TSTP Solution File: ANA030-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA030-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lKOfVC70pH true
% Computer : n026.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 17:26:01 EDT 2023
% Result : Unsatisfiable 0.90s 0.89s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA030-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lKOfVC70pH true
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8042.1875MB
% 0.08/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Aug 25 18:55:03 EDT 2023
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Running portfolio for 300 s
% 0.08/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Number of cores: 8
% 0.08/0.36 % Python version: Python 3.6.8
% 0.08/0.36 % Running in FO mode
% 0.14/0.61 % Total configuration time : 435
% 0.14/0.61 % Estimated wc time : 1092
% 0.14/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.90/0.89 % Solved by fo/fo6_bce.sh.
% 0.90/0.89 % BCE start: 16
% 0.90/0.89 % BCE eliminated: 0
% 0.90/0.89 % PE start: 16
% 0.90/0.89 logic: eq
% 0.90/0.89 % PE eliminated: 5
% 0.90/0.89 % done 32 iterations in 0.030s
% 0.90/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.90/0.89 % SZS output start Refutation
% 0.90/0.89 thf(c_Orderings_Omax_type, type, c_Orderings_Omax: $i > $i > $i > $i).
% 0.90/0.89 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.90/0.89 thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $o).
% 0.90/0.89 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.90/0.89 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 0.90/0.89 $i > $o).
% 0.90/0.89 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.90/0.89 thf(v_f_type, type, v_f: $i > $i).
% 0.90/0.89 thf(c_0_type, type, c_0: $i).
% 0.90/0.89 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.90/0.89 $i > $o).
% 0.90/0.89 thf(c_plus_type, type, c_plus: $i > $i > $i > $i).
% 0.90/0.89 thf(t_b_type, type, t_b: $i).
% 0.90/0.89 thf(v_h_type, type, v_h: $i > $i).
% 0.90/0.89 thf(v_x_type, type, v_x: $i > $i).
% 0.90/0.89 thf(v_g_type, type, v_g: $i > $i).
% 0.90/0.89 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 0.90/0.89 $i > $o).
% 0.90/0.89 thf(v_c_type, type, v_c: $i).
% 0.90/0.89 thf(c_uminus_type, type, c_uminus: $i > $i > $i).
% 0.90/0.89 thf(class_OrderedGroup_Opordered__ab__group__add_type, type, class_OrderedGroup_Opordered__ab__group__add:
% 0.90/0.89 $i > $o).
% 0.90/0.89 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.90/0.89 thf(tfree_tcs, conjecture,
% 0.90/0.89 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 0.90/0.89 thf(zf_stmt_0, negated_conjecture,
% 0.90/0.89 (class_Ring__and__Field_Oordered__idom @ t_b),
% 0.90/0.89 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.90/0.89 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.89 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 0.90/0.89 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.90/0.89 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 0.90/0.89 thf(zip_derived_cl15, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.90/0.89 thf(cls_OrderedGroup_Oabs__of__nonneg_0, axiom,
% 0.90/0.89 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 0.90/0.89 ( ~( c_lessequals @ c_0 @ V_y @ T_a ) ) |
% 0.90/0.89 ( ( c_HOL_Oabs @ V_y @ T_a ) = ( V_y ) ))).
% 0.90/0.89 thf(zip_derived_cl3, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.90/0.89 | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 0.90/0.89 | ((c_HOL_Oabs @ X1 @ X0) = (X1)))),
% 0.90/0.89 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__of__nonneg_0])).
% 0.90/0.89 thf(zip_derived_cl71, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | ((c_HOL_Oabs @ X1 @ X0) = (X1))
% 0.90/0.89 | ~ (c_lessequals @ c_0 @ X1 @ X0))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl15, zip_derived_cl3])).
% 0.90/0.89 thf(zip_derived_cl80, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (c_lessequals @ c_0 @ X0 @ t_b) | ((c_HOL_Oabs @ X0 @ t_b) = (X0)))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl71])).
% 0.90/0.89 thf(cls_conjecture_1, conjecture,
% 0.90/0.89 (~( c_lessequals @
% 0.90/0.89 ( c_HOL_Oabs @
% 0.90/0.89 ( c_Orderings_Omax @
% 0.90/0.89 ( c_minus @ ( v_f @ V_U ) @ ( v_g @ V_U ) @ t_b ) @ c_0 @ t_b ) @
% 0.90/0.89 t_b ) @
% 0.90/0.89 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ V_U ) @ t_b ) @ t_b ) @ t_b ))).
% 0.90/0.89 thf(zf_stmt_1, negated_conjecture,
% 0.90/0.89 (c_lessequals @
% 0.90/0.89 ( c_HOL_Oabs @
% 0.90/0.89 ( c_Orderings_Omax @
% 0.90/0.89 ( c_minus @ ( v_f @ V_U ) @ ( v_g @ V_U ) @ t_b ) @ c_0 @ t_b ) @
% 0.90/0.89 t_b ) @
% 0.90/0.89 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ V_U ) @ t_b ) @ t_b ) @ t_b),
% 0.90/0.89 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.90/0.89 thf(zip_derived_cl0, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (c_lessequals @
% 0.90/0.89 (c_HOL_Oabs @
% 0.90/0.89 (c_Orderings_Omax @ (c_minus @ (v_f @ X0) @ (v_g @ X0) @ t_b) @
% 0.90/0.89 c_0 @ t_b) @
% 0.90/0.89 t_b) @
% 0.90/0.89 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ X0) @ t_b) @ t_b) @ t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/0.89 thf(zip_derived_cl89, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (c_lessequals @ c_0 @
% 0.90/0.89 (c_Orderings_Omax @ (c_minus @ (v_f @ X0) @ (v_g @ X0) @ t_b) @
% 0.90/0.89 c_0 @ t_b) @
% 0.90/0.89 t_b)
% 0.90/0.89 | (c_lessequals @
% 0.90/0.89 (c_Orderings_Omax @ (c_minus @ (v_f @ X0) @ (v_g @ X0) @ t_b) @
% 0.90/0.89 c_0 @ t_b) @
% 0.90/0.89 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ X0) @ t_b) @ t_b) @ t_b))),
% 0.90/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl0])).
% 0.90/0.89 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.89 thf(clsrel_Ring__and__Field_Oordered__idom_33, axiom,
% 0.90/0.89 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.90/0.89 ( class_Orderings_Olinorder @ T ))).
% 0.90/0.89 thf(zip_derived_cl13, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (class_Orderings_Olinorder @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 0.90/0.89 thf(cls_Orderings_Ole__maxI2_0, axiom,
% 0.90/0.89 (( ~( class_Orderings_Olinorder @ T_b ) ) |
% 0.90/0.89 ( c_lessequals @ V_y @ ( c_Orderings_Omax @ V_x @ V_y @ T_b ) @ T_b ))).
% 0.90/0.89 thf(zip_derived_cl10, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 (~ (class_Orderings_Olinorder @ X0)
% 0.90/0.89 | (c_lessequals @ X1 @ (c_Orderings_Omax @ X2 @ X1 @ X0) @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)], [cls_Orderings_Ole__maxI2_0])).
% 0.90/0.89 thf(zip_derived_cl69, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (c_lessequals @ X1 @ (c_Orderings_Omax @ X2 @ X1 @ X0) @ X0))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl13, zip_derived_cl10])).
% 0.90/0.89 thf(zip_derived_cl78, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (c_lessequals @ X0 @ (c_Orderings_Omax @ X1 @ X0 @ t_b) @ t_b)),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl69])).
% 0.90/0.89 thf(zip_derived_cl92, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (c_lessequals @
% 0.90/0.89 (c_Orderings_Omax @ (c_minus @ (v_f @ X0) @ (v_g @ X0) @ t_b) @
% 0.90/0.89 c_0 @ t_b) @
% 0.90/0.89 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ X0) @ t_b) @ t_b) @ t_b)),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl78])).
% 0.90/0.89 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.89 thf(zip_derived_cl13, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (class_Orderings_Olinorder @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 0.90/0.89 thf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0, axiom,
% 0.90/0.89 (( ~( class_Orderings_Olinorder @ T_b ) ) |
% 0.90/0.89 ( ~( c_lessequals @ ( c_Orderings_Omax @ V_x @ V_y @ T_b ) @ V_z @ T_b ) ) |
% 0.90/0.89 ( c_lessequals @ V_x @ V_z @ T_b ))).
% 0.90/0.89 thf(zip_derived_cl11, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/0.89 (~ (class_Orderings_Olinorder @ X0)
% 0.90/0.89 | ~ (c_lessequals @ (c_Orderings_Omax @ X1 @ X2 @ X0) @ X3 @ X0)
% 0.90/0.89 | (c_lessequals @ X1 @ X3 @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0])).
% 0.90/0.89 thf(zip_derived_cl70, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (c_lessequals @ X3 @ X1 @ X0)
% 0.90/0.89 | ~ (c_lessequals @ (c_Orderings_Omax @ X3 @ X2 @ X0) @ X1 @ X0))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl13, zip_derived_cl11])).
% 0.90/0.89 thf(zip_derived_cl79, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 (~ (c_lessequals @ (c_Orderings_Omax @ X1 @ X2 @ t_b) @ X0 @ t_b)
% 0.90/0.89 | (c_lessequals @ X1 @ X0 @ t_b))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl70])).
% 0.90/0.89 thf(zip_derived_cl109, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (c_lessequals @ (c_minus @ (v_f @ X0) @ (v_g @ X0) @ t_b) @
% 0.90/0.89 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ X0) @ t_b) @ t_b) @ t_b)),
% 0.90/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl79])).
% 0.90/0.89 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.89 thf(zip_derived_cl15, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.90/0.89 thf(clsrel_OrderedGroup_Olordered__ab__group__abs_1, axiom,
% 0.90/0.89 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T ) ) |
% 0.90/0.89 ( class_OrderedGroup_Opordered__ab__group__add @ T ))).
% 0.90/0.89 thf(zip_derived_cl12, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.90/0.89 | (class_OrderedGroup_Opordered__ab__group__add @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [clsrel_OrderedGroup_Olordered__ab__group__abs_1])).
% 0.90/0.89 thf(cls_OrderedGroup_Ocompare__rls__8_0, axiom,
% 0.90/0.89 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 0.90/0.89 ( ~( c_lessequals @ ( c_minus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) ) |
% 0.90/0.89 ( c_lessequals @ V_a @ ( c_plus @ V_c @ V_b @ T_a ) @ T_a ))).
% 0.90/0.89 thf(zip_derived_cl5, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/0.89 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 0.90/0.89 | ~ (c_lessequals @ (c_minus @ X1 @ X2 @ X0) @ X3 @ X0)
% 0.90/0.89 | (c_lessequals @ X1 @ (c_plus @ X3 @ X2 @ X0) @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__8_0])).
% 0.90/0.89 thf(zip_derived_cl68, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/0.89 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.90/0.89 | (c_lessequals @ X3 @ (c_plus @ X1 @ X2 @ X0) @ X0)
% 0.90/0.89 | ~ (c_lessequals @ (c_minus @ X3 @ X2 @ X0) @ X1 @ X0))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl12, zip_derived_cl5])).
% 0.90/0.89 thf(zip_derived_cl72, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | ~ (c_lessequals @ (c_minus @ X3 @ X1 @ X0) @ X2 @ X0)
% 0.90/0.89 | (c_lessequals @ X3 @ (c_plus @ X2 @ X1 @ X0) @ X0))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl15, zip_derived_cl68])).
% 0.90/0.89 thf(zip_derived_cl81, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 ( (c_lessequals @ X2 @ (c_plus @ X0 @ X1 @ t_b) @ t_b)
% 0.90/0.89 | ~ (c_lessequals @ (c_minus @ X2 @ X1 @ t_b) @ X0 @ t_b))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl72])).
% 0.90/0.89 thf(zip_derived_cl111, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (c_lessequals @ (v_f @ X0) @
% 0.90/0.89 (c_plus @ (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ X0) @ t_b) @ t_b) @
% 0.90/0.89 (v_g @ X0) @ t_b) @
% 0.90/0.89 t_b)),
% 0.90/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl81])).
% 0.90/0.89 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.89 thf(clsrel_Ring__and__Field_Oordered__idom_4, axiom,
% 0.90/0.89 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.90/0.89 ( class_OrderedGroup_Oab__group__add @ T ))).
% 0.90/0.89 thf(zip_derived_cl14, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (class_OrderedGroup_Oab__group__add @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 0.90/0.89 thf(cls_OrderedGroup_Ominus__minus_0, axiom,
% 0.90/0.89 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 0.90/0.89 ( ( c_uminus @ ( c_uminus @ V_y @ T_a ) @ T_a ) = ( V_y ) ))).
% 0.90/0.89 thf(zip_derived_cl9, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.90/0.89 | ((c_uminus @ (c_uminus @ X1 @ X0) @ X0) = (X1)))),
% 0.90/0.89 inference('cnf', [status(esa)], [cls_OrderedGroup_Ominus__minus_0])).
% 0.90/0.89 thf(zip_derived_cl77, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | ((c_uminus @ (c_uminus @ X1 @ X0) @ X0) = (X1)))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl14, zip_derived_cl9])).
% 0.90/0.89 thf(zip_derived_cl86, plain,
% 0.90/0.89 (![X0 : $i]: ((c_uminus @ (c_uminus @ X0 @ t_b) @ t_b) = (X0))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl77])).
% 0.90/0.89 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.89 thf(zip_derived_cl14, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (class_OrderedGroup_Oab__group__add @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 0.90/0.89 thf(cls_OrderedGroup_Ocompare__rls__1_0, axiom,
% 0.90/0.89 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 0.90/0.89 ( ( c_plus @ V_a @ ( c_uminus @ V_b @ T_a ) @ T_a ) =
% 0.90/0.89 ( c_minus @ V_a @ V_b @ T_a ) ))).
% 0.90/0.89 thf(zip_derived_cl4, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.90/0.89 | ((c_plus @ X1 @ (c_uminus @ X2 @ X0) @ X0)
% 0.90/0.89 = (c_minus @ X1 @ X2 @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__1_0])).
% 0.90/0.89 thf(zip_derived_cl73, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | ((c_plus @ X2 @ (c_uminus @ X1 @ X0) @ X0)
% 0.90/0.89 = (c_minus @ X2 @ X1 @ X0)))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl14, zip_derived_cl4])).
% 0.90/0.89 thf(zip_derived_cl82, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_plus @ X1 @ (c_uminus @ X0 @ t_b) @ t_b)
% 0.90/0.89 = (c_minus @ X1 @ X0 @ t_b))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl73])).
% 0.90/0.89 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.89 thf(zip_derived_cl14, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (class_OrderedGroup_Oab__group__add @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 0.90/0.89 thf(cls_OrderedGroup_Ominus__add__distrib_0, axiom,
% 0.90/0.89 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 0.90/0.89 ( ( c_uminus @ ( c_plus @ V_a @ V_b @ T_a ) @ T_a ) =
% 0.90/0.89 ( c_plus @ ( c_uminus @ V_a @ T_a ) @ ( c_uminus @ V_b @ T_a ) @ T_a ) ))).
% 0.90/0.89 thf(zip_derived_cl7, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.90/0.89 | ((c_uminus @ (c_plus @ X1 @ X2 @ X0) @ X0)
% 0.90/0.89 = (c_plus @ (c_uminus @ X1 @ X0) @ (c_uminus @ X2 @ X0) @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [cls_OrderedGroup_Ominus__add__distrib_0])).
% 0.90/0.89 thf(zip_derived_cl75, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | ((c_uminus @ (c_plus @ X2 @ X1 @ X0) @ X0)
% 0.90/0.89 = (c_plus @ (c_uminus @ X2 @ X0) @ (c_uminus @ X1 @ X0) @ X0)))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl14, zip_derived_cl7])).
% 0.90/0.89 thf(zip_derived_cl84, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_uminus @ (c_plus @ X1 @ X0 @ t_b) @ t_b)
% 0.90/0.89 = (c_plus @ (c_uminus @ X1 @ t_b) @ (c_uminus @ X0 @ t_b) @ t_b))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl75])).
% 0.90/0.89 thf(zip_derived_cl82, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_plus @ X1 @ (c_uminus @ X0 @ t_b) @ t_b)
% 0.90/0.89 = (c_minus @ X1 @ X0 @ t_b))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl73])).
% 0.90/0.89 thf(zip_derived_cl99, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_uminus @ (c_plus @ X1 @ X0 @ t_b) @ t_b)
% 0.90/0.89 = (c_minus @ (c_uminus @ X1 @ t_b) @ X0 @ t_b))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl82])).
% 0.90/0.89 thf(zip_derived_cl103, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_uminus @ (c_minus @ X1 @ X0 @ t_b) @ t_b)
% 0.90/0.89 = (c_minus @ (c_uminus @ X1 @ t_b) @ (c_uminus @ X0 @ t_b) @ t_b))),
% 0.90/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl99])).
% 0.90/0.89 thf(zip_derived_cl86, plain,
% 0.90/0.89 (![X0 : $i]: ((c_uminus @ (c_uminus @ X0 @ t_b) @ t_b) = (X0))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl77])).
% 0.90/0.89 thf(zip_derived_cl82, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_plus @ X1 @ (c_uminus @ X0 @ t_b) @ t_b)
% 0.90/0.89 = (c_minus @ X1 @ X0 @ t_b))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl73])).
% 0.90/0.89 thf(zip_derived_cl94, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_plus @ X1 @ X0 @ t_b)
% 0.90/0.89 = (c_minus @ X1 @ (c_uminus @ X0 @ t_b) @ t_b))),
% 0.90/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl82])).
% 0.90/0.89 thf(zip_derived_cl104, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_uminus @ (c_minus @ X1 @ X0 @ t_b) @ t_b)
% 0.90/0.89 = (c_plus @ (c_uminus @ X1 @ t_b) @ X0 @ t_b))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl94])).
% 0.90/0.89 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.89 thf(zip_derived_cl14, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | (class_OrderedGroup_Oab__group__add @ X0))),
% 0.90/0.89 inference('cnf', [status(esa)],
% 0.90/0.89 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 0.90/0.89 thf(cls_OrderedGroup_Ominus__diff__eq_0, axiom,
% 0.90/0.89 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 0.90/0.89 ( ( c_uminus @ ( c_minus @ V_a @ V_b @ T_a ) @ T_a ) =
% 0.90/0.89 ( c_minus @ V_b @ V_a @ T_a ) ))).
% 0.90/0.89 thf(zip_derived_cl8, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.90/0.89 | ((c_uminus @ (c_minus @ X2 @ X1 @ X0) @ X0)
% 0.90/0.89 = (c_minus @ X1 @ X2 @ X0)))),
% 0.90/0.89 inference('cnf', [status(esa)], [cls_OrderedGroup_Ominus__diff__eq_0])).
% 0.90/0.89 thf(zip_derived_cl76, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.90/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.90/0.89 | ((c_uminus @ (c_minus @ X2 @ X1 @ X0) @ X0)
% 0.90/0.89 = (c_minus @ X1 @ X2 @ X0)))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl14, zip_derived_cl8])).
% 0.90/0.89 thf(zip_derived_cl85, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_uminus @ (c_minus @ X1 @ X0 @ t_b) @ t_b)
% 0.90/0.89 = (c_minus @ X0 @ X1 @ t_b))),
% 0.90/0.89 inference('dp-resolution', [status(thm)],
% 0.90/0.89 [zip_derived_cl2, zip_derived_cl76])).
% 0.90/0.89 thf(zip_derived_cl115, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_minus @ X0 @ X1 @ t_b)
% 0.90/0.89 = (c_plus @ (c_uminus @ X1 @ t_b) @ X0 @ t_b))),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl85])).
% 0.90/0.89 thf(zip_derived_cl120, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_minus @ X1 @ (c_uminus @ X0 @ t_b) @ t_b)
% 0.90/0.89 = (c_plus @ X0 @ X1 @ t_b))),
% 0.90/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl115])).
% 0.90/0.89 thf(zip_derived_cl94, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_plus @ X1 @ X0 @ t_b)
% 0.90/0.89 = (c_minus @ X1 @ (c_uminus @ X0 @ t_b) @ t_b))),
% 0.90/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl82])).
% 0.90/0.89 thf(zip_derived_cl124, plain,
% 0.90/0.89 (![X0 : $i, X1 : $i]:
% 0.90/0.89 ((c_plus @ X0 @ X1 @ t_b) = (c_plus @ X1 @ X0 @ t_b))),
% 0.90/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl94])).
% 0.90/0.89 thf(zip_derived_cl191, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 (c_lessequals @ (v_f @ X0) @
% 0.90/0.89 (c_plus @ (v_g @ X0) @
% 0.90/0.89 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ X0) @ t_b) @ t_b) @ t_b) @
% 0.90/0.89 t_b)),
% 0.90/0.89 inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl124])).
% 0.90/0.89 thf(cls_conjecture_2, conjecture,
% 0.90/0.89 (c_lessequals @
% 0.90/0.89 ( v_f @ ( v_x @ V_U ) ) @
% 0.90/0.89 ( c_plus @
% 0.90/0.89 ( v_g @ ( v_x @ V_U ) ) @
% 0.90/0.89 ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_h @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.90/0.89 t_b ) @
% 0.90/0.89 t_b)).
% 0.90/0.89 thf(zf_stmt_2, negated_conjecture,
% 0.90/0.89 (~( c_lessequals @
% 0.90/0.89 ( v_f @ ( v_x @ V_U ) ) @
% 0.90/0.89 ( c_plus @
% 0.90/0.89 ( v_g @ ( v_x @ V_U ) ) @
% 0.90/0.89 ( c_times @
% 0.90/0.89 V_U @ ( c_HOL_Oabs @ ( v_h @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.90/0.89 t_b ) @
% 0.90/0.89 t_b )),
% 0.90/0.89 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.90/0.89 thf(zip_derived_cl1, plain,
% 0.90/0.89 (![X0 : $i]:
% 0.90/0.89 ~ (c_lessequals @ (v_f @ (v_x @ X0)) @
% 0.90/0.89 (c_plus @ (v_g @ (v_x @ X0)) @
% 0.90/0.89 (c_times @ X0 @ (c_HOL_Oabs @ (v_h @ (v_x @ X0)) @ t_b) @ t_b) @
% 0.90/0.89 t_b) @
% 0.90/0.89 t_b)),
% 0.90/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.90/0.89 thf(zip_derived_cl192, plain, ($false),
% 0.90/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl1])).
% 0.90/0.89
% 0.90/0.89 % SZS output end Refutation
% 0.90/0.89
% 0.90/0.89
% 0.90/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.90 % Terminating...
% 1.08/1.09 % Runner terminated.
% 1.08/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------