%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG406-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e5P3hFRDtP true
% Computer : n010.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 04:28:44 PM UTC 2025
% Result : Unsatisfiable 51.61s 8.01s
% Output : Refutation 51.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG406-1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e5P3hFRDtP true
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:04:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 51.61/8.01 % Solved by fo/fo6_bce.sh.
% 51.61/8.01 % BCE start: 678
% 51.61/8.01 % BCE eliminated: 4
% 51.61/8.01 % PE start: 674
% 51.61/8.01 logic: eq
% 51.61/8.01 % PE eliminated: -127
% 51.61/8.01 % done 3028 iterations in 7.262s
% 51.61/8.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 51.61/8.01 % SZS output start Refutation
% 51.61/8.01 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 51.61/8.01 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 51.61/8.01 $i > $i > $i > $i).
% 51.61/8.01 thf(class_RealVector_Oreal__normed__vector_type, type, class_RealVector_Oreal__normed__vector:
% 51.61/8.01 $i > $o).
% 51.61/8.01 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 51.61/8.01 $i > $o).
% 51.61/8.01 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 51.61/8.01 $i > $i > $i).
% 51.61/8.01 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 51.61/8.01 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 51.61/8.01 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 51.61/8.01 thf(class_Ring__and__Field_Oordered__semiring__strict_type, type, class_Ring__and__Field_Oordered__semiring__strict:
% 51.61/8.01 $i > $o).
% 51.61/8.01 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 51.61/8.01 thf(v_w_____type, type, v_w____: $i).
% 51.61/8.01 thf(v_t_____type, type, v_t____: $i).
% 51.61/8.01 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 51.61/8.01 thf(cls_conjecture_0, conjecture,
% 51.61/8.01 (c_lessequals @
% 51.61/8.01 ( c_HOL_Otimes__class_Otimes @
% 51.61/8.01 v_t____ @
% 51.61/8.01 ( c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex ) @
% 51.61/8.01 tc_RealDef_Oreal ) @
% 51.61/8.01 ( c_HOL_Otimes__class_Otimes @
% 51.61/8.01 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @
% 51.61/8.01 ( c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex ) @
% 51.61/8.01 tc_RealDef_Oreal ) @
% 51.61/8.01 tc_RealDef_Oreal)).
% 51.61/8.01 thf(zf_stmt_0, negated_conjecture,
% 51.61/8.01 (~( c_lessequals @
% 51.61/8.01 ( c_HOL_Otimes__class_Otimes @
% 51.61/8.01 v_t____ @
% 51.61/8.01 ( c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex ) @
% 51.61/8.01 tc_RealDef_Oreal ) @
% 51.61/8.01 ( c_HOL_Otimes__class_Otimes @
% 51.61/8.01 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @
% 51.61/8.01 ( c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex ) @
% 51.61/8.01 tc_RealDef_Oreal ) @
% 51.61/8.01 tc_RealDef_Oreal )),
% 51.61/8.01 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 51.61/8.01 thf(zip_derived_cl558, plain,
% 51.61/8.01 (~ (c_lessequals @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @
% 51.61/8.01 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 tc_RealDef_Oreal)),
% 51.61/8.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 51.61/8.01 thf(cls_real__mult__1_0, axiom,
% 51.61/8.01 (( c_HOL_Otimes__class_Otimes @
% 51.61/8.01 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ V_z @ tc_RealDef_Oreal ) =
% 51.61/8.01 ( V_z ))).
% 51.61/8.01 thf(zip_derived_cl551, plain,
% 51.61/8.01 (![X0 : $i]:
% 51.61/8.01 ((c_HOL_Otimes__class_Otimes @
% 51.61/8.01 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ X0 @ tc_RealDef_Oreal)
% 51.61/8.01 = (X0))),
% 51.61/8.01 inference('cnf', [status(esa)], [cls_real__mult__1_0])).
% 51.61/8.01 thf(zip_derived_cl5555, plain,
% 51.61/8.01 (~ (c_lessequals @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal)),
% 51.61/8.01 inference('demod', [status(thm)], [zip_derived_cl558, zip_derived_cl551])).
% 51.61/8.01 thf(cls_real__le__linear_0, axiom,
% 51.61/8.01 (( c_lessequals @ V_w @ V_z @ tc_RealDef_Oreal ) |
% 51.61/8.01 ( c_lessequals @ V_z @ V_w @ tc_RealDef_Oreal ))).
% 51.61/8.01 thf(zip_derived_cl520, plain,
% 51.61/8.01 (![X0 : $i, X1 : $i]:
% 51.61/8.01 ( (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 51.61/8.01 | (c_lessequals @ X1 @ X0 @ tc_RealDef_Oreal))),
% 51.61/8.01 inference('cnf', [status(esa)], [cls_real__le__linear_0])).
% 51.61/8.01 thf(zip_derived_cl5555, plain,
% 51.61/8.01 (~ (c_lessequals @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal)),
% 51.61/8.01 inference('demod', [status(thm)], [zip_derived_cl558, zip_derived_cl551])).
% 51.61/8.01 thf(zip_derived_cl11649, plain,
% 51.61/8.01 ( (c_lessequals @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 tc_RealDef_Oreal)),
% 51.61/8.01 inference('s_sup-', [status(thm)],
% 51.61/8.01 [zip_derived_cl520, zip_derived_cl5555])).
% 51.61/8.01 thf(cls_real__le__trans_0, axiom,
% 51.61/8.01 (( c_lessequals @ V_i @ V_k @ tc_RealDef_Oreal ) |
% 51.61/8.01 ( ~( c_lessequals @ V_j @ V_k @ tc_RealDef_Oreal ) ) |
% 51.61/8.01 ( ~( c_lessequals @ V_i @ V_j @ tc_RealDef_Oreal ) ))).
% 51.61/8.01 thf(zip_derived_cl525, plain,
% 51.61/8.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.61/8.01 ( (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @ X2 @ X1 @ tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @ X0 @ X2 @ tc_RealDef_Oreal))),
% 51.61/8.01 inference('cnf', [status(esa)], [cls_real__le__trans_0])).
% 51.61/8.01 thf(zip_derived_cl12118, plain,
% 51.61/8.01 (![X0 : $i]:
% 51.61/8.01 ( (c_lessequals @ X0 @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @ X0 @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal))),
% 51.61/8.01 inference('s_sup-', [status(thm)],
% 51.61/8.01 [zip_derived_cl11649, zip_derived_cl525])).
% 51.61/8.01 thf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom, axiom,
% 51.61/8.01 (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal)).
% 51.61/8.01 thf(zip_derived_cl627, plain,
% 51.61/8.01 ( (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal)),
% 51.61/8.01 inference('cnf', [status(esa)],
% 51.61/8.01 [clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom])).
% 51.61/8.01 thf(cls_mult__left__le__one__le_0, axiom,
% 51.61/8.01 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 51.61/8.01 ( c_lessequals @
% 51.61/8.01 ( c_HOL_Otimes__class_Otimes @ V_y @ V_x @ T_a ) @ V_x @ T_a ) |
% 51.61/8.01 ( ~( c_lessequals @ V_y @ ( c_HOL_Oone__class_Oone @ T_a ) @ T_a ) ) |
% 51.61/8.01 ( ~( c_lessequals @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_y @ T_a ) ) |
% 51.61/8.01 ( ~( c_lessequals @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_x @ T_a ) ))).
% 51.61/8.01 thf(zip_derived_cl509, plain,
% 51.61/8.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 51.61/8.01 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 51.61/8.01 | (c_lessequals @ (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ X0) @
% 51.61/8.01 X2 @ X0)
% 51.61/8.01 | ~ (c_lessequals @ X1 @ (c_HOL_Oone__class_Oone @ X0) @ X0)
% 51.61/8.01 | ~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0)
% 51.61/8.01 | ~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ X0) @ X2 @ X0))),
% 51.61/8.01 inference('cnf', [status(esa)], [cls_mult__left__le__one__le_0])).
% 51.61/8.01 thf(zip_derived_cl4412, plain,
% 51.61/8.01 (![X0 : $i, X1 : $i]:
% 51.61/8.01 (~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 51.61/8.01 X0 @ tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 51.61/8.01 X1 @ tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @ X1 @
% 51.61/8.01 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 51.61/8.01 | (c_lessequals @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal) @ X0 @
% 51.61/8.01 tc_RealDef_Oreal))),
% 51.61/8.01 inference('dp-resolution', [status(thm)],
% 51.61/8.01 [zip_derived_cl627, zip_derived_cl509])).
% 51.61/8.01 thf(zip_derived_cl34975, plain,
% 51.61/8.01 (![X0 : $i]:
% 51.61/8.01 (~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 51.61/8.01 X0 @ tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @ X0 @
% 51.61/8.01 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 51.61/8.01 | (c_lessequals @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ X0 @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @
% 51.61/8.01 tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 tc_RealDef_Oreal))),
% 51.61/8.01 inference('s_sup-', [status(thm)],
% 51.61/8.01 [zip_derived_cl12118, zip_derived_cl4412])).
% 51.61/8.01 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector, axiom,
% 51.61/8.01 (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)).
% 51.61/8.01 thf(zip_derived_cl658, plain,
% 51.61/8.01 ( (class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex)),
% 51.61/8.01 inference('cnf', [status(esa)],
% 51.61/8.01 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector])).
% 51.61/8.01 thf(cls_norm__ge__zero_0, axiom,
% 51.61/8.01 (( ~( class_RealVector_Oreal__normed__vector @ T_a ) ) |
% 51.61/8.01 ( c_lessequals @
% 51.61/8.01 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @
% 51.61/8.01 ( c_RealVector_Onorm__class_Onorm @ V_x @ T_a ) @ tc_RealDef_Oreal ))).
% 51.61/8.01 thf(zip_derived_cl502, plain,
% 51.61/8.01 (![X0 : $i, X1 : $i]:
% 51.61/8.01 (~ (class_RealVector_Oreal__normed__vector @ X0)
% 51.61/8.01 | (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ X1 @ X0) @ tc_RealDef_Oreal))),
% 51.61/8.01 inference('cnf', [status(esa)], [cls_norm__ge__zero_0])).
% 51.61/8.01 thf(zip_derived_cl4130, plain,
% 51.61/8.01 (![X0 : $i]:
% 51.61/8.01 (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal)),
% 51.61/8.01 inference('dp-resolution', [status(thm)],
% 51.61/8.01 [zip_derived_cl658, zip_derived_cl502])).
% 51.61/8.01 thf(zip_derived_cl35002, plain,
% 51.61/8.01 (![X0 : $i]:
% 51.61/8.01 (~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 51.61/8.01 X0 @ tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @ X0 @
% 51.61/8.01 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 51.61/8.01 | (c_lessequals @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ X0 @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @
% 51.61/8.01 tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.01 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.01 tc_RealDef_Oreal) @
% 51.61/8.01 tc_RealDef_Oreal))),
% 51.61/8.01 inference('demod', [status(thm)],
% 51.61/8.01 [zip_derived_cl34975, zip_derived_cl4130])).
% 51.61/8.01 thf(cls_t_I1_J_0, axiom,
% 51.61/8.01 (c_HOL_Oord__class_Oless @
% 51.61/8.01 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_t____ @
% 51.61/8.01 tc_RealDef_Oreal)).
% 51.61/8.01 thf(zip_derived_cl26, plain,
% 51.61/8.01 ( (c_HOL_Oord__class_Oless @
% 51.61/8.01 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_t____ @
% 51.61/8.01 tc_RealDef_Oreal)),
% 51.61/8.01 inference('cnf', [status(esa)], [cls_t_I1_J_0])).
% 51.61/8.01 thf(cls_mult__left__le__imp__le_0, axiom,
% 51.61/8.01 (( ~( class_Ring__and__Field_Oordered__semiring__strict @ T_a ) ) |
% 51.61/8.01 ( c_lessequals @ V_a @ V_b @ T_a ) |
% 51.61/8.01 ( ~( c_HOL_Oord__class_Oless @
% 51.61/8.01 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_c @ T_a ) ) |
% 51.61/8.01 ( ~( c_lessequals @
% 51.61/8.01 ( c_HOL_Otimes__class_Otimes @ V_c @ V_a @ T_a ) @
% 51.61/8.01 ( c_HOL_Otimes__class_Otimes @ V_c @ V_b @ T_a ) @ T_a ) ))).
% 51.61/8.01 thf(zip_derived_cl266, plain,
% 51.61/8.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 51.61/8.01 (~ (class_Ring__and__Field_Oordered__semiring__strict @ X0)
% 51.61/8.01 | (c_lessequals @ X1 @ X2 @ X0)
% 51.61/8.01 | ~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @
% 51.61/8.01 X3 @ X0)
% 51.61/8.01 | ~ (c_lessequals @ (c_HOL_Otimes__class_Otimes @ X3 @ X1 @ X0) @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ X3 @ X2 @ X0) @ X0))),
% 51.61/8.01 inference('cnf', [status(esa)], [cls_mult__left__le__imp__le_0])).
% 51.61/8.01 thf(zip_derived_cl7585, plain,
% 51.61/8.01 (![X0 : $i, X1 : $i]:
% 51.61/8.01 (~ (class_Ring__and__Field_Oordered__semiring__strict @
% 51.61/8.01 tc_RealDef_Oreal)
% 51.61/8.01 | (c_lessequals @ X1 @ X0 @ tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @ X1 @ tc_RealDef_Oreal) @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @ X0 @ tc_RealDef_Oreal) @
% 51.61/8.01 tc_RealDef_Oreal))),
% 51.61/8.01 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl266])).
% 51.61/8.01 thf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict, axiom,
% 51.61/8.01 (class_Ring__and__Field_Oordered__semiring__strict @ tc_RealDef_Oreal)).
% 51.61/8.01 thf(zip_derived_cl594, plain,
% 51.61/8.01 ( (class_Ring__and__Field_Oordered__semiring__strict @ tc_RealDef_Oreal)),
% 51.61/8.01 inference('cnf', [status(esa)],
% 51.61/8.01 [clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict])).
% 51.61/8.01 thf(zip_derived_cl7591, plain,
% 51.61/8.01 (![X0 : $i, X1 : $i]:
% 51.61/8.01 ( (c_lessequals @ X1 @ X0 @ tc_RealDef_Oreal)
% 51.61/8.01 | ~ (c_lessequals @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @ X1 @ tc_RealDef_Oreal) @
% 51.61/8.01 (c_HOL_Otimes__class_Otimes @ v_t____ @ X0 @ tc_RealDef_Oreal) @
% 51.61/8.01 tc_RealDef_Oreal))),
% 51.61/8.01 inference('demod', [status(thm)], [zip_derived_cl7585, zip_derived_cl594])).
% 51.61/8.02 thf(zip_derived_cl52201, plain,
% 51.61/8.02 ((~ (c_lessequals @ v_t____ @
% 51.61/8.02 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 51.61/8.02 | ~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 51.61/8.02 v_t____ @ tc_RealDef_Oreal)
% 51.61/8.02 | (c_lessequals @
% 51.61/8.02 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.02 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.02 tc_RealDef_Oreal) @
% 51.61/8.02 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.02 tc_RealDef_Oreal))),
% 51.61/8.02 inference('s_sup-', [status(thm)],
% 51.61/8.02 [zip_derived_cl35002, zip_derived_cl7591])).
% 51.61/8.02 thf(cls_t_I2_J_0, axiom,
% 51.61/8.02 (c_HOL_Oord__class_Oless @
% 51.61/8.02 v_t____ @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ tc_RealDef_Oreal)).
% 51.61/8.02 thf(zip_derived_cl507, plain,
% 51.61/8.02 ( (c_HOL_Oord__class_Oless @ v_t____ @
% 51.61/8.02 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)),
% 51.61/8.02 inference('cnf', [status(esa)], [cls_t_I2_J_0])).
% 51.61/8.02 thf(cls_real__less__def_0, axiom,
% 51.61/8.02 (( c_lessequals @ V_x @ V_y @ tc_RealDef_Oreal ) |
% 51.61/8.02 ( ~( c_HOL_Oord__class_Oless @ V_x @ V_y @ tc_RealDef_Oreal ) ))).
% 51.61/8.02 thf(zip_derived_cl333, plain,
% 51.61/8.02 (![X0 : $i, X1 : $i]:
% 51.61/8.02 ( (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 51.61/8.02 | ~ (c_HOL_Oord__class_Oless @ X0 @ X1 @ tc_RealDef_Oreal))),
% 51.61/8.02 inference('cnf', [status(esa)], [cls_real__less__def_0])).
% 51.61/8.02 thf(zip_derived_cl5717, plain,
% 51.61/8.02 ( (c_lessequals @ v_t____ @
% 51.61/8.02 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)),
% 51.61/8.02 inference('s_sup-', [status(thm)], [zip_derived_cl507, zip_derived_cl333])).
% 51.61/8.02 thf(zip_derived_cl26, plain,
% 51.61/8.02 ( (c_HOL_Oord__class_Oless @
% 51.61/8.02 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_t____ @
% 51.61/8.02 tc_RealDef_Oreal)),
% 51.61/8.02 inference('cnf', [status(esa)], [cls_t_I1_J_0])).
% 51.61/8.02 thf(zip_derived_cl333, plain,
% 51.61/8.02 (![X0 : $i, X1 : $i]:
% 51.61/8.02 ( (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 51.61/8.02 | ~ (c_HOL_Oord__class_Oless @ X0 @ X1 @ tc_RealDef_Oreal))),
% 51.61/8.02 inference('cnf', [status(esa)], [cls_real__less__def_0])).
% 51.61/8.02 thf(zip_derived_cl5711, plain,
% 51.61/8.02 ( (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 51.61/8.02 v_t____ @ tc_RealDef_Oreal)),
% 51.61/8.02 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl333])).
% 51.61/8.02 thf(zip_derived_cl52252, plain,
% 51.61/8.02 ( (c_lessequals @
% 51.61/8.02 (c_HOL_Otimes__class_Otimes @ v_t____ @
% 51.61/8.02 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.02 tc_RealDef_Oreal) @
% 51.61/8.02 (c_RealVector_Onorm__class_Onorm @ v_w____ @ tc_Complex_Ocomplex) @
% 51.61/8.02 tc_RealDef_Oreal)),
% 51.61/8.02 inference('demod', [status(thm)],
% 51.61/8.02 [zip_derived_cl52201, zip_derived_cl5717, zip_derived_cl5711])).
% 51.61/8.02 thf(zip_derived_cl52293, plain, ($false),
% 51.61/8.02 inference('demod', [status(thm)],
% 51.61/8.02 [zip_derived_cl5555, zip_derived_cl52252])).
% 51.61/8.02
% 51.61/8.02 % SZS output end Refutation
% 51.61/8.02
% 51.61/8.02
% 51.61/8.02 % Terminating...
% 52.15/8.08 % Runner terminated.
% 52.15/8.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------