%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW228+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : 600s
% DateTime : Thu Jul 21 01:24:44 EDT 2022
% Result : Theorem 75.03s 75.26s
% Output : Refutation 75.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of clauses : 46 ( 38 unt; 1 nHn; 30 RR)
% Number of literals : 57 ( 19 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 11 con; 0-3 aty)
% Number of variables : 43 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__0961_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096) ).
cnf(13,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096abs_A_Icmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_N_A_N_As_J_A_060_A1_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096) ).
cnf(40,axiom,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).
cnf(54,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X,Y),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__not__less__zero) ).
cnf(100,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_RealVector_Onorm__class_Onorm(X,c_Groups_Ouminus__class_Ouminus(X,Y)) = c_RealVector_Onorm__class_Onorm(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__minus__cancel) ).
cnf(236,axiom,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,Y)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X),c_RealDef_Oreal(tc_Nat_Onat,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__add) ).
cnf(283,axiom,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__is__num__one) ).
cnf(336,axiom,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__real__def) ).
cnf(348,axiom,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,'SKOLEMAAAV24'(X))),X)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s1) ).
cnf(355,axiom,
c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__is__id) ).
cnf(389,axiom,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__1) ).
cnf(417,axiom,
c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X,Y) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__divide__def) ).
cnf(570,axiom,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X),Y) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc) ).
cnf(1225,axiom,
( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X)
| ~ c_Orderings_Oord__class_Oless(X,c_Groups_Oplus__class_Oplus(X,Y,Z),c_Groups_Oplus__class_Oplus(X,U,Z))
| c_Orderings_Oord__class_Oless(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__cancel__right) ).
cnf(1231,axiom,
( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X)
| ~ c_Orderings_Oord__class_Oless(X,Y,Z)
| ~ c_Orderings_Oord__class_Oless(X,U,V)
| c_Orderings_Oord__class_Oless(X,c_Groups_Oplus__class_Oplus(X,Y,U),c_Groups_Oplus__class_Oplus(X,Z,V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__mono) ).
cnf(1325,axiom,
( ~ class_Groups_Ogroup__add(X)
| c_Groups_Ominus__class_Ominus(X,Y,c_Groups_Ouminus__class_Ouminus(X,Z)) = c_Groups_Oplus__class_Oplus(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__minus__eq__add) ).
cnf(1357,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| c_Groups_Oplus__class_Oplus(X,Y,Z) = c_Groups_Oplus__class_Oplus(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
cnf(1433,axiom,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add) ).
cnf(1434,axiom,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le) ).
cnf(1450,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
cnf(1471,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
cnf(1481,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
cnf(1498,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(1526,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1527,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
inference('REWRITE',[status(thm)],[1526,417,theory(equality)]) ).
cnf(1556,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),
inference('REWRITE',[status(thm)],[13,389,417,theory(equality)]) ).
cnf(1562,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
inference('REWRITE',[status(thm)],[9,389,417,theory(equality)]) ).
cnf(1570,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_OBit1(c_Int_OPls),
inference('REWRITE',[status(thm)],[283,355,theory(equality)]) ).
cnf(1605,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
inference('REWRITE',[status(thm)],[1527,1570,theory(equality)]) ).
cnf(1613,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
inference('REWRITE',[status(thm)],[1562,1570,theory(equality)]) ).
cnf(1744,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference('UR-RESOLVE',[status(thm)],[54,1498]) ).
cnf(2121,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X,Y) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,Y,X),
inference('HYPERRESOLVE',[status(thm)],[1357,1471]) ).
cnf(2130,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[100,1450]),40,theory(equality)]) ).
cnf(2772,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,Y)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X,Y),
inference('HYPERRESOLVE',[status(thm)],[1325,1481]) ).
cnf(2812,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,Y)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,Y))),
inference('REWRITE',[status(thm)],[236,2772,theory(equality)]) ).
cnf(2829,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,Y)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,Y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X)),
inference('REWRITE',[status(thm)],[2121,2772,theory(equality)]) ).
cnf(4594,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,Y))) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,Y))),
inference('PARAMODULATE',[status(thm)],[2812,570,theory(equality)]) ).
cnf(4599,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(v_N1____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N2____))))),
inference('REWRITE',[status(thm)],[1556,4594,theory(equality)]) ).
cnf(4601,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(v_N1____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N2____)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
inference('REWRITE',[status(thm)],[1613,4594,theory(equality)]) ).
cnf(4657,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_s____) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[348,336]),1744,2130,theory(equality)]) ).
cnf(4666,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_s____))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
inference('REWRITE',[status(thm)],[1605,4657,theory(equality)]) ).
cnf(4679,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(v_N1____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N2____))))),
inference('REWRITE',[status(thm)],[4599,4657,theory(equality)]) ).
cnf(4680,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(v_N1____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N2____)))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
inference('REWRITE',[status(thm)],[4601,4657,theory(equality)]) ).
cnf(15455,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_s____))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(v_N1____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N2____)))))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(v_N1____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N2____))))))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1231,4680,1433,4679]),2829,2772,theory(equality)]) ).
cnf(16185,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_s____))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1225,4666,1434]),2772,theory(equality)]) ).
cnf(16186,plain,
$false,
inference('REWRITE',[status(thm)],[15455,16185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SWW228+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 05:29:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T05:29:20
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-05T05:29:20
% 0.48/0.68
% 0.48/0.69 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.48/0.69 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.48/0.70 ; Recognized left identity assertion (= (|c_Int_Onumber__class_Onumber__of| |tc_Int_Oint| ?X) ?X).
% 0.48/0.72 WARNING:
% 0.48/0.72 |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.72 WARNING:
% 0.48/0.72 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 75.03/75.26 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 75.03/75.26
% 75.03/75.26 #||
% 75.03/75.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 75.03/75.26 % SZS output start Refutation
% See solution above
% 75.03/75.27 ||#
% 75.03/75.27
% 75.03/75.27 ; Summary of computation:
% 75.03/75.27 ; 180927 formulas have been input or derived (from 1331 formulas).
% 75.03/75.27 ; 16186 ( 9%) were retained. Of these,
% 75.03/75.27 ; 1143 ( 7%) were simplified or subsumed later,
% 75.03/75.27 ; 15043 (93%) are still being kept.
% 75.03/75.27 ;
% 75.03/75.27 ; Run time in seconds excluding printing time:
% 75.03/75.27 ; 0.214 0% Read assertion file (1 call)
% 75.03/75.27 ; 0.033 0% Assert (1,171 calls)
% 75.03/75.27 ; 2.741 4% Process new row (156,061 calls)
% 75.03/75.27 ; 10.974 15% Resolution (2,660 calls)
% 75.03/75.27 ; 0.191 0% Paramodulation (1,330 calls)
% 75.03/75.27 ; 0.000 0% Factoring (24 calls)
% 75.03/75.27 ; 0.876 1% Condensing (57,001 calls)
% 75.03/75.27 ; 21.259 28% Forward subsumption (56,998 calls)
% 75.03/75.27 ; 0.986 1% Backward subsumption (11,409 calls)
% 75.03/75.27 ; 1.620 2% Clause clause subsumption (376,668 calls)
% 75.03/75.27 ; 11.955 16% Forward simplification (155,143 calls)
% 75.03/75.27 ; 0.162 0% Backward simplification (16,117 calls)
% 75.03/75.27 ; 23.187 31% Ordering (1,173,269 calls)
% 75.03/75.27 ; 0.000 0% Sortal reasoning (32 calls)
% 75.03/75.27 ; 0.003 0% Purity testing (1 call)
% 75.03/75.27 ; 0.597 1% Other
% 75.03/75.27 ; 74.798 Total
% 75.03/75.27 ; 74.811 Real time
% 75.03/75.27 ;
% 75.03/75.28 ; Term-hash-array has 30,248 terms in all.
% 75.03/75.28 ; Feature-vector-row-index has 10,747 entries (10,747 at peak, 11,409 added, 662 deleted).
% 75.03/75.28 ; Feature-vector-row-index has 84,911 nodes (84,911 at peak, 89,627 added, 4,716 deleted).
% 75.03/75.28 ; Retrieved 1,570,796 possibly forward subsuming rows in 56,998 calls.
% 75.03/75.28 ; Retrieved 25,664 possibly backward subsumed rows in 11,409 calls.
% 75.03/75.28 ; Path-index has 28,792 entries (28,794 at peak, 30,845 added, 2,053 deleted).
% 75.03/75.28 ; Path-index has 115,716 nodes (115,716 at peak, 119,228 added, 3,512 deleted).
% 75.03/75.28 ; Trie-index has 28,792 entries (28,794 at peak, 30,845 added, 2,053 deleted).
% 75.03/75.28 ; Trie-index has 229,547 nodes (229,608 at peak, 243,132 added, 13,585 deleted).
% 75.03/75.28 ; Retrieved 1,687,995 generalization terms in 2,232,490 calls.
% 75.03/75.28 ; Retrieved 9,204 instance terms in 5,445 calls.
% 75.03/75.28 ; Retrieved 11,677,093 unifiable terms in 104,163 calls.
% 75.03/75.28 ;
% 75.03/75.28 ; The agenda of rows to process has 45 entries:
% 75.03/75.28 ; 9 with value 59 3 with value 72 1 with value 84
% 75.03/75.28 ; 8 with value 61 1 with value 73 1 with value 88
% 75.03/75.28 ; 1 with value 62 2 with value 75 1 with value 91
% 75.03/75.28 ; 2 with value 63 2 with value 77 1 with value 96
% 75.03/75.28 ; 2 with value 65 1 with value 80 2 with value 101
% 75.03/75.28 ; 1 with value 67 5 with value 83 1 with value 120
% 75.03/75.28 ; 1 with value 71
% 75.03/75.28 ; The agenda of input rows to give has 11 entries:
% 75.03/75.28 ; 3 with value 52 2 with value 59 2 with value 67
% 75.03/75.28 ; 1 with value 54 2 with value 62 1 with value 78
% 75.03/75.28 ; The agenda of rows to give has 13728 entries:
% 75.03/75.28 ; 4 with value (4 4) 30 with value (4 73) 6 with value (4 140)
% 75.03/75.28 ; 2 with value (4 6) 43 with value (4 74) 2 with value (4 141)
% 75.03/75.28 ; 3 with value (4 7) 25 with value (4 75) 3 with value (4 142)
% 75.03/75.28 ; 15 with value (4 8) 38 with value (4 76) 2 with value (4 143)
% 75.03/75.28 ; 26 with value (4 9) 39 with value (4 77) 2 with value (4 144)
% 75.03/75.28 ; 44 with value (4 10) 56 with value (4 78) 1 with value (4 145)
% 75.03/75.28 ; 74 with value (4 11) 28 with value (4 79) 6 with value (4 146)
% 75.03/75.28 ; 83 with value (4 12) 43 with value (4 80) 6 with value (4 147)
% 75.03/75.28 ; 147 with value (4 13) 23 with value (4 81) 1 with value (4 148)
% 75.03/75.28 ; 149 with value (4 14) 23 with value (4 82) 4 with value (4 149)
% 75.03/75.28 ; 130 with value (4 15) 34 with value (4 83) 3 with value (4 150)
% 75.03/75.28 ; 176 with value (4 16) 36 with value (4 84) 1 with value (4 151)
% 75.03/75.28 ; 250 with value (4 17) 21 with value (4 85) 9 with value (4 152)
% 75.03/75.28 ; 229 with value (4 18) 37 with value (4 86) 8 with value (4 154)
% 75.03/75.28 ; 236 with value (4 19) 27 with value (4 87) 2 with value (4 155)
% 75.03/75.28 ; 348 with value (4 20) 12 with value (4 88) 2 with value (4 156)
% 75.03/75.28 ; 225 with value (4 21) 13 with value (4 89) 3 with value (4 159)
% 75.03/75.28 ; 370 with value (4 22) 23 with value (4 90) 1 with value (4 160)
% 75.03/75.28 ; 361 with value (4 23) 29 with value (4 91) 3 with value (4 162)
% 75.03/75.28 ; 441 with value (4 24) 21 with value (4 92) 4 with value (4 163)
% 75.03/75.28 ; 282 with value (4 25) 9 with value (4 93) 1 with value (4 164)
% 75.03/75.28 ; 400 with value (4 26) 5 with value (4 94) 2 with value (4 165)
% 75.03/75.28 ; 317 with value (4 27) 14 with value (4 95) 3 with value (4 168)
% 75.03/75.28 ; 302 with value (4 28) 23 with value (4 96) 3 with value (4 169)
% 75.03/75.28 ; 308 with value (4 29) 32 with value (4 97) 3 with value (4 170)
% 75.03/75.28 ; 326 with value (4 30) 10 with value (4 98) 2 with value (4 172)
% 75.03/75.28 ; 295 with value (4 31) 19 with value (4 99) 1 with value (4 173)
% 75.03/75.28 ; 322 with value (4 32) 20 with value (4 100) 3 with value (4 174)
% 75.03/75.28 ; 257 with value (4 33) 11 with value (4 101) 4 with value (4 175)
% 75.03/75.28 ; 309 with value (4 34) 26 with value (4 102) 5 with value (4 176)
% 75.03/75.28 ; 257 with value (4 35) 14 with value (4 103) 2 with value (4 180)
% 75.03/75.28 ; 292 with value (4 36) 18 with value (4 104) 1 with value (4 182)
% 75.03/75.28 ; 269 with value (4 37) 6 with value (4 105) 2 with value (4 183)
% 75.03/75.28 ; 249 with value (4 38) 8 with value (4 106) 1 with value (4 184)
% 75.03/75.28 ; 333 with value (4 39) 6 with value (4 107) 1 with value (4 187)
% 75.03/75.28 ; 252 with value (4 40) 3 with value (4 108) 1 with value (4 192)
% 75.03/75.28 ; 230 with value (4 41) 7 with value (4 109) 1 with value (4 193)
% 75.03/75.28 ; 197 with value (4 42) 16 with value (4 110) 1 with value (4 194)
% 75.03/75.28 ; 239 with value (4 43) 9 with value (4 111) 1 with value (4 196)
% 75.03/75.28 ; 204 with value (4 44) 7 with value (4 112) 2 with value (4 200)
% 75.03/75.28 ; 197 with value (4 45) 21 with value (4 113) 1 with value (4 202)
% 75.03/75.28 ; 217 with value (4 46) 8 with value (4 114) 4 with value (4 203)
% 75.03/75.28 ; 244 with value (4 47) 18 with value (4 115) 4 with value (4 205)
% 75.03/75.28 ; 183 with value (4 48) 9 with value (4 116) 1 with value (4 206)
% 75.03/75.28 ; 176 with value (4 49) 17 with value (4 117) 3 with value (4 212)
% 75.03/75.28 ; 215 with value (4 50) 20 with value (4 118) 1 with value (4 214)
% 75.03/75.28 ; 157 with value (4 51) 10 with value (4 119) 3 with value (4 215)
% 75.03/75.28 ; 195 with value (4 52) 5 with value (4 120) 1 with value (4 218)
% 75.03/75.28 ; 151 with value (4 53) 7 with value (4 121) 2 with value (4 220)
% 75.03/75.28 ; 120 with value (4 54) 2 with value (4 122) 4 with value (4 225)
% 75.03/75.28 ; 148 with value (4 55) 6 with value (4 123) 1 with value (4 228)
% 75.03/75.28 ; 134 with value (4 56) 4 with value (4 124) 1 with value (4 247)
% 75.03/75.28 ; 169 with value (4 57) 5 with value (4 125) 1 with value (4 248)
% 75.03/75.28 ; 99 with value (4 58) 6 with value (4 126) 3 with value (4 251)
% 75.03/75.28 ; 120 with value (4 59) 10 with value (4 127) 1 with value (4 256)
% 75.03/75.28 ; 89 with value (4 60) 8 with value (4 128) 2 with value (4 263)
% 75.03/75.28 ; 94 with value (4 61) 9 with value (4 129) 2 with value (4 279)
% 75.03/75.28 ; 97 with value (4 62) 3 with value (4 130) 1 with value (4 320)
% 75.03/75.28 ; 169 with value (4 63) 8 with value (4 131) 2 with value (4 344)
% 75.03/75.28 ; 107 with value (4 64) 7 with value (4 132) 2 with value (4 345)
% 75.03/75.28 ; 90 with value (4 65) 9 with value (4 133) 1 with value (4 351)
% 75.03/75.28 ; 45 with value (4 66) 7 with value (4 134) 1 with value (4 435)
% 75.03/75.28 ; 53 with value (4 67) 1 with value (4 135) 1 with value (4 515)
% 75.03/75.28 ; 58 with value (4 68) 3 with value (4 136) 1 with value (4 600)
% 75.03/75.28 ; 56 with value (4 69) 3 with value (4 137) 2 with value (4 606)
% 75.03/75.28 ; 32 with value (4 70) 11 with value (4 138) 1 with value (4 900)
% 75.03/75.28 ; 80 with value (4 71) 7 with value (4 139) 1 with value (4 1039)
% 75.03/75.28 ; 35 with value (4 72)
% 75.03/75.28 Evaluation took:
% 75.03/75.28 74.82 seconds of real time
% 75.03/75.28 71.3956 seconds of user run time
% 75.03/75.28 3.416296 seconds of system run time
% 75.03/75.28 [Run times include 10.123 seconds GC run time.]
% 75.03/75.28 0 calls to %EVAL
% 75.03/75.28 0 page faults and
% 75.03/75.28 5,728,041,584 bytes consed.
% 75.03/75.28 :PROOF-FOUND
% 75.03/75.28 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T05:30:35
% 75.03/75.28 :PROOF-FOUND
% 75.03/75.28 *
%------------------------------------------------------------------------------