%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA035-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.22rcBxiUzK true
% Computer : n010.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 04:28:54 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
% 0.11/0.12 % Problem : ANA035-2 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.22rcBxiUzK true
% 0.13/0.34 % Computer : n010.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 : Wed Oct 1 15:23:53 EDT 2025
% 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.77 % Solved by fo/fo6_bce.sh.
% 0.57/0.77 % BCE start: 6
% 0.57/0.77 % BCE eliminated: 0
% 0.57/0.77 % PE start: 6
% 0.57/0.77 logic: eq
% 0.57/0.77 % PE eliminated: 2
% 0.57/0.77 % done 8 iterations in 0.033s
% 0.57/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.77 % SZS output start Refutation
% 0.57/0.77 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.57/0.77 thf(v_ca_type, type, v_ca: $i).
% 0.57/0.77 thf(v_c_type, type, v_c: $i).
% 0.57/0.77 thf(v_x_type, type, v_x: $i).
% 0.57/0.77 thf(class_OrderedGroup_Oab__semigroup__mult_type, type, class_OrderedGroup_Oab__semigroup__mult:
% 0.57/0.77 $i > $o).
% 0.57/0.77 thf(v_g_type, type, v_g: $i > $i).
% 0.57/0.77 thf(t_b_type, type, t_b: $i).
% 0.57/0.77 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.57/0.77 $i > $o).
% 0.57/0.77 thf(v_f_type, type, v_f: $i > $i).
% 0.57/0.77 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.57/0.77 thf(cls_conjecture_4, conjecture,
% 0.57/0.77 (( c_times @
% 0.57/0.77 ( c_times @ v_c @ v_ca @ t_b ) @
% 0.57/0.77 ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 0.57/0.77 t_b ) =
% 0.57/0.77 ( c_times @
% 0.57/0.77 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @
% 0.57/0.77 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ))).
% 0.57/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.77 (( c_times @
% 0.57/0.77 ( c_times @ v_c @ v_ca @ t_b ) @
% 0.57/0.77 ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 0.57/0.77 t_b ) !=
% 0.57/0.77 ( c_times @
% 0.57/0.77 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @
% 0.57/0.77 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b )),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.57/0.77 thf(zip_derived_cl0, plain,
% 0.57/0.77 (((c_times @ (c_times @ v_c @ v_ca @ t_b) @
% 0.57/0.77 (c_HOL_Oabs @ (c_times @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @ t_b)
% 0.57/0.77 != (c_times @
% 0.57/0.77 (c_times @ v_c @ (c_HOL_Oabs @ (v_f @ v_x) @ t_b) @ t_b) @
% 0.57/0.77 (c_times @ v_ca @ (c_HOL_Oabs @ (v_g @ v_x) @ t_b) @ t_b) @ t_b))),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.77 thf(tfree_tcs, conjecture,
% 0.57/0.77 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 0.57/0.77 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.77 (class_Ring__and__Field_Oordered__idom @ t_b),
% 0.57/0.77 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.57/0.77 thf(zip_derived_cl1, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.77 thf(clsrel_Ring__and__Field_Oordered__idom_17, axiom,
% 0.57/0.77 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.57/0.77 ( class_OrderedGroup_Oab__semigroup__mult @ T ))).
% 0.57/0.77 thf(zip_derived_cl5, plain,
% 0.57/0.77 (![X0 : $i]:
% 0.57/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.57/0.77 | (class_OrderedGroup_Oab__semigroup__mult @ X0))),
% 0.57/0.77 inference('cnf', [status(esa)],
% 0.57/0.77 [clsrel_Ring__and__Field_Oordered__idom_17])).
% 0.57/0.77 thf(zip_derived_cl19, plain,
% 0.57/0.77 ( (class_OrderedGroup_Oab__semigroup__mult @ t_b)),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl1, zip_derived_cl5])).
% 0.57/0.77 thf(cls_OrderedGroup_Omult__ac__3_0, axiom,
% 0.57/0.77 (( ~( class_OrderedGroup_Oab__semigroup__mult @ T_a ) ) |
% 0.57/0.77 ( ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a ) =
% 0.57/0.77 ( c_times @ V_b @ ( c_times @ V_a @ V_c @ T_a ) @ T_a ) ))).
% 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 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 0.57/0.77 | ((c_times @ X2 @ (c_times @ X1 @ X3 @ X0) @ X0)
% 0.57/0.77 = (c_times @ X1 @ (c_times @ X2 @ X3 @ X0) @ X0)))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__3_0])).
% 0.57/0.77 thf(zip_derived_cl21, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 ((c_times @ X2 @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 0.57/0.77 = (c_times @ X1 @ (c_times @ X2 @ X0 @ t_b) @ t_b))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl19, zip_derived_cl3])).
% 0.57/0.77 thf(zip_derived_cl19, plain,
% 0.57/0.77 ( (class_OrderedGroup_Oab__semigroup__mult @ t_b)),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl1, zip_derived_cl5])).
% 0.57/0.77 thf(cls_OrderedGroup_Omult__ac__2_0, axiom,
% 0.57/0.77 (( ~( class_OrderedGroup_Oab__semigroup__mult @ T_a ) ) |
% 0.57/0.77 ( ( c_times @ V_a @ V_b @ T_a ) = ( c_times @ V_b @ V_a @ T_a ) ))).
% 0.57/0.77 thf(zip_derived_cl2, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 (~ (class_OrderedGroup_Oab__semigroup__mult @ X0)
% 0.57/0.77 | ((c_times @ X2 @ X1 @ X0) = (c_times @ X1 @ X2 @ X0)))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__2_0])).
% 0.57/0.77 thf(zip_derived_cl20, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((c_times @ X1 @ X0 @ t_b) = (c_times @ X0 @ X1 @ t_b))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl19, zip_derived_cl2])).
% 0.57/0.77 thf(zip_derived_cl21, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 ((c_times @ X2 @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 0.57/0.77 = (c_times @ X1 @ (c_times @ X2 @ X0 @ t_b) @ t_b))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl19, zip_derived_cl3])).
% 0.57/0.77 thf(zip_derived_cl1, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.57/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.77 thf(cls_Ring__and__Field_Oabs__mult_0, axiom,
% 0.57/0.77 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 0.57/0.77 ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ) =
% 0.57/0.77 ( c_times @
% 0.57/0.77 ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ))).
% 0.57/0.77 thf(zip_derived_cl4, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.57/0.77 | ((c_HOL_Oabs @ (c_times @ X1 @ X2 @ X0) @ X0)
% 0.57/0.77 = (c_times @ (c_HOL_Oabs @ X1 @ X0) @ (c_HOL_Oabs @ X2 @ X0) @ X0)))),
% 0.57/0.77 inference('cnf', [status(esa)], [cls_Ring__and__Field_Oabs__mult_0])).
% 0.57/0.77 thf(zip_derived_cl18, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 0.57/0.77 = (c_times @ (c_HOL_Oabs @ X1 @ t_b) @ (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl1, zip_derived_cl4])).
% 0.57/0.77 thf(zip_derived_cl20, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((c_times @ X1 @ X0 @ t_b) = (c_times @ X0 @ X1 @ t_b))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl19, zip_derived_cl2])).
% 0.57/0.77 thf(zip_derived_cl21, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 ((c_times @ X2 @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 0.57/0.77 = (c_times @ X1 @ (c_times @ X2 @ X0 @ t_b) @ t_b))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl19, zip_derived_cl3])).
% 0.57/0.77 thf(zip_derived_cl24, plain,
% 0.57/0.77 (((c_times @ (c_times @ v_c @ v_ca @ t_b) @
% 0.57/0.77 (c_HOL_Oabs @ (c_times @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @ t_b)
% 0.57/0.77 != (c_times @ v_c @
% 0.57/0.77 (c_times @ v_ca @
% 0.57/0.77 (c_HOL_Oabs @ (c_times @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 0.57/0.77 t_b) @
% 0.57/0.77 t_b))),
% 0.57/0.77 inference('demod', [status(thm)],
% 0.57/0.77 [zip_derived_cl0, zip_derived_cl21, zip_derived_cl20,
% 0.57/0.77 zip_derived_cl21, zip_derived_cl18, zip_derived_cl20,
% 0.57/0.77 zip_derived_cl21])).
% 0.57/0.77 thf(zip_derived_cl21, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 ((c_times @ X2 @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 0.57/0.77 = (c_times @ X1 @ (c_times @ X2 @ X0 @ t_b) @ t_b))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl19, zip_derived_cl3])).
% 0.57/0.77 thf(zip_derived_cl20, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((c_times @ X1 @ X0 @ t_b) = (c_times @ X0 @ X1 @ t_b))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl19, zip_derived_cl2])).
% 0.57/0.77 thf(zip_derived_cl25, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.77 ((c_times @ X2 @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 0.57/0.77 = (c_times @ (c_times @ X2 @ X0 @ t_b) @ X1 @ t_b))),
% 0.57/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl20])).
% 0.57/0.77 thf(zip_derived_cl20, plain,
% 0.57/0.77 (![X0 : $i, X1 : $i]:
% 0.57/0.77 ((c_times @ X1 @ X0 @ t_b) = (c_times @ X0 @ X1 @ t_b))),
% 0.57/0.77 inference('dp-resolution', [status(thm)],
% 0.57/0.77 [zip_derived_cl19, zip_derived_cl2])).
% 0.57/0.77 thf(zip_derived_cl48, plain,
% 0.57/0.77 (((c_times @ v_c @
% 0.57/0.77 (c_times @ v_ca @
% 0.57/0.77 (c_HOL_Oabs @ (c_times @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 0.57/0.77 t_b) @
% 0.57/0.77 t_b)
% 0.57/0.77 != (c_times @ v_c @
% 0.57/0.77 (c_times @ v_ca @
% 0.57/0.77 (c_HOL_Oabs @ (c_times @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 0.57/0.77 t_b) @
% 0.57/0.77 t_b))),
% 0.57/0.77 inference('demod', [status(thm)],
% 0.57/0.77 [zip_derived_cl24, zip_derived_cl25, zip_derived_cl20])).
% 0.57/0.77 thf(zip_derived_cl49, plain, ($false),
% 0.57/0.77 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 0.57/0.77
% 0.57/0.77 % SZS output end Refutation
% 0.57/0.77
% 0.57/0.77
% 0.57/0.77 % Terminating...
% 1.86/300.07 Alarm clock
% 1.86/300.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------