TSTP Solution File: REL041+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : REL041+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n013.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 19:20:10 EDT 2022

% Result   : Theorem 1.20s 209.37s
% Output   : CNFRefutation 1.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  109 ( 106 unt;   0 def)
%            Number of atoms       :  112 ( 111 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 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   :  180 (  12 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(def_top,axiom,
    ! [X1] : top = join(X1,complement(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).

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

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_14,plain,
    ! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
    inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).

fof(c_0_15,plain,
    ! [X2] : composition(X2,one) = X2,
    inference(variable_rename,[status(thm)],[composition_identity]) ).

cnf(c_0_16,plain,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

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

fof(c_0_18,plain,
    ! [X2] : converse(converse(X2)) = X2,
    inference(variable_rename,[status(thm)],[converse_idempotence]) ).

cnf(c_0_19,plain,
    composition(converse(one),converse(X1)) = converse(X1),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    converse(converse(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_21,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_22,plain,
    ! [X3,X4] : join(X3,X4) = join(X4,X3),
    inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).

cnf(c_0_23,plain,
    composition(converse(one),X1) = X1,
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_24,plain,
    ! [X2] : zero = meet(X2,complement(X2)),
    inference(variable_rename,[status(thm)],[def_zero]) ).

fof(c_0_25,plain,
    ! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
    inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).

cnf(c_0_26,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,plain,
    join(X1,X2) = join(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_17,c_0_23]) ).

cnf(c_0_29,plain,
    zero = meet(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_31,plain,
    ! [X2] : top = join(X2,complement(X2)),
    inference(variable_rename,[status(thm)],[def_top]) ).

cnf(c_0_32,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_33,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_23,c_0_28]) ).

cnf(c_0_34,plain,
    zero = complement(join(complement(X1),complement(complement(X1)))),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    top = join(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_36,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]) ).

fof(c_0_37,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_38,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_28]),c_0_33]) ).

cnf(c_0_39,plain,
    complement(top) = zero,
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_40,plain,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,plain,
    join(zero,zero) = zero,
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_40,c_0_27]) ).

cnf(c_0_44,plain,
    join(zero,join(zero,X1)) = join(zero,X1),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,plain,
    join(zero,complement(complement(X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_35]),c_0_39]),c_0_27]) ).

cnf(c_0_46,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_47,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_48,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_38,c_0_47]) ).

fof(c_0_49,plain,
    ! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
    inference(variable_rename,[status(thm)],[converse_additivity]) ).

cnf(c_0_50,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_41,c_0_48]) ).

fof(c_0_51,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_52,plain,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_53,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_27]) ).

cnf(c_0_54,plain,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_55,plain,
    join(converse(zero),converse(X1)) = converse(X1),
    inference(spm,[status(thm)],[c_0_52,c_0_46]) ).

cnf(c_0_56,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(pm,[status(thm)],[c_0_53,c_0_27]) ).

cnf(c_0_57,plain,
    join(composition(zero,X1),composition(X2,X1)) = composition(X2,X1),
    inference(spm,[status(thm)],[c_0_54,c_0_46]) ).

cnf(c_0_58,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_27,c_0_46]) ).

cnf(c_0_59,plain,
    join(converse(zero),X1) = X1,
    inference(spm,[status(thm)],[c_0_55,c_0_20]) ).

cnf(c_0_60,plain,
    composition(converse(X1),join(converse(X2),converse(X3))) = join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_54]),c_0_52]),c_0_16]),c_0_16]),c_0_52]) ).

cnf(c_0_61,plain,
    join(X1,join(complement(join(X2,complement(X1))),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_41,c_0_56]) ).

cnf(c_0_62,plain,
    join(X1,composition(zero,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_33]),c_0_27]) ).

cnf(c_0_63,plain,
    converse(zero) = zero,
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,plain,
    join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_41,c_0_27]),c_0_41]) ).

cnf(c_0_65,plain,
    composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
    inference(spm,[status(thm)],[c_0_60,c_0_20]) ).

cnf(c_0_66,plain,
    join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_43]),c_0_47]) ).

fof(c_0_67,negated_conjecture,
    ~ ! [X1] :
        ( join(composition(converse(X1),X1),one) = one
       => ! [X2] : meet(composition(X1,X2),composition(X1,complement(X2))) = zero ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_68,plain,
    join(converse(X1),composition(converse(X1),zero)) = converse(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_62]),c_0_16]),c_0_63]) ).

fof(c_0_69,plain,
    ! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
    inference(variable_rename,[status(thm)],[composition_associativity]) ).

cnf(c_0_70,plain,
    join(composition(zero,X1),join(X2,composition(X3,X1))) = join(X2,composition(X3,X1)),
    inference(spm,[status(thm)],[c_0_64,c_0_57]) ).

cnf(c_0_71,plain,
    join(X1,composition(converse(X2),complement(composition(X2,complement(X1))))) = X1,
    inference(spm,[status(thm)],[c_0_32,c_0_47]) ).

cnf(c_0_72,plain,
    composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
    inference(spm,[status(thm)],[c_0_65,c_0_20]) ).

cnf(c_0_73,plain,
    join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
    inference(spm,[status(thm)],[c_0_66,c_0_47]) ).

fof(c_0_74,negated_conjecture,
    ( join(composition(converse(esk1_0),esk1_0),one) = one
    & meet(composition(esk1_0,esk2_0),composition(esk1_0,complement(esk2_0))) != zero ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])])]) ).

cnf(c_0_75,plain,
    join(X1,composition(X1,zero)) = X1,
    inference(spm,[status(thm)],[c_0_68,c_0_20]) ).

cnf(c_0_76,plain,
    composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_77,plain,
    complement(zero) = top,
    inference(spm,[status(thm)],[c_0_35,c_0_46]) ).

cnf(c_0_78,plain,
    join(X1,composition(zero,complement(composition(X2,complement(X1))))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_27]) ).

cnf(c_0_79,plain,
    composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
    inference(spm,[status(thm)],[c_0_72,c_0_20]) ).

cnf(c_0_80,plain,
    join(composition(X1,X2),composition(complement(join(X3,X1)),X2)) = join(composition(X1,X2),composition(complement(X3),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_73]),c_0_54]) ).

cnf(c_0_81,negated_conjecture,
    join(composition(converse(esk1_0),esk1_0),one) = one,
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_82,plain,
    join(composition(X1,X2),composition(X1,composition(zero,X2))) = composition(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_75]),c_0_76]) ).

cnf(c_0_83,plain,
    composition(converse(X1),complement(composition(X1,top))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_71]),c_0_77]) ).

cnf(c_0_84,plain,
    composition(zero,complement(composition(X1,top))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_78]),c_0_77]) ).

cnf(c_0_85,plain,
    join(X1,join(composition(converse(X2),complement(composition(X2,complement(X1)))),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_41,c_0_71]) ).

cnf(c_0_86,plain,
    join(composition(X1,X2),composition(X1,complement(join(X3,complement(X2))))) = composition(X1,X2),
    inference(spm,[status(thm)],[c_0_79,c_0_56]) ).

cnf(c_0_87,plain,
    join(X1,composition(complement(join(X2,one)),X1)) = join(X1,composition(complement(X2),X1)),
    inference(spm,[status(thm)],[c_0_80,c_0_33]) ).

cnf(c_0_88,plain,
    join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
    inference(pm,[status(thm)],[c_0_73,c_0_27]) ).

cnf(c_0_89,negated_conjecture,
    join(one,composition(converse(esk1_0),esk1_0)) = one,
    inference(rw,[status(thm)],[c_0_81,c_0_27]) ).

cnf(c_0_90,plain,
    composition(converse(X1),zero) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_46]) ).

cnf(c_0_91,plain,
    join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
    inference(spm,[status(thm)],[c_0_43,c_0_47]) ).

cnf(c_0_92,plain,
    join(X1,composition(converse(X2),complement(join(X3,composition(X2,complement(X1)))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_71]),c_0_47]) ).

cnf(c_0_93,plain,
    join(X1,composition(complement(join(one,X2)),X1)) = join(X1,composition(complement(X2),X1)),
    inference(pm,[status(thm)],[c_0_87,c_0_27]) ).

cnf(c_0_94,negated_conjecture,
    join(one,complement(composition(converse(esk1_0),esk1_0))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_35]) ).

cnf(c_0_95,plain,
    composition(zero,X1) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_90]),c_0_63]),c_0_63]),c_0_20]) ).

cnf(c_0_96,plain,
    join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
    inference(pm,[status(thm)],[c_0_91,c_0_27]) ).

cnf(c_0_97,plain,
    join(complement(X1),composition(converse(X2),complement(join(X3,composition(X2,X1))))) = complement(X1),
    inference(spm,[status(thm)],[c_0_92,c_0_47]) ).

cnf(c_0_98,negated_conjecture,
    join(X1,composition(converse(esk1_0),composition(esk1_0,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_93,c_0_94]),c_0_39]),c_0_95]),c_0_58]),c_0_47]),c_0_76]) ).

cnf(c_0_99,negated_conjecture,
    meet(composition(esk1_0,esk2_0),composition(esk1_0,complement(esk2_0))) != zero,
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_100,plain,
    join(complement(join(X1,X2)),complement(join(complement(X1),X2))) = complement(X2),
    inference(pm,[status(thm)],[c_0_96,c_0_27]) ).

cnf(c_0_101,negated_conjecture,
    join(complement(composition(esk1_0,X1)),composition(esk1_0,complement(X1))) = complement(composition(esk1_0,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_20]) ).

cnf(c_0_102,plain,
    join(composition(X1,X2),composition(X1,complement(X2))) = composition(X1,top),
    inference(spm,[status(thm)],[c_0_79,c_0_35]) ).

cnf(c_0_103,plain,
    join(X1,top) = top,
    inference(spm,[status(thm)],[c_0_50,c_0_35]) ).

cnf(c_0_104,negated_conjecture,
    complement(join(complement(composition(esk1_0,esk2_0)),complement(composition(esk1_0,complement(esk2_0))))) != zero,
    inference(rw,[status(thm)],[c_0_99,c_0_30]) ).

cnf(c_0_105,negated_conjecture,
    complement(composition(esk1_0,complement(X1))) = join(composition(esk1_0,X1),complement(composition(esk1_0,top))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_47]),c_0_47]),c_0_102]) ).

cnf(c_0_106,plain,
    join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
    inference(spm,[status(thm)],[c_0_27,c_0_41]) ).

cnf(c_0_107,plain,
    join(X1,join(X2,complement(X1))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_35]),c_0_103]) ).

cnf(c_0_108,negated_conjecture,
    $false,
    inference(cn,[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_104,c_0_105]),c_0_27]),c_0_106]),c_0_27]),c_0_107]),c_0_39])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : REL041+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jul  8 07:11:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.32/23.39  eprover: CPU time limit exceeded, terminating
% 0.32/23.39  eprover: CPU time limit exceeded, terminating
% 0.32/23.40  eprover: CPU time limit exceeded, terminating
% 0.32/23.40  eprover: CPU time limit exceeded, terminating
% 0.42/46.41  eprover: CPU time limit exceeded, terminating
% 0.42/46.41  eprover: CPU time limit exceeded, terminating
% 0.42/46.41  eprover: CPU time limit exceeded, terminating
% 0.42/46.43  eprover: CPU time limit exceeded, terminating
% 0.54/69.42  eprover: CPU time limit exceeded, terminating
% 0.54/69.43  eprover: CPU time limit exceeded, terminating
% 0.54/69.44  eprover: CPU time limit exceeded, terminating
% 0.54/69.46  eprover: CPU time limit exceeded, terminating
% 0.66/92.44  eprover: CPU time limit exceeded, terminating
% 0.66/92.45  eprover: CPU time limit exceeded, terminating
% 0.66/92.46  eprover: CPU time limit exceeded, terminating
% 0.66/92.47  eprover: CPU time limit exceeded, terminating
% 0.76/115.47  eprover: CPU time limit exceeded, terminating
% 0.76/115.47  eprover: CPU time limit exceeded, terminating
% 0.76/115.48  eprover: CPU time limit exceeded, terminating
% 0.76/115.50  eprover: CPU time limit exceeded, terminating
% 0.86/138.49  eprover: CPU time limit exceeded, terminating
% 0.86/138.50  eprover: CPU time limit exceeded, terminating
% 0.86/138.51  eprover: CPU time limit exceeded, terminating
% 0.86/138.51  eprover: CPU time limit exceeded, terminating
% 0.97/161.51  eprover: CPU time limit exceeded, terminating
% 0.97/161.53  eprover: CPU time limit exceeded, terminating
% 0.97/161.54  eprover: CPU time limit exceeded, terminating
% 0.97/161.55  eprover: CPU time limit exceeded, terminating
% 1.08/184.53  eprover: CPU time limit exceeded, terminating
% 1.08/184.56  eprover: CPU time limit exceeded, terminating
% 1.08/184.57  eprover: CPU time limit exceeded, terminating
% 1.08/184.57  eprover: CPU time limit exceeded, terminating
% 1.20/207.56  eprover: CPU time limit exceeded, terminating
% 1.20/207.58  eprover: CPU time limit exceeded, terminating
% 1.20/207.58  eprover: CPU time limit exceeded, terminating
% 1.20/207.59  eprover: CPU time limit exceeded, terminating
% 1.20/209.37  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.20/209.37  
% 1.20/209.37  # Failure: Resource limit exceeded (time)
% 1.20/209.37  # OLD status Res
% 1.20/209.37  # Preprocessing time       : 0.014 s
% 1.20/209.37  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.20/209.37  
% 1.20/209.37  # Failure: Resource limit exceeded (time)
% 1.20/209.37  # OLD status Res
% 1.20/209.37  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.20/209.37  # Preprocessing time       : 0.008 s
% 1.20/209.37  # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.20/209.37  
% 1.20/209.37  # Failure: Resource limit exceeded (time)
% 1.20/209.37  # OLD status Res
% 1.20/209.37  # Preprocessing time       : 0.007 s
% 1.20/209.37  # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 1.20/209.37  
% 1.20/209.37  # Failure: Resource limit exceeded (time)
% 1.20/209.37  # OLD status Res
% 1.20/209.37  # Preprocessing time       : 0.007 s
% 1.20/209.37  # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 1.20/209.37  
% 1.20/209.37  # Failure: Resource limit exceeded (time)
% 1.20/209.37  # OLD status Res
% 1.20/209.37  # Preprocessing time       : 0.007 s
% 1.20/209.37  # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 1.20/209.37  
% 1.20/209.37  # Failure: Resource limit exceeded (time)
% 1.20/209.37  # OLD status Res
% 1.20/209.37  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.20/209.37  # Preprocessing time       : 0.007 s
% 1.20/209.37  # Running protocol protocol_eprover_e60008599937a0dc787316fd87bf9ff4d65ffb48 for 23 seconds:
% 1.20/209.37  
% 1.20/209.37  # Failure: Resource limit exceeded (time)
% 1.20/209.37  # OLD status Res
% 1.20/209.37  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.20/209.37  # Preprocessing time       : 0.007 s
% 1.20/209.37  # Running protocol protocol_eprover_03d534503f753dd3be02bb3c547fa7a3e34e825e for 23 seconds:
% 1.20/209.37  
% 1.20/209.37  # Failure: Resource limit exceeded (time)
% 1.20/209.37  # OLD status Res
% 1.20/209.37  # Preprocessing time       : 0.007 s
% 1.20/209.37  # Running protocol protocol_eprover_f8481b8ca6e1cbe7ac35251a2832c4c110836158 for 23 seconds:
% 1.20/209.37  
% 1.20/209.37  # Failure: Resource limit exceeded (time)
% 1.20/209.37  # OLD status Res
% 1.20/209.37  # SinE strategy is GSinE(CountFormulas,,1.2,,02,60,1.0)
% 1.20/209.37  # Preprocessing time       : 0.007 s
% 1.20/209.37  # Running protocol protocol_eprover_4692c23f3ccd5aecc2adbd7957ddb4b4144a02c8 for 23 seconds:
% 1.20/209.37  # Preprocessing time       : 0.014 s
% 1.20/209.37  
% 1.20/209.37  # Proof found!
% 1.20/209.37  # SZS status Theorem
% 1.20/209.37  # SZS output start CNFRefutation
% See solution above
% 1.20/209.37  # Proof object total steps             : 109
% 1.20/209.37  # Proof object clause steps            : 80
% 1.20/209.37  # Proof object formula steps           : 29
% 1.20/209.37  # Proof object conjectures             : 12
% 1.20/209.37  # Proof object clause conjectures      : 9
% 1.20/209.37  # Proof object formula conjectures     : 3
% 1.20/209.37  # Proof object initial clauses used    : 15
% 1.20/209.37  # Proof object initial formulas used   : 14
% 1.20/209.37  # Proof object generating inferences   : 56
% 1.20/209.37  # Proof object simplifying inferences  : 53
% 1.20/209.37  # Training examples: 0 positive, 0 negative
% 1.20/209.37  # Parsed axioms                        : 14
% 1.20/209.37  # Removed by relevancy pruning/SinE    : 0
% 1.20/209.37  # Initial clauses                      : 15
% 1.20/209.37  # Removed in clause preprocessing      : 1
% 1.20/209.37  # Initial clauses in saturation        : 14
% 1.20/209.37  # Processed clauses                    : 6211
% 1.20/209.37  # ...of these trivial                  : 3282
% 1.20/209.37  # ...subsumed                          : 2357
% 1.20/209.37  # ...remaining for further processing  : 572
% 1.20/209.37  # Other redundant clauses eliminated   : 0
% 1.20/209.37  # Clauses deleted for lack of memory   : 0
% 1.20/209.37  # Backward-subsumed                    : 0
% 1.20/209.37  # Backward-rewritten                   : 187
% 1.20/209.37  # Generated clauses                    : 107339
% 1.20/209.37  # ...of the previous two non-trivial   : 59940
% 1.20/209.37  # Contextual simplify-reflections      : 0
% 1.20/209.37  # Paramodulations                      : 107339
% 1.20/209.37  # Factorizations                       : 0
% 1.20/209.37  # Equation resolutions                 : 0
% 1.20/209.37  # Current number of processed clauses  : 385
% 1.20/209.37  #    Positive orientable unit clauses  : 380
% 1.20/209.37  #    Positive unorientable unit clauses: 5
% 1.20/209.37  #    Negative unit clauses             : 0
% 1.20/209.37  #    Non-unit-clauses                  : 0
% 1.20/209.37  # Current number of unprocessed clauses: 45170
% 1.20/209.37  # ...number of literals in the above   : 45170
% 1.20/209.37  # Current number of archived formulas  : 0
% 1.20/209.37  # Current number of archived clauses   : 188
% 1.20/209.37  # Clause-clause subsumption calls (NU) : 0
% 1.20/209.37  # Rec. Clause-clause subsumption calls : 0
% 1.20/209.37  # Non-unit clause-clause subsumptions  : 0
% 1.20/209.37  # Unit Clause-clause subsumption calls : 12
% 1.20/209.37  # Rewrite failures with RHS unbound    : 0
% 1.20/209.37  # BW rewrite match attempts            : 4872
% 1.20/209.37  # BW rewrite match successes           : 179
% 1.20/209.37  # Condensation attempts                : 0
% 1.20/209.37  # Condensation successes               : 0
% 1.20/209.37  # Termbank termtop insertions          : 1710991
% 1.20/209.37  
% 1.20/209.37  # -------------------------------------------------
% 1.20/209.37  # User time                : 0.872 s
% 1.20/209.37  # System time              : 0.037 s
% 1.20/209.37  # Total time               : 0.909 s
% 1.20/209.37  # Maximum resident set size: 66696 pages
% 1.20/230.59  eprover: CPU time limit exceeded, terminating
% 1.20/230.60  eprover: CPU time limit exceeded, terminating
% 1.20/230.61  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/230.61  eprover: No such file or directory
% 1.20/230.61  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/230.61  eprover: No such file or directory
% 1.20/230.61  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/230.61  eprover: No such file or directory
% 1.20/230.61  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/230.61  eprover: No such file or directory
% 1.20/230.62  eprover: CPU time limit exceeded, terminating
% 1.20/230.63  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/230.63  eprover: No such file or directory
% 1.20/230.64  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/230.64  eprover: No such file or directory
%------------------------------------------------------------------------------