%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA038-2 : 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.Q4QxuUH177 true
% Computer : n019.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 04:28:55 PM UTC 2025
% Result : Unsatisfiable 0.40s 0.83s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA038-2 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Q4QxuUH177 true
% 0.14/0.35 % Computer : n019.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 : Wed Oct 1 15:21:08 EDT 2025
% 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.37/0.66 % Total configuration time : 435
% 0.37/0.66 % Estimated wc time : 1092
% 0.37/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.40/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.40/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.40/0.83 % Solved by fo/fo3_bce.sh.
% 0.40/0.83 % BCE start: 10
% 0.40/0.83 % BCE eliminated: 0
% 0.40/0.83 % PE start: 10
% 0.40/0.83 logic: neq
% 0.40/0.83 % PE eliminated: 4
% 0.40/0.83 % done 17 iterations in 0.027s
% 0.40/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.40/0.83 % SZS output start Refutation
% 0.40/0.83 thf(t_b_type, type, t_b: $i).
% 0.40/0.83 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.40/0.83 thf(c_Orderings_Omax_type, type, c_Orderings_Omax: $i > $i > $i > $i).
% 0.40/0.83 thf(v_xa_type, type, v_xa: $i).
% 0.40/0.83 thf(c_0_type, type, c_0: $i).
% 0.40/0.83 thf(v_g_type, type, v_g: $i > $i).
% 0.40/0.83 thf(class_Ring__and__Field_Opordered__semiring_type, type, class_Ring__and__Field_Opordered__semiring:
% 0.40/0.83 $i > $o).
% 0.40/0.83 thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $o).
% 0.40/0.83 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 0.40/0.83 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.40/0.83 $i > $o).
% 0.40/0.83 thf(v_c_type, type, v_c: $i).
% 0.40/0.83 thf(v_b_type, type, v_b: $i > $i).
% 0.40/0.83 thf(v_ca_type, type, v_ca: $i).
% 0.40/0.83 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.40/0.83 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.40/0.83 thf(cls_conjecture_8, conjecture,
% 0.40/0.83 (c_lessequals @
% 0.40/0.83 ( c_HOL_Oabs @ ( v_b @ v_xa ) @ t_b ) @
% 0.40/0.83 ( c_times @ ( c_Orderings_Omax @ v_c @ v_ca @ t_b ) @ ( v_g @ v_xa ) @ t_b ) @
% 0.40/0.83 t_b)).
% 0.40/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.40/0.83 (~( c_lessequals @
% 0.40/0.83 ( c_HOL_Oabs @ ( v_b @ v_xa ) @ t_b ) @
% 0.40/0.83 ( c_times @
% 0.40/0.83 ( c_Orderings_Omax @ v_c @ v_ca @ t_b ) @ ( v_g @ v_xa ) @ t_b ) @
% 0.40/0.83 t_b )),
% 0.40/0.83 inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 0.40/0.83 thf(zip_derived_cl2, plain,
% 0.40/0.83 (~ (c_lessequals @ (c_HOL_Oabs @ (v_b @ v_xa) @ t_b) @
% 0.40/0.83 (c_times @ (c_Orderings_Omax @ v_c @ v_ca @ t_b) @ (v_g @ v_xa) @ t_b) @
% 0.40/0.83 t_b)),
% 0.40/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.40/0.83 thf(cls_conjecture_5, conjecture,
% 0.40/0.83 (~( c_lessequals @
% 0.40/0.83 ( c_HOL_Oabs @ ( v_b @ v_xa ) @ t_b ) @
% 0.40/0.83 ( c_times @ v_ca @ ( v_g @ v_xa ) @ t_b ) @ t_b ))).
% 0.40/0.83 thf(zf_stmt_1, negated_conjecture,
% 0.40/0.83 (c_lessequals @
% 0.40/0.83 ( c_HOL_Oabs @ ( v_b @ v_xa ) @ t_b ) @
% 0.40/0.83 ( c_times @ v_ca @ ( v_g @ v_xa ) @ t_b ) @ t_b),
% 0.40/0.83 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.40/0.83 thf(zip_derived_cl1, plain,
% 0.40/0.83 ( (c_lessequals @ (c_HOL_Oabs @ (v_b @ v_xa) @ t_b) @
% 0.40/0.83 (c_times @ v_ca @ (v_g @ v_xa) @ t_b) @ t_b)),
% 0.40/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.83 thf(tfree_tcs, conjecture,
% 0.40/0.83 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 0.40/0.83 thf(zf_stmt_2, negated_conjecture,
% 0.40/0.83 (class_Ring__and__Field_Oordered__idom @ t_b),
% 0.40/0.83 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.40/0.83 thf(zip_derived_cl3, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.40/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.83 thf(clsrel_Ring__and__Field_Oordered__idom_42, axiom,
% 0.40/0.83 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.40/0.83 ( class_Ring__and__Field_Opordered__semiring @ T ))).
% 0.40/0.83 thf(zip_derived_cl8, plain,
% 0.40/0.83 (![X0 : $i]:
% 0.40/0.83 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.40/0.83 | (class_Ring__and__Field_Opordered__semiring @ X0))),
% 0.40/0.83 inference('cnf', [status(esa)],
% 0.40/0.83 [clsrel_Ring__and__Field_Oordered__idom_42])).
% 0.40/0.83 thf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0, axiom,
% 0.40/0.83 (( ~( class_Ring__and__Field_Opordered__semiring @ T_a ) ) |
% 0.40/0.83 ( ~( c_lessequals @ V_a @ V_b @ T_a ) ) |
% 0.40/0.83 ( ~( c_lessequals @ c_0 @ V_c @ T_a ) ) |
% 0.40/0.83 ( c_lessequals @
% 0.40/0.83 ( c_times @ V_a @ V_c @ T_a ) @ ( c_times @ V_b @ V_c @ T_a ) @ T_a ))).
% 0.40/0.83 thf(zip_derived_cl6, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.40/0.83 (~ (class_Ring__and__Field_Opordered__semiring @ X0)
% 0.40/0.83 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 0.40/0.83 | ~ (c_lessequals @ c_0 @ X3 @ X0)
% 0.40/0.83 | (c_lessequals @ (c_times @ X1 @ X3 @ X0) @
% 0.40/0.83 (c_times @ X2 @ X3 @ X0) @ X0))),
% 0.40/0.83 inference('cnf', [status(esa)],
% 0.40/0.83 [cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0])).
% 0.40/0.83 thf(zip_derived_cl12, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.40/0.83 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.40/0.83 | (c_lessequals @ (c_times @ X3 @ X1 @ X0) @
% 0.40/0.83 (c_times @ X2 @ X1 @ X0) @ X0)
% 0.40/0.83 | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 0.40/0.83 | ~ (c_lessequals @ X3 @ X2 @ X0))),
% 0.40/0.83 inference('dp-resolution', [status(thm)],
% 0.40/0.83 [zip_derived_cl8, zip_derived_cl6])).
% 0.40/0.83 thf(zip_derived_cl15, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.40/0.83 (~ (c_lessequals @ X1 @ X0 @ t_b)
% 0.40/0.83 | ~ (c_lessequals @ c_0 @ X2 @ t_b)
% 0.40/0.83 | (c_lessequals @ (c_times @ X1 @ X2 @ t_b) @
% 0.40/0.83 (c_times @ X0 @ X2 @ t_b) @ t_b))),
% 0.40/0.83 inference('dp-resolution', [status(thm)],
% 0.40/0.83 [zip_derived_cl3, zip_derived_cl12])).
% 0.40/0.83 thf(zip_derived_cl3, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.40/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.83 thf(clsrel_Ring__and__Field_Oordered__idom_44, axiom,
% 0.40/0.83 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.40/0.83 ( class_Orderings_Oorder @ T ))).
% 0.40/0.83 thf(zip_derived_cl9, plain,
% 0.40/0.83 (![X0 : $i]:
% 0.40/0.83 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.40/0.83 | (class_Orderings_Oorder @ X0))),
% 0.40/0.83 inference('cnf', [status(esa)],
% 0.40/0.83 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 0.40/0.83 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 0.40/0.83 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 0.40/0.83 ( ~( c_lessequals @ V_y @ V_z @ T_a ) ) |
% 0.40/0.83 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ) |
% 0.40/0.83 ( c_lessequals @ V_x @ V_z @ T_a ))).
% 0.40/0.83 thf(zip_derived_cl5, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.40/0.83 (~ (class_Orderings_Oorder @ X0)
% 0.40/0.83 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 0.40/0.83 | ~ (c_lessequals @ X3 @ X1 @ X0)
% 0.40/0.83 | (c_lessequals @ X3 @ X2 @ X0))),
% 0.40/0.83 inference('cnf', [status(esa)],
% 0.40/0.83 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 0.40/0.83 thf(zip_derived_cl11, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.40/0.83 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.40/0.83 | (c_lessequals @ X2 @ X1 @ X0)
% 0.40/0.83 | ~ (c_lessequals @ X2 @ X3 @ X0)
% 0.40/0.83 | ~ (c_lessequals @ X3 @ X1 @ X0))),
% 0.40/0.83 inference('dp-resolution', [status(thm)],
% 0.40/0.83 [zip_derived_cl9, zip_derived_cl5])).
% 0.40/0.83 thf(zip_derived_cl14, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.40/0.83 (~ (c_lessequals @ X1 @ X0 @ t_b)
% 0.40/0.83 | ~ (c_lessequals @ X2 @ X1 @ t_b)
% 0.40/0.83 | (c_lessequals @ X2 @ X0 @ t_b))),
% 0.40/0.83 inference('dp-resolution', [status(thm)],
% 0.40/0.83 [zip_derived_cl3, zip_derived_cl11])).
% 0.40/0.83 thf(zip_derived_cl21, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.40/0.83 (~ (c_lessequals @ c_0 @ X0 @ t_b)
% 0.40/0.83 | ~ (c_lessequals @ X2 @ X1 @ t_b)
% 0.40/0.83 | (c_lessequals @ X3 @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 0.40/0.83 | ~ (c_lessequals @ X3 @ (c_times @ X2 @ X0 @ t_b) @ t_b))),
% 0.40/0.83 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl14])).
% 0.40/0.83 thf(zip_derived_cl37, plain,
% 0.40/0.83 (![X0 : $i]:
% 0.40/0.83 ( (c_lessequals @ (c_HOL_Oabs @ (v_b @ v_xa) @ t_b) @
% 0.40/0.83 (c_times @ X0 @ (v_g @ v_xa) @ t_b) @ t_b)
% 0.40/0.83 | ~ (c_lessequals @ v_ca @ X0 @ t_b)
% 0.40/0.83 | ~ (c_lessequals @ c_0 @ (v_g @ v_xa) @ t_b))),
% 0.40/0.83 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 0.40/0.83 thf(cls_conjecture_3, conjecture,
% 0.40/0.83 (~( c_lessequals @ c_0 @ ( v_g @ v_xa ) @ t_b ))).
% 0.40/0.83 thf(zf_stmt_3, negated_conjecture,
% 0.40/0.83 (c_lessequals @ c_0 @ ( v_g @ v_xa ) @ t_b),
% 0.40/0.83 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.40/0.83 thf(zip_derived_cl0, plain, ( (c_lessequals @ c_0 @ (v_g @ v_xa) @ t_b)),
% 0.40/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.40/0.83 thf(zip_derived_cl41, plain,
% 0.40/0.83 (![X0 : $i]:
% 0.40/0.83 ( (c_lessequals @ (c_HOL_Oabs @ (v_b @ v_xa) @ t_b) @
% 0.40/0.83 (c_times @ X0 @ (v_g @ v_xa) @ t_b) @ t_b)
% 0.40/0.83 | ~ (c_lessequals @ v_ca @ X0 @ t_b))),
% 0.40/0.83 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 0.40/0.83 thf(zip_derived_cl47, plain,
% 0.40/0.83 (~ (c_lessequals @ v_ca @ (c_Orderings_Omax @ v_c @ v_ca @ t_b) @ t_b)),
% 0.40/0.83 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl41])).
% 0.40/0.83 thf(zip_derived_cl3, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.40/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.83 thf(clsrel_Ring__and__Field_Oordered__idom_33, axiom,
% 0.40/0.83 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.40/0.83 ( class_Orderings_Olinorder @ T ))).
% 0.40/0.83 thf(zip_derived_cl7, plain,
% 0.40/0.83 (![X0 : $i]:
% 0.40/0.83 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.40/0.83 | (class_Orderings_Olinorder @ X0))),
% 0.40/0.83 inference('cnf', [status(esa)],
% 0.40/0.83 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 0.40/0.83 thf(cls_Orderings_Ole__maxI2_0, axiom,
% 0.40/0.83 (( ~( class_Orderings_Olinorder @ T_b ) ) |
% 0.40/0.83 ( c_lessequals @ V_y @ ( c_Orderings_Omax @ V_x @ V_y @ T_b ) @ T_b ))).
% 0.40/0.83 thf(zip_derived_cl4, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.40/0.83 (~ (class_Orderings_Olinorder @ X0)
% 0.40/0.83 | (c_lessequals @ X1 @ (c_Orderings_Omax @ X2 @ X1 @ X0) @ X0))),
% 0.40/0.83 inference('cnf', [status(esa)], [cls_Orderings_Ole__maxI2_0])).
% 0.40/0.83 thf(zip_derived_cl10, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.40/0.83 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.40/0.83 | (c_lessequals @ X1 @ (c_Orderings_Omax @ X2 @ X1 @ X0) @ X0))),
% 0.40/0.83 inference('dp-resolution', [status(thm)],
% 0.40/0.83 [zip_derived_cl7, zip_derived_cl4])).
% 0.40/0.83 thf(zip_derived_cl13, plain,
% 0.40/0.83 (![X0 : $i, X1 : $i]:
% 0.40/0.83 (c_lessequals @ X0 @ (c_Orderings_Omax @ X1 @ X0 @ t_b) @ t_b)),
% 0.40/0.83 inference('dp-resolution', [status(thm)],
% 0.40/0.83 [zip_derived_cl3, zip_derived_cl10])).
% 0.40/0.83 thf(zip_derived_cl48, plain, ($false),
% 0.40/0.83 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl13])).
% 0.40/0.83
% 0.40/0.83 % SZS output end Refutation
% 0.40/0.83
% 0.40/0.83
% 0.40/0.83 % Terminating...
% 0.40/0.88 % Runner terminated.
% 0.40/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------