%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA023-10 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jFT2bsfYkn true
% Computer : n007.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 04:28:52 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA023-10 : TPTP v9.2.0. Released v7.5.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jFT2bsfYkn true
% 0.13/0.35 % Computer : n007.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 : Wed Oct 1 15:22:53 EDT 2025
% 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % Solved by fo/fo3_bce.sh.
% 0.57/0.77 % BCE start: 14
% 0.57/0.77 % BCE eliminated: 0
% 0.57/0.77 % PE start: 14
% 0.57/0.77 logic: eq
% 0.57/0.77 % PE eliminated: 0
% 0.57/0.77 % done 59 iterations in 0.024s
% 0.57/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.77 % SZS output start Refutation
% 0.57/0.77 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.57/0.77 $i > $i).
% 0.57/0.77 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.57/0.77 thf(true_type, type, true: $i).
% 0.57/0.77 thf(t_b_type, type, t_b: $i).
% 0.57/0.77 thf(v_g_type, type, v_g: $i > $i).
% 0.57/0.77 thf(ifeq2_type, type, ifeq2: $i > $i > $i > $i > $i).
% 0.57/0.77 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $i).
% 0.57/0.77 thf(class_OrderedGroup_Ocomm__monoid__add_type, type, class_OrderedGroup_Ocomm__monoid__add:
% 0.57/0.77 $i > $i).
% 0.57/0.77 thf(v_x_type, type, v_x: $i).
% 0.57/0.77 thf(v_f_type, type, v_f: $i > $i).
% 0.57/0.77 thf(c_0_type, type, c_0: $i).
% 0.57/0.77 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $i).
% 0.57/0.77 thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $i).
% 0.57/0.77 thf(v_k_type, type, v_k: $i > $i).
% 0.57/0.77 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 0.57/0.77 thf(class_OrderedGroup_Opordered__ab__group__add_type, type, class_OrderedGroup_Opordered__ab__group__add:
% 0.57/0.77 $i > $i).
% 0.57/0.77 thf(c_plus_type, type, c_plus: $i > $i > $i > $i).
% 0.57/0.77 thf(cls_conjecture_1, conjecture,
% 0.57/0.77 (( c_lessequals @
% 0.57/0.77 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) !=
% 0.57/0.77 ( true ))).
% 0.57/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.77 (( c_lessequals @
% 0.57/0.77 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) =
% 0.57/0.77 ( true )),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.57/0.77 thf(zip_derived_cl6, plain,
% 0.57/0.77 (((c_lessequals @ c_0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)
% 0.57/0.77 = (true))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.77 thf(cls_OrderedGroup_Ocompare__rls__9_0, axiom,
% 0.57/0.77 (( ifeq @
% 0.57/0.77 ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @
% 0.57/0.77 ( ifeq @
% 0.57/0.77 ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true @
% 0.57/0.77 ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true ) @
% 0.57/0.77 true ) =
% 0.57/0.77 ( true ))).
% 0.57/0.77 thf(zip_derived_cl3, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.77 ((ifeq @ (class_OrderedGroup_Opordered__ab__group__add @ X0) @ true @
% 0.57/0.77 (ifeq @ (c_lessequals @ X1 @ (c_minus @ X2 @ X3 @ X0) @ X0) @
% 0.57/0.77 true @ (c_lessequals @ (c_plus @ X1 @ X3 @ X0) @ X2 @ X0) @ true) @
% 0.57/0.77 true) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__9_0])).
% 0.57/0.77 thf(zip_derived_cl53, plain,
% 0.57/0.77 (((ifeq @ (class_OrderedGroup_Opordered__ab__group__add @ t_b) @ true @
% 0.57/0.77 (ifeq @ true @ true @
% 0.57/0.77 (c_lessequals @ (c_plus @ c_0 @ (v_g @ v_x) @ t_b) @ (v_k @ v_x) @
% 0.57/0.77 t_b) @
% 0.57/0.77 true) @
% 0.57/0.77 true) = (true))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 0.57/0.77 thf(tfree_tcs, conjecture,
% 0.57/0.77 (( class_Ring__and__Field_Oordered__idom @ t_b ) != ( true ))).
% 0.57/0.77 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.77 (( class_Ring__and__Field_Oordered__idom @ t_b ) = ( true )),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.57/0.77 thf(zip_derived_cl13, plain,
% 0.57/0.77 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.77 thf(clsrel_Ring__and__Field_Oordered__idom_54, axiom,
% 0.57/0.77 (( ifeq @
% 0.57/0.77 ( class_Ring__and__Field_Oordered__idom @ T ) @ true @
% 0.57/0.77 ( class_OrderedGroup_Opordered__ab__group__add @ T ) @ true ) =
% 0.57/0.77 ( true ))).
% 0.57/0.77 thf(zip_derived_cl12, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((ifeq @ (class_Ring__and__Field_Oordered__idom @ X0) @ true @
% 0.57/0.77 (class_OrderedGroup_Opordered__ab__group__add @ X0) @ true) = (
% 0.57/0.77 true))),
% 0.57/0.77 inference('cnf', [status(esa)],
% 0.57/0.77 [clsrel_Ring__and__Field_Oordered__idom_54])).
% 0.57/0.77 thf(zip_derived_cl30, plain,
% 0.57/0.77 (((ifeq @ true @ true @
% 0.57/0.77 (class_OrderedGroup_Opordered__ab__group__add @ t_b) @ true) = (
% 0.57/0.77 true))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl12])).
% 0.57/0.77 thf(ifeq_axiom_001, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl31, plain,
% 0.57/0.77 (((true) = (class_OrderedGroup_Opordered__ab__group__add @ t_b))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 0.57/0.77 thf(zip_derived_cl13, plain,
% 0.57/0.77 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.77 thf(clsrel_Ring__and__Field_Oordered__idom_23, axiom,
% 0.57/0.77 (( ifeq @
% 0.57/0.77 ( class_Ring__and__Field_Oordered__idom @ T ) @ true @
% 0.57/0.77 ( class_OrderedGroup_Ocomm__monoid__add @ T ) @ true ) =
% 0.57/0.77 ( true ))).
% 0.57/0.77 thf(zip_derived_cl10, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((ifeq @ (class_Ring__and__Field_Oordered__idom @ X0) @ true @
% 0.57/0.77 (class_OrderedGroup_Ocomm__monoid__add @ X0) @ true) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)],
% 0.57/0.77 [clsrel_Ring__and__Field_Oordered__idom_23])).
% 0.57/0.77 thf(zip_derived_cl14, plain,
% 0.57/0.77 (((ifeq @ true @ true @ (class_OrderedGroup_Ocomm__monoid__add @ t_b) @
% 0.57/0.77 true) = (true))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl15, plain,
% 0.57/0.77 (((true) = (class_OrderedGroup_Ocomm__monoid__add @ t_b))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.57/0.77 thf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0, axiom,
% 0.57/0.77 (( ifeq2 @
% 0.57/0.77 ( class_OrderedGroup_Ocomm__monoid__add @ T_a ) @ true @
% 0.57/0.77 ( c_plus @ c_0 @ V_y @ T_a ) @ V_y ) =
% 0.57/0.77 ( V_y ))).
% 0.57/0.77 thf(zip_derived_cl2, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((ifeq2 @ (class_OrderedGroup_Ocomm__monoid__add @ X1) @ true @
% 0.57/0.77 (c_plus @ c_0 @ X0 @ X1) @ X0) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)],
% 0.57/0.77 [cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0])).
% 0.57/0.77 thf(zip_derived_cl26, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((ifeq2 @ true @ true @ (c_plus @ c_0 @ X0 @ t_b) @ X0) = (X0))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 0.57/0.77 thf(ifeq_axiom, axiom, (( ifeq2 @ A @ A @ B @ C ) = ( B ))).
% 0.57/0.77 thf(zip_derived_cl0, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.77 thf(zip_derived_cl35, plain,
% 0.57/0.77 (![X0 : $i]: ((X0) = (c_plus @ c_0 @ X0 @ t_b))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl56, plain,
% 0.57/0.77 (((c_lessequals @ (v_g @ v_x) @ (v_k @ v_x) @ t_b) = (true))),
% 0.57/0.77 inference('demod', [status(thm)],
% 0.57/0.77 [zip_derived_cl53, zip_derived_cl31, zip_derived_cl35,
% 0.57/0.77 zip_derived_cl1, zip_derived_cl1])).
% 0.57/0.77 thf(cls_conjecture_2, conjecture,
% 0.57/0.77 (( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b ) != ( true ))).
% 0.57/0.77 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.77 (( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b ) = ( true )),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.57/0.77 thf(zip_derived_cl7, plain,
% 0.57/0.77 (((c_lessequals @ (v_k @ v_x) @ (v_f @ v_x) @ t_b) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.77 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 0.57/0.77 (( ifeq @
% 0.57/0.77 ( class_Orderings_Oorder @ T_a ) @ true @
% 0.57/0.77 ( ifeq @
% 0.57/0.77 ( c_lessequals @ V_x @ V_y @ T_a ) @ true @
% 0.57/0.77 ( ifeq @
% 0.57/0.77 ( c_lessequals @ V_y @ V_z @ T_a ) @ true @
% 0.57/0.77 ( c_lessequals @ V_x @ V_z @ T_a ) @ true ) @
% 0.57/0.77 true ) @
% 0.57/0.77 true ) =
% 0.57/0.77 ( true ))).
% 0.57/0.77 thf(zip_derived_cl5, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.77 ((ifeq @ (class_Orderings_Oorder @ X0) @ true @
% 0.57/0.77 (ifeq @ (c_lessequals @ X1 @ X2 @ X0) @ true @
% 0.57/0.77 (ifeq @ (c_lessequals @ X2 @ X3 @ X0) @ true @
% 0.57/0.77 (c_lessequals @ X1 @ X3 @ X0) @ true) @
% 0.57/0.77 true) @
% 0.57/0.77 true) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)],
% 0.57/0.77 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 0.57/0.77 thf(zip_derived_cl42, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((ifeq @ (class_Orderings_Oorder @ t_b) @ true @
% 0.57/0.77 (ifeq @ (c_lessequals @ X0 @ (v_k @ v_x) @ t_b) @ true @
% 0.57/0.77 (ifeq @ true @ true @ (c_lessequals @ X0 @ (v_f @ v_x) @ t_b) @
% 0.57/0.77 true) @
% 0.57/0.77 true) @
% 0.57/0.77 true) = (true))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 0.57/0.77 thf(zip_derived_cl13, plain,
% 0.57/0.77 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.77 thf(clsrel_Ring__and__Field_Oordered__idom_33, axiom,
% 0.57/0.77 (( ifeq @
% 0.57/0.77 ( class_Ring__and__Field_Oordered__idom @ T ) @ true @
% 0.57/0.77 ( class_Orderings_Olinorder @ T ) @ true ) =
% 0.57/0.77 ( true ))).
% 0.57/0.77 thf(zip_derived_cl11, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((ifeq @ (class_Ring__and__Field_Oordered__idom @ X0) @ true @
% 0.57/0.77 (class_Orderings_Olinorder @ X0) @ true) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)],
% 0.57/0.77 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 0.57/0.77 thf(zip_derived_cl19, plain,
% 0.57/0.77 (((ifeq @ true @ true @ (class_Orderings_Olinorder @ t_b) @ true)
% 0.57/0.77 = (true))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl11])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl20, plain, (((true) = (class_Orderings_Olinorder @ t_b))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 0.57/0.77 thf(clsrel_Orderings_Olinorder_4, axiom,
% 0.57/0.77 (( ifeq @
% 0.57/0.77 ( class_Orderings_Olinorder @ T ) @ true @
% 0.57/0.77 ( class_Orderings_Oorder @ T ) @ true ) =
% 0.57/0.77 ( true ))).
% 0.57/0.77 thf(zip_derived_cl9, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((ifeq @ (class_Orderings_Olinorder @ X0) @ true @
% 0.57/0.77 (class_Orderings_Oorder @ X0) @ true) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)], [clsrel_Orderings_Olinorder_4])).
% 0.57/0.77 thf(zip_derived_cl22, plain,
% 0.57/0.77 (((ifeq @ true @ true @ (class_Orderings_Oorder @ t_b) @ true) = (true))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl9])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl25, plain, (((true) = (class_Orderings_Oorder @ t_b))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl49, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 ((ifeq @ (c_lessequals @ X0 @ (v_k @ v_x) @ t_b) @ true @
% 0.57/0.77 (c_lessequals @ X0 @ (v_f @ v_x) @ t_b) @ true) = (true))),
% 0.57/0.77 inference('demod', [status(thm)],
% 0.57/0.77 [zip_derived_cl42, zip_derived_cl25, zip_derived_cl1,
% 0.57/0.77 zip_derived_cl1])).
% 0.57/0.77 thf(zip_derived_cl64, plain,
% 0.57/0.77 (((ifeq @ true @ true @
% 0.57/0.77 (c_lessequals @ (v_g @ v_x) @ (v_f @ v_x) @ t_b) @ true) = (true))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl49])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl65, plain,
% 0.57/0.77 (((true) = (c_lessequals @ (v_g @ v_x) @ (v_f @ v_x) @ t_b))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl1])).
% 0.57/0.77 thf(zip_derived_cl35, plain,
% 0.57/0.77 (![X0 : $i]: ((X0) = (c_plus @ c_0 @ X0 @ t_b))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 0.57/0.77 thf(cls_OrderedGroup_Ocompare__rls__9_1, axiom,
% 0.57/0.77 (( ifeq @
% 0.57/0.77 ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @
% 0.57/0.77 ( ifeq @
% 0.57/0.77 ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true @
% 0.57/0.77 ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true ) @
% 0.57/0.77 true ) =
% 0.57/0.77 ( true ))).
% 0.57/0.77 thf(zip_derived_cl4, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.77 ((ifeq @ (class_OrderedGroup_Opordered__ab__group__add @ X0) @ true @
% 0.57/0.77 (ifeq @ (c_lessequals @ (c_plus @ X1 @ X2 @ X0) @ X3 @ X0) @ true @
% 0.57/0.77 (c_lessequals @ X1 @ (c_minus @ X3 @ X2 @ X0) @ X0) @ true) @
% 0.57/0.77 true) = (true))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_OrderedGroup_Ocompare__rls__9_1])).
% 0.57/0.77 thf(zip_derived_cl86, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((ifeq @ (class_OrderedGroup_Opordered__ab__group__add @ t_b) @
% 0.57/0.77 true @
% 0.57/0.77 (ifeq @ (c_lessequals @ X0 @ X1 @ t_b) @ true @
% 0.57/0.77 (c_lessequals @ c_0 @ (c_minus @ X1 @ X0 @ t_b) @ t_b) @ true) @
% 0.57/0.77 true) = (true))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl4])).
% 0.57/0.77 thf(zip_derived_cl31, plain,
% 0.57/0.77 (((true) = (class_OrderedGroup_Opordered__ab__group__add @ t_b))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl89, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((ifeq @ (c_lessequals @ X0 @ X1 @ t_b) @ true @
% 0.57/0.77 (c_lessequals @ c_0 @ (c_minus @ X1 @ X0 @ t_b) @ t_b) @ true)
% 0.57/0.77 = (true))),
% 0.57/0.77 inference('demod', [status(thm)],
% 0.57/0.77 [zip_derived_cl86, zip_derived_cl31, zip_derived_cl1])).
% 0.57/0.77 thf(zip_derived_cl141, plain,
% 0.57/0.77 (((ifeq @ true @ true @
% 0.57/0.77 (c_lessequals @ c_0 @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @
% 0.57/0.77 t_b) @
% 0.57/0.77 true) = (true))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl89])).
% 0.57/0.77 thf(zip_derived_cl1, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.77 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.77 thf(zip_derived_cl169, plain,
% 0.57/0.77 (((true)
% 0.57/0.77 = (c_lessequals @ c_0 @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @
% 0.57/0.77 t_b))),
% 0.57/0.77 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl1])).
% 0.57/0.77 thf(cls_conjecture_3, conjecture,
% 0.57/0.77 (( c_lessequals @
% 0.57/0.77 c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) =
% 0.57/0.77 ( true ))).
% 0.57/0.77 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.77 (( c_lessequals @
% 0.57/0.77 c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) !=
% 0.57/0.77 ( true )),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.57/0.77 thf(zip_derived_cl8, plain,
% 0.57/0.77 (((c_lessequals @ c_0 @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)
% 0.57/0.77 != (true))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.77 thf(zip_derived_cl170, plain, ($false),
% 0.57/0.77 inference('simplify_reflect-', [status(thm)],
% 0.57/0.77 [zip_derived_cl169, zip_derived_cl8])).
% 0.57/0.77
% 0.57/0.77 % SZS output end Refutation
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % Terminating...
% 0.59/0.86 % Runner terminated.
% 1.79/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------