TSTP Solution File: ANA019-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA019-2 : 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.NDyuzg8GDp true
% Computer : n032.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 17:25:56 EDT 2023
% Result : Unsatisfiable 0.14s 0.59s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ANA019-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NDyuzg8GDp true
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri Aug 25 18:11:13 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Running portfolio for 300 s
% 0.10/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.29 % Number of cores: 8
% 0.10/0.29 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.14/0.50 % Total configuration time : 435
% 0.14/0.50 % Estimated wc time : 1092
% 0.14/0.50 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.59 % Solved by fo/fo6_bce.sh.
% 0.14/0.59 % BCE start: 15
% 0.14/0.59 % BCE eliminated: 0
% 0.14/0.59 % PE start: 15
% 0.14/0.59 logic: eq
% 0.14/0.59 % PE eliminated: 4
% 0.14/0.59 % done 18 iterations in 0.013s
% 0.14/0.59 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.14/0.59 % SZS output start Refutation
% 0.14/0.59 thf(t_a_type, type, t_a: $i).
% 0.14/0.59 thf(c_1_type, type, c_1: $i).
% 0.14/0.59 thf(c_0_type, type, c_0: $i).
% 0.14/0.59 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.14/0.59 thf(v_x_type, type, v_x: $i).
% 0.14/0.59 thf(class_LOrder_Ojoin__semilorder_type, type, class_LOrder_Ojoin__semilorder:
% 0.14/0.59 $i > $o).
% 0.14/0.59 thf(tc_nat_type, type, tc_nat: $i).
% 0.14/0.59 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.14/0.59 thf(v_f_type, type, v_f: $i > $i).
% 0.14/0.59 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 0.14/0.59 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 0.14/0.59 thf(class_Ring__and__Field_Opordered__cancel__semiring_type, type, class_Ring__and__Field_Opordered__cancel__semiring:
% 0.14/0.59 $i > $o).
% 0.14/0.59 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.14/0.59 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.14/0.59 $i > $o).
% 0.14/0.59 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 0.14/0.59 $i > $o).
% 0.14/0.59 thf(v_xa_type, type, v_xa: $i > $i).
% 0.14/0.59 thf(c_Suc_type, type, c_Suc: $i > $i).
% 0.14/0.59 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.14/0.59 thf(v_h_type, type, v_h: $i > $i).
% 0.14/0.59 thf(tfree_tcs, conjecture,
% 0.14/0.59 (~( class_Ring__and__Field_Oordered__idom @ t_a ))).
% 0.14/0.59 thf(zf_stmt_0, negated_conjecture,
% 0.14/0.59 (class_Ring__and__Field_Oordered__idom @ t_a),
% 0.14/0.59 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.14/0.59 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.14/0.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.14/0.59 thf(clsrel_Ring__and__Field_Oordered__idom_40, axiom,
% 0.14/0.59 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.14/0.59 ( class_Ring__and__Field_Opordered__cancel__semiring @ T ))).
% 0.14/0.59 thf(zip_derived_cl13, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.14/0.59 | (class_Ring__and__Field_Opordered__cancel__semiring @ X0))),
% 0.14/0.59 inference('cnf', [status(esa)],
% 0.14/0.59 [clsrel_Ring__and__Field_Oordered__idom_40])).
% 0.14/0.59 thf(cls_Ring__and__Field_Omult__nonneg__nonneg_0, axiom,
% 0.14/0.59 (( ~( class_Ring__and__Field_Opordered__cancel__semiring @ T_a ) ) |
% 0.14/0.59 ( ~( c_lessequals @ c_0 @ V_b @ T_a ) ) |
% 0.14/0.59 ( ~( c_lessequals @ c_0 @ V_a @ T_a ) ) |
% 0.14/0.59 ( c_lessequals @ c_0 @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ))).
% 0.14/0.59 thf(zip_derived_cl10, plain,
% 0.14/0.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Opordered__cancel__semiring @ X0)
% 0.14/0.59 | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 0.14/0.59 | ~ (c_lessequals @ c_0 @ X2 @ X0)
% 0.14/0.59 | (c_lessequals @ c_0 @ (c_times @ X2 @ X1 @ X0) @ X0))),
% 0.14/0.59 inference('cnf', [status(esa)],
% 0.14/0.59 [cls_Ring__and__Field_Omult__nonneg__nonneg_0])).
% 0.14/0.59 thf(zip_derived_cl67, plain,
% 0.14/0.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.14/0.59 | (c_lessequals @ c_0 @ (c_times @ X2 @ X1 @ X0) @ X0)
% 0.14/0.59 | ~ (c_lessequals @ c_0 @ X2 @ X0)
% 0.14/0.59 | ~ (c_lessequals @ c_0 @ X1 @ X0))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl13, zip_derived_cl10])).
% 0.14/0.59 thf(zip_derived_cl84, plain,
% 0.14/0.59 (![X0 : $i, X1 : $i]:
% 0.14/0.59 (~ (c_lessequals @ c_0 @ X0 @ t_a)
% 0.14/0.59 | ~ (c_lessequals @ c_0 @ X1 @ t_a)
% 0.14/0.59 | (c_lessequals @ c_0 @ (c_times @ X1 @ X0 @ t_a) @ t_a))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl4, zip_derived_cl67])).
% 0.14/0.59 thf(cls_conjecture_1, conjecture, (~( c_less @ c_0 @ v_x @ t_a ))).
% 0.14/0.59 thf(zf_stmt_1, negated_conjecture, (c_less @ c_0 @ v_x @ t_a),
% 0.14/0.59 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.14/0.59 thf(zip_derived_cl1, plain, ( (c_less @ c_0 @ v_x @ t_a)),
% 0.14/0.59 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.14/0.59 thf(cls_conjecture_3, conjecture,
% 0.14/0.59 (~( ( ~( c_less @ c_0 @ V_U @ t_a ) ) |
% 0.14/0.59 ( ~( c_lessequals @
% 0.14/0.59 ( c_HOL_Oabs @ ( v_f @ ( v_xa @ V_U ) ) @ t_a ) @
% 0.14/0.59 ( c_times @
% 0.14/0.59 V_U @ ( c_HOL_Oabs @ ( v_h @ ( v_xa @ V_U ) ) @ t_a ) @ t_a ) @
% 0.14/0.59 t_a ) ) ))).
% 0.14/0.59 thf(zf_stmt_2, negated_conjecture,
% 0.14/0.59 (( ~( c_less @ c_0 @ V_U @ t_a ) ) |
% 0.14/0.59 ( ~( c_lessequals @
% 0.14/0.59 ( c_HOL_Oabs @ ( v_f @ ( v_xa @ V_U ) ) @ t_a ) @
% 0.14/0.59 ( c_times @
% 0.14/0.59 V_U @ ( c_HOL_Oabs @ ( v_h @ ( v_xa @ V_U ) ) @ t_a ) @ t_a ) @
% 0.14/0.59 t_a ) )),
% 0.14/0.59 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.14/0.59 thf(zip_derived_cl3, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (c_less @ c_0 @ X0 @ t_a)
% 0.14/0.59 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ (v_xa @ X0)) @ t_a) @
% 0.14/0.59 (c_times @ X0 @ (c_HOL_Oabs @ (v_h @ (v_xa @ X0)) @ t_a) @ t_a) @
% 0.14/0.59 t_a))),
% 0.14/0.59 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.14/0.59 thf(zip_derived_cl72, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (((c_0) != (c_0))
% 0.14/0.59 | ((v_x) != (X0))
% 0.14/0.59 | ((t_a) != (t_a))
% 0.14/0.59 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ (v_xa @ X0)) @ t_a) @
% 0.14/0.59 (c_times @ X0 @ (c_HOL_Oabs @ (v_h @ (v_xa @ X0)) @ t_a) @ t_a) @
% 0.14/0.59 t_a))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl1, zip_derived_cl3])).
% 0.14/0.59 thf(zip_derived_cl94, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ (v_xa @ X0)) @ t_a) @
% 0.14/0.59 (c_times @ X0 @ (c_HOL_Oabs @ (v_h @ (v_xa @ X0)) @ t_a) @ t_a) @
% 0.14/0.59 t_a)
% 0.14/0.59 | ((v_x) != (X0)))),
% 0.14/0.59 inference('simplify', [status(thm)], [zip_derived_cl72])).
% 0.14/0.59 thf(zip_derived_cl95, plain,
% 0.14/0.59 (~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ (v_xa @ v_x)) @ t_a) @
% 0.14/0.59 (c_times @ v_x @ (c_HOL_Oabs @ (v_h @ (v_xa @ v_x)) @ t_a) @ t_a) @
% 0.14/0.59 t_a)),
% 0.14/0.59 inference('eq_res', [status(thm)], [zip_derived_cl94])).
% 0.14/0.59 thf(cls_Nat_Onot__gr0_0, axiom,
% 0.14/0.59 (( c_less @ c_0 @ V_n @ tc_nat ) | ( ( V_n ) = ( c_0 ) ))).
% 0.14/0.59 thf(zip_derived_cl6, plain,
% 0.14/0.59 (![X0 : $i]: ( (c_less @ c_0 @ X0 @ tc_nat) | ((X0) = (c_0)))),
% 0.14/0.59 inference('cnf', [status(esa)], [cls_Nat_Onot__gr0_0])).
% 0.14/0.59 thf(cls_NatBin_OSuc__pred_H_0, axiom,
% 0.14/0.59 (( ~( c_less @ c_0 @ V_x @ tc_nat ) ) |
% 0.14/0.59 ( ( V_x ) = ( c_Suc @ ( c_minus @ V_x @ c_1 @ tc_nat ) ) ))).
% 0.14/0.59 thf(zip_derived_cl5, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (c_less @ c_0 @ X0 @ tc_nat)
% 0.14/0.59 | ((X0) = (c_Suc @ (c_minus @ X0 @ c_1 @ tc_nat))))),
% 0.14/0.59 inference('cnf', [status(esa)], [cls_NatBin_OSuc__pred_H_0])).
% 0.14/0.59 thf(zip_derived_cl82, plain,
% 0.14/0.59 (![X0 : $i, X1 : $i]:
% 0.14/0.59 (((c_0) != (c_0))
% 0.14/0.59 | ((X0) != (X1))
% 0.14/0.59 | ((tc_nat) != (tc_nat))
% 0.14/0.59 | ((X0) = (c_0))
% 0.14/0.59 | ((X1) = (c_Suc @ (c_minus @ X1 @ c_1 @ tc_nat))))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl6, zip_derived_cl5])).
% 0.14/0.59 thf(zip_derived_cl100, plain,
% 0.14/0.59 (![X0 : $i, X1 : $i]:
% 0.14/0.59 (((X1) = (c_Suc @ (c_minus @ X1 @ c_1 @ tc_nat)))
% 0.14/0.59 | ((X0) = (c_0))
% 0.14/0.59 | ((X0) != (X1)))),
% 0.14/0.59 inference('simplify', [status(thm)], [zip_derived_cl82])).
% 0.14/0.59 thf(zip_derived_cl101, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (((X0) = (c_0)) | ((X0) = (c_Suc @ (c_minus @ X0 @ c_1 @ tc_nat))))),
% 0.14/0.59 inference('eq_res', [status(thm)], [zip_derived_cl100])).
% 0.14/0.59 thf(cls_conjecture_2, conjecture,
% 0.14/0.59 (~( c_lessequals @
% 0.14/0.59 ( c_HOL_Oabs @ ( v_f @ ( c_Suc @ V_U ) ) @ t_a ) @
% 0.14/0.59 ( c_times @
% 0.14/0.59 v_x @ ( c_HOL_Oabs @ ( v_h @ ( c_Suc @ V_U ) ) @ t_a ) @ t_a ) @
% 0.14/0.59 t_a ))).
% 0.14/0.59 thf(zf_stmt_3, negated_conjecture,
% 0.14/0.59 (c_lessequals @
% 0.14/0.59 ( c_HOL_Oabs @ ( v_f @ ( c_Suc @ V_U ) ) @ t_a ) @
% 0.14/0.59 ( c_times @ v_x @ ( c_HOL_Oabs @ ( v_h @ ( c_Suc @ V_U ) ) @ t_a ) @ t_a ) @
% 0.14/0.59 t_a),
% 0.14/0.59 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.14/0.59 thf(zip_derived_cl2, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (c_lessequals @ (c_HOL_Oabs @ (v_f @ (c_Suc @ X0)) @ t_a) @
% 0.14/0.59 (c_times @ v_x @ (c_HOL_Oabs @ (v_h @ (c_Suc @ X0)) @ t_a) @ t_a) @
% 0.14/0.59 t_a)),
% 0.14/0.59 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.14/0.59 thf(zip_derived_cl102, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (((X0) = (c_0))
% 0.14/0.59 | (c_lessequals @ (c_HOL_Oabs @ (v_f @ X0) @ t_a) @
% 0.14/0.59 (c_times @ v_x @ (c_HOL_Oabs @ (v_h @ X0) @ t_a) @ t_a) @ t_a))),
% 0.14/0.59 inference('s_sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl2])).
% 0.14/0.59 thf(zip_derived_cl95, plain,
% 0.14/0.59 (~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ (v_xa @ v_x)) @ t_a) @
% 0.14/0.59 (c_times @ v_x @ (c_HOL_Oabs @ (v_h @ (v_xa @ v_x)) @ t_a) @ t_a) @
% 0.14/0.59 t_a)),
% 0.14/0.59 inference('eq_res', [status(thm)], [zip_derived_cl94])).
% 0.14/0.59 thf(zip_derived_cl104, plain, (((v_xa @ v_x) = (c_0))),
% 0.14/0.59 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl95])).
% 0.14/0.59 thf(cls_conjecture_0, conjecture, (( v_f @ c_0 ) != ( c_0 ))).
% 0.14/0.59 thf(zf_stmt_4, negated_conjecture, (( v_f @ c_0 ) = ( c_0 )),
% 0.14/0.59 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.14/0.59 thf(zip_derived_cl0, plain, (((v_f @ c_0) = (c_0))),
% 0.14/0.59 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.14/0.59 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.14/0.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.14/0.59 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 0.14/0.59 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.14/0.59 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 0.14/0.59 thf(zip_derived_cl14, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.14/0.59 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.14/0.59 inference('cnf', [status(esa)],
% 0.14/0.59 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.14/0.59 thf(cls_OrderedGroup_Oabs__eq__0_1, axiom,
% 0.14/0.59 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 0.14/0.59 ( ( c_HOL_Oabs @ c_0 @ T_a ) = ( c_0 ) ))).
% 0.14/0.59 thf(zip_derived_cl7, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.14/0.59 | ((c_HOL_Oabs @ c_0 @ X0) = (c_0)))),
% 0.14/0.59 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__eq__0_1])).
% 0.14/0.59 thf(zip_derived_cl68, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.14/0.59 | ((c_HOL_Oabs @ c_0 @ X0) = (c_0)))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl14, zip_derived_cl7])).
% 0.14/0.59 thf(zip_derived_cl85, plain, (((c_HOL_Oabs @ c_0 @ t_a) = (c_0))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl4, zip_derived_cl68])).
% 0.14/0.59 thf(zip_derived_cl104, plain, (((v_xa @ v_x) = (c_0))),
% 0.14/0.59 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl95])).
% 0.14/0.59 thf(zip_derived_cl107, plain,
% 0.14/0.59 (~ (c_lessequals @ c_0 @
% 0.14/0.59 (c_times @ v_x @ (c_HOL_Oabs @ (v_h @ c_0) @ t_a) @ t_a) @ t_a)),
% 0.14/0.59 inference('demod', [status(thm)],
% 0.14/0.59 [zip_derived_cl95, zip_derived_cl104, zip_derived_cl0,
% 0.14/0.59 zip_derived_cl85, zip_derived_cl104])).
% 0.14/0.59 thf(zip_derived_cl108, plain,
% 0.14/0.59 ((~ (c_lessequals @ c_0 @ v_x @ t_a)
% 0.14/0.59 | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_h @ c_0) @ t_a) @ t_a))),
% 0.14/0.59 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl107])).
% 0.14/0.59 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.14/0.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.14/0.59 thf(zip_derived_cl1, plain, ( (c_less @ c_0 @ v_x @ t_a)),
% 0.14/0.59 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.14/0.59 thf(clsrel_Ring__and__Field_Oordered__idom_35, axiom,
% 0.14/0.59 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.14/0.59 ( class_LOrder_Ojoin__semilorder @ T ))).
% 0.14/0.59 thf(zip_derived_cl12, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.14/0.59 | (class_LOrder_Ojoin__semilorder @ X0))),
% 0.14/0.59 inference('cnf', [status(esa)],
% 0.14/0.59 [clsrel_Ring__and__Field_Oordered__idom_35])).
% 0.14/0.59 thf(clsrel_LOrder_Ojoin__semilorder_1, axiom,
% 0.14/0.59 (( ~( class_LOrder_Ojoin__semilorder @ T ) ) |
% 0.14/0.59 ( class_Orderings_Oorder @ T ))).
% 0.14/0.59 thf(zip_derived_cl11, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (class_LOrder_Ojoin__semilorder @ X0)
% 0.14/0.59 | (class_Orderings_Oorder @ X0))),
% 0.14/0.59 inference('cnf', [status(esa)], [clsrel_LOrder_Ojoin__semilorder_1])).
% 0.14/0.59 thf(zip_derived_cl65, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.14/0.59 | (class_Orderings_Oorder @ X0))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl12, zip_derived_cl11])).
% 0.14/0.59 thf(cls_Orderings_Oorder__less__imp__le_0, axiom,
% 0.14/0.59 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 0.14/0.59 ( ~( c_less @ V_x @ V_y @ T_a ) ) | ( c_lessequals @ V_x @ V_y @ T_a ))).
% 0.14/0.59 thf(zip_derived_cl9, plain,
% 0.14/0.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.59 (~ (class_Orderings_Oorder @ X0)
% 0.14/0.59 | ~ (c_less @ X1 @ X2 @ X0)
% 0.14/0.59 | (c_lessequals @ X1 @ X2 @ X0))),
% 0.14/0.59 inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 0.14/0.59 thf(zip_derived_cl66, plain,
% 0.14/0.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.14/0.59 | (c_lessequals @ X2 @ X1 @ X0)
% 0.14/0.59 | ~ (c_less @ X2 @ X1 @ X0))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl65, zip_derived_cl9])).
% 0.14/0.59 thf(zip_derived_cl76, plain,
% 0.14/0.59 (( (c_lessequals @ c_0 @ v_x @ t_a)
% 0.14/0.59 | ~ (class_Ring__and__Field_Oordered__idom @ t_a))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl1, zip_derived_cl66])).
% 0.14/0.59 thf(zip_derived_cl89, plain,
% 0.14/0.59 ((((t_a) != (t_a)) | (c_lessequals @ c_0 @ v_x @ t_a))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl4, zip_derived_cl76])).
% 0.14/0.59 thf(zip_derived_cl93, plain, ( (c_lessequals @ c_0 @ v_x @ t_a)),
% 0.14/0.59 inference('simplify', [status(thm)], [zip_derived_cl89])).
% 0.14/0.59 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.14/0.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.14/0.59 thf(zip_derived_cl14, plain,
% 0.14/0.59 (![X0 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.14/0.59 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.14/0.59 inference('cnf', [status(esa)],
% 0.14/0.59 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.14/0.59 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 0.14/0.59 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 0.14/0.59 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 0.14/0.59 thf(zip_derived_cl8, plain,
% 0.14/0.59 (![X0 : $i, X1 : $i]:
% 0.14/0.59 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.14/0.59 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.14/0.59 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 0.14/0.59 thf(zip_derived_cl69, plain,
% 0.14/0.59 (![X0 : $i, X1 : $i]:
% 0.14/0.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.14/0.59 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl14, zip_derived_cl8])).
% 0.14/0.59 thf(zip_derived_cl86, plain,
% 0.14/0.59 (![X0 : $i]: (c_lessequals @ c_0 @ (c_HOL_Oabs @ X0 @ t_a) @ t_a)),
% 0.14/0.59 inference('dp-resolution', [status(thm)],
% 0.14/0.59 [zip_derived_cl4, zip_derived_cl69])).
% 0.14/0.59 thf(zip_derived_cl109, plain, ($false),
% 0.14/0.59 inference('demod', [status(thm)],
% 0.14/0.59 [zip_derived_cl108, zip_derived_cl93, zip_derived_cl86])).
% 0.14/0.59
% 0.14/0.59 % SZS output end Refutation
% 0.14/0.59
% 0.14/0.59
% 0.14/0.59 % Terminating...
% 0.14/0.70 % Runner terminated.
% 0.14/0.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------