TSTP Solution File: REL027+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : REL027+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 19:19:34 EDT 2022

% Result   : Theorem 0.24s 1.43s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  172 ( 169 unt;   0 def)
%            Number of atoms       :  175 ( 174 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :   11 (   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   :  205 (  10 sgn  64   !;   0   ?)

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

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

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

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

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

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

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

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

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

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/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).

fof(converse_additivity,axiom,
    ! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001+1.ax',dedekind_law) ).

fof(modular_law_1,axiom,
    ! [X1,X2,X3] : join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+1.ax',modular_law_1) ).

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

fof(c_0_16,plain,
    ! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
    inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).

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

cnf(c_0_18,plain,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    inference(split_conjunct,[status(thm)],[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,
    ! [X2] : composition(X2,one) = X2,
    inference(variable_rename,[status(thm)],[composition_identity]) ).

cnf(c_0_21,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    composition(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_23,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_24,plain,
    ! [X3,X4] : join(X3,X4) = join(X4,X3),
    inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).

cnf(c_0_25,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19]) ).

fof(c_0_26,plain,
    ! [X2] : zero = meet(X2,complement(X2)),
    inference(variable_rename,[status(thm)],[def_zero]) ).

fof(c_0_27,plain,
    ! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
    inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).

fof(c_0_28,plain,
    ! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
    inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).

fof(c_0_29,plain,
    ! [X2] : top = join(X2,complement(X2)),
    inference(variable_rename,[status(thm)],[def_top]) ).

cnf(c_0_30,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,plain,
    join(X1,X2) = join(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_32,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_22,c_0_25]) ).

fof(c_0_33,negated_conjecture,
    ~ ! [X1] :
        ( join(X1,one) = one
       => meet(complement(composition(X1,top)),one) = meet(complement(X1),one) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_34,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_35,plain,
    zero = meet(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,plain,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    top = join(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_40,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_25,c_0_32]) ).

fof(c_0_41,negated_conjecture,
    ( join(esk1_0,one) = one
    & meet(complement(composition(esk1_0,top)),one) != meet(complement(esk1_0),one) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).

fof(c_0_42,plain,
    ! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
    inference(variable_rename,[status(thm)],[converse_additivity]) ).

cnf(c_0_43,plain,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,plain,
    zero = complement(join(complement(X1),complement(complement(X1)))),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_45,plain,
    join(X1,join(complement(X1),X2)) = join(top,X2),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_46,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_32]),c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    join(esk1_0,one) = one,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_48,plain,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_43,c_0_31]) ).

cnf(c_0_50,plain,
    complement(top) = zero,
    inference(rw,[status(thm)],[c_0_44,c_0_38]) ).

cnf(c_0_51,plain,
    join(top,complement(complement(X1))) = join(X1,top),
    inference(spm,[status(thm)],[c_0_45,c_0_38]) ).

cnf(c_0_52,plain,
    join(top,complement(X1)) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_38]) ).

cnf(c_0_53,negated_conjecture,
    join(one,esk1_0) = one,
    inference(rw,[status(thm)],[c_0_47,c_0_31]) ).

cnf(c_0_54,plain,
    converse(join(converse(X1),X2)) = join(X1,converse(X2)),
    inference(spm,[status(thm)],[c_0_48,c_0_19]) ).

cnf(c_0_55,plain,
    join(zero,complement(join(complement(X1),complement(X1)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_38]),c_0_50]),c_0_31]) ).

cnf(c_0_56,plain,
    join(complement(X1),complement(join(complement(join(complement(X1),X2)),join(complement(X1),complement(X2))))) = join(complement(X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_49]),c_0_31]) ).

cnf(c_0_57,plain,
    join(X1,top) = top,
    inference(rw,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    join(one,join(esk1_0,X1)) = join(one,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_53]) ).

cnf(c_0_59,plain,
    join(X1,converse(complement(converse(X1)))) = converse(top),
    inference(spm,[status(thm)],[c_0_54,c_0_38]) ).

cnf(c_0_60,plain,
    join(zero,complement(complement(X1))) = X1,
    inference(rw,[status(thm)],[c_0_55,c_0_46]) ).

cnf(c_0_61,plain,
    join(zero,complement(X1)) = complement(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_56,c_0_38]),c_0_46]),c_0_57]),c_0_50]),c_0_46]),c_0_31]) ).

cnf(c_0_62,plain,
    converse(join(X1,converse(X2))) = join(converse(X1),X2),
    inference(spm,[status(thm)],[c_0_48,c_0_19]) ).

cnf(c_0_63,negated_conjecture,
    join(one,converse(complement(converse(esk1_0)))) = join(one,converse(top)),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    join(converse(one),complement(converse(esk1_0))) = join(top,converse(one)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_62]),c_0_31]) ).

cnf(c_0_66,plain,
    join(zero,composition(converse(X1),complement(composition(X1,top)))) = zero,
    inference(spm,[status(thm)],[c_0_39,c_0_50]) ).

cnf(c_0_67,plain,
    join(zero,X1) = 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_49,c_0_50]),c_0_57]),c_0_50]),c_0_31]),c_0_61]),c_0_64]) ).

cnf(c_0_68,plain,
    join(top,X1) = top,
    inference(spm,[status(thm)],[c_0_31,c_0_57]) ).

fof(c_0_69,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]) ).

cnf(c_0_70,negated_conjecture,
    join(one,complement(converse(esk1_0))) = join(one,top),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_32]),c_0_32]),c_0_31]) ).

cnf(c_0_71,negated_conjecture,
    join(one,complement(esk1_0)) = join(one,top),
    inference(spm,[status(thm)],[c_0_58,c_0_38]) ).

fof(c_0_72,plain,
    ! [X4,X5,X6] : join(meet(composition(X4,X5),X6),meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6)) = meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6),
    inference(variable_rename,[status(thm)],[modular_law_1]) ).

fof(c_0_73,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_74,plain,
    composition(converse(X1),complement(composition(X1,top))) = zero,
    inference(rw,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,plain,
    converse(top) = top,
    inference(spm,[status(thm)],[c_0_59,c_0_68]) ).

cnf(c_0_76,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_69]) ).

cnf(c_0_77,plain,
    join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
    inference(spm,[status(thm)],[c_0_49,c_0_31]) ).

cnf(c_0_78,negated_conjecture,
    join(one,complement(converse(esk1_0))) = top,
    inference(rw,[status(thm)],[c_0_70,c_0_57]) ).

cnf(c_0_79,negated_conjecture,
    join(one,complement(esk1_0)) = top,
    inference(rw,[status(thm)],[c_0_71,c_0_57]) ).

cnf(c_0_80,plain,
    join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_81,plain,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_82,plain,
    composition(top,complement(composition(top,top))) = zero,
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_83,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_76,c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]) ).

cnf(c_0_84,negated_conjecture,
    complement(join(complement(one),complement(converse(esk1_0)))) = converse(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_50]),c_0_67]),c_0_31]) ).

cnf(c_0_85,negated_conjecture,
    complement(join(complement(one),complement(esk1_0))) = esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_79]),c_0_50]),c_0_67]),c_0_31]) ).

cnf(c_0_86,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_46,c_0_64]) ).

cnf(c_0_87,plain,
    join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]) ).

cnf(c_0_88,plain,
    composition(X1,complement(composition(top,top))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_67]),c_0_68]),c_0_82]) ).

cnf(c_0_89,plain,
    converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_90,plain,
    join(complement(join(complement(one),complement(composition(X1,X2)))),composition(complement(join(complement(X1),complement(converse(X2)))),complement(join(complement(X2),complement(converse(X1)))))) = composition(complement(join(complement(X1),complement(converse(X2)))),complement(join(complement(X2),complement(converse(X1))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_22]),c_0_31]),c_0_40]),c_0_40]) ).

cnf(c_0_91,negated_conjecture,
    join(complement(one),complement(converse(esk1_0))) = complement(converse(esk1_0)),
    inference(spm,[status(thm)],[c_0_64,c_0_84]) ).

cnf(c_0_92,negated_conjecture,
    join(complement(one),complement(esk1_0)) = complement(esk1_0),
    inference(spm,[status(thm)],[c_0_64,c_0_85]) ).

cnf(c_0_93,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_37,c_0_86]) ).

cnf(c_0_94,plain,
    join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))) = complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_31]),c_0_31]) ).

cnf(c_0_95,plain,
    complement(composition(top,top)) = zero,
    inference(spm,[status(thm)],[c_0_40,c_0_88]) ).

cnf(c_0_96,plain,
    converse(join(X1,composition(X2,converse(X3)))) = join(converse(X1),composition(X3,converse(X2))),
    inference(spm,[status(thm)],[c_0_48,c_0_89]) ).

cnf(c_0_97,negated_conjecture,
    join(esk1_0,composition(esk1_0,converse(esk1_0))) = composition(esk1_0,converse(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(spm,[status(thm)],[c_0_90,c_0_91]),c_0_22]),c_0_92]),c_0_64]),c_0_32]),c_0_31]),c_0_92]),c_0_64]),c_0_64]),c_0_32]),c_0_31]),c_0_92]),c_0_64]),c_0_64]) ).

cnf(c_0_98,plain,
    join(complement(join(complement(X1),complement(X2))),composition(complement(join(complement(one),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(X2))))) = composition(complement(join(complement(one),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(X2)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_32]),c_0_40]),c_0_40]),c_0_40]) ).

cnf(c_0_99,plain,
    join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
    inference(spm,[status(thm)],[c_0_81,c_0_40]) ).

cnf(c_0_100,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_49]),c_0_31]) ).

cnf(c_0_101,plain,
    join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),complement(composition(X1,complement(join(complement(one),complement(composition(converse(X1),X2))))))))) = complement(join(complement(X2),complement(composition(X1,complement(join(complement(one),complement(composition(converse(X1),X2)))))))),
    inference(spm,[status(thm)],[c_0_94,c_0_22]) ).

cnf(c_0_102,plain,
    complement(zero) = top,
    inference(spm,[status(thm)],[c_0_38,c_0_61]) ).

cnf(c_0_103,plain,
    composition(X1,zero) = zero,
    inference(rw,[status(thm)],[c_0_88,c_0_95]) ).

cnf(c_0_104,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_31,c_0_67]) ).

cnf(c_0_105,negated_conjecture,
    join(converse(esk1_0),composition(esk1_0,converse(esk1_0))) = composition(esk1_0,converse(esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_89]) ).

cnf(c_0_106,plain,
    composition(complement(join(complement(one),complement(composition(X1,converse(X2))))),complement(join(complement(X2),complement(X1)))) = complement(join(complement(X2),complement(X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_40]) ).

cnf(c_0_107,plain,
    complement(join(complement(X1),composition(X1,top))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_74]),c_0_64]),c_0_64]),c_0_102]),c_0_57]),c_0_50]),c_0_103]),c_0_102]),c_0_57]),c_0_50]),c_0_104]),c_0_64]),c_0_102]),c_0_57]),c_0_50]),c_0_103]),c_0_102]),c_0_57]),c_0_50]) ).

cnf(c_0_108,negated_conjecture,
    composition(esk1_0,converse(esk1_0)) = converse(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_99]),c_0_53]),c_0_40]) ).

cnf(c_0_109,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_92]),c_0_32]),c_0_22]),c_0_92]),c_0_64]),c_0_64]),c_0_64]) ).

cnf(c_0_110,plain,
    join(complement(X1),composition(X1,top)) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_107]),c_0_37]),c_0_104]) ).

fof(c_0_111,plain,
    ! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
    inference(variable_rename,[status(thm)],[composition_associativity]) ).

cnf(c_0_112,negated_conjecture,
    converse(esk1_0) = esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_108]),c_0_19]),c_0_108]) ).

cnf(c_0_113,negated_conjecture,
    composition(join(esk1_0,X1),esk1_0) = join(esk1_0,composition(X1,esk1_0)),
    inference(spm,[status(thm)],[c_0_81,c_0_109]) ).

cnf(c_0_114,plain,
    join(X1,composition(complement(X1),top)) = top,
    inference(spm,[status(thm)],[c_0_110,c_0_64]) ).

cnf(c_0_115,plain,
    composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_116,plain,
    join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) = complement(converse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_18]),c_0_19]) ).

cnf(c_0_117,plain,
    join(X1,converse(complement(converse(X1)))) = top,
    inference(rw,[status(thm)],[c_0_59,c_0_75]) ).

cnf(c_0_118,negated_conjecture,
    converse(join(esk1_0,X1)) = join(esk1_0,converse(X1)),
    inference(spm,[status(thm)],[c_0_48,c_0_112]) ).

cnf(c_0_119,negated_conjecture,
    join(esk1_0,composition(complement(esk1_0),composition(top,esk1_0))) = composition(top,esk1_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).

cnf(c_0_120,plain,
    converse(composition(top,X1)) = composition(converse(X1),top),
    inference(spm,[status(thm)],[c_0_21,c_0_75]) ).

cnf(c_0_121,plain,
    join(complement(composition(converse(X1),X2)),composition(X3,complement(composition(converse(composition(X1,X3)),X2)))) = complement(composition(converse(X1),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_21]),c_0_115]),c_0_21]) ).

cnf(c_0_122,plain,
    composition(top,top) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_95]),c_0_104]) ).

cnf(c_0_123,plain,
    join(X1,composition(top,X1)) = composition(top,X1),
    inference(spm,[status(thm)],[c_0_99,c_0_57]) ).

cnf(c_0_124,plain,
    converse(complement(converse(zero))) = top,
    inference(spm,[status(thm)],[c_0_117,c_0_67]) ).

cnf(c_0_125,plain,
    composition(join(X1,converse(X2)),complement(composition(join(converse(X1),X2),top))) = zero,
    inference(spm,[status(thm)],[c_0_74,c_0_54]) ).

cnf(c_0_126,negated_conjecture,
    join(esk1_0,converse(composition(complement(esk1_0),composition(top,esk1_0)))) = composition(esk1_0,top),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_112]) ).

cnf(c_0_127,plain,
    composition(top,complement(composition(top,X1))) = complement(composition(top,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_75]),c_0_75]),c_0_123]),c_0_75]) ).

cnf(c_0_128,plain,
    complement(converse(zero)) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_124]),c_0_75]) ).

cnf(c_0_129,negated_conjecture,
    converse(composition(esk1_0,X1)) = composition(converse(X1),esk1_0),
    inference(spm,[status(thm)],[c_0_21,c_0_112]) ).

cnf(c_0_130,negated_conjecture,
    composition(esk1_0,complement(composition(top,composition(esk1_0,top)))) = zero,
    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_125,c_0_126]),c_0_112]),c_0_119]),c_0_115]),c_0_115]),c_0_127]) ).

cnf(c_0_131,plain,
    converse(zero) = zero,
    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_49,c_0_128]),c_0_68]),c_0_50]),c_0_68]),c_0_50]),c_0_67]) ).

cnf(c_0_132,plain,
    join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
    inference(spm,[status(thm)],[c_0_49,c_0_64]) ).

cnf(c_0_133,negated_conjecture,
    join(esk1_0,converse(complement(esk1_0))) = top,
    inference(spm,[status(thm)],[c_0_117,c_0_112]) ).

cnf(c_0_134,negated_conjecture,
    composition(converse(complement(composition(top,composition(esk1_0,top)))),esk1_0) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).

cnf(c_0_135,plain,
    complement(join(complement(X1),complement(converse(complement(converse(complement(X1))))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_117]),c_0_50]),c_0_67]) ).

cnf(c_0_136,negated_conjecture,
    complement(join(esk1_0,complement(converse(complement(esk1_0))))) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_50]),c_0_67]) ).

cnf(c_0_137,negated_conjecture,
    complement(join(complement(esk1_0),composition(top,composition(esk1_0,top)))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_134]),c_0_64]),c_0_102]),c_0_57]),c_0_50]),c_0_103]),c_0_102]),c_0_31]),c_0_52]),c_0_50]),c_0_104]),c_0_102]),c_0_57]),c_0_50]),c_0_103]),c_0_102]),c_0_31]),c_0_52]),c_0_50]),c_0_31]) ).

cnf(c_0_138,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_77]),c_0_31]) ).

cnf(c_0_139,negated_conjecture,
    join(esk1_0,complement(converse(complement(esk1_0)))) = esk1_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_135]) ).

cnf(c_0_140,plain,
    join(complement(X1),composition(converse(X2),composition(X3,complement(composition(converse(X3),composition(X2,X1)))))) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_21]),c_0_115]),c_0_115]) ).

cnf(c_0_141,negated_conjecture,
    composition(esk1_0,complement(composition(esk1_0,top))) = zero,
    inference(spm,[status(thm)],[c_0_74,c_0_112]) ).

cnf(c_0_142,plain,
    join(composition(X1,X2),composition(X3,composition(X4,X2))) = composition(join(X1,composition(X3,X4)),X2),
    inference(spm,[status(thm)],[c_0_81,c_0_115]) ).

cnf(c_0_143,plain,
    join(X1,composition(X1,top)) = composition(X1,top),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_123]),c_0_89]),c_0_75]),c_0_89]),c_0_75]) ).

cnf(c_0_144,negated_conjecture,
    join(complement(esk1_0),composition(top,composition(esk1_0,top))) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_137]),c_0_37]),c_0_104]) ).

cnf(c_0_145,negated_conjecture,
    join(complement(esk1_0),converse(complement(esk1_0))) = converse(complement(esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_31]) ).

cnf(c_0_146,plain,
    join(X1,join(complement(X1),X2)) = top,
    inference(rw,[status(thm)],[c_0_45,c_0_68]) ).

cnf(c_0_147,negated_conjecture,
    join(esk1_0,composition(complement(esk1_0),esk1_0)) = composition(top,esk1_0),
    inference(spm,[status(thm)],[c_0_113,c_0_38]) ).

cnf(c_0_148,negated_conjecture,
    converse(composition(X1,esk1_0)) = composition(esk1_0,converse(X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_112]) ).

cnf(c_0_149,negated_conjecture,
    composition(join(esk1_0,composition(esk1_0,X1)),top) = composition(esk1_0,top),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_64]),c_0_112]),c_0_103]),c_0_102]),c_0_142]),c_0_64]) ).

cnf(c_0_150,negated_conjecture,
    join(esk1_0,composition(esk1_0,composition(top,esk1_0))) = composition(esk1_0,composition(top,esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_143]),c_0_115]),c_0_115]) ).

cnf(c_0_151,negated_conjecture,
    complement(join(complement(esk1_0),complement(composition(top,composition(esk1_0,top))))) = esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_144]),c_0_50]),c_0_67]),c_0_64]) ).

cnf(c_0_152,negated_conjecture,
    converse(complement(esk1_0)) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_145]),c_0_19]),c_0_31]),c_0_145]) ).

cnf(c_0_153,plain,
    complement(join(complement(X1),complement(join(X1,X2)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_146]),c_0_50]),c_0_64]),c_0_67]) ).

cnf(c_0_154,negated_conjecture,
    join(esk1_0,composition(esk1_0,converse(complement(esk1_0)))) = composition(esk1_0,top),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_147]),c_0_120]),c_0_112]),c_0_148]) ).

cnf(c_0_155,plain,
    join(complement(join(complement(one),complement(composition(X1,X2)))),complement(join(complement(one),complement(composition(X1,complement(join(complement(X2),complement(converse(X1))))))))) = complement(join(complement(one),complement(composition(X1,complement(join(complement(X2),complement(converse(X1)))))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_22]),c_0_31]) ).

cnf(c_0_156,negated_conjecture,
    composition(esk1_0,composition(top,composition(esk1_0,top))) = composition(esk1_0,top),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_115]),c_0_115]) ).

cnf(c_0_157,negated_conjecture,
    join(complement(esk1_0),complement(composition(top,composition(esk1_0,top)))) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_151]),c_0_112]),c_0_152]),c_0_64]),c_0_86]) ).

cnf(c_0_158,negated_conjecture,
    complement(join(complement(esk1_0),complement(composition(esk1_0,top)))) = esk1_0,
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_159,negated_conjecture,
    meet(complement(composition(esk1_0,top)),one) != meet(complement(esk1_0),one),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_160,plain,
    join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
    inference(spm,[status(thm)],[c_0_31,c_0_37]) ).

cnf(c_0_161,negated_conjecture,
    join(esk1_0,complement(join(complement(one),complement(composition(esk1_0,top))))) = 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(spm,[status(thm)],[c_0_155,c_0_156]),c_0_112]),c_0_31]),c_0_157]),c_0_64]),c_0_109]),c_0_92]),c_0_64]),c_0_112]),c_0_31]),c_0_157]),c_0_64]),c_0_109]),c_0_92]),c_0_64]),c_0_31]) ).

cnf(c_0_162,negated_conjecture,
    join(complement(esk1_0),complement(composition(esk1_0,top))) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_158]),c_0_37]),c_0_100]) ).

cnf(c_0_163,negated_conjecture,
    complement(join(complement(complement(composition(esk1_0,top))),complement(one))) != complement(join(complement(complement(esk1_0)),complement(one))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_36]),c_0_36]) ).

cnf(c_0_164,plain,
    join(complement(X1),complement(join(complement(X1),join(complement(X2),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
    inference(rw,[status(thm)],[c_0_56,c_0_160]) ).

cnf(c_0_165,negated_conjecture,
    join(complement(one),complement(composition(esk1_0,top))) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_161]),c_0_37]),c_0_31]),c_0_162]),c_0_92]) ).

cnf(c_0_166,negated_conjecture,
    complement(join(complement(one),complement(complement(composition(esk1_0,top))))) != complement(join(complement(one),complement(complement(esk1_0)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_31]),c_0_31]) ).

cnf(c_0_167,plain,
    join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
    inference(spm,[status(thm)],[c_0_77,c_0_64]) ).

cnf(c_0_168,negated_conjecture,
    join(complement(one),complement(join(complement(one),composition(esk1_0,top)))) = complement(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_64]),c_0_64]),c_0_31]),c_0_143]) ).

cnf(c_0_169,negated_conjecture,
    complement(join(complement(one),composition(esk1_0,top))) != complement(join(esk1_0,complement(one))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_64]),c_0_64]),c_0_31]) ).

cnf(c_0_170,negated_conjecture,
    join(complement(one),composition(esk1_0,top)) = 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(spm,[status(thm)],[c_0_167,c_0_168]),c_0_64]),c_0_64]),c_0_31]),c_0_100]),c_0_64]) ).

cnf(c_0_171,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : REL027+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n017.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  : 600
% 0.13/0.34  % DateTime : Fri Jul  8 10:20:46 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.24/1.43  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/1.43  # Preprocessing time       : 0.014 s
% 0.24/1.43  
% 0.24/1.43  # Proof found!
% 0.24/1.43  # SZS status Theorem
% 0.24/1.43  # SZS output start CNFRefutation
% See solution above
% 0.24/1.43  # Proof object total steps             : 172
% 0.24/1.43  # Proof object clause steps            : 139
% 0.24/1.43  # Proof object formula steps           : 33
% 0.24/1.43  # Proof object conjectures             : 55
% 0.24/1.43  # Proof object clause conjectures      : 52
% 0.24/1.43  # Proof object formula conjectures     : 3
% 0.24/1.43  # Proof object initial clauses used    : 17
% 0.24/1.43  # Proof object initial formulas used   : 16
% 0.24/1.43  # Proof object generating inferences   : 96
% 0.24/1.43  # Proof object simplifying inferences  : 237
% 0.24/1.43  # Training examples: 0 positive, 0 negative
% 0.24/1.43  # Parsed axioms                        : 17
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.43  # Initial clauses                      : 18
% 0.24/1.43  # Removed in clause preprocessing      : 1
% 0.24/1.43  # Initial clauses in saturation        : 17
% 0.24/1.43  # Processed clauses                    : 1695
% 0.24/1.43  # ...of these trivial                  : 898
% 0.24/1.43  # ...subsumed                          : 56
% 0.24/1.43  # ...remaining for further processing  : 741
% 0.24/1.43  # Other redundant clauses eliminated   : 0
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 0
% 0.24/1.43  # Backward-rewritten                   : 358
% 0.24/1.43  # Generated clauses                    : 45821
% 0.24/1.43  # ...of the previous two non-trivial   : 32477
% 0.24/1.43  # Contextual simplify-reflections      : 0
% 0.24/1.43  # Paramodulations                      : 45821
% 0.24/1.43  # Factorizations                       : 0
% 0.24/1.43  # Equation resolutions                 : 0
% 0.24/1.43  # Current number of processed clauses  : 383
% 0.24/1.43  #    Positive orientable unit clauses  : 378
% 0.24/1.43  #    Positive unorientable unit clauses: 5
% 0.24/1.43  #    Negative unit clauses             : 0
% 0.24/1.43  #    Non-unit-clauses                  : 0
% 0.24/1.43  # Current number of unprocessed clauses: 22759
% 0.24/1.43  # ...number of literals in the above   : 22759
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 359
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 0
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 0
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.43  # Unit Clause-clause subsumption calls : 45
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 4931
% 0.24/1.43  # BW rewrite match successes           : 220
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 1525881
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.661 s
% 0.24/1.43  # System time              : 0.028 s
% 0.24/1.43  # Total time               : 0.689 s
% 0.24/1.43  # Maximum resident set size: 48752 pages
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------