TSTP Solution File: REL030+2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : REL030+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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  : 300s
% DateTime : Tue May 21 02:31:45 EDT 2024

% Result   : Theorem 21.29s 3.17s
% Output   : CNFRefutation 21.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  165 ( 159 unt;   0 def)
%            Number of atoms       :  174 ( 173 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   4   |;   3   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  231 (   9 sgn  54   !;   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(def_zero,axiom,
    ! [X1] : zero = meet(X1,complement(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).

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(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(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(goals,conjecture,
    ! [X1,X2,X3] :
      ( join(X1,one) = one
     => ( join(meet(composition(X1,X2),complement(X3)),meet(composition(X1,X2),complement(composition(X1,X3)))) = meet(composition(X1,X2),complement(composition(X1,X3)))
        & join(meet(composition(X1,X2),complement(composition(X1,X3))),meet(composition(X1,X2),complement(X3))) = meet(composition(X1,X2),complement(X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

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(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(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,
    ! [X21,X22] : converse(composition(X21,X22)) = composition(converse(X22),converse(X21)),
    inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).

fof(c_0_14,plain,
    ! [X17] : composition(X17,one) = X17,
    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,
    ! [X30] : converse(converse(X30)) = X30,
    inference(variable_rename,[status(thm)],[converse_idempotence]) ).

cnf(c_0_18,plain,
    composition(converse(one),converse(X1)) = converse(X1),
    inference(spm,[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,
    ! [X12,X13] : join(composition(converse(X12),complement(composition(X12,X13))),complement(X13)) = complement(X13),
    inference(variable_rename,[status(thm)],[converse_cancellativity]) ).

fof(c_0_21,plain,
    ! [X23,X24] : join(X23,X24) = join(X24,X23),
    inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).

cnf(c_0_22,plain,
    composition(converse(one),X1) = X1,
    inference(spm,[status(thm)],[c_0_18,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(spm,[status(thm)],[c_0_16,c_0_22]) ).

fof(c_0_26,plain,
    ! [X9] : zero = meet(X9,complement(X9)),
    inference(variable_rename,[status(thm)],[def_zero]) ).

fof(c_0_27,plain,
    ! [X7,X8] : meet(X7,X8) = complement(join(complement(X7),complement(X8))),
    inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).

cnf(c_0_28,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_29,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_22,c_0_25]) ).

cnf(c_0_30,plain,
    zero = meet(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_32,plain,
    ! [X10,X11] : X10 = join(complement(join(complement(X10),complement(X11))),complement(join(complement(X10),X11))),
    inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).

fof(c_0_33,plain,
    ! [X25,X26,X27] : join(X25,join(X26,X27)) = join(join(X25,X26),X27),
    inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).

cnf(c_0_34,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25]),c_0_29]) ).

cnf(c_0_35,plain,
    complement(join(complement(X1),complement(complement(X1)))) = zero,
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,plain,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_38,plain,
    join(zero,zero) = zero,
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_36,c_0_24]) ).

cnf(c_0_40,plain,
    join(zero,join(zero,X1)) = join(zero,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,plain,
    join(zero,complement(complement(X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_34]),c_0_24]) ).

cnf(c_0_42,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

fof(c_0_44,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( join(X1,one) = one
       => ( join(meet(composition(X1,X2),complement(X3)),meet(composition(X1,X2),complement(composition(X1,X3)))) = meet(composition(X1,X2),complement(composition(X1,X3)))
          & join(meet(composition(X1,X2),complement(composition(X1,X3))),meet(composition(X1,X2),complement(X3))) = meet(composition(X1,X2),complement(X3)) ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_45,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_34,c_0_43]) ).

fof(c_0_46,negated_conjecture,
    ( join(esk1_0,one) = one
    & ( join(meet(composition(esk1_0,esk2_0),complement(esk3_0)),meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0)))) != meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0)))
      | join(meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))),meet(composition(esk1_0,esk2_0),complement(esk3_0))) != meet(composition(esk1_0,esk2_0),complement(esk3_0)) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).

cnf(c_0_47,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_37,c_0_45]) ).

cnf(c_0_48,negated_conjecture,
    join(esk1_0,one) = one,
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_49,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_39]),c_0_24]) ).

cnf(c_0_50,plain,
    join(X1,join(X2,X1)) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_47,c_0_24]) ).

cnf(c_0_51,negated_conjecture,
    join(one,esk1_0) = one,
    inference(rw,[status(thm)],[c_0_48,c_0_24]) ).

cnf(c_0_52,plain,
    join(X1,complement(X1)) = complement(zero),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_43]),c_0_24]) ).

fof(c_0_53,plain,
    ! [X28,X29] : converse(join(X28,X29)) = join(converse(X28),converse(X29)),
    inference(variable_rename,[status(thm)],[converse_additivity]) ).

fof(c_0_54,plain,
    ! [X18,X19,X20] : composition(join(X18,X19),X20) = join(composition(X18,X20),composition(X19,X20)),
    inference(variable_rename,[status(thm)],[composition_distributivity]) ).

cnf(c_0_55,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    join(one,join(esk1_0,X1)) = join(one,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_51]) ).

cnf(c_0_57,plain,
    join(X1,complement(zero)) = complement(zero),
    inference(spm,[status(thm)],[c_0_47,c_0_52]) ).

cnf(c_0_58,plain,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_59,plain,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_60,plain,
    join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_24]),c_0_37]) ).

cnf(c_0_61,plain,
    join(complement(X1),complement(join(X2,X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_55,c_0_43]) ).

cnf(c_0_62,negated_conjecture,
    join(one,complement(esk1_0)) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_52]),c_0_57]) ).

cnf(c_0_63,plain,
    join(complement(zero),X1) = complement(zero),
    inference(spm,[status(thm)],[c_0_24,c_0_57]) ).

cnf(c_0_64,plain,
    join(converse(X1),converse(complement(zero))) = converse(complement(zero)),
    inference(spm,[status(thm)],[c_0_58,c_0_57]) ).

cnf(c_0_65,plain,
    join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
    inference(spm,[status(thm)],[c_0_59,c_0_29]) ).

cnf(c_0_66,negated_conjecture,
    join(one,converse(esk1_0)) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_25]),c_0_25]) ).

cnf(c_0_67,plain,
    join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(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_39]),c_0_43]),c_0_60]),c_0_24]),c_0_61]) ).

cnf(c_0_68,negated_conjecture,
    join(one,join(complement(esk1_0),X1)) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_62]),c_0_63]) ).

cnf(c_0_69,plain,
    join(X1,converse(complement(zero))) = converse(complement(zero)),
    inference(spm,[status(thm)],[c_0_64,c_0_19]) ).

cnf(c_0_70,negated_conjecture,
    join(X1,composition(converse(esk1_0),X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_29]) ).

cnf(c_0_71,plain,
    join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_67,c_0_43]) ).

cnf(c_0_72,negated_conjecture,
    converse(complement(zero)) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_69]) ).

cnf(c_0_73,negated_conjecture,
    join(converse(X1),composition(converse(X1),esk1_0)) = converse(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_70]),c_0_15]),c_0_19]) ).

cnf(c_0_74,plain,
    join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_71]),c_0_47]) ).

cnf(c_0_75,plain,
    join(converse(X1),converse(complement(X1))) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_52]),c_0_72]) ).

cnf(c_0_76,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_24,c_0_42]) ).

cnf(c_0_77,negated_conjecture,
    join(X1,composition(X1,esk1_0)) = X1,
    inference(spm,[status(thm)],[c_0_73,c_0_19]) ).

cnf(c_0_78,plain,
    join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_43]),c_0_76]) ).

cnf(c_0_79,negated_conjecture,
    join(X1,join(composition(X1,esk1_0),X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_37,c_0_77]) ).

cnf(c_0_80,plain,
    join(X1,converse(complement(converse(complement(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_78]),c_0_19]),c_0_19]) ).

cnf(c_0_81,plain,
    join(X1,converse(complement(converse(X1)))) = complement(zero),
    inference(spm,[status(thm)],[c_0_75,c_0_19]) ).

cnf(c_0_82,negated_conjecture,
    join(X1,composition(join(X1,X2),esk1_0)) = join(X1,composition(X2,esk1_0)),
    inference(spm,[status(thm)],[c_0_79,c_0_59]) ).

cnf(c_0_83,plain,
    join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
    inference(spm,[status(thm)],[c_0_74,c_0_24]) ).

cnf(c_0_84,plain,
    join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
    inference(spm,[status(thm)],[c_0_80,c_0_43]) ).

cnf(c_0_85,plain,
    join(X1,complement(converse(complement(converse(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_81]),c_0_43]),c_0_76]) ).

cnf(c_0_86,plain,
    join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_29]),c_0_24]) ).

fof(c_0_87,plain,
    ! [X14,X15,X16] : composition(X14,composition(X15,X16)) = composition(composition(X14,X15),X16),
    inference(variable_rename,[status(thm)],[composition_associativity]) ).

cnf(c_0_88,negated_conjecture,
    join(X1,composition(complement(join(X2,X1)),esk1_0)) = join(X1,composition(complement(X2),esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_82]) ).

cnf(c_0_89,negated_conjecture,
    join(complement(one),complement(esk1_0)) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_51]),c_0_24]) ).

cnf(c_0_90,plain,
    complement(converse(complement(converse(X1)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_84]),c_0_43]),c_0_24]),c_0_85]) ).

cnf(c_0_91,plain,
    join(converse(X1),composition(converse(X1),converse(X2))) = composition(converse(X1),join(one,converse(X2))),
    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_15,c_0_86]),c_0_58]),c_0_15]),c_0_58]),c_0_25]),c_0_24]) ).

cnf(c_0_92,plain,
    composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    join(composition(esk1_0,esk1_0),complement(esk1_0)) = complement(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(spm,[status(thm)],[c_0_88,c_0_89]),c_0_43]),c_0_43]),c_0_29]),c_0_24]),c_0_52]),c_0_24]) ).

cnf(c_0_94,plain,
    converse(complement(converse(X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_43,c_0_90]) ).

cnf(c_0_95,plain,
    join(converse(X1),composition(converse(X1),X2)) = composition(converse(X1),join(one,X2)),
    inference(spm,[status(thm)],[c_0_91,c_0_19]) ).

cnf(c_0_96,plain,
    join(composition(X1,X2),composition(X3,composition(X4,X2))) = composition(join(X1,composition(X3,X4)),X2),
    inference(spm,[status(thm)],[c_0_59,c_0_92]) ).

cnf(c_0_97,negated_conjecture,
    composition(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(spm,[status(thm)],[c_0_74,c_0_93]),c_0_43]),c_0_76]),c_0_43]),c_0_24]),c_0_77]) ).

cnf(c_0_98,plain,
    join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
    inference(spm,[status(thm)],[c_0_28,c_0_16]) ).

cnf(c_0_99,plain,
    converse(complement(X1)) = complement(converse(X1)),
    inference(spm,[status(thm)],[c_0_19,c_0_94]) ).

cnf(c_0_100,plain,
    join(X1,composition(X1,X2)) = composition(X1,join(one,X2)),
    inference(spm,[status(thm)],[c_0_95,c_0_19]) ).

cnf(c_0_101,negated_conjecture,
    composition(join(X1,composition(X2,esk1_0)),esk1_0) = composition(join(X1,X2),esk1_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_59]) ).

cnf(c_0_102,plain,
    join(complement(one),composition(complement(converse(X1)),X1)) = complement(one),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_43]),c_0_99]) ).

cnf(c_0_103,negated_conjecture,
    join(complement(one),complement(converse(esk1_0))) = complement(converse(esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_66]),c_0_24]) ).

cnf(c_0_104,plain,
    join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
    inference(spm,[status(thm)],[c_0_24,c_0_37]) ).

cnf(c_0_105,negated_conjecture,
    join(X1,composition(X1,converse(esk1_0))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_70]),c_0_16]),c_0_16]) ).

cnf(c_0_106,negated_conjecture,
    composition(complement(converse(esk1_0)),esk1_0) = composition(complement(one),esk1_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).

cnf(c_0_107,plain,
    join(X1,join(complement(X1),X2)) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_52]),c_0_57]) ).

cnf(c_0_108,plain,
    join(X1,composition(complement(zero),X1)) = composition(complement(zero),X1),
    inference(spm,[status(thm)],[c_0_86,c_0_63]) ).

cnf(c_0_109,negated_conjecture,
    join(X1,join(X2,composition(X1,converse(esk1_0)))) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_60,c_0_105]) ).

cnf(c_0_110,plain,
    join(X1,composition(complement(one),X1)) = composition(complement(zero),X1),
    inference(spm,[status(thm)],[c_0_65,c_0_52]) ).

cnf(c_0_111,negated_conjecture,
    composition(join(complement(converse(esk1_0)),X1),esk1_0) = composition(join(complement(one),X1),esk1_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_106]),c_0_59]) ).

cnf(c_0_112,plain,
    join(X1,composition(complement(zero),complement(X1))) = complement(zero),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_113,negated_conjecture,
    join(complement(one),composition(complement(zero),converse(esk1_0))) = join(complement(one),converse(esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_24]) ).

cnf(c_0_114,negated_conjecture,
    join(X1,join(X2,composition(X1,esk1_0))) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_60,c_0_77]) ).

cnf(c_0_115,plain,
    join(converse(zero),converse(X1)) = converse(X1),
    inference(spm,[status(thm)],[c_0_58,c_0_42]) ).

cnf(c_0_116,negated_conjecture,
    composition(join(complement(one),converse(esk1_0)),esk1_0) = composition(complement(zero),esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_43]),c_0_113]) ).

cnf(c_0_117,negated_conjecture,
    join(composition(complement(zero),esk1_0),complement(one)) = join(esk1_0,complement(one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_110]),c_0_24]) ).

cnf(c_0_118,plain,
    join(X1,composition(converse(X2),complement(composition(X2,complement(X1))))) = X1,
    inference(spm,[status(thm)],[c_0_28,c_0_43]) ).

cnf(c_0_119,plain,
    join(converse(zero),X1) = X1,
    inference(spm,[status(thm)],[c_0_115,c_0_19]) ).

cnf(c_0_120,negated_conjecture,
    join(complement(one),composition(converse(esk1_0),esk1_0)) = join(esk1_0,complement(one)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_116]),c_0_24]),c_0_117]) ).

cnf(c_0_121,plain,
    composition(converse(X1),complement(composition(X1,complement(zero)))) = zero,
    inference(spm,[status(thm)],[c_0_42,c_0_118]) ).

cnf(c_0_122,plain,
    converse(zero) = zero,
    inference(spm,[status(thm)],[c_0_76,c_0_119]) ).

cnf(c_0_123,negated_conjecture,
    join(complement(one),converse(esk1_0)) = join(esk1_0,complement(one)),
    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_58,c_0_120]),c_0_58]),c_0_99]),c_0_25]),c_0_24]),c_0_99]),c_0_25]),c_0_15]),c_0_19]),c_0_120]) ).

cnf(c_0_124,negated_conjecture,
    join(complement(X1),complement(composition(X1,esk1_0))) = complement(composition(X1,esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_77]),c_0_24]) ).

cnf(c_0_125,plain,
    composition(complement(composition(complement(zero),converse(X1))),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(spm,[status(thm)],[c_0_15,c_0_121]),c_0_122]),c_0_99]),c_0_15]),c_0_99]),c_0_122]),c_0_19]) ).

cnf(c_0_126,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_24]) ).

cnf(c_0_127,negated_conjecture,
    complement(converse(esk1_0)) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_123]),c_0_83]),c_0_89]),c_0_103]) ).

cnf(c_0_128,negated_conjecture,
    join(X1,complement(composition(join(X1,X2),esk1_0))) = join(X1,complement(composition(X2,esk1_0))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_82]),c_0_74]) ).

cnf(c_0_129,negated_conjecture,
    join(X1,complement(composition(complement(X1),esk1_0))) = complement(composition(complement(X1),esk1_0)),
    inference(spm,[status(thm)],[c_0_124,c_0_43]) ).

cnf(c_0_130,plain,
    composition(complement(composition(complement(zero),X1)),converse(X1)) = zero,
    inference(spm,[status(thm)],[c_0_125,c_0_19]) ).

cnf(c_0_131,negated_conjecture,
    converse(esk1_0) = esk1_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_126]) ).

cnf(c_0_132,negated_conjecture,
    join(X1,complement(composition(complement(zero),esk1_0))) = complement(composition(complement(X1),esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_52]),c_0_129]) ).

cnf(c_0_133,plain,
    join(composition(join(X1,one),X2),X3) = join(X2,join(composition(X1,X2),X3)),
    inference(spm,[status(thm)],[c_0_37,c_0_86]) ).

cnf(c_0_134,plain,
    join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))) = composition(converse(X1),join(converse(X2),converse(X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_15]),c_0_58]),c_0_15]),c_0_15]) ).

cnf(c_0_135,negated_conjecture,
    composition(complement(composition(complement(zero),esk1_0)),esk1_0) = zero,
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_136,negated_conjecture,
    join(X1,complement(composition(complement(X2),esk1_0))) = complement(composition(complement(join(X1,X2)),esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_132]),c_0_132]) ).

cnf(c_0_137,plain,
    join(composition(join(one,X1),X2),X3) = join(X2,join(composition(X1,X2),X3)),
    inference(spm,[status(thm)],[c_0_133,c_0_24]) ).

cnf(c_0_138,plain,
    join(composition(X1,converse(X2)),composition(X1,converse(X3))) = composition(X1,join(converse(X2),converse(X3))),
    inference(spm,[status(thm)],[c_0_134,c_0_19]) ).

cnf(c_0_139,negated_conjecture,
    composition(complement(composition(complement(X1),esk1_0)),esk1_0) = composition(X1,esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_135]),c_0_76]),c_0_136]),c_0_76]) ).

cnf(c_0_140,negated_conjecture,
    join(X1,join(composition(esk1_0,X1),X2)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_51]),c_0_29]) ).

cnf(c_0_141,plain,
    join(composition(X1,converse(X2)),composition(X1,X3)) = composition(X1,join(converse(X2),X3)),
    inference(spm,[status(thm)],[c_0_138,c_0_19]) ).

cnf(c_0_142,negated_conjecture,
    composition(complement(composition(X1,esk1_0)),esk1_0) = composition(complement(X1),esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_139]),c_0_92]),c_0_97]) ).

cnf(c_0_143,negated_conjecture,
    join(X1,composition(esk1_0,X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_140]),c_0_45]),c_0_24]) ).

cnf(c_0_144,negated_conjecture,
    join(X1,complement(join(composition(esk1_0,X1),X2))) = join(X1,complement(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_74]),c_0_140]) ).

cnf(c_0_145,plain,
    join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
    inference(spm,[status(thm)],[c_0_141,c_0_19]) ).

cnf(c_0_146,negated_conjecture,
    composition(esk1_0,complement(composition(esk1_0,converse(X1)))) = composition(esk1_0,complement(converse(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(spm,[status(thm)],[c_0_15,c_0_142]),c_0_15]),c_0_131]),c_0_99]),c_0_131]),c_0_99]),c_0_15]),c_0_131]) ).

cnf(c_0_147,negated_conjecture,
    join(complement(X1),complement(composition(esk1_0,X1))) = complement(composition(esk1_0,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_143]),c_0_24]) ).

cnf(c_0_148,negated_conjecture,
    ( join(meet(composition(esk1_0,esk2_0),complement(esk3_0)),meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0)))) != meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0)))
    | join(meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))),meet(composition(esk1_0,esk2_0),complement(esk3_0))) != meet(composition(esk1_0,esk2_0),complement(esk3_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_149,negated_conjecture,
    join(X1,complement(composition(esk1_0,join(X1,X2)))) = join(X1,complement(composition(esk1_0,X2))),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_150,negated_conjecture,
    join(X1,complement(composition(esk1_0,X1))) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_52]),c_0_57]) ).

cnf(c_0_151,negated_conjecture,
    composition(esk1_0,complement(composition(esk1_0,X1))) = composition(esk1_0,complement(X1)),
    inference(spm,[status(thm)],[c_0_146,c_0_19]) ).

cnf(c_0_152,negated_conjecture,
    join(X1,complement(composition(esk1_0,complement(X1)))) = complement(composition(esk1_0,complement(X1))),
    inference(spm,[status(thm)],[c_0_147,c_0_43]) ).

cnf(c_0_153,negated_conjecture,
    ( join(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)))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))
    | join(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)))))) != complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_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)],[c_0_148,c_0_24]),c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).

cnf(c_0_154,negated_conjecture,
    join(X1,complement(composition(esk1_0,complement(zero)))) = complement(composition(esk1_0,complement(X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152]) ).

cnf(c_0_155,negated_conjecture,
    ( join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0))))) != complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0))))
    | join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0))))) != complement(join(esk3_0,complement(composition(esk1_0,esk2_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(spm,[status(thm)],[c_0_153,c_0_43]),c_0_43]),c_0_43]),c_0_43]),c_0_24]),c_0_24]),c_0_24]),c_0_24]),c_0_24]),c_0_24]) ).

cnf(c_0_156,negated_conjecture,
    join(complement(join(X1,X2)),complement(join(composition(esk1_0,X1),X2))) = complement(join(composition(esk1_0,X1),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_140]),c_0_24]) ).

cnf(c_0_157,negated_conjecture,
    join(X1,complement(composition(esk1_0,complement(X2)))) = complement(composition(esk1_0,complement(join(X1,X2)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_154]),c_0_154]) ).

cnf(c_0_158,negated_conjecture,
    composition(esk1_0,composition(esk1_0,X1)) = composition(esk1_0,X1),
    inference(spm,[status(thm)],[c_0_92,c_0_97]) ).

cnf(c_0_159,negated_conjecture,
    complement(join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0)))) != complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156]),c_0_156])]) ).

cnf(c_0_160,negated_conjecture,
    join(X1,complement(composition(esk1_0,X2))) = complement(composition(esk1_0,complement(join(X1,complement(X2))))),
    inference(spm,[status(thm)],[c_0_157,c_0_43]) ).

cnf(c_0_161,negated_conjecture,
    composition(esk1_0,join(composition(esk1_0,X1),X2)) = composition(esk1_0,join(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_158]),c_0_145]) ).

cnf(c_0_162,negated_conjecture,
    composition(esk1_0,complement(join(composition(esk1_0,esk3_0),complement(esk2_0)))) != composition(esk1_0,complement(join(esk3_0,complement(esk2_0)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160]),c_0_43]),c_0_160]),c_0_43]) ).

cnf(c_0_163,negated_conjecture,
    composition(esk1_0,complement(join(composition(esk1_0,X1),X2))) = composition(esk1_0,complement(join(X1,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_161]),c_0_151]) ).

cnf(c_0_164,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : REL030+2 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 08:18:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.29/3.17  # Version: 3.1.0
% 21.29/3.17  # Preprocessing class: FSMSSMSSSSSNFFN.
% 21.29/3.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.29/3.17  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 21.29/3.17  # Starting new_bool_3 with 300s (1) cores
% 21.29/3.17  # Starting new_bool_1 with 300s (1) cores
% 21.29/3.17  # Starting sh5l with 300s (1) cores
% 21.29/3.17  # sh5l with pid 16472 completed with status 0
% 21.29/3.17  # Result found by sh5l
% 21.29/3.17  # Preprocessing class: FSMSSMSSSSSNFFN.
% 21.29/3.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.29/3.17  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 21.29/3.17  # Starting new_bool_3 with 300s (1) cores
% 21.29/3.17  # Starting new_bool_1 with 300s (1) cores
% 21.29/3.17  # Starting sh5l with 300s (1) cores
% 21.29/3.17  # SinE strategy is gf500_gu_R04_F100_L20000
% 21.29/3.17  # Search class: FUHPM-FFSF21-MFFFFFNN
% 21.29/3.17  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 21.29/3.17  # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 163s (1) cores
% 21.29/3.17  # H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 16480 completed with status 0
% 21.29/3.17  # Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 21.29/3.17  # Preprocessing class: FSMSSMSSSSSNFFN.
% 21.29/3.17  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.29/3.17  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 21.29/3.17  # Starting new_bool_3 with 300s (1) cores
% 21.29/3.17  # Starting new_bool_1 with 300s (1) cores
% 21.29/3.17  # Starting sh5l with 300s (1) cores
% 21.29/3.17  # SinE strategy is gf500_gu_R04_F100_L20000
% 21.29/3.17  # Search class: FUHPM-FFSF21-MFFFFFNN
% 21.29/3.17  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 21.29/3.17  # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 163s (1) cores
% 21.29/3.17  # Preprocessing time       : 0.001 s
% 21.29/3.17  
% 21.29/3.17  # Proof found!
% 21.29/3.17  # SZS status Theorem
% 21.29/3.17  # SZS output start CNFRefutation
% See solution above
% 21.29/3.17  # Parsed axioms                        : 14
% 21.29/3.17  # Removed by relevancy pruning/SinE    : 1
% 21.29/3.17  # Initial clauses                      : 14
% 21.29/3.17  # Removed in clause preprocessing      : 0
% 21.29/3.17  # Initial clauses in saturation        : 14
% 21.29/3.17  # Processed clauses                    : 9879
% 21.29/3.17  # ...of these trivial                  : 5490
% 21.29/3.17  # ...subsumed                          : 3417
% 21.29/3.17  # ...remaining for further processing  : 972
% 21.29/3.17  # Other redundant clauses eliminated   : 0
% 21.29/3.17  # Clauses deleted for lack of memory   : 0
% 21.29/3.17  # Backward-subsumed                    : 0
% 21.29/3.17  # Backward-rewritten                   : 275
% 21.29/3.17  # Generated clauses                    : 279077
% 21.29/3.17  # ...of the previous two non-redundant : 165472
% 21.29/3.17  # ...aggressively subsumed             : 0
% 21.29/3.17  # Contextual simplify-reflections      : 0
% 21.29/3.17  # Paramodulations                      : 279077
% 21.29/3.17  # Factorizations                       : 0
% 21.29/3.17  # NegExts                              : 0
% 21.29/3.17  # Equation resolutions                 : 0
% 21.29/3.17  # Disequality decompositions           : 0
% 21.29/3.17  # Total rewrite steps                  : 642860
% 21.29/3.17  # ...of those cached                   : 540988
% 21.29/3.17  # Propositional unsat checks           : 0
% 21.29/3.17  #    Propositional check models        : 0
% 21.29/3.17  #    Propositional check unsatisfiable : 0
% 21.29/3.17  #    Propositional clauses             : 0
% 21.29/3.17  #    Propositional clauses after purity: 0
% 21.29/3.17  #    Propositional unsat core size     : 0
% 21.29/3.17  #    Propositional preprocessing time  : 0.000
% 21.29/3.17  #    Propositional encoding time       : 0.000
% 21.29/3.17  #    Propositional solver time         : 0.000
% 21.29/3.17  #    Success case prop preproc time    : 0.000
% 21.29/3.17  #    Success case prop encoding time   : 0.000
% 21.29/3.17  #    Success case prop solver time     : 0.000
% 21.29/3.17  # Current number of processed clauses  : 697
% 21.29/3.17  #    Positive orientable unit clauses  : 660
% 21.29/3.17  #    Positive unorientable unit clauses: 37
% 21.29/3.17  #    Negative unit clauses             : 0
% 21.29/3.17  #    Non-unit-clauses                  : 0
% 21.29/3.17  # Current number of unprocessed clauses: 153863
% 21.29/3.17  # ...number of literals in the above   : 153863
% 21.29/3.17  # Current number of archived formulas  : 0
% 21.29/3.17  # Current number of archived clauses   : 275
% 21.29/3.17  # Clause-clause subsumption calls (NU) : 2
% 21.29/3.17  # Rec. Clause-clause subsumption calls : 2
% 21.29/3.17  # Non-unit clause-clause subsumptions  : 1
% 21.29/3.17  # Unit Clause-clause subsumption calls : 448
% 21.29/3.17  # Rewrite failures with RHS unbound    : 88
% 21.29/3.17  # BW rewrite match attempts            : 10452
% 21.29/3.17  # BW rewrite match successes           : 986
% 21.29/3.17  # Condensation attempts                : 0
% 21.29/3.17  # Condensation successes               : 0
% 21.29/3.17  # Termbank termtop insertions          : 4693808
% 21.29/3.17  # Search garbage collected termcells   : 51
% 21.29/3.17  
% 21.29/3.17  # -------------------------------------------------
% 21.29/3.17  # User time                : 2.478 s
% 21.29/3.17  # System time              : 0.111 s
% 21.29/3.17  # Total time               : 2.590 s
% 21.29/3.17  # Maximum resident set size: 1720 pages
% 21.29/3.17  
% 21.29/3.17  # -------------------------------------------------
% 21.29/3.17  # User time                : 2.481 s
% 21.29/3.17  # System time              : 0.112 s
% 21.29/3.17  # Total time               : 2.593 s
% 21.29/3.17  # Maximum resident set size: 1756 pages
% 21.29/3.17  % E---3.1 exiting
% 21.29/3.17  % E exiting
%------------------------------------------------------------------------------