TSTP Solution File: SWW267+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW267+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 01:24:48 EDT 2022
% Result : Theorem 159.73s 159.91s
% Output : Refutation 159.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 21 unt; 0 nHn; 19 RR)
% Number of literals : 29 ( 6 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(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____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),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____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(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_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____)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096) ).
cnf(31,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,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_Groups_Oone__class_Oone(tc_RealDef_Oreal),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_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____))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_th12) ).
cnf(33,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(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____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),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____))))))),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_Groups_Oone__class_Oone(tc_RealDef_Oreal),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_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____)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_th11) ).
cnf(34,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(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_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____))))),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_Groups_Oone__class_Oone(tc_RealDef_Oreal),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_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____)))))),
inference('REWRITE',[status(thm)],[33,15,theory(equality)]) ).
cnf(740,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/sandbox2/benchmark/theBenchmark.p',fact_diff__minus__eq__add) ).
cnf(846,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/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
cnf(1000,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_Orderings_Oord__class_Oless(X,Y,Z)
| ~ c_Orderings_Oord__class_Oless__eq(X,U,Y)
| c_Orderings_Oord__class_Oless(X,U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I7_J) ).
cnf(1346,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
cnf(1349,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
cnf(1382,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
cnf(1392,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).
cnf(1465,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(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____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),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____))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(1466,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(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_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____))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference('REWRITE',[status(thm)],[1465,15,theory(equality)]) ).
cnf(2610,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,Y)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X,Y),
inference('HYPERRESOLVE',[status(thm)],[740,1392]) ).
cnf(2630,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_Groups_Ouminus__class_Ouminus(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____)))))),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_Groups_Oone__class_Oone(tc_RealDef_Oreal),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_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____)))))),
inference('REWRITE',[status(thm)],[34,2610,theory(equality)]) ).
cnf(2631,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_Groups_Ouminus__class_Ouminus(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____)))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference('REWRITE',[status(thm)],[1466,2610,theory(equality)]) ).
cnf(2634,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)],[740,1346]) ).
cnf(2712,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_Groups_Ouminus__class_Ouminus(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____)))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference('REWRITE',[status(thm)],[31,2634,theory(equality)]) ).
cnf(2713,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_Groups_Ouminus__class_Ouminus(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____)))))),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_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_Groups_Ouminus__class_Ouminus(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____))))))),
inference('REWRITE',[status(thm)],[2630,2634,theory(equality)]) ).
cnf(4462,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)],[846,1382]) ).
cnf(4468,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_Groups_Ouminus__class_Ouminus(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____)))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference('REWRITE',[status(thm)],[2631,4462,theory(equality)]) ).
cnf(4471,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_Groups_Ouminus__class_Ouminus(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____)))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference('REWRITE',[status(thm)],[2712,4462,theory(equality)]) ).
cnf(4472,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_Groups_Ouminus__class_Ouminus(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____)))))),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_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_Groups_Ouminus__class_Ouminus(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____))))))),
inference('REWRITE',[status(thm)],[2713,4462,theory(equality)]) ).
cnf(23498,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1000,4471,1349,4468]),4472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW267+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 02:48:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T02:48:33
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-05T02:48:33
% 0.50/0.72
% 0.50/0.72 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.50/0.74 ; 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.
% 159.73/159.91 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 159.73/159.91
% 159.73/159.91 #||
% 159.73/159.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 159.73/159.91 % SZS output start Refutation
% See solution above
% 159.73/159.92 ||#
% 159.73/159.92
% 159.73/159.92 ; Summary of computation:
% 159.73/159.92 ; 510440 formulas have been input or derived (from 1497 formulas).
% 159.73/159.92 ; 23498 ( 5%) were retained. Of these,
% 159.73/159.92 ; 3845 (16%) were simplified or subsumed later,
% 159.73/159.92 ; 19653 (84%) are still being kept.
% 159.73/159.92 ;
% 159.73/159.92 ; Run time in seconds excluding printing time:
% 159.73/159.92 ; 0.239 0% Read assertion file (1 call)
% 159.73/159.92 ; 0.028 0% Assert (1,288 calls)
% 159.73/159.92 ; 6.118 4% Process new row (477,616 calls)
% 159.73/159.92 ; 66.501 42% Resolution (2,992 calls)
% 159.73/159.92 ; 0.273 0% Paramodulation (1,496 calls)
% 159.73/159.92 ; 0.000 0% Factoring (24 calls)
% 159.73/159.92 ; 0.774 0% Condensing (50,801 calls)
% 159.73/159.92 ; 28.816 18% Forward subsumption (50,801 calls)
% 159.73/159.92 ; 1.303 1% Backward subsumption (10,616 calls)
% 159.73/159.92 ; 1.290 1% Clause clause subsumption (178,797 calls)
% 159.73/159.92 ; 34.854 22% Forward simplification (444,242 calls)
% 159.73/159.92 ; 1.413 1% Backward simplification (23,475 calls)
% 159.73/159.92 ; 16.299 10% Ordering (2,563,431 calls)
% 159.73/159.92 ; 0.000 0% Sortal reasoning (32 calls)
% 159.73/159.92 ; 0.003 0% Purity testing (1 call)
% 159.73/159.92 ; 1.540 1% Other
% 159.73/159.92 ; 159.451 Total
% 159.73/159.92 ; 159.454 Real time
% 159.73/159.92 ;
% 159.73/159.93 ; Term-hash-array has 56,952 terms in all.
% 159.73/159.93 ; Feature-vector-row-index has 9,114 entries (9,114 at peak, 10,616 added, 1,502 deleted).
% 159.73/159.93 ; Feature-vector-row-index has 97,473 nodes (97,473 at peak, 112,818 added, 15,345 deleted).
% 159.73/159.93 ; Retrieved 594,285 possibly forward subsuming rows in 50,801 calls.
% 159.73/159.93 ; Retrieved 15,194 possibly backward subsumed rows in 10,616 calls.
% 159.73/159.93 ; Path-index has 49,767 entries (49,767 at peak, 58,937 added, 9,170 deleted).
% 159.73/159.93 ; Path-index has 111,923 nodes (111,923 at peak, 122,827 added, 10,904 deleted).
% 159.73/159.93 ; Trie-index has 49,767 entries (49,767 at peak, 58,937 added, 9,170 deleted).
% 159.73/159.93 ; Trie-index has 514,212 nodes (514,212 at peak, 608,804 added, 94,592 deleted).
% 159.73/159.93 ; Retrieved 4,964,279 generalization terms in 6,022,445 calls.
% 159.73/159.93 ; Retrieved 34,807 instance terms in 18,849 calls.
% 159.73/159.93 ; Retrieved 98,736,230 unifiable terms in 291,480 calls.
% 159.73/159.93 ;
% 159.73/159.93 ; The agenda of rows to process has 198 entries:
% 159.73/159.93 ; 3 with value 132 6 with value 174 1 with value 202
% 159.73/159.93 ; 1 with value 140 4 with value 175 1 with value 203
% 159.73/159.93 ; 1 with value 141 11 with value 176 1 with value 205
% 159.73/159.93 ; 5 with value 160 9 with value 177 1 with value 206
% 159.73/159.93 ; 20 with value 161 4 with value 178 2 with value 213
% 159.73/159.93 ; 5 with value 162 5 with value 179 2 with value 214
% 159.73/159.93 ; 6 with value 163 7 with value 180 1 with value 218
% 159.73/159.93 ; 10 with value 164 4 with value 181 1 with value 219
% 159.73/159.93 ; 10 with value 165 1 with value 182 2 with value 220
% 159.73/159.93 ; 20 with value 166 3 with value 183 1 with value 221
% 159.73/159.93 ; 1 with value 167 6 with value 184 1 with value 222
% 159.73/159.93 ; 2 with value 168 9 with value 185 1 with value 223
% 159.73/159.93 ; 4 with value 169 2 with value 188 1 with value 246
% 159.73/159.93 ; 1 with value 170 4 with value 189 1 with value 247
% 159.73/159.93 ; 1 with value 171 2 with value 190 1 with value 263
% 159.73/159.93 ; 4 with value 172 4 with value 197 1 with value 264
% 159.73/159.93 ; 4 with value 173
% 159.73/159.93 ; The agenda of input rows to give has 15 entries:
% 159.73/159.93 ; 8 with value 75 1 with value 102 1 with value 125
% 159.73/159.93 ; 2 with value 77 1 with value 120 1 with value 131
% 159.73/159.93 ; 1 with value 89
% 159.73/159.93 ; The agenda of rows to give has 18257 entries:
% 159.73/159.93 ; 3 with value (4 4) 246 with value (4 62) 10 with value (4 119)
% 159.73/159.93 ; 179 with value (4 6) 173 with value (4 63) 2 with value (4 120)
% 159.73/159.93 ; 29 with value (4 7) 203 with value (4 64) 22 with value (4 121)
% 159.73/159.93 ; 48 with value (4 8) 177 with value (4 65) 14 with value (4 122)
% 159.73/159.93 ; 68 with value (4 9) 195 with value (4 66) 4 with value (4 123)
% 159.73/159.93 ; 52 with value (4 10) 333 with value (4 67) 23 with value (4 124)
% 159.73/159.93 ; 62 with value (4 11) 249 with value (4 68) 5 with value (4 125)
% 159.73/159.93 ; 149 with value (4 12) 114 with value (4 69) 22 with value (4 126)
% 159.73/159.93 ; 112 with value (4 13) 115 with value (4 70) 3 with value (4 127)
% 159.73/159.93 ; 186 with value (4 14) 105 with value (4 71) 18 with value (4 128)
% 159.73/159.93 ; 176 with value (4 15) 138 with value (4 72) 7 with value (4 129)
% 159.73/159.93 ; 95 with value (4 16) 85 with value (4 73) 9 with value (4 130)
% 159.73/159.93 ; 156 with value (4 17) 127 with value (4 74) 8 with value (4 131)
% 159.73/159.93 ; 145 with value (4 18) 201 with value (4 75) 13 with value (4 132)
% 159.73/159.93 ; 205 with value (4 19) 108 with value (4 76) 15 with value (4 133)
% 159.73/159.93 ; 215 with value (4 20) 127 with value (4 77) 3 with value (4 134)
% 159.73/159.93 ; 200 with value (4 21) 109 with value (4 78) 9 with value (4 135)
% 159.73/159.93 ; 218 with value (4 22) 55 with value (4 79) 9 with value (4 136)
% 159.73/159.93 ; 249 with value (4 23) 110 with value (4 80) 2 with value (4 138)
% 159.73/159.93 ; 200 with value (4 24) 94 with value (4 81) 8 with value (4 139)
% 159.73/159.93 ; 214 with value (4 25) 109 with value (4 82) 6 with value (4 142)
% 159.73/159.93 ; 197 with value (4 26) 74 with value (4 83) 3 with value (4 143)
% 159.73/159.93 ; 232 with value (4 27) 90 with value (4 84) 1 with value (4 144)
% 159.73/159.93 ; 252 with value (4 28) 102 with value (4 85) 9 with value (4 145)
% 159.73/159.93 ; 293 with value (4 29) 67 with value (4 86) 8 with value (4 146)
% 159.73/159.93 ; 333 with value (4 30) 75 with value (4 87) 10 with value (4 147)
% 159.73/159.93 ; 298 with value (4 31) 44 with value (4 88) 7 with value (4 148)
% 159.73/159.93 ; 241 with value (4 32) 42 with value (4 89) 5 with value (4 149)
% 159.73/159.93 ; 224 with value (4 33) 55 with value (4 90) 2 with value (4 150)
% 159.73/159.93 ; 307 with value (4 34) 141 with value (4 91) 6 with value (4 151)
% 159.73/159.93 ; 380 with value (4 35) 47 with value (4 92) 2 with value (4 152)
% 159.73/159.93 ; 263 with value (4 36) 44 with value (4 93) 5 with value (4 153)
% 159.73/159.93 ; 259 with value (4 37) 60 with value (4 94) 4 with value (4 154)
% 159.73/159.93 ; 187 with value (4 38) 41 with value (4 95) 1 with value (4 156)
% 159.73/159.93 ; 317 with value (4 39) 45 with value (4 96) 2 with value (4 157)
% 159.73/159.93 ; 373 with value (4 40) 39 with value (4 97) 2 with value (4 159)
% 159.73/159.93 ; 420 with value (4 41) 35 with value (4 98) 14 with value (4 160)
% 159.73/159.93 ; 387 with value (4 42) 16 with value (4 99) 2 with value (4 161)
% 159.73/159.93 ; 244 with value (4 43) 32 with value (4 100) 2 with value (4 162)
% 159.73/159.93 ; 265 with value (4 44) 56 with value (4 101) 3 with value (4 163)
% 159.73/159.93 ; 303 with value (4 45) 32 with value (4 102) 16 with value (4 166)
% 159.73/159.93 ; 428 with value (4 46) 42 with value (4 103) 1 with value (4 167)
% 159.73/159.93 ; 412 with value (4 47) 54 with value (4 104) 4 with value (4 168)
% 159.73/159.93 ; 206 with value (4 48) 21 with value (4 105) 3 with value (4 174)
% 159.73/159.93 ; 240 with value (4 49) 18 with value (4 106) 5 with value (4 178)
% 159.73/159.93 ; 236 with value (4 50) 27 with value (4 107) 2 with value (4 180)
% 159.73/159.93 ; 360 with value (4 51) 6 with value (4 108) 5 with value (4 182)
% 159.73/159.93 ; 367 with value (4 52) 13 with value (4 109) 1 with value (4 184)
% 159.73/159.93 ; 348 with value (4 53) 7 with value (4 110) 1 with value (4 186)
% 159.73/159.93 ; 139 with value (4 54) 10 with value (4 111) 2 with value (4 194)
% 159.73/159.93 ; 238 with value (4 55) 29 with value (4 112) 1 with value (4 196)
% 159.73/159.93 ; 209 with value (4 56) 35 with value (4 113) 2 with value (4 201)
% 159.73/159.93 ; 428 with value (4 57) 53 with value (4 114) 4 with value (4 202)
% 159.73/159.93 ; 213 with value (4 58) 10 with value (4 115) 1 with value (4 211)
% 159.73/159.93 ; 159 with value (4 59) 30 with value (4 116) 2 with value (4 227)
% 159.73/159.93 ; 271 with value (4 60) 12 with value (4 117) 1 with value (4 237)
% 159.73/159.93 ; 216 with value (4 61) 22 with value (4 118) 1 with value (4 248)
% 159.73/159.93 Evaluation took:
% 159.73/159.93 159.468 seconds of real time
% 159.73/159.93 152.82336 seconds of user run time
% 159.73/159.93 6.64719 seconds of system run time
% 159.73/159.93 [Run times include 25.834 seconds GC run time.]
% 159.73/159.93 0 calls to %EVAL
% 159.73/159.93 0 page faults and
% 159.73/159.93 9,644,174,072 bytes consed.
% 159.73/159.93 :PROOF-FOUND
% 159.73/159.93 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T02:51:13
% 159.73/159.93 :PROOF-FOUND
% 159.73/159.93 *
%------------------------------------------------------------------------------