TSTP Solution File: REL030+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : REL030+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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 : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 19:19:43 EDT 2022

% Result   : Theorem 1.97s 246.12s
% Output   : CNFRefutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  170 ( 167 unt;   0 def)
%            Number of atoms       :  173 ( 172 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  298 (  15 sgn  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(converse_multiplicativity,axiom,
    ! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).

fof(composition_identity,axiom,
    ! [X1] : composition(X1,one) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).

fof(converse_idempotence,axiom,
    ! [X1] : converse(converse(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).

fof(converse_cancellativity,axiom,
    ! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).

fof(maddux1_join_commutativity,axiom,
    ! [X1,X2] : join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).

fof(maddux2_join_associativity,axiom,
    ! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).

fof(maddux3_a_kind_of_de_Morgan,axiom,
    ! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).

fof(goals,conjecture,
    ! [X1,X2,X3] :
      ( join(X1,one) = one
     => meet(composition(X1,X2),complement(X3)) = meet(composition(X1,X2),complement(composition(X1,X3))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).

fof(composition_distributivity,axiom,
    ! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).

fof(converse_additivity,axiom,
    ! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).

fof(dedekind_law,axiom,
    ! [X1,X2,X3] : 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/sandbox2/benchmark/Axioms/REL001+1.ax',dedekind_law) ).

fof(maddux4_definiton_of_meet,axiom,
    ! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).

fof(composition_associativity,axiom,
    ! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_associativity) ).

fof(c_0_13,plain,
    ! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
    inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).

fof(c_0_14,plain,
    ! [X2] : composition(X2,one) = X2,
    inference(variable_rename,[status(thm)],[composition_identity]) ).

cnf(c_0_15,plain,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    composition(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_17,plain,
    ! [X2] : converse(converse(X2)) = X2,
    inference(variable_rename,[status(thm)],[converse_idempotence]) ).

cnf(c_0_18,plain,
    composition(converse(one),converse(X1)) = converse(X1),
    inference(pm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    converse(converse(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_20,plain,
    ! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
    inference(variable_rename,[status(thm)],[converse_cancellativity]) ).

fof(c_0_21,plain,
    ! [X3,X4] : join(X3,X4) = join(X4,X3),
    inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).

cnf(c_0_22,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_18,c_0_19]),c_0_19]) ).

cnf(c_0_23,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,plain,
    join(X1,X2) = join(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,plain,
    converse(one) = one,
    inference(pm,[status(thm)],[c_0_16,c_0_22]) ).

fof(c_0_26,plain,
    ! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
    inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).

cnf(c_0_27,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_22,c_0_25]) ).

fof(c_0_29,plain,
    ! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
    inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).

cnf(c_0_30,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_27,c_0_28]),c_0_25]),c_0_28]) ).

cnf(c_0_32,plain,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,plain,
    join(complement(X1),join(complement(X1),X2)) = join(complement(X1),X2),
    inference(pm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_32,c_0_24]) ).

cnf(c_0_35,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_33,c_0_34]),c_0_34]),c_0_24]) ).

cnf(c_0_36,plain,
    join(X1,complement(complement(X1))) = X1,
    inference(pm,[status(thm)],[c_0_35,c_0_35]) ).

cnf(c_0_37,plain,
    join(X1,join(complement(complement(X1)),X2)) = join(X1,X2),
    inference(pm,[status(thm)],[c_0_30,c_0_36]) ).

cnf(c_0_38,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(pm,[status(thm)],[c_0_35,c_0_24]) ).

cnf(c_0_39,plain,
    join(X1,complement(complement(complement(complement(X1))))) = X1,
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_37,c_0_36]),c_0_36]) ).

cnf(c_0_40,plain,
    complement(complement(complement(X1))) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_39]),c_0_24]),c_0_36]) ).

cnf(c_0_41,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_40]),c_0_40]),c_0_34]) ).

cnf(c_0_42,plain,
    join(complement(X1),complement(join(X1,X2))) = complement(X1),
    inference(pm,[status(thm)],[c_0_35,c_0_41]) ).

cnf(c_0_43,plain,
    join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
    inference(pm,[status(thm)],[c_0_24,c_0_30]) ).

cnf(c_0_44,plain,
    join(complement(X1),complement(join(X2,join(X1,X3)))) = complement(X1),
    inference(pm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_45,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( join(X1,one) = one
       => meet(composition(X1,X2),complement(X3)) = meet(composition(X1,X2),complement(composition(X1,X3))) ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_46,plain,
    join(complement(X1),join(X2,complement(join(X3,X1)))) = join(complement(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_44,c_0_34]),c_0_41]),c_0_30]),c_0_41]) ).

fof(c_0_47,negated_conjecture,
    ( join(esk1_0,one) = one
    & meet(composition(esk1_0,esk2_0),complement(esk3_0)) != meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).

cnf(c_0_48,plain,
    join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_34]),c_0_41]),c_0_41]) ).

fof(c_0_49,plain,
    ! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
    inference(variable_rename,[status(thm)],[composition_distributivity]) ).

cnf(c_0_50,negated_conjecture,
    join(esk1_0,one) = one,
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_51,plain,
    join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
    inference(pm,[status(thm)],[c_0_48,c_0_41]) ).

cnf(c_0_52,plain,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    join(one,esk1_0) = one,
    inference(rw,[status(thm)],[c_0_50,c_0_24]) ).

fof(c_0_54,plain,
    ! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
    inference(variable_rename,[status(thm)],[converse_additivity]) ).

cnf(c_0_55,plain,
    join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
    inference(pm,[status(thm)],[c_0_51,c_0_24]) ).

cnf(c_0_56,plain,
    join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_24]),c_0_30]) ).

cnf(c_0_57,negated_conjecture,
    join(X1,composition(esk1_0,X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_53]),c_0_28]),c_0_28]) ).

cnf(c_0_58,plain,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_59,plain,
    join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
    inference(pm,[status(thm)],[c_0_43,c_0_24]) ).

cnf(c_0_60,plain,
    join(X1,join(complement(X1),X2)) = join(X1,complement(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_42]),c_0_41]),c_0_41]),c_0_56]),c_0_24]) ).

cnf(c_0_61,negated_conjecture,
    join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
    inference(pm,[status(thm)],[c_0_30,c_0_57]) ).

cnf(c_0_62,plain,
    composition(converse(X1),join(converse(X2),converse(X3))) = join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_15,c_0_52]),c_0_58]),c_0_15]),c_0_15]),c_0_58]) ).

cnf(c_0_63,plain,
    join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_59,c_0_60]),c_0_24]) ).

cnf(c_0_64,negated_conjecture,
    join(X1,complement(complement(composition(esk1_0,X1)))) = X1,
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_61,c_0_36]),c_0_57]) ).

cnf(c_0_65,plain,
    composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_62,c_0_19]),c_0_19]),c_0_19]) ).

cnf(c_0_66,plain,
    join(X1,complement(X1)) = join(X2,complement(X2)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_60,c_0_63]),c_0_63]) ).

cnf(c_0_67,plain,
    join(X1,complement(join(X2,join(X3,X1)))) = join(X1,complement(join(X2,X3))),
    inference(pm,[status(thm)],[c_0_51,c_0_30]) ).

cnf(c_0_68,negated_conjecture,
    join(complement(X1),complement(composition(esk1_0,X1))) = complement(composition(esk1_0,X1)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_64]),c_0_24]) ).

cnf(c_0_69,plain,
    composition(X1,join(one,converse(X2))) = join(X1,composition(X1,converse(X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_65,c_0_25]),c_0_25]),c_0_16]) ).

cnf(c_0_70,plain,
    join(composition(X1,X2),composition(complement(X1),X2)) = join(composition(X3,X2),composition(complement(X3),X2)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_66]),c_0_52]) ).

cnf(c_0_71,negated_conjecture,
    join(one,join(esk1_0,X1)) = join(one,X1),
    inference(pm,[status(thm)],[c_0_30,c_0_53]) ).

cnf(c_0_72,negated_conjecture,
    join(complement(composition(esk1_0,X1)),complement(join(X2,complement(X1)))) = join(complement(composition(esk1_0,X1)),complement(X2)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_68]),c_0_51]) ).

cnf(c_0_73,plain,
    composition(X1,join(one,X2)) = join(X1,composition(X1,X2)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_69,c_0_19]),c_0_19]) ).

cnf(c_0_74,plain,
    join(X1,composition(complement(one),X1)) = join(composition(X2,X1),composition(complement(X2),X1)),
    inference(pm,[status(thm)],[c_0_70,c_0_28]) ).

cnf(c_0_75,plain,
    composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_65,c_0_19]),c_0_19]) ).

cnf(c_0_76,negated_conjecture,
    join(one,complement(complement(esk1_0))) = one,
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_36]),c_0_53]) ).

cnf(c_0_77,negated_conjecture,
    join(complement(composition(esk1_0,X1)),complement(join(complement(X1),X2))) = join(complement(composition(esk1_0,X1)),complement(X2)),
    inference(pm,[status(thm)],[c_0_72,c_0_24]) ).

cnf(c_0_78,negated_conjecture,
    join(X1,complement(join(X2,composition(esk1_0,X1)))) = join(X1,complement(X2)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_61,c_0_51]),c_0_61]) ).

cnf(c_0_79,plain,
    composition(X1,join(X2,complement(X2))) = join(X1,composition(X1,complement(one))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_73,c_0_74]),c_0_16]),c_0_16]),c_0_16]) ).

cnf(c_0_80,plain,
    composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_75,c_0_19]),c_0_19]) ).

cnf(c_0_81,negated_conjecture,
    join(X1,complement(composition(esk1_0,X1))) = join(X1,complement(X1)),
    inference(pm,[status(thm)],[c_0_55,c_0_57]) ).

cnf(c_0_82,negated_conjecture,
    join(complement(one),complement(esk1_0)) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_76]),c_0_24]) ).

cnf(c_0_83,plain,
    join(X1,join(X2,complement(X3))) = join(X2,join(complement(join(X3,X2)),X1)),
    inference(pm,[status(thm)],[c_0_43,c_0_51]) ).

cnf(c_0_84,negated_conjecture,
    join(complement(composition(esk1_0,X1)),join(X2,composition(esk1_0,complement(X1)))) = join(complement(composition(esk1_0,X1)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_77,c_0_78]),c_0_77]),c_0_41]),c_0_41]) ).

cnf(c_0_85,plain,
    join(composition(X1,X2),composition(X1,complement(X2))) = join(X1,composition(X1,complement(one))),
    inference(rw,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_86,negated_conjecture,
    join(composition(esk1_0,X1),complement(composition(esk1_0,X1))) = join(X1,complement(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_68]),c_0_41]),c_0_41]),c_0_24]),c_0_24]),c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    join(complement(one),join(X1,complement(esk1_0))) = join(X1,complement(esk1_0)),
    inference(pm,[status(thm)],[c_0_56,c_0_82]) ).

cnf(c_0_88,plain,
    join(X1,join(complement(join(X2,X1)),X3)) = join(complement(X2),join(X3,X1)),
    inference(pm,[status(thm)],[c_0_43,c_0_83]) ).

cnf(c_0_89,negated_conjecture,
    join(esk1_0,join(complement(composition(esk1_0,X1)),composition(esk1_0,complement(one)))) = join(X1,complement(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_84,c_0_85]),c_0_24]),c_0_86]),c_0_56]) ).

cnf(c_0_90,plain,
    join(X1,complement(join(X2,complement(X2)))) = X1,
    inference(pm,[status(thm)],[c_0_35,c_0_63]) ).

cnf(c_0_91,negated_conjecture,
    join(complement(esk1_0),composition(esk1_0,complement(one))) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_61,c_0_87]),c_0_82]),c_0_24]) ).

cnf(c_0_92,negated_conjecture,
    join(complement(esk1_0),complement(join(X1,complement(one)))) = join(complement(X1),complement(esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_87,c_0_88]),c_0_24]),c_0_82]),c_0_24]) ).

cnf(c_0_93,negated_conjecture,
    join(complement(esk1_0),complement(join(complement(one),X1))) = join(complement(esk1_0),complement(X1)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_87]),c_0_51]) ).

cnf(c_0_94,negated_conjecture,
    join(complement(composition(esk1_0,X1)),composition(esk1_0,complement(one))) = join(complement(esk1_0),complement(composition(esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_89]),c_0_30]),c_0_90]),c_0_30]),c_0_24]),c_0_91]),c_0_92]),c_0_24]),c_0_93]) ).

cnf(c_0_95,plain,
    join(complement(X1),join(X2,complement(X1))) = join(complement(X1),X2),
    inference(pm,[status(thm)],[c_0_33,c_0_24]) ).

cnf(c_0_96,negated_conjecture,
    join(complement(complement(esk1_0)),complement(join(esk1_0,complement(one)))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_82]),c_0_24]),c_0_24]) ).

cnf(c_0_97,negated_conjecture,
    join(one,join(complement(complement(esk1_0)),X1)) = join(X1,one),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_43,c_0_76]),c_0_43]) ).

cnf(c_0_98,negated_conjecture,
    join(complement(X1),join(X2,complement(composition(esk1_0,X1)))) = join(X2,complement(composition(esk1_0,X1))),
    inference(pm,[status(thm)],[c_0_56,c_0_68]) ).

cnf(c_0_99,negated_conjecture,
    join(complement(composition(esk1_0,X1)),complement(composition(esk1_0,complement(one)))) = join(esk1_0,complement(composition(esk1_0,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_94]),c_0_51]),c_0_41]),c_0_24]) ).

cnf(c_0_100,negated_conjecture,
    join(one,one) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_95,c_0_96]),c_0_24]),c_0_96]),c_0_97]),c_0_96]) ).

cnf(c_0_101,negated_conjecture,
    join(esk1_0,complement(composition(esk1_0,X1))) = join(one,complement(composition(esk1_0,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_98,c_0_99]),c_0_41]),c_0_71]),c_0_99]) ).

cnf(c_0_102,negated_conjecture,
    join(X1,X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_100]),c_0_28]),c_0_28]),c_0_28]) ).

cnf(c_0_103,negated_conjecture,
    join(complement(esk1_0),complement(composition(esk1_0,X1))) = join(complement(one),complement(composition(esk1_0,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_101]),c_0_51]),c_0_92]),c_0_24]),c_0_93]),c_0_24]) ).

cnf(c_0_104,negated_conjecture,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_56,c_0_102]),c_0_30]),c_0_102]) ).

cnf(c_0_105,negated_conjecture,
    join(complement(composition(esk1_0,X1)),composition(esk1_0,complement(one))) = join(complement(one),complement(composition(esk1_0,X1))),
    inference(rw,[status(thm)],[c_0_94,c_0_103]) ).

cnf(c_0_106,negated_conjecture,
    join(complement(X1),complement(join(esk1_0,composition(esk1_0,complement(one))))) = complement(composition(esk1_0,X1)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_78,c_0_85]),c_0_68]) ).

cnf(c_0_107,plain,
    join(complement(X1),join(X2,complement(join(X1,X3)))) = join(complement(X1),X2),
    inference(pm,[status(thm)],[c_0_46,c_0_24]) ).

cnf(c_0_108,plain,
    join(X1,join(complement(join(X2,X1)),X3)) = join(X1,join(complement(X2),X3)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_51]),c_0_30]) ).

cnf(c_0_109,negated_conjecture,
    join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)),
    inference(pm,[status(thm)],[c_0_104,c_0_56]) ).

cnf(c_0_110,negated_conjecture,
    join(one,converse(esk1_0)) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_58,c_0_53]),c_0_25]),c_0_25]) ).

cnf(c_0_111,plain,
    join(X1,join(X2,complement(join(complement(X1),X3)))) = join(X2,X1),
    inference(pm,[status(thm)],[c_0_56,c_0_35]) ).

cnf(c_0_112,negated_conjecture,
    join(complement(composition(esk1_0,X1)),join(composition(esk1_0,complement(one)),X2)) = join(complement(one),join(complement(composition(esk1_0,X1)),X2)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_105]),c_0_30]) ).

cnf(c_0_113,negated_conjecture,
    join(complement(one),complement(composition(esk1_0,X1))) = join(complement(esk1_0),complement(X1)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_103,c_0_106]),c_0_107]) ).

cnf(c_0_114,plain,
    join(X1,complement(join(complement(join(X2,X1)),X3))) = join(X1,complement(join(complement(X2),X3))),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_108]),c_0_55]) ).

cnf(c_0_115,negated_conjecture,
    join(X1,complement(join(X2,join(X1,X3)))) = join(X1,complement(join(X2,X3))),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_109]),c_0_55]) ).

cnf(c_0_116,negated_conjecture,
    join(X1,join(X2,join(X3,X1))) = join(X1,join(X2,X3)),
    inference(pm,[status(thm)],[c_0_104,c_0_43]) ).

cnf(c_0_117,negated_conjecture,
    join(X1,composition(converse(esk1_0),X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_110]),c_0_28]),c_0_28]) ).

fof(c_0_118,plain,
    ! [X4,X5,X6] : join(meet(composition(X4,X5),X6),composition(meet(X4,composition(X6,converse(X5))),meet(X5,composition(converse(X4),X6)))) = composition(meet(X4,composition(X6,converse(X5))),meet(X5,composition(converse(X4),X6))),
    inference(variable_rename,[status(thm)],[dedekind_law]) ).

fof(c_0_119,plain,
    ! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
    inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).

cnf(c_0_120,negated_conjecture,
    join(one,join(converse(esk1_0),X1)) = join(one,X1),
    inference(pm,[status(thm)],[c_0_30,c_0_110]) ).

fof(c_0_121,plain,
    ! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
    inference(variable_rename,[status(thm)],[composition_associativity]) ).

cnf(c_0_122,negated_conjecture,
    join(complement(composition(esk1_0,X1)),join(complement(join(X2,complement(X1))),X3)) = join(complement(composition(esk1_0,X1)),join(complement(X2),X3)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_72]),c_0_30]) ).

cnf(c_0_123,negated_conjecture,
    join(composition(esk1_0,complement(one)),complement(composition(esk1_0,X1))) = join(complement(esk1_0),complement(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_111,c_0_112]),c_0_41]),c_0_42]),c_0_113]) ).

cnf(c_0_124,negated_conjecture,
    complement(join(complement(X1),complement(join(esk1_0,composition(esk1_0,complement(one)))))) = composition(esk1_0,X1),
    inference(pm,[status(thm)],[c_0_41,c_0_106]) ).

cnf(c_0_125,negated_conjecture,
    join(complement(composition(esk1_0,X1)),complement(join(esk1_0,X2))) = join(complement(composition(esk1_0,X1)),complement(join(one,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_114,c_0_103]),c_0_114]),c_0_41]),c_0_41]) ).

cnf(c_0_126,negated_conjecture,
    join(complement(composition(esk1_0,X1)),complement(join(X2,composition(esk1_0,complement(one))))) = join(complement(composition(esk1_0,X1)),complement(join(X2,complement(one)))),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_115,c_0_105]),c_0_67]) ).

cnf(c_0_127,negated_conjecture,
    join(esk1_0,join(complement(composition(esk1_0,X1)),X2)) = join(one,join(complement(composition(esk1_0,X1)),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_116,c_0_101]),c_0_116]),c_0_43]),c_0_43]) ).

cnf(c_0_128,plain,
    join(complement(X1),complement(join(X2,complement(join(X3,X1))))) = join(complement(X1),complement(X2)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_46]),c_0_55]) ).

cnf(c_0_129,negated_conjecture,
    join(converse(X1),composition(converse(X1),esk1_0)) = converse(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_58,c_0_117]),c_0_15]),c_0_19]) ).

cnf(c_0_130,plain,
    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))),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_131,plain,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_132,plain,
    join(complement(X1),complement(join(X2,X1))) = complement(X1),
    inference(pm,[status(thm)],[c_0_38,c_0_41]) ).

cnf(c_0_133,negated_conjecture,
    join(one,composition(converse(esk1_0),esk1_0)) = one,
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_117]),c_0_53]) ).

cnf(c_0_134,negated_conjecture,
    join(one,composition(esk1_0,converse(esk1_0))) = one,
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_120,c_0_57]),c_0_110]) ).

cnf(c_0_135,plain,
    composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_136,negated_conjecture,
    join(complement(composition(esk1_0,X1)),join(complement(composition(esk1_0,complement(one))),X2)) = join(one,join(complement(composition(esk1_0,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_125]),c_0_126]),c_0_90]),c_0_41]),c_0_122]),c_0_41]),c_0_124]),c_0_125]),c_0_126]),c_0_90]),c_0_41]),c_0_56]),c_0_127]) ).

cnf(c_0_137,negated_conjecture,
    join(complement(composition(esk1_0,complement(one))),composition(esk1_0,X1)) = join(complement(composition(esk1_0,complement(one))),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_128,c_0_106]),c_0_41]),c_0_41]) ).

cnf(c_0_138,negated_conjecture,
    join(X1,composition(X1,esk1_0)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_129,c_0_19]),c_0_19]),c_0_19]) ).

cnf(c_0_139,plain,
    join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3)))))) = composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131]),c_0_131]),c_0_131]),c_0_131]),c_0_131]) ).

cnf(c_0_140,negated_conjecture,
    join(complement(one),complement(composition(converse(esk1_0),esk1_0))) = complement(composition(converse(esk1_0),esk1_0)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_132,c_0_133]),c_0_24]) ).

cnf(c_0_141,negated_conjecture,
    join(X1,composition(esk1_0,composition(converse(esk1_0),X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_134]),c_0_28]),c_0_28]),c_0_135]) ).

cnf(c_0_142,plain,
    join(X1,join(complement(join(X1,X2)),X3)) = join(X1,join(complement(X2),X3)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_55]),c_0_30]) ).

cnf(c_0_143,negated_conjecture,
    join(complement(composition(esk1_0,X1)),complement(join(X2,esk1_0))) = join(complement(composition(esk1_0,X1)),complement(join(X2,one))),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_101]),c_0_67]) ).

cnf(c_0_144,negated_conjecture,
    join(X1,join(X2,join(X3,join(X1,X4)))) = join(X1,join(X2,join(X3,X4))),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_109,c_0_109]),c_0_109]) ).

cnf(c_0_145,negated_conjecture,
    join(one,join(complement(composition(esk1_0,X1)),composition(esk1_0,X2))) = join(one,join(complement(composition(esk1_0,X1)),X2)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_136,c_0_137]),c_0_136]) ).

cnf(c_0_146,negated_conjecture,
    join(X1,composition(esk1_0,composition(X1,esk1_0))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_61,c_0_138]),c_0_57]),c_0_135]) ).

cnf(c_0_147,negated_conjecture,
    composition(esk1_0,composition(converse(esk1_0),esk1_0)) = esk1_0,
    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(pm,[status(thm)],[c_0_139,c_0_140]),c_0_16]),c_0_31]),c_0_41]),c_0_25]),c_0_16]),c_0_31]),c_0_41]),c_0_41]),c_0_141]),c_0_25]),c_0_16]),c_0_31]),c_0_41]),c_0_140]),c_0_41]) ).

cnf(c_0_148,negated_conjecture,
    join(complement(composition(esk1_0,X1)),join(X2,join(esk1_0,X3))) = join(complement(composition(esk1_0,X1)),join(X2,join(one,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_142,c_0_143]),c_0_142]),c_0_41]),c_0_30]),c_0_41]),c_0_30]) ).

cnf(c_0_149,negated_conjecture,
    join(X1,join(esk1_0,composition(esk1_0,complement(one)))) = join(X1,composition(esk1_0,complement(X1))),
    inference(pm,[status(thm)],[c_0_61,c_0_85]) ).

cnf(c_0_150,negated_conjecture,
    join(complement(composition(esk1_0,X1)),join(X2,join(one,composition(esk1_0,X3)))) = join(complement(composition(esk1_0,X1)),join(X2,join(one,X3))),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_144,c_0_145]),c_0_144]) ).

cnf(c_0_151,negated_conjecture,
    join(esk1_0,converse(esk1_0)) = converse(esk1_0),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_146,c_0_147]),c_0_24]) ).

cnf(c_0_152,negated_conjecture,
    join(complement(composition(esk1_0,X1)),join(X2,composition(esk1_0,complement(X2)))) = join(one,complement(one)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_148,c_0_149]),c_0_150]),c_0_63]),c_0_63]) ).

cnf(c_0_153,negated_conjecture,
    converse(esk1_0) = esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_58,c_0_151]),c_0_19]),c_0_19]),c_0_24]),c_0_151]) ).

cnf(c_0_154,negated_conjecture,
    join(complement(composition(esk1_0,X1)),join(complement(X2),composition(esk1_0,X2))) = join(one,complement(one)),
    inference(pm,[status(thm)],[c_0_152,c_0_41]) ).

cnf(c_0_155,negated_conjecture,
    join(complement(X1),composition(esk1_0,complement(composition(esk1_0,X1)))) = complement(X1),
    inference(pm,[status(thm)],[c_0_27,c_0_153]) ).

cnf(c_0_156,negated_conjecture,
    meet(composition(esk1_0,esk2_0),complement(esk3_0)) != meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_157,plain,
    join(X1,join(X2,join(X3,complement(join(X1,X4))))) = join(X1,join(complement(X4),join(X2,X3))),
    inference(pm,[status(thm)],[c_0_142,c_0_43]) ).

cnf(c_0_158,negated_conjecture,
    join(complement(composition(esk1_0,X1)),complement(join(complement(X2),composition(esk1_0,X2)))) = complement(composition(esk1_0,X1)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_154]),c_0_90]) ).

cnf(c_0_159,negated_conjecture,
    join(complement(X1),join(complement(composition(esk1_0,X1)),X2)) = join(complement(composition(esk1_0,X1)),X2),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_57]),c_0_43]) ).

cnf(c_0_160,negated_conjecture,
    join(X1,complement(composition(esk1_0,complement(composition(esk1_0,X1))))) = complement(composition(esk1_0,complement(composition(esk1_0,X1)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_132,c_0_155]),c_0_41]),c_0_24]) ).

cnf(c_0_161,negated_conjecture,
    complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0)))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_131]),c_0_131]) ).

cnf(c_0_162,negated_conjecture,
    join(complement(composition(esk1_0,X1)),join(X2,complement(composition(esk1_0,X3)))) = join(complement(X1),join(X2,complement(composition(esk1_0,X3)))),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).

cnf(c_0_163,negated_conjecture,
    join(composition(esk1_0,X1),complement(join(esk1_0,composition(esk1_0,complement(one))))) = join(X1,complement(join(esk1_0,composition(esk1_0,complement(one))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_106]),c_0_41]),c_0_61]),c_0_106]),c_0_41]) ).

cnf(c_0_164,plain,
    join(complement(X1),join(complement(join(X1,X2)),X3)) = join(complement(X1),X3),
    inference(pm,[status(thm)],[c_0_107,c_0_24]) ).

cnf(c_0_165,negated_conjecture,
    complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))) != complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),
    inference(rw,[status(thm)],[c_0_161,c_0_24]) ).

cnf(c_0_166,negated_conjecture,
    join(complement(composition(esk1_0,X1)),complement(composition(esk1_0,X2))) = join(complement(X1),complement(composition(esk1_0,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_61,c_0_162]),c_0_124]),c_0_41]),c_0_163]),c_0_164]) ).

cnf(c_0_167,negated_conjecture,
    complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))) != complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_41]),c_0_41]) ).

cnf(c_0_168,negated_conjecture,
    join(complement(composition(esk1_0,X1)),composition(esk1_0,X2)) = join(complement(composition(esk1_0,X1)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_166]),c_0_51]),c_0_41]),c_0_41]) ).

cnf(c_0_169,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : REL030+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n023.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 : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jul  8 09:36:11 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.40/23.42  eprover: CPU time limit exceeded, terminating
% 0.40/23.42  eprover: CPU time limit exceeded, terminating
% 0.40/23.43  eprover: CPU time limit exceeded, terminating
% 0.40/23.45  eprover: CPU time limit exceeded, terminating
% 0.56/46.44  eprover: CPU time limit exceeded, terminating
% 0.56/46.44  eprover: CPU time limit exceeded, terminating
% 0.56/46.45  eprover: CPU time limit exceeded, terminating
% 0.56/46.47  eprover: CPU time limit exceeded, terminating
% 0.73/69.45  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.73/69.45  
% 0.73/69.47  eprover: CPU time limit exceeded, terminating
% 0.73/69.49  eprover: CPU time limit exceeded, terminating
% 0.89/92.47  eprover: CPU time limit exceeded, terminating
% 0.89/92.47  eprover: CPU time limit exceeded, terminating
% 0.89/92.48  eprover: CPU time limit exceeded, terminating
% 0.89/92.51  eprover: CPU time limit exceeded, terminating
% 1.06/115.48  eprover: CPU time limit exceeded, terminating
% 1.06/115.49  eprover: CPU time limit exceeded, terminating
% 1.06/115.50  eprover: CPU time limit exceeded, terminating
% 1.06/115.53  eprover: CPU time limit exceeded, terminating
% 1.22/138.50  eprover: CPU time limit exceeded, terminating
% 1.22/138.50  eprover: CPU time limit exceeded, terminating
% 1.22/138.52  eprover: CPU time limit exceeded, terminating
% 1.22/138.55  eprover: CPU time limit exceeded, terminating
% 1.38/161.51  eprover: CPU time limit exceeded, terminating
% 1.38/161.53  eprover: CPU time limit exceeded, terminating
% 1.38/161.56  eprover: CPU time limit exceeded, terminating
% 1.38/161.56  eprover: CPU time limit exceeded, terminating
% 1.54/184.54  eprover: CPU time limit exceeded, terminating
% 1.54/184.55  eprover: CPU time limit exceeded, terminating
% 1.54/184.58  eprover: CPU time limit exceeded, terminating
% 1.54/184.58  eprover: CPU time limit exceeded, terminating
% 1.68/207.57  eprover: CPU time limit exceeded, terminating
% 1.68/207.58  eprover: CPU time limit exceeded, terminating
% 1.68/207.60  eprover: CPU time limit exceeded, terminating
% 1.68/207.60  eprover: CPU time limit exceeded, terminating
% 1.86/230.58  eprover: CPU time limit exceeded, terminating
% 1.86/230.64  eprover: CPU time limit exceeded, terminating
% 1.86/230.67  eprover: CPU time limit exceeded, terminating
% 1.90/237.67  eprover: CPU time limit exceeded, terminating
% 1.97/246.12  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # Preprocessing time       : 0.014 s
% 1.97/246.12  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.97/246.12  # Preprocessing time       : 0.008 s
% 1.97/246.12  # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # Preprocessing time       : 0.008 s
% 1.97/246.12  # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # Preprocessing time       : 0.008 s
% 1.97/246.12  # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # Preprocessing time       : 0.008 s
% 1.97/246.12  # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.97/246.12  # Preprocessing time       : 0.007 s
% 1.97/246.12  # Running protocol protocol_eprover_e60008599937a0dc787316fd87bf9ff4d65ffb48 for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.97/246.12  # Preprocessing time       : 0.008 s
% 1.97/246.12  # Running protocol protocol_eprover_03d534503f753dd3be02bb3c547fa7a3e34e825e for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # Preprocessing time       : 0.008 s
% 1.97/246.12  # Running protocol protocol_eprover_f8481b8ca6e1cbe7ac35251a2832c4c110836158 for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # SinE strategy is GSinE(CountFormulas,,1.2,,02,60,1.0)
% 1.97/246.12  # Preprocessing time       : 0.007 s
% 1.97/246.12  # Running protocol protocol_eprover_4692c23f3ccd5aecc2adbd7957ddb4b4144a02c8 for 23 seconds:
% 1.97/246.12  
% 1.97/246.12  # Failure: Resource limit exceeded (time)
% 1.97/246.12  # OLD status Res
% 1.97/246.12  # Preprocessing time       : 0.007 s
% 1.97/246.12  # Running protocol protocol_eprover_b44ef8977635a59c8900801cfd301da75891626e for 23 seconds:
% 1.97/246.12  # SinE strategy is GSinE(CountFormulas,hypos,1.2,,04,20000,1.0)
% 1.97/246.12  # Preprocessing time       : 0.008 s
% 1.97/246.12  
% 1.97/246.12  # Proof found!
% 1.97/246.12  # SZS status Theorem
% 1.97/246.12  # SZS output start CNFRefutation
% See solution above
% 1.97/246.12  # Proof object total steps             : 170
% 1.97/246.12  # Proof object clause steps            : 143
% 1.97/246.12  # Proof object formula steps           : 27
% 1.97/246.12  # Proof object conjectures             : 82
% 1.97/246.12  # Proof object clause conjectures      : 79
% 1.97/246.12  # Proof object formula conjectures     : 3
% 1.97/246.12  # Proof object initial clauses used    : 14
% 1.97/246.12  # Proof object initial formulas used   : 13
% 1.97/246.12  # Proof object generating inferences   : 117
% 1.97/246.12  # Proof object simplifying inferences  : 212
% 1.97/246.12  # Training examples: 0 positive, 0 negative
% 1.97/246.12  # Parsed axioms                        : 17
% 1.97/246.12  # Removed by relevancy pruning/SinE    : 2
% 1.97/246.12  # Initial clauses                      : 16
% 1.97/246.12  # Removed in clause preprocessing      : 1
% 1.97/246.12  # Initial clauses in saturation        : 15
% 1.97/246.12  # Processed clauses                    : 56142
% 1.97/246.12  # ...of these trivial                  : 31975
% 1.97/246.12  # ...subsumed                          : 21740
% 1.97/246.12  # ...remaining for further processing  : 2427
% 1.97/246.12  # Other redundant clauses eliminated   : 0
% 1.97/246.12  # Clauses deleted for lack of memory   : 306801
% 1.97/246.12  # Backward-subsumed                    : 2
% 1.97/246.12  # Backward-rewritten                   : 1174
% 1.97/246.12  # Generated clauses                    : 975435
% 1.97/246.12  # ...of the previous two non-trivial   : 642689
% 1.97/246.12  # Contextual simplify-reflections      : 0
% 1.97/246.12  # Paramodulations                      : 975435
% 1.97/246.12  # Factorizations                       : 0
% 1.97/246.12  # Equation resolutions                 : 0
% 1.97/246.12  # Current number of processed clauses  : 1251
% 1.97/246.12  #    Positive orientable unit clauses  : 1177
% 1.97/246.12  #    Positive unorientable unit clauses: 74
% 1.97/246.12  #    Negative unit clauses             : 0
% 1.97/246.12  #    Non-unit-clauses                  : 0
% 1.97/246.12  # Current number of unprocessed clauses: 81052
% 1.97/246.12  # ...number of literals in the above   : 81052
% 1.97/246.12  # Current number of archived formulas  : 0
% 1.97/246.12  # Current number of archived clauses   : 1177
% 1.97/246.12  # Clause-clause subsumption calls (NU) : 0
% 1.97/246.12  # Rec. Clause-clause subsumption calls : 0
% 1.97/246.12  # Non-unit clause-clause subsumptions  : 0
% 1.97/246.12  # Unit Clause-clause subsumption calls : 10840
% 1.97/246.12  # Rewrite failures with RHS unbound    : 694
% 1.97/246.12  # BW rewrite match attempts            : 77481
% 1.97/246.12  # BW rewrite match successes           : 11364
% 1.97/246.12  # Condensation attempts                : 0
% 1.97/246.12  # Condensation successes               : 0
% 1.97/246.12  # Termbank termtop insertions          : 22118850
% 1.97/246.12  
% 1.97/246.12  # -------------------------------------------------
% 1.97/246.12  # User time                : 14.816 s
% 1.97/246.12  # System time              : 0.154 s
% 1.97/246.12  # Total time               : 14.970 s
% 1.97/246.12  # Maximum resident set size: 172972 pages
% 1.97/253.60  eprover: CPU time limit exceeded, terminating
% 1.97/253.61  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.97/253.61  eprover: No such file or directory
% 1.97/253.66  eprover: CPU time limit exceeded, terminating
% 1.97/253.68  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.97/253.68  eprover: No such file or directory
% 1.97/260.69  eprover: CPU time limit exceeded, terminating
%------------------------------------------------------------------------------