TSTP Solution File: ANA031-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h7vvt3iKem true
% Computer : n015.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 : Wed Aug 30 17:26:02 EDT 2023
% Result : Unsatisfiable 1.50s 0.99s
% Output : Refutation 1.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h7vvt3iKem true
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 18:36:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.22/0.35 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.50/0.99 % Solved by fo/fo7.sh.
% 1.50/0.99 % done 89 iterations in 0.172s
% 1.50/0.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.50/0.99 % SZS output start Refutation
% 1.50/0.99 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 1.50/0.99 thf(v_b_type, type, v_b: $i > $i).
% 1.50/0.99 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 1.50/0.99 thf(class_OrderedGroup_Oab__semigroup__mult_type, type, class_OrderedGroup_Oab__semigroup__mult:
% 1.50/0.99 $i > $o).
% 1.50/0.99 thf(t_b_type, type, t_b: $i).
% 1.50/0.99 thf(v_f_type, type, v_f: $i > $i).
% 1.50/0.99 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 1.50/0.99 $i > $o).
% 1.50/0.99 thf(class_Ring__and__Field_Opordered__semiring_type, type, class_Ring__and__Field_Opordered__semiring:
% 1.50/0.99 $i > $o).
% 1.50/0.99 thf(v_x_type, type, v_x: $i > $i).
% 1.50/0.99 thf(class_OrderedGroup_Osemigroup__mult_type, type, class_OrderedGroup_Osemigroup__mult:
% 1.50/0.99 $i > $o).
% 1.50/0.99 thf(v_c_type, type, v_c: $i).
% 1.50/0.99 thf(c_0_type, type, c_0: $i).
% 1.50/0.99 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 1.50/0.99 $i > $o).
% 1.50/0.99 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 1.50/0.99 thf(v_g_type, type, v_g: $i > $i).
% 1.50/0.99 thf(cls_conjecture_0, conjecture,
% 1.50/0.99 (~( c_lessequals @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_b @ V_U ) @ t_b ) @
% 1.50/0.99 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_g @ V_U ) @ t_b ) @ t_b ) @ t_b ))).
% 1.50/0.99 thf(zf_stmt_0, negated_conjecture,
% 1.50/0.99 (c_lessequals @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_b @ V_U ) @ t_b ) @
% 1.50/0.99 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_g @ V_U ) @ t_b ) @ t_b ) @ t_b),
% 1.50/0.99 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 1.50/0.99 thf(zip_derived_cl0, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (c_lessequals @ (c_HOL_Oabs @ (v_b @ X0) @ t_b) @
% 1.50/0.99 (c_times @ v_c @ (c_HOL_Oabs @ (v_g @ X0) @ t_b) @ t_b) @ t_b)),
% 1.50/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.50/0.99 thf(cls_OrderedGroup_Omult__ac__2_0, axiom,
% 1.50/0.99 (( ~( class_OrderedGroup_Oab__semigroup__mult @ T_a ) ) |
% 1.50/0.99 ( ( c_times @ V_a @ V_b @ T_a ) = ( c_times @ V_b @ V_a @ T_a ) ))).
% 1.50/0.99 thf(zip_derived_cl4, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ((c_times @ X2 @ X1 @ X0) = (c_times @ X1 @ X2 @ X0)))),
% 1.50/0.99 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__2_0])).
% 1.50/0.99 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 1.50/0.99 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 1.50/0.99 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 1.50/0.99 thf(zip_derived_cl2, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 1.50/0.99 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 1.50/0.99 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 1.50/0.99 thf(zip_derived_cl4, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ((c_times @ X2 @ X1 @ X0) = (c_times @ X1 @ X2 @ X0)))),
% 1.50/0.99 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__2_0])).
% 1.50/0.99 thf(zip_derived_cl4, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ((c_times @ X2 @ X1 @ X0) = (c_times @ X1 @ X2 @ X0)))),
% 1.50/0.99 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__2_0])).
% 1.50/0.99 thf(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0, axiom,
% 1.50/0.99 (( ~( class_Ring__and__Field_Opordered__semiring @ T_a ) ) |
% 1.50/0.99 ( ~( c_lessequals @ V_a @ V_b @ T_a ) ) |
% 1.50/0.99 ( ~( c_lessequals @ c_0 @ V_c @ T_a ) ) |
% 1.50/0.99 ( c_lessequals @
% 1.50/0.99 ( c_times @ V_c @ V_a @ T_a ) @ ( c_times @ V_c @ V_b @ T_a ) @ T_a ))).
% 1.50/0.99 thf(zip_derived_cl5, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/0.99 (~ (class_Ring__and__Field_Opordered__semiring @ X0)
% 1.50/0.99 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 1.50/0.99 | ~ (c_lessequals @ c_0 @ X3 @ X0)
% 1.50/0.99 | (c_lessequals @ (c_times @ X3 @ X1 @ X0) @
% 1.50/0.99 (c_times @ X3 @ X2 @ X0) @ X0))),
% 1.50/0.99 inference('cnf', [status(esa)],
% 1.50/0.99 [cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0])).
% 1.50/0.99 thf(zip_derived_cl255, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/0.99 ( (c_lessequals @ (c_times @ X1 @ X3 @ X0) @
% 1.50/0.99 (c_times @ X2 @ X1 @ X0) @ X0)
% 1.50/0.99 | ~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 1.50/0.99 | ~ (c_lessequals @ X3 @ X2 @ X0)
% 1.50/0.99 | ~ (class_Ring__and__Field_Opordered__semiring @ X0))),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.50/0.99 thf(zip_derived_cl275, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/0.99 ( (c_lessequals @ (c_times @ X2 @ X1 @ X0) @
% 1.50/0.99 (c_times @ X3 @ X1 @ X0) @ X0)
% 1.50/0.99 | ~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ~ (class_Ring__and__Field_Opordered__semiring @ X0)
% 1.50/0.99 | ~ (c_lessequals @ X2 @ X3 @ X0)
% 1.50/0.99 | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 1.50/0.99 | ~ (class_OrderedGroup_Oab__semigroup__mult @ X0))),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl255])).
% 1.50/0.99 thf(zip_derived_cl286, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/0.99 (~ (c_lessequals @ c_0 @ X1 @ X0)
% 1.50/0.99 | ~ (c_lessequals @ X2 @ X3 @ X0)
% 1.50/0.99 | ~ (class_Ring__and__Field_Opordered__semiring @ X0)
% 1.50/0.99 | ~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | (c_lessequals @ (c_times @ X2 @ X1 @ X0) @
% 1.50/0.99 (c_times @ X3 @ X1 @ X0) @ X0))),
% 1.50/0.99 inference('simplify', [status(thm)], [zip_derived_cl275])).
% 1.50/0.99 thf(zip_derived_cl4, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ((c_times @ X2 @ X1 @ X0) = (c_times @ X1 @ X2 @ X0)))),
% 1.50/0.99 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__2_0])).
% 1.50/0.99 thf(cls_OrderedGroup_Omult__ac__1_0, axiom,
% 1.50/0.99 (( ~( class_OrderedGroup_Osemigroup__mult @ T_a ) ) |
% 1.50/0.99 ( ( c_times @ ( c_times @ V_a @ V_b @ T_a ) @ V_c @ T_a ) =
% 1.50/0.99 ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a ) ))).
% 1.50/0.99 thf(zip_derived_cl3, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Osemigroup__mult @ X0)
% 1.50/0.99 | ((c_times @ (c_times @ X1 @ X2 @ X0) @ X3 @ X0)
% 1.50/0.99 = (c_times @ X1 @ (c_times @ X2 @ X3 @ X0) @ X0)))),
% 1.50/0.99 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__1_0])).
% 1.50/0.99 thf(zip_derived_cl25, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/0.99 (((c_times @ X3 @ (c_times @ X2 @ X1 @ X0) @ X0)
% 1.50/0.99 = (c_times @ X2 @ (c_times @ X1 @ X3 @ X0) @ X0))
% 1.50/0.99 | ~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ~ (class_OrderedGroup_Osemigroup__mult @ X0))),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.50/0.99 thf(zip_derived_cl4, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ((c_times @ X2 @ X1 @ X0) = (c_times @ X1 @ X2 @ X0)))),
% 1.50/0.99 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__2_0])).
% 1.50/0.99 thf(zip_derived_cl34, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/0.99 (((c_times @ (c_times @ X1 @ X3 @ X0) @ X2 @ X0)
% 1.50/0.99 = (c_times @ X3 @ (c_times @ X2 @ X1 @ X0) @ X0))
% 1.50/0.99 | ~ (class_OrderedGroup_Osemigroup__mult @ X0)
% 1.50/0.99 | ~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ~ (class_OrderedGroup_Oab__semigroup__mult @ X0))),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl4])).
% 1.50/0.99 thf(zip_derived_cl73, plain,
% 1.50/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 1.50/0.99 | ~ (class_OrderedGroup_Osemigroup__mult @ X0)
% 1.50/0.99 | ((c_times @ (c_times @ X1 @ X3 @ X0) @ X2 @ X0)
% 1.50/0.99 = (c_times @ X3 @ (c_times @ X2 @ X1 @ X0) @ X0)))),
% 1.50/0.99 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 1.50/0.99 thf(cls_conjecture_1, conjecture,
% 1.50/0.99 (c_lessequals @
% 1.50/0.99 ( c_times @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_b @ ( v_x @ V_U ) ) @ t_b ) @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 1.50/0.99 ( c_times @
% 1.50/0.99 V_U @
% 1.50/0.99 ( c_times @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_g @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 1.50/0.99 t_b ) @
% 1.50/0.99 t_b)).
% 1.50/0.99 thf(zf_stmt_1, negated_conjecture,
% 1.50/0.99 (~( c_lessequals @
% 1.50/0.99 ( c_times @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_b @ ( v_x @ V_U ) ) @ t_b ) @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 1.50/0.99 ( c_times @
% 1.50/0.99 V_U @
% 1.50/0.99 ( c_times @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @
% 1.50/0.99 ( c_HOL_Oabs @ ( v_g @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 1.50/0.99 t_b ) @
% 1.50/0.99 t_b )),
% 1.50/0.99 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 1.50/0.99 thf(zip_derived_cl1, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 ~ (c_lessequals @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 1.50/0.99 (c_times @ X0 @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ t_b) @
% 1.50/0.99 t_b) @
% 1.50/0.99 t_b)),
% 1.50/0.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.50/0.99 thf(zip_derived_cl681, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (~ (c_lessequals @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 1.50/0.99 (c_times @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ X0 @ t_b) @
% 1.50/0.99 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 1.50/0.99 t_b)
% 1.50/0.99 | ~ (class_OrderedGroup_Osemigroup__mult @ t_b)
% 1.50/0.99 | ~ (class_OrderedGroup_Oab__semigroup__mult @ t_b))),
% 1.50/0.99 inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl1])).
% 1.50/0.99 thf(clsrel_Ring__and__Field_Oordered__idom_21, axiom,
% 1.50/0.99 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 1.50/0.99 ( class_OrderedGroup_Osemigroup__mult @ T ))).
% 1.50/0.99 thf(zip_derived_cl7, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 1.50/0.99 | (class_OrderedGroup_Osemigroup__mult @ X0))),
% 1.50/0.99 inference('cnf', [status(esa)],
% 1.50/0.99 [clsrel_Ring__and__Field_Oordered__idom_21])).
% 1.50/0.99 thf(tfree_tcs, conjecture,
% 1.50/0.99 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 1.50/0.99 thf(zf_stmt_2, negated_conjecture,
% 1.50/0.99 (class_Ring__and__Field_Oordered__idom @ t_b),
% 1.50/0.99 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 1.50/0.99 thf(zip_derived_cl10, plain,
% 1.50/0.99 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 1.50/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.50/0.99 thf(zip_derived_cl13, plain, ( (class_OrderedGroup_Osemigroup__mult @ t_b)),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl10])).
% 1.50/0.99 thf(clsrel_Ring__and__Field_Oordered__idom_17, axiom,
% 1.50/0.99 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 1.50/0.99 ( class_OrderedGroup_Oab__semigroup__mult @ T ))).
% 1.50/0.99 thf(zip_derived_cl6, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 1.50/0.99 | (class_OrderedGroup_Oab__semigroup__mult @ X0))),
% 1.50/0.99 inference('cnf', [status(esa)],
% 1.50/0.99 [clsrel_Ring__and__Field_Oordered__idom_17])).
% 1.50/0.99 thf(zip_derived_cl10, plain,
% 1.50/0.99 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 1.50/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.50/0.99 thf(zip_derived_cl11, plain,
% 1.50/0.99 ( (class_OrderedGroup_Oab__semigroup__mult @ t_b)),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 1.50/0.99 thf(zip_derived_cl805, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 ~ (c_lessequals @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 1.50/0.99 (c_times @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ X0 @ t_b) @
% 1.50/0.99 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 1.50/0.99 t_b)),
% 1.50/0.99 inference('demod', [status(thm)],
% 1.50/0.99 [zip_derived_cl681, zip_derived_cl13, zip_derived_cl11])).
% 1.50/0.99 thf(zip_derived_cl880, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Oab__semigroup__mult @ t_b)
% 1.50/0.99 | ~ (class_Ring__and__Field_Opordered__semiring @ t_b)
% 1.50/0.99 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ X0 @ t_b) @
% 1.50/0.99 t_b)
% 1.50/0.99 | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 t_b))),
% 1.50/0.99 inference('sup-', [status(thm)], [zip_derived_cl286, zip_derived_cl805])).
% 1.50/0.99 thf(zip_derived_cl11, plain,
% 1.50/0.99 ( (class_OrderedGroup_Oab__semigroup__mult @ t_b)),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 1.50/0.99 thf(clsrel_Ring__and__Field_Oordered__idom_42, axiom,
% 1.50/0.99 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 1.50/0.99 ( class_Ring__and__Field_Opordered__semiring @ T ))).
% 1.50/0.99 thf(zip_derived_cl8, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 1.50/0.99 | (class_Ring__and__Field_Opordered__semiring @ X0))),
% 1.50/0.99 inference('cnf', [status(esa)],
% 1.50/0.99 [clsrel_Ring__and__Field_Oordered__idom_42])).
% 1.50/0.99 thf(zip_derived_cl10, plain,
% 1.50/0.99 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 1.50/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.50/0.99 thf(zip_derived_cl15, plain,
% 1.50/0.99 ( (class_Ring__and__Field_Opordered__semiring @ t_b)),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl10])).
% 1.50/0.99 thf(zip_derived_cl928, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (~ (c_lessequals @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ X0 @ t_b) @
% 1.50/0.99 t_b)
% 1.50/0.99 | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 t_b))),
% 1.50/0.99 inference('demod', [status(thm)],
% 1.50/0.99 [zip_derived_cl880, zip_derived_cl11, zip_derived_cl15])).
% 1.50/0.99 thf(zip_derived_cl930, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 1.50/0.99 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ X0 @ t_b) @
% 1.50/0.99 t_b))),
% 1.50/0.99 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl928])).
% 1.50/0.99 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 1.50/0.99 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 1.50/0.99 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 1.50/0.99 thf(zip_derived_cl9, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 1.50/0.99 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 1.50/0.99 inference('cnf', [status(esa)],
% 1.50/0.99 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 1.50/0.99 thf(zip_derived_cl10, plain,
% 1.50/0.99 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 1.50/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.50/0.99 thf(zip_derived_cl17, plain,
% 1.50/0.99 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_b)),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl10])).
% 1.50/0.99 thf(zip_derived_cl931, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 ~ (c_lessequals @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_times @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ X0 @ t_b) @
% 1.50/0.99 t_b)),
% 1.50/0.99 inference('demod', [status(thm)], [zip_derived_cl930, zip_derived_cl17])).
% 1.50/0.99 thf(zip_derived_cl932, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 (~ (c_lessequals @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_times @ X0 @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ t_b) @
% 1.50/0.99 t_b)
% 1.50/0.99 | ~ (class_OrderedGroup_Oab__semigroup__mult @ t_b))),
% 1.50/0.99 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl931])).
% 1.50/0.99 thf(zip_derived_cl11, plain,
% 1.50/0.99 ( (class_OrderedGroup_Oab__semigroup__mult @ t_b)),
% 1.50/0.99 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 1.50/0.99 thf(zip_derived_cl940, plain,
% 1.50/0.99 (![X0 : $i]:
% 1.50/0.99 ~ (c_lessequals @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 1.50/0.99 (c_times @ X0 @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ t_b) @
% 1.50/0.99 t_b)),
% 1.50/0.99 inference('demod', [status(thm)], [zip_derived_cl932, zip_derived_cl11])).
% 1.50/0.99 thf(zip_derived_cl948, plain, ($false),
% 1.50/0.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl940])).
% 1.50/0.99
% 1.50/0.99 % SZS output end Refutation
% 1.50/0.99
% 1.50/0.99
% 1.50/0.99 % Terminating...
% 1.69/1.05 % Runner terminated.
% 1.69/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------