%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA031-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QquYUEh5x9 true
% Computer : n031.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 04:28:54 PM UTC 2025
% Result : Unsatisfiable 0.61s 0.97s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ANA031-2 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QquYUEh5x9 true
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:23:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.60/0.70 % Total configuration time : 435
% 0.60/0.70 % Estimated wc time : 1092
% 0.60/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.97 % Solved by fo/fo5.sh.
% 0.61/0.97 % done 77 iterations in 0.146s
% 0.61/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.97 % SZS output start Refutation
% 0.61/0.97 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.61/0.97 thf(v_b_type, type, v_b: $i > $i).
% 0.61/0.97 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.61/0.97 thf(class_OrderedGroup_Oab__semigroup__mult_type, type, class_OrderedGroup_Oab__semigroup__mult:
% 0.61/0.97 $i > $o).
% 0.61/0.97 thf(t_b_type, type, t_b: $i).
% 0.61/0.97 thf(v_f_type, type, v_f: $i > $i).
% 0.61/0.97 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 0.61/0.97 $i > $o).
% 0.61/0.97 thf(class_Ring__and__Field_Opordered__semiring_type, type, class_Ring__and__Field_Opordered__semiring:
% 0.61/0.97 $i > $o).
% 0.61/0.97 thf(v_x_type, type, v_x: $i > $i).
% 0.61/0.97 thf(class_OrderedGroup_Osemigroup__mult_type, type, class_OrderedGroup_Osemigroup__mult:
% 0.61/0.97 $i > $o).
% 0.61/0.97 thf(v_c_type, type, v_c: $i).
% 0.61/0.97 thf(c_0_type, type, c_0: $i).
% 0.61/0.97 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.61/0.97 $i > $o).
% 0.61/0.97 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.61/0.97 thf(v_g_type, type, v_g: $i > $i).
% 0.61/0.97 thf(cls_OrderedGroup_Omult__ac__2_0, axiom,
% 0.61/0.97 (( ~( class_OrderedGroup_Oab__semigroup__mult @ T_a ) ) |
% 0.61/0.97 ( ( c_times @ V_a @ V_b @ T_a ) = ( c_times @ V_b @ V_a @ T_a ) ))).
% 0.61/0.97 thf(zip_derived_cl4, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.97 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 0.61/0.97 | ((c_times @ X2 @ X1 @ X0) = (c_times @ X1 @ X2 @ X0)))),
% 0.61/0.97 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__2_0])).
% 0.61/0.97 thf(cls_OrderedGroup_Omult__ac__1_0, axiom,
% 0.61/0.97 (( ~( class_OrderedGroup_Osemigroup__mult @ T_a ) ) |
% 0.61/0.97 ( ( c_times @ ( c_times @ V_a @ V_b @ T_a ) @ V_c @ T_a ) =
% 0.61/0.97 ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a ) ))).
% 0.61/0.97 thf(zip_derived_cl3, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/0.97 (~ (class_OrderedGroup_Osemigroup__mult @ X0)
% 0.61/0.97 | ((c_times @ (c_times @ X1 @ X2 @ X0) @ X3 @ X0)
% 0.61/0.97 = (c_times @ X1 @ (c_times @ X2 @ X3 @ X0) @ X0)))),
% 0.61/0.97 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__1_0])).
% 0.61/0.97 thf(zip_derived_cl27, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/0.97 (((c_times @ X3 @ (c_times @ X2 @ X1 @ X0) @ X0)
% 0.61/0.97 = (c_times @ X2 @ (c_times @ X1 @ X3 @ X0) @ X0))
% 0.61/0.97 | ~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 0.61/0.97 | ~ (class_OrderedGroup_Osemigroup__mult @ X0))),
% 0.61/0.97 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.61/0.97 thf(zip_derived_cl4, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.97 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 0.61/0.97 | ((c_times @ X2 @ X1 @ X0) = (c_times @ X1 @ X2 @ X0)))),
% 0.61/0.97 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__2_0])).
% 0.61/0.97 thf(cls_conjecture_0, conjecture,
% 0.61/0.97 (~( c_lessequals @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_b @ V_U ) @ t_b ) @
% 0.61/0.97 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_g @ V_U ) @ t_b ) @ t_b ) @ t_b ))).
% 0.61/0.97 thf(zf_stmt_0, negated_conjecture,
% 0.61/0.97 (c_lessequals @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_b @ V_U ) @ t_b ) @
% 0.61/0.97 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_g @ V_U ) @ t_b ) @ t_b ) @ t_b),
% 0.61/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.61/0.97 thf(zip_derived_cl0, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (c_lessequals @ (c_HOL_Oabs @ (v_b @ X0) @ t_b) @
% 0.61/0.97 (c_times @ v_c @ (c_HOL_Oabs @ (v_g @ X0) @ t_b) @ t_b) @ t_b)),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/0.97 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 0.61/0.97 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 0.61/0.97 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 0.61/0.97 thf(zip_derived_cl2, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i]:
% 0.61/0.97 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.61/0.97 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.61/0.97 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 0.61/0.97 thf(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0, axiom,
% 0.61/0.97 (( ~( class_Ring__and__Field_Opordered__semiring @ T_a ) ) |
% 0.61/0.97 ( ~( c_lessequals @ V_a @ V_b @ T_a ) ) |
% 0.61/0.97 ( ~( c_lessequals @ c_0 @ V_c @ T_a ) ) |
% 0.61/0.97 ( c_lessequals @
% 0.61/0.97 ( c_times @ V_c @ V_a @ T_a ) @ ( c_times @ V_c @ V_b @ T_a ) @ T_a ))).
% 0.61/0.97 thf(zip_derived_cl5, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/0.97 (~ (class_Ring__and__Field_Opordered__semiring @ X0)
% 0.61/0.97 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 0.61/0.97 | ~ (c_lessequals @ c_0 @ X3 @ X0)
% 0.61/0.97 | (c_lessequals @ (c_times @ X3 @ X1 @ X0) @
% 0.61/0.97 (c_times @ X3 @ X2 @ X0) @ X0))),
% 0.61/0.97 inference('cnf', [status(esa)],
% 0.61/0.97 [cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0])).
% 0.61/0.97 thf(zip_derived_cl23, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/0.97 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.61/0.97 | (c_lessequals @ (c_times @ (c_HOL_Oabs @ X1 @ X0) @ X3 @ X0) @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ X1 @ X0) @ X2 @ X0) @ X0)
% 0.61/0.97 | ~ (c_lessequals @ X3 @ X2 @ X0)
% 0.61/0.97 | ~ (class_Ring__and__Field_Opordered__semiring @ X0))),
% 0.61/0.97 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 0.61/0.97 thf(zip_derived_cl144, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i]:
% 0.61/0.97 (~ (class_Ring__and__Field_Opordered__semiring @ t_b)
% 0.61/0.97 | (c_lessequals @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ X1 @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ (v_b @ X0) @ t_b) @ t_b) @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ X1 @ t_b) @
% 0.61/0.97 (c_times @ v_c @ (c_HOL_Oabs @ (v_g @ X0) @ t_b) @ t_b) @ t_b) @
% 0.61/0.97 t_b)
% 0.61/0.97 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b))),
% 0.61/0.97 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 0.61/0.97 thf(clsrel_Ring__and__Field_Oordered__idom_42, axiom,
% 0.61/0.97 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.61/0.97 ( class_Ring__and__Field_Opordered__semiring @ T ))).
% 0.61/0.97 thf(zip_derived_cl8, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.61/0.97 | (class_Ring__and__Field_Opordered__semiring @ X0))),
% 0.61/0.97 inference('cnf', [status(esa)],
% 0.61/0.97 [clsrel_Ring__and__Field_Oordered__idom_42])).
% 0.61/0.97 thf(tfree_tcs, conjecture,
% 0.61/0.97 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 0.61/0.97 thf(zf_stmt_1, negated_conjecture,
% 0.61/0.97 (class_Ring__and__Field_Oordered__idom @ t_b),
% 0.61/0.97 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.61/0.97 thf(zip_derived_cl10, plain,
% 0.61/0.97 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.61/0.97 thf(zip_derived_cl15, plain,
% 0.61/0.97 ( (class_Ring__and__Field_Opordered__semiring @ t_b)),
% 0.61/0.97 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl10])).
% 0.61/0.97 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 0.61/0.97 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.61/0.97 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 0.61/0.97 thf(zip_derived_cl9, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.61/0.97 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.61/0.97 inference('cnf', [status(esa)],
% 0.61/0.97 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.61/0.97 thf(zip_derived_cl10, plain,
% 0.61/0.97 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.61/0.97 thf(zip_derived_cl17, plain,
% 0.61/0.97 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_b)),
% 0.61/0.97 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl10])).
% 0.61/0.97 thf(zip_derived_cl146, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i]:
% 0.61/0.97 (c_lessequals @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ X1 @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ (v_b @ X0) @ t_b) @ t_b) @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ X1 @ t_b) @
% 0.61/0.97 (c_times @ v_c @ (c_HOL_Oabs @ (v_g @ X0) @ t_b) @ t_b) @ t_b) @
% 0.61/0.97 t_b)),
% 0.61/0.97 inference('demod', [status(thm)],
% 0.61/0.97 [zip_derived_cl144, zip_derived_cl15, zip_derived_cl17])).
% 0.61/0.97 thf(zip_derived_cl151, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i]:
% 0.61/0.97 ( (c_lessequals @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_b @ X1) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ X0 @ t_b) @ t_b) @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ X0 @ t_b) @
% 0.61/0.97 (c_times @ v_c @ (c_HOL_Oabs @ (v_g @ X1) @ t_b) @ t_b) @ t_b) @
% 0.61/0.97 t_b)
% 0.61/0.97 | ~ (class_OrderedGroup_Oab__semigroup__mult @ t_b))),
% 0.61/0.97 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl146])).
% 0.61/0.97 thf(clsrel_Ring__and__Field_Oordered__idom_17, axiom,
% 0.61/0.97 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.61/0.97 ( class_OrderedGroup_Oab__semigroup__mult @ T ))).
% 0.61/0.97 thf(zip_derived_cl6, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.61/0.97 | (class_OrderedGroup_Oab__semigroup__mult @ X0))),
% 0.61/0.97 inference('cnf', [status(esa)],
% 0.61/0.97 [clsrel_Ring__and__Field_Oordered__idom_17])).
% 0.61/0.97 thf(zip_derived_cl10, plain,
% 0.61/0.97 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.61/0.97 thf(zip_derived_cl11, plain,
% 0.61/0.97 ( (class_OrderedGroup_Oab__semigroup__mult @ t_b)),
% 0.61/0.97 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 0.61/0.97 thf(zip_derived_cl155, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i]:
% 0.61/0.97 (c_lessequals @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_b @ X1) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ X0 @ t_b) @ t_b) @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ X0 @ t_b) @
% 0.61/0.97 (c_times @ v_c @ (c_HOL_Oabs @ (v_g @ X1) @ t_b) @ t_b) @ t_b) @
% 0.61/0.97 t_b)),
% 0.61/0.97 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl11])).
% 0.61/0.97 thf(zip_derived_cl544, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i]:
% 0.61/0.97 ( (c_lessequals @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_b @ X1) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ X0 @ t_b) @ t_b) @
% 0.61/0.97 (c_times @ v_c @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_g @ X1) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ X0 @ t_b) @ t_b) @
% 0.61/0.97 t_b) @
% 0.61/0.97 t_b)
% 0.61/0.97 | ~ (class_OrderedGroup_Osemigroup__mult @ t_b)
% 0.61/0.97 | ~ (class_OrderedGroup_Oab__semigroup__mult @ t_b))),
% 0.61/0.97 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl155])).
% 0.61/0.97 thf(clsrel_Ring__and__Field_Oordered__idom_21, axiom,
% 0.61/0.97 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.61/0.97 ( class_OrderedGroup_Osemigroup__mult @ T ))).
% 0.61/0.97 thf(zip_derived_cl7, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.61/0.97 | (class_OrderedGroup_Osemigroup__mult @ X0))),
% 0.61/0.97 inference('cnf', [status(esa)],
% 0.61/0.97 [clsrel_Ring__and__Field_Oordered__idom_21])).
% 0.61/0.97 thf(zip_derived_cl10, plain,
% 0.61/0.97 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.61/0.97 thf(zip_derived_cl13, plain, ( (class_OrderedGroup_Osemigroup__mult @ t_b)),
% 0.61/0.97 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl10])).
% 0.61/0.97 thf(zip_derived_cl11, plain,
% 0.61/0.97 ( (class_OrderedGroup_Oab__semigroup__mult @ t_b)),
% 0.61/0.97 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 0.61/0.97 thf(zip_derived_cl554, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i]:
% 0.61/0.97 (c_lessequals @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_b @ X1) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ X0 @ t_b) @ t_b) @
% 0.61/0.97 (c_times @ v_c @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_g @ X1) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ X0 @ t_b) @ t_b) @
% 0.61/0.97 t_b) @
% 0.61/0.97 t_b)),
% 0.61/0.97 inference('demod', [status(thm)],
% 0.61/0.97 [zip_derived_cl544, zip_derived_cl13, zip_derived_cl11])).
% 0.61/0.97 thf(zip_derived_cl4, plain,
% 0.61/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/0.97 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 0.61/0.97 | ((c_times @ X2 @ X1 @ X0) = (c_times @ X1 @ X2 @ X0)))),
% 0.61/0.97 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__2_0])).
% 0.61/0.97 thf(cls_conjecture_1, conjecture,
% 0.61/0.97 (c_lessequals @
% 0.61/0.97 ( c_times @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_b @ ( v_x @ V_U ) ) @ t_b ) @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.61/0.97 ( c_times @
% 0.61/0.97 V_U @
% 0.61/0.97 ( c_times @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_g @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.61/0.97 t_b ) @
% 0.61/0.97 t_b)).
% 0.61/0.97 thf(zf_stmt_2, negated_conjecture,
% 0.61/0.97 (~( c_lessequals @
% 0.61/0.97 ( c_times @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_b @ ( v_x @ V_U ) ) @ t_b ) @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.61/0.97 ( c_times @
% 0.61/0.97 V_U @
% 0.61/0.97 ( c_times @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @
% 0.61/0.97 ( c_HOL_Oabs @ ( v_g @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.61/0.97 t_b ) @
% 0.61/0.97 t_b )),
% 0.61/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.61/0.97 thf(zip_derived_cl1, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 ~ (c_lessequals @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 0.61/0.97 (c_times @ X0 @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ t_b) @
% 0.61/0.97 t_b) @
% 0.61/0.97 t_b)),
% 0.61/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.61/0.97 thf(zip_derived_cl19, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 (~ (c_lessequals @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 0.61/0.97 (c_times @ X0 @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 0.61/0.97 t_b) @
% 0.61/0.97 t_b)
% 0.61/0.97 | ~ (class_OrderedGroup_Oab__semigroup__mult @ t_b))),
% 0.61/0.97 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 0.61/0.97 thf(zip_derived_cl11, plain,
% 0.61/0.97 ( (class_OrderedGroup_Oab__semigroup__mult @ t_b)),
% 0.61/0.97 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 0.61/0.97 thf(zip_derived_cl21, plain,
% 0.61/0.97 (![X0 : $i]:
% 0.61/0.97 ~ (c_lessequals @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_b @ (v_x @ X0)) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 0.61/0.97 (c_times @ X0 @
% 0.61/0.97 (c_times @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @
% 0.61/0.97 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 0.61/0.97 t_b) @
% 0.61/0.97 t_b)),
% 0.61/0.97 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl11])).
% 0.61/0.97 thf(zip_derived_cl875, plain, ($false),
% 0.61/0.97 inference('sup-', [status(thm)], [zip_derived_cl554, zip_derived_cl21])).
% 0.61/0.97
% 0.61/0.97 % SZS output end Refutation
% 0.61/0.97
% 0.61/0.97
% 0.61/0.97 % Terminating...
% 1.84/1.08 % Runner terminated.
% 1.84/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------