TSTP Solution File: SWW230+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW230+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 14.24s 14.48s
% Output   : Refutation 14.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   40 (  33 unt;   1 nHn;  20 RR)
%            Number of literals    :   47 (  23 equ;  14 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;  11 con; 0-3 aty)
%            Number of variables   :   40 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    c_Orderings_Oord__class_Oless__eq(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_Groups_Oplus__class_Oplus(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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(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_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096abs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_060_061_Aabs_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_L_Acmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_A_N_Apoly_Ap_Az_J_096) ).

cnf(12,axiom,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sum__of__halves) ).

cnf(15,axiom,
    ( ~ class_Int_Onumber__ring(X)
    | c_Groups_Otimes__class_Otimes(X,Y,c_Int_Onumber__class_Onumber__of(X,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(X,Y,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__2__right) ).

cnf(87,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,'SKOLEMAAAV6'(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(224,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(251,axiom,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,Y) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).

cnf(252,axiom,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,Y),Z) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__assoc) ).

cnf(344,axiom,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X,Y),Z) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,Z),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__mult__distrib) ).

cnf(373,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(382,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_divide__real__def) ).

cnf(480,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(481,plain,
    c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_OBit1(c_Int_OPls),
    inference('REWRITE',[status(thm)],[480,373,theory(equality)]) ).

cnf(818,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(864,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(955,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(1357,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(1479,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).

cnf(1510,axiom,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).

cnf(1513,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring) ).

cnf(1527,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

cnf(1555,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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))))),c_Groups_Oplus__class_Oplus(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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(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_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

cnf(1556,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(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_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))))),c_Groups_Oplus__class_Oplus(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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(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_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
    inference('REWRITE',[status(thm)],[1555,252,382,481,theory(equality)]) ).

cnf(1560,plain,
    ( ~ class_Int_Onumber__ring(X)
    | c_Groups_Otimes__class_Otimes(X,Y,c_Int_Onumber__class_Onumber__of(X,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))) = c_Groups_Oplus__class_Oplus(X,Y,Y) ),
    inference('REWRITE',[status(thm)],[15,481,theory(equality)]) ).

cnf(1606,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,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_Otimes__class_Otimes(tc_RealDef_Oreal,X,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)))))) = X,
    inference('REWRITE',[status(thm)],[12,481,382,theory(equality)]) ).

cnf(1795,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)],[955,1527]) ).

cnf(2256,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)],[864,1479]),818,theory(equality)]) ).

cnf(2748,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)],[1357,1510]) ).

cnf(2771,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,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_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,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))))))) = X,
    inference('REWRITE',[status(thm)],[1606,2748,theory(equality)]) ).

cnf(2811,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,Y)),Z) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,Z),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,Y,Z))),
    inference('REWRITE',[status(thm)],[344,2748,theory(equality)]) ).

cnf(2826,plain,
    c_Orderings_Oord__class_Oless__eq(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_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_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(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_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))))),
    inference('REWRITE',[status(thm)],[3,2748,theory(equality)]) ).

cnf(2827,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(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_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))))),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_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(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_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))))),
    inference('REWRITE',[status(thm)],[1556,2748,theory(equality)]) ).

cnf(2898,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,Y),Z) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,Z,X),Y),
    inference('PARAMODULATE',[status(thm)],[251,252,theory(equality)]) ).

cnf(2899,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))),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_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_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(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_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))))),
    inference('REWRITE',[status(thm)],[2827,2898,theory(equality)]) ).

cnf(4569,plain,
    c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Groups_Oone__class_Oone(tc_Int_Oint)))) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1560,1513]),2748,theory(equality)]) ).

cnf(4570,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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_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_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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_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_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_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(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_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))))),
    inference('REWRITE',[status(thm)],[2899,2811,4569,theory(equality)]) ).

cnf(4626,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)],[87,224]),1795,2256,theory(equality)]) ).

cnf(4647,plain,
    c_Orderings_Oord__class_Oless__eq(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_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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(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_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))))),
    inference('REWRITE',[status(thm)],[2826,4626,theory(equality)]) ).

cnf(4649,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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_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_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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_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_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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(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_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))))),
    inference('REWRITE',[status(thm)],[4570,4626,theory(equality)]) ).

cnf(10686,plain,
    c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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)))),X),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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)))),X))) = X,
    inference('PARAMODULATE',[status(thm)],[2771,251,theory(equality)]) ).

cnf(10687,plain,
    $false,
    inference('REWRITE',[status(thm)],[4649,4647,10686,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWW230+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jun  4 20:29:31 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T20:29:32
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-04T20:29:32
% 0.56/0.75  
% 0.56/0.75  ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.56/0.76  ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.56/0.76  ; Recognized left identity assertion (= (|c_Int_Onumber__class_Onumber__of| |tc_Int_Oint| ?X) ?X).
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.63/0.79  WARNING:
% 0.63/0.79     |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 14.24/14.48  ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 14.24/14.48  
% 14.24/14.48  #||
% 14.24/14.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.24/14.48  % SZS output start Refutation
% See solution above
% 14.34/14.51  ||#
% 14.34/14.51  
% 14.34/14.51  ; Summary of computation:
% 14.34/14.51  ;     87460 formulas have been input or derived (from 1230 formulas).
% 14.34/14.51  ;     10687 (12%) were retained.  Of these,
% 14.34/14.51  ;          861 ( 8%) were simplified or subsumed later,
% 14.34/14.51  ;         9826 (92%) are still being kept.
% 14.34/14.51  ; 
% 14.34/14.51  ; Run time in seconds excluding printing time:
% 14.34/14.51  ;     0.227   2%   Read assertion file          (1 call)
% 14.34/14.51  ;     0.039   0%   Assert                       (1,171 calls)
% 14.34/14.51  ;     1.205   9%   Process new row              (75,315 calls)
% 14.34/14.51  ;     3.799  27%   Resolution                   (2,458 calls)
% 14.34/14.51  ;     0.189   1%   Paramodulation               (1,229 calls)
% 14.34/14.51  ;     0.001   0%   Factoring                    (24 calls)
% 14.34/14.51  ;     0.199   1%   Condensing                   (15,772 calls)
% 14.34/14.51  ;     2.298  16%   Forward subsumption          (15,772 calls)
% 14.34/14.51  ;     0.430   3%   Backward subsumption         (6,856 calls)
% 14.34/14.51  ;     0.307   2%   Clause clause subsumption    (75,949 calls)
% 14.34/14.51  ;     2.949  21%   Forward simplification       (74,401 calls)
% 14.34/14.51  ;     0.143   1%   Backward simplification      (10,580 calls)
% 14.34/14.51  ;     1.940  14%   Ordering                     (192,273 calls)
% 14.34/14.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 14.34/14.51  ;     0.003   0%   Purity testing               (1 call)
% 14.34/14.51  ;     0.233   2%   Other
% 14.34/14.51  ;    13.962        Total
% 14.34/14.51  ;    14.003        Real time
% 14.34/14.51  ; 
% 14.34/14.52  ; Term-hash-array has 19,030 terms in all.
% 14.34/14.52  ; Feature-vector-row-index has 6,530 entries (6,530 at peak, 6,856 added, 326 deleted).
% 14.34/14.52  ; Feature-vector-row-index has 36,375 nodes (36,375 at peak, 38,877 added, 2,502 deleted).
% 14.34/14.52  ;  Retrieved 125,078 possibly forward subsuming rows in 15,772 calls.
% 14.34/14.52  ;  Retrieved 8,503 possibly backward subsumed rows in 6,856 calls.
% 14.34/14.52  ; Path-index has 17,874 entries (17,877 at peak, 19,377 added, 1,503 deleted).
% 14.34/14.52  ; Path-index has 57,576 nodes (57,589 at peak, 60,591 added, 3,015 deleted).
% 14.34/14.52  ; Trie-index has 17,874 entries (17,877 at peak, 19,377 added, 1,503 deleted).
% 14.34/14.52  ; Trie-index has 106,200 nodes (106,333 at peak, 118,430 added, 12,230 deleted).
% 14.34/14.52  ; Retrieved 510,924 generalization terms in 684,984 calls.
% 14.34/14.52  ; Retrieved 7,770 instance terms in 4,426 calls.
% 14.34/14.52  ; Retrieved 5,080,762 unifiable terms in 44,498 calls.
% 14.34/14.52  ; 
% 14.34/14.52  ; The agenda of rows to process has 2236 entries:
% 14.34/14.52  ;    14 with value 36             20 with value 66               8 with value 96
% 14.34/14.52  ;     7 with value 37             65 with value 67               4 with value 99
% 14.34/14.52  ;    15 with value 38              1 with value 68               2 with value 104
% 14.34/14.52  ;    29 with value 39             10 with value 69               4 with value 106
% 14.34/14.52  ;    78 with value 40             33 with value 70               2 with value 107
% 14.34/14.52  ;    50 with value 41              4 with value 71               6 with value 108
% 14.34/14.52  ;   103 with value 42              4 with value 72               2 with value 112
% 14.34/14.52  ;    92 with value 43             10 with value 73               4 with value 116
% 14.34/14.52  ;    99 with value 44             10 with value 74               1 with value 118
% 14.34/14.52  ;   161 with value 45             47 with value 75               1 with value 119
% 14.34/14.52  ;    98 with value 46             12 with value 76              16 with value 120
% 14.34/14.52  ;   206 with value 47             20 with value 77               1 with value 121
% 14.34/14.52  ;    56 with value 48             14 with value 78               4 with value 122
% 14.34/14.52  ;    80 with value 49              3 with value 79               4 with value 123
% 14.34/14.52  ;    16 with value 50             23 with value 80              18 with value 124
% 14.34/14.52  ;    25 with value 51             27 with value 81              12 with value 125
% 14.34/14.52  ;    37 with value 52             23 with value 82               1 with value 127
% 14.34/14.52  ;    21 with value 53             18 with value 83               4 with value 134
% 14.34/14.52  ;    25 with value 54             82 with value 84               1 with value 140
% 14.34/14.52  ;    14 with value 55            112 with value 85               2 with value 148
% 14.34/14.52  ;    22 with value 56             34 with value 86               2 with value 152
% 14.34/14.52  ;    28 with value 57             40 with value 87               2 with value 160
% 14.34/14.52  ;    10 with value 59             18 with value 88               2 with value 164
% 14.34/14.52  ;    37 with value 60             26 with value 89              36 with value 168
% 14.34/14.52  ;    43 with value 61              4 with value 90               2 with value 172
% 14.34/14.52  ;    14 with value 63              5 with value 91               8 with value 176
% 14.34/14.52  ;     1 with value 64             12 with value 92               1 with value 248
% 14.34/14.52  ;    27 with value 65              1 with value 93
% 14.34/14.52  ; The agenda of input rows to give has 113 entries:
% 14.34/14.52  ;     2 with value 34              7 with value 43               3 with value 52
% 14.34/14.52  ;    22 with value 35             10 with value 44               1 with value 54
% 14.34/14.52  ;     6 with value 36              1 with value 45               2 with value 59
% 14.34/14.52  ;    16 with value 37              2 with value 46               2 with value 62
% 14.34/14.52  ;     2 with value 38              1 with value 47               1 with value 65
% 14.34/14.52  ;    19 with value 39              1 with value 49               2 with value 67
% 14.34/14.52  ;     3 with value 40              1 with value 51               1 with value 78
% 14.34/14.52  ;     8 with value 42
% 14.34/14.52  ; The agenda of rows to give has 8509 entries:
% 14.34/14.52  ;     4 with value (4 4)         115 with value (4 47)           1 with value (4 93)
% 14.34/14.52  ;     2 with value (4 6)          89 with value (4 48)           2 with value (4 94)
% 14.34/14.52  ;     3 with value (4 7)          63 with value (4 49)           3 with value (4 95)
% 14.34/14.52  ;    15 with value (4 8)          65 with value (4 50)          13 with value (4 97)
% 14.34/14.52  ;    26 with value (4 9)          36 with value (4 51)           1 with value (4 98)
% 14.34/14.52  ;    44 with value (4 10)         40 with value (4 52)           3 with value (4 99)
% 14.34/14.52  ;    74 with value (4 11)         41 with value (4 53)           5 with value (4 100)
% 14.34/14.52  ;    82 with value (4 12)         27 with value (4 54)           3 with value (4 101)
% 14.34/14.52  ;   146 with value (4 13)         39 with value (4 55)           5 with value (4 102)
% 14.34/14.52  ;   148 with value (4 14)         30 with value (4 56)           1 with value (4 104)
% 14.34/14.52  ;   129 with value (4 15)         39 with value (4 57)           4 with value (4 107)
% 14.34/14.52  ;   155 with value (4 16)         35 with value (4 58)           4 with value (4 110)
% 14.34/14.52  ;   247 with value (4 17)         21 with value (4 59)           4 with value (4 111)
% 14.34/14.52  ;   226 with value (4 18)         15 with value (4 60)           2 with value (4 113)
% 14.34/14.52  ;   227 with value (4 19)         10 with value (4 61)           1 with value (4 117)
% 14.34/14.52  ;   339 with value (4 20)         19 with value (4 62)           1 with value (4 119)
% 14.34/14.52  ;   196 with value (4 21)         35 with value (4 63)           4 with value (4 127)
% 14.34/14.52  ;   343 with value (4 22)         27 with value (4 64)           6 with value (4 128)
% 14.34/14.52  ;   329 with value (4 23)         22 with value (4 65)           1 with value (4 129)
% 14.34/14.52  ;   406 with value (4 24)         14 with value (4 66)           3 with value (4 133)
% 14.34/14.52  ;   258 with value (4 25)          9 with value (4 67)           1 with value (4 134)
% 14.34/14.52  ;   344 with value (4 26)         26 with value (4 68)           5 with value (4 138)
% 14.34/14.52  ;   285 with value (4 27)         13 with value (4 69)           1 with value (4 139)
% 14.34/14.52  ;   252 with value (4 28)         10 with value (4 70)           2 with value (4 146)
% 14.34/14.52  ;   252 with value (4 29)         24 with value (4 71)           2 with value (4 147)
% 14.34/14.52  ;   274 with value (4 30)         11 with value (4 72)           2 with value (4 149)
% 14.34/14.52  ;   245 with value (4 31)          7 with value (4 73)           2 with value (4 152)
% 14.34/14.52  ;   248 with value (4 32)         10 with value (4 74)           8 with value (4 154)
% 14.34/14.52  ;   175 with value (4 33)         11 with value (4 76)           1 with value (4 155)
% 14.34/14.52  ;   260 with value (4 34)         24 with value (4 77)           1 with value (4 162)
% 14.34/14.52  ;   174 with value (4 35)          7 with value (4 78)           1 with value (4 163)
% 14.34/14.52  ;   203 with value (4 36)          2 with value (4 79)           1 with value (4 168)
% 14.34/14.52  ;   181 with value (4 37)          7 with value (4 80)           2 with value (4 172)
% 14.34/14.52  ;   184 with value (4 38)          3 with value (4 82)           1 with value (4 180)
% 14.34/14.52  ;   220 with value (4 39)          9 with value (4 83)           4 with value (4 205)
% 14.34/14.52  ;   173 with value (4 40)          8 with value (4 84)           1 with value (4 212)
% 14.34/14.52  ;   120 with value (4 41)          1 with value (4 86)           1 with value (4 247)
% 14.34/14.52  ;   107 with value (4 42)          3 with value (4 87)           1 with value (4 248)
% 14.34/14.52  ;   109 with value (4 43)          1 with value (4 89)           2 with value (4 263)
% 14.34/14.52  ;    81 with value (4 44)          6 with value (4 90)           2 with value (4 344)
% 14.34/14.52  ;    66 with value (4 45)          3 with value (4 91)           2 with value (4 345)
% 14.34/14.52  ;    68 with value (4 46)          1 with value (4 92)           1 with value (4 351)
% 14.34/14.52  Evaluation took:
% 14.34/14.52    14.009 seconds of real time
% 14.34/14.52    13.148817 seconds of user run time
% 14.34/14.52    0.855786 seconds of system run time
% 14.34/14.52    [Run times include 2.028 seconds GC run time.]
% 14.34/14.52    0 calls to %EVAL
% 14.34/14.52    0 page faults and
% 14.34/14.52    933,366,864 bytes consed.
% 14.34/14.52  :PROOF-FOUND
% 14.34/14.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T20:29:46
% 14.34/14.52  :PROOF-FOUND
% 14.34/14.52  * 
%------------------------------------------------------------------------------