%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : BOO015-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:06:59 PM UTC 2026
% Result : Unsatisfiable 19.51s 8.28s
% Output : CNFRefutation 19.51s
% 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,
( ~ product(X3,X5,X7)
| ~ product(X1,X4,X6)
| ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| sum(X6,X2,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,
( ~ sum(X1,X2,X4)
| ~ sum(X1,X2,X3)
| X3 = X4 ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
cnf(commutativity_of_addition,axiom,
( ~ sum(X1,X2,X3)
| sum(X2,X1,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,
( ~ 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/BOO002-0.ax',distributivity1) ).
cnf(multiplication_is_well_defined,axiom,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplication_is_well_defined) ).
cnf(commutativity_of_multiplication,axiom,
( ~ product(X1,X2,X3)
| product(X2,X1,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,
( ~ sum(X6,X2,X7)
| ~ product(X1,X4,X6)
| ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| product(X3,X5,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,
( ~ 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/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,
( ~ product(X3,X5,X7)
| ~ product(X2,X4,X6)
| ~ sum(X1,X4,X5)
| ~ sum(X1,X2,X3)
| sum(X1,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
cnf(distributivity5,axiom,
( ~ sum(X1,X6,X7)
| ~ product(X2,X4,X6)
| ~ sum(X1,X4,X5)
| ~ sum(X1,X2,X3)
| product(X3,X5,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,
( ~ product(X3,X5,X7)
| ~ product(X1,X4,X6)
| ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| sum(X6,X2,X7) ),
inference(fof_simplification,[status(thm)],[distributivity8]) ).
cnf(c_0_24,plain,
( ~ product(X3,X5,X7)
| ~ product(X1,X4,X6)
| ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| sum(X6,X2,X7) ),
c_0_23 ).
cnf(c_0_25,axiom,
product(multiplicative_identity,X1,X1),
multiplicative_identity1 ).
cnf(c_0_26,plain,
( ~ sum(X5,X2,X3)
| ~ sum(X4,X2,multiplicative_identity)
| ~ product(X4,X5,X1)
| sum(X1,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,
( ~ sum(X1,X2,X4)
| ~ sum(X1,X2,X3)
| X3 = X4 ),
inference(fof_simplification,[status(thm)],[addition_is_well_defined]) ).
cnf(c_0_29,plain,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_of_addition]) ).
cnf(c_0_30,plain,
( ~ sum(multiplicative_identity,X2,X3)
| ~ sum(X1,X2,multiplicative_identity)
| sum(X1,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,
( ~ sum(X1,X2,X4)
| ~ sum(X1,X2,X3)
| X3 = X4 ),
c_0_28 ).
cnf(c_0_33,axiom,
sum(X1,X2,add(X1,X2)),
closure_of_addition ).
cnf(c_0_34,plain,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
c_0_29 ).
cnf(c_0_35,plain,
( ~ sum(multiplicative_identity,X1,X2)
| sum(inverse(X1),X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( ~ sum(X2,X3,X1)
| X1 = add(X2,X3) ),
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,
( ~ sum(inverse(X2),X2,X1)
| X1 = multiplicative_identity ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_39,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_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,
( ~ product(X1,X6,X7)
| ~ sum(X2,X4,X6)
| ~ product(X1,X4,X5)
| ~ product(X1,X2,X3)
| sum(X3,X5,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,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
inference(fof_simplification,[status(thm)],[multiplication_is_well_defined]) ).
cnf(c_0_46,plain,
( ~ product(X1,X2,X3)
| product(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_of_multiplication]) ).
cnf(c_0_47,plain,
( ~ sum(X5,X4,multiplicative_identity)
| ~ product(X3,X5,X1)
| ~ product(X3,X4,X2)
| sum(X1,X2,X3) ),
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,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| X3 = X4 ),
c_0_45 ).
cnf(c_0_50,axiom,
product(X1,X2,multiply(X1,X2)),
closure_of_multiplication ).
cnf(c_0_51,plain,
( ~ product(X1,X2,X3)
| product(X2,X1,X3) ),
c_0_46 ).
cnf(c_0_52,axiom,
sum(X1,additive_identity,X1),
additive_identity2 ).
cnf(c_0_53,plain,
( ~ product(X2,X3,X1)
| sum(X1,X2,X2) ),
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,
( ~ sum(X6,X2,X7)
| ~ product(X1,X4,X6)
| ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| product(X3,X5,X7) ),
inference(fof_simplification,[status(thm)],[distributivity7]) ).
cnf(c_0_55,plain,
( ~ product(X2,X3,X1)
| X1 = multiply(X2,X3) ),
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,
( ~ sum(X2,additive_identity,X1)
| X1 = X2 ),
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,
( ~ sum(X6,X2,X7)
| ~ product(X1,X4,X6)
| ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| product(X3,X5,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,
( ~ sum(X4,X6,X1)
| ~ sum(X5,X6,X2)
| ~ sum(multiply(X4,X5),X6,X3)
| product(X1,X2,X3) ),
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,
( ~ sum(X4,X2,X1)
| ~ sum(additive_identity,X2,X3)
| product(X1,X2,X3) ),
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,
( ~ sum(additive_identity,X2,X1)
| X1 = X2 ),
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,
( ~ sum(additive_identity,x_times_y,X1)
| product(x,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,
( ~ sum(additive_identity,x_times_y,X1)
| product(y,x_times_y,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_72]) ).
cnf(c_0_76,plain,
( ~ sum(X6,X5,X4)
| ~ product(X3,X6,X1)
| ~ product(X3,X5,X2)
| sum(X1,X2,multiply(X3,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(X4,inverse(X2),X3)
| ~ product(X2,X4,X1)
| sum(X1,additive_identity,multiply(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,inverse(x_times_y),X1)
| sum(x_times_y,additive_identity,multiply(x_times_y,X1)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,negated_conjecture,
( ~ sum(y,inverse(x_times_y),X1)
| sum(x_times_y,additive_identity,multiply(x_times_y,X1)) ),
inference(spm,[status(thm)],[c_0_80,c_0_82]) ).
cnf(c_0_85,plain,
( ~ sum(X5,X2,X3)
| ~ sum(X6,X2,X4)
| ~ product(X5,X6,X1)
| sum(X1,X2,multiply(X3,X4)) ),
inference(spm,[status(thm)],[c_0_24,c_0_50]) ).
cnf(c_0_86,plain,
( ~ product(X2,multiplicative_identity,X1)
| X1 = X2 ),
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,
( ~ sum(additive_identity,X2,X3)
| product(add(X1,X2),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(y,X1,X2)
| ~ sum(x,X1,multiplicative_identity)
| sum(x_times_y,X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_59]) ).
cnf(c_0_93,plain,
( ~ sum(X2,X3,X4)
| ~ sum(X1,X3,X5)
| sum(multiply(X1,X2),X3,multiply(X4,X5)) ),
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,
( ~ 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_100,negated_conjecture,
sum(inverse(x),inverse(y),x_inverse_plus_y_inverse),
x_inverse_plus_y_inverse ).
cnf(c_0_101,plain,
( ~ sum(multiply(X2,X3),X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_32,c_0_58]) ).
cnf(c_0_102,plain,
( ~ sum(X3,X1,multiplicative_identity)
| ~ sum(inverse(X3),X1,X2)
| sum(additive_identity,X1,X2) ),
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,X1,multiplicative_identity)
| sum(x_times_y,X1,add(y,X1)) ),
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(X2,X1,X3)
| sum(multiply(inverse(X1),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,
( ~ sum(X3,X5,X7)
| ~ sum(X1,X4,X6)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| product(X6,X2,X7) ),
c_0_99 ).
cnf(c_0_111,negated_conjecture,
( ~ sum(additive_identity,inverse(y),X1)
| product(x_inverse_plus_y_inverse,inverse(y),X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_100]) ).
cnf(c_0_112,plain,
( ~ sum(multiply(X3,X2),X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_101,c_0_61]) ).
cnf(c_0_113,plain,
( ~ sum(inverse(inverse(X1)),X1,X2)
| sum(additive_identity,X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_31]) ).
cnf(c_0_114,plain,
( ~ sum(X4,X5,X2)
| ~ sum(additive_identity,X5,X3)
| ~ sum(inverse(X4),X5,X1)
| product(X1,X2,X3) ),
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,
( ~ sum(X3,X2,X1)
| X1 = add(X2,X3) ),
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,
( ~ sum(X5,additive_identity,X3)
| ~ sum(X4,inverse(X2),X1)
| ~ product(X4,X2,X5)
| product(X1,X2,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,
( ~ sum(X3,add(X2,X3),X1)
| X1 = add(X2,X3) ),
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,
( ~ sum(additive_identity,inverse(x),X2)
| ~ sum(inverse(x_times_y),inverse(x),X1)
| product(X1,add(y,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,
( ~ product(multiplicative_identity,X2,X1)
| X1 = X2 ),
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,
( ~ sum(inverse(y),additive_identity,X2)
| ~ sum(x_inverse_plus_y_inverse,inverse(inverse(y)),X1)
| product(X1,inverse(y),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,
( ~ sum(inverse(x_times_y),inverse(x),X1)
| product(X1,add(y,inverse(x)),inverse(x)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_33]),c_0_74]) ).
cnf(c_0_130,plain,
( ~ sum(X4,X1,X2)
| ~ sum(inverse(X4),X1,X3)
| sum(additive_identity,X1,multiply(X2,X3)) ),
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,
( ~ product(X3,X5,X7)
| ~ product(X2,X4,X6)
| ~ sum(X1,X4,X5)
| ~ sum(X1,X2,X3)
| sum(X1,X6,X7) ),
inference(fof_simplification,[status(thm)],[distributivity6]) ).
cnf(c_0_135,negated_conjecture,
( ~ sum(x_inverse_plus_y_inverse,inverse(inverse(y)),X1)
| product(X1,inverse(y),inverse(y)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_33]),c_0_89]) ).
cnf(c_0_136,plain,
( ~ sum(X3,X1,X2)
| ~ sum(inverse(X3),X1,multiplicative_identity)
| sum(additive_identity,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(inverse(x),inverse(x_times_y),X1)
| sum(additive_identity,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,
( ~ product(add(X3,X2),X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_49,c_0_97]) ).
cnf(c_0_142,negated_conjecture,
( ~ sum(inverse(y),inverse(x_times_y),X1)
| sum(additive_identity,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,
( ~ product(X3,X5,X7)
| ~ product(X2,X4,X6)
| ~ sum(X1,X4,X5)
| ~ sum(X1,X2,X3)
| sum(X1,X6,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,
( ~ sum(additive_identity,inverse(x),X1)
| product(x_inverse_plus_y_inverse,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,
( ~ product(add(X2,X3),X2,X1)
| X1 = X2 ),
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,X5,X3)
| ~ sum(X1,X6,X4)
| ~ product(X5,X6,X2)
| sum(X1,X2,multiply(X3,X4)) ),
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,
( ~ sum(X1,X6,X7)
| ~ product(X2,X4,X6)
| ~ sum(X1,X4,X5)
| ~ sum(X1,X2,X3)
| product(X3,X5,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,X3,X4)
| ~ sum(X1,X2,X5)
| sum(X1,multiply(X2,X3),multiply(X4,X5)) ),
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,
( ~ sum(inverse(x),additive_identity,X2)
| ~ sum(x_inverse_plus_y_inverse,inverse(inverse(x)),X1)
| product(X1,inverse(x),X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_154]) ).
cnf(c_0_163,plain,
( ~ sum(X1,X6,X7)
| ~ product(X2,X4,X6)
| ~ sum(X1,X4,X5)
| ~ sum(X1,X2,X3)
| product(X3,X5,X7) ),
c_0_155 ).
cnf(c_0_164,negated_conjecture,
( ~ sum(X3,inverse(x),X1)
| ~ sum(multiply(X3,inverse(y)),inverse(x),X2)
| product(X1,x_inverse_plus_y_inverse,X2) ),
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,
( ~ sum(inverse(x),inverse(y),X1)
| X1 = x_inverse_plus_y_inverse ),
inference(spm,[status(thm)],[c_0_32,c_0_100]) ).
cnf(c_0_168,plain,
( ~ sum(X1,X2,X3)
| sum(X1,multiply(inverse(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,
( ~ sum(x_inverse_plus_y_inverse,inverse(inverse(x)),X1)
| product(X1,inverse(x),inverse(x)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_33]),c_0_89]) ).
cnf(c_0_171,plain,
( ~ sum(X4,X5,X2)
| ~ sum(X4,additive_identity,X3)
| ~ sum(X4,inverse(X5),X1)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_163,c_0_103]) ).
cnf(c_0_172,negated_conjecture,
( ~ sum(inverse(y),inverse(x),X1)
| product(inverse(x_times_y),x_inverse_plus_y_inverse,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,
( ~ sum(X2,additive_identity,X4)
| ~ sum(X2,inverse(X3),X1)
| product(X1,add(X2,X3),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(y,X1,X2)
| ~ sum(x,X1,X3)
| sum(x_times_y,X1,multiply(X2,X3)) ),
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,
( ~ sum(X2,inverse(X3),X1)
| product(X1,add(X2,X3),X2) ),
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(y,X1,X2)
| sum(x_times_y,X1,multiply(X2,add(X1,x))) ),
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
% 0.00/0.03 % Problem : BOO015-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n001.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 13:53:51 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 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
% 19.51/8.28 % Version: 3.5.1
% 19.51/8.28 % Preprocessing class: FSMSSMSSSSSNFFN.
% 19.51/8.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.51/8.28 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.51/8.28 % Starting new_bool_3 with 300s (1) cores
% 19.51/8.28 % Starting new_bool_1 with 300s (1) cores
% 19.51/8.28 % Starting sh5l with 300s (1) cores
% 19.51/8.28 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3290010 completed with status 0
% 19.51/8.28 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 19.51/8.28 % Preprocessing class: FSMSSMSSSSSNFFN.
% 19.51/8.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.51/8.28 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.51/8.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.51/8.28 % No SInE strategy applied
% 19.51/8.28 % Search class: FHUSM-FFMF21-SFFFFFNN
% 19.51/8.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 19.51/8.28 % Starting SubtermCWHack with 136s (1) cores
% 19.51/8.28 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 19.51/8.28 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 19.51/8.28 % Starting new_bool_3 with 136s (1) cores
% 19.51/8.28 % Starting new_bool_1 with 136s (1) cores
% 19.51/8.28 % G-E--_208_C18_F1_SE_CS_SP_PS_S4d with pid 3290017 completed with status 0
% 19.51/8.28 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4d
% 19.51/8.28 % Preprocessing class: FSMSSMSSSSSNFFN.
% 19.51/8.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.51/8.28 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.51/8.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.51/8.28 % No SInE strategy applied
% 19.51/8.28 % Search class: FHUSM-FFMF21-SFFFFFNN
% 19.51/8.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 19.51/8.28 % Starting SubtermCWHack with 136s (1) cores
% 19.51/8.28 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 19.51/8.28 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 19.51/8.28 % Preprocessing time : 0.001 s
% 19.51/8.28 % Presaturation interreduction done
% 19.51/8.28
% 19.51/8.28 % Proof found!
% 19.51/8.28 % SZS status Unsatisfiable
% 19.51/8.28 % SZS output start CNFRefutation
% See solution above
% 19.51/8.28 % Parsed axioms : 25
% 19.51/8.28 % Removed by relevancy pruning/SinE : 0
% 19.51/8.28 % Initial clauses : 25
% 19.51/8.28 % Removed in clause preprocessing : 0
% 19.51/8.28 % Initial clauses in saturation : 25
% 19.51/8.28 % Processed clauses : 19154
% 19.51/8.28 % ...of these trivial : 885
% 19.51/8.28 % ...subsumed : 12740
% 19.51/8.28 % ...remaining for further processing : 5529
% 19.51/8.28 % Other redundant clauses eliminated : 0
% 19.51/8.28 % Clauses deleted for lack of memory : 0
% 19.51/8.28 % Backward-subsumed : 241
% 19.51/8.28 % Backward-rewritten : 676
% 19.51/8.28 % Generated clauses : 82309
% 19.51/8.28 % ...of the previous two non-redundant : 69257
% 19.51/8.28 % ...aggressively subsumed : 0
% 19.51/8.28 % Contextual simplify-reflections : 0
% 19.51/8.28 % Paramodulations : 82309
% 19.51/8.28 % Factorizations : 0
% 19.51/8.28 % NegExts : 0
% 19.51/8.28 % Equation resolutions : 0
% 19.51/8.28 % Disequality decompositions : 0
% 19.51/8.28 % Total rewrite steps : 38899
% 19.51/8.28 % ...of those cached : 37191
% 19.51/8.28 % Propositional unsat checks : 0
% 19.51/8.28 % Propositional check models : 0
% 19.51/8.28 % Propositional check unsatisfiable : 0
% 19.51/8.28 % Propositional clauses : 0
% 19.51/8.28 % Propositional clauses after purity: 0
% 19.51/8.28 % Propositional unsat core size : 0
% 19.51/8.28 % Propositional preprocessing time : 0.000
% 19.51/8.28 % Propositional encoding time : 0.000
% 19.51/8.28 % Propositional solver time : 0.000
% 19.51/8.28 % Success case prop preproc time : 0.000
% 19.51/8.28 % Success case prop encoding time : 0.000
% 19.51/8.28 % Success case prop solver time : 0.000
% 19.51/8.28 % Current number of processed clauses : 4587
% 19.51/8.28 % Positive orientable unit clauses : 354
% 19.51/8.28 % Positive unorientable unit clauses: 2
% 19.51/8.28 % Negative unit clauses : 1
% 19.51/8.28 % Non-unit-clauses : 4230
% 19.51/8.28 % Current number of unprocessed clauses: 48389
% 19.51/8.28 % ...number of literals in the above : 107904
% 19.51/8.28 % Current number of archived formulas : 0
% 19.51/8.28 % Current number of archived clauses : 942
% 19.51/8.28 % Clause-clause subsumption calls (NU) : 1975578
% 19.51/8.28 % Rec. Clause-clause subsumption calls : 1711757
% 19.51/8.28 % Non-unit clause-clause subsumptions : 12979
% 19.51/8.28 % Unit Clause-clause subsumption calls : 1134
% 19.51/8.28 % Rewrite failures with RHS unbound : 0
% 19.51/8.28 % BW rewrite match attempts : 1350
% 19.51/8.28 % BW rewrite match successes : 94
% 19.51/8.28 % Condensation attempts : 0
% 19.51/8.28 % Condensation successes : 0
% 19.51/8.28 % Termbank termtop insertions : 1285697
% 19.51/8.28 % Search garbage collected termcells : 68
% 19.51/8.28
% 19.51/8.28 % -------------------------------------------------
% 19.51/8.28 % User time : 2.724 s
% 19.51/8.28 % System time : 0.067 s
% 19.51/8.28 % Total time : 2.791 s
% 19.51/8.28 % Maximum resident set size: 3652 pages
% 19.51/8.28
% 19.51/8.28 % -------------------------------------------------
% 19.51/8.28 % User time : 13.457 s
% 19.51/8.28 % System time : 0.356 s
% 19.51/8.28 % Total time : 13.813 s
% 19.51/8.28 % Maximum resident set size: 4864 pages
% 19.51/8.28 % E exiting
%------------------------------------------------------------------------------