TSTP Solution File: ANA034-10 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA034-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oySksGubU2 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 : Wed Aug 30 17:26:03 EDT 2023
% Result : Unsatisfiable 1.28s 0.93s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ANA034-10 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oySksGubU2 true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 18:42:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.93 % Solved by fo/fo5.sh.
% 1.28/0.93 % done 100 iterations in 0.120s
% 1.28/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/0.93 % SZS output start Refutation
% 1.28/0.93 thf(v_x_type, type, v_x: $i).
% 1.28/0.93 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $i).
% 1.28/0.93 thf(v_a_type, type, v_a: $i > $i).
% 1.28/0.93 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $i).
% 1.28/0.93 thf(v_f_type, type, v_f: $i > $i).
% 1.28/0.93 thf(v_b_type, type, v_b: $i > $i).
% 1.28/0.93 thf(true_type, type, true: $i).
% 1.28/0.93 thf(class_Ring__and__Field_Opordered__cancel__semiring_type, type, class_Ring__and__Field_Opordered__cancel__semiring:
% 1.28/0.93 $i > $i).
% 1.28/0.93 thf(v_ca_type, type, v_ca: $i).
% 1.28/0.93 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 1.28/0.93 $i > $i).
% 1.28/0.93 thf(c_0_type, type, c_0: $i).
% 1.28/0.93 thf(c_less_type, type, c_less: $i > $i > $i > $i).
% 1.28/0.93 thf(t_b_type, type, t_b: $i).
% 1.28/0.93 thf(ifeq2_type, type, ifeq2: $i > $i > $i > $i > $i).
% 1.28/0.93 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 1.28/0.93 $i > $i).
% 1.28/0.93 thf(class_Ring__and__Field_Opordered__semiring_type, type, class_Ring__and__Field_Opordered__semiring:
% 1.28/0.93 $i > $i).
% 1.28/0.93 thf(v_g_type, type, v_g: $i > $i).
% 1.28/0.93 thf(v_c_type, type, v_c: $i).
% 1.28/0.93 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 1.28/0.93 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 1.28/0.93 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 1.28/0.93 thf(cls_conjecture_2, conjecture,
% 1.28/0.93 (( c_lessequals @
% 1.28/0.93 ( c_HOL_Oabs @ ( v_a @ v_x ) @ t_b ) @
% 1.28/0.93 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @ t_b ) !=
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zf_stmt_0, negated_conjecture,
% 1.28/0.93 (( c_lessequals @
% 1.28/0.93 ( c_HOL_Oabs @ ( v_a @ v_x ) @ t_b ) @
% 1.28/0.93 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @ t_b ) =
% 1.28/0.93 ( true )),
% 1.28/0.93 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 1.28/0.93 thf(zip_derived_cl8, plain,
% 1.28/0.93 (((c_lessequals @ (c_HOL_Oabs @ (v_a @ v_x) @ t_b) @
% 1.28/0.93 (c_times @ v_c @ (c_HOL_Oabs @ (v_f @ v_x) @ t_b) @ t_b) @ t_b)
% 1.28/0.93 = (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/0.93 thf(cls_conjecture_3, conjecture,
% 1.28/0.93 (( c_lessequals @
% 1.28/0.93 ( c_HOL_Oabs @ ( v_b @ v_x ) @ t_b ) @
% 1.28/0.93 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ) !=
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zf_stmt_1, negated_conjecture,
% 1.28/0.93 (( c_lessequals @
% 1.28/0.93 ( c_HOL_Oabs @ ( v_b @ v_x ) @ t_b ) @
% 1.28/0.93 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ) =
% 1.28/0.93 ( true )),
% 1.28/0.93 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 1.28/0.93 thf(zip_derived_cl9, plain,
% 1.28/0.93 (((c_lessequals @ (c_HOL_Oabs @ (v_b @ v_x) @ t_b) @
% 1.28/0.93 (c_times @ v_ca @ (c_HOL_Oabs @ (v_g @ v_x) @ t_b) @ t_b) @ t_b)
% 1.28/0.93 = (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.28/0.93 thf(cls_Ring__and__Field_Omult__mono_0, axiom,
% 1.28/0.93 (( ifeq @
% 1.28/0.93 ( c_lessequals @ c_0 @ V_b @ T_a ) @ true @
% 1.28/0.93 ( ifeq @
% 1.28/0.93 ( c_lessequals @ c_0 @ V_c @ T_a ) @ true @
% 1.28/0.93 ( ifeq @
% 1.28/0.93 ( c_lessequals @ V_a @ V_b @ T_a ) @ true @
% 1.28/0.93 ( ifeq @
% 1.28/0.93 ( c_lessequals @ V_c @ V_d @ T_a ) @ true @
% 1.28/0.93 ( ifeq @
% 1.28/0.93 ( class_Ring__and__Field_Opordered__semiring @ T_a ) @ true @
% 1.28/0.93 ( c_lessequals @
% 1.28/0.93 ( c_times @ V_a @ V_c @ T_a ) @
% 1.28/0.93 ( c_times @ V_b @ V_d @ T_a ) @ T_a ) @
% 1.28/0.93 true ) @
% 1.28/0.93 true ) @
% 1.28/0.93 true ) @
% 1.28/0.93 true ) @
% 1.28/0.93 true ) =
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zip_derived_cl3, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.28/0.93 ((ifeq @ (c_lessequals @ c_0 @ X0 @ X1) @ true @
% 1.28/0.93 (ifeq @ (c_lessequals @ c_0 @ X2 @ X1) @ true @
% 1.28/0.93 (ifeq @ (c_lessequals @ X3 @ X0 @ X1) @ true @
% 1.28/0.93 (ifeq @ (c_lessequals @ X2 @ X4 @ X1) @ true @
% 1.28/0.93 (ifeq @ (class_Ring__and__Field_Opordered__semiring @ X1) @
% 1.28/0.93 true @
% 1.28/0.93 (c_lessequals @ (c_times @ X3 @ X2 @ X1) @
% 1.28/0.93 (c_times @ X0 @ X4 @ X1) @ X1) @
% 1.28/0.93 true) @
% 1.28/0.93 true) @
% 1.28/0.93 true) @
% 1.28/0.93 true) @
% 1.28/0.93 true) = (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [cls_Ring__and__Field_Omult__mono_0])).
% 1.28/0.93 thf(zip_derived_cl45, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i]:
% 1.28/0.93 ((ifeq @ (c_lessequals @ c_0 @ X0 @ t_b) @ true @
% 1.28/0.93 (ifeq @
% 1.28/0.93 (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_b @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 true @
% 1.28/0.93 (ifeq @ (c_lessequals @ X1 @ X0 @ t_b) @ true @
% 1.28/0.93 (ifeq @ true @ true @
% 1.28/0.93 (ifeq @ (class_Ring__and__Field_Opordered__semiring @ t_b) @
% 1.28/0.93 true @
% 1.28/0.93 (c_lessequals @
% 1.28/0.93 (c_times @ X1 @ (c_HOL_Oabs @ (v_b @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 (c_times @ X0 @
% 1.28/0.93 (c_times @ v_ca @ (c_HOL_Oabs @ (v_g @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 t_b) @
% 1.28/0.93 t_b) @
% 1.28/0.93 true) @
% 1.28/0.93 true) @
% 1.28/0.93 true) @
% 1.28/0.93 true) @
% 1.28/0.93 true) = (true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 1.28/0.93 thf(tfree_tcs, conjecture,
% 1.28/0.93 (( class_Ring__and__Field_Oordered__idom @ t_b ) != ( true ))).
% 1.28/0.93 thf(zf_stmt_2, negated_conjecture,
% 1.28/0.93 (( class_Ring__and__Field_Oordered__idom @ t_b ) = ( true )),
% 1.28/0.93 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 1.28/0.93 thf(zip_derived_cl12, plain,
% 1.28/0.93 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.28/0.93 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 1.28/0.93 (( ifeq @
% 1.28/0.93 ( class_Ring__and__Field_Oordered__idom @ T ) @ true @
% 1.28/0.93 ( class_OrderedGroup_Olordered__ab__group__abs @ T ) @ true ) =
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zip_derived_cl16, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((ifeq @ (class_Ring__and__Field_Oordered__idom @ X0) @ true @
% 1.28/0.93 (class_OrderedGroup_Olordered__ab__group__abs @ X0) @ true) = (
% 1.28/0.93 true))),
% 1.28/0.93 inference('cnf', [status(esa)],
% 1.28/0.93 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 1.28/0.93 thf(zip_derived_cl28, plain,
% 1.28/0.93 (((ifeq @ true @ true @
% 1.28/0.93 (class_OrderedGroup_Olordered__ab__group__abs @ t_b) @ true) = (
% 1.28/0.93 true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl16])).
% 1.28/0.93 thf(ifeq_axiom_001, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl29, plain,
% 1.28/0.93 (((true) = (class_OrderedGroup_Olordered__ab__group__abs @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 1.28/0.93 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 1.28/0.93 (( ifeq @
% 1.28/0.93 ( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) @ true @
% 1.28/0.93 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ) @ true ) =
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zip_derived_cl6, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i]:
% 1.28/0.93 ((ifeq @ (class_OrderedGroup_Olordered__ab__group__abs @ X0) @ true @
% 1.28/0.93 (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0) @ true) = (
% 1.28/0.93 true))),
% 1.28/0.93 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 1.28/0.93 thf(zip_derived_cl38, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((ifeq @ true @ true @
% 1.28/0.93 (c_lessequals @ c_0 @ (c_HOL_Oabs @ X0 @ t_b) @ t_b) @ true)
% 1.28/0.93 = (true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl6])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl39, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((true) = (c_lessequals @ c_0 @ (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 1.28/0.93 thf(zip_derived_cl12, plain,
% 1.28/0.93 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.28/0.93 thf(clsrel_Ring__and__Field_Oordered__idom_42, axiom,
% 1.28/0.93 (( ifeq @
% 1.28/0.93 ( class_Ring__and__Field_Oordered__idom @ T ) @ true @
% 1.28/0.93 ( class_Ring__and__Field_Opordered__semiring @ T ) @ true ) =
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zip_derived_cl15, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((ifeq @ (class_Ring__and__Field_Oordered__idom @ X0) @ true @
% 1.28/0.93 (class_Ring__and__Field_Opordered__semiring @ X0) @ true) = (
% 1.28/0.93 true))),
% 1.28/0.93 inference('cnf', [status(esa)],
% 1.28/0.93 [clsrel_Ring__and__Field_Oordered__idom_42])).
% 1.28/0.93 thf(zip_derived_cl18, plain,
% 1.28/0.93 (((ifeq @ true @ true @
% 1.28/0.93 (class_Ring__and__Field_Opordered__semiring @ t_b) @ true) = (
% 1.28/0.93 true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl15])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl19, plain,
% 1.28/0.93 (((true) = (class_Ring__and__Field_Opordered__semiring @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl54, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i]:
% 1.28/0.93 ((ifeq @ (c_lessequals @ c_0 @ X0 @ t_b) @ true @
% 1.28/0.93 (ifeq @ (c_lessequals @ X1 @ X0 @ t_b) @ true @
% 1.28/0.93 (c_lessequals @
% 1.28/0.93 (c_times @ X1 @ (c_HOL_Oabs @ (v_b @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 (c_times @ X0 @
% 1.28/0.93 (c_times @ v_ca @ (c_HOL_Oabs @ (v_g @ v_x) @ t_b) @ t_b) @ t_b) @
% 1.28/0.93 t_b) @
% 1.28/0.93 true) @
% 1.28/0.93 true) = (true))),
% 1.28/0.93 inference('demod', [status(thm)],
% 1.28/0.93 [zip_derived_cl45, zip_derived_cl39, zip_derived_cl19,
% 1.28/0.93 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 1.28/0.93 thf(zip_derived_cl669, plain,
% 1.28/0.93 (((ifeq @
% 1.28/0.93 (c_lessequals @ c_0 @
% 1.28/0.93 (c_times @ v_c @ (c_HOL_Oabs @ (v_f @ v_x) @ t_b) @ t_b) @ t_b) @
% 1.28/0.93 true @
% 1.28/0.93 (ifeq @ true @ true @
% 1.28/0.93 (c_lessequals @
% 1.28/0.93 (c_times @ (c_HOL_Oabs @ (v_a @ v_x) @ t_b) @
% 1.28/0.93 (c_HOL_Oabs @ (v_b @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 (c_times @
% 1.28/0.93 (c_times @ v_c @ (c_HOL_Oabs @ (v_f @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 (c_times @ v_ca @ (c_HOL_Oabs @ (v_g @ v_x) @ t_b) @ t_b) @ t_b) @
% 1.28/0.93 t_b) @
% 1.28/0.93 true) @
% 1.28/0.93 true) = (true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl54])).
% 1.28/0.93 thf(zip_derived_cl39, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((true) = (c_lessequals @ c_0 @ (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 1.28/0.93 thf(cls_conjecture_0, conjecture, (( c_less @ c_0 @ v_c @ t_b ) != ( true ))).
% 1.28/0.93 thf(zf_stmt_3, negated_conjecture, (( c_less @ c_0 @ v_c @ t_b ) = ( true )),
% 1.28/0.93 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 1.28/0.93 thf(zip_derived_cl7, plain, (((c_less @ c_0 @ v_c @ t_b) = (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.28/0.93 thf(cls_Orderings_Oorder__less__imp__le_0, axiom,
% 1.28/0.93 (( ifeq @
% 1.28/0.93 ( c_less @ V_x @ V_y @ T_a ) @ true @
% 1.28/0.93 ( ifeq @
% 1.28/0.93 ( class_Orderings_Oorder @ T_a ) @ true @
% 1.28/0.93 ( c_lessequals @ V_x @ V_y @ T_a ) @ true ) @
% 1.28/0.93 true ) =
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zip_derived_cl5, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.93 ((ifeq @ (c_less @ X0 @ X1 @ X2) @ true @
% 1.28/0.93 (ifeq @ (class_Orderings_Oorder @ X2) @ true @
% 1.28/0.93 (c_lessequals @ X0 @ X1 @ X2) @ true) @
% 1.28/0.93 true) = (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 1.28/0.93 thf(zip_derived_cl65, plain,
% 1.28/0.93 (((ifeq @ true @ true @
% 1.28/0.93 (ifeq @ (class_Orderings_Oorder @ t_b) @ true @
% 1.28/0.93 (c_lessequals @ c_0 @ v_c @ t_b) @ true) @
% 1.28/0.93 true) = (true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 1.28/0.93 thf(zip_derived_cl29, plain,
% 1.28/0.93 (((true) = (class_OrderedGroup_Olordered__ab__group__abs @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 1.28/0.93 thf(clsrel_OrderedGroup_Olordered__ab__group__abs_17, axiom,
% 1.28/0.93 (( ifeq @
% 1.28/0.93 ( class_OrderedGroup_Olordered__ab__group__abs @ T ) @ true @
% 1.28/0.93 ( class_Orderings_Oorder @ T ) @ true ) =
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zip_derived_cl13, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((ifeq @ (class_OrderedGroup_Olordered__ab__group__abs @ X0) @ true @
% 1.28/0.93 (class_Orderings_Oorder @ X0) @ true) = (true))),
% 1.28/0.93 inference('cnf', [status(esa)],
% 1.28/0.93 [clsrel_OrderedGroup_Olordered__ab__group__abs_17])).
% 1.28/0.93 thf(zip_derived_cl33, plain,
% 1.28/0.93 (((ifeq @ true @ true @ (class_Orderings_Oorder @ t_b) @ true) = (true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl13])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl34, plain, (((true) = (class_Orderings_Oorder @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl70, plain, (((c_lessequals @ c_0 @ v_c @ t_b) = (true))),
% 1.28/0.93 inference('demod', [status(thm)],
% 1.28/0.93 [zip_derived_cl65, zip_derived_cl34, zip_derived_cl1,
% 1.28/0.93 zip_derived_cl1])).
% 1.28/0.93 thf(cls_Ring__and__Field_Omult__nonneg__nonneg_0, axiom,
% 1.28/0.93 (( ifeq @
% 1.28/0.93 ( class_Ring__and__Field_Opordered__cancel__semiring @ T_a ) @ true @
% 1.28/0.93 ( ifeq @
% 1.28/0.93 ( c_lessequals @ c_0 @ V_a @ T_a ) @ true @
% 1.28/0.93 ( ifeq @
% 1.28/0.93 ( c_lessequals @ c_0 @ V_b @ T_a ) @ true @
% 1.28/0.93 ( c_lessequals @ c_0 @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ) @ true ) @
% 1.28/0.93 true ) @
% 1.28/0.93 true ) =
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zip_derived_cl4, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.93 ((ifeq @ (class_Ring__and__Field_Opordered__cancel__semiring @ X0) @
% 1.28/0.93 true @
% 1.28/0.93 (ifeq @ (c_lessequals @ c_0 @ X1 @ X0) @ true @
% 1.28/0.93 (ifeq @ (c_lessequals @ c_0 @ X2 @ X0) @ true @
% 1.28/0.93 (c_lessequals @ c_0 @ (c_times @ X1 @ X2 @ X0) @ X0) @ true) @
% 1.28/0.93 true) @
% 1.28/0.93 true) = (true))),
% 1.28/0.93 inference('cnf', [status(esa)],
% 1.28/0.93 [cls_Ring__and__Field_Omult__nonneg__nonneg_0])).
% 1.28/0.93 thf(zip_derived_cl147, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((ifeq @ (class_Ring__and__Field_Opordered__cancel__semiring @ t_b) @
% 1.28/0.93 true @
% 1.28/0.93 (ifeq @ true @ true @
% 1.28/0.93 (ifeq @ (c_lessequals @ c_0 @ X0 @ t_b) @ true @
% 1.28/0.93 (c_lessequals @ c_0 @ (c_times @ v_c @ X0 @ t_b) @ t_b) @ true) @
% 1.28/0.93 true) @
% 1.28/0.93 true) = (true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl4])).
% 1.28/0.93 thf(zip_derived_cl12, plain,
% 1.28/0.93 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.28/0.93 thf(clsrel_Ring__and__Field_Oordered__idom_40, axiom,
% 1.28/0.93 (( ifeq @
% 1.28/0.93 ( class_Ring__and__Field_Oordered__idom @ T ) @ true @
% 1.28/0.93 ( class_Ring__and__Field_Opordered__cancel__semiring @ T ) @ true ) =
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zip_derived_cl14, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((ifeq @ (class_Ring__and__Field_Oordered__idom @ X0) @ true @
% 1.28/0.93 (class_Ring__and__Field_Opordered__cancel__semiring @ X0) @ true)
% 1.28/0.93 = (true))),
% 1.28/0.93 inference('cnf', [status(esa)],
% 1.28/0.93 [clsrel_Ring__and__Field_Oordered__idom_40])).
% 1.28/0.93 thf(zip_derived_cl17, plain,
% 1.28/0.93 (((ifeq @ true @ true @
% 1.28/0.93 (class_Ring__and__Field_Opordered__cancel__semiring @ t_b) @ true)
% 1.28/0.93 = (true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl14])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl20, plain,
% 1.28/0.93 (((true) = (class_Ring__and__Field_Opordered__cancel__semiring @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl154, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((ifeq @ (c_lessequals @ c_0 @ X0 @ t_b) @ true @
% 1.28/0.93 (c_lessequals @ c_0 @ (c_times @ v_c @ X0 @ t_b) @ t_b) @ true)
% 1.28/0.93 = (true))),
% 1.28/0.93 inference('demod', [status(thm)],
% 1.28/0.93 [zip_derived_cl147, zip_derived_cl20, zip_derived_cl1,
% 1.28/0.93 zip_derived_cl1])).
% 1.28/0.93 thf(zip_derived_cl239, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((ifeq @ true @ true @
% 1.28/0.93 (c_lessequals @ c_0 @
% 1.28/0.93 (c_times @ v_c @ (c_HOL_Oabs @ X0 @ t_b) @ t_b) @ t_b) @
% 1.28/0.93 true) = (true))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl154])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl340, plain,
% 1.28/0.93 (![X0 : $i]:
% 1.28/0.93 ((true)
% 1.28/0.93 = (c_lessequals @ c_0 @
% 1.28/0.93 (c_times @ v_c @ (c_HOL_Oabs @ X0 @ t_b) @ t_b) @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl1])).
% 1.28/0.93 thf(zip_derived_cl12, plain,
% 1.28/0.93 (((class_Ring__and__Field_Oordered__idom @ t_b) = (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.28/0.93 thf(cls_Ring__and__Field_Oabs__mult_0, axiom,
% 1.28/0.93 (( ifeq2 @
% 1.28/0.93 ( class_Ring__and__Field_Oordered__idom @ T_a ) @ true @
% 1.28/0.93 ( c_times @
% 1.28/0.93 ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) @
% 1.28/0.93 ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ) ) =
% 1.28/0.93 ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ))).
% 1.28/0.93 thf(zip_derived_cl2, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.93 ((ifeq2 @ (class_Ring__and__Field_Oordered__idom @ X2) @ true @
% 1.28/0.93 (c_times @ (c_HOL_Oabs @ X0 @ X2) @ (c_HOL_Oabs @ X1 @ X2) @ X2) @
% 1.28/0.93 (c_HOL_Oabs @ (c_times @ X0 @ X1 @ X2) @ X2))
% 1.28/0.93 = (c_HOL_Oabs @ (c_times @ X0 @ X1 @ X2) @ X2))),
% 1.28/0.93 inference('cnf', [status(esa)], [cls_Ring__and__Field_Oabs__mult_0])).
% 1.28/0.93 thf(zip_derived_cl24, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i]:
% 1.28/0.93 ((ifeq2 @ true @ true @
% 1.28/0.93 (c_times @ (c_HOL_Oabs @ X1 @ t_b) @ (c_HOL_Oabs @ X0 @ t_b) @ t_b) @
% 1.28/0.93 (c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b))
% 1.28/0.93 = (c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl2])).
% 1.28/0.93 thf(ifeq_axiom, axiom, (( ifeq2 @ A @ A @ B @ C ) = ( B ))).
% 1.28/0.93 thf(zip_derived_cl0, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.28/0.93 thf(zip_derived_cl94, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i]:
% 1.28/0.93 ((c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 1.28/0.93 = (c_times @ (c_HOL_Oabs @ X1 @ t_b) @ (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 1.28/0.93 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 1.28/0.93 thf(cls_conjecture_4, conjecture,
% 1.28/0.93 (( c_times @
% 1.28/0.93 ( c_times @ v_c @ v_ca @ t_b ) @
% 1.28/0.93 ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 1.28/0.93 t_b ) !=
% 1.28/0.93 ( c_times @
% 1.28/0.93 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @
% 1.28/0.93 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ))).
% 1.28/0.93 thf(zf_stmt_4, negated_conjecture,
% 1.28/0.93 (( c_times @
% 1.28/0.93 ( c_times @ v_c @ v_ca @ t_b ) @
% 1.28/0.93 ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 1.28/0.93 t_b ) =
% 1.28/0.93 ( c_times @
% 1.28/0.93 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @
% 1.28/0.93 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b )),
% 1.28/0.93 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 1.28/0.93 thf(zip_derived_cl10, plain,
% 1.28/0.93 (((c_times @ (c_times @ v_c @ v_ca @ t_b) @
% 1.28/0.93 (c_HOL_Oabs @ (c_times @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @ t_b)
% 1.28/0.93 = (c_times @
% 1.28/0.93 (c_times @ v_c @ (c_HOL_Oabs @ (v_f @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 (c_times @ v_ca @ (c_HOL_Oabs @ (v_g @ v_x) @ t_b) @ t_b) @ t_b))),
% 1.28/0.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl1, plain,
% 1.28/0.93 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.28/0.93 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.28/0.93 thf(zip_derived_cl701, plain,
% 1.28/0.93 (((c_lessequals @
% 1.28/0.93 (c_HOL_Oabs @ (c_times @ (v_a @ v_x) @ (v_b @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 (c_times @ (c_times @ v_c @ v_ca @ t_b) @
% 1.28/0.93 (c_HOL_Oabs @ (c_times @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 t_b) @
% 1.28/0.93 t_b) = (true))),
% 1.28/0.93 inference('demod', [status(thm)],
% 1.28/0.93 [zip_derived_cl669, zip_derived_cl340, zip_derived_cl94,
% 1.28/0.93 zip_derived_cl10, zip_derived_cl1, zip_derived_cl1])).
% 1.28/0.93 thf(cls_conjecture_5, conjecture,
% 1.28/0.93 (( c_lessequals @
% 1.28/0.93 ( c_HOL_Oabs @ ( c_times @ ( v_a @ v_x ) @ ( v_b @ v_x ) @ t_b ) @ t_b ) @
% 1.28/0.93 ( c_times @
% 1.28/0.93 ( c_times @ v_c @ v_ca @ t_b ) @
% 1.28/0.93 ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 1.28/0.93 t_b ) @
% 1.28/0.93 t_b ) =
% 1.28/0.93 ( true ))).
% 1.28/0.93 thf(zf_stmt_5, negated_conjecture,
% 1.28/0.93 (( c_lessequals @
% 1.28/0.93 ( c_HOL_Oabs @ ( c_times @ ( v_a @ v_x ) @ ( v_b @ v_x ) @ t_b ) @ t_b ) @
% 1.28/0.93 ( c_times @
% 1.28/0.93 ( c_times @ v_c @ v_ca @ t_b ) @
% 1.28/0.93 ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 1.28/0.93 t_b ) @
% 1.28/0.93 t_b ) !=
% 1.28/0.93 ( true )),
% 1.28/0.93 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 1.28/0.93 thf(zip_derived_cl11, plain,
% 1.28/0.93 (((c_lessequals @
% 1.28/0.93 (c_HOL_Oabs @ (c_times @ (v_a @ v_x) @ (v_b @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 (c_times @ (c_times @ v_c @ v_ca @ t_b) @
% 1.28/0.93 (c_HOL_Oabs @ (c_times @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 1.28/0.93 t_b) @
% 1.28/0.93 t_b) != (true))),
% 1.28/0.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.28/0.93 thf(zip_derived_cl702, plain, ($false),
% 1.28/0.93 inference('simplify_reflect-', [status(thm)],
% 1.28/0.93 [zip_derived_cl701, zip_derived_cl11])).
% 1.28/0.93
% 1.28/0.93 % SZS output end Refutation
% 1.28/0.93
% 1.28/0.93
% 1.28/0.93 % Terminating...
% 1.60/0.98 % Runner terminated.
% 1.60/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------