%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : RNG008-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:06:01 PM UTC 2026
% Result : Unsatisfiable 5.73s 1.32s
% Output : CNFRefutation 5.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of clauses : 186 ( 84 unt; 0 nHn; 131 RR)
% Number of literals : 391 ( 70 equ; 208 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 471 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(addition_is_well_defined,axiom,
( ~ sum(X1,X2,X4)
| ~ sum(X1,X2,X3)
| X3 = X4 ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
cnf(associativity_of_addition2,axiom,
( ~ sum(X1,X5,X6)
| ~ sum(X2,X4,X5)
| ~ sum(X1,X2,X3)
| sum(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
cnf(additive_identity2,axiom,
sum(X1,additive_identity,X1),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
cnf(left_inverse,axiom,
sum(additive_inverse(X1),X1,additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',left_inverse) ).
cnf(closure_of_addition,axiom,
sum(X1,X2,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
cnf(commutativity_of_addition,axiom,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
cnf(associativity_of_multiplication2,axiom,
( ~ product(X1,X5,X6)
| ~ product(X2,X4,X5)
| ~ product(X1,X2,X3)
| product(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication2) ).
cnf(multiplication_is_well_defined,axiom,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',multiplication_is_well_defined) ).
cnf(x_squared_is_x,hypothesis,
product(X1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x) ).
cnf(a_times_b_is_c,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(cancellation2,axiom,
( ~ sum(X4,X2,X3)
| ~ sum(X1,X2,X3)
| X1 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation2) ).
cnf(cancellation1,axiom,
( ~ sum(X1,X4,X3)
| ~ sum(X1,X2,X3)
| X2 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation1) ).
cnf(distributivity3,axiom,
( ~ product(X6,X2,X7)
| ~ sum(X1,X4,X6)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity3) ).
cnf(closure_of_multiplication,axiom,
product(X1,X2,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_multiplication) ).
cnf(distributivity1,axiom,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity1) ).
cnf(right_inverse,axiom,
sum(X1,additive_inverse(X1),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
cnf(associativity_of_multiplication1,axiom,
( ~ product(X3,X4,X6)
| ~ product(X2,X4,X5)
| ~ product(X1,X2,X3)
| product(X1,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication1) ).
cnf(associativity_of_addition1,axiom,
( ~ sum(X3,X4,X6)
| ~ sum(X2,X4,X5)
| ~ sum(X1,X2,X3)
| sum(X1,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).
cnf(distributivity2,axiom,
( ~ sum(X3,X5,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| product(X1,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity2) ).
cnf(distributivity4,axiom,
( ~ sum(X3,X5,X7)
| ~ sum(X1,X4,X6)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| product(X6,X2,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity4) ).
cnf(prove_b_times_a_is_c,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
cnf(c_0_22,plain,
( ~ sum(X1,X2,X4)
| ~ sum(X1,X2,X3)
| X3 = X4 ),
inference(fof_simplification,[status(thm)],[addition_is_well_defined]) ).
cnf(c_0_23,plain,
( ~ sum(X1,X5,X6)
| ~ sum(X2,X4,X5)
| ~ sum(X1,X2,X3)
| sum(X3,X4,X6) ),
inference(fof_simplification,[status(thm)],[associativity_of_addition2]) ).
cnf(c_0_24,plain,
( ~ sum(X1,X2,X4)
| ~ sum(X1,X2,X3)
| X3 = X4 ),
c_0_22 ).
cnf(c_0_25,axiom,
sum(X1,additive_identity,X1),
additive_identity2 ).
cnf(c_0_26,plain,
( ~ sum(X1,X5,X6)
| ~ sum(X2,X4,X5)
| ~ sum(X1,X2,X3)
| sum(X3,X4,X6) ),
c_0_23 ).
cnf(c_0_27,axiom,
sum(additive_inverse(X1),X1,additive_identity),
left_inverse ).
cnf(c_0_28,plain,
( ~ sum(X2,additive_identity,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,axiom,
sum(X1,X2,add(X1,X2)),
closure_of_addition ).
cnf(c_0_30,plain,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_of_addition]) ).
cnf(c_0_31,plain,
( ~ product(X1,X5,X6)
| ~ product(X2,X4,X5)
| ~ product(X1,X2,X3)
| product(X3,X4,X6) ),
inference(fof_simplification,[status(thm)],[associativity_of_multiplication2]) ).
cnf(c_0_32,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
inference(fof_simplification,[status(thm)],[multiplication_is_well_defined]) ).
cnf(c_0_33,plain,
( ~ sum(X4,additive_identity,X3)
| ~ sum(X4,additive_inverse(X2),X1)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
add(X1,additive_identity) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
c_0_30 ).
cnf(c_0_36,plain,
( ~ product(X1,X5,X6)
| ~ product(X2,X4,X5)
| ~ product(X1,X2,X3)
| product(X3,X4,X6) ),
c_0_31 ).
cnf(c_0_37,hypothesis,
product(X1,X1,X1),
x_squared_is_x ).
cnf(c_0_38,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
c_0_32 ).
cnf(c_0_39,hypothesis,
product(a,b,c),
a_times_b_is_c ).
cnf(c_0_40,plain,
( ~ sum(X4,X2,X3)
| ~ sum(X1,X2,X3)
| X1 = X4 ),
inference(fof_simplification,[status(thm)],[cancellation2]) ).
cnf(c_0_41,plain,
( ~ sum(X3,additive_inverse(X2),X1)
| sum(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_34]) ).
cnf(c_0_42,plain,
( ~ sum(X2,X3,X1)
| X1 = add(X2,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_43,plain,
sum(X1,X2,add(X2,X1)),
inference(spm,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_44,plain,
( ~ sum(X1,X4,X3)
| ~ sum(X1,X2,X3)
| X2 = X4 ),
inference(fof_simplification,[status(thm)],[cancellation1]) ).
cnf(c_0_45,plain,
( ~ product(X6,X2,X7)
| ~ sum(X1,X4,X6)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
inference(fof_simplification,[status(thm)],[distributivity3]) ).
cnf(c_0_46,hypothesis,
( ~ product(X4,X2,X1)
| ~ product(X4,X2,X3)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_47,hypothesis,
( ~ product(a,b,X1)
| X1 = c ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,axiom,
product(X1,X2,multiply(X1,X2)),
closure_of_multiplication ).
cnf(c_0_49,plain,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
inference(fof_simplification,[status(thm)],[distributivity1]) ).
cnf(c_0_50,plain,
( ~ sum(X4,X2,X3)
| ~ sum(X1,X2,X3)
| X1 = X4 ),
c_0_40 ).
cnf(c_0_51,plain,
sum(add(X1,additive_inverse(X2)),X2,X1),
inference(spm,[status(thm)],[c_0_41,c_0_29]) ).
cnf(c_0_52,plain,
add(X1,X2) = add(X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_53,plain,
( ~ sum(X1,X4,X3)
| ~ sum(X1,X2,X3)
| X2 = X4 ),
c_0_44 ).
cnf(c_0_54,plain,
( ~ product(X6,X2,X7)
| ~ sum(X1,X4,X6)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
c_0_45 ).
cnf(c_0_55,hypothesis,
( ~ product(a,b,X1)
| product(X1,b,c) ),
inference(spm,[status(thm)],[c_0_46,c_0_39]) ).
cnf(c_0_56,hypothesis,
multiply(a,b) = c,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,X7) ),
c_0_49 ).
cnf(c_0_58,plain,
( ~ sum(X1,X3,add(X2,X3))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_50,c_0_29]) ).
cnf(c_0_59,plain,
add(X1,add(X2,additive_inverse(X1))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_51]),c_0_52]) ).
cnf(c_0_60,plain,
( ~ sum(additive_inverse(X2),X1,additive_identity)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_53,c_0_27]) ).
cnf(c_0_61,axiom,
sum(X1,additive_inverse(X1),additive_identity),
right_inverse ).
cnf(c_0_62,hypothesis,
( ~ sum(X4,X3,a)
| ~ product(X4,b,X1)
| ~ product(X3,b,X2)
| sum(X1,X2,c) ),
inference(spm,[status(thm)],[c_0_54,c_0_39]) ).
cnf(c_0_63,hypothesis,
product(c,b,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_48]),c_0_56]) ).
cnf(c_0_64,hypothesis,
( ~ sum(X5,X4,X3)
| ~ product(X3,X5,X1)
| ~ product(X3,X4,X2)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_37]) ).
cnf(c_0_65,plain,
( ~ sum(X1,add(X3,additive_inverse(X2)),X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,plain,
additive_inverse(additive_inverse(X1)) = X1,
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,hypothesis,
( ~ sum(X2,c,a)
| ~ product(X2,b,X1)
| sum(X1,c,c) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,axiom,
sum(additive_identity,X1,X1),
additive_identity1 ).
cnf(c_0_69,hypothesis,
( ~ sum(X5,X4,X3)
| ~ product(X5,X3,X1)
| ~ product(X4,X3,X2)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_37]) ).
cnf(c_0_70,hypothesis,
( ~ sum(X3,X2,X2)
| ~ product(X2,X3,X1)
| sum(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_37]) ).
cnf(c_0_71,plain,
( ~ product(X3,X4,X6)
| ~ product(X2,X4,X5)
| ~ product(X1,X2,X3)
| product(X1,X5,X6) ),
inference(fof_simplification,[status(thm)],[associativity_of_multiplication1]) ).
cnf(c_0_72,plain,
( ~ sum(X1,add(X3,X2),X3)
| X1 = additive_inverse(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,hypothesis,
( ~ sum(X1,c,a)
| sum(multiply(X1,b),c,c) ),
inference(spm,[status(thm)],[c_0_67,c_0_48]) ).
cnf(c_0_74,plain,
sum(add(additive_inverse(X1),X2),X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
cnf(c_0_75,plain,
( ~ sum(additive_inverse(X2),X2,X1)
| X1 = additive_identity ),
inference(spm,[status(thm)],[c_0_24,c_0_27]) ).
cnf(c_0_76,plain,
( ~ sum(additive_identity,X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_24,c_0_68]) ).
cnf(c_0_77,hypothesis,
( ~ sum(X3,X2,X2)
| ~ product(X3,X2,X1)
| sum(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_37]) ).
cnf(c_0_78,hypothesis,
( ~ sum(X2,X1,X1)
| sum(multiply(X1,X2),X1,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_48]) ).
cnf(c_0_79,plain,
( ~ product(X3,X4,X6)
| ~ product(X2,X4,X5)
| ~ product(X1,X2,X3)
| product(X1,X5,X6) ),
c_0_71 ).
cnf(c_0_80,plain,
( ~ sum(X1,X2,X3)
| X1 = additive_inverse(add(X2,additive_inverse(X3))) ),
inference(spm,[status(thm)],[c_0_72,c_0_59]) ).
cnf(c_0_81,hypothesis,
sum(multiply(add(a,additive_inverse(c)),b),c,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_52]) ).
cnf(c_0_82,plain,
add(X1,additive_inverse(X1)) = additive_identity,
inference(spm,[status(thm)],[c_0_75,c_0_43]) ).
cnf(c_0_83,plain,
additive_inverse(additive_identity) = additive_identity,
inference(spm,[status(thm)],[c_0_76,c_0_61]) ).
cnf(c_0_84,hypothesis,
( ~ sum(X1,X2,X2)
| sum(multiply(X1,X2),X2,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_48]) ).
cnf(c_0_85,hypothesis,
( ~ product(X3,a,X1)
| ~ product(X3,c,X2)
| product(X1,b,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_39]) ).
cnf(c_0_86,plain,
( ~ sum(X1,X2,X2)
| X1 = additive_identity ),
inference(spm,[status(thm)],[c_0_50,c_0_68]) ).
cnf(c_0_87,hypothesis,
sum(multiply(X1,additive_identity),X1,X1),
inference(spm,[status(thm)],[c_0_78,c_0_68]) ).
cnf(c_0_88,plain,
( ~ product(X1,X5,X3)
| ~ product(X5,X4,X2)
| product(X1,X2,multiply(X3,X4)) ),
inference(spm,[status(thm)],[c_0_79,c_0_48]) ).
cnf(c_0_89,hypothesis,
multiply(add(a,additive_inverse(c)),b) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_90,hypothesis,
sum(multiply(additive_identity,X1),X1,X1),
inference(spm,[status(thm)],[c_0_84,c_0_68]) ).
cnf(c_0_91,hypothesis,
( ~ product(X2,a,X1)
| product(X1,b,multiply(X2,c)) ),
inference(spm,[status(thm)],[c_0_85,c_0_48]) ).
cnf(c_0_92,plain,
( ~ sum(X3,X4,X6)
| ~ sum(X2,X4,X5)
| ~ sum(X1,X2,X3)
| sum(X1,X5,X6) ),
inference(fof_simplification,[status(thm)],[associativity_of_addition1]) ).
cnf(c_0_93,hypothesis,
multiply(X1,additive_identity) = additive_identity,
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_94,hypothesis,
( ~ product(X1,X4,X3)
| ~ product(X4,X3,X2)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_79,c_0_37]) ).
cnf(c_0_95,plain,
( ~ product(X1,X2,X4)
| product(X1,multiply(X2,X3),multiply(X4,X3)) ),
inference(spm,[status(thm)],[c_0_88,c_0_48]) ).
cnf(c_0_96,hypothesis,
product(add(a,additive_inverse(c)),b,additive_identity),
inference(spm,[status(thm)],[c_0_48,c_0_89]) ).
cnf(c_0_97,hypothesis,
multiply(additive_identity,X1) = additive_identity,
inference(spm,[status(thm)],[c_0_86,c_0_90]) ).
cnf(c_0_98,hypothesis,
product(a,b,multiply(a,c)),
inference(spm,[status(thm)],[c_0_91,c_0_37]) ).
cnf(c_0_99,plain,
( ~ sum(X3,X4,X6)
| ~ sum(X2,X4,X5)
| ~ sum(X1,X2,X3)
| sum(X1,X5,X6) ),
c_0_92 ).
cnf(c_0_100,hypothesis,
product(X1,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_48,c_0_93]) ).
cnf(c_0_101,plain,
( ~ sum(X3,X5,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| product(X1,X6,X7) ),
inference(fof_simplification,[status(thm)],[distributivity2]) ).
cnf(c_0_102,plain,
( ~ product(X4,X5,X1)
| ~ product(X4,multiply(X5,X2),X3)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_48]) ).
cnf(c_0_103,hypothesis,
( ~ product(X1,X2,X3)
| product(X1,multiply(X2,X3),X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_48]) ).
cnf(c_0_104,plain,
( ~ product(X2,X3,X1)
| X1 = multiply(X2,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_48]) ).
cnf(c_0_105,hypothesis,
product(add(a,additive_inverse(c)),multiply(b,X1),additive_identity),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_106,hypothesis,
( ~ sum(X4,X3,b)
| ~ product(a,X4,X1)
| ~ product(a,X3,X2)
| sum(X1,X2,c) ),
inference(spm,[status(thm)],[c_0_57,c_0_39]) ).
cnf(c_0_107,hypothesis,
multiply(a,c) = c,
inference(spm,[status(thm)],[c_0_47,c_0_98]) ).
cnf(c_0_108,plain,
( ~ sum(X4,X3,X2)
| ~ sum(X1,X4,additive_identity)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_99,c_0_68]) ).
cnf(c_0_109,plain,
add(additive_inverse(X1),add(X2,X1)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_52]) ).
cnf(c_0_110,hypothesis,
( ~ sum(X5,X4,additive_identity)
| ~ product(X3,X5,X1)
| ~ product(X3,X4,X2)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_57,c_0_100]) ).
cnf(c_0_111,plain,
( ~ sum(X3,X5,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| product(X1,X6,X7) ),
c_0_101 ).
cnf(c_0_112,hypothesis,
( ~ product(c,multiply(b,X1),X2)
| product(c,X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_63]) ).
cnf(c_0_113,hypothesis,
product(X1,multiply(X2,multiply(X1,X2)),multiply(X1,X2)),
inference(spm,[status(thm)],[c_0_103,c_0_48]) ).
cnf(c_0_114,hypothesis,
multiply(add(a,additive_inverse(c)),multiply(b,X1)) = additive_identity,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_115,plain,
( ~ sum(add(X3,additive_inverse(X2)),X1,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_53,c_0_51]) ).
cnf(c_0_116,hypothesis,
( ~ sum(X3,X2,b)
| ~ product(a,X3,X1)
| sum(X1,multiply(a,X2),c) ),
inference(spm,[status(thm)],[c_0_106,c_0_48]) ).
cnf(c_0_117,hypothesis,
product(a,c,c),
inference(spm,[status(thm)],[c_0_48,c_0_107]) ).
cnf(c_0_118,plain,
( ~ sum(X1,X2,additive_identity)
| sum(X1,add(X2,X3),X3) ),
inference(spm,[status(thm)],[c_0_108,c_0_29]) ).
cnf(c_0_119,plain,
add(X1,additive_inverse(add(X1,X2))) = additive_inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_109]),c_0_52]) ).
cnf(c_0_120,hypothesis,
( ~ sum(X3,X2,additive_identity)
| ~ product(X2,X3,X1)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_110,c_0_37]) ).
cnf(c_0_121,hypothesis,
( ~ sum(X4,X1,X2)
| ~ sum(X5,X1,X3)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_111,c_0_37]) ).
cnf(c_0_122,hypothesis,
product(c,X1,multiply(c,multiply(b,X1))),
inference(spm,[status(thm)],[c_0_112,c_0_48]) ).
cnf(c_0_123,hypothesis,
product(b,additive_identity,multiply(b,add(a,additive_inverse(c)))),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_124,plain,
( ~ sum(add(X3,X2),X1,X3)
| X1 = additive_inverse(X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_66]) ).
cnf(c_0_125,hypothesis,
( ~ sum(c,X1,b)
| sum(c,multiply(a,X1),c) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_126,plain,
sum(X1,add(additive_inverse(X1),X2),X2),
inference(spm,[status(thm)],[c_0_118,c_0_61]) ).
cnf(c_0_127,plain,
( ~ sum(X1,X3,add(X3,X2))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_50,c_0_43]) ).
cnf(c_0_128,plain,
( ~ sum(X1,additive_inverse(add(X2,X3)),additive_inverse(X3))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_58,c_0_119]) ).
cnf(c_0_129,hypothesis,
( ~ sum(X2,X1,additive_identity)
| sum(multiply(X1,X2),X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_120,c_0_48]) ).
cnf(c_0_130,plain,
sum(additive_inverse(X1),add(X1,X2),X2),
inference(spm,[status(thm)],[c_0_118,c_0_27]) ).
cnf(c_0_131,hypothesis,
( ~ product(a,multiply(b,X1),X2)
| product(c,X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_39]) ).
cnf(c_0_132,hypothesis,
( ~ sum(X4,X1,X2)
| ~ sum(multiply(X1,X4),X1,X3)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_48]) ).
cnf(c_0_133,hypothesis,
multiply(c,multiply(b,X1)) = multiply(c,X1),
inference(spm,[status(thm)],[c_0_104,c_0_122]) ).
cnf(c_0_134,hypothesis,
multiply(b,add(a,additive_inverse(c))) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_123]),c_0_93]) ).
cnf(c_0_135,plain,
( ~ sum(X2,X1,X3)
| X1 = additive_inverse(add(X2,additive_inverse(X3))) ),
inference(spm,[status(thm)],[c_0_124,c_0_59]) ).
cnf(c_0_136,hypothesis,
sum(c,multiply(a,add(b,additive_inverse(c))),c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_52]) ).
cnf(c_0_137,plain,
add(additive_inverse(X1),add(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_51]),c_0_52]) ).
cnf(c_0_138,hypothesis,
product(additive_identity,X1,additive_identity),
inference(spm,[status(thm)],[c_0_48,c_0_97]) ).
cnf(c_0_139,plain,
( ~ sum(X1,additive_inverse(add(X2,additive_inverse(X3))),X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_128,c_0_66]) ).
cnf(c_0_140,hypothesis,
sum(multiply(X1,additive_inverse(X1)),X1,additive_identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_34]),c_0_34]) ).
cnf(c_0_141,plain,
( ~ sum(X3,X5,X7)
| ~ sum(X1,X4,X6)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| product(X6,X2,X7) ),
inference(fof_simplification,[status(thm)],[distributivity4]) ).
cnf(c_0_142,hypothesis,
product(c,X1,multiply(a,multiply(b,X1))),
inference(spm,[status(thm)],[c_0_131,c_0_48]) ).
cnf(c_0_143,hypothesis,
( ~ sum(multiply(X1,X2),X1,X3)
| product(X1,add(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_132,c_0_29]) ).
cnf(c_0_144,hypothesis,
multiply(c,add(a,additive_inverse(c))) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_93]) ).
cnf(c_0_145,hypothesis,
multiply(a,add(b,additive_inverse(c))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_82]),c_0_83]) ).
cnf(c_0_146,plain,
( ~ sum(X3,X1,add(X2,X3))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_53,c_0_43]) ).
cnf(c_0_147,plain,
add(X1,additive_inverse(add(X2,X1))) = additive_inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_137]),c_0_52]) ).
cnf(c_0_148,hypothesis,
( ~ sum(X5,X3,additive_identity)
| ~ product(X5,X4,X1)
| ~ product(X3,X4,X2)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_54,c_0_138]) ).
cnf(c_0_149,hypothesis,
multiply(additive_inverse(X1),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_83]),c_0_34]),c_0_83]),c_0_34]),c_0_66]) ).
cnf(c_0_150,plain,
( ~ sum(X3,X5,X7)
| ~ sum(X1,X4,X6)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| product(X6,X2,X7) ),
c_0_141 ).
cnf(c_0_151,hypothesis,
multiply(a,multiply(b,X1)) = multiply(c,X1),
inference(spm,[status(thm)],[c_0_104,c_0_142]) ).
cnf(c_0_152,hypothesis,
( ~ sum(additive_identity,c,X1)
| product(c,a,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_52]),c_0_59]) ).
cnf(c_0_153,plain,
add(additive_identity,X1) = X1,
inference(spm,[status(thm)],[c_0_76,c_0_29]) ).
cnf(c_0_154,hypothesis,
product(a,add(b,additive_inverse(c)),additive_identity),
inference(spm,[status(thm)],[c_0_48,c_0_145]) ).
cnf(c_0_155,plain,
( ~ sum(additive_inverse(add(X3,X2)),X1,additive_inverse(X3))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_156,hypothesis,
( ~ sum(X3,X2,additive_identity)
| ~ product(X3,X2,X1)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_148,c_0_37]) ).
cnf(c_0_157,hypothesis,
product(additive_inverse(X1),X1,X1),
inference(spm,[status(thm)],[c_0_48,c_0_149]) ).
cnf(c_0_158,hypothesis,
( ~ sum(X4,X2,X1)
| ~ sum(X5,X2,X3)
| ~ product(X4,X2,X5)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_150,c_0_37]) ).
cnf(c_0_159,hypothesis,
product(b,multiply(c,a),multiply(b,a)),
inference(spm,[status(thm)],[c_0_113,c_0_151]) ).
cnf(c_0_160,hypothesis,
product(c,a,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_29]),c_0_153]) ).
cnf(c_0_161,hypothesis,
product(a,multiply(add(b,additive_inverse(c)),X1),additive_identity),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_154]),c_0_97]) ).
cnf(c_0_162,plain,
( ~ sum(additive_inverse(add(additive_inverse(X3),X2)),X1,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_155,c_0_66]) ).
cnf(c_0_163,hypothesis,
sum(X1,X1,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_27])]) ).
cnf(c_0_164,hypothesis,
( ~ sum(X4,X2,X1)
| ~ sum(multiply(X4,X2),X2,X3)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_158,c_0_48]) ).
cnf(c_0_165,hypothesis,
multiply(b,multiply(c,a)) = multiply(b,a),
inference(spm,[status(thm)],[c_0_104,c_0_159]) ).
cnf(c_0_166,hypothesis,
multiply(c,a) = c,
inference(spm,[status(thm)],[c_0_104,c_0_160]) ).
cnf(c_0_167,hypothesis,
multiply(a,multiply(add(b,additive_inverse(c)),X1)) = additive_identity,
inference(spm,[status(thm)],[c_0_104,c_0_161]) ).
cnf(c_0_168,hypothesis,
additive_inverse(X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_83]),c_0_153]) ).
cnf(c_0_169,hypothesis,
( ~ sum(multiply(X1,X2),X2,X3)
| product(add(X1,X2),X2,X3) ),
inference(spm,[status(thm)],[c_0_164,c_0_29]) ).
cnf(c_0_170,hypothesis,
multiply(b,c) = multiply(b,a),
inference(rw,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,hypothesis,
( ~ product(X2,multiply(X3,multiply(X2,X3)),X1)
| X1 = multiply(X2,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_113]) ).
cnf(c_0_172,hypothesis,
multiply(a,multiply(add(b,c),X1)) = additive_identity,
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_173,hypothesis,
( ~ sum(multiply(b,a),c,X1)
| product(add(b,c),c,X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_174,hypothesis,
product(multiply(X1,a),b,multiply(X1,c)),
inference(spm,[status(thm)],[c_0_91,c_0_48]) ).
cnf(c_0_175,hypothesis,
( ~ product(add(b,c),additive_identity,X1)
| X1 = multiply(add(b,c),a) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_176,hypothesis,
product(add(b,c),c,add(c,multiply(b,a))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_29]),c_0_52]) ).
cnf(c_0_177,hypothesis,
multiply(multiply(X1,a),b) = multiply(X1,c),
inference(spm,[status(thm)],[c_0_104,c_0_174]) ).
cnf(c_0_178,hypothesis,
multiply(add(b,c),a) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_48]),c_0_93]) ).
cnf(c_0_179,hypothesis,
multiply(add(b,c),c) = add(c,multiply(b,a)),
inference(spm,[status(thm)],[c_0_104,c_0_176]) ).
cnf(c_0_180,plain,
add(X1,add(X1,X2)) = X2,
inference(rw,[status(thm)],[c_0_137,c_0_168]) ).
cnf(c_0_181,hypothesis,
add(c,multiply(b,a)) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_97]),c_0_179]) ).
cnf(c_0_182,negated_conjecture,
~ product(b,a,c),
inference(fof_simplification,[status(thm)],[prove_b_times_a_is_c]) ).
cnf(c_0_183,hypothesis,
multiply(b,a) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_34]) ).
cnf(c_0_184,negated_conjecture,
~ product(b,a,c),
c_0_182 ).
cnf(c_0_185,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_183]),c_0_184]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:10:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 5.73/1.32 % Version: 3.5.1
% 5.73/1.32 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.73/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.73/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.73/1.32 % Starting new_bool_3 with 300s (1) cores
% 5.73/1.32 % Starting new_bool_1 with 300s (1) cores
% 5.73/1.32 % Starting sh5l with 300s (1) cores
% 5.73/1.32 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3104078 completed with status 0
% 5.73/1.32 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 5.73/1.32 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.73/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.73/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.73/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.73/1.32 % No SInE strategy applied
% 5.73/1.32 % Search class: FHUSM-FFMF21-SFFFFFNN
% 5.73/1.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.73/1.32 % Starting SubtermCWHack with 136s (1) cores
% 5.73/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.73/1.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 5.73/1.32 % Starting new_bool_3 with 136s (1) cores
% 5.73/1.32 % Starting new_bool_1 with 136s (1) cores
% 5.73/1.32 % G-E--_208_C18_F1_SE_CS_SP_PS_S4d with pid 3104084 completed with status 0
% 5.73/1.32 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4d
% 5.73/1.32 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.73/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.73/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.73/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.73/1.32 % No SInE strategy applied
% 5.73/1.32 % Search class: FHUSM-FFMF21-SFFFFFNN
% 5.73/1.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.73/1.32 % Starting SubtermCWHack with 136s (1) cores
% 5.73/1.32 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.73/1.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 5.73/1.32 % Preprocessing time : 0.001 s
% 5.73/1.32 % Presaturation interreduction done
% 5.73/1.32
% 5.73/1.32 % Proof found!
% 5.73/1.32 % SZS status Unsatisfiable
% 5.73/1.32 % SZS output start CNFRefutation
% See solution above
% 5.73/1.33 % Parsed axioms : 22
% 5.73/1.33 % Removed by relevancy pruning/SinE : 0
% 5.73/1.33 % Initial clauses : 22
% 5.73/1.33 % Removed in clause preprocessing : 0
% 5.73/1.33 % Initial clauses in saturation : 22
% 5.73/1.33 % Processed clauses : 8812
% 5.73/1.33 % ...of these trivial : 737
% 5.73/1.33 % ...subsumed : 5145
% 5.73/1.33 % ...remaining for further processing : 2930
% 5.73/1.33 % Other redundant clauses eliminated : 0
% 5.73/1.33 % Clauses deleted for lack of memory : 0
% 5.73/1.33 % Backward-subsumed : 31
% 5.73/1.33 % Backward-rewritten : 1411
% 5.73/1.33 % Generated clauses : 41937
% 5.73/1.33 % ...of the previous two non-redundant : 31570
% 5.73/1.33 % ...aggressively subsumed : 0
% 5.73/1.33 % Contextual simplify-reflections : 0
% 5.73/1.33 % Paramodulations : 41937
% 5.73/1.33 % Factorizations : 0
% 5.73/1.33 % NegExts : 0
% 5.73/1.33 % Equation resolutions : 0
% 5.73/1.33 % Disequality decompositions : 0
% 5.73/1.33 % Total rewrite steps : 29905
% 5.73/1.33 % ...of those cached : 28635
% 5.73/1.33 % Propositional unsat checks : 0
% 5.73/1.33 % Propositional check models : 0
% 5.73/1.33 % Propositional check unsatisfiable : 0
% 5.73/1.33 % Propositional clauses : 0
% 5.73/1.33 % Propositional clauses after purity: 0
% 5.73/1.33 % Propositional unsat core size : 0
% 5.73/1.33 % Propositional preprocessing time : 0.000
% 5.73/1.33 % Propositional encoding time : 0.000
% 5.73/1.33 % Propositional solver time : 0.000
% 5.73/1.33 % Success case prop preproc time : 0.000
% 5.73/1.33 % Success case prop encoding time : 0.000
% 5.73/1.33 % Success case prop solver time : 0.000
% 5.73/1.33 % Current number of processed clauses : 1466
% 5.73/1.33 % Positive orientable unit clauses : 229
% 5.73/1.33 % Positive unorientable unit clauses: 1
% 5.73/1.33 % Negative unit clauses : 1
% 5.73/1.33 % Non-unit-clauses : 1235
% 5.73/1.33 % Current number of unprocessed clauses: 20802
% 5.73/1.33 % ...number of literals in the above : 46412
% 5.73/1.33 % Current number of archived formulas : 0
% 5.73/1.33 % Current number of archived clauses : 1464
% 5.73/1.33 % Clause-clause subsumption calls (NU) : 473598
% 5.73/1.33 % Rec. Clause-clause subsumption calls : 417340
% 5.73/1.33 % Non-unit clause-clause subsumptions : 5131
% 5.73/1.33 % Unit Clause-clause subsumption calls : 868
% 5.73/1.33 % Rewrite failures with RHS unbound : 0
% 5.73/1.33 % BW rewrite match attempts : 3233
% 5.73/1.33 % BW rewrite match successes : 148
% 5.73/1.33 % Condensation attempts : 0
% 5.73/1.33 % Condensation successes : 0
% 5.73/1.33 % Termbank termtop insertions : 603188
% 5.73/1.33 % Search garbage collected termcells : 69
% 5.73/1.33
% 5.73/1.33 % -------------------------------------------------
% 5.73/1.33 % User time : 0.805 s
% 5.73/1.33 % System time : 0.028 s
% 5.73/1.33 % Total time : 0.834 s
% 5.73/1.33 % Maximum resident set size: 3648 pages
% 5.73/1.33
% 5.73/1.33 % -------------------------------------------------
% 5.73/1.33 % User time : 3.831 s
% 5.73/1.33 % System time : 0.138 s
% 5.73/1.33 % Total time : 3.970 s
% 5.73/1.33 % Maximum resident set size: 4864 pages
% 5.73/1.33 % E exiting
%------------------------------------------------------------------------------