TSTP Solution File: FLD043-5 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : FLD043-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 17:30:38 EDT 2023

% Result   : Unsatisfiable 11.93s 2.18s
% Output   : CNFRefutation 11.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :   25
% Syntax   : Number of clauses     :  159 (  36 unt;  31 nHn; 159 RR)
%            Number of literals    :  403 (   0 equ; 223 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  265 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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.48pM9RyrPd/E---3.1_30028.p',associativity_addition_1) ).

cnf(existence_of_identity_addition,axiom,
    ( sum(additive_identity,X1,X1)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',existence_of_identity_addition) ).

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.48pM9RyrPd/E---3.1_30028.p',associativity_multiplication_1) ).

cnf(existence_of_identity_multiplication,axiom,
    ( product(multiplicative_identity,X1,X1)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',existence_of_identity_multiplication) ).

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.48pM9RyrPd/E---3.1_30028.p',existence_of_inverse_multiplication) ).

cnf(well_definedness_of_multiplicative_identity,axiom,
    defined(multiplicative_identity),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',well_definedness_of_multiplicative_identity) ).

cnf(well_definedness_of_additive_identity,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',well_definedness_of_additive_identity) ).

cnf(well_definedness_of_multiplicative_inverse,axiom,
    ( defined(multiplicative_inverse(X1))
    | sum(additive_identity,X1,additive_identity)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',well_definedness_of_multiplicative_inverse) ).

cnf(commutativity_multiplication,axiom,
    ( product(X1,X2,X3)
    | ~ product(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',commutativity_multiplication) ).

cnf(different_identities,axiom,
    ~ sum(additive_identity,additive_identity,multiplicative_identity),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',different_identities) ).

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.48pM9RyrPd/E---3.1_30028.p',associativity_multiplication_2) ).

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.48pM9RyrPd/E---3.1_30028.p',distributivity_1) ).

cnf(commutativity_addition,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',commutativity_addition) ).

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.48pM9RyrPd/E---3.1_30028.p',distributivity_2) ).

cnf(totality_of_multiplication,axiom,
    ( product(X1,X2,multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',totality_of_multiplication) ).

cnf(well_definedness_of_multiplication,axiom,
    ( defined(multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',well_definedness_of_multiplication) ).

cnf(existence_of_inverse_addition,axiom,
    ( sum(additive_inverse(X1),X1,additive_identity)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',existence_of_inverse_addition) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',a_is_defined) ).

cnf(well_definedness_of_additive_inverse,axiom,
    ( defined(additive_inverse(X1))
    | ~ defined(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',well_definedness_of_additive_inverse) ).

cnf(totality_of_addition,axiom,
    ( sum(X1,X2,add(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',totality_of_addition) ).

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.48pM9RyrPd/E---3.1_30028.p',associativity_addition_2) ).

cnf(compatibility_of_order_relation_and_addition,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X3,X4)
    | ~ sum(X3,X5,X1)
    | ~ sum(X4,X5,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',compatibility_of_order_relation_and_addition) ).

cnf(totality_of_order_relation,axiom,
    ( less_or_equal(X1,X2)
    | less_or_equal(X2,X1)
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',totality_of_order_relation) ).

cnf(not_product_2,negated_conjecture,
    ~ product(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',not_product_2) ).

cnf(antisymmetry_of_order_relation,axiom,
    ( sum(additive_identity,X1,X2)
    | ~ less_or_equal(X1,X2)
    | ~ less_or_equal(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p',antisymmetry_of_order_relation) ).

cnf(c_0_25,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    associativity_addition_1 ).

cnf(c_0_26,axiom,
    ( sum(additive_identity,X1,X1)
    | ~ defined(X1) ),
    existence_of_identity_addition ).

cnf(c_0_27,axiom,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X4,X6,X2)
    | ~ product(X5,X6,X3) ),
    associativity_multiplication_1 ).

cnf(c_0_28,axiom,
    ( product(multiplicative_identity,X1,X1)
    | ~ defined(X1) ),
    existence_of_identity_multiplication ).

cnf(c_0_29,axiom,
    ( product(multiplicative_inverse(X1),X1,multiplicative_identity)
    | sum(additive_identity,X1,additive_identity)
    | ~ defined(X1) ),
    existence_of_inverse_multiplication ).

cnf(c_0_30,axiom,
    defined(multiplicative_identity),
    well_definedness_of_multiplicative_identity ).

cnf(c_0_31,plain,
    ( sum(X1,X2,X3)
    | ~ defined(X3)
    | ~ sum(X1,X4,additive_identity)
    | ~ sum(X4,X3,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,axiom,
    defined(additive_identity),
    well_definedness_of_additive_identity ).

cnf(c_0_33,axiom,
    ( defined(multiplicative_inverse(X1))
    | sum(additive_identity,X1,additive_identity)
    | ~ defined(X1) ),
    well_definedness_of_multiplicative_inverse ).

cnf(c_0_34,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,multiplicative_identity)
    | ~ product(X4,X3,X2)
    | ~ defined(X3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

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

cnf(c_0_36,plain,
    ( product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_37,plain,
    ( sum(additive_identity,X1,X2)
    | ~ defined(X2)
    | ~ sum(additive_identity,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_32])]) ).

cnf(c_0_38,plain,
    ( defined(multiplicative_inverse(multiplicative_identity))
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(spm,[status(thm)],[c_0_33,c_0_30]) ).

cnf(c_0_39,axiom,
    ~ sum(additive_identity,additive_identity,multiplicative_identity),
    different_identities ).

cnf(c_0_40,axiom,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X6,X3) ),
    associativity_multiplication_2 ).

cnf(c_0_41,plain,
    ( product(multiplicative_identity,X1,X2)
    | ~ product(multiplicative_identity,X2,X1)
    | ~ defined(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_30])]) ).

cnf(c_0_42,plain,
    ( product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_43,plain,
    defined(multiplicative_inverse(multiplicative_identity)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_30])]),c_0_39]) ).

cnf(c_0_44,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,multiplicative_identity,X1)
    | ~ product(X4,X2,X3)
    | ~ defined(X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_28]) ).

cnf(c_0_45,plain,
    ( product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

cnf(c_0_46,plain,
    ( product(multiplicative_inverse(multiplicative_identity),X1,X2)
    | sum(additive_identity,multiplicative_identity,additive_identity)
    | ~ product(multiplicative_identity,X1,X2)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_47,plain,
    ( product(X1,multiplicative_identity,X1)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_28]) ).

cnf(c_0_48,plain,
    ( product(multiplicative_inverse(multiplicative_identity),X1,X1)
    | sum(additive_identity,multiplicative_identity,additive_identity)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_28]) ).

cnf(c_0_49,plain,
    ( product(X1,multiplicative_identity,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1)
    | ~ defined(X4) ),
    inference(spm,[status(thm)],[c_0_40,c_0_47]) ).

cnf(c_0_50,plain,
    ( product(multiplicative_inverse(multiplicative_identity),additive_identity,additive_identity)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(spm,[status(thm)],[c_0_48,c_0_32]) ).

cnf(c_0_51,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_52,plain,
    product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_47]),c_0_30])]) ).

cnf(c_0_53,plain,
    ( product(X1,multiplicative_identity,additive_identity)
    | sum(additive_identity,multiplicative_identity,additive_identity)
    | ~ product(multiplicative_inverse(multiplicative_identity),additive_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_32])]) ).

cnf(c_0_54,plain,
    ( sum(X1,X2,multiplicative_identity)
    | ~ product(X3,multiplicative_identity,X2)
    | ~ product(X4,multiplicative_identity,X1)
    | ~ sum(X4,X3,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,plain,
    ( product(additive_identity,multiplicative_identity,additive_identity)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(spm,[status(thm)],[c_0_53,c_0_50]) ).

cnf(c_0_56,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    commutativity_addition ).

cnf(c_0_57,plain,
    ( sum(additive_identity,multiplicative_identity,additive_identity)
    | sum(X1,additive_identity,multiplicative_identity)
    | ~ product(X2,multiplicative_identity,X1)
    | ~ sum(X2,additive_identity,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,plain,
    ( sum(X1,additive_identity,X1)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_26]) ).

cnf(c_0_59,plain,
    ( sum(additive_identity,multiplicative_identity,additive_identity)
    | sum(X1,additive_identity,multiplicative_identity)
    | ~ product(multiplicative_identity,multiplicative_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_30])]) ).

cnf(c_0_60,plain,
    ( sum(multiplicative_identity,additive_identity,multiplicative_identity)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_47]),c_0_30])]) ).

cnf(c_0_61,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_62,plain,
    sum(multiplicative_identity,additive_identity,multiplicative_identity),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_60]),c_0_30])]),c_0_39]) ).

cnf(c_0_63,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ defined(X2)
    | ~ sum(X4,multiplicative_identity,X1)
    | ~ sum(X5,X2,X3) ),
    inference(spm,[status(thm)],[c_0_61,c_0_28]) ).

cnf(c_0_64,plain,
    sum(additive_identity,multiplicative_identity,multiplicative_identity),
    inference(spm,[status(thm)],[c_0_56,c_0_62]) ).

cnf(c_0_65,plain,
    ( product(multiplicative_identity,X1,X2)
    | ~ product(additive_identity,X1,X3)
    | ~ defined(X1)
    | ~ sum(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_66,axiom,
    ( product(X1,X2,multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    totality_of_multiplication ).

cnf(c_0_67,plain,
    ( product(multiplicative_identity,X1,X2)
    | ~ defined(X1)
    | ~ sum(multiply(additive_identity,X1),X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_32])]) ).

cnf(c_0_68,plain,
    ( product(multiplicative_identity,additive_identity,multiply(additive_identity,additive_identity))
    | ~ defined(multiply(additive_identity,additive_identity)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_58]),c_0_32])]) ).

cnf(c_0_69,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_40,c_0_66]) ).

cnf(c_0_70,plain,
    ( product(multiplicative_identity,multiply(additive_identity,additive_identity),additive_identity)
    | ~ defined(multiply(additive_identity,additive_identity)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_68]),c_0_32])]) ).

cnf(c_0_71,plain,
    ( product(X1,additive_identity,additive_identity)
    | ~ product(multiplicative_identity,additive_identity,X1)
    | ~ defined(multiply(additive_identity,additive_identity)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_32])]) ).

cnf(c_0_72,axiom,
    ( defined(multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    well_definedness_of_multiplication ).

cnf(c_0_73,axiom,
    ( sum(additive_inverse(X1),X1,additive_identity)
    | ~ defined(X1) ),
    existence_of_inverse_addition ).

cnf(c_0_74,plain,
    ( product(X1,additive_identity,additive_identity)
    | ~ product(multiplicative_identity,additive_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_32])]) ).

cnf(c_0_75,plain,
    ( sum(X1,additive_inverse(X1),additive_identity)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_73]) ).

cnf(c_0_76,plain,
    product(additive_identity,additive_identity,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_28]),c_0_32])]) ).

cnf(c_0_77,plain,
    ( sum(X1,X2,additive_identity)
    | ~ defined(X3)
    | ~ sum(X1,X4,additive_inverse(X3))
    | ~ sum(X4,X3,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_73]) ).

cnf(c_0_78,plain,
    ( sum(additive_identity,additive_identity,additive_inverse(additive_identity))
    | ~ defined(additive_inverse(additive_identity)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_75]),c_0_32])]) ).

cnf(c_0_79,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_80,plain,
    ( product(X1,multiplicative_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_76]),c_0_32])]) ).

cnf(c_0_81,plain,
    ( sum(additive_identity,X1,additive_identity)
    | ~ defined(additive_inverse(additive_identity))
    | ~ sum(additive_identity,additive_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_32])]) ).

cnf(c_0_82,axiom,
    ( defined(additive_inverse(X1))
    | ~ defined(X1) ),
    well_definedness_of_additive_inverse ).

cnf(c_0_83,hypothesis,
    ( product(multiplicative_inverse(multiplicative_identity),a,a)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(spm,[status(thm)],[c_0_48,c_0_79]) ).

cnf(c_0_84,plain,
    product(additive_identity,multiplicative_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_80,c_0_76]) ).

cnf(c_0_85,plain,
    ( sum(additive_identity,X1,additive_identity)
    | ~ sum(additive_identity,additive_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_32])]) ).

cnf(c_0_86,axiom,
    ( sum(X1,X2,add(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    totality_of_addition ).

cnf(c_0_87,hypothesis,
    ( product(X1,multiplicative_identity,a)
    | sum(additive_identity,multiplicative_identity,additive_identity)
    | ~ product(multiplicative_inverse(multiplicative_identity),a,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_83]),c_0_79])]) ).

cnf(c_0_88,plain,
    product(multiplicative_identity,additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_35,c_0_84]) ).

cnf(c_0_89,plain,
    sum(additive_identity,add(additive_identity,additive_identity),additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_32])]) ).

cnf(c_0_90,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X3,X2)
    | ~ product(X5,X3,X1)
    | ~ defined(X3)
    | ~ sum(X5,X4,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_51,c_0_28]) ).

cnf(c_0_91,hypothesis,
    ( product(a,multiplicative_identity,a)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(spm,[status(thm)],[c_0_87,c_0_83]) ).

cnf(c_0_92,plain,
    ( product(X1,multiplicative_identity,additive_identity)
    | ~ product(multiplicative_identity,additive_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_88]),c_0_32])]) ).

cnf(c_0_93,plain,
    ( product(multiplicative_identity,additive_identity,X1)
    | ~ sum(additive_identity,additive_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_76]),c_0_32])]) ).

cnf(c_0_94,plain,
    ( sum(additive_identity,add(additive_identity,X1),X1)
    | ~ defined(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_86]),c_0_32])]) ).

cnf(c_0_95,plain,
    ( sum(X1,X2,add(X3,X4))
    | ~ defined(X4)
    | ~ defined(X3)
    | ~ sum(X5,X4,X2)
    | ~ sum(X1,X5,X3) ),
    inference(spm,[status(thm)],[c_0_25,c_0_86]) ).

cnf(c_0_96,plain,
    sum(add(additive_identity,additive_identity),additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_56,c_0_89]) ).

cnf(c_0_97,plain,
    ( sum(X1,X2,add(X2,X1))
    | ~ defined(X1)
    | ~ defined(X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_86]) ).

cnf(c_0_98,plain,
    ( sum(X1,X2,X3)
    | ~ product(multiplicative_identity,X3,X2)
    | ~ product(additive_identity,X3,X1)
    | ~ defined(X3) ),
    inference(spm,[status(thm)],[c_0_90,c_0_64]) ).

cnf(c_0_99,hypothesis,
    ( product(multiplicative_identity,a,a)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(spm,[status(thm)],[c_0_35,c_0_91]) ).

cnf(c_0_100,plain,
    ( sum(X1,additive_identity,multiplicative_identity)
    | ~ product(X2,multiplicative_identity,X1)
    | ~ sum(X2,additive_identity,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_54,c_0_84]) ).

cnf(c_0_101,plain,
    ( product(X1,multiplicative_identity,additive_identity)
    | ~ sum(additive_identity,additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_102,plain,
    ( sum(add(additive_identity,X1),additive_identity,X1)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_94]) ).

cnf(c_0_103,plain,
    ( sum(X1,additive_identity,add(X2,additive_identity))
    | ~ defined(X2)
    | ~ sum(X1,add(additive_identity,additive_identity),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_32])]) ).

cnf(c_0_104,plain,
    ( sum(additive_identity,add(X1,additive_identity),X1)
    | ~ defined(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_97]),c_0_32])]) ).

cnf(c_0_105,hypothesis,
    ( sum(additive_identity,multiplicative_identity,additive_identity)
    | sum(X1,a,a)
    | ~ product(additive_identity,a,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_79])]) ).

cnf(c_0_106,plain,
    ( ~ sum(X1,additive_identity,multiplicative_identity)
    | ~ sum(additive_identity,additive_identity,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_39]) ).

cnf(c_0_107,plain,
    ( sum(add(additive_identity,additive_identity),X1,X2)
    | ~ defined(X2)
    | ~ sum(additive_identity,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_102]),c_0_32])]) ).

cnf(c_0_108,plain,
    sum(additive_identity,additive_identity,add(additive_identity,additive_identity)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_32])]) ).

cnf(c_0_109,axiom,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X1)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X6,X3) ),
    associativity_addition_2 ).

cnf(c_0_110,hypothesis,
    ( sum(multiply(additive_identity,a),a,a)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_66]),c_0_79]),c_0_32])]) ).

cnf(c_0_111,plain,
    ~ sum(additive_identity,multiplicative_identity,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_30])]) ).

cnf(c_0_112,plain,
    ( sum(X1,additive_identity,X2)
    | ~ defined(X3)
    | ~ sum(X4,X3,X2)
    | ~ sum(X4,X3,X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_58]) ).

cnf(c_0_113,hypothesis,
    sum(multiply(additive_identity,a),a,a),
    inference(sr,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_114,hypothesis,
    ( sum(X1,additive_identity,a)
    | ~ sum(multiply(additive_identity,a),a,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_79])]) ).

cnf(c_0_115,hypothesis,
    ( product(multiplicative_inverse(a),a,multiplicative_identity)
    | sum(additive_identity,a,additive_identity) ),
    inference(spm,[status(thm)],[c_0_29,c_0_79]) ).

cnf(c_0_116,plain,
    product(multiply(multiplicative_identity,additive_identity),additive_identity,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_66]),c_0_32]),c_0_30])]) ).

cnf(c_0_117,plain,
    ( product(X1,multiplicative_identity,X2)
    | ~ product(X3,multiplicative_identity,X4)
    | ~ defined(X5)
    | ~ sum(X4,X5,X2)
    | ~ sum(X3,X5,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_47]) ).

cnf(c_0_118,hypothesis,
    sum(a,additive_identity,a),
    inference(spm,[status(thm)],[c_0_114,c_0_113]) ).

cnf(c_0_119,hypothesis,
    ( product(a,multiplicative_inverse(a),multiplicative_identity)
    | sum(additive_identity,a,additive_identity) ),
    inference(spm,[status(thm)],[c_0_35,c_0_115]) ).

cnf(c_0_120,plain,
    product(additive_identity,multiply(multiplicative_identity,additive_identity),additive_identity),
    inference(spm,[status(thm)],[c_0_35,c_0_116]) ).

cnf(c_0_121,plain,
    ( product(X1,multiplicative_identity,X2)
    | ~ defined(X3)
    | ~ defined(X4)
    | ~ sum(X4,X3,X2)
    | ~ sum(X4,X3,X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_47]) ).

cnf(c_0_122,hypothesis,
    sum(additive_identity,a,a),
    inference(spm,[status(thm)],[c_0_56,c_0_118]) ).

cnf(c_0_123,hypothesis,
    ( product(X1,multiplicative_inverse(a),X2)
    | sum(additive_identity,a,additive_identity)
    | ~ product(X3,multiplicative_identity,X2)
    | ~ product(X3,a,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_119]) ).

cnf(c_0_124,plain,
    ( product(X1,additive_identity,additive_identity)
    | ~ product(additive_identity,multiplicative_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_120]),c_0_32]),c_0_30])]) ).

cnf(c_0_125,hypothesis,
    ( product(X1,multiplicative_identity,a)
    | ~ sum(additive_identity,a,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_79]),c_0_32])]) ).

cnf(c_0_126,axiom,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X3,X4)
    | ~ sum(X3,X5,X1)
    | ~ sum(X4,X5,X2) ),
    compatibility_of_order_relation_and_addition ).

cnf(c_0_127,axiom,
    ( less_or_equal(X1,X2)
    | less_or_equal(X2,X1)
    | ~ defined(X1)
    | ~ defined(X2) ),
    totality_of_order_relation ).

cnf(c_0_128,hypothesis,
    ( product(X1,multiplicative_inverse(a),additive_identity)
    | sum(additive_identity,a,additive_identity)
    | ~ product(additive_identity,a,X1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_84]) ).

cnf(c_0_129,hypothesis,
    ( product(a,additive_identity,additive_identity)
    | ~ sum(additive_identity,a,additive_identity) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_130,negated_conjecture,
    ~ product(additive_identity,a,additive_identity),
    not_product_2 ).

cnf(c_0_131,plain,
    ( less_or_equal(X1,add(X2,X3))
    | ~ less_or_equal(X4,X2)
    | ~ defined(X3)
    | ~ defined(X2)
    | ~ sum(X4,X3,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_86]) ).

cnf(c_0_132,plain,
    sum(additive_identity,additive_identity,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_58]),c_0_32])]) ).

cnf(c_0_133,plain,
    ( less_or_equal(X1,additive_identity)
    | less_or_equal(additive_identity,X1)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_32]) ).

cnf(c_0_134,hypothesis,
    ( product(multiply(additive_identity,a),multiplicative_inverse(a),additive_identity)
    | sum(additive_identity,a,additive_identity) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_66]),c_0_79]),c_0_32])]) ).

cnf(c_0_135,hypothesis,
    ~ sum(additive_identity,a,additive_identity),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_129]),c_0_130]) ).

cnf(c_0_136,plain,
    ( less_or_equal(X1,additive_identity)
    | ~ less_or_equal(X2,add(additive_identity,additive_identity))
    | ~ sum(X2,additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_96]) ).

cnf(c_0_137,plain,
    ( less_or_equal(additive_identity,add(X1,additive_identity))
    | ~ less_or_equal(additive_identity,X1)
    | ~ defined(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_32])]) ).

cnf(c_0_138,plain,
    less_or_equal(additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_133,c_0_32]) ).

cnf(c_0_139,plain,
    ( sum(X1,X2,additive_identity)
    | ~ defined(X3)
    | ~ sum(X4,additive_inverse(X3),X2)
    | ~ sum(X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_25,c_0_75]) ).

cnf(c_0_140,hypothesis,
    ( product(X1,a,X2)
    | sum(additive_identity,a,additive_identity)
    | ~ product(X3,multiplicative_inverse(a),X1)
    | ~ product(X3,multiplicative_identity,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_115]) ).

cnf(c_0_141,hypothesis,
    product(multiply(additive_identity,a),multiplicative_inverse(a),additive_identity),
    inference(sr,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_142,plain,
    ( less_or_equal(X1,additive_identity)
    | ~ sum(additive_identity,additive_identity,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_32])]) ).

cnf(c_0_143,plain,
    ( sum(X1,additive_identity,additive_identity)
    | ~ defined(X2)
    | ~ sum(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_139,c_0_75]) ).

cnf(c_0_144,hypothesis,
    ( product(additive_identity,a,X1)
    | ~ product(multiply(additive_identity,a),multiplicative_identity,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_135]) ).

cnf(c_0_145,axiom,
    ( sum(additive_identity,X1,X2)
    | ~ less_or_equal(X1,X2)
    | ~ less_or_equal(X2,X1) ),
    antisymmetry_of_order_relation ).

cnf(c_0_146,plain,
    ( less_or_equal(X1,additive_identity)
    | ~ less_or_equal(X2,additive_identity)
    | ~ sum(X2,additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_132]) ).

cnf(c_0_147,plain,
    less_or_equal(add(additive_identity,additive_identity),additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_86]),c_0_32])]) ).

cnf(c_0_148,hypothesis,
    sum(multiply(additive_identity,a),additive_identity,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_113]),c_0_79])]) ).

cnf(c_0_149,hypothesis,
    ~ sum(additive_identity,additive_identity,multiply(additive_identity,a)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_101]),c_0_130]) ).

cnf(c_0_150,plain,
    ( sum(X1,additive_identity,X2)
    | ~ less_or_equal(X2,X1)
    | ~ less_or_equal(X1,X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_145]) ).

cnf(c_0_151,plain,
    ( less_or_equal(X1,additive_identity)
    | ~ defined(X1)
    | ~ sum(additive_identity,X1,additive_identity) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_107]),c_0_147])]) ).

cnf(c_0_152,hypothesis,
    sum(additive_identity,multiply(additive_identity,a),additive_identity),
    inference(spm,[status(thm)],[c_0_56,c_0_148]) ).

cnf(c_0_153,plain,
    ( less_or_equal(X1,X2)
    | ~ less_or_equal(X3,additive_identity)
    | ~ defined(X2)
    | ~ sum(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_26]) ).

cnf(c_0_154,hypothesis,
    ( ~ less_or_equal(multiply(additive_identity,a),additive_identity)
    | ~ less_or_equal(additive_identity,multiply(additive_identity,a)) ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_155,hypothesis,
    ( less_or_equal(multiply(additive_identity,a),additive_identity)
    | ~ defined(multiply(additive_identity,a)) ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_156,hypothesis,
    ( less_or_equal(additive_identity,multiply(additive_identity,a))
    | ~ defined(multiply(additive_identity,a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_152]),c_0_138])]) ).

cnf(c_0_157,hypothesis,
    ~ defined(multiply(additive_identity,a)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).

cnf(c_0_158,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_72]),c_0_79]),c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : FLD043-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.16  % Command    : run_E %s %d THM
% 0.14/0.37  % Computer : n011.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 2400
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Mon Oct  2 23:06:23 EDT 2023
% 0.14/0.38  % CPUTime    : 
% 0.21/0.52  Running first-order model finding
% 0.21/0.52  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.48pM9RyrPd/E---3.1_30028.p
% 11.93/2.18  # Version: 3.1pre001
% 11.93/2.18  # Preprocessing class: FSMSSMSSSSSNFFN.
% 11.93/2.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.93/2.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.93/2.18  # Starting new_bool_3 with 300s (1) cores
% 11.93/2.18  # Starting new_bool_1 with 300s (1) cores
% 11.93/2.18  # Starting sh5l with 300s (1) cores
% 11.93/2.18  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30105 completed with status 0
% 11.93/2.18  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 11.93/2.18  # Preprocessing class: FSMSSMSSSSSNFFN.
% 11.93/2.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.93/2.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.93/2.18  # No SInE strategy applied
% 11.93/2.18  # Search class: FGUNF-FFMS21-SFFFFFNN
% 11.93/2.18  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 11.93/2.18  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 11.93/2.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 11.93/2.18  # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 11.93/2.18  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 11.93/2.18  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 136s (1) cores
% 11.93/2.18  # G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 30115 completed with status 0
% 11.93/2.18  # Result found by G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.93/2.18  # Preprocessing class: FSMSSMSSSSSNFFN.
% 11.93/2.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.93/2.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.93/2.18  # No SInE strategy applied
% 11.93/2.18  # Search class: FGUNF-FFMS21-SFFFFFNN
% 11.93/2.18  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 11.93/2.18  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 11.93/2.18  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 11.93/2.18  # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 11.93/2.18  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 11.93/2.18  # Preprocessing time       : 0.001 s
% 11.93/2.18  # Presaturation interreduction done
% 11.93/2.18  
% 11.93/2.18  # Proof found!
% 11.93/2.18  # SZS status Unsatisfiable
% 11.93/2.18  # SZS output start CNFRefutation
% See solution above
% 11.93/2.18  # Parsed axioms                        : 28
% 11.93/2.18  # Removed by relevancy pruning/SinE    : 0
% 11.93/2.18  # Initial clauses                      : 28
% 11.93/2.18  # Removed in clause preprocessing      : 0
% 11.93/2.18  # Initial clauses in saturation        : 28
% 11.93/2.18  # Processed clauses                    : 12026
% 11.93/2.18  # ...of these trivial                  : 230
% 11.93/2.18  # ...subsumed                          : 7675
% 11.93/2.18  # ...remaining for further processing  : 4121
% 11.93/2.18  # Other redundant clauses eliminated   : 0
% 11.93/2.18  # Clauses deleted for lack of memory   : 0
% 11.93/2.18  # Backward-subsumed                    : 539
% 11.93/2.18  # Backward-rewritten                   : 729
% 11.93/2.18  # Generated clauses                    : 84051
% 11.93/2.18  # ...of the previous two non-redundant : 76360
% 11.93/2.18  # ...aggressively subsumed             : 0
% 11.93/2.18  # Contextual simplify-reflections      : 59
% 11.93/2.18  # Paramodulations                      : 83957
% 11.93/2.18  # Factorizations                       : 0
% 11.93/2.18  # NegExts                              : 0
% 11.93/2.18  # Equation resolutions                 : 0
% 11.93/2.18  # Total rewrite steps                  : 39830
% 11.93/2.18  # Propositional unsat checks           : 0
% 11.93/2.18  #    Propositional check models        : 0
% 11.93/2.18  #    Propositional check unsatisfiable : 0
% 11.93/2.18  #    Propositional clauses             : 0
% 11.93/2.18  #    Propositional clauses after purity: 0
% 11.93/2.18  #    Propositional unsat core size     : 0
% 11.93/2.18  #    Propositional preprocessing time  : 0.000
% 11.93/2.18  #    Propositional encoding time       : 0.000
% 11.93/2.18  #    Propositional solver time         : 0.000
% 11.93/2.18  #    Success case prop preproc time    : 0.000
% 11.93/2.18  #    Success case prop encoding time   : 0.000
% 11.93/2.18  #    Success case prop solver time     : 0.000
% 11.93/2.18  # Current number of processed clauses  : 2731
% 11.93/2.18  #    Positive orientable unit clauses  : 349
% 11.93/2.18  #    Positive unorientable unit clauses: 0
% 11.93/2.18  #    Negative unit clauses             : 121
% 11.93/2.18  #    Non-unit-clauses                  : 2261
% 11.93/2.18  # Current number of unprocessed clauses: 61847
% 11.93/2.18  # ...number of literals in the above   : 254146
% 11.93/2.18  # Current number of archived formulas  : 0
% 11.93/2.18  # Current number of archived clauses   : 1390
% 11.93/2.18  # Clause-clause subsumption calls (NU) : 506440
% 11.93/2.18  # Rec. Clause-clause subsumption calls : 302355
% 11.93/2.18  # Non-unit clause-clause subsumptions  : 6739
% 11.93/2.18  # Unit Clause-clause subsumption calls : 74090
% 11.93/2.18  # Rewrite failures with RHS unbound    : 0
% 11.93/2.18  # BW rewrite match attempts            : 729
% 11.93/2.18  # BW rewrite match successes           : 70
% 11.93/2.18  # Condensation attempts                : 0
% 11.93/2.18  # Condensation successes               : 0
% 11.93/2.18  # Termbank termtop insertions          : 1406985
% 11.93/2.18  
% 11.93/2.18  # -------------------------------------------------
% 11.93/2.18  # User time                : 1.467 s
% 11.93/2.18  # System time              : 0.043 s
% 11.93/2.18  # Total time               : 1.510 s
% 11.93/2.18  # Maximum resident set size: 1652 pages
% 11.93/2.18  
% 11.93/2.18  # -------------------------------------------------
% 11.93/2.18  # User time                : 7.120 s
% 11.93/2.18  # System time              : 0.300 s
% 11.93/2.18  # Total time               : 7.420 s
% 11.93/2.18  # Maximum resident set size: 1728 pages
% 11.93/2.18  % E---3.1 exiting
%------------------------------------------------------------------------------