TSTP Solution File: REL043+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : REL043+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:13:54 EDT 2023

% Result   : Theorem 151.28s 19.69s
% Output   : CNFRefutation 151.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  105 ( 102 unt;   0 def)
%            Number of atoms       :  108 ( 107 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    :    6 (   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   :  169 (  10 sgn;  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',maddux3_a_kind_of_de_Morgan) ).

fof(maddux1_join_commutativity,axiom,
    ! [X1,X2] : join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',maddux1_join_commutativity) ).

fof(def_zero,axiom,
    ! [X1] : zero = meet(X1,complement(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',def_zero) ).

fof(maddux4_definiton_of_meet,axiom,
    ! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    file('/export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',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/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',maddux2_join_associativity) ).

fof(converse_additivity,axiom,
    ! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    file('/export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',converse_additivity) ).

fof(converse_idempotence,axiom,
    ! [X1] : converse(converse(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',converse_idempotence) ).

fof(converse_multiplicativity,axiom,
    ! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',converse_multiplicativity) ).

fof(composition_distributivity,axiom,
    ! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',composition_distributivity) ).

fof(goals,conjecture,
    ! [X1,X2,X3] :
      ( join(composition(X1,converse(X2)),X3) = X3
     => join(composition(complement(X3),X2),complement(X1)) = complement(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',goals) ).

fof(converse_cancellativity,axiom,
    ! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    file('/export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p',converse_cancellativity) ).

fof(c_0_11,plain,
    ! [X7,X8] : X7 = join(complement(join(complement(X7),complement(X8))),complement(join(complement(X7),X8))),
    inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).

fof(c_0_12,plain,
    ! [X13,X14] : join(X13,X14) = join(X14,X13),
    inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).

fof(c_0_13,plain,
    ! [X29] : zero = meet(X29,complement(X29)),
    inference(variable_rename,[status(thm)],[def_zero]) ).

fof(c_0_14,plain,
    ! [X9,X10] : meet(X9,X10) = complement(join(complement(X9),complement(X10))),
    inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).

cnf(c_0_15,plain,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    join(X1,X2) = join(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    zero = meet(X1,complement(X1)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    complement(join(complement(X1),complement(complement(X1)))) = zero,
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

fof(c_0_21,plain,
    ! [X15,X16,X17] : join(X15,join(X16,X17)) = join(join(X15,X16),X17),
    inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).

cnf(c_0_22,plain,
    join(zero,complement(join(complement(X1),complement(X1)))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16]) ).

cnf(c_0_23,plain,
    complement(join(zero,complement(zero))) = zero,
    inference(spm,[status(thm)],[c_0_20,c_0_20]) ).

cnf(c_0_24,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,plain,
    join(zero,complement(join(zero,zero))) = join(zero,complement(zero)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,plain,
    join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_24]) ).

cnf(c_0_27,plain,
    join(zero,join(complement(join(zero,zero)),X1)) = join(zero,join(complement(zero),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_24]) ).

cnf(c_0_28,plain,
    join(zero,join(X1,complement(join(complement(X2),complement(X2))))) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_26,c_0_22]) ).

cnf(c_0_29,plain,
    join(complement(join(zero,zero)),X1) = join(complement(zero),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_28]) ).

cnf(c_0_30,plain,
    join(zero,zero) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_29]),c_0_29]),c_0_19]) ).

cnf(c_0_31,plain,
    join(zero,join(zero,X1)) = join(zero,X1),
    inference(spm,[status(thm)],[c_0_24,c_0_30]) ).

cnf(c_0_32,plain,
    join(zero,X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_22]) ).

cnf(c_0_33,plain,
    complement(join(complement(X1),complement(X1))) = X1,
    inference(rw,[status(thm)],[c_0_22,c_0_32]) ).

cnf(c_0_34,plain,
    join(complement(X1),complement(complement(X1))) = join(zero,complement(zero)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_25]) ).

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

cnf(c_0_36,plain,
    join(complement(X1),complement(complement(X1))) = complement(zero),
    inference(rw,[status(thm)],[c_0_34,c_0_32]) ).

cnf(c_0_37,plain,
    complement(complement(join(X1,X1))) = X1,
    inference(rw,[status(thm)],[c_0_33,c_0_35]) ).

cnf(c_0_38,plain,
    join(X1,complement(X1)) = complement(zero),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_39,plain,
    join(X1,join(complement(X1),X2)) = join(complement(zero),X2),
    inference(spm,[status(thm)],[c_0_24,c_0_38]) ).

cnf(c_0_40,plain,
    join(X1,complement(join(X1,X1))) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_16]) ).

cnf(c_0_41,plain,
    join(complement(zero),complement(X1)) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_40]) ).

cnf(c_0_42,plain,
    join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
    inference(spm,[status(thm)],[c_0_16,c_0_24]) ).

cnf(c_0_43,plain,
    join(complement(zero),X1) = complement(zero),
    inference(spm,[status(thm)],[c_0_41,c_0_37]) ).

cnf(c_0_44,plain,
    join(X1,complement(zero)) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_43]) ).

cnf(c_0_45,plain,
    complement(complement(zero)) = zero,
    inference(rw,[status(thm)],[c_0_23,c_0_32]) ).

cnf(c_0_46,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_16,c_0_32]) ).

cnf(c_0_47,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_44]),c_0_45]),c_0_45]),c_0_46]),c_0_32]) ).

cnf(c_0_48,plain,
    join(X1,X1) = X1,
    inference(rw,[status(thm)],[c_0_37,c_0_47]) ).

cnf(c_0_49,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_48]),c_0_24]),c_0_48]) ).

cnf(c_0_50,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_19]),c_0_16]) ).

cnf(c_0_51,plain,
    join(X1,join(X2,X1)) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_42,c_0_48]) ).

fof(c_0_52,plain,
    ! [X21,X22] : converse(join(X21,X22)) = join(converse(X21),converse(X22)),
    inference(variable_rename,[status(thm)],[converse_additivity]) ).

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

cnf(c_0_54,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_55,plain,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_56,plain,
    converse(converse(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_57,plain,
    join(X1,join(complement(join(X2,complement(X1))),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_24,c_0_54]) ).

cnf(c_0_58,plain,
    converse(join(X1,converse(X2))) = join(converse(X1),X2),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,plain,
    join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_19]),c_0_47]) ).

cnf(c_0_60,plain,
    join(X1,join(X2,complement(join(X1,X2)))) = complement(zero),
    inference(spm,[status(thm)],[c_0_24,c_0_38]) ).

cnf(c_0_61,plain,
    join(converse(complement(zero)),X1) = converse(complement(zero)),
    inference(spm,[status(thm)],[c_0_58,c_0_43]) ).

cnf(c_0_62,plain,
    join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
    inference(spm,[status(thm)],[c_0_59,c_0_47]) ).

cnf(c_0_63,plain,
    join(X1,join(X2,complement(join(X2,X1)))) = complement(zero),
    inference(spm,[status(thm)],[c_0_26,c_0_60]) ).

cnf(c_0_64,plain,
    join(complement(X1),complement(join(X2,X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_54,c_0_47]) ).

cnf(c_0_65,plain,
    converse(join(converse(X1),X2)) = join(X1,converse(X2)),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,plain,
    converse(complement(zero)) = complement(zero),
    inference(spm,[status(thm)],[c_0_44,c_0_61]) ).

fof(c_0_67,plain,
    ! [X26,X27] : converse(composition(X26,X27)) = composition(converse(X27),converse(X26)),
    inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).

cnf(c_0_68,plain,
    join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_47]),c_0_46]),c_0_24]),c_0_16]),c_0_64]) ).

cnf(c_0_69,plain,
    join(X1,converse(complement(converse(X1)))) = complement(zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_38]),c_0_66]) ).

cnf(c_0_70,plain,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

fof(c_0_71,plain,
    ! [X18,X19,X20] : composition(join(X18,X19),X20) = join(composition(X18,X20),composition(X19,X20)),
    inference(variable_rename,[status(thm)],[composition_distributivity]) ).

cnf(c_0_72,plain,
    join(X1,complement(converse(complement(converse(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_47]),c_0_46]) ).

cnf(c_0_73,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_70,c_0_56]) ).

cnf(c_0_74,plain,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

fof(c_0_75,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( join(composition(X1,converse(X2)),X3) = X3
       => join(composition(complement(X3),X2),complement(X1)) = complement(X1) ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_76,plain,
    join(X1,converse(complement(converse(complement(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_72]),c_0_56]),c_0_56]) ).

cnf(c_0_77,plain,
    converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
    inference(spm,[status(thm)],[c_0_55,c_0_73]) ).

cnf(c_0_78,plain,
    join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
    inference(spm,[status(thm)],[c_0_74,c_0_70]) ).

fof(c_0_79,plain,
    ! [X11,X12] : join(composition(converse(X11),complement(composition(X11,X12))),complement(X12)) = complement(X12),
    inference(variable_rename,[status(thm)],[converse_cancellativity]) ).

fof(c_0_80,negated_conjecture,
    ( join(composition(esk1_0,converse(esk2_0)),esk3_0) = esk3_0
    & join(composition(complement(esk3_0),esk2_0),complement(esk1_0)) != complement(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])]) ).

cnf(c_0_81,plain,
    join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
    inference(spm,[status(thm)],[c_0_76,c_0_47]) ).

cnf(c_0_82,plain,
    join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
    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_77,c_0_78]),c_0_55]),c_0_70]),c_0_56]),c_0_56]),c_0_56]) ).

cnf(c_0_83,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_84,plain,
    converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
    inference(spm,[status(thm)],[c_0_70,c_0_56]) ).

cnf(c_0_85,negated_conjecture,
    join(composition(esk1_0,converse(esk2_0)),esk3_0) = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_86,plain,
    complement(converse(complement(converse(X1)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_81]),c_0_47]),c_0_16]),c_0_72]) ).

cnf(c_0_87,plain,
    join(composition(X1,X2),join(X3,composition(X1,X4))) = join(X3,composition(X1,join(X4,X2))),
    inference(spm,[status(thm)],[c_0_42,c_0_82]) ).

cnf(c_0_88,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_83,c_0_16]) ).

cnf(c_0_89,plain,
    converse(join(X1,composition(X2,converse(X3)))) = join(converse(X1),composition(X3,converse(X2))),
    inference(spm,[status(thm)],[c_0_55,c_0_84]) ).

cnf(c_0_90,negated_conjecture,
    join(esk3_0,composition(esk1_0,converse(esk2_0))) = esk3_0,
    inference(rw,[status(thm)],[c_0_85,c_0_16]) ).

cnf(c_0_91,plain,
    converse(complement(converse(X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_47,c_0_86]) ).

cnf(c_0_92,plain,
    join(complement(X1),composition(converse(X2),join(complement(composition(X2,X1)),X3))) = join(composition(converse(X2),X3),complement(X1)),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_93,plain,
    join(converse(X1),join(converse(X2),X3)) = join(converse(join(X1,X2)),X3),
    inference(spm,[status(thm)],[c_0_24,c_0_55]) ).

cnf(c_0_94,negated_conjecture,
    join(converse(esk3_0),composition(esk2_0,converse(esk1_0))) = converse(esk3_0),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_95,plain,
    converse(complement(X1)) = complement(converse(X1)),
    inference(spm,[status(thm)],[c_0_56,c_0_91]) ).

cnf(c_0_96,plain,
    join(complement(X1),composition(converse(X2),complement(join(composition(X2,X1),X3)))) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_50]),c_0_88]),c_0_47]),c_0_16]) ).

cnf(c_0_97,negated_conjecture,
    join(composition(esk2_0,converse(esk1_0)),converse(join(X1,esk3_0))) = converse(join(X1,esk3_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_55]),c_0_16]) ).

cnf(c_0_98,plain,
    composition(converse(X1),complement(converse(X2))) = converse(composition(complement(X2),X1)),
    inference(spm,[status(thm)],[c_0_70,c_0_95]) ).

cnf(c_0_99,plain,
    join(complement(converse(X1)),converse(X2)) = converse(join(complement(X1),X2)),
    inference(spm,[status(thm)],[c_0_55,c_0_95]) ).

cnf(c_0_100,negated_conjecture,
    converse(join(complement(esk1_0),composition(complement(join(X1,esk3_0)),esk2_0))) = complement(converse(esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_99]) ).

cnf(c_0_101,negated_conjecture,
    join(composition(complement(esk3_0),esk2_0),complement(esk1_0)) != complement(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_102,negated_conjecture,
    converse(join(complement(esk1_0),composition(complement(esk3_0),esk2_0))) = complement(converse(esk1_0)),
    inference(spm,[status(thm)],[c_0_100,c_0_32]) ).

cnf(c_0_103,negated_conjecture,
    join(complement(esk1_0),composition(complement(esk3_0),esk2_0)) != complement(esk1_0),
    inference(rw,[status(thm)],[c_0_101,c_0_16]) ).

cnf(c_0_104,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_102]),c_0_95]),c_0_56]),c_0_103]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : REL043+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 15:49:06 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.3QwXwHITaD/E---3.1_15949.p
% 151.28/19.69  # Version: 3.1pre001
% 151.28/19.69  # Preprocessing class: FSMSSMSSSSSNFFN.
% 151.28/19.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 151.28/19.69  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 151.28/19.69  # Starting new_bool_3 with 300s (1) cores
% 151.28/19.69  # Starting new_bool_1 with 300s (1) cores
% 151.28/19.69  # Starting sh5l with 300s (1) cores
% 151.28/19.69  # sh5l with pid 16030 completed with status 0
% 151.28/19.69  # Result found by sh5l
% 151.28/19.69  # Preprocessing class: FSMSSMSSSSSNFFN.
% 151.28/19.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 151.28/19.69  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 151.28/19.69  # Starting new_bool_3 with 300s (1) cores
% 151.28/19.69  # Starting new_bool_1 with 300s (1) cores
% 151.28/19.69  # Starting sh5l with 300s (1) cores
% 151.28/19.69  # SinE strategy is gf500_gu_R04_F100_L20000
% 151.28/19.69  # Search class: FUUPM-FFSF21-MFFFFFNN
% 151.28/19.69  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 151.28/19.69  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 151.28/19.69  # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 16037 completed with status 0
% 151.28/19.69  # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 151.28/19.69  # Preprocessing class: FSMSSMSSSSSNFFN.
% 151.28/19.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 151.28/19.69  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 151.28/19.69  # Starting new_bool_3 with 300s (1) cores
% 151.28/19.69  # Starting new_bool_1 with 300s (1) cores
% 151.28/19.69  # Starting sh5l with 300s (1) cores
% 151.28/19.69  # SinE strategy is gf500_gu_R04_F100_L20000
% 151.28/19.69  # Search class: FUUPM-FFSF21-MFFFFFNN
% 151.28/19.69  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 151.28/19.69  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 151.28/19.69  # Preprocessing time       : 0.001 s
% 151.28/19.69  # Presaturation interreduction done
% 151.28/19.69  
% 151.28/19.69  # Proof found!
% 151.28/19.69  # SZS status Theorem
% 151.28/19.69  # SZS output start CNFRefutation
% See solution above
% 151.28/19.69  # Parsed axioms                        : 14
% 151.28/19.69  # Removed by relevancy pruning/SinE    : 2
% 151.28/19.69  # Initial clauses                      : 13
% 151.28/19.69  # Removed in clause preprocessing      : 0
% 151.28/19.69  # Initial clauses in saturation        : 13
% 151.28/19.69  # Processed clauses                    : 19504
% 151.28/19.69  # ...of these trivial                  : 13887
% 151.28/19.69  # ...subsumed                          : 4129
% 151.28/19.69  # ...remaining for further processing  : 1488
% 151.28/19.69  # Other redundant clauses eliminated   : 0
% 151.28/19.69  # Clauses deleted for lack of memory   : 0
% 151.28/19.69  # Backward-subsumed                    : 0
% 151.28/19.69  # Backward-rewritten                   : 109
% 151.28/19.69  # Generated clauses                    : 934313
% 151.28/19.69  # ...of the previous two non-redundant : 625805
% 151.28/19.69  # ...aggressively subsumed             : 0
% 151.28/19.69  # Contextual simplify-reflections      : 0
% 151.28/19.69  # Paramodulations                      : 934313
% 151.28/19.69  # Factorizations                       : 0
% 151.28/19.69  # NegExts                              : 0
% 151.28/19.69  # Equation resolutions                 : 0
% 151.28/19.69  # Total rewrite steps                  : 1960744
% 151.28/19.69  # Propositional unsat checks           : 0
% 151.28/19.69  #    Propositional check models        : 0
% 151.28/19.69  #    Propositional check unsatisfiable : 0
% 151.28/19.69  #    Propositional clauses             : 0
% 151.28/19.69  #    Propositional clauses after purity: 0
% 151.28/19.69  #    Propositional unsat core size     : 0
% 151.28/19.69  #    Propositional preprocessing time  : 0.000
% 151.28/19.69  #    Propositional encoding time       : 0.000
% 151.28/19.69  #    Propositional solver time         : 0.000
% 151.28/19.69  #    Success case prop preproc time    : 0.000
% 151.28/19.69  #    Success case prop encoding time   : 0.000
% 151.28/19.69  #    Success case prop solver time     : 0.000
% 151.28/19.69  # Current number of processed clauses  : 1366
% 151.28/19.69  #    Positive orientable unit clauses  : 1339
% 151.28/19.69  #    Positive unorientable unit clauses: 26
% 151.28/19.69  #    Negative unit clauses             : 1
% 151.28/19.69  #    Non-unit-clauses                  : 0
% 151.28/19.69  # Current number of unprocessed clauses: 604585
% 151.28/19.69  # ...number of literals in the above   : 604585
% 151.28/19.69  # Current number of archived formulas  : 0
% 151.28/19.69  # Current number of archived clauses   : 122
% 151.28/19.69  # Clause-clause subsumption calls (NU) : 0
% 151.28/19.69  # Rec. Clause-clause subsumption calls : 0
% 151.28/19.69  # Non-unit clause-clause subsumptions  : 0
% 151.28/19.69  # Unit Clause-clause subsumption calls : 805
% 151.28/19.69  # Rewrite failures with RHS unbound    : 0
% 151.28/19.69  # BW rewrite match attempts            : 16372
% 151.28/19.69  # BW rewrite match successes           : 250
% 151.28/19.69  # Condensation attempts                : 0
% 151.28/19.69  # Condensation successes               : 0
% 151.28/19.69  # Termbank termtop insertions          : 19045212
% 151.28/19.69  
% 151.28/19.69  # -------------------------------------------------
% 151.28/19.69  # User time                : 17.985 s
% 151.28/19.69  # System time              : 0.694 s
% 151.28/19.69  # Total time               : 18.679 s
% 151.28/19.69  # Maximum resident set size: 1776 pages
% 151.28/19.69  
% 151.28/19.69  # -------------------------------------------------
% 151.28/19.69  # User time                : 17.986 s
% 151.28/19.69  # System time              : 0.696 s
% 151.28/19.69  # Total time               : 18.682 s
% 151.28/19.69  # Maximum resident set size: 1684 pages
% 151.28/19.69  % E---3.1 exiting
% 151.28/19.70  % E---3.1 exiting
%------------------------------------------------------------------------------