[c_0_29,c_0_46]) ).
cnf(c_0_101,plain,
converse(meet(X1,converse(X2))) = meet(converse(X1),X2),
inference(spm,[status(thm)],[c_0_17,c_0_94]) ).
cnf(c_0_102,plain,
join(X1,meet(X2,complement(X1))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_68,c_0_56]) ).
cnf(c_0_103,plain,
meet(composition(X1,X2),composition(X1,join(one,X2))) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_82,c_0_95]) ).
cnf(c_0_104,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_96,c_0_47]) ).
cnf(c_0_105,plain,
meet(one,composition(converse(X1),complement(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_47]),c_0_31]),c_0_47]),c_0_56]) ).
cnf(c_0_106,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_55,c_0_99]) ).
cnf(c_0_107,plain,
composition(join(X1,one),complement(zero)) = complement(zero),
inference(spm,[status(thm)],[c_0_29,c_0_53]) ).
cnf(c_0_108,plain,
composition(join(one,X1),zero) = composition(X1,zero),
inference(spm,[status(thm)],[c_0_100,c_0_22]) ).
cnf(c_0_109,axiom,
join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
dedekind_law_14 ).
cnf(c_0_110,plain,
meet(converse(X1),composition(converse(X2),X3)) = converse(meet(X1,composition(converse(X3),X2))),
inference(spm,[status(thm)],[c_0_101,c_0_18]) ).
cnf(c_0_111,plain,
meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_102]),c_0_61]),c_0_47]),c_0_56]) ).
cnf(c_0_112,plain,
meet(X1,composition(X1,meet(one,X2))) = composition(X1,meet(one,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_50]),c_0_19]),c_0_56]) ).
cnf(c_0_113,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_56]),c_0_104]) ).
cnf(c_0_114,plain,
meet(one,composition(X1,converse(complement(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_87]),c_0_17]) ).
cnf(c_0_115,plain,
meet(X1,zero) = zero,
inference(spm,[status(thm)],[c_0_56,c_0_51]) ).
cnf(c_0_116,plain,
converse(composition(X1,zero)) = composition(zero,converse(X1)),
inference(spm,[status(thm)],[c_0_16,c_0_106]) ).
cnf(c_0_117,plain,
composition(converse(X1),zero) = 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(spm,[status(thm)],[c_0_24,c_0_107]),c_0_47]),c_0_35]),c_0_47]),c_0_108]),c_0_29]),c_0_22]),c_0_108]),c_0_47]) ).
cnf(c_0_118,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
goals_17 ).
cnf(c_0_119,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_120,plain,
join(meet(composition(X1,converse(X2)),X3),composition(meet(X1,composition(X3,X2)),converse(meet(X2,composition(converse(X3),X1))))) = composition(meet(X1,composition(X3,X2)),converse(meet(X2,composition(converse(X3),X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_17]),c_0_110]),c_0_110]) ).
cnf(c_0_121,plain,
meet(complement(X1),composition(X1,meet(one,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_31]) ).
cnf(c_0_122,plain,
meet(one,meet(X1,composition(X2,converse(complement(X2))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_123,plain,
composition(zero,X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_106]),c_0_17]) ).
cnf(c_0_124,negated_conjecture,
join(one,composition(converse(sk1),sk1)) = one,
inference(rw,[status(thm)],[c_0_118,c_0_22]) ).
cnf(c_0_125,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_119,c_0_56]),c_0_56]) ).
cnf(c_0_126,plain,
meet(X1,composition(meet(one,X2),complement(X1))) = 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(spm,[status(thm)],[c_0_120,c_0_121]),c_0_87]),c_0_17]),c_0_87]),c_0_104]),c_0_122]),c_0_106]),c_0_123]),c_0_55]),c_0_87]),c_0_104]),c_0_122]),c_0_106]),c_0_123]),c_0_56]) ).
cnf(c_0_127,negated_conjecture,
meet(one,composition(converse(sk1),sk1)) = composition(converse(sk1),sk1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_124]),c_0_56]) ).
cnf(c_0_128,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
composition_associativity_5 ).
cnf(c_0_129,plain,
join(meet(composition(converse(X1),X2),X3),meet(X3,composition(converse(X1),meet(X2,composition(X1,X3))))) = meet(X3,composition(converse(X1),meet(X2,composition(X1,X3)))),
inference(spm,[status(thm)],[c_0_125,c_0_17]) ).
cnf(c_0_130,negated_conjecture,
meet(X1,composition(converse(sk1),composition(sk1,complement(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_131,plain,
composition(X1,zero) = zero,
inference(spm,[status(thm)],[c_0_117,c_0_17]) ).
cnf(c_0_132,negated_conjecture,
meet(composition(sk1,sk2),composition(sk1,complement(sk2))) != zero,
goals_18 ).
cnf(c_0_133,negated_conjecture,
meet(composition(sk1,X1),composition(sk1,complement(X1))) = 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(spm,[status(thm)],[c_0_129,c_0_130]),c_0_17]),c_0_17]),c_0_131]),c_0_115]),c_0_55]),c_0_17]),c_0_131]),c_0_115]) ).
cnf(c_0_134,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL041-2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n013.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 15:07:14 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 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 --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.r7W10moOYq/E---3.1_19547.p
% 23.78/300.24 # Version: 3.1pre001
% 23.78/300.24 # Preprocessing class: FSMSSMSSSSSNFFN.
% 23.78/300.24 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.78/300.24 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.78/300.24 # Starting new_bool_3 with 300s (1) cores
% 23.78/300.24 # Starting new_bool_1 with 300s (1) cores
% 23.78/300.24 # Starting sh5l with 300s (1) cores
% 23.78/300.24 # new_bool_1 with pid 19792 completed with status 0
% 23.78/300.24 # Result found by new_bool_1
% 23.78/300.24 # Preprocessing class: FSMSSMSSSSSNFFN.
% 23.78/300.24 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.78/300.24 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.78/300.24 # Starting new_bool_3 with 300s (1) cores
% 23.78/300.24 # Starting new_bool_1 with 300s (1) cores
% 23.78/300.24 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 23.78/300.24 # Search class: FUUPM-FFMF21-DFFFFFNN
% 23.78/300.24 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 23.78/300.24 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 181s (1) cores
% 23.78/300.24 # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 19798 completed with status 0
% 23.78/300.24 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 23.78/300.24 # Preprocessing class: FSMSSMSSSSSNFFN.
% 23.78/300.24 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.78/300.24 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.78/300.24 # Starting new_bool_3 with 300s (1) cores
% 23.78/300.24 # Starting new_bool_1 with 300s (1) cores
% 23.78/300.24 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 23.78/300.24 # Search class: FUUPM-FFMF21-DFFFFFNN
% 23.78/300.24 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 23.78/300.24 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 181s (1) cores
% 23.78/300.24 # Preprocessing time : 0.001 s
% 23.78/300.24 # Presaturation interreduction done
% 23.78/300.24
% 23.78/300.24 # Proof found!
% 23.78/300.24 # SZS status Unsatisfiable
% 23.78/300.24 # SZS output start CNFRefutation
% See solution above
% 23.78/300.24 # Parsed axioms : 18
% 23.78/300.24 # Removed by relevancy pruning/SinE : 1
% 23.78/300.24 # Initial clauses : 17
% 23.78/300.24 # Removed in clause preprocessing : 0
% 23.78/300.24 # Initial clauses in saturation : 17
% 23.78/300.24 # Processed clauses : 10858
% 23.78/300.24 # ...of these trivial : 5094
% 23.78/300.24 # ...subsumed : 4652
% 23.78/300.24 # ...remaining for further processing : 1112
% 23.78/300.24 # Other redundant clauses eliminated : 0
% 23.78/300.24 # Clauses deleted for lack of memory : 0
% 23.78/300.24 # Backward-subsumed : 0
% 23.78/300.24 # Backward-rewritten : 167
% 23.78/300.24 # Generated clauses : 321197
% 23.78/300.24 # ...of the previous two non-redundant : 202312
% 23.78/300.24 # ...aggressively subsumed : 0
% 23.78/300.24 # Contextual simplify-reflections : 0
% 23.78/300.24 # Paramodulations : 321197
% 23.78/300.24 # Factorizations : 0
% 23.78/300.24 # NegExts : 0
% 23.78/300.24 # Equation resolutions : 0
% 23.78/300.24 # Total rewrite steps : 703407
% 23.78/300.24 # Propositional unsat checks : 0
% 23.78/300.24 # Propositional check models : 0
% 23.78/300.24 # Propositional check unsatisfiable : 0
% 23.78/300.24 # Propositional clauses : 0
% 23.78/300.24 # Propositional clauses after purity: 0
% 23.78/300.24 # Propositional unsat core size : 0
% 23.78/300.24 # Propositional preprocessing time : 0.000
% 23.78/300.24 # Propositional encoding time : 0.000
% 23.78/300.24 # Propositional solver time : 0.000
% 23.78/300.24 # Success case prop preproc time : 0.000
% 23.78/300.24 # Success case prop encoding time : 0.000
% 23.78/300.24 # Success case prop solver time : 0.000
% 23.78/300.24 # Current number of processed clauses : 928
% 23.78/300.24 # Positive orientable unit clauses : 914
% 23.78/300.24 # Positive unorientable unit clauses: 14
% 23.78/300.24 # Negative unit clauses : 0
% 23.78/300.24 # Non-unit-clauses : 0
% 23.78/300.24 # Current number of unprocessed clauses: 189900
% 23.78/300.24 # ...number of literals in the above : 189900
% 23.78/300.24 # Current number of archived formulas : 0
% 23.78/300.24 # Current number of archived clauses : 184
% 23.78/300.24 # Clause-clause subsumption calls (NU) : 0
% 23.78/300.24 # Rec. Clause-clause subsumption calls : 0
% 23.78/300.24 # Non-unit clause-clause subsumptions : 0
% 23.78/300.24 # Unit Clause-clause subsumption calls : 234
% 23.78/300.24 # Rewrite failures with RHS unbound : 0
% 23.78/300.24 # BW rewrite match attempts : 4698
% 23.78/300.24 # BW rewrite match successes : 780
% 23.78/300.24 # Condensation attempts : 0
% 23.78/300.24 # Condensation successes : 0
% 23.78/300.24 # Termbank termtop insertions : 6201594
% 23.78/300.24
% 23.78/300.24 # -------------------------------------------------
% 23.78/300.24 # User time : 2.795 s
% 23.78/300.24 # System time : 0.127 s
% 23.78/300.24 # Total time : 2.922 s
% 23.78/300.24 # Maximum resident set size: 1624 pages
% 23.78/300.24
% 23.78/300.24 # -------------------------------------------------
% 23.78/300.24 # User time : 2.796 s
% 23.78/300.24 # System time : 0.130 s
% 23.78/300.24 # Total time : 2.925 s
% 23.78/300.24 # Maximum resident set size: 1680 pages
% 23.78/300.24 % E---3.1 exiting
%------------------------------------------------------------------------------