TSTP Solution File: REL044+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : REL044+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 19:20:26 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   99 (  96 unt;   0 def)
%            Number of atoms       :  102 ( 101 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  137 (   6 sgn  62   !;   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(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(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(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(def_top,axiom,
    ! [X1] : top = join(X1,complement(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).

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(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(goals,conjecture,
    ! [X1,X2,X3] :
      ( join(composition(complement(X1),X2),complement(X3)) = complement(X3)
     => join(composition(X3,converse(X2)),X1) = X1 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).

fof(modular_law_2,axiom,
    ! [X1,X2,X3] : join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+1.ax',modular_law_2) ).

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_15,plain,
    ! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
    inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).

fof(c_0_16,plain,
    ! [X2] : converse(converse(X2)) = X2,
    inference(variable_rename,[status(thm)],[converse_idempotence]) ).

cnf(c_0_17,plain,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,plain,
    converse(converse(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_19,plain,
    ! [X2] : composition(X2,one) = X2,
    inference(variable_rename,[status(thm)],[composition_identity]) ).

cnf(c_0_20,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    composition(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_22,plain,
    ! [X2] : zero = meet(X2,complement(X2)),
    inference(variable_rename,[status(thm)],[def_zero]) ).

fof(c_0_23,plain,
    ! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
    inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).

fof(c_0_24,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_25,plain,
    ! [X3,X4] : join(X3,X4) = join(X4,X3),
    inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).

cnf(c_0_26,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_18]) ).

fof(c_0_27,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_28,plain,
    zero = meet(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_30,plain,
    ! [X2] : top = join(X2,complement(X2)),
    inference(variable_rename,[status(thm)],[def_top]) ).

fof(c_0_31,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_32,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,plain,
    join(X1,X2) = join(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_21,c_0_26]) ).

cnf(c_0_35,plain,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,plain,
    zero = complement(join(complement(X1),complement(complement(X1)))),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,plain,
    top = join(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_26,c_0_34]) ).

cnf(c_0_41,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_35,c_0_33]) ).

cnf(c_0_42,plain,
    complement(top) = zero,
    inference(rw,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,plain,
    join(X1,join(X2,complement(join(X1,X2)))) = top,
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,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_34]),c_0_40]) ).

cnf(c_0_45,plain,
    join(complement(join(top,complement(X1))),complement(join(zero,complement(X1)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_33]),c_0_33]) ).

cnf(c_0_46,plain,
    join(top,complement(X1)) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_37]),c_0_33]) ).

cnf(c_0_47,plain,
    join(zero,complement(join(complement(X1),complement(X1)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_37]),c_0_42]),c_0_33]) ).

cnf(c_0_48,plain,
    join(zero,complement(join(zero,complement(X1)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_42]) ).

cnf(c_0_49,plain,
    join(zero,complement(complement(X1))) = X1,
    inference(rw,[status(thm)],[c_0_47,c_0_44]) ).

fof(c_0_50,plain,
    ! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
    inference(variable_rename,[status(thm)],[converse_additivity]) ).

cnf(c_0_51,plain,
    join(zero,complement(X1)) = complement(X1),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_52,plain,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_53,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_51]),c_0_51]) ).

cnf(c_0_54,plain,
    converse(join(converse(X1),X2)) = join(X1,converse(X2)),
    inference(spm,[status(thm)],[c_0_52,c_0_18]) ).

cnf(c_0_55,plain,
    join(X1,top) = top,
    inference(spm,[status(thm)],[c_0_43,c_0_46]) ).

fof(c_0_56,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( join(composition(complement(X1),X2),complement(X3)) = complement(X3)
       => join(composition(X3,converse(X2)),X1) = X1 ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_57,plain,
    join(zero,composition(converse(X1),complement(composition(X1,top)))) = zero,
    inference(spm,[status(thm)],[c_0_39,c_0_42]) ).

cnf(c_0_58,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_51,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_37]) ).

cnf(c_0_60,plain,
    join(top,X1) = top,
    inference(spm,[status(thm)],[c_0_33,c_0_55]) ).

cnf(c_0_61,plain,
    join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = top,
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

fof(c_0_62,plain,
    ! [X4,X5,X6] : join(meet(composition(X4,X5),X6),meet(composition(meet(X4,composition(X6,converse(X5))),X5),X6)) = meet(composition(meet(X4,composition(X6,converse(X5))),X5),X6),
    inference(variable_rename,[status(thm)],[modular_law_2]) ).

fof(c_0_63,negated_conjecture,
    ( join(composition(complement(esk1_0),esk2_0),complement(esk3_0)) = complement(esk3_0)
    & join(composition(esk3_0,converse(esk2_0)),esk1_0) != esk1_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).

fof(c_0_64,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_65,plain,
    composition(converse(X1),complement(composition(X1,top))) = zero,
    inference(rw,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_66,plain,
    converse(top) = top,
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_67,plain,
    join(complement(converse(top)),complement(join(zero,complement(converse(complement(converse(zero))))))) = top,
    inference(spm,[status(thm)],[c_0_61,c_0_59]) ).

cnf(c_0_68,plain,
    join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    join(composition(complement(esk1_0),esk2_0),complement(esk3_0)) = complement(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

fof(c_0_70,plain,
    ! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
    inference(variable_rename,[status(thm)],[composition_associativity]) ).

cnf(c_0_71,plain,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_72,plain,
    composition(top,complement(composition(top,top))) = zero,
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,plain,
    converse(complement(converse(zero))) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_66]),c_0_42]),c_0_48]) ).

cnf(c_0_74,plain,
    join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3)))) = complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]) ).

cnf(c_0_75,negated_conjecture,
    join(complement(esk3_0),composition(complement(esk1_0),esk2_0)) = complement(esk3_0),
    inference(rw,[status(thm)],[c_0_69,c_0_33]) ).

cnf(c_0_76,plain,
    composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_77,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_71,c_0_72]),c_0_58]),c_0_60]),c_0_72]) ).

cnf(c_0_78,plain,
    complement(converse(zero)) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_73]),c_0_66]) ).

cnf(c_0_79,plain,
    join(zero,zero) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_40]),c_0_34]),c_0_42]),c_0_40]) ).

cnf(c_0_80,plain,
    join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2))))) = complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_33]),c_0_33]) ).

cnf(c_0_81,negated_conjecture,
    join(complement(esk3_0),join(composition(complement(esk1_0),esk2_0),X1)) = join(complement(esk3_0),X1),
    inference(spm,[status(thm)],[c_0_38,c_0_75]) ).

cnf(c_0_82,plain,
    composition(X1,zero) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_77]) ).

cnf(c_0_83,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_41,c_0_78]),c_0_60]),c_0_42]),c_0_60]),c_0_42]),c_0_79]) ).

cnf(c_0_84,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_44,c_0_53]) ).

cnf(c_0_85,plain,
    join(complement(join(complement(composition(X1,converse(X2))),complement(X3))),complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,X2)))),converse(X2)))))) = complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,X2)))),converse(X2))))),
    inference(spm,[status(thm)],[c_0_80,c_0_18]) ).

cnf(c_0_86,negated_conjecture,
    join(complement(esk3_0),complement(composition(complement(esk1_0),esk2_0))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_37]),c_0_55]) ).

cnf(c_0_87,plain,
    composition(zero,X1) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_82]),c_0_83]),c_0_83]) ).

cnf(c_0_88,plain,
    complement(zero) = top,
    inference(rw,[status(thm)],[c_0_78,c_0_83]) ).

cnf(c_0_89,plain,
    join(X1,zero) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_84]),c_0_53]),c_0_37]),c_0_42]) ).

cnf(c_0_90,negated_conjecture,
    complement(join(esk1_0,complement(composition(esk3_0,converse(esk2_0))))) = 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(spm,[status(thm)],[c_0_85,c_0_86]),c_0_53]),c_0_53]),c_0_42]),c_0_87]),c_0_88]),c_0_55]),c_0_42]),c_0_89]),c_0_53]),c_0_42]),c_0_87]),c_0_88]),c_0_55]),c_0_42]),c_0_33]) ).

cnf(c_0_91,plain,
    join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
    inference(spm,[status(thm)],[c_0_41,c_0_33]) ).

cnf(c_0_92,negated_conjecture,
    join(esk1_0,complement(composition(esk3_0,converse(esk2_0)))) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_90]),c_0_38]),c_0_89]) ).

cnf(c_0_93,negated_conjecture,
    complement(join(complement(esk1_0),complement(composition(esk3_0,converse(esk2_0))))) = composition(esk3_0,converse(esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_42]),c_0_58]),c_0_33]) ).

cnf(c_0_94,negated_conjecture,
    join(composition(esk3_0,converse(esk2_0)),esk1_0) != esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_95,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_38,c_0_84]) ).

cnf(c_0_96,negated_conjecture,
    join(composition(esk3_0,converse(esk2_0)),complement(join(complement(esk1_0),composition(esk3_0,converse(esk2_0))))) = esk1_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_93]),c_0_53]) ).

cnf(c_0_97,negated_conjecture,
    join(esk1_0,composition(esk3_0,converse(esk2_0))) != esk1_0,
    inference(rw,[status(thm)],[c_0_94,c_0_33]) ).

cnf(c_0_98,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_33]),c_0_97]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : REL044+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jul  8 10:23:56 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/1.43  # Preprocessing time       : 0.014 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 99
% 0.25/1.43  # Proof object clause steps            : 68
% 0.25/1.43  # Proof object formula steps           : 31
% 0.25/1.43  # Proof object conjectures             : 14
% 0.25/1.43  # Proof object clause conjectures      : 11
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 16
% 0.25/1.43  # Proof object initial formulas used   : 15
% 0.25/1.43  # Proof object generating inferences   : 37
% 0.25/1.43  # Proof object simplifying inferences  : 75
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 17
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.43  # Initial clauses                      : 18
% 0.25/1.43  # Removed in clause preprocessing      : 1
% 0.25/1.43  # Initial clauses in saturation        : 17
% 0.25/1.43  # Processed clauses                    : 529
% 0.25/1.43  # ...of these trivial                  : 223
% 0.25/1.43  # ...subsumed                          : 22
% 0.25/1.43  # ...remaining for further processing  : 284
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 158
% 0.25/1.43  # Generated clauses                    : 8440
% 0.25/1.43  # ...of the previous two non-trivial   : 6525
% 0.25/1.43  # Contextual simplify-reflections      : 0
% 0.25/1.43  # Paramodulations                      : 8440
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 126
% 0.25/1.43  #    Positive orientable unit clauses  : 122
% 0.25/1.43  #    Positive unorientable unit clauses: 3
% 0.25/1.43  #    Negative unit clauses             : 1
% 0.25/1.43  #    Non-unit-clauses                  : 0
% 0.25/1.43  # Current number of unprocessed clauses: 3553
% 0.25/1.43  # ...number of literals in the above   : 3553
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 159
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 0
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 0
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.43  # Unit Clause-clause subsumption calls : 16
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 1524
% 0.25/1.43  # BW rewrite match successes           : 138
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 270275
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.161 s
% 0.25/1.43  # System time              : 0.005 s
% 0.25/1.43  # Total time               : 0.166 s
% 0.25/1.43  # Maximum resident set size: 11004 pages
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.43  eprover: CPU time limit exceeded, terminating
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------