TSTP Solution File: ALG409-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG409-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14 18:00:45 EDT 2022
% Result : Unsatisfiable 3.74s 3.97s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of clauses : 42 ( 36 unt; 0 nHn; 23 RR)
% Number of literals : 50 ( 19 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__mult__1_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X,tc_RealDef_Oreal) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__1_0) ).
cnf(cls_Suc__eq__plus1_0,axiom,
c_Suc(X) = c_HOL_Oplus__class_Oplus(X,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).
cnf(cls_real__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(Y,X,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
cnf(cls_real__mult__assoc_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal),Z,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X,c_HOL_Otimes__class_Otimes(Y,Z,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__assoc_0) ).
cnf(cls_order__le__less__trans_0,axiom,
( ~ class_Orderings_Opreorder(X)
| c_HOL_Oord__class_Oless(Y,Z,X)
| ~ c_HOL_Oord__class_Oless(U,Z,X)
| ~ c_lessequals(Y,U,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).
cnf(cls_th30_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_th30_0) ).
cnf(533,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_Suc(v_k____),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_th30_0,cls_real__mult__assoc_0,cls_Suc__eq__plus1_0,theory(equality)]) ).
cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(Y,Z,X),Y,X) = c_Power_Opower__class_Opower(Y,c_Suc(Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I28_J_0) ).
cnf(cls_poly__monom_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_Polynomial_Opoly(c_Polynomial_Omonom(Y,Z,X),U,X) = c_HOL_Otimes__class_Otimes(Y,c_Power_Opower__class_Opower(U,Z,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__monom_0) ).
cnf(cls_complex__of__real__power_0,axiom,
c_Power_Opower__class_Opower(c_RealVector_Oof__real(X,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_Power_Opower__class_Opower(X,Y,tc_RealDef_Oreal),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__of__real__power_0) ).
cnf(cls_norm__power_0,axiom,
( ~ class_RealVector_Oreal__normed__div__algebra(X)
| c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(Y,Z,X),X) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(Y,X),Z,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__power_0) ).
cnf(cls_class__semiring_Omul__a_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_HOL_Otimes__class_Otimes(Y,c_HOL_Otimes__class_Otimes(Z,U,X),X) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(Y,Z,X),U,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__a_0) ).
cnf(cls_power__mult__distrib_0,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__mult(X)
| c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(Y,Z,X),U,X) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(Y,U,X),c_Power_Opower__class_Opower(Z,U,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__mult__distrib_0) ).
cnf(cls_CHAINED_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(616,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_Suc(v_k____),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_CHAINED_0,cls_real__mult__assoc_0,cls_Suc__eq__plus1_0,theory(equality)]) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) ).
cnf(918,plain,
c_HOL_Otimes__class_Otimes(X,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = X,
inference('PARAMODULATE',[status(thm)],[cls_real__mult__1_0,cls_real__mult__commute_0,theory(equality)]) ).
cnf(919,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_Suc(v_k____),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[533,918,theory(equality)]) ).
cnf(1239,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal),Z,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(Y,c_HOL_Otimes__class_Otimes(X,Z,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('PARAMODULATE',[status(thm)],[cls_real__mult__assoc_0,cls_real__mult__commute_0,theory(equality)]) ).
cnf(1240,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal),Z,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X,c_HOL_Otimes__class_Otimes(Z,Y,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('PARAMODULATE',[status(thm)],[cls_real__mult__assoc_0,cls_real__mult__commute_0,theory(equality)]) ).
cnf(1241,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_m____,v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_Suc(v_k____),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[616,1240,theory(equality)]) ).
cnf(1242,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_m____,v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_Suc(v_k____),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[919,1240,theory(equality)]) ).
cnf(1245,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,c_HOL_Otimes__class_Otimes(Y,Z,tc_RealDef_Oreal),tc_RealDef_Oreal),U,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X,c_HOL_Otimes__class_Otimes(Y,c_HOL_Otimes__class_Otimes(Z,U,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('PARAMODULATE',[status(thm)],[cls_real__mult__assoc_0,cls_real__mult__assoc_0,theory(equality)]) ).
cnf(1391,plain,
c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X,Y,tc_RealDef_Oreal),X,tc_RealDef_Oreal) = c_Power_Opower__class_Opower(X,c_Suc(Y),tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Osemiring__rules_I28_J_0,clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(1396,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_m____,v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1241,1239,1245,1240,1391,theory(equality)]) ).
cnf(1397,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_m____,v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1242,1239,1245,1240,1391,theory(equality)]) ).
cnf(1398,plain,
c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),Y,tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_norm__power_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]) ).
cnf(1401,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_m____,v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1396,1398,theory(equality)]) ).
cnf(1402,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_m____,v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1397,1398,theory(equality)]) ).
cnf(1618,plain,
c_Polynomial_Opoly(c_Polynomial_Omonom(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X,c_Power_Opower__class_Opower(Z,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_poly__monom_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(1621,plain,
c_HOL_Otimes__class_Otimes(X,c_HOL_Otimes__class_Otimes(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Omul__a_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(1622,plain,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[cls_conjecture_0,1621,theory(equality)]) ).
cnf(1624,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_m____,v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1401,1621,theory(equality)]) ).
cnf(1899,plain,
c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X,Z,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_power__mult__distrib_0,clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult]) ).
cnf(1900,plain,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Omonom(c_RealVector_Oof__real(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1622,1618,cls_complex__of__real__power_0,1899,theory(equality)]) ).
cnf(1901,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Omonom(c_RealVector_Oof__real(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_m____,v_t____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,v_k____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('REWRITE',[status(thm)],[1624,1618,cls_complex__of__real__power_0,1899,theory(equality)]) ).
cnf(3281,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_order__le__less__trans_0,1900,clsarity_RealDef__Oreal__Orderings_Opreorder,1402]),1901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG409-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 8 08:57:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.44 #<PACKAGE "SNARK-USER">
% 0.17/0.44 *
% 0.17/0.44 SNARK-TPTP-OPTIONS
% 0.17/0.44 *
% 0.17/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.44 (USE-FACTORING :POS)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T08:57:23
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-08T08:57:23
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 3.74/3.97
% 3.74/3.97
% 3.74/3.97 #||
% 3.74/3.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.74/3.97 % SZS output start Refutation
% See solution above
% 3.74/3.98 ||#
% 3.74/3.98
% 3.74/3.98 ; Summary of computation:
% 3.74/3.98 ; 13134 formulas have been input or derived (from 802 formulas).
% 3.74/3.98 ; 3281 (25%) were retained. Of these,
% 3.74/3.98 ; 218 ( 7%) were simplified or subsumed later,
% 3.74/3.98 ; 3063 (93%) are still being kept.
% 3.74/3.98 ;
% 3.74/3.98 ; Run time in seconds excluding printing time:
% 3.74/3.98 ; 0.161 5% Read assertion file (1 call)
% 3.74/3.98 ; 0.015 0% Assert (893 calls)
% 3.74/3.98 ; 0.295 8% Process new row (11,646 calls)
% 3.74/3.98 ; 0.435 12% Resolution (1,602 calls)
% 3.74/3.98 ; 0.045 1% Paramodulation (801 calls)
% 3.74/3.98 ; 0.000 0% Factoring (6 calls)
% 3.74/3.98 ; 0.068 2% Condensing (5,964 calls)
% 3.74/3.98 ; 0.858 24% Forward subsumption (5,964 calls)
% 3.74/3.98 ; 0.112 3% Backward subsumption (2,057 calls)
% 3.74/3.98 ; 0.075 2% Clause clause subsumption (18,330 calls)
% 3.74/3.98 ; 0.819 23% Forward simplification (11,642 calls)
% 3.74/3.98 ; 0.039 1% Backward simplification (3,277 calls)
% 3.74/3.98 ; 0.540 15% Ordering (100,185 calls)
% 3.74/3.98 ; 0.000 0% Sortal reasoning (32 calls)
% 3.74/3.98 ; 0.002 0% Purity testing (1 call)
% 3.74/3.98 ; 0.063 2% Other
% 3.74/3.98 ; 3.527 Total
% 3.74/3.98 ; 3.532 Real time
% 3.74/3.98 ;
% 3.74/3.98 ; Term-hash-array has 6,653 terms in all.
% 3.74/3.98 ; Feature-vector-row-index has 2,002 entries (2,002 at peak, 2,057 added, 55 deleted).
% 3.74/3.98 ; Feature-vector-row-index has 11,286 nodes (11,286 at peak, 11,627 added, 341 deleted).
% 3.74/3.98 ; Retrieved 50,352 possibly forward subsuming rows in 5,964 calls.
% 3.74/3.98 ; Retrieved 2,449 possibly backward subsumed rows in 2,057 calls.
% 3.74/3.98 ; Path-index has 6,171 entries (6,171 at peak, 6,803 added, 632 deleted).
% 3.74/3.98 ; Path-index has 18,786 nodes (18,786 at peak, 21,025 added, 2,239 deleted).
% 3.74/3.98 ; Trie-index has 6,171 entries (6,171 at peak, 6,803 added, 632 deleted).
% 3.74/3.98 ; Trie-index has 35,250 nodes (35,250 at peak, 41,261 added, 6,011 deleted).
% 3.74/3.98 ; Retrieved 100,039 generalization terms in 116,242 calls.
% 3.74/3.98 ; Retrieved 2,113 instance terms in 1,359 calls.
% 3.74/3.98 ; Retrieved 644,583 unifiable terms in 10,721 calls.
% 3.74/3.98 ;
% 3.74/3.98 ; The agenda of rows to process has 13 entries:
% 3.74/3.98 ; 1 with value 68 2 with value 72 1 with value 78
% 3.74/3.98 ; 1 with value 69 4 with value 76 2 with value 84
% 3.74/3.98 ; 2 with value 70
% 3.74/3.98 ; The agenda of input rows to give has 4 entries:
% 3.74/3.98 ; 2 with value 47 1 with value 65 1 with value 114
% 3.74/3.98 ; The agenda of rows to give has 2264 entries:
% 3.74/3.98 ; 101 with value (4 6) 42 with value (4 39) 4 with value (4 73)
% 3.74/3.98 ; 14 with value (4 8) 53 with value (4 40) 3 with value (4 75)
% 3.74/3.98 ; 12 with value (4 9) 32 with value (4 41) 2 with value (4 76)
% 3.74/3.98 ; 18 with value (4 10) 16 with value (4 42) 1 with value (4 77)
% 3.74/3.98 ; 53 with value (4 11) 23 with value (4 43) 1 with value (4 78)
% 3.74/3.98 ; 24 with value (4 12) 31 with value (4 44) 5 with value (4 79)
% 3.74/3.98 ; 51 with value (4 13) 21 with value (4 45) 4 with value (4 80)
% 3.74/3.98 ; 26 with value (4 14) 44 with value (4 46) 1 with value (4 81)
% 3.74/3.98 ; 41 with value (4 15) 49 with value (4 47) 3 with value (4 82)
% 3.74/3.98 ; 38 with value (4 16) 17 with value (4 48) 7 with value (4 83)
% 3.74/3.98 ; 55 with value (4 17) 20 with value (4 49) 2 with value (4 84)
% 3.74/3.98 ; 40 with value (4 18) 16 with value (4 50) 1 with value (4 87)
% 3.74/3.98 ; 69 with value (4 19) 14 with value (4 51) 1 with value (4 88)
% 3.74/3.98 ; 32 with value (4 20) 20 with value (4 52) 3 with value (4 89)
% 3.74/3.98 ; 41 with value (4 21) 15 with value (4 53) 2 with value (4 90)
% 3.74/3.98 ; 52 with value (4 22) 24 with value (4 54) 3 with value (4 91)
% 3.74/3.98 ; 69 with value (4 23) 21 with value (4 55) 2 with value (4 92)
% 3.74/3.98 ; 51 with value (4 24) 12 with value (4 56) 1 with value (4 93)
% 3.74/3.98 ; 78 with value (4 25) 11 with value (4 57) 1 with value (4 95)
% 3.74/3.98 ; 77 with value (4 26) 11 with value (4 58) 4 with value (4 96)
% 3.74/3.98 ; 38 with value (4 27) 13 with value (4 59) 1 with value (4 99)
% 3.74/3.98 ; 43 with value (4 28) 16 with value (4 60) 1 with value (4 100)
% 3.74/3.98 ; 43 with value (4 29) 14 with value (4 61) 1 with value (4 101)
% 3.74/3.98 ; 49 with value (4 30) 6 with value (4 62) 4 with value (4 103)
% 3.74/3.98 ; 51 with value (4 31) 4 with value (4 63) 1 with value (4 107)
% 3.74/3.98 ; 68 with value (4 32) 3 with value (4 65) 2 with value (4 109)
% 3.74/3.98 ; 72 with value (4 33) 4 with value (4 66) 1 with value (4 111)
% 3.74/3.98 ; 81 with value (4 34) 6 with value (4 67) 2 with value (4 113)
% 3.74/3.98 ; 103 with value (4 35) 4 with value (4 68) 3 with value (4 120)
% 3.74/3.98 ; 51 with value (4 36) 2 with value (4 70) 1 with value (4 122)
% 3.74/3.98 ; 39 with value (4 37) 9 with value (4 71) 2 with value (4 133)
% 3.74/3.98 ; 29 with value (4 38) 8 with value (4 72) 4 with value (4 137)
% 3.74/3.98 Evaluation took:
% 3.74/3.98 3.533 seconds of real time
% 3.74/3.98 3.278413 seconds of user run time
% 3.74/3.98 0.25492 seconds of system run time
% 3.74/3.98 [Run times include 0.305 seconds GC run time.]
% 3.74/3.98 0 calls to %EVAL
% 3.74/3.98 0 page faults and
% 3.74/3.98 296,039,296 bytes consed.
% 3.74/3.98 :PROOF-FOUND
% 3.74/3.98 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T08:57:27
% 3.74/3.98 :PROOF-FOUND
% 3.74/3.98 *
%------------------------------------------------------------------------------