TSTP Solution File: SWW266+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW266+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:24:47 EDT 2022
% Result : Theorem 144.44s 144.69s
% Output : Refutation 144.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of clauses : 32 ( 29 unt; 0 nHn; 23 RR)
% Number of literals : 37 ( 16 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
( ~ class_RealVector_Oreal__normed__div__algebra(X)
| c_RealVector_Onorm__class_Onorm(X,hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),Z)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X,Y)),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__power) ).
cnf(76,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096cmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_At_A_094_Ak_A_K_A_It_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_J_096) ).
cnf(77,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_th30) ).
cnf(129,axiom,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X),Y)),Z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),Y),Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__assoc) ).
cnf(130,axiom,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X),Y) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),Y),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).
cnf(149,axiom,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__1) ).
cnf(278,axiom,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,Y),Z) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__assoc) ).
cnf(373,axiom,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_q_I1_J) ).
cnf(377,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pqc0) ).
cnf(378,axiom,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____),v_k____),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_kas_I3_J) ).
cnf(379,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),
inference('REWRITE',[status(thm)],[378,377,278,theory(equality)]) ).
cnf(419,axiom,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lgqr) ).
cnf(420,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
inference('REWRITE',[status(thm)],[419,379,377,373,theory(equality)]) ).
cnf(465,axiom,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,Y),X) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__inverse) ).
cnf(835,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Y),Z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
cnf(1002,axiom,
( ~ class_Orderings_Opreorder(X)
| ~ c_Orderings_Oord__class_Oless__eq(X,Y,Z)
| ~ c_Orderings_Oord__class_Oless(X,Z,U)
| c_Orderings_Oord__class_Oless(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__less__trans) ).
cnf(1337,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(1362,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
cnf(1379,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
cnf(1462,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(1476,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_t____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference('REWRITE',[status(thm)],[76,130,129,theory(equality)]) ).
cnf(1477,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_t____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
inference('REWRITE',[status(thm)],[77,149,130,129,theory(equality)]) ).
cnf(3235,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference('PARAMODULATE',[status(thm)],[465,420,theory(equality)]) ).
cnf(3245,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_t____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____))))),
inference('REWRITE',[status(thm)],[1476,3235,theory(equality)]) ).
cnf(3246,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_t____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
inference('REWRITE',[status(thm)],[1477,3235,theory(equality)]) ).
cnf(4447,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X),Y) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),Y),X),
inference('HYPERRESOLVE',[status(thm)],[835,1379]) ).
cnf(4452,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_w____),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_w____),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_w____),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),v_k____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
inference('REWRITE',[status(thm)],[1462,4447,theory(equality)]) ).
cnf(4457,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_w____),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_w____),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_w____),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),v_k____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_t____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____))))),
inference('REWRITE',[status(thm)],[3245,4447,theory(equality)]) ).
cnf(6550,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X),Y)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X)),Y),
inference('HYPERRESOLVE',[status(thm)],[10,1362]) ).
cnf(6555,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_t____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
inference('REWRITE',[status(thm)],[3246,6550,theory(equality)]) ).
cnf(6557,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_w____),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_w____),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_w____),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),v_k____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_t____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____)))))),
inference('REWRITE',[status(thm)],[4457,6550,theory(equality)]) ).
cnf(22004,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1002,4452,1337,6555]),6557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW266+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 01:33:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T01:33:35
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-05T01:33:35
% 0.49/0.72
% 0.49/0.72 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.56/0.73 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.56/0.75 WARNING:
% 0.56/0.75 |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.75 WARNING:
% 0.56/0.75 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 144.44/144.69 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 144.44/144.69
% 144.44/144.69 #||
% 144.44/144.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.44/144.69 % SZS output start Refutation
% See solution above
% 144.51/144.74 ||#
% 144.51/144.74
% 144.51/144.74 ; Summary of computation:
% 144.51/144.74 ; 494755 formulas have been input or derived (from 1490 formulas).
% 144.51/144.74 ; 22004 ( 4%) were retained. Of these,
% 144.51/144.74 ; 3798 (17%) were simplified or subsumed later,
% 144.51/144.74 ; 18206 (83%) are still being kept.
% 144.51/144.74 ;
% 144.51/144.74 ; Run time in seconds excluding printing time:
% 144.51/144.74 ; 0.239 0% Read assertion file (1 call)
% 144.51/144.74 ; 0.028 0% Assert (1,288 calls)
% 144.51/144.74 ; 4.647 3% Process new row (463,220 calls)
% 144.51/144.74 ; 60.878 42% Resolution (2,978 calls)
% 144.51/144.74 ; 0.223 0% Paramodulation (1,489 calls)
% 144.51/144.74 ; 0.001 0% Factoring (24 calls)
% 144.51/144.74 ; 0.819 1% Condensing (49,888 calls)
% 144.51/144.74 ; 29.185 20% Forward subsumption (49,888 calls)
% 144.51/144.74 ; 1.064 1% Backward subsumption (10,276 calls)
% 144.51/144.74 ; 1.760 1% Clause clause subsumption (175,946 calls)
% 144.51/144.74 ; 30.200 21% Forward simplification (429,899 calls)
% 144.51/144.74 ; 0.992 1% Backward simplification (21,979 calls)
% 144.51/144.74 ; 12.789 9% Ordering (2,247,999 calls)
% 144.51/144.74 ; 0.000 0% Sortal reasoning (32 calls)
% 144.51/144.74 ; 0.003 0% Purity testing (1 call)
% 144.51/144.74 ; 1.385 1% Other
% 144.51/144.74 ; 144.213 Total
% 144.51/144.74 ; 144.276 Real time
% 144.51/144.74 ;
% 144.51/144.75 ; Term-hash-array has 52,217 terms in all.
% 144.51/144.75 ; Feature-vector-row-index has 8,781 entries (8,781 at peak, 10,276 added, 1,495 deleted).
% 144.51/144.75 ; Feature-vector-row-index has 99,110 nodes (99,110 at peak, 114,991 added, 15,881 deleted).
% 144.51/144.75 ; Retrieved 501,273 possibly forward subsuming rows in 49,888 calls.
% 144.51/144.75 ; Retrieved 12,024 possibly backward subsumed rows in 10,276 calls.
% 144.51/144.75 ; Path-index has 45,176 entries (45,176 at peak, 54,212 added, 9,036 deleted).
% 144.51/144.75 ; Path-index has 95,267 nodes (95,267 at peak, 106,082 added, 10,815 deleted).
% 144.51/144.75 ; Trie-index has 45,176 entries (45,176 at peak, 54,212 added, 9,036 deleted).
% 144.51/144.75 ; Trie-index has 394,457 nodes (394,457 at peak, 487,241 added, 92,784 deleted).
% 144.51/144.75 ; Retrieved 4,457,048 generalization terms in 5,647,434 calls.
% 144.51/144.75 ; Retrieved 32,442 instance terms in 17,130 calls.
% 144.51/144.75 ; Retrieved 92,082,393 unifiable terms in 279,485 calls.
% 144.51/144.75 ;
% 144.51/144.75 ; The agenda of rows to process has 11 entries:
% 144.51/144.75 ; 4 with value 90 1 with value 93 1 with value 114
% 144.51/144.75 ; 1 with value 91 1 with value 106 1 with value 115
% 144.51/144.75 ; 2 with value 92
% 144.51/144.75 ; The agenda of input rows to give has 22 entries:
% 144.51/144.75 ; 1 with value 63 2 with value 77 1 with value 120
% 144.51/144.75 ; 4 with value 70 1 with value 89 1 with value 125
% 144.51/144.75 ; 2 with value 73 1 with value 102 1 with value 131
% 144.51/144.75 ; 8 with value 75
% 144.51/144.75 ; The agenda of rows to give has 16810 entries:
% 144.51/144.75 ; 3 with value (4 4) 137 with value (4 54) 20 with value (4 103)
% 144.51/144.75 ; 179 with value (4 6) 233 with value (4 55) 28 with value (4 104)
% 144.51/144.75 ; 29 with value (4 7) 208 with value (4 56) 15 with value (4 105)
% 144.51/144.75 ; 48 with value (4 8) 425 with value (4 57) 9 with value (4 106)
% 144.51/144.75 ; 68 with value (4 9) 208 with value (4 58) 5 with value (4 107)
% 144.51/144.75 ; 52 with value (4 10) 159 with value (4 59) 6 with value (4 108)
% 144.51/144.75 ; 62 with value (4 11) 269 with value (4 60) 8 with value (4 109)
% 144.51/144.75 ; 149 with value (4 12) 212 with value (4 61) 7 with value (4 110)
% 144.51/144.75 ; 112 with value (4 13) 242 with value (4 62) 6 with value (4 111)
% 144.51/144.75 ; 192 with value (4 14) 171 with value (4 63) 23 with value (4 112)
% 144.51/144.75 ; 174 with value (4 15) 193 with value (4 64) 5 with value (4 113)
% 144.51/144.75 ; 95 with value (4 16) 156 with value (4 65) 12 with value (4 114)
% 144.51/144.75 ; 154 with value (4 17) 188 with value (4 66) 3 with value (4 115)
% 144.51/144.75 ; 145 with value (4 18) 327 with value (4 67) 16 with value (4 116)
% 144.51/144.75 ; 205 with value (4 19) 244 with value (4 68) 12 with value (4 117)
% 144.51/144.75 ; 194 with value (4 20) 90 with value (4 69) 17 with value (4 118)
% 144.51/144.75 ; 192 with value (4 21) 106 with value (4 70) 4 with value (4 119)
% 144.51/144.75 ; 213 with value (4 22) 86 with value (4 71) 1 with value (4 120)
% 144.51/144.75 ; 243 with value (4 23) 134 with value (4 72) 10 with value (4 121)
% 144.51/144.75 ; 199 with value (4 24) 76 with value (4 73) 3 with value (4 122)
% 144.51/144.75 ; 208 with value (4 25) 93 with value (4 74) 2 with value (4 123)
% 144.51/144.75 ; 195 with value (4 26) 176 with value (4 75) 3 with value (4 124)
% 144.51/144.75 ; 218 with value (4 27) 56 with value (4 76) 1 with value (4 125)
% 144.51/144.75 ; 244 with value (4 28) 103 with value (4 77) 2 with value (4 126)
% 144.51/144.75 ; 285 with value (4 29) 86 with value (4 78) 4 with value (4 127)
% 144.51/144.75 ; 327 with value (4 30) 38 with value (4 79) 7 with value (4 128)
% 144.51/144.75 ; 292 with value (4 31) 54 with value (4 80) 5 with value (4 129)
% 144.51/144.75 ; 236 with value (4 32) 36 with value (4 81) 9 with value (4 130)
% 144.51/144.75 ; 221 with value (4 33) 96 with value (4 82) 2 with value (4 131)
% 144.51/144.75 ; 302 with value (4 34) 60 with value (4 83) 8 with value (4 132)
% 144.51/144.75 ; 378 with value (4 35) 75 with value (4 84) 1 with value (4 133)
% 144.51/144.75 ; 257 with value (4 36) 74 with value (4 85) 1 with value (4 134)
% 144.51/144.75 ; 250 with value (4 37) 39 with value (4 86) 4 with value (4 135)
% 144.51/144.75 ; 187 with value (4 38) 47 with value (4 87) 1 with value (4 138)
% 144.51/144.75 ; 308 with value (4 39) 33 with value (4 88) 5 with value (4 139)
% 144.51/144.75 ; 366 with value (4 40) 28 with value (4 89) 2 with value (4 142)
% 144.51/144.75 ; 415 with value (4 41) 32 with value (4 90) 3 with value (4 143)
% 144.51/144.75 ; 387 with value (4 42) 61 with value (4 91) 8 with value (4 146)
% 144.51/144.75 ; 242 with value (4 43) 43 with value (4 92) 2 with value (4 147)
% 144.51/144.75 ; 264 with value (4 44) 27 with value (4 93) 2 with value (4 149)
% 144.51/144.75 ; 298 with value (4 45) 40 with value (4 94) 1 with value (4 150)
% 144.51/144.75 ; 427 with value (4 46) 28 with value (4 95) 2 with value (4 151)
% 144.51/144.75 ; 412 with value (4 47) 22 with value (4 96) 4 with value (4 154)
% 144.51/144.75 ; 202 with value (4 48) 32 with value (4 97) 2 with value (4 156)
% 144.51/144.75 ; 240 with value (4 49) 28 with value (4 98) 9 with value (4 160)
% 144.51/144.75 ; 234 with value (4 50) 14 with value (4 99) 3 with value (4 163)
% 144.51/144.75 ; 356 with value (4 51) 13 with value (4 100) 1 with value (4 167)
% 144.51/144.75 ; 366 with value (4 52) 12 with value (4 101) 4 with value (4 202)
% 144.51/144.75 ; 345 with value (4 53) 22 with value (4 102)
% 144.51/144.75 Evaluation took:
% 144.51/144.75 144.288 seconds of real time
% 144.51/144.75 138.30237 seconds of user run time
% 144.51/144.75 5.969524 seconds of system run time
% 144.51/144.75 [Run times include 25.699 seconds GC run time.]
% 144.51/144.75 0 calls to %EVAL
% 144.51/144.75 0 page faults and
% 144.51/144.75 9,173,567,104 bytes consed.
% 144.51/144.75 :PROOF-FOUND
% 144.51/144.75 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T01:35:59
% 144.51/144.75 :PROOF-FOUND
% 144.51/144.75 *
%------------------------------------------------------------------------------