%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA028-2 : 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.bvrSZjEn88 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 04:28:53 PM UTC 2025
% Result : Unsatisfiable 0.54s 0.94s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA028-2 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bvrSZjEn88 true
% 0.12/0.31 % Computer : n031.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 15:23:38 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.32 % Running in FO mode
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.94 % Solved by fo/fo13.sh.
% 0.54/0.94 % done 147 iterations in 0.146s
% 0.54/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.94 % SZS output start Refutation
% 0.54/0.94 thf(v_x_type, type, v_x: $i).
% 0.54/0.94 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.54/0.94 thf(class_OrderedGroup_Opordered__ab__group__add_type, type, class_OrderedGroup_Opordered__ab__group__add:
% 0.54/0.94 $i > $o).
% 0.54/0.94 thf(v_k_type, type, v_k: $i > $i).
% 0.54/0.94 thf(c_0_type, type, c_0: $i).
% 0.54/0.94 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 0.54/0.94 $i > $o).
% 0.54/0.94 thf(v_f_type, type, v_f: $i > $i).
% 0.54/0.94 thf(class_OrderedGroup_Ocomm__monoid__add_type, type, class_OrderedGroup_Ocomm__monoid__add:
% 0.54/0.94 $i > $o).
% 0.54/0.94 thf(c_plus_type, type, c_plus: $i > $i > $i > $i).
% 0.54/0.94 thf(t_b_type, type, t_b: $i).
% 0.54/0.94 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.54/0.94 $i > $o).
% 0.54/0.94 thf(v_g_type, type, v_g: $i > $i).
% 0.54/0.94 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.54/0.94 thf(cls_OrderedGroup_Ocompare__rls__5_0, axiom,
% 0.54/0.94 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 0.54/0.94 ( ( c_minus @ V_a @ ( c_minus @ V_b @ V_c @ T_a ) @ T_a ) =
% 0.54/0.94 ( c_minus @ ( c_plus @ V_a @ V_c @ T_a ) @ V_b @ T_a ) ))).
% 0.54/0.94 thf(zip_derived_cl3, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.54/0.94 | ((c_minus @ X1 @ (c_minus @ X3 @ X2 @ X0) @ X0)
% 0.54/0.94 = (c_minus @ (c_plus @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 0.54/0.94 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__5_0])).
% 0.54/0.94 thf(cls_OrderedGroup_Ocompare__rls__2_0, axiom,
% 0.54/0.94 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 0.54/0.94 ( ( c_plus @ V_a @ ( c_minus @ V_b @ V_c @ T_a ) @ T_a ) =
% 0.54/0.94 ( c_minus @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) ))).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.54/0.94 | ((c_plus @ X1 @ (c_minus @ X2 @ X3 @ X0) @ X0)
% 0.54/0.94 = (c_minus @ (c_plus @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 0.54/0.94 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__2_0])).
% 0.54/0.94 thf(zip_derived_cl28, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.54/0.94 | ~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.54/0.94 | ((c_plus @ X3 @ (c_minus @ X1 @ X2 @ X0) @ X0)
% 0.54/0.94 = (c_minus @ X3 @ (c_minus @ X2 @ X1 @ X0) @ X0)))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.54/0.94 thf(zip_derived_cl34, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (((c_plus @ X3 @ (c_minus @ X1 @ X2 @ X0) @ X0)
% 0.54/0.94 = (c_minus @ X3 @ (c_minus @ X2 @ X1 @ X0) @ X0))
% 0.54/0.94 | ~ (class_OrderedGroup_Oab__group__add @ X0))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl28])).
% 0.54/0.94 thf(clsrel_Ring__and__Field_Oordered__idom_54, axiom,
% 0.54/0.94 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.54/0.94 ( class_OrderedGroup_Opordered__ab__group__add @ T ))).
% 0.54/0.94 thf(zip_derived_cl11, plain,
% 0.54/0.94 (![X0 : $i]:
% 0.54/0.94 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.54/0.94 | (class_OrderedGroup_Opordered__ab__group__add @ X0))),
% 0.54/0.94 inference('cnf', [status(esa)],
% 0.54/0.94 [clsrel_Ring__and__Field_Oordered__idom_54])).
% 0.54/0.94 thf(zip_derived_cl34, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (((c_plus @ X3 @ (c_minus @ X1 @ X2 @ X0) @ X0)
% 0.54/0.94 = (c_minus @ X3 @ (c_minus @ X2 @ X1 @ X0) @ X0))
% 0.54/0.94 | ~ (class_OrderedGroup_Oab__group__add @ X0))),
% 0.54/0.94 inference('simplify', [status(thm)], [zip_derived_cl28])).
% 0.54/0.94 thf(zip_derived_cl11, plain,
% 0.54/0.94 (![X0 : $i]:
% 0.54/0.94 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.54/0.94 | (class_OrderedGroup_Opordered__ab__group__add @ X0))),
% 0.54/0.94 inference('cnf', [status(esa)],
% 0.54/0.94 [clsrel_Ring__and__Field_Oordered__idom_54])).
% 0.54/0.94 thf(cls_conjecture_3, conjecture,
% 0.54/0.94 (c_lessequals @
% 0.54/0.94 ( c_minus @ ( v_f @ v_x ) @ ( v_k @ v_x ) @ t_b ) @
% 0.54/0.94 ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b)).
% 0.54/0.94 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.94 (~( c_lessequals @
% 0.54/0.94 ( c_minus @ ( v_f @ v_x ) @ ( v_k @ v_x ) @ t_b ) @
% 0.54/0.94 ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.54/0.94 thf(zip_derived_cl8, plain,
% 0.54/0.94 (~ (c_lessequals @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 0.54/0.94 (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.94 thf(cls_OrderedGroup_Ocompare__rls__9_1, axiom,
% 0.54/0.94 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 0.54/0.94 ( ~( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) ) |
% 0.54/0.94 ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ))).
% 0.54/0.94 thf(zip_derived_cl5, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 0.54/0.94 | ~ (c_lessequals @ (c_plus @ X1 @ X2 @ X0) @ X3 @ X0)
% 0.54/0.94 | (c_lessequals @ X1 @ (c_minus @ X3 @ X2 @ X0) @ X0))),
% 0.54/0.94 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__9_1])).
% 0.54/0.94 thf(zip_derived_cl186, plain,
% 0.54/0.94 ((~ (class_OrderedGroup_Opordered__ab__group__add @ t_b)
% 0.54/0.94 | ~ (c_lessequals @
% 0.54/0.94 (c_plus @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 0.54/0.94 (v_g @ v_x) @ t_b) @
% 0.54/0.94 (v_f @ v_x) @ t_b))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.54/0.94 thf(zip_derived_cl199, plain,
% 0.54/0.94 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 0.54/0.94 | ~ (c_lessequals @
% 0.54/0.94 (c_plus @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 0.54/0.94 (v_g @ v_x) @ t_b) @
% 0.54/0.94 (v_f @ v_x) @ t_b))),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl186])).
% 0.54/0.94 thf(tfree_tcs, conjecture,
% 0.54/0.94 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 0.54/0.94 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.94 (class_Ring__and__Field_Oordered__idom @ t_b),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.54/0.94 thf(zip_derived_cl12, plain,
% 0.54/0.94 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.94 thf(zip_derived_cl200, plain,
% 0.54/0.94 (~ (c_lessequals @
% 0.54/0.94 (c_plus @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 0.54/0.94 (v_g @ v_x) @ t_b) @
% 0.54/0.94 (v_f @ v_x) @ t_b)),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl12])).
% 0.54/0.94 thf(zip_derived_cl12, plain,
% 0.54/0.94 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.94 thf(clsrel_Ring__and__Field_Oordered__idom_4, axiom,
% 0.54/0.94 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.54/0.94 ( class_OrderedGroup_Oab__group__add @ T ))).
% 0.54/0.94 thf(zip_derived_cl10, plain,
% 0.54/0.94 (![X0 : $i]:
% 0.54/0.94 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.54/0.94 | (class_OrderedGroup_Oab__group__add @ X0))),
% 0.54/0.94 inference('cnf', [status(esa)],
% 0.54/0.94 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 0.54/0.94 thf(zip_derived_cl13, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.54/0.94 thf(cls_OrderedGroup_Odiff__self_0, axiom,
% 0.54/0.94 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 0.54/0.94 ( ( c_minus @ V_a @ V_a @ T_a ) = ( c_0 ) ))).
% 0.54/0.94 thf(zip_derived_cl6, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.54/0.94 | ((c_minus @ X1 @ X1 @ X0) = (c_0)))),
% 0.54/0.94 inference('cnf', [status(esa)], [cls_OrderedGroup_Odiff__self_0])).
% 0.54/0.94 thf(zip_derived_cl15, plain,
% 0.54/0.94 (![X0 : $i]: ((c_minus @ X0 @ X0 @ t_b) = (c_0))),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl6])).
% 0.54/0.94 thf(clsrel_Ring__and__Field_Oordered__idom_23, axiom,
% 0.54/0.94 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.54/0.94 ( class_OrderedGroup_Ocomm__monoid__add @ T ))).
% 0.54/0.94 thf(zip_derived_cl9, plain,
% 0.54/0.94 (![X0 : $i]:
% 0.54/0.94 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.54/0.94 | (class_OrderedGroup_Ocomm__monoid__add @ X0))),
% 0.54/0.94 inference('cnf', [status(esa)],
% 0.54/0.94 [clsrel_Ring__and__Field_Oordered__idom_23])).
% 0.54/0.94 thf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0, axiom,
% 0.54/0.94 (( ~( class_OrderedGroup_Ocomm__monoid__add @ T_a ) ) |
% 0.54/0.94 ( ( c_plus @ c_0 @ V_y @ T_a ) = ( V_y ) ))).
% 0.54/0.94 thf(zip_derived_cl0, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Ocomm__monoid__add @ X0)
% 0.54/0.94 | ((c_plus @ c_0 @ X1 @ X0) = (X1)))),
% 0.54/0.94 inference('cnf', [status(esa)],
% 0.54/0.94 [cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0])).
% 0.54/0.94 thf(zip_derived_cl14, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.54/0.94 | ((c_plus @ c_0 @ X1 @ X0) = (X1)))),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 0.54/0.94 thf(zip_derived_cl12, plain,
% 0.54/0.94 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.94 thf(zip_derived_cl16, plain,
% 0.54/0.94 (![X0 : $i]: ((c_plus @ c_0 @ X0 @ t_b) = (X0))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl12])).
% 0.54/0.94 thf(cls_OrderedGroup_Ocompare__rls__3_0, axiom,
% 0.54/0.94 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 0.54/0.94 ( ( c_plus @ ( c_minus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) =
% 0.54/0.94 ( c_minus @ ( c_plus @ V_a @ V_c @ T_a ) @ V_b @ T_a ) ))).
% 0.54/0.94 thf(zip_derived_cl2, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.54/0.94 | ((c_plus @ (c_minus @ X1 @ X3 @ X0) @ X2 @ X0)
% 0.54/0.94 = (c_minus @ (c_plus @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 0.54/0.94 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__3_0])).
% 0.54/0.94 thf(zip_derived_cl88, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ t_b)
% 0.54/0.94 | ((c_plus @ (c_minus @ c_0 @ X1 @ t_b) @ X0 @ t_b)
% 0.54/0.94 = (c_minus @ X0 @ X1 @ t_b)))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl2])).
% 0.54/0.94 thf(zip_derived_cl13, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.54/0.94 thf(zip_derived_cl93, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_plus @ (c_minus @ c_0 @ X1 @ t_b) @ X0 @ t_b)
% 0.54/0.94 = (c_minus @ X0 @ X1 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl285, plain,
% 0.54/0.94 (![X0 : $i]: ((c_plus @ c_0 @ X0 @ t_b) = (c_minus @ X0 @ c_0 @ t_b))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl93])).
% 0.54/0.94 thf(zip_derived_cl16, plain,
% 0.54/0.94 (![X0 : $i]: ((c_plus @ c_0 @ X0 @ t_b) = (X0))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl12])).
% 0.54/0.94 thf(zip_derived_cl292, plain,
% 0.54/0.94 (![X0 : $i]: ((X0) = (c_minus @ X0 @ c_0 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl285, zip_derived_cl16])).
% 0.54/0.94 thf(zip_derived_cl3, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.54/0.94 | ((c_minus @ X1 @ (c_minus @ X3 @ X2 @ X0) @ X0)
% 0.54/0.94 = (c_minus @ (c_plus @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 0.54/0.94 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__5_0])).
% 0.54/0.94 thf(zip_derived_cl308, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ t_b)
% 0.54/0.94 | ((c_minus @ X1 @ (c_minus @ c_0 @ X0 @ t_b) @ t_b)
% 0.54/0.94 = (c_plus @ X1 @ X0 @ t_b)))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl3])).
% 0.54/0.94 thf(zip_derived_cl13, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.54/0.94 thf(zip_derived_cl316, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_minus @ X1 @ (c_minus @ c_0 @ X0 @ t_b) @ t_b)
% 0.54/0.94 = (c_plus @ X1 @ X0 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl93, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_plus @ (c_minus @ c_0 @ X1 @ t_b) @ X0 @ t_b)
% 0.54/0.94 = (c_minus @ X0 @ X1 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl416, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_plus @ (c_plus @ c_0 @ X0 @ t_b) @ X1 @ t_b)
% 0.54/0.94 = (c_minus @ X1 @ (c_minus @ c_0 @ X0 @ t_b) @ t_b))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl316, zip_derived_cl93])).
% 0.54/0.94 thf(zip_derived_cl16, plain,
% 0.54/0.94 (![X0 : $i]: ((c_plus @ c_0 @ X0 @ t_b) = (X0))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl12])).
% 0.54/0.94 thf(zip_derived_cl316, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_minus @ X1 @ (c_minus @ c_0 @ X0 @ t_b) @ t_b)
% 0.54/0.94 = (c_plus @ X1 @ X0 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl448, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_plus @ X0 @ X1 @ t_b) = (c_plus @ X1 @ X0 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)],
% 0.54/0.94 [zip_derived_cl416, zip_derived_cl16, zip_derived_cl316])).
% 0.54/0.94 thf(zip_derived_cl475, plain,
% 0.54/0.94 (~ (c_lessequals @
% 0.54/0.94 (c_plus @ (v_g @ v_x) @
% 0.54/0.94 (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ t_b) @
% 0.54/0.94 (v_f @ v_x) @ t_b)),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl448])).
% 0.54/0.94 thf(zip_derived_cl785, plain,
% 0.54/0.94 ((~ (class_OrderedGroup_Oab__group__add @ t_b)
% 0.54/0.94 | ~ (c_lessequals @
% 0.54/0.94 (c_minus @ (v_g @ v_x) @
% 0.54/0.94 (c_minus @ (v_k @ v_x) @ (v_f @ v_x) @ t_b) @ t_b) @
% 0.54/0.94 (v_f @ v_x) @ t_b))),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl475])).
% 0.54/0.94 thf(zip_derived_cl13, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.54/0.94 thf(zip_derived_cl840, plain,
% 0.54/0.94 (~ (c_lessequals @
% 0.54/0.94 (c_minus @ (v_g @ v_x) @
% 0.54/0.94 (c_minus @ (v_k @ v_x) @ (v_f @ v_x) @ t_b) @ t_b) @
% 0.54/0.94 (v_f @ v_x) @ t_b)),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl785, zip_derived_cl13])).
% 0.54/0.94 thf(cls_OrderedGroup_Ocompare__rls__8_1, axiom,
% 0.54/0.94 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 0.54/0.94 ( ~( c_lessequals @ V_a @ ( c_plus @ V_c @ V_b @ T_a ) @ T_a ) ) |
% 0.54/0.94 ( c_lessequals @ ( c_minus @ V_a @ V_b @ T_a ) @ V_c @ T_a ))).
% 0.54/0.94 thf(zip_derived_cl4, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 0.54/0.94 | ~ (c_lessequals @ X1 @ (c_plus @ X2 @ X3 @ X0) @ X0)
% 0.54/0.94 | (c_lessequals @ (c_minus @ X1 @ X3 @ X0) @ X2 @ X0))),
% 0.54/0.94 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__8_1])).
% 0.54/0.94 thf(zip_derived_cl842, plain,
% 0.54/0.94 ((~ (class_OrderedGroup_Opordered__ab__group__add @ t_b)
% 0.54/0.94 | ~ (c_lessequals @ (v_g @ v_x) @
% 0.54/0.94 (c_plus @ (v_f @ v_x) @
% 0.54/0.94 (c_minus @ (v_k @ v_x) @ (v_f @ v_x) @ t_b) @ t_b) @
% 0.54/0.94 t_b))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl4])).
% 0.54/0.94 thf(zip_derived_cl843, plain,
% 0.54/0.94 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 0.54/0.94 | ~ (c_lessequals @ (v_g @ v_x) @
% 0.54/0.94 (c_plus @ (v_f @ v_x) @
% 0.54/0.94 (c_minus @ (v_k @ v_x) @ (v_f @ v_x) @ t_b) @ t_b) @
% 0.54/0.94 t_b))),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl842])).
% 0.54/0.94 thf(zip_derived_cl12, plain,
% 0.54/0.94 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.94 thf(zip_derived_cl844, plain,
% 0.54/0.94 (~ (c_lessequals @ (v_g @ v_x) @
% 0.54/0.94 (c_plus @ (v_f @ v_x) @
% 0.54/0.94 (c_minus @ (v_k @ v_x) @ (v_f @ v_x) @ t_b) @ t_b) @
% 0.54/0.94 t_b)),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl843, zip_derived_cl12])).
% 0.54/0.94 thf(zip_derived_cl846, plain,
% 0.54/0.94 ((~ (class_OrderedGroup_Oab__group__add @ t_b)
% 0.54/0.94 | ~ (c_lessequals @ (v_g @ v_x) @
% 0.54/0.94 (c_minus @ (v_f @ v_x) @
% 0.54/0.94 (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ t_b) @
% 0.54/0.94 t_b))),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl844])).
% 0.54/0.94 thf(zip_derived_cl13, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.54/0.94 thf(zip_derived_cl847, plain,
% 0.54/0.94 (~ (c_lessequals @ (v_g @ v_x) @
% 0.54/0.94 (c_minus @ (v_f @ v_x) @
% 0.54/0.94 (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ t_b) @
% 0.54/0.94 t_b)),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl846, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl93, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_plus @ (c_minus @ c_0 @ X1 @ t_b) @ X0 @ t_b)
% 0.54/0.94 = (c_minus @ X0 @ X1 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl1, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.54/0.94 | ((c_plus @ X1 @ (c_minus @ X2 @ X3 @ X0) @ X0)
% 0.54/0.94 = (c_minus @ (c_plus @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 0.54/0.94 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__2_0])).
% 0.54/0.94 thf(zip_derived_cl16, plain,
% 0.54/0.94 (![X0 : $i]: ((c_plus @ c_0 @ X0 @ t_b) = (X0))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl12])).
% 0.54/0.94 thf(zip_derived_cl3, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 0.54/0.94 | ((c_minus @ X1 @ (c_minus @ X3 @ X2 @ X0) @ X0)
% 0.54/0.94 = (c_minus @ (c_plus @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 0.54/0.94 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__5_0])).
% 0.54/0.94 thf(zip_derived_cl22, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ t_b)
% 0.54/0.94 | ((c_minus @ c_0 @ (c_minus @ X1 @ X0 @ t_b) @ t_b)
% 0.54/0.94 = (c_minus @ X0 @ X1 @ t_b)))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl3])).
% 0.54/0.94 thf(zip_derived_cl13, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.54/0.94 thf(zip_derived_cl25, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_minus @ c_0 @ (c_minus @ X1 @ X0 @ t_b) @ t_b)
% 0.54/0.94 = (c_minus @ X0 @ X1 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl39, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.94 (~ (class_OrderedGroup_Oab__group__add @ t_b)
% 0.54/0.94 | ((c_minus @ c_0 @
% 0.54/0.94 (c_plus @ X2 @ (c_minus @ X1 @ X0 @ t_b) @ t_b) @ t_b)
% 0.54/0.94 = (c_minus @ X0 @ (c_plus @ X2 @ X1 @ t_b) @ t_b)))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl25])).
% 0.54/0.94 thf(zip_derived_cl13, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 0.54/0.94 thf(zip_derived_cl43, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.94 ((c_minus @ c_0 @ (c_plus @ X2 @ (c_minus @ X1 @ X0 @ t_b) @ t_b) @
% 0.54/0.94 t_b) = (c_minus @ X0 @ (c_plus @ X2 @ X1 @ t_b) @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl875, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.94 ((c_minus @ c_0 @ (c_minus @ (c_minus @ X2 @ X1 @ t_b) @ X0 @ t_b) @
% 0.54/0.94 t_b)
% 0.54/0.94 = (c_minus @ X1 @
% 0.54/0.94 (c_plus @ (c_minus @ c_0 @ X0 @ t_b) @ X2 @ t_b) @ t_b))),
% 0.54/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl43])).
% 0.54/0.94 thf(zip_derived_cl25, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_minus @ c_0 @ (c_minus @ X1 @ X0 @ t_b) @ t_b)
% 0.54/0.94 = (c_minus @ X0 @ X1 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl93, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ((c_plus @ (c_minus @ c_0 @ X1 @ t_b) @ X0 @ t_b)
% 0.54/0.94 = (c_minus @ X0 @ X1 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl13])).
% 0.54/0.94 thf(zip_derived_cl900, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.94 ((c_minus @ X0 @ (c_minus @ X2 @ X1 @ t_b) @ t_b)
% 0.54/0.94 = (c_minus @ X1 @ (c_minus @ X2 @ X0 @ t_b) @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)],
% 0.54/0.94 [zip_derived_cl875, zip_derived_cl25, zip_derived_cl93])).
% 0.54/0.94 thf(zip_derived_cl15, plain,
% 0.54/0.94 (![X0 : $i]: ((c_minus @ X0 @ X0 @ t_b) = (c_0))),
% 0.54/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl6])).
% 0.54/0.94 thf(zip_derived_cl292, plain,
% 0.54/0.94 (![X0 : $i]: ((X0) = (c_minus @ X0 @ c_0 @ t_b))),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl285, zip_derived_cl16])).
% 0.54/0.94 thf(cls_conjecture_1, conjecture,
% 0.54/0.94 (~( c_lessequals @ ( v_g @ V_U ) @ ( v_k @ V_U ) @ t_b ))).
% 0.54/0.94 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.94 (c_lessequals @ ( v_g @ V_U ) @ ( v_k @ V_U ) @ t_b),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.54/0.94 thf(zip_derived_cl7, plain,
% 0.54/0.94 (![X0 : $i]: (c_lessequals @ (v_g @ X0) @ (v_k @ X0) @ t_b)),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.94 thf(zip_derived_cl920, plain, ($false),
% 0.54/0.94 inference('demod', [status(thm)],
% 0.54/0.94 [zip_derived_cl847, zip_derived_cl900, zip_derived_cl15,
% 0.54/0.94 zip_derived_cl292, zip_derived_cl7])).
% 0.54/0.94
% 0.54/0.94 % SZS output end Refutation
% 0.54/0.94
% 0.54/0.94
% 0.54/0.94 % Terminating...
% 1.32/1.13 % Runner terminated.
% 1.32/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------