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E-SAT---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SET099-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:16:32 PM UTC 2026

% Result   : Unsatisfiable 0.43s 0.48s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   94 (  30 unt;  27 nHn;  56 RR)
%            Number of literals    :  174 (  71 equ;  70 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :  144 (  26 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(only_member_in_singleton,axiom,
    ( ~ member(X1,singleton(X2))
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

cnf(intersection3,axiom,
    ( ~ member(X1,X3)
    | ~ member(X1,X2)
    | member(X1,intersection(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).

cnf(existence_of_null_class,axiom,
    ~ member(X1,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).

cnf(singleton_set,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(regularity2,axiom,
    ( intersection(X1,regular(X1)) = null_class
    | X1 = null_class ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).

cnf(regularity1,axiom,
    ( member(regular(X1),X1)
    | X1 = null_class ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(unordered_pair2,axiom,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(singleton_is_null_class,axiom,
    ( singleton(X1) = null_class
    | member(X1,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_is_null_class) ).

cnf(prove_corollary_2_to_number_of_elements_in_class_1,negated_conjecture,
    not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class) = not_subclass_element(x,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_number_of_elements_in_class_1) ).

cnf(intersection1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(null_class_is_unique,axiom,
    ( member(not_subclass_element(X1,null_class),X1)
    | X1 = null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).

cnf(unordered_pair_equals_singleton1,axiom,
    ( unordered_pair(X2,X1) = singleton(X2)
    | member(X1,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).

cnf(complement1,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(prove_corollary_2_to_number_of_elements_in_class_2,negated_conjecture,
    singleton(not_subclass_element(x,null_class)) != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_number_of_elements_in_class_2) ).

cnf(number_of_elements_in_class,axiom,
    ( X1 = null_class
    | singleton(not_subclass_element(X1,null_class)) = X1
    | member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X1,null_class))),X1),null_class),intersection(complement(singleton(not_subclass_element(X1,null_class))),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',number_of_elements_in_class) ).

cnf(corollary_to_unordered_pair_axiom3,axiom,
    ( unordered_pair(X1,X2) != null_class
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_to_unordered_pair_axiom3) ).

cnf(ordered_pair,axiom,
    unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))) = ordered_pair(X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).

cnf(cartesian_product3,axiom,
    ( ~ member(X3,X4)
    | ~ member(X1,X2)
    | member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).

cnf(intersection2,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(commutativity_of_unordered_pair,axiom,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).

cnf(prove_corollary_2_to_number_of_elements_in_class_3,negated_conjecture,
    x != null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_number_of_elements_in_class_3) ).

cnf(unordered_pair_equals_singleton2,axiom,
    ( unordered_pair(X1,X2) = singleton(X2)
    | member(X1,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton2) ).

cnf(unordered_pair3,axiom,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

cnf(null_unordered_pair,axiom,
    ( member(X2,universal_class)
    | member(X1,universal_class)
    | unordered_pair(X1,X2) = null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_unordered_pair) ).

cnf(c_0_24,plain,
    ( ~ member(X1,singleton(X2))
    | X1 = X2 ),
    inference(fof_simplification,[status(thm)],[only_member_in_singleton]) ).

cnf(c_0_25,plain,
    ( ~ member(X1,X3)
    | ~ member(X1,X2)
    | member(X1,intersection(X2,X3)) ),
    inference(fof_simplification,[status(thm)],[intersection3]) ).

cnf(c_0_26,plain,
    ~ member(X1,null_class),
    inference(fof_simplification,[status(thm)],[existence_of_null_class]) ).

cnf(c_0_27,plain,
    ( ~ member(X1,singleton(X2))
    | X1 = X2 ),
    c_0_24 ).

cnf(c_0_28,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    singleton_set ).

cnf(c_0_29,plain,
    ( ~ member(X1,X3)
    | ~ member(X1,X2)
    | member(X1,intersection(X2,X3)) ),
    c_0_25 ).

cnf(c_0_30,axiom,
    ( intersection(X1,regular(X1)) = null_class
    | X1 = null_class ),
    regularity2 ).

cnf(c_0_31,plain,
    ~ member(X1,null_class),
    c_0_26 ).

cnf(c_0_32,plain,
    ( ~ member(X1,unordered_pair(X2,X2))
    | X1 = X2 ),
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,axiom,
    ( member(regular(X1),X1)
    | X1 = null_class ),
    regularity1 ).

cnf(c_0_34,plain,
    ( ~ member(X2,X1)
    | ~ member(X2,regular(X1))
    | X1 = null_class ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_35,plain,
    ( unordered_pair(X1,X1) = null_class
    | regular(unordered_pair(X1,X1)) = X1 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,plain,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[unordered_pair2]) ).

cnf(c_0_37,axiom,
    ( singleton(X1) = null_class
    | member(X1,universal_class) ),
    singleton_is_null_class ).

cnf(c_0_38,plain,
    ( ~ member(X2,X1)
    | ~ member(X2,unordered_pair(X1,X1))
    | unordered_pair(X1,X1) = null_class ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,plain,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X1,X2)) ),
    c_0_36 ).

cnf(c_0_40,plain,
    ( member(X1,universal_class)
    | unordered_pair(X1,X1) = null_class ),
    inference(rw,[status(thm)],[c_0_37,c_0_28]) ).

cnf(c_0_41,negated_conjecture,
    not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class) = not_subclass_element(x,null_class),
    prove_corollary_2_to_number_of_elements_in_class_1 ).

cnf(c_0_42,plain,
    ( ~ member(X1,X1)
    | unordered_pair(X1,X1) = null_class ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).

cnf(c_0_43,plain,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    inference(fof_simplification,[status(thm)],[intersection1]) ).

cnf(c_0_44,axiom,
    ( member(not_subclass_element(X1,null_class),X1)
    | X1 = null_class ),
    null_class_is_unique ).

cnf(c_0_45,negated_conjecture,
    not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x),null_class) = not_subclass_element(x,null_class),
    inference(rw,[status(thm)],[c_0_41,c_0_28]) ).

cnf(c_0_46,plain,
    unordered_pair(universal_class,universal_class) = null_class,
    inference(spm,[status(thm)],[c_0_42,c_0_40]) ).

cnf(c_0_47,axiom,
    ( unordered_pair(X2,X1) = singleton(X2)
    | member(X1,universal_class) ),
    unordered_pair_equals_singleton1 ).

cnf(c_0_48,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    inference(fof_simplification,[status(thm)],[complement1]) ).

cnf(c_0_49,plain,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    c_0_43 ).

cnf(c_0_50,negated_conjecture,
    ( member(not_subclass_element(x,null_class),intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x))
    | intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x) = null_class ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    singleton(not_subclass_element(x,null_class)) != x,
    inference(fof_simplification,[status(thm)],[prove_corollary_2_to_number_of_elements_in_class_2]) ).

cnf(c_0_52,axiom,
    ( X1 = null_class
    | singleton(not_subclass_element(X1,null_class)) = X1
    | member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X1,null_class))),X1),null_class),intersection(complement(singleton(not_subclass_element(X1,null_class))),X1)) ),
    number_of_elements_in_class ).

cnf(c_0_53,plain,
    ~ member(universal_class,universal_class),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_46]),c_0_31]) ).

cnf(c_0_54,plain,
    ( member(X1,universal_class)
    | unordered_pair(X2,X1) = unordered_pair(X2,X2) ),
    inference(rw,[status(thm)],[c_0_47,c_0_28]) ).

cnf(c_0_55,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    c_0_48 ).

cnf(c_0_56,negated_conjecture,
    ( member(not_subclass_element(x,null_class),complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))))
    | intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x) = null_class ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,negated_conjecture,
    singleton(not_subclass_element(x,null_class)) != x,
    c_0_51 ).

cnf(c_0_58,plain,
    ( unordered_pair(X1,X2) != null_class
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    inference(fof_simplification,[status(thm)],[corollary_to_unordered_pair_axiom3]) ).

cnf(c_0_59,axiom,
    unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))) = ordered_pair(X1,X2),
    ordered_pair ).

cnf(c_0_60,plain,
    ( ~ member(X3,X4)
    | ~ member(X1,X2)
    | member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
    inference(fof_simplification,[status(thm)],[cartesian_product3]) ).

cnf(c_0_61,plain,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X3) ),
    inference(fof_simplification,[status(thm)],[intersection2]) ).

cnf(c_0_62,plain,
    ( member(not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class))),X1),null_class),intersection(complement(unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class))),X1))
    | unordered_pair(not_subclass_element(X1,null_class),not_subclass_element(X1,null_class)) = X1
    | X1 = null_class ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_28]),c_0_28]),c_0_28]) ).

cnf(c_0_63,plain,
    unordered_pair(X1,universal_class) = unordered_pair(X1,X1),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_64,axiom,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    commutativity_of_unordered_pair ).

cnf(c_0_65,negated_conjecture,
    ( ~ member(not_subclass_element(x,null_class),unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)))
    | intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x) = null_class ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)) != x,
    inference(rw,[status(thm)],[c_0_57,c_0_28]) ).

cnf(c_0_67,negated_conjecture,
    x != null_class,
    inference(fof_simplification,[status(thm)],[prove_corollary_2_to_number_of_elements_in_class_3]) ).

cnf(c_0_68,plain,
    ( unordered_pair(X1,X2) != null_class
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    c_0_58 ).

cnf(c_0_69,plain,
    unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))) = ordered_pair(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_28]),c_0_28]) ).

cnf(c_0_70,plain,
    ( ~ member(X3,X4)
    | ~ member(X1,X2)
    | member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
    c_0_60 ).

cnf(c_0_71,axiom,
    ( unordered_pair(X1,X2) = singleton(X2)
    | member(X1,universal_class) ),
    unordered_pair_equals_singleton2 ).

cnf(c_0_72,plain,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X3) ),
    c_0_61 ).

cnf(c_0_73,plain,
    ( member(not_subclass_element(intersection(complement(unordered_pair(universal_class,not_subclass_element(X1,null_class))),X1),null_class),intersection(complement(unordered_pair(universal_class,not_subclass_element(X1,null_class))),X1))
    | X1 = null_class
    | unordered_pair(universal_class,not_subclass_element(X1,null_class)) = X1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_63]),c_0_64]),c_0_63]),c_0_64]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ member(not_subclass_element(x,null_class),unordered_pair(universal_class,not_subclass_element(x,null_class)))
    | intersection(complement(unordered_pair(universal_class,not_subclass_element(x,null_class))),x) = null_class ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_63]),c_0_64]),c_0_63]),c_0_64]) ).

cnf(c_0_75,negated_conjecture,
    unordered_pair(universal_class,not_subclass_element(x,null_class)) != x,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_63]),c_0_64]) ).

cnf(c_0_76,negated_conjecture,
    x != null_class,
    c_0_67 ).

cnf(c_0_77,plain,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[unordered_pair3]) ).

cnf(c_0_78,plain,
    ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(X3,X4))
    | unordered_pair(X1,X2) != null_class ),
    inference(rw,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_79,plain,
    ( ~ member(X1,X2)
    | ~ member(X3,X4)
    | member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X3,X3))),cross_product(X2,X4)) ),
    inference(rw,[status(thm)],[c_0_70,c_0_69]) ).

cnf(c_0_80,plain,
    ( member(X1,universal_class)
    | unordered_pair(X1,X2) = unordered_pair(X2,X2) ),
    inference(rw,[status(thm)],[c_0_71,c_0_28]) ).

cnf(c_0_81,negated_conjecture,
    ( member(not_subclass_element(x,null_class),x)
    | intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x) = null_class ),
    inference(spm,[status(thm)],[c_0_72,c_0_50]) ).

cnf(c_0_82,negated_conjecture,
    ~ member(not_subclass_element(x,null_class),unordered_pair(universal_class,not_subclass_element(x,null_class))),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]),c_0_31]) ).

cnf(c_0_83,plain,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X2,X1)) ),
    c_0_77 ).

cnf(c_0_84,axiom,
    ( member(X2,universal_class)
    | member(X1,universal_class)
    | unordered_pair(X1,X2) = null_class ),
    null_unordered_pair ).

cnf(c_0_85,plain,
    ( ~ member(X1,X4)
    | ~ member(X2,X3)
    | unordered_pair(X1,X2) != null_class ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_86,plain,
    unordered_pair(universal_class,X1) = unordered_pair(X1,X1),
    inference(spm,[status(thm)],[c_0_53,c_0_80]) ).

cnf(c_0_87,negated_conjecture,
    ( member(not_subclass_element(x,null_class),x)
    | intersection(complement(unordered_pair(universal_class,not_subclass_element(x,null_class))),x) = null_class ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_63]),c_0_64]) ).

cnf(c_0_88,negated_conjecture,
    ~ member(not_subclass_element(x,null_class),universal_class),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_89,plain,
    ( member(X1,universal_class)
    | unordered_pair(X1,universal_class) = null_class ),
    inference(spm,[status(thm)],[c_0_53,c_0_84]) ).

cnf(c_0_90,plain,
    ( ~ member(X1,X2)
    | unordered_pair(universal_class,X1) != null_class ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86])]) ).

cnf(c_0_91,negated_conjecture,
    member(not_subclass_element(x,null_class),x),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_87]),c_0_75]),c_0_76]),c_0_31]) ).

cnf(c_0_92,negated_conjecture,
    unordered_pair(universal_class,not_subclass_element(x,null_class)) = null_class,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_64]) ).

cnf(c_0_93,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET099-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n020.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 04:53:32 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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/benchmark/theBenchmark.p
% 0.43/0.48  % Version: 3.5.1
% 0.43/0.48  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.43/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.43/0.48  % Starting sh5l with 300s (1) cores
% 0.43/0.48  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2046024 completed with status 0
% 0.43/0.48  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.43/0.48  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.43/0.48  % No SInE strategy applied
% 0.43/0.48  % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.43/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.43/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.43/0.48  % Starting new_bool_3 with 311s (1) cores
% 0.43/0.48  % Starting new_bool_1 with 308s (1) cores
% 0.43/0.48  % Starting sh5l with 304s (1) cores
% 0.43/0.48  % sh5l with pid 2046035 completed with status 0
% 0.43/0.48  % Result found by sh5l
% 0.43/0.48  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.48  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.43/0.48  % No SInE strategy applied
% 0.43/0.48  % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.43/0.48  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.48  % Starting SubtermCWHack with 136s (1) cores
% 0.43/0.48  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.43/0.48  % Starting new_bool_3 with 311s (1) cores
% 0.43/0.48  % Starting new_bool_1 with 308s (1) cores
% 0.43/0.48  % Starting sh5l with 304s (1) cores
% 0.43/0.48  % Preprocessing time       : 0.002 s
% 0.43/0.48  % Presaturation interreduction done
% 0.43/0.48  
% 0.43/0.48  % Proof found!
% 0.43/0.48  % SZS status Unsatisfiable
% 0.43/0.48  % SZS output start CNFRefutation
% See solution above
% 0.43/0.49  % Parsed axioms                        : 144
% 0.43/0.49  % Removed by relevancy pruning/SinE    : 0
% 0.43/0.49  % Initial clauses                      : 144
% 0.43/0.49  % Removed in clause preprocessing      : 15
% 0.43/0.49  % Initial clauses in saturation        : 129
% 0.43/0.49  % Processed clauses                    : 812
% 0.43/0.49  % ...of these trivial                  : 15
% 0.43/0.49  % ...subsumed                          : 438
% 0.43/0.49  % ...remaining for further processing  : 359
% 0.43/0.49  % Other redundant clauses eliminated   : 29
% 0.43/0.49  % Clauses deleted for lack of memory   : 0
% 0.43/0.49  % Backward-subsumed                    : 12
% 0.43/0.49  % Backward-rewritten                   : 20
% 0.43/0.49  % Generated clauses                    : 2535
% 0.43/0.49  % ...of the previous two non-redundant : 2080
% 0.43/0.49  % ...aggressively subsumed             : 0
% 0.43/0.49  % Contextual simplify-reflections      : 3
% 0.43/0.49  % Paramodulations                      : 2495
% 0.43/0.49  % Factorizations                       : 5
% 0.43/0.49  % NegExts                              : 0
% 0.43/0.49  % Equation resolutions                 : 33
% 0.43/0.49  % Disequality decompositions           : 0
% 0.43/0.49  % Total rewrite steps                  : 1309
% 0.43/0.49  % ...of those cached                   : 1192
% 0.43/0.49  % Propositional unsat checks           : 0
% 0.43/0.49  %    Propositional check models        : 0
% 0.43/0.49  %    Propositional check unsatisfiable : 0
% 0.43/0.49  %    Propositional clauses             : 0
% 0.43/0.49  %    Propositional clauses after purity: 0
% 0.43/0.49  %    Propositional unsat core size     : 0
% 0.43/0.49  %    Propositional preprocessing time  : 0.000
% 0.43/0.49  %    Propositional encoding time       : 0.000
% 0.43/0.49  %    Propositional solver time         : 0.000
% 0.43/0.49  %    Success case prop preproc time    : 0.000
% 0.43/0.49  %    Success case prop encoding time   : 0.000
% 0.43/0.49  %    Success case prop solver time     : 0.000
% 0.43/0.49  % Current number of processed clauses  : 200
% 0.43/0.49  %    Positive orientable unit clauses  : 38
% 0.43/0.49  %    Positive unorientable unit clauses: 4
% 0.43/0.49  %    Negative unit clauses             : 18
% 0.43/0.49  %    Non-unit-clauses                  : 140
% 0.43/0.49  % Current number of unprocessed clauses: 1499
% 0.43/0.49  % ...number of literals in the above   : 4184
% 0.43/0.49  % Current number of archived formulas  : 0
% 0.43/0.49  % Current number of archived clauses   : 171
% 0.43/0.49  % Clause-clause subsumption calls (NU) : 6903
% 0.43/0.49  % Rec. Clause-clause subsumption calls : 4012
% 0.43/0.49  % Non-unit clause-clause subsumptions  : 196
% 0.43/0.49  % Unit Clause-clause subsumption calls : 230
% 0.43/0.49  % Rewrite failures with RHS unbound    : 0
% 0.43/0.49  % BW rewrite match attempts            : 111
% 0.43/0.49  % BW rewrite match successes           : 40
% 0.43/0.49  % Condensation attempts                : 812
% 0.43/0.49  % Condensation successes               : 3
% 0.43/0.49  % Termbank termtop insertions          : 34587
% 0.43/0.49  % Search garbage collected termcells   : 228
% 0.43/0.49  
% 0.43/0.49  % -------------------------------------------------
% 0.43/0.49  % User time                : 0.039 s
% 0.43/0.49  % System time              : 0.004 s
% 0.43/0.49  % Total time               : 0.043 s
% 0.43/0.49  % Maximum resident set size: 4004 pages
% 0.43/0.49  
% 0.43/0.49  % -------------------------------------------------
% 0.43/0.49  % User time                : 0.209 s
% 0.43/0.49  % System time              : 0.022 s
% 0.43/0.49  % Total time               : 0.231 s
% 0.43/0.49  % Maximum resident set size: 4608 pages
% 0.43/0.49  % E exiting
%------------------------------------------------------------------------------