%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG429-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hN08FwUhTu true
% 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 : 300s
% DateTime : Thu Oct 2 04:28:46 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.98s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG429-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hN08FwUhTu true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:05:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.57/0.63 % Total configuration time : 435
% 0.57/0.63 % Estimated wc time : 1092
% 0.57/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.98 % Solved by fo/fo1_av.sh.
% 0.59/0.98 % done 72 iterations in 0.212s
% 0.59/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.98 % SZS output start Refutation
% 0.59/0.98 thf(c_Polynomial_Odegree_type, type, c_Polynomial_Odegree: $i > $i > $i).
% 0.59/0.98 thf(tc_nat_type, type, tc_nat: $i).
% 0.59/0.98 thf(tc_Polynomial_Opoly_type, type, tc_Polynomial_Opoly: $i > $i).
% 0.59/0.98 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 0.59/0.98 thf(v_p_type, type, v_p: $i).
% 0.59/0.98 thf(v_q_type, type, v_q: $i).
% 0.59/0.98 thf(c_Ring__and__Field_Odvd__class_Odvd_type, type, c_Ring__and__Field_Odvd__class_Odvd:
% 0.59/0.98 $i > $i > $i > $o).
% 0.59/0.98 thf(v_x_type, type, v_x: $i).
% 0.59/0.98 thf(v_sko__CHAINED__1_type, type, v_sko__CHAINED__1: $i > $i > $i).
% 0.59/0.98 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 0.59/0.98 thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower:
% 0.59/0.98 $i > $i > $i > $i).
% 0.59/0.98 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 0.59/0.98 thf(cls_CHAINED_0, axiom,
% 0.59/0.98 (( ( v_p ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @
% 0.59/0.98 v_p @ ( v_sko__CHAINED__1 @ v_p @ v_q ) @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ))).
% 0.59/0.98 thf(zip_derived_cl1159, plain,
% 0.59/0.98 ((((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 0.59/0.98 | (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 0.59/0.98 thf('0', plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) |
% 0.59/0.98 (((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))) |
% 0.59/0.98 (((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))) |
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1159])).
% 0.59/0.98 thf(cls_CHAINED_0_06, axiom,
% 0.59/0.98 (( ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 0.59/0.98 ( ( v_p ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @
% 0.59/0.98 v_p @ ( v_sko__CHAINED__1 @ v_p @ v_q ) @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ))).
% 0.59/0.98 thf(zip_derived_cl1165, plain,
% 0.59/0.98 ((((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 0.59/0.98 | ((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 0.59/0.98 | (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_CHAINED_0_06])).
% 0.59/0.98 thf('1', plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) |
% 0.59/0.98 ~
% 0.59/0.98 (((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))) |
% 0.59/0.98 (((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))) |
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1165])).
% 0.59/0.98 thf(cls_CHAINED_2_04, axiom,
% 0.59/0.98 (( ( c_Polynomial_Opoly @
% 0.59/0.98 v_q @ ( v_sko__CHAINED__1 @ v_p @ v_q ) @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 0.59/0.98 ( ( v_p ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ))).
% 0.59/0.98 thf(zip_derived_cl1163, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 0.59/0.98 | ((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 0.59/0.98 | (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_CHAINED_2_04])).
% 0.59/0.98 thf('2', plain,
% 0.59/0.98 (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) |
% 0.59/0.98 ~
% 0.59/0.98 (((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))) |
% 0.59/0.98 (((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))) |
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1163])).
% 0.59/0.98 thf(cls_CHAINED_2, axiom,
% 0.59/0.98 (( ( c_Polynomial_Opoly @
% 0.59/0.98 v_q @ ( v_sko__CHAINED__1 @ v_p @ v_q ) @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 0.59/0.98 ( ( v_p ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ))).
% 0.59/0.98 thf(zip_derived_cl1157, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))
% 0.59/0.98 | ((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 0.59/0.98 | (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_CHAINED_2])).
% 0.59/0.98 thf(zip_derived_cl1371, plain,
% 0.59/0.98 ((((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))
% 0.59/0.98 <= ((((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1157])).
% 0.59/0.98 thf(cls_pe_0, axiom,
% 0.59/0.98 (( v_p ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ))).
% 0.59/0.98 thf(zip_derived_cl1151, plain,
% 0.59/0.98 (((v_p)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_pe_0])).
% 0.59/0.98 thf('3', plain,
% 0.59/0.98 (~
% 0.59/0.98 (((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('simplify_reflect-', [status(thm)],
% 0.59/0.98 [zip_derived_cl1371, zip_derived_cl1151])).
% 0.59/0.98 thf(cls_CHAINED_4_02, axiom,
% 0.59/0.98 (( ( c_Polynomial_Opoly @ v_p @ V_x @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @ v_q @ V_x @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ))).
% 0.59/0.98 thf(zip_derived_cl1161, plain,
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ~ (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_nat))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_CHAINED_4_02])).
% 0.59/0.98 thf('4', plain,
% 0.59/0.98 ((![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))) |
% 0.59/0.98 ~
% 0.59/0.98 (((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))) |
% 0.59/0.98 ~
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1161])).
% 0.59/0.98 thf(cls_conjecture_0, conjecture,
% 0.59/0.98 (~( ( ( c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ))).
% 0.59/0.98 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.98 (( ( c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )),
% 0.59/0.98 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.59/0.98 thf(zip_derived_cl1166, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ~ (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.98 thf(zip_derived_cl1403, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))
% 0.59/0.98 <= ((((c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1166])).
% 0.59/0.98 thf(cls_CHAINED_5, axiom,
% 0.59/0.98 (( ( c_Polynomial_Opoly @ v_p @ V_xa @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( v_q ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( ( v_p ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @ v_q @ V_xa @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ))).
% 0.59/0.98 thf(zip_derived_cl1154, plain,
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((v_q)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 0.59/0.98 | ((v_p)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 0.59/0.98 | ((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_CHAINED_5])).
% 0.59/0.98 thf(zip_derived_cl1357, plain,
% 0.59/0.98 ((![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))
% 0.59/0.98 <= ((![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1154])).
% 0.59/0.98 thf(cls_conjecture_1, conjecture,
% 0.59/0.98 (~( ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ))).
% 0.59/0.98 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.98 (( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )),
% 0.59/0.98 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.59/0.98 thf(zip_derived_cl1167, plain,
% 0.59/0.98 ((~ (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.98 thf(zip_derived_cl1405, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))
% 0.59/0.98 <= (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1167])).
% 0.59/0.98 thf(zip_derived_cl1438, plain,
% 0.59/0.98 (((((c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))
% 0.59/0.98 <= (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) &
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))))),
% 0.59/0.98 inference('s_sup-', [status(thm)],
% 0.59/0.98 [zip_derived_cl1357, zip_derived_cl1405])).
% 0.59/0.98 thf(zip_derived_cl1440, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))
% 0.59/0.98 <= (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) &
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))))),
% 0.59/0.98 inference('simplify', [status(thm)], [zip_derived_cl1438])).
% 0.59/0.98 thf(zip_derived_cl1442, plain,
% 0.59/0.98 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))
% 0.59/0.98 <= (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) &
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))) &
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('s_sup-', [status(thm)],
% 0.59/0.98 [zip_derived_cl1403, zip_derived_cl1440])).
% 0.59/0.98 thf('5', plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) |
% 0.59/0.98 ~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) |
% 0.59/0.98 ~
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('simplify', [status(thm)], [zip_derived_cl1442])).
% 0.59/0.98 thf('6', plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) |
% 0.59/0.98 ~
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1166])).
% 0.59/0.98 thf('7', plain,
% 0.59/0.98 (~
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))) |
% 0.59/0.98 ~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ v_x @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1167])).
% 0.59/0.98 thf(cls_CHAINED_4, axiom,
% 0.59/0.98 (( ( c_Polynomial_Opoly @ v_p @ V_x @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @ v_q @ V_x @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ))).
% 0.59/0.98 thf(zip_derived_cl1155, plain,
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ~ (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_CHAINED_4])).
% 0.59/0.98 thf('8', plain,
% 0.59/0.98 ((![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))) |
% 0.59/0.98 (((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))) |
% 0.59/0.98 ~
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1155])).
% 0.59/0.98 thf('9', plain,
% 0.59/0.98 (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) |
% 0.59/0.98 (((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))) |
% 0.59/0.98 (((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))) |
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1157])).
% 0.59/0.98 thf(cls_CHAINED_1, axiom,
% 0.59/0.98 (( ( v_q ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @
% 0.59/0.98 v_p @ ( v_sko__CHAINED__1 @ v_p @ v_q ) @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ))).
% 0.59/0.98 thf(zip_derived_cl1158, plain,
% 0.59/0.98 ((((v_q)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 0.59/0.98 | (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_CHAINED_1])).
% 0.59/0.98 thf(zip_derived_cl1372, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))
% 0.59/0.98 <= ((((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1158])).
% 0.59/0.98 thf(zip_derived_cl1357, plain,
% 0.59/0.98 ((![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))
% 0.59/0.98 <= ((![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1154])).
% 0.59/0.98 thf(cls_CHAINED_3, axiom,
% 0.59/0.98 (( ( c_Polynomial_Opoly @
% 0.59/0.98 v_q @ ( v_sko__CHAINED__1 @ v_p @ v_q ) @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) |
% 0.59/0.98 ( ( v_q ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ))).
% 0.59/0.98 thf(zip_derived_cl1156, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))
% 0.59/0.98 | ((v_q)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 0.59/0.98 | (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [cls_CHAINED_3])).
% 0.59/0.98 thf(zip_derived_cl1364, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))
% 0.59/0.98 <= (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1156])).
% 0.59/0.98 thf(zip_derived_cl1439, plain,
% 0.59/0.98 (((((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))
% 0.59/0.98 <= (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) &
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))))),
% 0.59/0.98 inference('s_sup-', [status(thm)],
% 0.59/0.98 [zip_derived_cl1357, zip_derived_cl1364])).
% 0.59/0.98 thf(zip_derived_cl1441, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))
% 0.59/0.98 <= (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) &
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))))),
% 0.59/0.98 inference('simplify', [status(thm)], [zip_derived_cl1439])).
% 0.59/0.98 thf('10', plain,
% 0.59/0.98 ((((c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_nat))) |
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))) |
% 0.59/0.98 ~
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1155])).
% 0.59/0.98 thf(cls_conjecture_4, conjecture,
% 0.59/0.98 (~( ( ( c_Polynomial_Opoly @ v_q @ V_xa @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( v_p ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @ v_p @ V_xa @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ))).
% 0.59/0.98 thf(zf_stmt_2, negated_conjecture,
% 0.59/0.98 (( ( c_Polynomial_Opoly @ v_q @ V_xa @ tc_Complex_Ocomplex ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( c_Ring__and__Field_Odvd__class_Odvd @
% 0.59/0.98 v_p @
% 0.59/0.98 ( c_Power_Opower__class_Opower @
% 0.59/0.98 v_q @ ( c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) |
% 0.59/0.98 ( ( v_p ) =
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @
% 0.59/0.98 ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) |
% 0.59/0.98 ( ( c_Polynomial_Opoly @ v_p @ V_xa @ tc_Complex_Ocomplex ) !=
% 0.59/0.98 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )),
% 0.59/0.98 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.59/0.98 thf(zip_derived_cl1170, plain,
% 0.59/0.98 (![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.98 thf('11', plain,
% 0.59/0.98 ((![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))) |
% 0.59/0.98 ( (c_Ring__and__Field_Odvd__class_Odvd @ v_p @
% 0.59/0.98 (c_Power_Opower__class_Opower @ v_q @
% 0.59/0.98 (c_Polynomial_Odegree @ v_p @ tc_Complex_Ocomplex) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex)) @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))) |
% 0.59/0.98 (((v_p)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @
% 0.59/0.98 (tc_Polynomial_Opoly @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('split', [status(esa)], [zip_derived_cl1170])).
% 0.59/0.98 thf('12', plain,
% 0.59/0.98 ((![X0 : $i]:
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 0.59/0.98 | ((c_Polynomial_Opoly @ v_q @ X0 @ tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('sat_resolution*', [status(thm)],
% 0.59/0.98 ['3', '4', '5', '6', '7', '10', '11'])).
% 0.59/0.98 thf(zip_derived_cl1444, plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))
% 0.59/0.98 <= (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl1441, '12'])).
% 0.59/0.98 thf(zip_derived_cl1450, plain,
% 0.59/0.98 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 0.59/0.98 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))
% 0.59/0.98 <= (~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) &
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))))),
% 0.59/0.98 inference('s_sup-', [status(thm)],
% 0.59/0.98 [zip_derived_cl1372, zip_derived_cl1444])).
% 0.59/0.98 thf('13', plain,
% 0.59/0.98 ((((c_Polynomial_Opoly @ v_q @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))) |
% 0.59/0.98 ~
% 0.59/0.98 (((c_Polynomial_Opoly @ v_p @ (v_sko__CHAINED__1 @ v_p @ v_q) @
% 0.59/0.98 tc_Complex_Ocomplex)
% 0.59/0.98 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 0.59/0.98 inference('simplify', [status(thm)], [zip_derived_cl1450])).
% 0.59/0.98 thf(zip_derived_cl1453, plain, ($false),
% 0.59/0.98 inference('sat_resolution*', [status(thm)],
% 0.59/0.98 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '13'])).
% 0.59/0.98
% 0.59/0.98 % SZS output end Refutation
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 % Terminating...
% 0.61/1.05 % Runner terminated.
% 1.96/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------