TSTP Solution File: ANA023-10 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XvRJq53czJ true
% Computer : n005.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 17:25:58 EDT 2023
% Result : Unsatisfiable 0.20s 0.74s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XvRJq53czJ true
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 18:32:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % Solved by fo/fo6_bce.sh.
% 0.20/0.74 % BCE start: 14
% 0.20/0.74 % BCE eliminated: 0
% 0.20/0.74 % PE start: 14
% 0.20/0.74 logic: eq
% 0.20/0.74 % PE eliminated: 0
% 0.20/0.74 % done 67 iterations in 0.033s
% 0.20/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.74 % SZS output start Refutation
% 0.20/0.74 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.20/0.74 $i > $i).
% 0.20/0.74 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.20/0.74 thf(true_type, type, true: $i).
% 0.20/0.74 thf(t_b_type, type, t_b: $i).
% 0.20/0.74 thf(v_g_type, type, v_g: $i > $i).
% 0.20/0.74 thf(ifeq2_type, type, ifeq2: $i > $i > $i > $i > $i).
% 0.20/0.74 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $i).
% 0.20/0.74 thf(class_OrderedGroup_Ocomm__monoid__add_type, type, class_OrderedGroup_Ocomm__monoid__add:
% 0.20/0.74 $i > $i).
% 0.20/0.74 thf(v_x_type, type, v_x: $i).
% 0.20/0.74 thf(v_f_type, type, v_f: $i > $i).
% 0.20/0.74 thf(c_0_type, type, c_0: $i).
% 0.20/0.74 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $i).
% 0.20/0.74 thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $i).
% 0.20/0.74 thf(v_k_type, type, v_k: $i > $i).
% 0.20/0.74 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 0.20/0.74 thf(class_OrderedGroup_Opordered__ab__group__add_type, type, class_OrderedGroup_Opordered__ab__group__add:
% 0.20/0.74 $i > $i).
% 0.20/0.74 thf(c_plus_type, type, c_plus: $i > $i > $i > $i).
% 0.20/0.74 thf(cls_conjecture_2, conjecture,
% 0.20/0.74 (( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b ) != ( true ))).
% 0.20/0.74 thf(zf_stmt_0, negated_conjecture,
% 0.20/0.74 (( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b ) = ( true )),
% 0.20/0.74 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.20/0.74 thf(zip_derived_cl7, plain,
% 0.20/0.74 (((c_lessequals @ (v_k @ v_x) @ (v_f @ v_x) @ t_b) = (true))),
% 0.20/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.74 thf(cls_conjecture_1, conjecture,
% 0.20/0.74 (( c_lessequals @
% 0.20/0.74 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) !=
% 0.20/0.74 ( true ))).
% 0.20/0.74 thf(zf_stmt_1, negated_conjecture,
% 0.20/0.74 (( c_lessequals @
% 0.20/0.74 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) =
% 0.20/0.74 ( true )),
% 0.20/0.74 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.20/0.74 thf(zip_derived_cl6, plain,
% 0.20/0.74 (((c_lessequals @ c_0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)
% 0.20/0.74 = (true))),
% 0.20/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.20/0.74 thf(cls_OrderedGroup_Ocompare__rls__9_0, axiom,
% 0.20/0.74 (( ifeq @
% 0.20/0.74 ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @
% 0.20/0.74 ( ifeq @
% 0.20/0.74 ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true @
% 0.20/0.74 ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true ) @
% 0.20/0.74 true ) =
% 0.20/0.74 ( true ))).
% 0.20/0.74 thf(zip_derived_cl3, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.74 ((ifeq @ (class_OrderedGroup_Opordered__ab__group__add @ X0) @ true @
% 0.20/0.74 (ifeq @ (c_lessequals @ X1 @ (c_minus @ X2 @ X3 @ X0) @ X0) @
% 0.20/0.74 true @ (c_lessequals @ (c_plus @ X1 @ X3 @ X0) @ X2 @ X0) @ true) @
% 0.20/0.74 true) = (true))),
% 0.20/0.74 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__9_0])).
% 0.20/0.74 thf(zip_derived_cl21, plain,
% 0.20/0.74 (((ifeq @ (class_OrderedGroup_Opordered__ab__group__add @ t_b) @ true @
% 0.20/0.74 (ifeq @ true @ true @
% 0.20/0.74 (c_lessequals @ (c_plus @ c_0 @ (v_g @ v_x) @ t_b) @ (v_k @ v_x) @
% 0.20/0.74 t_b) @
% 0.20/0.74 true) @
% 0.20/0.74 true) = (true))),
% 0.20/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 0.20/0.74 thf(ifeq_axiom_001, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 0.20/0.74 thf(zip_derived_cl1, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.74 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.74 thf(zip_derived_cl22, plain,
% 0.20/0.74 (((ifeq @ (class_OrderedGroup_Opordered__ab__group__add @ t_b) @ true @
% 0.20/0.74 (c_lessequals @ (c_plus @ c_0 @ (v_g @ v_x) @ t_b) @ (v_k @ v_x) @ t_b) @
% 0.20/0.74 true) = (true))),
% 0.20/0.74 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 0.20/0.74 thf(tfree_tcs, conjecture,
% 0.20/0.74 (( class_Ring__and__Field_Oordered__idom @ t_b ) != ( true ))).
% 0.20/0.74 thf(zf_stmt_2, negated_conjecture,
% 0.20/0.74 (( class_Ring__and__Field_Oordered__idom @ t_b ) = ( true )),
% 0.20/0.74 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.20/0.74 thf(zip_derived_cl13, plain,
% 0.20/0.74 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 0.20/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.20/0.74 thf(clsrel_Ring__and__Field_Oordered__idom_54, axiom,
% 0.20/0.74 (( ifeq @
% 0.20/0.74 ( class_Ring__and__Field_Oordered__idom @ T ) @ true @
% 0.20/0.74 ( class_OrderedGroup_Opordered__ab__group__add @ T ) @ true ) =
% 0.20/0.74 ( true ))).
% 0.20/0.74 thf(zip_derived_cl12, plain,
% 0.20/0.74 (![X0 : $i]:
% 0.20/0.74 ((ifeq @ (class_Ring__and__Field_Oordered__idom @ X0) @ true @
% 0.20/0.74 (class_OrderedGroup_Opordered__ab__group__add @ X0) @ true) = (
% 0.20/0.74 true))),
% 0.20/0.74 inference('cnf', [status(esa)],
% 0.20/0.74 [clsrel_Ring__and__Field_Oordered__idom_54])).
% 0.20/0.74 thf(zip_derived_cl29, plain,
% 0.20/0.74 (((ifeq @ true @ true @
% 0.20/0.74 (class_OrderedGroup_Opordered__ab__group__add @ t_b) @ true) = (
% 0.20/0.74 true))),
% 0.20/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl12])).
% 0.20/0.74 thf(zip_derived_cl1, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.74 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.74 thf(zip_derived_cl46, plain,
% 0.20/0.74 (((true) = (class_OrderedGroup_Opordered__ab__group__add @ t_b))),
% 0.20/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 0.20/0.74 thf(zip_derived_cl1, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.74 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.74 thf(zip_derived_cl52, plain,
% 0.20/0.74 (((c_lessequals @ (c_plus @ c_0 @ (v_g @ v_x) @ t_b) @ (v_k @ v_x) @ t_b)
% 0.20/0.74 = (true))),
% 0.20/0.74 inference('demod', [status(thm)],
% 0.20/0.74 [zip_derived_cl22, zip_derived_cl46, zip_derived_cl1])).
% 0.20/0.74 thf(zip_derived_cl13, plain,
% 0.20/0.74 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 0.20/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.20/0.74 thf(clsrel_Ring__and__Field_Oordered__idom_23, axiom,
% 0.20/0.74 (( ifeq @
% 0.20/0.74 ( class_Ring__and__Field_Oordered__idom @ T ) @ true @
% 0.20/0.74 ( class_OrderedGroup_Ocomm__monoid__add @ T ) @ true ) =
% 0.20/0.74 ( true ))).
% 0.20/0.74 thf(zip_derived_cl10, plain,
% 0.20/0.74 (![X0 : $i]:
% 0.20/0.74 ((ifeq @ (class_Ring__and__Field_Oordered__idom @ X0) @ true @
% 0.20/0.74 (class_OrderedGroup_Ocomm__monoid__add @ X0) @ true) = (true))),
% 0.20/0.74 inference('cnf', [status(esa)],
% 0.20/0.74 [clsrel_Ring__and__Field_Oordered__idom_23])).
% 0.20/0.74 thf(zip_derived_cl14, plain,
% 0.20/0.74 (((ifeq @ true @ true @ (class_OrderedGroup_Ocomm__monoid__add @ t_b) @
% 0.20/0.74 true) = (true))),
% 0.20/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 0.20/0.74 thf(zip_derived_cl1, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.74 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.74 thf(zip_derived_cl15, plain,
% 0.20/0.74 (((true) = (class_OrderedGroup_Ocomm__monoid__add @ t_b))),
% 0.20/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.20/0.74 thf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0, axiom,
% 0.20/0.74 (( ifeq2 @
% 0.20/0.74 ( class_OrderedGroup_Ocomm__monoid__add @ T_a ) @ true @
% 0.20/0.74 ( c_plus @ c_0 @ V_y @ T_a ) @ V_y ) =
% 0.20/0.74 ( V_y ))).
% 0.20/0.74 thf(zip_derived_cl2, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i]:
% 0.20/0.74 ((ifeq2 @ (class_OrderedGroup_Ocomm__monoid__add @ X1) @ true @
% 0.20/0.74 (c_plus @ c_0 @ X0 @ X1) @ X0) = (X0))),
% 0.20/0.74 inference('cnf', [status(esa)],
% 0.20/0.74 [cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0])).
% 0.20/0.74 thf(zip_derived_cl18, plain,
% 0.20/0.74 (![X0 : $i]:
% 0.20/0.74 ((ifeq2 @ true @ true @ (c_plus @ c_0 @ X0 @ t_b) @ X0) = (X0))),
% 0.20/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 0.20/0.74 thf(ifeq_axiom, axiom, (( ifeq2 @ A @ A @ B @ C ) = ( B ))).
% 0.20/0.74 thf(zip_derived_cl0, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.74 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.20/0.74 thf(zip_derived_cl41, plain,
% 0.20/0.74 (![X0 : $i]: ((X0) = (c_plus @ c_0 @ X0 @ t_b))),
% 0.20/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 0.20/0.74 thf(zip_derived_cl64, plain,
% 0.20/0.74 (((c_lessequals @ (v_g @ v_x) @ (v_k @ v_x) @ t_b) = (true))),
% 0.20/0.74 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl41])).
% 0.20/0.74 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 0.20/0.74 (( ifeq @
% 0.20/0.74 ( class_Orderings_Oorder @ T_a ) @ true @
% 0.20/0.74 ( ifeq @
% 0.20/0.74 ( c_lessequals @ V_x @ V_y @ T_a ) @ true @
% 0.20/0.74 ( ifeq @
% 0.20/0.74 ( c_lessequals @ V_y @ V_z @ T_a ) @ true @
% 0.20/0.74 ( c_lessequals @ V_x @ V_z @ T_a ) @ true ) @
% 0.20/0.74 true ) @
% 0.20/0.74 true ) =
% 0.20/0.74 ( true ))).
% 0.20/0.74 thf(zip_derived_cl5, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.74 ((ifeq @ (class_Orderings_Oorder @ X0) @ true @
% 0.20/0.74 (ifeq @ (c_lessequals @ X1 @ X2 @ X0) @ true @
% 0.20/0.74 (ifeq @ (c_lessequals @ X2 @ X3 @ X0) @ true @
% 0.20/0.74 (c_lessequals @ X1 @ X3 @ X0) @ true) @
% 0.20/0.74 true) @
% 0.20/0.74 true) = (true))),
% 0.20/0.74 inference('cnf', [status(esa)],
% 0.20/0.74 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 0.20/0.74 thf(zip_derived_cl71, plain,
% 0.20/0.74 (![X0 : $i]:
% 0.20/0.74 ((ifeq @ (class_Orderings_Oorder @ t_b) @ true @
% 0.20/0.74 (ifeq @ true @ true @
% 0.20/0.74 (ifeq @ (c_lessequals @ (v_k @ v_x) @ X0 @ t_b) @ true @
% 0.20/0.74 (c_lessequals @ (v_g @ v_x) @ X0 @ t_b) @ true) @
% 0.20/0.74 true) @
% 0.20/0.74 true) = (true))),
% 0.20/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl5])).
% 0.20/0.74 thf(zip_derived_cl13, plain,
% 0.20/0.75 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 0.20/0.75 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.20/0.75 thf(clsrel_Ring__and__Field_Oordered__idom_33, axiom,
% 0.20/0.75 (( ifeq @
% 0.20/0.75 ( class_Ring__and__Field_Oordered__idom @ T ) @ true @
% 0.20/0.75 ( class_Orderings_Olinorder @ T ) @ true ) =
% 0.20/0.75 ( true ))).
% 0.20/0.75 thf(zip_derived_cl11, plain,
% 0.20/0.75 (![X0 : $i]:
% 0.20/0.75 ((ifeq @ (class_Ring__and__Field_Oordered__idom @ X0) @ true @
% 0.20/0.75 (class_Orderings_Olinorder @ X0) @ true) = (true))),
% 0.20/0.75 inference('cnf', [status(esa)],
% 0.20/0.75 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 0.20/0.75 thf(zip_derived_cl16, plain,
% 0.20/0.75 (((ifeq @ true @ true @ (class_Orderings_Olinorder @ t_b) @ true)
% 0.20/0.75 = (true))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl11])).
% 0.20/0.75 thf(zip_derived_cl1, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.75 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.75 thf(zip_derived_cl23, plain, (((true) = (class_Orderings_Olinorder @ t_b))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.20/0.75 thf(clsrel_Orderings_Olinorder_4, axiom,
% 0.20/0.75 (( ifeq @
% 0.20/0.75 ( class_Orderings_Olinorder @ T ) @ true @
% 0.20/0.75 ( class_Orderings_Oorder @ T ) @ true ) =
% 0.20/0.75 ( true ))).
% 0.20/0.75 thf(zip_derived_cl9, plain,
% 0.20/0.75 (![X0 : $i]:
% 0.20/0.75 ((ifeq @ (class_Orderings_Olinorder @ X0) @ true @
% 0.20/0.75 (class_Orderings_Oorder @ X0) @ true) = (true))),
% 0.20/0.75 inference('cnf', [status(esa)], [clsrel_Orderings_Olinorder_4])).
% 0.20/0.75 thf(zip_derived_cl25, plain,
% 0.20/0.75 (((ifeq @ true @ true @ (class_Orderings_Oorder @ t_b) @ true) = (true))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl9])).
% 0.20/0.75 thf(zip_derived_cl1, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.75 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.75 thf(zip_derived_cl40, plain, (((true) = (class_Orderings_Oorder @ t_b))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 0.20/0.75 thf(zip_derived_cl1, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.75 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.75 thf(zip_derived_cl1, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.75 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.75 thf(zip_derived_cl74, plain,
% 0.20/0.75 (![X0 : $i]:
% 0.20/0.75 ((ifeq @ (c_lessequals @ (v_k @ v_x) @ X0 @ t_b) @ true @
% 0.20/0.75 (c_lessequals @ (v_g @ v_x) @ X0 @ t_b) @ true) = (true))),
% 0.20/0.75 inference('demod', [status(thm)],
% 0.20/0.75 [zip_derived_cl71, zip_derived_cl40, zip_derived_cl1,
% 0.20/0.75 zip_derived_cl1])).
% 0.20/0.75 thf(zip_derived_cl80, plain,
% 0.20/0.75 (((ifeq @ true @ true @
% 0.20/0.75 (c_lessequals @ (v_g @ v_x) @ (v_f @ v_x) @ t_b) @ true) = (true))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl74])).
% 0.20/0.75 thf(zip_derived_cl1, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.75 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.75 thf(zip_derived_cl82, plain,
% 0.20/0.75 (((true) = (c_lessequals @ (v_g @ v_x) @ (v_f @ v_x) @ t_b))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl1])).
% 0.20/0.75 thf(zip_derived_cl41, plain,
% 0.20/0.75 (![X0 : $i]: ((X0) = (c_plus @ c_0 @ X0 @ t_b))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 0.20/0.75 thf(cls_OrderedGroup_Ocompare__rls__9_1, axiom,
% 0.20/0.75 (( ifeq @
% 0.20/0.75 ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @
% 0.20/0.75 ( ifeq @
% 0.20/0.75 ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true @
% 0.20/0.75 ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true ) @
% 0.20/0.75 true ) =
% 0.20/0.75 ( true ))).
% 0.20/0.75 thf(zip_derived_cl4, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.75 ((ifeq @ (class_OrderedGroup_Opordered__ab__group__add @ X0) @ true @
% 0.20/0.75 (ifeq @ (c_lessequals @ (c_plus @ X1 @ X2 @ X0) @ X3 @ X0) @ true @
% 0.20/0.75 (c_lessequals @ X1 @ (c_minus @ X3 @ X2 @ X0) @ X0) @ true) @
% 0.20/0.75 true) = (true))),
% 0.20/0.75 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__9_1])).
% 0.20/0.75 thf(zip_derived_cl66, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i]:
% 0.20/0.75 ((ifeq @ (class_OrderedGroup_Opordered__ab__group__add @ t_b) @
% 0.20/0.75 true @
% 0.20/0.75 (ifeq @ (c_lessequals @ X0 @ X1 @ t_b) @ true @
% 0.20/0.75 (c_lessequals @ c_0 @ (c_minus @ X1 @ X0 @ t_b) @ t_b) @ true) @
% 0.20/0.75 true) = (true))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl4])).
% 0.20/0.75 thf(zip_derived_cl46, plain,
% 0.20/0.75 (((true) = (class_OrderedGroup_Opordered__ab__group__add @ t_b))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 0.20/0.75 thf(zip_derived_cl1, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.75 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.75 thf(zip_derived_cl69, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i]:
% 0.20/0.75 ((ifeq @ (c_lessequals @ X0 @ X1 @ t_b) @ true @
% 0.20/0.75 (c_lessequals @ c_0 @ (c_minus @ X1 @ X0 @ t_b) @ t_b) @ true)
% 0.20/0.75 = (true))),
% 0.20/0.75 inference('demod', [status(thm)],
% 0.20/0.75 [zip_derived_cl66, zip_derived_cl46, zip_derived_cl1])).
% 0.20/0.75 thf(zip_derived_cl130, plain,
% 0.20/0.75 (((ifeq @ true @ true @
% 0.20/0.75 (c_lessequals @ c_0 @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @
% 0.20/0.75 t_b) @
% 0.20/0.75 true) = (true))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl69])).
% 0.20/0.75 thf(zip_derived_cl1, plain,
% 0.20/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.20/0.75 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.20/0.75 thf(zip_derived_cl205, plain,
% 0.20/0.75 (((true)
% 0.20/0.75 = (c_lessequals @ c_0 @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @
% 0.20/0.75 t_b))),
% 0.20/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl1])).
% 0.20/0.75 thf(cls_conjecture_3, conjecture,
% 0.20/0.75 (( c_lessequals @
% 0.20/0.75 c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) =
% 0.20/0.75 ( true ))).
% 0.20/0.75 thf(zf_stmt_3, negated_conjecture,
% 0.20/0.75 (( c_lessequals @
% 0.20/0.75 c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) !=
% 0.20/0.75 ( true )),
% 0.20/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.20/0.75 thf(zip_derived_cl8, plain,
% 0.20/0.75 (((c_lessequals @ c_0 @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)
% 0.20/0.75 != (true))),
% 0.20/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.20/0.75 thf(zip_derived_cl206, plain, ($false),
% 0.20/0.75 inference('simplify_reflect-', [status(thm)],
% 0.20/0.75 [zip_derived_cl205, zip_derived_cl8])).
% 0.20/0.75
% 0.20/0.75 % SZS output end Refutation
% 0.20/0.75
% 0.20/0.75
% 0.20/0.75 % Terminating...
% 1.37/0.84 % Runner terminated.
% 1.37/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------