TSTP Solution File: BOO015-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : BOO015-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 18:56:18 EDT 2024

% Result   : Unsatisfiable 13.59s 2.20s
% Output   : CNFRefutation 13.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   23
% Syntax   : Number of clauses     :  197 ( 108 unt;   0 nHn; 151 RR)
%            Number of literals    :  379 (  54 equ; 185 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  394 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(distributivity8,axiom,
    ( sum(X6,X2,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ product(X1,X4,X6)
    | ~ product(X3,X5,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity8) ).

cnf(multiplicative_identity1,axiom,
    product(multiplicative_identity,X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).

cnf(multiplicative_identity2,axiom,
    product(X1,multiplicative_identity,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).

cnf(addition_is_well_defined,axiom,
    ( X3 = X4
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).

cnf(commutativity_of_addition,axiom,
    ( sum(X2,X1,X3)
    | ~ sum(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).

cnf(additive_inverse1,axiom,
    sum(inverse(X1),X1,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).

cnf(closure_of_addition,axiom,
    sum(X1,X2,add(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',closure_of_addition) ).

cnf(distributivity1,axiom,
    ( sum(X3,X5,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity1) ).

cnf(multiplication_is_well_defined,axiom,
    ( X3 = X4
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplication_is_well_defined) ).

cnf(commutativity_of_multiplication,axiom,
    ( product(X2,X1,X3)
    | ~ product(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).

cnf(closure_of_multiplication,axiom,
    product(X1,X2,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).

cnf(additive_identity2,axiom,
    sum(X1,additive_identity,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).

cnf(distributivity7,axiom,
    ( product(X3,X5,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ product(X1,X4,X6)
    | ~ sum(X6,X2,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity7) ).

cnf(x_times_y,negated_conjecture,
    product(x,y,x_times_y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_times_y) ).

cnf(additive_identity1,axiom,
    sum(additive_identity,X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).

cnf(multiplicative_inverse2,axiom,
    product(X1,inverse(X1),additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).

cnf(distributivity4,axiom,
    ( product(X6,X2,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | ~ sum(X3,X5,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity4) ).

cnf(x_inverse_plus_y_inverse,negated_conjecture,
    sum(inverse(x),inverse(y),x_inverse_plus_y_inverse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_inverse_plus_y_inverse) ).

cnf(multiplicative_inverse1,axiom,
    product(inverse(X1),X1,additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse1) ).

cnf(additive_inverse2,axiom,
    sum(X1,inverse(X1),multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).

cnf(distributivity6,axiom,
    ( sum(X1,X6,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X3,X5,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity6) ).

cnf(distributivity5,axiom,
    ( product(X3,X5,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ sum(X1,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity5) ).

cnf(prove_equation,negated_conjecture,
    inverse(x_times_y) != x_inverse_plus_y_inverse,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).

cnf(c_0_23,plain,
    ( sum(X6,X2,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ product(X1,X4,X6)
    | ~ product(X3,X5,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity8]) ).

cnf(c_0_24,plain,
    ( sum(X6,X2,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ product(X1,X4,X6)
    | ~ product(X3,X5,X7) ),
    c_0_23 ).

cnf(c_0_25,axiom,
    product(multiplicative_identity,X1,X1),
    multiplicative_identity1 ).

cnf(c_0_26,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ sum(X4,X2,multiplicative_identity)
    | ~ sum(X5,X2,X3) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,axiom,
    product(X1,multiplicative_identity,X1),
    multiplicative_identity2 ).

cnf(c_0_28,plain,
    ( X3 = X4
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X2,X4) ),
    inference(fof_simplification,[status(thm)],[addition_is_well_defined]) ).

cnf(c_0_29,plain,
    ( sum(X2,X1,X3)
    | ~ sum(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[commutativity_of_addition]) ).

cnf(c_0_30,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X2,multiplicative_identity)
    | ~ sum(multiplicative_identity,X2,X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,axiom,
    sum(inverse(X1),X1,multiplicative_identity),
    additive_inverse1 ).

cnf(c_0_32,plain,
    ( X3 = X4
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X2,X4) ),
    c_0_28 ).

cnf(c_0_33,axiom,
    sum(X1,X2,add(X1,X2)),
    closure_of_addition ).

cnf(c_0_34,plain,
    ( sum(X2,X1,X3)
    | ~ sum(X1,X2,X3) ),
    c_0_29 ).

cnf(c_0_35,plain,
    ( sum(inverse(X1),X1,X2)
    | ~ sum(multiplicative_identity,X1,X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,plain,
    ( X1 = add(X2,X3)
    | ~ sum(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,plain,
    sum(X1,X2,add(X2,X1)),
    inference(spm,[status(thm)],[c_0_34,c_0_33]) ).

cnf(c_0_38,plain,
    ( X1 = multiplicative_identity
    | ~ sum(inverse(X2),X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_31]) ).

cnf(c_0_39,plain,
    ( sum(X3,X5,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X6,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity1]) ).

cnf(c_0_40,plain,
    sum(inverse(X1),X1,add(multiplicative_identity,X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_33]) ).

cnf(c_0_41,plain,
    add(X1,X2) = add(X2,X1),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_42,plain,
    add(X1,inverse(X1)) = multiplicative_identity,
    inference(spm,[status(thm)],[c_0_38,c_0_37]) ).

cnf(c_0_43,plain,
    ( sum(X3,X5,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X6,X7) ),
    c_0_39 ).

cnf(c_0_44,plain,
    add(multiplicative_identity,X1) = multiplicative_identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_40]),c_0_41]),c_0_42]) ).

cnf(c_0_45,plain,
    ( X3 = X4
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    inference(fof_simplification,[status(thm)],[multiplication_is_well_defined]) ).

cnf(c_0_46,plain,
    ( product(X2,X1,X3)
    | ~ product(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[commutativity_of_multiplication]) ).

cnf(c_0_47,plain,
    ( sum(X1,X2,X3)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X5,X1)
    | ~ sum(X5,X4,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_43,c_0_27]) ).

cnf(c_0_48,plain,
    sum(X1,multiplicative_identity,multiplicative_identity),
    inference(spm,[status(thm)],[c_0_37,c_0_44]) ).

cnf(c_0_49,plain,
    ( X3 = X4
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    c_0_45 ).

cnf(c_0_50,axiom,
    product(X1,X2,multiply(X1,X2)),
    closure_of_multiplication ).

cnf(c_0_51,plain,
    ( product(X2,X1,X3)
    | ~ product(X1,X2,X3) ),
    c_0_46 ).

cnf(c_0_52,axiom,
    sum(X1,additive_identity,X1),
    additive_identity2 ).

cnf(c_0_53,plain,
    ( sum(X1,X2,X2)
    | ~ product(X2,X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_27]),c_0_48])]) ).

cnf(c_0_54,plain,
    ( product(X3,X5,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ product(X1,X4,X6)
    | ~ sum(X6,X2,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity7]) ).

cnf(c_0_55,plain,
    ( X1 = multiply(X2,X3)
    | ~ product(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,plain,
    product(X1,X2,multiply(X2,X1)),
    inference(spm,[status(thm)],[c_0_51,c_0_50]) ).

cnf(c_0_57,plain,
    ( X1 = X2
    | ~ sum(X2,additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_52]) ).

cnf(c_0_58,plain,
    sum(multiply(X1,X2),X1,X1),
    inference(spm,[status(thm)],[c_0_53,c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    product(x,y,x_times_y),
    x_times_y ).

cnf(c_0_60,plain,
    ( product(X3,X5,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ product(X1,X4,X6)
    | ~ sum(X6,X2,X7) ),
    c_0_54 ).

cnf(c_0_61,plain,
    multiply(X1,X2) = multiply(X2,X1),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_62,plain,
    multiply(additive_identity,X1) = additive_identity,
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    product(y,x,x_times_y),
    inference(spm,[status(thm)],[c_0_51,c_0_59]) ).

cnf(c_0_64,plain,
    ( product(X1,X2,X3)
    | ~ sum(multiply(X4,X5),X6,X3)
    | ~ sum(X5,X6,X2)
    | ~ sum(X4,X6,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_50]) ).

cnf(c_0_65,axiom,
    sum(additive_identity,X1,X1),
    additive_identity1 ).

cnf(c_0_66,plain,
    multiply(X1,additive_identity) = additive_identity,
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_67,negated_conjecture,
    sum(x_times_y,x,x),
    inference(spm,[status(thm)],[c_0_53,c_0_59]) ).

cnf(c_0_68,negated_conjecture,
    sum(x_times_y,y,y),
    inference(spm,[status(thm)],[c_0_53,c_0_63]) ).

cnf(c_0_69,plain,
    ( product(X1,X2,X3)
    | ~ sum(additive_identity,X2,X3)
    | ~ sum(X4,X2,X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    sum(x,x_times_y,x),
    inference(spm,[status(thm)],[c_0_34,c_0_67]) ).

cnf(c_0_71,plain,
    ( X1 = X2
    | ~ sum(additive_identity,X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_65]) ).

cnf(c_0_72,negated_conjecture,
    sum(y,x_times_y,y),
    inference(spm,[status(thm)],[c_0_34,c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    ( product(x,x_times_y,X1)
    | ~ sum(additive_identity,x_times_y,X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_74,plain,
    add(additive_identity,X1) = X1,
    inference(spm,[status(thm)],[c_0_71,c_0_33]) ).

cnf(c_0_75,negated_conjecture,
    ( product(y,x_times_y,X1)
    | ~ sum(additive_identity,x_times_y,X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_72]) ).

cnf(c_0_76,plain,
    ( sum(X1,X2,multiply(X3,X4))
    | ~ product(X3,X5,X2)
    | ~ product(X3,X6,X1)
    | ~ sum(X6,X5,X4) ),
    inference(spm,[status(thm)],[c_0_43,c_0_50]) ).

cnf(c_0_77,axiom,
    product(X1,inverse(X1),additive_identity),
    multiplicative_inverse2 ).

cnf(c_0_78,negated_conjecture,
    product(x,x_times_y,x_times_y),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_33]),c_0_74]) ).

cnf(c_0_79,negated_conjecture,
    product(y,x_times_y,x_times_y),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_33]),c_0_74]) ).

cnf(c_0_80,plain,
    ( sum(X1,additive_identity,multiply(X2,X3))
    | ~ product(X2,X4,X1)
    | ~ sum(X4,inverse(X2),X3) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,negated_conjecture,
    product(x_times_y,x,x_times_y),
    inference(spm,[status(thm)],[c_0_51,c_0_78]) ).

cnf(c_0_82,negated_conjecture,
    product(x_times_y,y,x_times_y),
    inference(spm,[status(thm)],[c_0_51,c_0_79]) ).

cnf(c_0_83,negated_conjecture,
    ( sum(x_times_y,additive_identity,multiply(x_times_y,X1))
    | ~ sum(x,inverse(x_times_y),X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_84,negated_conjecture,
    ( sum(x_times_y,additive_identity,multiply(x_times_y,X1))
    | ~ sum(y,inverse(x_times_y),X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_82]) ).

cnf(c_0_85,plain,
    ( sum(X1,X2,multiply(X3,X4))
    | ~ product(X5,X6,X1)
    | ~ sum(X6,X2,X4)
    | ~ sum(X5,X2,X3) ),
    inference(spm,[status(thm)],[c_0_24,c_0_50]) ).

cnf(c_0_86,plain,
    ( X1 = X2
    | ~ product(X2,multiplicative_identity,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_27]) ).

cnf(c_0_87,plain,
    sum(multiply(X1,X2),X2,X2),
    inference(spm,[status(thm)],[c_0_53,c_0_56]) ).

cnf(c_0_88,negated_conjecture,
    sum(x_times_y,additive_identity,multiply(x_times_y,add(x,inverse(x_times_y)))),
    inference(spm,[status(thm)],[c_0_83,c_0_33]) ).

cnf(c_0_89,plain,
    add(X1,additive_identity) = X1,
    inference(spm,[status(thm)],[c_0_71,c_0_37]) ).

cnf(c_0_90,plain,
    ( product(add(X1,X2),X2,X3)
    | ~ sum(additive_identity,X2,X3) ),
    inference(spm,[status(thm)],[c_0_69,c_0_33]) ).

cnf(c_0_91,negated_conjecture,
    sum(x_times_y,additive_identity,multiply(x_times_y,add(y,inverse(x_times_y)))),
    inference(spm,[status(thm)],[c_0_84,c_0_33]) ).

cnf(c_0_92,negated_conjecture,
    ( sum(x_times_y,X1,X2)
    | ~ sum(x,X1,multiplicative_identity)
    | ~ sum(y,X1,X2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_59]) ).

cnf(c_0_93,plain,
    ( sum(multiply(X1,X2),X3,multiply(X4,X5))
    | ~ sum(X1,X3,X5)
    | ~ sum(X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_85,c_0_56]) ).

cnf(c_0_94,plain,
    multiply(X1,multiplicative_identity) = X1,
    inference(spm,[status(thm)],[c_0_86,c_0_50]) ).

cnf(c_0_95,plain,
    sum(X1,multiply(X2,X1),X1),
    inference(spm,[status(thm)],[c_0_34,c_0_87]) ).

cnf(c_0_96,negated_conjecture,
    multiply(x_times_y,add(x,inverse(x_times_y))) = x_times_y,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_88]),c_0_89]) ).

cnf(c_0_97,plain,
    product(add(X1,X2),X2,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_33]),c_0_74]) ).

cnf(c_0_98,negated_conjecture,
    multiply(x_times_y,add(y,inverse(x_times_y))) = x_times_y,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_91]),c_0_89]) ).

cnf(c_0_99,plain,
    ( product(X6,X2,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | ~ sum(X3,X5,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity4]) ).

cnf(c_0_100,negated_conjecture,
    sum(inverse(x),inverse(y),x_inverse_plus_y_inverse),
    x_inverse_plus_y_inverse ).

cnf(c_0_101,plain,
    ( X1 = X2
    | ~ sum(multiply(X2,X3),X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_58]) ).

cnf(c_0_102,plain,
    ( sum(additive_identity,X1,X2)
    | ~ sum(inverse(X3),X1,X2)
    | ~ sum(X3,X1,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_26,c_0_77]) ).

cnf(c_0_103,axiom,
    product(inverse(X1),X1,additive_identity),
    multiplicative_inverse1 ).

cnf(c_0_104,negated_conjecture,
    ( sum(x_times_y,X1,add(y,X1))
    | ~ sum(x,X1,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_92,c_0_33]) ).

cnf(c_0_105,axiom,
    sum(X1,inverse(X1),multiplicative_identity),
    additive_inverse2 ).

cnf(c_0_106,plain,
    ( sum(multiply(inverse(X1),X2),X1,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_31]),c_0_94]) ).

cnf(c_0_107,negated_conjecture,
    sum(add(x,inverse(x_times_y)),x_times_y,add(x,inverse(x_times_y))),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_108,plain,
    multiply(X1,add(X2,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_97]),c_0_61]) ).

cnf(c_0_109,negated_conjecture,
    sum(add(y,inverse(x_times_y)),x_times_y,add(y,inverse(x_times_y))),
    inference(spm,[status(thm)],[c_0_95,c_0_98]) ).

cnf(c_0_110,plain,
    ( product(X6,X2,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | ~ sum(X3,X5,X7) ),
    c_0_99 ).

cnf(c_0_111,negated_conjecture,
    ( product(x_inverse_plus_y_inverse,inverse(y),X1)
    | ~ sum(additive_identity,inverse(y),X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_100]) ).

cnf(c_0_112,plain,
    ( X1 = X2
    | ~ sum(multiply(X3,X2),X2,X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_61]) ).

cnf(c_0_113,plain,
    ( sum(additive_identity,X1,X2)
    | ~ sum(inverse(inverse(X1)),X1,X2) ),
    inference(spm,[status(thm)],[c_0_102,c_0_31]) ).

cnf(c_0_114,plain,
    ( product(X1,X2,X3)
    | ~ sum(inverse(X4),X5,X1)
    | ~ sum(additive_identity,X5,X3)
    | ~ sum(X4,X5,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_103]) ).

cnf(c_0_115,negated_conjecture,
    sum(x_times_y,inverse(x),add(y,inverse(x))),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_116,plain,
    ( X1 = add(X2,X3)
    | ~ sum(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_37]) ).

cnf(c_0_117,negated_conjecture,
    sum(inverse(x_times_y),x_times_y,add(x,inverse(x_times_y))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).

cnf(c_0_118,negated_conjecture,
    sum(inverse(x_times_y),x_times_y,add(y,inverse(x_times_y))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_109]),c_0_108]) ).

cnf(c_0_119,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X4,inverse(X2),X1)
    | ~ sum(X5,additive_identity,X3) ),
    inference(spm,[status(thm)],[c_0_110,c_0_103]) ).

cnf(c_0_120,negated_conjecture,
    product(x_inverse_plus_y_inverse,inverse(y),inverse(y)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_33]),c_0_74]) ).

cnf(c_0_121,plain,
    ( X1 = add(X2,X3)
    | ~ sum(X3,add(X2,X3),X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_108]) ).

cnf(c_0_122,plain,
    sum(additive_identity,X1,add(X1,inverse(inverse(X1)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_33]),c_0_41]) ).

cnf(c_0_123,negated_conjecture,
    ( product(X1,add(y,inverse(x)),X2)
    | ~ sum(inverse(x_times_y),inverse(x),X1)
    | ~ sum(additive_identity,inverse(x),X2) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_124,negated_conjecture,
    add(x,inverse(x_times_y)) = multiplicative_identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_42]) ).

cnf(c_0_125,plain,
    ( X1 = X2
    | ~ product(multiplicative_identity,X2,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_25]) ).

cnf(c_0_126,negated_conjecture,
    add(y,inverse(x_times_y)) = multiplicative_identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_118]),c_0_42]) ).

cnf(c_0_127,negated_conjecture,
    ( product(X1,inverse(y),X2)
    | ~ sum(x_inverse_plus_y_inverse,inverse(inverse(y)),X1)
    | ~ sum(inverse(y),additive_identity,X2) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_128,plain,
    add(X1,inverse(inverse(X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_89]),c_0_89]),c_0_89]) ).

cnf(c_0_129,negated_conjecture,
    ( product(X1,add(y,inverse(x)),inverse(x))
    | ~ sum(inverse(x_times_y),inverse(x),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_33]),c_0_74]) ).

cnf(c_0_130,plain,
    ( sum(additive_identity,X1,multiply(X2,X3))
    | ~ sum(inverse(X4),X1,X3)
    | ~ sum(X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_85,c_0_77]) ).

cnf(c_0_131,negated_conjecture,
    sum(x,inverse(x_times_y),multiplicative_identity),
    inference(spm,[status(thm)],[c_0_33,c_0_124]) ).

cnf(c_0_132,plain,
    multiply(multiplicative_identity,X1) = X1,
    inference(spm,[status(thm)],[c_0_125,c_0_50]) ).

cnf(c_0_133,negated_conjecture,
    sum(y,inverse(x_times_y),multiplicative_identity),
    inference(spm,[status(thm)],[c_0_33,c_0_126]) ).

cnf(c_0_134,plain,
    ( sum(X1,X6,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X3,X5,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity6]) ).

cnf(c_0_135,negated_conjecture,
    ( product(X1,inverse(y),inverse(y))
    | ~ sum(x_inverse_plus_y_inverse,inverse(inverse(y)),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_33]),c_0_89]) ).

cnf(c_0_136,plain,
    ( sum(additive_identity,X1,X2)
    | ~ sum(inverse(X3),X1,multiplicative_identity)
    | ~ sum(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_103]) ).

cnf(c_0_137,plain,
    sum(X1,inverse(inverse(X1)),X1),
    inference(spm,[status(thm)],[c_0_33,c_0_128]) ).

cnf(c_0_138,negated_conjecture,
    sum(inverse(y),inverse(x),x_inverse_plus_y_inverse),
    inference(spm,[status(thm)],[c_0_34,c_0_100]) ).

cnf(c_0_139,negated_conjecture,
    product(add(inverse(x),inverse(x_times_y)),add(y,inverse(x)),inverse(x)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_33]),c_0_41]) ).

cnf(c_0_140,negated_conjecture,
    ( sum(additive_identity,inverse(x_times_y),X1)
    | ~ sum(inverse(x),inverse(x_times_y),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).

cnf(c_0_141,plain,
    ( X1 = X2
    | ~ product(add(X3,X2),X2,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_97]) ).

cnf(c_0_142,negated_conjecture,
    ( sum(additive_identity,inverse(x_times_y),X1)
    | ~ sum(inverse(y),inverse(x_times_y),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_133]),c_0_132]) ).

cnf(c_0_143,plain,
    ( sum(X1,X6,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X3,X5,X7) ),
    c_0_134 ).

cnf(c_0_144,negated_conjecture,
    product(add(x_inverse_plus_y_inverse,inverse(inverse(y))),inverse(y),inverse(y)),
    inference(spm,[status(thm)],[c_0_135,c_0_33]) ).

cnf(c_0_145,plain,
    sum(additive_identity,inverse(inverse(X1)),X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_105])]) ).

cnf(c_0_146,negated_conjecture,
    ( product(x_inverse_plus_y_inverse,inverse(x),X1)
    | ~ sum(additive_identity,inverse(x),X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_138]) ).

cnf(c_0_147,negated_conjecture,
    sum(inverse(x),add(inverse(x),inverse(x_times_y)),add(inverse(x),inverse(x_times_y))),
    inference(spm,[status(thm)],[c_0_53,c_0_139]) ).

cnf(c_0_148,negated_conjecture,
    sum(additive_identity,inverse(x_times_y),add(inverse(x),inverse(x_times_y))),
    inference(spm,[status(thm)],[c_0_140,c_0_33]) ).

cnf(c_0_149,plain,
    ( X1 = X2
    | ~ product(add(X2,X3),X2,X1) ),
    inference(spm,[status(thm)],[c_0_141,c_0_41]) ).

cnf(c_0_150,negated_conjecture,
    sum(additive_identity,inverse(x_times_y),add(inverse(y),inverse(x_times_y))),
    inference(spm,[status(thm)],[c_0_142,c_0_33]) ).

cnf(c_0_151,plain,
    ( sum(X1,X2,multiply(X3,X4))
    | ~ product(X5,X6,X2)
    | ~ sum(X1,X6,X4)
    | ~ sum(X1,X5,X3) ),
    inference(spm,[status(thm)],[c_0_143,c_0_50]) ).

cnf(c_0_152,negated_conjecture,
    multiply(inverse(y),add(x_inverse_plus_y_inverse,inverse(inverse(y)))) = inverse(y),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_144]),c_0_61]) ).

cnf(c_0_153,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_145]),c_0_74]) ).

cnf(c_0_154,negated_conjecture,
    product(x_inverse_plus_y_inverse,inverse(x),inverse(x)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_33]),c_0_74]) ).

cnf(c_0_155,plain,
    ( product(X3,X5,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ sum(X1,X6,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity5]) ).

cnf(c_0_156,negated_conjecture,
    sum(add(inverse(x),inverse(x_times_y)),inverse(x),add(inverse(x),inverse(x_times_y))),
    inference(spm,[status(thm)],[c_0_34,c_0_147]) ).

cnf(c_0_157,negated_conjecture,
    add(inverse(x),inverse(x_times_y)) = inverse(x_times_y),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_148]),c_0_74]) ).

cnf(c_0_158,plain,
    multiply(X1,add(X1,X2)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_50]),c_0_61]) ).

cnf(c_0_159,negated_conjecture,
    add(inverse(y),inverse(x_times_y)) = inverse(x_times_y),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_150]),c_0_74]) ).

cnf(c_0_160,plain,
    ( sum(X1,multiply(X2,X3),multiply(X4,X5))
    | ~ sum(X1,X2,X5)
    | ~ sum(X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_56]) ).

cnf(c_0_161,negated_conjecture,
    multiply(inverse(y),add(y,x_inverse_plus_y_inverse)) = inverse(y),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_41]) ).

cnf(c_0_162,negated_conjecture,
    ( product(X1,inverse(x),X2)
    | ~ sum(x_inverse_plus_y_inverse,inverse(inverse(x)),X1)
    | ~ sum(inverse(x),additive_identity,X2) ),
    inference(spm,[status(thm)],[c_0_119,c_0_154]) ).

cnf(c_0_163,plain,
    ( product(X3,X5,X7)
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ sum(X1,X6,X7) ),
    c_0_155 ).

cnf(c_0_164,negated_conjecture,
    ( product(X1,x_inverse_plus_y_inverse,X2)
    | ~ sum(multiply(X3,inverse(y)),inverse(x),X2)
    | ~ sum(X3,inverse(x),X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_138]) ).

cnf(c_0_165,negated_conjecture,
    sum(inverse(x_times_y),inverse(x),inverse(x_times_y)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157]),c_0_157]) ).

cnf(c_0_166,negated_conjecture,
    multiply(inverse(y),inverse(x_times_y)) = inverse(y),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_167,negated_conjecture,
    ( X1 = x_inverse_plus_y_inverse
    | ~ sum(inverse(x),inverse(y),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_100]) ).

cnf(c_0_168,plain,
    ( sum(X1,multiply(inverse(X1),X2),X3)
    | ~ sum(X1,X2,X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_105]),c_0_94]) ).

cnf(c_0_169,negated_conjecture,
    sum(inverse(y),add(y,x_inverse_plus_y_inverse),add(y,x_inverse_plus_y_inverse)),
    inference(spm,[status(thm)],[c_0_87,c_0_161]) ).

cnf(c_0_170,negated_conjecture,
    ( product(X1,inverse(x),inverse(x))
    | ~ sum(x_inverse_plus_y_inverse,inverse(inverse(x)),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_33]),c_0_89]) ).

cnf(c_0_171,plain,
    ( product(X1,X2,X3)
    | ~ sum(X4,inverse(X5),X1)
    | ~ sum(X4,additive_identity,X3)
    | ~ sum(X4,X5,X2) ),
    inference(spm,[status(thm)],[c_0_163,c_0_103]) ).

cnf(c_0_172,negated_conjecture,
    ( product(inverse(x_times_y),x_inverse_plus_y_inverse,X1)
    | ~ sum(inverse(y),inverse(x),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_61]),c_0_166]) ).

cnf(c_0_173,negated_conjecture,
    add(inverse(x),inverse(y)) = x_inverse_plus_y_inverse,
    inference(spm,[status(thm)],[c_0_167,c_0_33]) ).

cnf(c_0_174,negated_conjecture,
    sum(inverse(y),y,add(y,x_inverse_plus_y_inverse)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_153]),c_0_158]) ).

cnf(c_0_175,negated_conjecture,
    product(add(x_inverse_plus_y_inverse,inverse(inverse(x))),inverse(x),inverse(x)),
    inference(spm,[status(thm)],[c_0_170,c_0_33]) ).

cnf(c_0_176,plain,
    ( product(X1,add(X2,X3),X4)
    | ~ sum(X2,inverse(X3),X1)
    | ~ sum(X2,additive_identity,X4) ),
    inference(spm,[status(thm)],[c_0_171,c_0_33]) ).

cnf(c_0_177,negated_conjecture,
    product(inverse(x_times_y),x_inverse_plus_y_inverse,x_inverse_plus_y_inverse),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_33]),c_0_41]),c_0_173]) ).

cnf(c_0_178,negated_conjecture,
    ( sum(x_times_y,X1,multiply(X2,X3))
    | ~ sum(x,X1,X3)
    | ~ sum(y,X1,X2) ),
    inference(spm,[status(thm)],[c_0_85,c_0_63]) ).

cnf(c_0_179,negated_conjecture,
    add(y,x_inverse_plus_y_inverse) = multiplicative_identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_174]),c_0_42]) ).

cnf(c_0_180,negated_conjecture,
    multiply(inverse(x),add(x_inverse_plus_y_inverse,inverse(inverse(x)))) = inverse(x),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_175]),c_0_61]) ).

cnf(c_0_181,plain,
    ( product(X1,add(X2,X3),X2)
    | ~ sum(X2,inverse(X3),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_33]),c_0_89]) ).

cnf(c_0_182,negated_conjecture,
    sum(x_inverse_plus_y_inverse,inverse(x_times_y),inverse(x_times_y)),
    inference(spm,[status(thm)],[c_0_53,c_0_177]) ).

cnf(c_0_183,negated_conjecture,
    ( sum(x_times_y,X1,multiply(X2,add(X1,x)))
    | ~ sum(y,X1,X2) ),
    inference(spm,[status(thm)],[c_0_178,c_0_37]) ).

cnf(c_0_184,negated_conjecture,
    sum(y,x_inverse_plus_y_inverse,multiplicative_identity),
    inference(spm,[status(thm)],[c_0_33,c_0_179]) ).

cnf(c_0_185,negated_conjecture,
    multiply(inverse(x),add(x,x_inverse_plus_y_inverse)) = inverse(x),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_153]),c_0_41]) ).

cnf(c_0_186,negated_conjecture,
    product(inverse(x_times_y),add(x_times_y,x_inverse_plus_y_inverse),x_inverse_plus_y_inverse),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_41]) ).

cnf(c_0_187,negated_conjecture,
    sum(x_times_y,x_inverse_plus_y_inverse,add(x,x_inverse_plus_y_inverse)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_41]),c_0_132]) ).

cnf(c_0_188,negated_conjecture,
    sum(inverse(x),add(x,x_inverse_plus_y_inverse),add(x,x_inverse_plus_y_inverse)),
    inference(spm,[status(thm)],[c_0_87,c_0_185]) ).

cnf(c_0_189,negated_conjecture,
    multiply(inverse(x_times_y),add(x_times_y,x_inverse_plus_y_inverse)) = x_inverse_plus_y_inverse,
    inference(spm,[status(thm)],[c_0_55,c_0_186]) ).

cnf(c_0_190,negated_conjecture,
    add(x_times_y,x_inverse_plus_y_inverse) = add(x,x_inverse_plus_y_inverse),
    inference(spm,[status(thm)],[c_0_36,c_0_187]) ).

cnf(c_0_191,negated_conjecture,
    sum(inverse(x),x,add(x,x_inverse_plus_y_inverse)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_188]),c_0_153]),c_0_158]) ).

cnf(c_0_192,negated_conjecture,
    inverse(x_times_y) != x_inverse_plus_y_inverse,
    inference(fof_simplification,[status(thm)],[prove_equation]) ).

cnf(c_0_193,negated_conjecture,
    multiply(inverse(x_times_y),add(x,x_inverse_plus_y_inverse)) = x_inverse_plus_y_inverse,
    inference(rw,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_194,negated_conjecture,
    add(x,x_inverse_plus_y_inverse) = multiplicative_identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_191]),c_0_42]) ).

cnf(c_0_195,negated_conjecture,
    inverse(x_times_y) != x_inverse_plus_y_inverse,
    c_0_192 ).

cnf(c_0_196,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194]),c_0_94]),c_0_195]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : BOO015-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sat May 18 14:26:37 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 13.59/2.20  # Version: 3.1.0
% 13.59/2.20  # Preprocessing class: FSMSSMSSSSSNFFN.
% 13.59/2.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.59/2.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 13.59/2.20  # Starting new_bool_3 with 300s (1) cores
% 13.59/2.20  # Starting new_bool_1 with 300s (1) cores
% 13.59/2.20  # Starting sh5l with 300s (1) cores
% 13.59/2.20  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23668 completed with status 0
% 13.59/2.20  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 13.59/2.20  # Preprocessing class: FSMSSMSSSSSNFFN.
% 13.59/2.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.59/2.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 13.59/2.20  # No SInE strategy applied
% 13.59/2.20  # Search class: FHUSM-FFMF21-SFFFFFNN
% 13.59/2.20  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 13.59/2.20  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 13.59/2.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 13.59/2.20  # Starting new_bool_3 with 136s (1) cores
% 13.59/2.20  # Starting new_bool_1 with 136s (1) cores
% 13.59/2.20  # Starting sh5l with 136s (1) cores
% 13.59/2.20  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 23672 completed with status 0
% 13.59/2.20  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 13.59/2.20  # Preprocessing class: FSMSSMSSSSSNFFN.
% 13.59/2.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.59/2.20  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 13.59/2.20  # No SInE strategy applied
% 13.59/2.20  # Search class: FHUSM-FFMF21-SFFFFFNN
% 13.59/2.20  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 13.59/2.20  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 13.59/2.20  # Preprocessing time       : 0.001 s
% 13.59/2.20  # Presaturation interreduction done
% 13.59/2.20  
% 13.59/2.20  # Proof found!
% 13.59/2.20  # SZS status Unsatisfiable
% 13.59/2.20  # SZS output start CNFRefutation
% See solution above
% 13.59/2.20  # Parsed axioms                        : 25
% 13.59/2.20  # Removed by relevancy pruning/SinE    : 0
% 13.59/2.20  # Initial clauses                      : 25
% 13.59/2.20  # Removed in clause preprocessing      : 0
% 13.59/2.20  # Initial clauses in saturation        : 25
% 13.59/2.20  # Processed clauses                    : 19199
% 13.59/2.20  # ...of these trivial                  : 888
% 13.59/2.20  # ...subsumed                          : 12781
% 13.59/2.20  # ...remaining for further processing  : 5530
% 13.59/2.20  # Other redundant clauses eliminated   : 0
% 13.59/2.20  # Clauses deleted for lack of memory   : 0
% 13.59/2.20  # Backward-subsumed                    : 198
% 13.59/2.20  # Backward-rewritten                   : 676
% 13.59/2.20  # Generated clauses                    : 83155
% 13.59/2.20  # ...of the previous two non-redundant : 70013
% 13.59/2.20  # ...aggressively subsumed             : 0
% 13.59/2.20  # Contextual simplify-reflections      : 0
% 13.59/2.20  # Paramodulations                      : 83155
% 13.59/2.20  # Factorizations                       : 0
% 13.59/2.20  # NegExts                              : 0
% 13.59/2.20  # Equation resolutions                 : 0
% 13.59/2.20  # Disequality decompositions           : 0
% 13.59/2.20  # Total rewrite steps                  : 38995
% 13.59/2.20  # ...of those cached                   : 37273
% 13.59/2.20  # Propositional unsat checks           : 1
% 13.59/2.20  #    Propositional check models        : 0
% 13.59/2.20  #    Propositional check unsatisfiable : 0
% 13.59/2.20  #    Propositional clauses             : 0
% 13.59/2.20  #    Propositional clauses after purity: 0
% 13.59/2.20  #    Propositional unsat core size     : 0
% 13.59/2.20  #    Propositional preprocessing time  : 0.000
% 13.59/2.20  #    Propositional encoding time       : 0.040
% 13.59/2.20  #    Propositional solver time         : 0.035
% 13.59/2.20  #    Success case prop preproc time    : 0.000
% 13.59/2.20  #    Success case prop encoding time   : 0.000
% 13.59/2.20  #    Success case prop solver time     : 0.000
% 13.59/2.20  # Current number of processed clauses  : 4631
% 13.59/2.20  #    Positive orientable unit clauses  : 360
% 13.59/2.20  #    Positive unorientable unit clauses: 2
% 13.59/2.20  #    Negative unit clauses             : 1
% 13.59/2.20  #    Non-unit-clauses                  : 4268
% 13.59/2.20  # Current number of unprocessed clauses: 49082
% 13.59/2.20  # ...number of literals in the above   : 109314
% 13.59/2.20  # Current number of archived formulas  : 0
% 13.59/2.20  # Current number of archived clauses   : 899
% 13.59/2.20  # Clause-clause subsumption calls (NU) : 1970541
% 13.59/2.20  # Rec. Clause-clause subsumption calls : 1711757
% 13.59/2.20  # Non-unit clause-clause subsumptions  : 12977
% 13.59/2.20  # Unit Clause-clause subsumption calls : 1102
% 13.59/2.20  # Rewrite failures with RHS unbound    : 0
% 13.59/2.20  # BW rewrite match attempts            : 1349
% 13.59/2.20  # BW rewrite match successes           : 96
% 13.59/2.20  # Condensation attempts                : 0
% 13.59/2.20  # Condensation successes               : 0
% 13.59/2.20  # Termbank termtop insertions          : 1433897
% 13.59/2.20  # Search garbage collected termcells   : 68
% 13.59/2.20  
% 13.59/2.20  # -------------------------------------------------
% 13.59/2.20  # User time                : 1.717 s
% 13.59/2.20  # System time              : 0.042 s
% 13.59/2.20  # Total time               : 1.759 s
% 13.59/2.20  # Maximum resident set size: 1648 pages
% 13.59/2.20  
% 13.59/2.20  # -------------------------------------------------
% 13.59/2.20  # User time                : 8.664 s
% 13.59/2.20  # System time              : 0.080 s
% 13.59/2.20  # Total time               : 8.743 s
% 13.59/2.20  # Maximum resident set size: 1764 pages
% 13.59/2.20  % E---3.1 exiting
% 13.59/2.20  % E exiting
%------------------------------------------------------------------------------