%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA012-1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tVXROUqRFu 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 04:28:50 PM UTC 2025
% Result : Unsatisfiable 6.89s 1.53s
% Output : Refutation 6.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ANA012-1 : TPTP v9.2.0. Released v3.2.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tVXROUqRFu true
% 0.11/0.30 % Computer : n031.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Wed Oct 1 15:21:23 EDT 2025
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % Running portfolio for 300 s
% 0.11/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.30 % Number of cores: 8
% 0.11/0.30 % Python version: Python 3.6.8
% 0.11/0.30 % Running in FO mode
% 0.16/0.55 % Total configuration time : 435
% 0.16/0.55 % Estimated wc time : 1092
% 0.16/0.55 % Estimated cpu time (7 cpus) : 156.0
% 1.15/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.15/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.28/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.89/1.53 % Solved by fo/fo3_bce.sh.
% 6.89/1.53 % BCE start: 936
% 6.89/1.53 % BCE eliminated: 297
% 6.89/1.53 % PE start: 639
% 6.89/1.53 logic: eq
% 6.89/1.53 % PE eliminated: -75
% 6.89/1.53 % done 773 iterations in 0.854s
% 6.89/1.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.89/1.53 % SZS output start Refutation
% 6.89/1.53 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 6.89/1.53 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 6.89/1.53 $i > $o).
% 6.89/1.53 thf(class_Ring__and__Field_Ofield_type, type, class_Ring__and__Field_Ofield:
% 6.89/1.53 $i > $o).
% 6.89/1.53 thf(c_plus_type, type, c_plus: $i > $i > $i > $i).
% 6.89/1.53 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 6.89/1.53 $i > $o).
% 6.89/1.53 thf(v_c_type, type, v_c: $i).
% 6.89/1.53 thf(class_OrderedGroup_Ocomm__monoid__add_type, type, class_OrderedGroup_Ocomm__monoid__add:
% 6.89/1.53 $i > $o).
% 6.89/1.53 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 6.89/1.53 thf(c_HOL_Oinverse_type, type, c_HOL_Oinverse: $i > $i > $i).
% 6.89/1.53 thf(t_a_type, type, t_a: $i).
% 6.89/1.53 thf(c_uminus_type, type, c_uminus: $i > $i > $i).
% 6.89/1.53 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 6.89/1.53 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 6.89/1.53 thf(c_1_type, type, c_1: $i).
% 6.89/1.53 thf(c_0_type, type, c_0: $i).
% 6.89/1.53 thf(class_OrderedGroup_Opordered__ab__group__add_type, type, class_OrderedGroup_Opordered__ab__group__add:
% 6.89/1.53 $i > $o).
% 6.89/1.53 thf(class_Ring__and__Field_Oordered__field_type, type, class_Ring__and__Field_Oordered__field:
% 6.89/1.53 $i > $o).
% 6.89/1.53 thf(tfree_tcs, conjecture,
% 6.89/1.53 (~( class_Ring__and__Field_Oordered__field @ t_a ))).
% 6.89/1.53 thf(zf_stmt_0, negated_conjecture,
% 6.89/1.53 (class_Ring__and__Field_Oordered__field @ t_a),
% 6.89/1.53 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 6.89/1.53 thf(zip_derived_cl933, plain,
% 6.89/1.53 ( (class_Ring__and__Field_Oordered__field @ t_a)),
% 6.89/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.89/1.53 thf(clsrel_Ring__and__Field_Oordered__field_0, axiom,
% 6.89/1.53 (( ~( class_Ring__and__Field_Oordered__field @ T ) ) |
% 6.89/1.53 ( class_Ring__and__Field_Ofield @ T ))).
% 6.89/1.53 thf(zip_derived_cl847, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 6.89/1.53 | (class_Ring__and__Field_Ofield @ X0))),
% 6.89/1.53 inference('cnf', [status(esa)],
% 6.89/1.53 [clsrel_Ring__and__Field_Oordered__field_0])).
% 6.89/1.53 thf(zip_derived_cl3437, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl933, zip_derived_cl847])).
% 6.89/1.53 thf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0, axiom,
% 6.89/1.53 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) | ( ( V_a ) = ( c_0 ) ) |
% 6.89/1.53 ( ( c_times @ ( c_HOL_Oinverse @ V_a @ T_a ) @ V_a @ T_a ) = ( c_1 ) ))).
% 6.89/1.53 thf(zip_derived_cl594, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (class_Ring__and__Field_Ofield @ X0)
% 6.89/1.53 | ((X1) = (c_0))
% 6.89/1.53 | ((c_times @ (c_HOL_Oinverse @ X1 @ X0) @ X1 @ X0) = (c_1)))),
% 6.89/1.53 inference('cnf', [status(esa)],
% 6.89/1.53 [cls_Ring__and__Field_Ofield__class_Oaxioms__1_0])).
% 6.89/1.53 thf(zip_derived_cl3448, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (((c_times @ (c_HOL_Oinverse @ X0 @ t_a) @ X0 @ t_a) = (c_1))
% 6.89/1.53 | ((X0) = (c_0)))),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl3437, zip_derived_cl594])).
% 6.89/1.53 thf(cls_conjecture_1, conjecture,
% 6.89/1.53 (c_lessequals @
% 6.89/1.53 c_1 @ ( c_times @ V_U @ ( c_HOL_Oabs @ v_c @ t_a ) @ t_a ) @ t_a)).
% 6.89/1.53 thf(zf_stmt_1, negated_conjecture,
% 6.89/1.53 (~( c_lessequals @
% 6.89/1.53 c_1 @ ( c_times @ V_U @ ( c_HOL_Oabs @ v_c @ t_a ) @ t_a ) @ t_a )),
% 6.89/1.53 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 6.89/1.53 thf(zip_derived_cl934, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 ~ (c_lessequals @ c_1 @
% 6.89/1.53 (c_times @ X0 @ (c_HOL_Oabs @ v_c @ t_a) @ t_a) @ t_a)),
% 6.89/1.53 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.89/1.53 thf(zip_derived_cl6434, plain,
% 6.89/1.53 ((~ (c_lessequals @ c_1 @ c_1 @ t_a) | ((c_HOL_Oabs @ v_c @ t_a) = (c_0)))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl3448, zip_derived_cl934])).
% 6.89/1.53 thf(cls_OrderedGroup_Odiff__self_0, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 6.89/1.53 ( ( c_minus @ V_a @ V_a @ T_a ) = ( c_0 ) ))).
% 6.89/1.53 thf(zip_derived_cl438, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 6.89/1.53 | ((c_minus @ X1 @ X1 @ X0) = (c_0)))),
% 6.89/1.53 inference('cnf', [status(esa)], [cls_OrderedGroup_Odiff__self_0])).
% 6.89/1.53 thf(cls_OrderedGroup_Odiff__le__0__iff__le_0, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 6.89/1.53 ( ~( c_lessequals @ ( c_minus @ V_a @ V_b @ T_a ) @ c_0 @ T_a ) ) |
% 6.89/1.53 ( c_lessequals @ V_a @ V_b @ T_a ))).
% 6.89/1.53 thf(zip_derived_cl433, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 6.89/1.53 | ~ (c_lessequals @ (c_minus @ X1 @ X2 @ X0) @ c_0 @ X0)
% 6.89/1.53 | (c_lessequals @ X1 @ X2 @ X0))),
% 6.89/1.53 inference('cnf', [status(esa)],
% 6.89/1.53 [cls_OrderedGroup_Odiff__le__0__iff__le_0])).
% 6.89/1.53 thf(cls_OrderedGroup_Ominus__minus_0, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 6.89/1.53 ( ( c_uminus @ ( c_uminus @ V_y @ T_a ) @ T_a ) = ( V_y ) ))).
% 6.89/1.53 thf(zip_derived_cl445, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 6.89/1.53 | ((c_uminus @ (c_uminus @ X1 @ X0) @ X0) = (X1)))),
% 6.89/1.53 inference('cnf', [status(esa)], [cls_OrderedGroup_Ominus__minus_0])).
% 6.89/1.53 thf(zip_derived_cl3437, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl933, zip_derived_cl847])).
% 6.89/1.53 thf(clsrel_Ring__and__Field_Ofield_23, axiom,
% 6.89/1.53 (( ~( class_Ring__and__Field_Ofield @ T ) ) |
% 6.89/1.53 ( class_OrderedGroup_Ocomm__monoid__add @ T ))).
% 6.89/1.53 thf(zip_derived_cl833, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (class_Ring__and__Field_Ofield @ X0)
% 6.89/1.53 | (class_OrderedGroup_Ocomm__monoid__add @ X0))),
% 6.89/1.53 inference('cnf', [status(esa)], [clsrel_Ring__and__Field_Ofield_23])).
% 6.89/1.53 thf(cls_OrderedGroup_Oadd__0__right_0, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Ocomm__monoid__add @ T_a ) ) |
% 6.89/1.53 ( ( c_plus @ V_y @ c_0 @ T_a ) = ( V_y ) ))).
% 6.89/1.53 thf(zip_derived_cl428, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Ocomm__monoid__add @ X0)
% 6.89/1.53 | ((c_plus @ X1 @ c_0 @ X0) = (X1)))),
% 6.89/1.53 inference('cnf', [status(esa)], [cls_OrderedGroup_Oadd__0__right_0])).
% 6.89/1.53 thf(zip_derived_cl3375, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (class_Ring__and__Field_Ofield @ X0)
% 6.89/1.53 | ((c_plus @ X1 @ c_0 @ X0) = (X1)))),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl833, zip_derived_cl428])).
% 6.89/1.53 thf(zip_derived_cl3461, plain,
% 6.89/1.53 (![X0 : $i]: ((c_plus @ X0 @ c_0 @ t_a) = (X0))),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl3437, zip_derived_cl3375])).
% 6.89/1.53 thf(cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 6.89/1.53 ( ( c_plus @ ( c_uminus @ V_a @ T_a ) @ V_a @ T_a ) = ( c_0 ) ))).
% 6.89/1.53 thf(zip_derived_cl414, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 6.89/1.53 | ((c_plus @ (c_uminus @ X1 @ X0) @ X1 @ X0) = (c_0)))),
% 6.89/1.53 inference('cnf', [status(esa)],
% 6.89/1.53 [cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0])).
% 6.89/1.53 thf(zip_derived_cl8525, plain,
% 6.89/1.53 ((((c_uminus @ c_0 @ t_a) = (c_0))
% 6.89/1.53 | ~ (class_OrderedGroup_Oab__group__add @ t_a))),
% 6.89/1.53 inference('sup+', [status(thm)], [zip_derived_cl3461, zip_derived_cl414])).
% 6.89/1.53 thf(zip_derived_cl3437, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl933, zip_derived_cl847])).
% 6.89/1.53 thf(clsrel_Ring__and__Field_Ofield_4, axiom,
% 6.89/1.53 (( ~( class_Ring__and__Field_Ofield @ T ) ) |
% 6.89/1.53 ( class_OrderedGroup_Oab__group__add @ T ))).
% 6.89/1.53 thf(zip_derived_cl842, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (class_Ring__and__Field_Ofield @ X0)
% 6.89/1.53 | (class_OrderedGroup_Oab__group__add @ X0))),
% 6.89/1.53 inference('cnf', [status(esa)], [clsrel_Ring__and__Field_Ofield_4])).
% 6.89/1.53 thf(zip_derived_cl3457, plain, ( (class_OrderedGroup_Oab__group__add @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl3437, zip_derived_cl842])).
% 6.89/1.53 thf(zip_derived_cl8533, plain, (((c_uminus @ c_0 @ t_a) = (c_0))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8525, zip_derived_cl3457])).
% 6.89/1.53 thf(cls_OrderedGroup_Oneg__equal__iff__equal_0, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 6.89/1.53 ( ( c_uminus @ V_a @ T_a ) != ( c_uminus @ V_b @ T_a ) ) |
% 6.89/1.53 ( ( V_a ) = ( V_b ) ))).
% 6.89/1.53 thf(zip_derived_cl454, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 6.89/1.53 | ((c_uminus @ X2 @ X0) != (c_uminus @ X1 @ X0))
% 6.89/1.53 | ((X2) = (X1)))),
% 6.89/1.53 inference('cnf', [status(esa)],
% 6.89/1.53 [cls_OrderedGroup_Oneg__equal__iff__equal_0])).
% 6.89/1.53 thf(zip_derived_cl8561, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (((c_uminus @ X0 @ t_a) != (c_0))
% 6.89/1.53 | ((X0) = (c_0))
% 6.89/1.53 | ~ (class_OrderedGroup_Oab__group__add @ t_a))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl8533, zip_derived_cl454])).
% 6.89/1.53 thf(zip_derived_cl3457, plain, ( (class_OrderedGroup_Oab__group__add @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl3437, zip_derived_cl842])).
% 6.89/1.53 thf(zip_derived_cl8575, plain,
% 6.89/1.53 (![X0 : $i]: (((c_uminus @ X0 @ t_a) != (c_0)) | ((X0) = (c_0)))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8561, zip_derived_cl3457])).
% 6.89/1.53 thf(zip_derived_cl8586, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (((X0) != (c_0))
% 6.89/1.53 | ~ (class_OrderedGroup_Oab__group__add @ t_a)
% 6.89/1.53 | ((c_uminus @ X0 @ t_a) = (c_0)))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl445, zip_derived_cl8575])).
% 6.89/1.53 thf(zip_derived_cl3457, plain, ( (class_OrderedGroup_Oab__group__add @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl3437, zip_derived_cl842])).
% 6.89/1.53 thf(zip_derived_cl8591, plain,
% 6.89/1.53 (![X0 : $i]: (((X0) != (c_0)) | ((c_uminus @ X0 @ t_a) = (c_0)))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8586, zip_derived_cl3457])).
% 6.89/1.53 thf(zip_derived_cl8591, plain,
% 6.89/1.53 (![X0 : $i]: (((X0) != (c_0)) | ((c_uminus @ X0 @ t_a) = (c_0)))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8586, zip_derived_cl3457])).
% 6.89/1.53 thf(cls_OrderedGroup_Oneg__le__iff__le_0, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 6.89/1.53 ( ~( c_lessequals @
% 6.89/1.53 ( c_uminus @ V_b @ T_a ) @ ( c_uminus @ V_a @ T_a ) @ T_a ) ) |
% 6.89/1.53 ( c_lessequals @ V_a @ V_b @ T_a ))).
% 6.89/1.53 thf(zip_derived_cl457, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 6.89/1.53 | ~ (c_lessequals @ (c_uminus @ X1 @ X0) @ (c_uminus @ X2 @ X0) @ X0)
% 6.89/1.53 | (c_lessequals @ X2 @ X1 @ X0))),
% 6.89/1.53 inference('cnf', [status(esa)], [cls_OrderedGroup_Oneg__le__iff__le_0])).
% 6.89/1.53 thf(zip_derived_cl8631, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (c_lessequals @ c_0 @ (c_uminus @ X0 @ t_a) @ t_a)
% 6.89/1.53 | ((X1) != (c_0))
% 6.89/1.53 | (c_lessequals @ X0 @ X1 @ t_a)
% 6.89/1.53 | ~ (class_OrderedGroup_Opordered__ab__group__add @ t_a))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl8591, zip_derived_cl457])).
% 6.89/1.53 thf(clsrel_OrderedGroup_Olordered__ab__group__abs_1, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T ) ) |
% 6.89/1.53 ( class_OrderedGroup_Opordered__ab__group__add @ T ))).
% 6.89/1.53 thf(zip_derived_cl759, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 6.89/1.53 | (class_OrderedGroup_Opordered__ab__group__add @ X0))),
% 6.89/1.53 inference('cnf', [status(esa)],
% 6.89/1.53 [clsrel_OrderedGroup_Olordered__ab__group__abs_1])).
% 6.89/1.53 thf(zip_derived_cl933, plain,
% 6.89/1.53 ( (class_Ring__and__Field_Oordered__field @ t_a)),
% 6.89/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.89/1.53 thf(clsrel_Ring__and__Field_Oordered__field_47, axiom,
% 6.89/1.53 (( ~( class_Ring__and__Field_Oordered__field @ T ) ) |
% 6.89/1.53 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 6.89/1.53 thf(zip_derived_cl852, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 6.89/1.53 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 6.89/1.53 inference('cnf', [status(esa)],
% 6.89/1.53 [clsrel_Ring__and__Field_Oordered__field_47])).
% 6.89/1.53 thf(zip_derived_cl3441, plain,
% 6.89/1.53 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl933, zip_derived_cl852])).
% 6.89/1.53 thf(zip_derived_cl5529, plain,
% 6.89/1.53 ( (class_OrderedGroup_Opordered__ab__group__add @ t_a)),
% 6.89/1.53 inference('sup+', [status(thm)], [zip_derived_cl759, zip_derived_cl3441])).
% 6.89/1.53 thf(zip_derived_cl8648, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (c_lessequals @ c_0 @ (c_uminus @ X0 @ t_a) @ t_a)
% 6.89/1.53 | ((X1) != (c_0))
% 6.89/1.53 | (c_lessequals @ X0 @ X1 @ t_a))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8631, zip_derived_cl5529])).
% 6.89/1.53 thf(zip_derived_cl8870, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (c_lessequals @ c_0 @ c_0 @ t_a)
% 6.89/1.53 | ((X0) != (c_0))
% 6.89/1.53 | (c_lessequals @ X0 @ X1 @ t_a)
% 6.89/1.53 | ((X1) != (c_0)))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl8591, zip_derived_cl8648])).
% 6.89/1.53 thf(cls_OrderedGroup_Oabs__0__eq_1, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 6.89/1.53 ( ( c_0 ) = ( c_HOL_Oabs @ c_0 @ T_a ) ))).
% 6.89/1.53 thf(zip_derived_cl416, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 6.89/1.53 | ((c_0) = (c_HOL_Oabs @ c_0 @ X0)))),
% 6.89/1.53 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__0__eq_1])).
% 6.89/1.53 thf(cls_OrderedGroup_Oabs__le__zero__iff_1, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 6.89/1.53 ( c_lessequals @ ( c_HOL_Oabs @ c_0 @ T_a ) @ c_0 @ T_a ))).
% 6.89/1.53 thf(zip_derived_cl423, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 6.89/1.53 | (c_lessequals @ (c_HOL_Oabs @ c_0 @ X0) @ c_0 @ X0))),
% 6.89/1.53 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__le__zero__iff_1])).
% 6.89/1.53 thf(zip_derived_cl445, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 6.89/1.53 | ((c_uminus @ (c_uminus @ X1 @ X0) @ X0) = (X1)))),
% 6.89/1.53 inference('cnf', [status(esa)], [cls_OrderedGroup_Ominus__minus_0])).
% 6.89/1.53 thf(zip_derived_cl8533, plain, (((c_uminus @ c_0 @ t_a) = (c_0))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8525, zip_derived_cl3457])).
% 6.89/1.53 thf(zip_derived_cl457, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 6.89/1.53 | ~ (c_lessequals @ (c_uminus @ X1 @ X0) @ (c_uminus @ X2 @ X0) @ X0)
% 6.89/1.53 | (c_lessequals @ X2 @ X1 @ X0))),
% 6.89/1.53 inference('cnf', [status(esa)], [cls_OrderedGroup_Oneg__le__iff__le_0])).
% 6.89/1.53 thf(zip_derived_cl8567, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (c_lessequals @ (c_uminus @ X0 @ t_a) @ c_0 @ t_a)
% 6.89/1.53 | (c_lessequals @ c_0 @ X0 @ t_a)
% 6.89/1.53 | ~ (class_OrderedGroup_Opordered__ab__group__add @ t_a))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl8533, zip_derived_cl457])).
% 6.89/1.53 thf(zip_derived_cl5529, plain,
% 6.89/1.53 ( (class_OrderedGroup_Opordered__ab__group__add @ t_a)),
% 6.89/1.53 inference('sup+', [status(thm)], [zip_derived_cl759, zip_derived_cl3441])).
% 6.89/1.53 thf(zip_derived_cl8581, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (c_lessequals @ (c_uminus @ X0 @ t_a) @ c_0 @ t_a)
% 6.89/1.53 | (c_lessequals @ c_0 @ X0 @ t_a))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8567, zip_derived_cl5529])).
% 6.89/1.53 thf(zip_derived_cl8773, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (c_lessequals @ X0 @ c_0 @ t_a)
% 6.89/1.53 | ~ (class_OrderedGroup_Oab__group__add @ t_a)
% 6.89/1.53 | (c_lessequals @ c_0 @ (c_uminus @ X0 @ t_a) @ t_a))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl445, zip_derived_cl8581])).
% 6.89/1.53 thf(zip_derived_cl3457, plain, ( (class_OrderedGroup_Oab__group__add @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl3437, zip_derived_cl842])).
% 6.89/1.53 thf(zip_derived_cl8776, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (~ (c_lessequals @ X0 @ c_0 @ t_a)
% 6.89/1.53 | (c_lessequals @ c_0 @ (c_uminus @ X0 @ t_a) @ t_a))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8773, zip_derived_cl3457])).
% 6.89/1.53 thf(zip_derived_cl8786, plain,
% 6.89/1.53 ((~ (class_OrderedGroup_Olordered__ab__group__abs @ t_a)
% 6.89/1.53 | (c_lessequals @ c_0 @ (c_uminus @ (c_HOL_Oabs @ c_0 @ t_a) @ t_a) @
% 6.89/1.53 t_a))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl423, zip_derived_cl8776])).
% 6.89/1.53 thf(zip_derived_cl3441, plain,
% 6.89/1.53 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl933, zip_derived_cl852])).
% 6.89/1.53 thf(zip_derived_cl8788, plain,
% 6.89/1.53 ( (c_lessequals @ c_0 @ (c_uminus @ (c_HOL_Oabs @ c_0 @ t_a) @ t_a) @ t_a)),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8786, zip_derived_cl3441])).
% 6.89/1.53 thf(zip_derived_cl8794, plain,
% 6.89/1.53 (( (c_lessequals @ c_0 @ (c_uminus @ c_0 @ t_a) @ t_a)
% 6.89/1.53 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_a))),
% 6.89/1.53 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl8788])).
% 6.89/1.53 thf(zip_derived_cl8533, plain, (((c_uminus @ c_0 @ t_a) = (c_0))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8525, zip_derived_cl3457])).
% 6.89/1.53 thf(zip_derived_cl3441, plain,
% 6.89/1.53 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl933, zip_derived_cl852])).
% 6.89/1.53 thf(zip_derived_cl8796, plain, ( (c_lessequals @ c_0 @ c_0 @ t_a)),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8794, zip_derived_cl8533, zip_derived_cl3441])).
% 6.89/1.53 thf(zip_derived_cl8877, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (((X0) != (c_0)) | (c_lessequals @ X0 @ X1 @ t_a) | ((X1) != (c_0)))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8870, zip_derived_cl8796])).
% 6.89/1.53 thf(zip_derived_cl8996, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 ( (c_lessequals @ X1 @ X0 @ t_a)
% 6.89/1.53 | ~ (class_OrderedGroup_Opordered__ab__group__add @ t_a)
% 6.89/1.53 | ((c_0) != (c_0))
% 6.89/1.53 | ((c_minus @ X1 @ X0 @ t_a) != (c_0)))),
% 6.89/1.53 inference('sup+', [status(thm)], [zip_derived_cl433, zip_derived_cl8877])).
% 6.89/1.53 thf(zip_derived_cl5529, plain,
% 6.89/1.53 ( (class_OrderedGroup_Opordered__ab__group__add @ t_a)),
% 6.89/1.53 inference('sup+', [status(thm)], [zip_derived_cl759, zip_derived_cl3441])).
% 6.89/1.53 thf(zip_derived_cl9020, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 ( (c_lessequals @ X1 @ X0 @ t_a)
% 6.89/1.53 | ((c_0) != (c_0))
% 6.89/1.53 | ((c_minus @ X1 @ X0 @ t_a) != (c_0)))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl8996, zip_derived_cl5529])).
% 6.89/1.53 thf(zip_derived_cl9021, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (((c_minus @ X1 @ X0 @ t_a) != (c_0))
% 6.89/1.53 | (c_lessequals @ X1 @ X0 @ t_a))),
% 6.89/1.53 inference('simplify', [status(thm)], [zip_derived_cl9020])).
% 6.89/1.53 thf(zip_derived_cl9149, plain,
% 6.89/1.53 (![X0 : $i]:
% 6.89/1.53 (((c_0) != (c_0))
% 6.89/1.53 | ~ (class_OrderedGroup_Oab__group__add @ t_a)
% 6.89/1.53 | (c_lessequals @ X0 @ X0 @ t_a))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl438, zip_derived_cl9021])).
% 6.89/1.53 thf(zip_derived_cl3457, plain, ( (class_OrderedGroup_Oab__group__add @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl3437, zip_derived_cl842])).
% 6.89/1.53 thf(zip_derived_cl9154, plain,
% 6.89/1.53 (![X0 : $i]: (((c_0) != (c_0)) | (c_lessequals @ X0 @ X0 @ t_a))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl9149, zip_derived_cl3457])).
% 6.89/1.53 thf(zip_derived_cl9155, plain, (![X0 : $i]: (c_lessequals @ X0 @ X0 @ t_a)),
% 6.89/1.53 inference('simplify', [status(thm)], [zip_derived_cl9154])).
% 6.89/1.53 thf(zip_derived_cl9160, plain, (((c_HOL_Oabs @ v_c @ t_a) = (c_0))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl6434, zip_derived_cl9155])).
% 6.89/1.53 thf(cls_OrderedGroup_Oabs__0__eq_0, axiom,
% 6.89/1.53 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 6.89/1.53 ( ( c_0 ) != ( c_HOL_Oabs @ V_a @ T_a ) ) | ( ( V_a ) = ( c_0 ) ))).
% 6.89/1.53 thf(zip_derived_cl415, plain,
% 6.89/1.53 (![X0 : $i, X1 : $i]:
% 6.89/1.53 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 6.89/1.53 | ((c_0) != (c_HOL_Oabs @ X1 @ X0))
% 6.89/1.53 | ((X1) = (c_0)))),
% 6.89/1.53 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__0__eq_0])).
% 6.89/1.53 thf(zip_derived_cl9185, plain,
% 6.89/1.53 ((((c_0) != (c_0))
% 6.89/1.53 | ((v_c) = (c_0))
% 6.89/1.53 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_a))),
% 6.89/1.53 inference('sup-', [status(thm)], [zip_derived_cl9160, zip_derived_cl415])).
% 6.89/1.53 thf(zip_derived_cl3441, plain,
% 6.89/1.53 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_a)),
% 6.89/1.53 inference('dp-resolution', [status(thm)],
% 6.89/1.53 [zip_derived_cl933, zip_derived_cl852])).
% 6.89/1.53 thf(zip_derived_cl9191, plain, ((((c_0) != (c_0)) | ((v_c) = (c_0)))),
% 6.89/1.53 inference('demod', [status(thm)],
% 6.89/1.53 [zip_derived_cl9185, zip_derived_cl3441])).
% 6.89/1.53 thf(zip_derived_cl9192, plain, (((v_c) = (c_0))),
% 6.89/1.53 inference('simplify', [status(thm)], [zip_derived_cl9191])).
% 6.89/1.53 thf(cls_conjecture_0, conjecture, (( v_c ) = ( c_0 ))).
% 6.89/1.53 thf(zf_stmt_2, negated_conjecture, (( v_c ) != ( c_0 )),
% 6.89/1.53 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 6.89/1.53 thf(zip_derived_cl935, plain, (((v_c) != (c_0))),
% 6.89/1.53 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.89/1.53 thf(zip_derived_cl9193, plain, ($false),
% 6.89/1.53 inference('simplify_reflect-', [status(thm)],
% 6.89/1.53 [zip_derived_cl9192, zip_derived_cl935])).
% 6.89/1.53
% 6.89/1.53 % SZS output end Refutation
% 6.89/1.53
% 6.89/1.53
% 6.89/1.53 % Terminating...
% 7.33/1.65 % Runner terminated.
% 7.33/1.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------