TSTP Solution File: LAT193-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LAT193-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 18:10:02 EDT 2023

% Result   : Unsatisfiable 318.67s 41.71s
% Output   : CNFRefutation 318.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   13
% Syntax   : Number of clauses     :  183 ( 175 unt;   0 nHn;  14 RR)
%            Number of literals    :  194 ( 193 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  403 (  51 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
    meet(X1,join(X1,X2)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',absorption1) ).

cnf(complement_join,axiom,
    join(X1,complement(X1)) = one,
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',complement_join) ).

cnf(commutativity_of_meet,axiom,
    meet(X1,X2) = meet(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',commutativity_of_meet) ).

cnf(commutativity_of_join,axiom,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',commutativity_of_join) ).

cnf(associativity_of_meet,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',associativity_of_meet) ).

cnf(idempotence_of_meet,axiom,
    meet(X1,X1) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',idempotence_of_meet) ).

cnf(absorption2,axiom,
    join(X1,meet(X1,X2)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',absorption2) ).

cnf(equation_H24,axiom,
    join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2))))),
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',equation_H24) ).

cnf(complement_meet,axiom,
    meet(X1,complement(X1)) = zero,
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',complement_meet) ).

cnf(associativity_of_join,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',associativity_of_join) ).

cnf(meet_join_complement,axiom,
    ( complement(X1) = X2
    | meet(X1,X2) != zero
    | join(X1,X2) != one ),
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',meet_join_complement) ).

cnf(idempotence_of_join,axiom,
    join(X1,X1) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',idempotence_of_join) ).

cnf(prove_distributivity,negated_conjecture,
    meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
    file('/export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p',prove_distributivity) ).

cnf(c_0_13,axiom,
    meet(X1,join(X1,X2)) = X1,
    absorption1 ).

cnf(c_0_14,axiom,
    join(X1,complement(X1)) = one,
    complement_join ).

cnf(c_0_15,plain,
    meet(X1,one) = X1,
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,axiom,
    meet(X1,X2) = meet(X2,X1),
    commutativity_of_meet ).

cnf(c_0_17,axiom,
    join(X1,X2) = join(X2,X1),
    commutativity_of_join ).

cnf(c_0_18,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    associativity_of_meet ).

cnf(c_0_19,axiom,
    meet(X1,X1) = X1,
    idempotence_of_meet ).

cnf(c_0_20,axiom,
    join(X1,meet(X1,X2)) = X1,
    absorption2 ).

cnf(c_0_21,plain,
    meet(one,X1) = X1,
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,plain,
    meet(X1,join(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_13,c_0_17]) ).

cnf(c_0_23,axiom,
    join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2))))),
    equation_H24 ).

cnf(c_0_24,axiom,
    meet(X1,complement(X1)) = zero,
    complement_meet ).

cnf(c_0_25,plain,
    meet(X1,meet(X1,X2)) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,plain,
    join(X1,meet(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_20,c_0_16]) ).

cnf(c_0_27,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    associativity_of_join ).

cnf(c_0_28,plain,
    join(one,X1) = one,
    inference(spm,[status(thm)],[c_0_13,c_0_21]) ).

cnf(c_0_29,plain,
    meet(X1,meet(join(meet(X2,X1),meet(X1,X3)),join(meet(X2,X1),meet(X3,join(X2,X1))))) = meet(X1,join(meet(X2,X1),meet(X3,join(X2,X1)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18]),c_0_16]) ).

cnf(c_0_30,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_20,c_0_24]) ).

cnf(c_0_31,plain,
    meet(X1,meet(X2,X1)) = meet(X2,X1),
    inference(spm,[status(thm)],[c_0_25,c_0_16]) ).

cnf(c_0_32,plain,
    join(X1,join(X2,X1)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_13]),c_0_27]) ).

cnf(c_0_33,plain,
    join(X1,join(complement(X1),X2)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_14]),c_0_28]) ).

cnf(c_0_34,plain,
    join(X1,one) = one,
    inference(spm,[status(thm)],[c_0_28,c_0_17]) ).

cnf(c_0_35,plain,
    meet(X1,join(meet(X2,X1),meet(complement(X1),join(X2,X1)))) = meet(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_24]),c_0_30]),c_0_13]),c_0_31]) ).

cnf(c_0_36,plain,
    join(complement(X1),join(X2,X1)) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_27]) ).

cnf(c_0_37,plain,
    meet(X1,join(meet(X2,X1),meet(complement(X1),join(X1,X2)))) = meet(X2,X1),
    inference(spm,[status(thm)],[c_0_35,c_0_17]) ).

cnf(c_0_38,plain,
    join(X1,complement(meet(X2,X1))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_17]) ).

cnf(c_0_39,plain,
    join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_20,c_0_18]) ).

cnf(c_0_40,plain,
    meet(X1,join(complement(X1),meet(X1,complement(meet(X2,X1))))) = meet(X1,complement(meet(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_16]),c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_41,plain,
    meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
    inference(spm,[status(thm)],[c_0_18,c_0_13]) ).

cnf(c_0_42,plain,
    join(meet(X1,X2),meet(X2,meet(X3,X1))) = meet(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_16]),c_0_18]) ).

cnf(c_0_43,plain,
    meet(join(X1,X2),join(complement(join(X1,X2)),meet(complement(X1),join(X1,X2)))) = meet(complement(X1),join(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_13]),c_0_16]),c_0_16]) ).

cnf(c_0_44,plain,
    meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_41,c_0_16]) ).

cnf(c_0_45,plain,
    meet(X1,join(meet(X2,X1),meet(X3,X2))) = meet(X2,X1),
    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_29,c_0_42]),c_0_18]),c_0_13]),c_0_13]),c_0_31]),c_0_18]),c_0_13]) ).

cnf(c_0_46,plain,
    meet(X1,zero) = zero,
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

cnf(c_0_47,plain,
    meet(X1,join(complement(join(X1,X2)),meet(complement(X1),join(X1,X2)))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_43]),c_0_44]),c_0_24]) ).

cnf(c_0_48,plain,
    meet(X1,join(X2,meet(join(X2,X3),X1))) = meet(join(X2,X3),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_13]),c_0_17]) ).

cnf(c_0_49,plain,
    join(X1,meet(X2,meet(X3,X1))) = X1,
    inference(spm,[status(thm)],[c_0_26,c_0_18]) ).

cnf(c_0_50,plain,
    meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_22,c_0_32]) ).

cnf(c_0_51,plain,
    meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_13,c_0_18]) ).

cnf(c_0_52,plain,
    meet(X1,meet(X2,complement(meet(X1,X2)))) = zero,
    inference(spm,[status(thm)],[c_0_24,c_0_18]) ).

cnf(c_0_53,plain,
    meet(zero,X1) = zero,
    inference(spm,[status(thm)],[c_0_46,c_0_16]) ).

cnf(c_0_54,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_30,c_0_17]) ).

cnf(c_0_55,axiom,
    ( complement(X1) = X2
    | meet(X1,X2) != zero
    | join(X1,X2) != one ),
    meet_join_complement ).

cnf(c_0_56,plain,
    meet(X1,join(meet(complement(X1),join(X1,X2)),complement(join(X1,meet(complement(X1),join(X1,X2)))))) = zero,
    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_16]),c_0_17]) ).

cnf(c_0_57,plain,
    join(X1,join(X2,complement(join(X1,X2)))) = one,
    inference(spm,[status(thm)],[c_0_14,c_0_27]) ).

cnf(c_0_58,plain,
    join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_27]) ).

cnf(c_0_59,plain,
    join(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) = meet(X2,join(meet(X1,X2),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_51]),c_0_17]) ).

cnf(c_0_60,plain,
    meet(X1,meet(X2,complement(meet(X2,X1)))) = zero,
    inference(spm,[status(thm)],[c_0_52,c_0_16]) ).

cnf(c_0_61,plain,
    meet(X1,meet(complement(X1),X2)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_24]),c_0_53]) ).

cnf(c_0_62,plain,
    complement(zero) = one,
    inference(spm,[status(thm)],[c_0_14,c_0_54]) ).

cnf(c_0_63,plain,
    join(meet(complement(X1),join(X1,X2)),complement(join(X1,meet(complement(X1),join(X1,X2))))) = complement(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).

cnf(c_0_64,plain,
    join(X1,meet(X2,join(meet(X3,X2),X1))) = join(X1,meet(X3,X2)),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_65,plain,
    meet(complement(X1),meet(X2,X1)) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_15]),c_0_18]) ).

cnf(c_0_66,plain,
    join(complement(X1),complement(join(X1,meet(complement(X1),join(X1,X2))))) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_63]),c_0_17]),c_0_63]),c_0_17]) ).

cnf(c_0_67,plain,
    join(X1,meet(X2,join(X1,meet(X3,X2)))) = join(X1,meet(X3,X2)),
    inference(spm,[status(thm)],[c_0_64,c_0_17]) ).

cnf(c_0_68,plain,
    ( complement(X1) = X2
    | meet(X2,X1) != zero
    | join(X1,X2) != one ),
    inference(spm,[status(thm)],[c_0_55,c_0_16]) ).

cnf(c_0_69,plain,
    meet(X1,complement(join(X2,X1))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_22]),c_0_16]) ).

cnf(c_0_70,plain,
    join(complement(X1),complement(join(X1,meet(X2,complement(X1))))) = complement(X1),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_71,plain,
    complement(complement(X1)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_24]),c_0_17]),c_0_14])]) ).

cnf(c_0_72,plain,
    meet(X1,complement(join(X2,join(X3,X1)))) = zero,
    inference(spm,[status(thm)],[c_0_69,c_0_27]) ).

cnf(c_0_73,plain,
    join(X1,join(X2,join(X3,X1))) = join(X1,join(X2,X3)),
    inference(spm,[status(thm)],[c_0_32,c_0_27]) ).

cnf(c_0_74,plain,
    join(X1,complement(join(complement(X1),meet(X2,X1)))) = X1,
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_75,plain,
    join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_20,c_0_27]) ).

cnf(c_0_76,plain,
    meet(join(X1,X2),complement(join(X2,join(X3,X1)))) = zero,
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_77,plain,
    join(X1,join(X2,complement(join(X1,complement(join(X1,X2)))))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_13]),c_0_17]),c_0_27]) ).

cnf(c_0_78,plain,
    meet(join(X1,X2),join(X2,meet(join(X1,X2),X3))) = join(X2,meet(join(X1,X2),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_75]),c_0_16]) ).

cnf(c_0_79,plain,
    meet(complement(join(X1,X2)),join(X1,complement(join(X1,complement(join(X1,X2)))))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_17]),c_0_16]) ).

cnf(c_0_80,plain,
    join(X1,join(X2,complement(join(X2,X1)))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_17]),c_0_27]) ).

cnf(c_0_81,plain,
    meet(join(X1,X2),join(X2,meet(complement(X1),join(X1,X2)))) = join(X2,meet(complement(X1),join(X1,X2))),
    inference(spm,[status(thm)],[c_0_78,c_0_43]) ).

cnf(c_0_82,plain,
    join(meet(X1,X2),meet(X1,join(meet(X1,X2),meet(X3,join(X2,X1))))) = join(meet(X1,X2),meet(X1,X3)),
    inference(spm,[status(thm)],[c_0_23,c_0_16]) ).

cnf(c_0_83,plain,
    join(X1,complement(meet(X1,X2))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_20]),c_0_17]) ).

cnf(c_0_84,plain,
    join(X1,complement(join(X1,complement(join(X1,X2))))) = join(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_79]),c_0_71]),c_0_80])]) ).

cnf(c_0_85,plain,
    join(X1,join(X2,complement(join(X1,complement(join(X2,X1)))))) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_77,c_0_17]) ).

cnf(c_0_86,plain,
    meet(complement(X1),complement(join(X1,meet(X2,complement(X1))))) = complement(join(X1,meet(X2,complement(X1)))),
    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_81,c_0_70]),c_0_71]),c_0_24]),c_0_30]),c_0_71]),c_0_24]),c_0_30]) ).

cnf(c_0_87,plain,
    join(meet(X1,complement(meet(X1,X2))),meet(complement(meet(X1,X2)),X3)) = meet(complement(meet(X1,X2)),join(meet(X1,complement(meet(X1,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_82,c_0_83]),c_0_16]),c_0_16]),c_0_15]),c_0_16]),c_0_59]) ).

cnf(c_0_88,plain,
    join(X1,complement(join(X1,complement(join(X2,X1))))) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_89,plain,
    join(meet(X1,X2),meet(X2,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_39,c_0_19]),c_0_18]),c_0_31]),c_0_18]),c_0_31]) ).

cnf(c_0_90,plain,
    meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_16]) ).

cnf(c_0_91,plain,
    meet(X1,meet(X2,complement(meet(X1,complement(meet(X1,X2)))))) = meet(X1,X2),
    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_86,c_0_87]),c_0_14]),c_0_15]),c_0_71]),c_0_14]),c_0_15]),c_0_71]),c_0_16]),c_0_18]) ).

cnf(c_0_92,plain,
    join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_27,c_0_26]) ).

cnf(c_0_93,plain,
    join(meet(X1,X2),complement(join(complement(X1),meet(X1,X2)))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_20]),c_0_17]) ).

cnf(c_0_94,plain,
    join(meet(X1,X2),join(meet(X2,X1),X3)) = join(meet(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_27,c_0_89]) ).

cnf(c_0_95,plain,
    meet(X1,meet(X2,complement(meet(X2,complement(meet(X2,X1)))))) = meet(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_16]) ).

cnf(c_0_96,plain,
    join(X1,complement(join(complement(X2),meet(X2,X1)))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_97,plain,
    join(X1,complement(meet(X2,meet(X3,X1)))) = one,
    inference(spm,[status(thm)],[c_0_38,c_0_18]) ).

cnf(c_0_98,plain,
    join(meet(X1,X2),complement(join(complement(X2),meet(X2,X1)))) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_93]),c_0_17]),c_0_26]) ).

cnf(c_0_99,plain,
    meet(X1,complement(meet(complement(X1),join(X1,X2)))) = 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_41,c_0_95]),c_0_16]),c_0_13]),c_0_16]),c_0_13]),c_0_16]) ).

cnf(c_0_100,plain,
    join(X1,complement(join(X2,meet(complement(X2),X1)))) = join(X1,complement(X2)),
    inference(spm,[status(thm)],[c_0_96,c_0_71]) ).

cnf(c_0_101,plain,
    join(X1,join(X2,complement(meet(X3,join(X2,X1))))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_50]),c_0_27]) ).

cnf(c_0_102,plain,
    join(X1,complement(meet(complement(X1),join(X1,X2)))) = complement(meet(complement(X1),join(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_71]),c_0_100]) ).

cnf(c_0_103,plain,
    join(X1,complement(meet(complement(X2),join(X2,X1)))) = one,
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_104,plain,
    ( meet(X1,X2) = X2
    | join(complement(X2),meet(X1,X2)) != one ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_65]),c_0_71]) ).

cnf(c_0_105,plain,
    join(X1,complement(meet(complement(X2),join(X1,X2)))) = one,
    inference(spm,[status(thm)],[c_0_103,c_0_17]) ).

cnf(c_0_106,plain,
    meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_92]),c_0_16]) ).

cnf(c_0_107,plain,
    join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_41]),c_0_17]) ).

cnf(c_0_108,plain,
    ( meet(X1,join(meet(X2,X1),X3)) = meet(X2,X1)
    | join(meet(X2,X1),complement(meet(X1,join(meet(X2,X1),X3)))) != one ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_51]),c_0_17]) ).

cnf(c_0_109,plain,
    join(X1,complement(meet(X2,join(X1,complement(X2))))) = one,
    inference(spm,[status(thm)],[c_0_105,c_0_71]) ).

cnf(c_0_110,plain,
    meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X2,X1),meet(X1,X3)),
    inference(spm,[status(thm)],[c_0_106,c_0_20]) ).

cnf(c_0_111,plain,
    join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_27,c_0_26]) ).

cnf(c_0_112,plain,
    join(X1,meet(join(X1,X2),join(X3,X1))) = meet(join(X1,X2),join(X3,X1)),
    inference(spm,[status(thm)],[c_0_107,c_0_22]) ).

cnf(c_0_113,plain,
    meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
    inference(spm,[status(thm)],[c_0_18,c_0_22]) ).

cnf(c_0_114,plain,
    meet(X1,join(complement(X1),meet(X2,X1))) = meet(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_17]) ).

cnf(c_0_115,axiom,
    join(X1,X1) = X1,
    idempotence_of_join ).

cnf(c_0_116,plain,
    meet(X1,join(meet(X1,X2),meet(X2,X3))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_110]) ).

cnf(c_0_117,plain,
    join(X1,meet(join(X2,X3),join(X1,X2))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_118,plain,
    meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_113,c_0_16]) ).

cnf(c_0_119,plain,
    join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_32]),c_0_27]),c_0_27]) ).

cnf(c_0_120,plain,
    join(X1,meet(X2,join(meet(X2,X1),meet(X3,join(X1,X2))))) = join(X1,meet(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_82]),c_0_92]) ).

cnf(c_0_121,plain,
    join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(meet(X1,X2),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)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_114]),c_0_27]),c_0_17]),c_0_26]),c_0_17]),c_0_14]),c_0_15]),c_0_59]) ).

cnf(c_0_122,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_27,c_0_115]) ).

cnf(c_0_123,plain,
    meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)),
    inference(spm,[status(thm)],[c_0_106,c_0_26]) ).

cnf(c_0_124,plain,
    meet(X1,join(X2,meet(X1,join(X2,X3)))) = meet(X1,join(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_17]) ).

cnf(c_0_125,plain,
    meet(X1,join(complement(join(X2,X1)),meet(complement(X2),join(X2,X1)))) = meet(X1,complement(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_43]),c_0_118]) ).

cnf(c_0_126,plain,
    join(meet(X1,X2),join(X3,meet(X2,X1))) = join(meet(X1,X2),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_89]),c_0_32]) ).

cnf(c_0_127,plain,
    join(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X2,join(X3,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_118]),c_0_17]) ).

cnf(c_0_128,plain,
    join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),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)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_31]),c_0_17]),c_0_26]),c_0_122]),c_0_123]),c_0_121]) ).

cnf(c_0_129,plain,
    meet(X1,join(meet(X1,complement(X2)),complement(join(X2,X1)))) = meet(X1,complement(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_17]) ).

cnf(c_0_130,plain,
    meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(meet(X3,X1),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_121]),c_0_127]),c_0_128]) ).

cnf(c_0_131,plain,
    meet(X1,join(meet(complement(X2),X1),complement(join(X2,X1)))) = meet(complement(X2),X1),
    inference(spm,[status(thm)],[c_0_129,c_0_16]) ).

cnf(c_0_132,plain,
    complement(one) = zero,
    inference(spm,[status(thm)],[c_0_24,c_0_21]) ).

cnf(c_0_133,plain,
    meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,meet(X3,X1))),
    inference(spm,[status(thm)],[c_0_130,c_0_17]) ).

cnf(c_0_134,plain,
    join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_27,c_0_20]) ).

cnf(c_0_135,plain,
    meet(complement(X1),complement(meet(X1,join(complement(X1),X2)))) = complement(X1),
    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_131,c_0_99]),c_0_71]),c_0_71]),c_0_83]),c_0_132]),c_0_30]),c_0_16]) ).

cnf(c_0_136,plain,
    meet(X1,join(X2,meet(X1,complement(meet(X2,X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_14]),c_0_15]),c_0_16]) ).

cnf(c_0_137,plain,
    join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_32]),c_0_134]) ).

cnf(c_0_138,plain,
    meet(complement(X1),complement(meet(X2,X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_135,c_0_114]) ).

cnf(c_0_139,plain,
    ( meet(X1,complement(meet(X2,X1))) = complement(X2)
    | join(X2,meet(X1,complement(meet(X2,X1)))) != one ),
    inference(spm,[status(thm)],[c_0_55,c_0_52]) ).

cnf(c_0_140,plain,
    join(X1,meet(X2,complement(meet(X1,X2)))) = join(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_136]),c_0_96]),c_0_137]) ).

cnf(c_0_141,plain,
    meet(X1,meet(X2,complement(join(X3,meet(X1,X2))))) = zero,
    inference(spm,[status(thm)],[c_0_18,c_0_69]) ).

cnf(c_0_142,plain,
    meet(X1,complement(join(complement(X1),meet(X2,X1)))) = complement(join(complement(X1),meet(X2,X1))),
    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_81,c_0_74]),c_0_16]),c_0_24]),c_0_30]),c_0_16]),c_0_24]),c_0_30]) ).

cnf(c_0_143,plain,
    meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_13]),c_0_17]) ).

cnf(c_0_144,plain,
    meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_114,c_0_16]) ).

cnf(c_0_145,plain,
    meet(complement(X1),complement(join(X1,X2))) = complement(join(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_13]),c_0_16]) ).

cnf(c_0_146,plain,
    ( meet(X1,complement(meet(X2,X1))) = complement(X2)
    | join(X1,X2) != one ),
    inference(rw,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_147,plain,
    join(X1,complement(join(complement(X2),meet(X1,X2)))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_96,c_0_16]) ).

cnf(c_0_148,plain,
    meet(X1,complement(join(complement(X2),meet(X1,X2)))) = zero,
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_149,plain,
    meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_113,c_0_143]) ).

cnf(c_0_150,plain,
    meet(complement(X1),join(X1,complement(join(X1,X2)))) = complement(join(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_71]) ).

cnf(c_0_151,plain,
    ( join(complement(X1),meet(X2,X1)) = X2
    | join(X2,X1) != one ),
    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_146,c_0_147]),c_0_16]),c_0_148]),c_0_62]),c_0_15]),c_0_71]) ).

cnf(c_0_152,plain,
    meet(X1,join(X2,complement(join(X1,X2)))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_149,c_0_17]) ).

cnf(c_0_153,plain,
    complement(join(X1,complement(join(X2,X1)))) = meet(complement(X1),join(X2,X1)),
    inference(spm,[status(thm)],[c_0_150,c_0_88]) ).

cnf(c_0_154,plain,
    meet(X1,complement(meet(X2,complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_138,c_0_71]) ).

cnf(c_0_155,plain,
    join(meet(X1,X2),meet(complement(X2),join(X1,X2))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_57]),c_0_152]),c_0_153]),c_0_17]) ).

cnf(c_0_156,plain,
    meet(X1,join(meet(X2,join(X1,X3)),X4)) = meet(X1,join(X2,meet(X4,join(X1,X3)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_133]),c_0_41]) ).

cnf(c_0_157,plain,
    complement(join(X1,complement(join(X1,X2)))) = meet(complement(X1),join(X1,X2)),
    inference(spm,[status(thm)],[c_0_150,c_0_84]) ).

cnf(c_0_158,plain,
    meet(X1,complement(meet(complement(X1),X2))) = X1,
    inference(spm,[status(thm)],[c_0_154,c_0_16]) ).

cnf(c_0_159,plain,
    meet(X1,join(complement(X2),meet(X1,X2))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_155]),c_0_156]),c_0_18]),c_0_22]) ).

cnf(c_0_160,plain,
    complement(meet(complement(X1),join(X1,X2))) = join(X1,complement(join(X1,X2))),
    inference(spm,[status(thm)],[c_0_71,c_0_157]) ).

cnf(c_0_161,plain,
    join(complement(X1),complement(meet(X1,X2))) = complement(meet(X1,X2)),
    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_100,c_0_158]),c_0_71]),c_0_14]),c_0_132]),c_0_30]),c_0_71]),c_0_17]) ).

cnf(c_0_162,plain,
    join(complement(X1),meet(X2,X1)) = join(complement(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_159]),c_0_27]),c_0_17]),c_0_20]) ).

cnf(c_0_163,plain,
    complement(meet(X1,complement(meet(X1,X2)))) = join(complement(X1),meet(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_71]),c_0_71]) ).

cnf(c_0_164,plain,
    meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_155]),c_0_18]),c_0_16]),c_0_13]) ).

cnf(c_0_165,plain,
    join(X1,meet(X2,join(X3,X1))) = meet(join(X3,X1),join(X1,X2)),
    inference(spm,[status(thm)],[c_0_128,c_0_22]) ).

cnf(c_0_166,plain,
    join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
    inference(spm,[status(thm)],[c_0_27,c_0_17]) ).

cnf(c_0_167,plain,
    join(complement(X1),meet(X1,X2)) = join(complement(X1),X2),
    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_162,c_0_60]),c_0_30]),c_0_163]),c_0_163]),c_0_27]),c_0_17]),c_0_26]) ).

cnf(c_0_168,plain,
    meet(complement(X1),meet(join(X2,X1),X3)) = meet(complement(X1),meet(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_164]),c_0_18]) ).

cnf(c_0_169,plain,
    join(X1,meet(complement(X1),X2)) = join(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_164]),c_0_14]),c_0_15]) ).

cnf(c_0_170,plain,
    join(X1,meet(join(X2,X1),X3)) = meet(join(X2,X1),join(X1,X3)),
    inference(spm,[status(thm)],[c_0_121,c_0_22]) ).

cnf(c_0_171,plain,
    join(meet(X1,X2),X3) = join(X3,meet(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_89]),c_0_126]) ).

cnf(c_0_172,plain,
    meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_18,c_0_22]) ).

cnf(c_0_173,plain,
    meet(join(X1,X2),join(X2,X3)) = join(meet(X1,X3),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_71]),c_0_169]),c_0_71]),c_0_170]) ).

cnf(c_0_174,plain,
    join(complement(X1),complement(meet(X2,X1))) = complement(meet(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_121]),c_0_14]),c_0_15]),c_0_17]) ).

cnf(c_0_175,negated_conjecture,
    meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
    prove_distributivity ).

cnf(c_0_176,plain,
    join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X3,X1),X2)),
    inference(spm,[status(thm)],[c_0_171,c_0_121]) ).

cnf(c_0_177,plain,
    meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_44]),c_0_133]) ).

cnf(c_0_178,plain,
    meet(X1,meet(X2,complement(meet(X1,complement(meet(X2,X1)))))) = meet(X2,X1),
    inference(spm,[status(thm)],[c_0_91,c_0_16]) ).

cnf(c_0_179,plain,
    complement(meet(X1,complement(meet(X2,X1)))) = join(complement(X1),meet(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_174]),c_0_71]),c_0_71]) ).

cnf(c_0_180,negated_conjecture,
    meet(a,join(b,meet(a,c))) != meet(a,join(b,c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176]),c_0_16]),c_0_17]) ).

cnf(c_0_181,plain,
    meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_18]),c_0_179]),c_0_162]),c_0_113]),c_0_18]),c_0_179]),c_0_162]),c_0_113]) ).

cnf(c_0_182,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : LAT193-1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 10:40:34 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.lQxyUL20Kr/E---3.1_23134.p
% 318.67/41.71  # Version: 3.1pre001
% 318.67/41.71  # Preprocessing class: FSSSSMSSSSSNFFN.
% 318.67/41.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 318.67/41.71  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 318.67/41.71  # Starting new_bool_3 with 300s (1) cores
% 318.67/41.71  # Starting new_bool_1 with 300s (1) cores
% 318.67/41.71  # Starting sh5l with 300s (1) cores
% 318.67/41.71  # sh5l with pid 23214 completed with status 0
% 318.67/41.71  # Result found by sh5l
% 318.67/41.71  # Preprocessing class: FSSSSMSSSSSNFFN.
% 318.67/41.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 318.67/41.71  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 318.67/41.71  # Starting new_bool_3 with 300s (1) cores
% 318.67/41.71  # Starting new_bool_1 with 300s (1) cores
% 318.67/41.71  # Starting sh5l with 300s (1) cores
% 318.67/41.71  # SinE strategy is gf500_gu_R04_F100_L20000
% 318.67/41.71  # Search class: FHUPM-FFSF21-MFFFFFNN
% 318.67/41.71  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 318.67/41.71  # Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 163s (1) cores
% 318.67/41.71  # G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with pid 23220 completed with status 0
% 318.67/41.71  # Result found by G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S
% 318.67/41.71  # Preprocessing class: FSSSSMSSSSSNFFN.
% 318.67/41.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 318.67/41.71  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 318.67/41.71  # Starting new_bool_3 with 300s (1) cores
% 318.67/41.71  # Starting new_bool_1 with 300s (1) cores
% 318.67/41.71  # Starting sh5l with 300s (1) cores
% 318.67/41.71  # SinE strategy is gf500_gu_R04_F100_L20000
% 318.67/41.71  # Search class: FHUPM-FFSF21-MFFFFFNN
% 318.67/41.71  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 318.67/41.71  # Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 163s (1) cores
% 318.67/41.71  # Preprocessing time       : 0.001 s
% 318.67/41.71  # Presaturation interreduction done
% 318.67/41.71  
% 318.67/41.71  # Proof found!
% 318.67/41.71  # SZS status Unsatisfiable
% 318.67/41.71  # SZS output start CNFRefutation
% See solution above
% 318.67/41.71  # Parsed axioms                        : 13
% 318.67/41.71  # Removed by relevancy pruning/SinE    : 0
% 318.67/41.71  # Initial clauses                      : 13
% 318.67/41.71  # Removed in clause preprocessing      : 0
% 318.67/41.71  # Initial clauses in saturation        : 13
% 318.67/41.71  # Processed clauses                    : 41180
% 318.67/41.71  # ...of these trivial                  : 13229
% 318.67/41.71  # ...subsumed                          : 26303
% 318.67/41.71  # ...remaining for further processing  : 1648
% 318.67/41.71  # Other redundant clauses eliminated   : 0
% 318.67/41.71  # Clauses deleted for lack of memory   : 0
% 318.67/41.71  # Backward-subsumed                    : 8
% 318.67/41.71  # Backward-rewritten                   : 1012
% 318.67/41.71  # Generated clauses                    : 1832647
% 318.67/41.71  # ...of the previous two non-redundant : 1172409
% 318.67/41.71  # ...aggressively subsumed             : 0
% 318.67/41.71  # Contextual simplify-reflections      : 0
% 318.67/41.71  # Paramodulations                      : 1832585
% 318.67/41.71  # Factorizations                       : 0
% 318.67/41.71  # NegExts                              : 0
% 318.67/41.71  # Equation resolutions                 : 62
% 318.67/41.71  # Total rewrite steps                  : 8768638
% 318.67/41.71  # Propositional unsat checks           : 0
% 318.67/41.71  #    Propositional check models        : 0
% 318.67/41.71  #    Propositional check unsatisfiable : 0
% 318.67/41.71  #    Propositional clauses             : 0
% 318.67/41.71  #    Propositional clauses after purity: 0
% 318.67/41.71  #    Propositional unsat core size     : 0
% 318.67/41.71  #    Propositional preprocessing time  : 0.000
% 318.67/41.71  #    Propositional encoding time       : 0.000
% 318.67/41.71  #    Propositional solver time         : 0.000
% 318.67/41.71  #    Success case prop preproc time    : 0.000
% 318.67/41.71  #    Success case prop encoding time   : 0.000
% 318.67/41.71  #    Success case prop solver time     : 0.000
% 318.67/41.71  # Current number of processed clauses  : 615
% 318.67/41.71  #    Positive orientable unit clauses  : 455
% 318.67/41.71  #    Positive unorientable unit clauses: 12
% 318.67/41.71  #    Negative unit clauses             : 0
% 318.67/41.71  #    Non-unit-clauses                  : 148
% 318.67/41.71  # Current number of unprocessed clauses: 1127990
% 318.67/41.71  # ...number of literals in the above   : 1260846
% 318.67/41.71  # Current number of archived formulas  : 0
% 318.67/41.71  # Current number of archived clauses   : 1033
% 318.67/41.71  # Clause-clause subsumption calls (NU) : 46732
% 318.67/41.71  # Rec. Clause-clause subsumption calls : 46474
% 318.67/41.71  # Non-unit clause-clause subsumptions  : 13050
% 318.67/41.71  # Unit Clause-clause subsumption calls : 1921
% 318.67/41.71  # Rewrite failures with RHS unbound    : 0
% 318.67/41.71  # BW rewrite match attempts            : 36008
% 318.67/41.71  # BW rewrite match successes           : 1851
% 318.67/41.71  # Condensation attempts                : 0
% 318.67/41.71  # Condensation successes               : 0
% 318.67/41.71  # Termbank termtop insertions          : 59062627
% 318.67/41.71  
% 318.67/41.71  # -------------------------------------------------
% 318.67/41.71  # User time                : 38.750 s
% 318.67/41.71  # System time              : 1.198 s
% 318.67/41.71  # Total time               : 39.948 s
% 318.67/41.71  # Maximum resident set size: 1668 pages
% 318.67/41.71  
% 318.67/41.71  # -------------------------------------------------
% 318.67/41.71  # User time                : 38.753 s
% 318.67/41.71  # System time              : 1.198 s
% 318.67/41.71  # Total time               : 39.951 s
% 318.67/41.71  # Maximum resident set size: 1676 pages
% 318.67/41.71  % E---3.1 exiting
%------------------------------------------------------------------------------