TSTP Solution File: ANA014-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA014-2 : 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.igrbupbpei true
% Computer : n023.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 17:25:55 EDT 2023
% Result : Unsatisfiable 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.igrbupbpei true
% 0.13/0.35 % Computer : n023.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 : Fri Aug 25 18:55:57 EDT 2023
% 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
% 0.54/0.67 % Total configuration time : 435
% 0.54/0.67 % Estimated wc time : 1092
% 0.54/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.82 % Solved by fo/fo3_bce.sh.
% 0.60/0.82 % BCE start: 13
% 0.60/0.82 % BCE eliminated: 0
% 0.60/0.82 % PE start: 13
% 0.60/0.82 logic: eq
% 0.60/0.82 % PE eliminated: 7
% 0.60/0.82 % done 22 iterations in 0.023s
% 0.60/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.82 % SZS output start Refutation
% 0.60/0.82 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.60/0.82 thf(v_f_type, type, v_f: $i > $i).
% 0.60/0.82 thf(v_x_type, type, v_x: $i > $i).
% 0.60/0.82 thf(class_OrderedGroup_Omonoid__mult_type, type, class_OrderedGroup_Omonoid__mult:
% 0.60/0.82 $i > $o).
% 0.60/0.82 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.60/0.82 $i > $o).
% 0.60/0.82 thf(class_Ring__and__Field_Oordered__field_type, type, class_Ring__and__Field_Oordered__field:
% 0.60/0.82 $i > $o).
% 0.60/0.82 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 0.60/0.82 thf(c_HOL_Oinverse_type, type, c_HOL_Oinverse: $i > $i > $i).
% 0.60/0.82 thf(c_0_type, type, c_0: $i).
% 0.60/0.82 thf(t_a_type, type, t_a: $i).
% 0.60/0.82 thf(class_Ring__and__Field_Ofield_type, type, class_Ring__and__Field_Ofield:
% 0.60/0.82 $i > $o).
% 0.60/0.82 thf(v_c_type, type, v_c: $i).
% 0.60/0.82 thf(c_1_type, type, c_1: $i).
% 0.60/0.82 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.60/0.82 thf(class_OrderedGroup_Osemigroup__mult_type, type, class_OrderedGroup_Osemigroup__mult:
% 0.60/0.82 $i > $o).
% 0.60/0.82 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.60/0.82 thf(tfree_tcs, conjecture,
% 0.60/0.82 (~( class_Ring__and__Field_Oordered__field @ t_a ))).
% 0.60/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.60/0.82 (class_Ring__and__Field_Oordered__field @ t_a),
% 0.60/0.82 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.60/0.82 thf(zip_derived_cl2, plain,
% 0.60/0.82 ( (class_Ring__and__Field_Oordered__field @ t_a)),
% 0.60/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.82 thf(clsrel_Ring__and__Field_Oordered__field_0, axiom,
% 0.60/0.82 (( ~( class_Ring__and__Field_Oordered__field @ T ) ) |
% 0.60/0.82 ( class_Ring__and__Field_Ofield @ T ))).
% 0.60/0.82 thf(zip_derived_cl10, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.60/0.82 | (class_Ring__and__Field_Ofield @ X0))),
% 0.60/0.82 inference('cnf', [status(esa)],
% 0.60/0.82 [clsrel_Ring__and__Field_Oordered__field_0])).
% 0.60/0.82 thf(zip_derived_cl56, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl2, zip_derived_cl10])).
% 0.60/0.82 thf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0, axiom,
% 0.60/0.82 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) | ( ( V_a ) = ( c_0 ) ) |
% 0.60/0.82 ( ( c_times @ ( c_HOL_Oinverse @ V_a @ T_a ) @ V_a @ T_a ) = ( c_1 ) ))).
% 0.60/0.82 thf(zip_derived_cl7, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Ofield @ X0)
% 0.60/0.82 | ((X1) = (c_0))
% 0.60/0.82 | ((c_times @ (c_HOL_Oinverse @ X1 @ X0) @ X1 @ X0) = (c_1)))),
% 0.60/0.82 inference('cnf', [status(esa)],
% 0.60/0.82 [cls_Ring__and__Field_Ofield__class_Oaxioms__1_0])).
% 0.60/0.82 thf(zip_derived_cl59, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 (((c_times @ (c_HOL_Oinverse @ X0 @ t_a) @ X0 @ t_a) = (c_1))
% 0.60/0.82 | ((X0) = (c_0)))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl56, zip_derived_cl7])).
% 0.60/0.82 thf(zip_derived_cl56, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl2, zip_derived_cl10])).
% 0.60/0.82 thf(clsrel_Ring__and__Field_Ofield_21, axiom,
% 0.60/0.82 (( ~( class_Ring__and__Field_Ofield @ T ) ) |
% 0.60/0.82 ( class_OrderedGroup_Osemigroup__mult @ T ))).
% 0.60/0.82 thf(zip_derived_cl9, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Ofield @ X0)
% 0.60/0.82 | (class_OrderedGroup_Osemigroup__mult @ X0))),
% 0.60/0.82 inference('cnf', [status(esa)], [clsrel_Ring__and__Field_Ofield_21])).
% 0.60/0.82 thf(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0, axiom,
% 0.60/0.82 (( ~( class_OrderedGroup_Osemigroup__mult @ T_a ) ) |
% 0.60/0.82 ( ( c_times @ ( c_times @ V_a @ V_b @ T_a ) @ V_c @ T_a ) =
% 0.60/0.82 ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a ) ))).
% 0.60/0.82 thf(zip_derived_cl4, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.82 (~ (class_OrderedGroup_Osemigroup__mult @ X0)
% 0.60/0.82 | ((c_times @ (c_times @ X1 @ X2 @ X0) @ X3 @ X0)
% 0.60/0.82 = (c_times @ X1 @ (c_times @ X2 @ X3 @ X0) @ X0)))),
% 0.60/0.82 inference('cnf', [status(esa)],
% 0.60/0.82 [cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0])).
% 0.60/0.82 thf(zip_derived_cl54, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Ofield @ X0)
% 0.60/0.82 | ((c_times @ (c_times @ X3 @ X2 @ X0) @ X1 @ X0)
% 0.60/0.82 = (c_times @ X3 @ (c_times @ X2 @ X1 @ X0) @ X0)))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl9, zip_derived_cl4])).
% 0.60/0.82 thf(zip_derived_cl61, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.82 ((c_times @ (c_times @ X2 @ X1 @ t_a) @ X0 @ t_a)
% 0.60/0.82 = (c_times @ X2 @ (c_times @ X1 @ X0 @ t_a) @ t_a))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl56, zip_derived_cl54])).
% 0.60/0.82 thf(zip_derived_cl85, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (((c_times @ c_1 @ X0 @ t_a)
% 0.60/0.82 = (c_times @ (c_HOL_Oinverse @ X1 @ t_a) @
% 0.60/0.82 (c_times @ X1 @ X0 @ t_a) @ t_a))
% 0.60/0.82 | ((X1) = (c_0)))),
% 0.60/0.82 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl61])).
% 0.60/0.82 thf(zip_derived_cl56, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl2, zip_derived_cl10])).
% 0.60/0.82 thf(clsrel_Ring__and__Field_Ofield_12, axiom,
% 0.60/0.82 (( ~( class_Ring__and__Field_Ofield @ T ) ) |
% 0.60/0.82 ( class_OrderedGroup_Omonoid__mult @ T ))).
% 0.60/0.82 thf(zip_derived_cl8, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Ofield @ X0)
% 0.60/0.82 | (class_OrderedGroup_Omonoid__mult @ X0))),
% 0.60/0.82 inference('cnf', [status(esa)], [clsrel_Ring__and__Field_Ofield_12])).
% 0.60/0.82 thf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0, axiom,
% 0.60/0.82 (( ~( class_OrderedGroup_Omonoid__mult @ T_a ) ) |
% 0.60/0.82 ( ( c_times @ c_1 @ V_y @ T_a ) = ( V_y ) ))).
% 0.60/0.82 thf(zip_derived_cl3, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (~ (class_OrderedGroup_Omonoid__mult @ X0)
% 0.60/0.82 | ((c_times @ c_1 @ X1 @ X0) = (X1)))),
% 0.60/0.82 inference('cnf', [status(esa)],
% 0.60/0.82 [cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0])).
% 0.60/0.82 thf(zip_derived_cl52, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Ofield @ X0)
% 0.60/0.82 | ((c_times @ c_1 @ X1 @ X0) = (X1)))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl8, zip_derived_cl3])).
% 0.60/0.82 thf(zip_derived_cl60, plain,
% 0.60/0.82 (![X0 : $i]: ((c_times @ c_1 @ X0 @ t_a) = (X0))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl56, zip_derived_cl52])).
% 0.60/0.82 thf(zip_derived_cl87, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (((X0)
% 0.60/0.82 = (c_times @ (c_HOL_Oinverse @ X1 @ t_a) @
% 0.60/0.82 (c_times @ X1 @ X0 @ t_a) @ t_a))
% 0.60/0.82 | ((X1) = (c_0)))),
% 0.60/0.82 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl60])).
% 0.60/0.82 thf(zip_derived_cl2, plain,
% 0.60/0.82 ( (class_Ring__and__Field_Oordered__field @ t_a)),
% 0.60/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.82 thf(clsrel_Ring__and__Field_Oordered__field_34, axiom,
% 0.60/0.82 (( ~( class_Ring__and__Field_Oordered__field @ T ) ) |
% 0.60/0.82 ( class_Ring__and__Field_Oordered__idom @ T ))).
% 0.60/0.82 thf(zip_derived_cl11, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.60/0.82 | (class_Ring__and__Field_Oordered__idom @ X0))),
% 0.60/0.82 inference('cnf', [status(esa)],
% 0.60/0.82 [clsrel_Ring__and__Field_Oordered__field_34])).
% 0.60/0.82 thf(cls_Ring__and__Field_Oabs__mult_0, axiom,
% 0.60/0.82 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 0.60/0.82 ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ) =
% 0.60/0.82 ( c_times @
% 0.60/0.82 ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ))).
% 0.60/0.82 thf(zip_derived_cl6, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.60/0.82 | ((c_HOL_Oabs @ (c_times @ X1 @ X2 @ X0) @ X0)
% 0.60/0.82 = (c_times @ (c_HOL_Oabs @ X1 @ X0) @ (c_HOL_Oabs @ X2 @ X0) @ X0)))),
% 0.60/0.82 inference('cnf', [status(esa)], [cls_Ring__and__Field_Oabs__mult_0])).
% 0.60/0.82 thf(zip_derived_cl53, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.60/0.82 | ((c_HOL_Oabs @ (c_times @ X2 @ X1 @ X0) @ X0)
% 0.60/0.82 = (c_times @ (c_HOL_Oabs @ X2 @ X0) @ (c_HOL_Oabs @ X1 @ X0) @ X0)))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl11, zip_derived_cl6])).
% 0.60/0.82 thf(zip_derived_cl57, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 ((c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_a) @ t_a)
% 0.60/0.82 = (c_times @ (c_HOL_Oabs @ X1 @ t_a) @ (c_HOL_Oabs @ X0 @ t_a) @ t_a))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl2, zip_derived_cl53])).
% 0.60/0.82 thf(zip_derived_cl2, plain,
% 0.60/0.82 ( (class_Ring__and__Field_Oordered__field @ t_a)),
% 0.60/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.82 thf(clsrel_Ring__and__Field_Oordered__field_58, axiom,
% 0.60/0.82 (( ~( class_Ring__and__Field_Oordered__field @ T ) ) |
% 0.60/0.82 ( class_Orderings_Oorder @ T ))).
% 0.60/0.82 thf(zip_derived_cl12, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.60/0.82 | (class_Orderings_Oorder @ X0))),
% 0.60/0.82 inference('cnf', [status(esa)],
% 0.60/0.82 [clsrel_Ring__and__Field_Oordered__field_58])).
% 0.60/0.82 thf(cls_Orderings_Oorder__class_Oaxioms__1_0, axiom,
% 0.60/0.82 (( ~( class_Orderings_Oorder @ T_a ) ) | ( c_lessequals @ V_x @ V_x @ T_a ))).
% 0.60/0.82 thf(zip_derived_cl5, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (~ (class_Orderings_Oorder @ X0) | (c_lessequals @ X1 @ X1 @ X0))),
% 0.60/0.82 inference('cnf', [status(esa)],
% 0.60/0.82 [cls_Orderings_Oorder__class_Oaxioms__1_0])).
% 0.60/0.82 thf(cls_conjecture_1, conjecture,
% 0.60/0.82 (c_lessequals @
% 0.60/0.82 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_a ) @
% 0.60/0.82 ( c_times @
% 0.60/0.82 V_U @
% 0.60/0.82 ( c_times @
% 0.60/0.82 ( c_HOL_Oabs @ v_c @ t_a ) @
% 0.60/0.82 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_a ) @ t_a ) @
% 0.60/0.82 t_a ) @
% 0.60/0.82 t_a)).
% 0.60/0.82 thf(zf_stmt_1, negated_conjecture,
% 0.60/0.82 (~( c_lessequals @
% 0.60/0.82 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_a ) @
% 0.60/0.82 ( c_times @
% 0.60/0.82 V_U @
% 0.60/0.82 ( c_times @
% 0.60/0.82 ( c_HOL_Oabs @ v_c @ t_a ) @
% 0.60/0.82 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_a ) @ t_a ) @
% 0.60/0.82 t_a ) @
% 0.60/0.82 t_a )),
% 0.60/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.60/0.82 thf(zip_derived_cl1, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 ~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_a) @
% 0.60/0.82 (c_times @ X0 @
% 0.60/0.82 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 0.60/0.82 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_a) @ t_a) @
% 0.60/0.82 t_a) @
% 0.60/0.82 t_a)),
% 0.60/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.82 thf(zip_derived_cl51, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.82 (((X1) != (c_HOL_Oabs @ (v_f @ (v_x @ X2)) @ t_a))
% 0.60/0.82 | ((X1)
% 0.60/0.82 != (c_times @ X2 @
% 0.60/0.82 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 0.60/0.82 (c_HOL_Oabs @ (v_f @ (v_x @ X2)) @ t_a) @ t_a) @
% 0.60/0.82 t_a))
% 0.60/0.82 | ((X0) != (t_a))
% 0.60/0.82 | ~ (class_Orderings_Oorder @ X0))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl5, zip_derived_cl1])).
% 0.60/0.82 thf(zip_derived_cl55, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.82 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.60/0.82 | ((X0) != (t_a))
% 0.60/0.82 | ((X1)
% 0.60/0.82 != (c_times @ X2 @
% 0.60/0.82 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 0.60/0.82 (c_HOL_Oabs @ (v_f @ (v_x @ X2)) @ t_a) @ t_a) @
% 0.60/0.82 t_a))
% 0.60/0.82 | ((X1) != (c_HOL_Oabs @ (v_f @ (v_x @ X2)) @ t_a)))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl12, zip_derived_cl51])).
% 0.60/0.82 thf(zip_derived_cl58, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (((X0) != (c_HOL_Oabs @ (v_f @ (v_x @ X1)) @ t_a))
% 0.60/0.82 | ((X0)
% 0.60/0.82 != (c_times @ X1 @
% 0.60/0.82 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 0.60/0.82 (c_HOL_Oabs @ (v_f @ (v_x @ X1)) @ t_a) @ t_a) @
% 0.60/0.82 t_a))
% 0.60/0.82 | ((t_a) != (t_a)))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl2, zip_derived_cl55])).
% 0.60/0.82 thf(zip_derived_cl62, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 (((X0)
% 0.60/0.82 != (c_times @ X1 @
% 0.60/0.82 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 0.60/0.82 (c_HOL_Oabs @ (v_f @ (v_x @ X1)) @ t_a) @ t_a) @
% 0.60/0.82 t_a))
% 0.60/0.82 | ((X0) != (c_HOL_Oabs @ (v_f @ (v_x @ X1)) @ t_a)))),
% 0.60/0.82 inference('simplify', [status(thm)], [zip_derived_cl58])).
% 0.60/0.82 thf(zip_derived_cl63, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 ((c_times @ X0 @
% 0.60/0.82 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 0.60/0.82 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_a) @ t_a) @
% 0.60/0.82 t_a) != (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_a))),
% 0.60/0.82 inference('eq_res', [status(thm)], [zip_derived_cl62])).
% 0.60/0.82 thf(zip_derived_cl57, plain,
% 0.60/0.82 (![X0 : $i, X1 : $i]:
% 0.60/0.82 ((c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_a) @ t_a)
% 0.60/0.82 = (c_times @ (c_HOL_Oabs @ X1 @ t_a) @ (c_HOL_Oabs @ X0 @ t_a) @ t_a))),
% 0.60/0.82 inference('dp-resolution', [status(thm)],
% 0.60/0.82 [zip_derived_cl2, zip_derived_cl53])).
% 0.60/0.82 thf(zip_derived_cl67, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 ((c_times @ X0 @
% 0.60/0.82 (c_HOL_Oabs @ (c_times @ v_c @ (v_f @ (v_x @ X0)) @ t_a) @ t_a) @
% 0.60/0.82 t_a) != (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_a))),
% 0.60/0.82 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl57])).
% 0.60/0.82 thf(zip_derived_cl69, plain,
% 0.60/0.82 (![X0 : $i]:
% 0.60/0.82 ((c_HOL_Oabs @
% 0.60/0.82 (c_times @ X0 @
% 0.60/0.82 (c_times @ v_c @ (v_f @ (v_x @ (c_HOL_Oabs @ X0 @ t_a))) @ t_a) @
% 0.60/0.82 t_a) @
% 0.60/0.82 t_a) != (c_HOL_Oabs @ (v_f @ (v_x @ (c_HOL_Oabs @ X0 @ t_a))) @ t_a))),
% 0.60/0.82 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl67])).
% 0.60/0.83 thf(zip_derived_cl93, plain,
% 0.60/0.83 ((((c_HOL_Oabs @
% 0.60/0.83 (v_f @ (v_x @ (c_HOL_Oabs @ (c_HOL_Oinverse @ v_c @ t_a) @ t_a))) @
% 0.60/0.83 t_a)
% 0.60/0.83 != (c_HOL_Oabs @
% 0.60/0.83 (v_f @ (v_x @ (c_HOL_Oabs @ (c_HOL_Oinverse @ v_c @ t_a) @ t_a))) @
% 0.60/0.83 t_a))
% 0.60/0.83 | ((v_c) = (c_0)))),
% 0.60/0.83 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl69])).
% 0.60/0.83 thf(zip_derived_cl101, plain, (((v_c) = (c_0))),
% 0.60/0.83 inference('simplify', [status(thm)], [zip_derived_cl93])).
% 0.60/0.83 thf(cls_conjecture_0, conjecture, (( v_c ) = ( c_0 ))).
% 0.60/0.83 thf(zf_stmt_2, negated_conjecture, (( v_c ) != ( c_0 )),
% 0.60/0.83 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.60/0.83 thf(zip_derived_cl0, plain, (((v_c) != (c_0))),
% 0.60/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.60/0.83 thf(zip_derived_cl102, plain, ($false),
% 0.60/0.83 inference('simplify_reflect-', [status(thm)],
% 0.60/0.83 [zip_derived_cl101, zip_derived_cl0])).
% 0.60/0.83
% 0.60/0.83 % SZS output end Refutation
% 0.60/0.83
% 0.60/0.83
% 0.60/0.83 % Terminating...
% 1.73/0.88 % Runner terminated.
% 1.73/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------