TSTP Solution File: FLD041-4 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 17:30:06 EDT 2023

% Result   : Unsatisfiable 4.95s 1.15s
% Output   : CNFRefutation 4.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of clauses     :  101 (  45 unt;   3 nHn; 101 RR)
%            Number of literals    :  222 (   0 equ; 123 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  174 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(existence_of_identity_addition,axiom,
    ( sum(additive_identity,X1,X1)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',existence_of_identity_addition) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',a_is_defined) ).

cnf(associativity_addition_2,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X1)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X6,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',associativity_addition_2) ).

cnf(sum_7,negated_conjecture,
    sum(additive_identity,c,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',sum_7) ).

cnf(commutativity_addition,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',commutativity_addition) ).

cnf(associativity_multiplication_2,axiom,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X6,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',associativity_multiplication_2) ).

cnf(product_6,negated_conjecture,
    product(a,b,c),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',product_6) ).

cnf(distributivity_1,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | ~ product(X6,X7,X3)
    | ~ product(X4,X7,X1)
    | ~ product(X5,X7,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',distributivity_1) ).

cnf(totality_of_multiplication,axiom,
    ( product(X1,X2,multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',totality_of_multiplication) ).

cnf(c_is_defined,hypothesis,
    defined(c),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',c_is_defined) ).

cnf(commutativity_multiplication,axiom,
    ( product(X1,X2,X3)
    | ~ product(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',commutativity_multiplication) ).

cnf(b_is_defined,hypothesis,
    defined(b),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',b_is_defined) ).

cnf(existence_of_identity_multiplication,axiom,
    ( product(multiplicative_identity,X1,X1)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',existence_of_identity_multiplication) ).

cnf(well_definedness_of_additive_identity,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',well_definedness_of_additive_identity) ).

cnf(distributivity_2,axiom,
    ( product(X1,X2,X3)
    | ~ sum(X4,X5,X1)
    | ~ product(X4,X2,X6)
    | ~ product(X5,X2,X7)
    | ~ sum(X6,X7,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',distributivity_2) ).

cnf(well_definedness_of_multiplication,axiom,
    ( defined(multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',well_definedness_of_multiplication) ).

cnf(associativity_multiplication_1,axiom,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X4,X6,X2)
    | ~ product(X5,X6,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',associativity_multiplication_1) ).

cnf(existence_of_inverse_multiplication,axiom,
    ( product(multiplicative_inverse(X1),X1,multiplicative_identity)
    | sum(additive_identity,X1,additive_identity)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',existence_of_inverse_multiplication) ).

cnf(not_sum_5,negated_conjecture,
    ~ sum(additive_identity,b,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',not_sum_5) ).

cnf(associativity_addition_1,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',associativity_addition_1) ).

cnf(not_sum_4,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.NzN282IvTY/E---3.1_30577.p',not_sum_4) ).

cnf(c_0_21,axiom,
    ( sum(additive_identity,X1,X1)
    | ~ defined(X1) ),
    existence_of_identity_addition ).

cnf(c_0_22,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_23,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X1)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X6,X3) ),
    associativity_addition_2 ).

cnf(c_0_24,negated_conjecture,
    sum(additive_identity,c,additive_identity),
    sum_7 ).

cnf(c_0_25,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    commutativity_addition ).

cnf(c_0_26,hypothesis,
    sum(additive_identity,a,a),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,axiom,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X6,X3) ),
    associativity_multiplication_2 ).

cnf(c_0_28,negated_conjecture,
    product(a,b,c),
    product_6 ).

cnf(c_0_29,negated_conjecture,
    ( sum(X1,c,X2)
    | ~ sum(X3,additive_identity,X2)
    | ~ sum(X3,additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,hypothesis,
    sum(a,additive_identity,a),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | ~ product(X6,X7,X3)
    | ~ product(X4,X7,X1)
    | ~ product(X5,X7,X2) ),
    distributivity_1 ).

cnf(c_0_32,negated_conjecture,
    ( product(X1,b,X2)
    | ~ product(X3,c,X2)
    | ~ product(X3,a,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,axiom,
    ( product(X1,X2,multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    totality_of_multiplication ).

cnf(c_0_34,hypothesis,
    defined(c),
    c_is_defined ).

cnf(c_0_35,axiom,
    ( product(X1,X2,X3)
    | ~ product(X2,X1,X3) ),
    commutativity_multiplication ).

cnf(c_0_36,hypothesis,
    ( sum(X1,c,a)
    | ~ sum(a,additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    sum(c,additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

cnf(c_0_38,negated_conjecture,
    ( sum(X1,X2,c)
    | ~ product(X3,b,X2)
    | ~ product(X4,b,X1)
    | ~ sum(X4,X3,a) ),
    inference(spm,[status(thm)],[c_0_31,c_0_28]) ).

cnf(c_0_39,negated_conjecture,
    ( product(X1,b,multiply(X2,c))
    | ~ product(X2,a,X1)
    | ~ defined(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_40,negated_conjecture,
    product(b,a,c),
    inference(spm,[status(thm)],[c_0_35,c_0_28]) ).

cnf(c_0_41,hypothesis,
    defined(b),
    b_is_defined ).

cnf(c_0_42,hypothesis,
    sum(a,c,a),
    inference(spm,[status(thm)],[c_0_36,c_0_30]) ).

cnf(c_0_43,axiom,
    ( product(multiplicative_identity,X1,X1)
    | ~ defined(X1) ),
    existence_of_identity_multiplication ).

cnf(c_0_44,axiom,
    defined(additive_identity),
    well_definedness_of_additive_identity ).

cnf(c_0_45,negated_conjecture,
    ( sum(X1,additive_identity,X2)
    | ~ sum(X3,additive_identity,X2)
    | ~ sum(X3,c,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_37]) ).

cnf(c_0_46,plain,
    ( sum(X1,additive_identity,X1)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_21]) ).

cnf(c_0_47,negated_conjecture,
    ( sum(X1,c,c)
    | ~ product(X2,b,X1)
    | ~ sum(X2,a,a) ),
    inference(spm,[status(thm)],[c_0_38,c_0_28]) ).

cnf(c_0_48,negated_conjecture,
    product(c,b,multiply(b,c)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_49,hypothesis,
    sum(c,a,a),
    inference(spm,[status(thm)],[c_0_25,c_0_42]) ).

cnf(c_0_50,axiom,
    ( product(X1,X2,X3)
    | ~ sum(X4,X5,X1)
    | ~ product(X4,X2,X6)
    | ~ product(X5,X2,X7)
    | ~ sum(X6,X7,X3) ),
    distributivity_2 ).

cnf(c_0_51,plain,
    product(multiplicative_identity,additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    ( sum(X1,additive_identity,X2)
    | ~ defined(X2)
    | ~ sum(X2,c,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    sum(multiply(b,c),c,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

cnf(c_0_54,hypothesis,
    product(multiplicative_identity,c,c),
    inference(spm,[status(thm)],[c_0_43,c_0_34]) ).

cnf(c_0_55,negated_conjecture,
    ( product(X1,X2,additive_identity)
    | ~ product(X3,X2,additive_identity)
    | ~ product(X4,X2,c)
    | ~ sum(X4,X3,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_37]) ).

cnf(c_0_56,plain,
    product(additive_identity,multiplicative_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_35,c_0_51]) ).

cnf(c_0_57,negated_conjecture,
    ( sum(c,additive_identity,multiply(b,c))
    | ~ defined(multiply(b,c)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,axiom,
    ( defined(multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    well_definedness_of_multiplication ).

cnf(c_0_59,hypothesis,
    product(multiplicative_identity,a,a),
    inference(spm,[status(thm)],[c_0_43,c_0_22]) ).

cnf(c_0_60,negated_conjecture,
    ( product(X1,X2,additive_identity)
    | ~ product(X3,X2,c)
    | ~ product(X4,X2,additive_identity)
    | ~ sum(X4,X3,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_24]) ).

cnf(c_0_61,hypothesis,
    product(c,multiplicative_identity,c),
    inference(spm,[status(thm)],[c_0_35,c_0_54]) ).

cnf(c_0_62,axiom,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X4,X6,X2)
    | ~ product(X5,X6,X3) ),
    associativity_multiplication_1 ).

cnf(c_0_63,negated_conjecture,
    ( product(X1,multiplicative_identity,additive_identity)
    | ~ product(X2,multiplicative_identity,c)
    | ~ sum(X2,additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_64,negated_conjecture,
    sum(c,additive_identity,multiply(b,c)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_34]),c_0_41])]) ).

cnf(c_0_65,hypothesis,
    product(a,multiplicative_identity,a),
    inference(spm,[status(thm)],[c_0_35,c_0_59]) ).

cnf(c_0_66,hypothesis,
    ( product(X1,multiplicative_identity,additive_identity)
    | ~ product(X2,multiplicative_identity,additive_identity)
    | ~ sum(X2,c,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,hypothesis,
    sum(additive_identity,c,c),
    inference(spm,[status(thm)],[c_0_21,c_0_34]) ).

cnf(c_0_68,hypothesis,
    ( product(X1,X2,a)
    | ~ product(X3,a,X2)
    | ~ product(X1,X3,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_62,c_0_59]) ).

cnf(c_0_69,negated_conjecture,
    product(multiply(b,c),multiplicative_identity,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_61])]) ).

cnf(c_0_70,hypothesis,
    ( product(X1,X2,a)
    | ~ product(X3,multiplicative_identity,X2)
    | ~ product(X1,X3,a) ),
    inference(spm,[status(thm)],[c_0_62,c_0_65]) ).

cnf(c_0_71,hypothesis,
    product(c,multiplicative_identity,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_56])]) ).

cnf(c_0_72,negated_conjecture,
    ( product(X1,c,a)
    | ~ product(X1,b,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_68,c_0_40]) ).

cnf(c_0_73,axiom,
    ( product(multiplicative_inverse(X1),X1,multiplicative_identity)
    | sum(additive_identity,X1,additive_identity)
    | ~ defined(X1) ),
    existence_of_inverse_multiplication ).

cnf(c_0_74,negated_conjecture,
    ~ sum(additive_identity,b,additive_identity),
    not_sum_5 ).

cnf(c_0_75,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,multiply(X5,X2),X3)
    | ~ product(X4,X5,X1)
    | ~ defined(X2)
    | ~ defined(X5) ),
    inference(spm,[status(thm)],[c_0_27,c_0_33]) ).

cnf(c_0_76,negated_conjecture,
    product(multiplicative_identity,multiply(b,c),additive_identity),
    inference(spm,[status(thm)],[c_0_35,c_0_69]) ).

cnf(c_0_77,plain,
    ( product(X1,multiplicative_identity,X1)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_43]) ).

cnf(c_0_78,hypothesis,
    ( product(X1,additive_identity,a)
    | ~ product(X1,c,a) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_79,negated_conjecture,
    product(multiplicative_inverse(b),c,a),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_41])]),c_0_74]) ).

cnf(c_0_80,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,multiplicative_identity)
    | ~ product(X4,X3,X2)
    | ~ defined(X3) ),
    inference(spm,[status(thm)],[c_0_62,c_0_43]) ).

cnf(c_0_81,negated_conjecture,
    ( product(X1,c,additive_identity)
    | ~ product(multiplicative_identity,b,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_34]),c_0_41])]) ).

cnf(c_0_82,hypothesis,
    product(multiplicative_identity,b,b),
    inference(spm,[status(thm)],[c_0_43,c_0_41]) ).

cnf(c_0_83,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    associativity_addition_1 ).

cnf(c_0_84,plain,
    ( product(X1,multiplicative_identity,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1)
    | ~ defined(X4) ),
    inference(spm,[status(thm)],[c_0_27,c_0_77]) ).

cnf(c_0_85,negated_conjecture,
    product(multiplicative_inverse(b),additive_identity,a),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_86,plain,
    ( product(multiplicative_inverse(X1),X2,X3)
    | sum(additive_identity,X1,additive_identity)
    | ~ product(X1,X3,X2)
    | ~ defined(X3)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_73]) ).

cnf(c_0_87,hypothesis,
    product(b,c,additive_identity),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_88,negated_conjecture,
    ( sum(X1,X2,additive_identity)
    | ~ sum(X3,c,X2)
    | ~ sum(X1,X3,additive_identity) ),
    inference(spm,[status(thm)],[c_0_83,c_0_24]) ).

cnf(c_0_89,plain,
    ( sum(X1,X2,additive_identity)
    | ~ product(X3,multiplicative_identity,X2)
    | ~ product(X4,multiplicative_identity,X1)
    | ~ sum(X4,X3,additive_identity) ),
    inference(spm,[status(thm)],[c_0_31,c_0_56]) ).

cnf(c_0_90,negated_conjecture,
    ( product(X1,multiplicative_identity,a)
    | ~ product(multiplicative_inverse(b),additive_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_44])]) ).

cnf(c_0_91,hypothesis,
    product(multiplicative_inverse(b),additive_identity,c),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_34]),c_0_41])]),c_0_74]) ).

cnf(c_0_92,hypothesis,
    ( sum(X1,c,additive_identity)
    | ~ sum(X1,additive_identity,additive_identity) ),
    inference(spm,[status(thm)],[c_0_88,c_0_67]) ).

cnf(c_0_93,hypothesis,
    ( sum(X1,c,additive_identity)
    | ~ product(X2,multiplicative_identity,X1)
    | ~ sum(X2,c,additive_identity) ),
    inference(spm,[status(thm)],[c_0_89,c_0_61]) ).

cnf(c_0_94,negated_conjecture,
    product(c,multiplicative_identity,a),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_95,negated_conjecture,
    sum(c,c,additive_identity),
    inference(spm,[status(thm)],[c_0_92,c_0_37]) ).

cnf(c_0_96,hypothesis,
    ( sum(X1,a,additive_identity)
    | ~ product(X2,multiplicative_identity,X1)
    | ~ sum(X2,a,additive_identity) ),
    inference(spm,[status(thm)],[c_0_89,c_0_65]) ).

cnf(c_0_97,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    not_sum_4 ).

cnf(c_0_98,hypothesis,
    sum(a,c,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).

cnf(c_0_99,hypothesis,
    ~ sum(c,a,additive_identity),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_71]),c_0_97]) ).

cnf(c_0_100,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_98]),c_0_99]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.15  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n005.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Oct  2 23:12:16 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  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.NzN282IvTY/E---3.1_30577.p
% 4.95/1.15  # Version: 3.1pre001
% 4.95/1.15  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.95/1.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.95/1.15  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.95/1.15  # Starting new_bool_3 with 300s (1) cores
% 4.95/1.15  # Starting new_bool_1 with 300s (1) cores
% 4.95/1.15  # Starting sh5l with 300s (1) cores
% 4.95/1.15  # sh5l with pid 30658 completed with status 0
% 4.95/1.15  # Result found by sh5l
% 4.95/1.15  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.95/1.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.95/1.15  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.95/1.15  # Starting new_bool_3 with 300s (1) cores
% 4.95/1.15  # Starting new_bool_1 with 300s (1) cores
% 4.95/1.15  # Starting sh5l with 300s (1) cores
% 4.95/1.15  # SinE strategy is gf500_gu_R04_F100_L20000
% 4.95/1.15  # Search class: FGUNF-FFMM21-SFFFFFNN
% 4.95/1.15  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.95/1.15  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 4.95/1.15  # G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with pid 30666 completed with status 0
% 4.95/1.15  # Result found by G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 4.95/1.15  # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.95/1.15  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.95/1.15  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.95/1.15  # Starting new_bool_3 with 300s (1) cores
% 4.95/1.15  # Starting new_bool_1 with 300s (1) cores
% 4.95/1.15  # Starting sh5l with 300s (1) cores
% 4.95/1.15  # SinE strategy is gf500_gu_R04_F100_L20000
% 4.95/1.15  # Search class: FGUNF-FFMM21-SFFFFFNN
% 4.95/1.15  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.95/1.15  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 4.95/1.15  # Preprocessing time       : 0.001 s
% 4.95/1.15  
% 4.95/1.15  # Proof found!
% 4.95/1.15  # SZS status Unsatisfiable
% 4.95/1.15  # SZS output start CNFRefutation
% See solution above
% 4.95/1.16  # Parsed axioms                        : 33
% 4.95/1.16  # Removed by relevancy pruning/SinE    : 4
% 4.95/1.16  # Initial clauses                      : 29
% 4.95/1.16  # Removed in clause preprocessing      : 0
% 4.95/1.16  # Initial clauses in saturation        : 29
% 4.95/1.16  # Processed clauses                    : 5814
% 4.95/1.16  # ...of these trivial                  : 362
% 4.95/1.16  # ...subsumed                          : 2127
% 4.95/1.16  # ...remaining for further processing  : 3325
% 4.95/1.16  # Other redundant clauses eliminated   : 0
% 4.95/1.16  # Clauses deleted for lack of memory   : 0
% 4.95/1.16  # Backward-subsumed                    : 12
% 4.95/1.16  # Backward-rewritten                   : 67
% 4.95/1.16  # Generated clauses                    : 31223
% 4.95/1.16  # ...of the previous two non-redundant : 24042
% 4.95/1.16  # ...aggressively subsumed             : 0
% 4.95/1.16  # Contextual simplify-reflections      : 12
% 4.95/1.16  # Paramodulations                      : 31205
% 4.95/1.16  # Factorizations                       : 18
% 4.95/1.16  # NegExts                              : 0
% 4.95/1.16  # Equation resolutions                 : 0
% 4.95/1.16  # Total rewrite steps                  : 22046
% 4.95/1.16  # Propositional unsat checks           : 0
% 4.95/1.16  #    Propositional check models        : 0
% 4.95/1.16  #    Propositional check unsatisfiable : 0
% 4.95/1.16  #    Propositional clauses             : 0
% 4.95/1.16  #    Propositional clauses after purity: 0
% 4.95/1.16  #    Propositional unsat core size     : 0
% 4.95/1.16  #    Propositional preprocessing time  : 0.000
% 4.95/1.16  #    Propositional encoding time       : 0.000
% 4.95/1.16  #    Propositional solver time         : 0.000
% 4.95/1.16  #    Success case prop preproc time    : 0.000
% 4.95/1.16  #    Success case prop encoding time   : 0.000
% 4.95/1.16  #    Success case prop solver time     : 0.000
% 4.95/1.16  # Current number of processed clauses  : 3246
% 4.95/1.16  #    Positive orientable unit clauses  : 425
% 4.95/1.16  #    Positive unorientable unit clauses: 0
% 4.95/1.16  #    Negative unit clauses             : 15
% 4.95/1.16  #    Non-unit-clauses                  : 2806
% 4.95/1.16  # Current number of unprocessed clauses: 18253
% 4.95/1.16  # ...number of literals in the above   : 45336
% 4.95/1.16  # Current number of archived formulas  : 0
% 4.95/1.16  # Current number of archived clauses   : 79
% 4.95/1.16  # Clause-clause subsumption calls (NU) : 999534
% 4.95/1.16  # Rec. Clause-clause subsumption calls : 771318
% 4.95/1.16  # Non-unit clause-clause subsumptions  : 2119
% 4.95/1.16  # Unit Clause-clause subsumption calls : 35910
% 4.95/1.16  # Rewrite failures with RHS unbound    : 0
% 4.95/1.16  # BW rewrite match attempts            : 571
% 4.95/1.16  # BW rewrite match successes           : 31
% 4.95/1.16  # Condensation attempts                : 0
% 4.95/1.16  # Condensation successes               : 0
% 4.95/1.16  # Termbank termtop insertions          : 454776
% 4.95/1.16  
% 4.95/1.16  # -------------------------------------------------
% 4.95/1.16  # User time                : 0.465 s
% 4.95/1.16  # System time              : 0.015 s
% 4.95/1.16  # Total time               : 0.480 s
% 4.95/1.16  # Maximum resident set size: 1608 pages
% 4.95/1.16  
% 4.95/1.16  # -------------------------------------------------
% 4.95/1.16  # User time                : 0.469 s
% 4.95/1.16  # System time              : 0.015 s
% 4.95/1.16  # Total time               : 0.484 s
% 4.95/1.16  # Maximum resident set size: 1700 pages
% 4.95/1.16  % E---3.1 exiting
% 4.95/1.16  % E---3.1 exiting
%------------------------------------------------------------------------------