TSTP Solution File: SWW227+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW227+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 12.93s 13.12s
% Output : Refutation 12.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of clauses : 38 ( 27 unt; 1 nHn; 27 RR)
% Number of literals : 51 ( 14 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 10 con; 0-3 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__0962_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096) ).
cnf(3,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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/sandbox2/benchmark/theBenchmark.p',fact_e2) ).
cnf(7,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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____)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_091_124_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_060_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_059_A0_A_060_A2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_124_093_061_061_062_Ainverse_A_Ireal_A_ISuc_A_IN1_A_L_AN2_J_J_J_A_060_Ainverse_A_I2_A_P_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_J_096) ).
cnf(8,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_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_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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____)))))) ),
inference('REWRITE',[status(thm)],[7,1]) ).
cnf(49,axiom,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__norm__def) ).
cnf(51,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/sandbox2/benchmark/theBenchmark.p',fact_one__is__num__one) ).
cnf(67,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/sandbox2/benchmark/theBenchmark.p',fact_norm__not__less__zero) ).
cnf(102,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/sandbox2/benchmark/theBenchmark.p',fact_norm__minus__cancel) ).
cnf(137,axiom,
c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_number__of__is__id) ).
cnf(260,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/sandbox2/benchmark/theBenchmark.p',fact_abs__real__def) ).
cnf(322,axiom,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__1) ).
cnf(355,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/sandbox2/benchmark/theBenchmark.p',fact_real__divide__def) ).
cnf(502,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,'SKOLEMAAAV25'(X))),X)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_s1) ).
cnf(840,axiom,
( ~ class_Rings_Odivision__ring__inverse__zero(X)
| c_Rings_Oinverse__class_Oinverse(X,c_Rings_Oinverse__class_Oinverse(X,Y)) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_inverse__inverse__eq) ).
cnf(1035,axiom,
( ~ class_Fields_Ofield__inverse__zero(X)
| c_Rings_Oinverse__class_Oinverse(X,c_Rings_Oinverse__class_Odivide(X,Y,Z)) = c_Rings_Oinverse__class_Odivide(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_inverse__divide) ).
cnf(1093,axiom,
( ~ class_Fields_Olinordered__field__inverse__zero(X)
| c_Orderings_Oord__class_Oless(X,c_Groups_Ozero__class_Ozero(X),c_Rings_Oinverse__class_Oinverse(X,Y))
| ~ c_Orderings_Oord__class_Oless(X,c_Groups_Ozero__class_Ozero(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_inverse__positive__iff__positive) ).
cnf(1428,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
cnf(1432,axiom,
class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero) ).
cnf(1442,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
cnf(1451,axiom,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Ofield__inverse__zero) ).
cnf(1490,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(1518,negated_conjecture,
~ 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/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(1519,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)],[1518,322,355,theory(equality)]) ).
cnf(1554,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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_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)],[3,355,theory(equality)]) ).
cnf(1563,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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_Oinverse(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_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_Rings_Oinverse__class_Oinverse(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_Oinverse(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____))))))) ),
inference('REWRITE',[status(thm)],[8,355,theory(equality)]) ).
cnf(1577,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_OBit1(c_Int_OPls),
inference('REWRITE',[status(thm)],[51,137,theory(equality)]) ).
cnf(1611,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)],[1519,1577,theory(equality)]) ).
cnf(1617,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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_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)],[1554,1577,theory(equality)]) ).
cnf(1626,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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_Rings_Oinverse__class_Oinverse(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_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_Rings_Oinverse__class_Oinverse(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_Rings_Oinverse__class_Oinverse(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____))))))) ),
inference('REWRITE',[status(thm)],[1563,1577,theory(equality)]) ).
cnf(1733,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)],[67,1490]) ).
cnf(1873,plain,
c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X)) = X,
inference('HYPERRESOLVE',[status(thm)],[840,1432]) ).
cnf(2120,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)],[102,1442]),49,theory(equality)]) ).
cnf(2686,plain,
c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,Y))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,Y,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1035,1451]),355,theory(equality)]) ).
cnf(2691,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(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_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)],[1626,1611,1873,2686,theory(equality)]) ).
cnf(4649,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)],[502,260]),1733,2120,theory(equality)]) ).
cnf(4657,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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)))))),
inference('REWRITE',[status(thm)],[1617,4649,theory(equality)]) ).
cnf(4669,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(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))))))),
inference('REWRITE',[status(thm)],[2691,4649,theory(equality)]) ).
cnf(10363,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1093,4657,1428]),4669]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW227+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 4 12:02:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T12:02:44
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-04T12:02:44
% 0.47/0.70
% 0.47/0.70 ; Recognized left identity assertion (= (|c_Int_Onumber__class_Onumber__of| |tc_Int_Oint| ?X) ?X).
% 0.47/0.70 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.47/0.71 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.56/0.73 WARNING:
% 0.56/0.73 |class_Groups_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.56/0.73 WARNING:
% 0.56/0.73 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 12.93/13.12 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 12.93/13.12
% 12.93/13.12 #||
% 12.93/13.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.93/13.12 % SZS output start Refutation
% See solution above
% 12.93/13.15 ||#
% 12.93/13.15
% 12.93/13.15 ; Summary of computation:
% 12.93/13.15 ; 84557 formulas have been input or derived (from 1213 formulas).
% 12.93/13.15 ; 10363 (12%) were retained. Of these,
% 12.93/13.15 ; 780 ( 8%) were simplified or subsumed later,
% 12.93/13.15 ; 9583 (92%) are still being kept.
% 12.93/13.15 ;
% 12.93/13.15 ; Run time in seconds excluding printing time:
% 12.93/13.15 ; 0.218 2% Read assertion file (1 call)
% 12.93/13.15 ; 0.034 0% Assert (1,171 calls)
% 12.93/13.15 ; 1.157 9% Process new row (73,976 calls)
% 12.93/13.15 ; 3.321 26% Resolution (2,424 calls)
% 12.93/13.15 ; 0.187 1% Paramodulation (1,212 calls)
% 12.93/13.15 ; 0.000 0% Factoring (24 calls)
% 12.93/13.15 ; 0.253 2% Condensing (15,529 calls)
% 12.93/13.15 ; 1.868 15% Forward subsumption (15,529 calls)
% 12.93/13.15 ; 0.356 3% Backward subsumption (6,776 calls)
% 12.93/13.15 ; 0.377 3% Clause clause subsumption (73,776 calls)
% 12.93/13.15 ; 2.720 21% Forward simplification (73,060 calls)
% 12.93/13.15 ; 0.144 1% Backward simplification (10,292 calls)
% 12.93/13.15 ; 1.783 14% Ordering (186,243 calls)
% 12.93/13.15 ; 0.000 0% Sortal reasoning (32 calls)
% 12.93/13.15 ; 0.003 0% Purity testing (1 call)
% 12.93/13.15 ; 0.231 2% Other
% 12.93/13.15 ; 12.652 Total
% 12.93/13.15 ; 12.688 Real time
% 12.93/13.15 ;
% 12.93/13.16 ; Term-hash-array has 18,362 terms in all.
% 12.93/13.16 ; Feature-vector-row-index has 6,434 entries (6,434 at peak, 6,776 added, 342 deleted).
% 12.93/13.16 ; Feature-vector-row-index has 35,466 nodes (35,466 at peak, 38,383 added, 2,917 deleted).
% 12.93/13.16 ; Retrieved 123,431 possibly forward subsuming rows in 15,529 calls.
% 12.93/13.16 ; Retrieved 8,550 possibly backward subsumed rows in 6,776 calls.
% 12.93/13.16 ; Path-index has 17,286 entries (17,286 at peak, 18,709 added, 1,423 deleted).
% 12.93/13.16 ; Path-index has 48,392 nodes (48,392 at peak, 51,180 added, 2,788 deleted).
% 12.93/13.16 ; Trie-index has 17,286 entries (17,286 at peak, 18,709 added, 1,423 deleted).
% 12.93/13.16 ; Trie-index has 93,675 nodes (93,675 at peak, 103,466 added, 9,791 deleted).
% 12.93/13.16 ; Retrieved 493,501 generalization terms in 659,704 calls.
% 12.93/13.16 ; Retrieved 7,593 instance terms in 4,224 calls.
% 12.93/13.16 ; Retrieved 4,771,046 unifiable terms in 42,158 calls.
% 12.93/13.16 ;
% 12.93/13.16 ; The agenda of rows to process has 835 entries:
% 12.93/13.16 ; 3 with value 36 1 with value 51 25 with value 68
% 12.93/13.16 ; 78 with value 37 18 with value 52 12 with value 69
% 12.93/13.16 ; 18 with value 38 6 with value 53 6 with value 70
% 12.93/13.16 ; 12 with value 39 16 with value 54 24 with value 71
% 12.93/13.16 ; 82 with value 40 6 with value 55 2 with value 72
% 12.93/13.16 ; 20 with value 41 19 with value 56 12 with value 73
% 12.93/13.16 ; 11 with value 42 20 with value 58 54 with value 74
% 12.93/13.16 ; 16 with value 43 6 with value 60 12 with value 75
% 12.93/13.16 ; 23 with value 44 70 with value 61 6 with value 76
% 12.93/13.16 ; 24 with value 45 24 with value 62 30 with value 82
% 12.93/13.16 ; 28 with value 46 26 with value 63 1 with value 89
% 12.93/13.16 ; 6 with value 47 35 with value 64 2 with value 92
% 12.93/13.16 ; 20 with value 48 11 with value 65 1 with value 93
% 12.93/13.16 ; 24 with value 49 6 with value 66 4 with value 98
% 12.93/13.16 ; 10 with value 50 4 with value 67 1 with value 119
% 12.93/13.16 ; The agenda of input rows to give has 131 entries:
% 12.93/13.16 ; 12 with value 33 3 with value 40 1 with value 49
% 12.93/13.16 ; 11 with value 34 7 with value 42 3 with value 52
% 12.93/13.16 ; 22 with value 35 7 with value 43 1 with value 54
% 12.93/13.16 ; 6 with value 36 10 with value 44 2 with value 59
% 12.93/13.16 ; 16 with value 37 1 with value 45 2 with value 62
% 12.93/13.16 ; 2 with value 38 2 with value 46 2 with value 67
% 12.93/13.16 ; 19 with value 39 1 with value 47 1 with value 78
% 12.93/13.16 ; The agenda of rows to give has 8265 entries:
% 12.93/13.16 ; 4 with value (4 4) 101 with value (4 42) 7 with value (4 80)
% 12.93/13.16 ; 2 with value (4 6) 107 with value (4 43) 3 with value (4 82)
% 12.93/13.16 ; 3 with value (4 7) 76 with value (4 44) 9 with value (4 83)
% 12.93/13.16 ; 15 with value (4 8) 63 with value (4 45) 8 with value (4 84)
% 12.93/13.16 ; 26 with value (4 9) 63 with value (4 46) 1 with value (4 86)
% 12.93/13.16 ; 44 with value (4 10) 109 with value (4 47) 2 with value (4 87)
% 12.93/13.16 ; 73 with value (4 11) 84 with value (4 48) 6 with value (4 90)
% 12.93/13.16 ; 82 with value (4 12) 59 with value (4 49) 3 with value (4 91)
% 12.93/13.16 ; 146 with value (4 13) 61 with value (4 50) 2 with value (4 95)
% 12.93/13.16 ; 148 with value (4 14) 32 with value (4 51) 10 with value (4 97)
% 12.93/13.16 ; 129 with value (4 15) 38 with value (4 52) 1 with value (4 99)
% 12.93/13.16 ; 155 with value (4 16) 36 with value (4 53) 5 with value (4 100)
% 12.93/13.16 ; 246 with value (4 17) 25 with value (4 54) 2 with value (4 102)
% 12.93/13.16 ; 226 with value (4 18) 36 with value (4 55) 4 with value (4 107)
% 12.93/13.16 ; 228 with value (4 19) 29 with value (4 56) 4 with value (4 110)
% 12.93/13.16 ; 339 with value (4 20) 37 with value (4 57) 4 with value (4 111)
% 12.93/13.16 ; 194 with value (4 21) 33 with value (4 58) 2 with value (4 113)
% 12.93/13.16 ; 339 with value (4 22) 21 with value (4 59) 4 with value (4 127)
% 12.93/13.16 ; 333 with value (4 23) 13 with value (4 60) 6 with value (4 128)
% 12.93/13.16 ; 400 with value (4 24) 9 with value (4 61) 2 with value (4 146)
% 12.93/13.16 ; 262 with value (4 25) 18 with value (4 62) 2 with value (4 147)
% 12.93/13.16 ; 345 with value (4 26) 29 with value (4 63) 2 with value (4 149)
% 12.93/13.16 ; 276 with value (4 27) 24 with value (4 64) 2 with value (4 152)
% 12.93/13.16 ; 248 with value (4 28) 16 with value (4 65) 8 with value (4 154)
% 12.93/13.16 ; 245 with value (4 29) 11 with value (4 66) 1 with value (4 162)
% 12.93/13.16 ; 273 with value (4 30) 5 with value (4 67) 1 with value (4 163)
% 12.93/13.16 ; 243 with value (4 31) 24 with value (4 68) 1 with value (4 168)
% 12.93/13.16 ; 240 with value (4 32) 9 with value (4 69) 2 with value (4 172)
% 12.93/13.16 ; 175 with value (4 33) 10 with value (4 70) 1 with value (4 180)
% 12.93/13.16 ; 256 with value (4 34) 15 with value (4 71) 4 with value (4 205)
% 12.93/13.16 ; 171 with value (4 35) 7 with value (4 72) 1 with value (4 247)
% 12.93/13.16 ; 197 with value (4 36) 6 with value (4 73) 1 with value (4 248)
% 12.93/13.16 ; 180 with value (4 37) 3 with value (4 74) 2 with value (4 263)
% 12.93/13.16 ; 175 with value (4 38) 2 with value (4 76) 2 with value (4 344)
% 12.93/13.16 ; 210 with value (4 39) 18 with value (4 77) 2 with value (4 345)
% 12.93/13.16 ; 169 with value (4 40) 6 with value (4 78) 1 with value (4 351)
% 12.93/13.16 ; 113 with value (4 41) 2 with value (4 79)
% 12.93/13.16 Evaluation took:
% 12.93/13.16 12.692 seconds of real time
% 12.93/13.16 11.867575 seconds of user run time
% 12.93/13.16 0.824894 seconds of system run time
% 12.93/13.16 [Run times include 1.75 seconds GC run time.]
% 12.93/13.16 0 calls to %EVAL
% 12.93/13.16 0 page faults and
% 12.93/13.16 886,142,304 bytes consed.
% 12.93/13.16 :PROOF-FOUND
% 12.93/13.16 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T12:02:57
% 12.93/13.16 :PROOF-FOUND
% 12.93/13.16 *
%------------------------------------------------------------------------------