%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET851-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q7AgD1o8uY 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 : Thu Oct 2 04:53:00 PM UTC 2025
% Result : Unsatisfiable 1.22s 0.70s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET851-2 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q7AgD1o8uY 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 : Wed Oct 1 13:12:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.62 % Total configuration time : 435
% 0.19/0.62 % Estimated wc time : 1092
% 0.19/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.83/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.83/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.22/0.70 % Solved by fo/fo6_bce.sh.
% 1.22/0.70 % BCE start: 7
% 1.22/0.70 % BCE eliminated: 0
% 1.22/0.70 % PE start: 7
% 1.22/0.70 logic: eq
% 1.22/0.70 % PE eliminated: 1
% 1.22/0.70 % done 8 iterations in 0.013s
% 1.22/0.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/0.70 % SZS output start Refutation
% 1.22/0.70 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 1.22/0.70 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 1.22/0.70 thf(v_m_type, type, v_m: $i).
% 1.22/0.70 thf(tc_set_type, type, tc_set: $i > $i).
% 1.22/0.70 thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 1.22/0.70 thf(v_S_type, type, v_S: $i).
% 1.22/0.70 thf(c_Zorn_OTFin_type, type, c_Zorn_OTFin: $i > $i > $i).
% 1.22/0.70 thf(t_a_type, type, t_a: $i).
% 1.22/0.70 thf(v_x_type, type, v_x: $i).
% 1.22/0.70 thf(cls_conjecture_3, conjecture,
% 1.22/0.70 (c_lessequals @
% 1.22/0.70 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @ ( c_Zorn_Osucc @ v_S @ v_x @ t_a ) @
% 1.22/0.70 ( tc_set @ ( tc_set @ t_a ) ))).
% 1.22/0.70 thf(zf_stmt_0, negated_conjecture,
% 1.22/0.70 (~( c_lessequals @
% 1.22/0.70 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @
% 1.22/0.70 ( c_Zorn_Osucc @ v_S @ v_x @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 1.22/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 1.22/0.70 thf(zip_derived_cl4, plain,
% 1.22/0.70 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 1.22/0.70 (c_Zorn_Osucc @ v_S @ v_x @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 1.22/0.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.70 thf(cls_conjecture_1, conjecture,
% 1.22/0.70 (~( c_in @
% 1.22/0.70 v_x @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ))).
% 1.22/0.70 thf(zf_stmt_1, negated_conjecture,
% 1.22/0.70 (c_in @ v_x @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) )),
% 1.22/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 1.22/0.70 thf(zip_derived_cl2, plain,
% 1.22/0.70 ( (c_in @ v_x @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 1.22/0.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.22/0.70 thf(cls_conjecture_5, conjecture,
% 1.22/0.70 (~( ( ~( c_in @
% 1.22/0.70 V_U @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.22/0.70 ( ~( c_lessequals @ V_U @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.22/0.70 ( ( V_U ) = ( v_m ) ) |
% 1.22/0.70 ( c_lessequals @
% 1.22/0.70 ( c_Zorn_Osucc @ v_S @ V_U @ t_a ) @ v_m @
% 1.22/0.70 ( tc_set @ ( tc_set @ t_a ) ) ) ))).
% 1.22/0.70 thf(zf_stmt_2, negated_conjecture,
% 1.22/0.70 (( ~( c_in @
% 1.22/0.70 V_U @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.22/0.70 ( ~( c_lessequals @ V_U @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.22/0.70 ( ( V_U ) = ( v_m ) ) |
% 1.22/0.70 ( c_lessequals @
% 1.22/0.70 ( c_Zorn_Osucc @ v_S @ V_U @ t_a ) @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 1.22/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 1.22/0.70 thf(zip_derived_cl6, plain,
% 1.22/0.70 (![X0 : $i]:
% 1.22/0.70 (~ (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.22/0.70 | ~ (c_lessequals @ X0 @ v_m @ (tc_set @ (tc_set @ t_a)))
% 1.22/0.70 | ((X0) = (v_m))
% 1.22/0.70 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ v_m @
% 1.22/0.70 (tc_set @ (tc_set @ t_a))))),
% 1.22/0.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.22/0.70 thf(zip_derived_cl33, plain,
% 1.22/0.70 (![X0 : $i]:
% 1.22/0.70 (((v_x) != (X0))
% 1.22/0.70 | ((c_Zorn_OTFin @ v_S @ t_a) != (c_Zorn_OTFin @ v_S @ t_a))
% 1.22/0.70 | ((tc_set @ (tc_set @ t_a)) != (tc_set @ (tc_set @ t_a)))
% 1.22/0.70 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ v_m @
% 1.22/0.70 (tc_set @ (tc_set @ t_a)))
% 1.22/0.70 | ((X0) = (v_m))
% 1.22/0.70 | ~ (c_lessequals @ X0 @ v_m @ (tc_set @ (tc_set @ t_a))))),
% 1.22/0.70 inference('dp-resolution', [status(thm)],
% 1.22/0.70 [zip_derived_cl2, zip_derived_cl6])).
% 1.22/0.70 thf(zip_derived_cl36, plain,
% 1.22/0.70 (![X0 : $i]:
% 1.22/0.70 (~ (c_lessequals @ X0 @ v_m @ (tc_set @ (tc_set @ t_a)))
% 1.22/0.70 | ((X0) = (v_m))
% 1.22/0.70 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ v_m @
% 1.22/0.70 (tc_set @ (tc_set @ t_a)))
% 1.22/0.70 | ((v_x) != (X0)))),
% 1.22/0.70 inference('simplify', [status(thm)], [zip_derived_cl33])).
% 1.22/0.70 thf(cls_conjecture_2, conjecture,
% 1.22/0.70 (c_lessequals @
% 1.22/0.70 ( c_Zorn_Osucc @ v_S @ v_x @ t_a ) @ v_m @ ( tc_set @ ( tc_set @ t_a ) ))).
% 1.22/0.70 thf(zf_stmt_3, negated_conjecture,
% 1.22/0.70 (~( c_lessequals @
% 1.22/0.70 ( c_Zorn_Osucc @ v_S @ v_x @ t_a ) @ v_m @
% 1.22/0.70 ( tc_set @ ( tc_set @ t_a ) ) )),
% 1.22/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 1.22/0.70 thf(zip_derived_cl3, plain,
% 1.22/0.70 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_x @ t_a) @ v_m @
% 1.22/0.70 (tc_set @ (tc_set @ t_a)))),
% 1.22/0.70 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.22/0.70 thf(zip_derived_cl37, plain,
% 1.22/0.70 ((((v_x) != (v_x))
% 1.22/0.70 | ((v_x) = (v_m))
% 1.22/0.70 | ~ (c_lessequals @ v_x @ v_m @ (tc_set @ (tc_set @ t_a))))),
% 1.22/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl3])).
% 1.22/0.70 thf(cls_conjecture_4, conjecture,
% 1.22/0.70 (~( ( c_lessequals @ v_x @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) ) |
% 1.22/0.70 ( c_lessequals @
% 1.22/0.70 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @ v_x @
% 1.22/0.70 ( tc_set @ ( tc_set @ t_a ) ) ) ))).
% 1.22/0.70 thf(zf_stmt_4, negated_conjecture,
% 1.22/0.70 (( c_lessequals @ v_x @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) ) |
% 1.22/0.70 ( c_lessequals @
% 1.22/0.70 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @ v_x @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 1.22/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 1.22/0.70 thf(zip_derived_cl5, plain,
% 1.22/0.70 (( (c_lessequals @ v_x @ v_m @ (tc_set @ (tc_set @ t_a)))
% 1.22/0.70 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ v_x @
% 1.22/0.70 (tc_set @ (tc_set @ t_a))))),
% 1.22/0.70 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.22/0.70 thf(cls_Zorn_Osucc__trans_0, axiom,
% 1.22/0.70 (( ~( c_lessequals @ V_x @ V_y @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.22/0.70 ( c_lessequals @
% 1.22/0.70 V_x @ ( c_Zorn_Osucc @ V_S @ V_y @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 1.22/0.70 thf(zip_derived_cl1, plain,
% 1.22/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.70 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ (tc_set @ X2)))
% 1.22/0.70 | (c_lessequals @ X0 @ (c_Zorn_Osucc @ X3 @ X1 @ X2) @
% 1.22/0.70 (tc_set @ (tc_set @ X2))))),
% 1.22/0.70 inference('cnf', [status(esa)], [cls_Zorn_Osucc__trans_0])).
% 1.22/0.70 thf(zip_derived_cl4, plain,
% 1.22/0.70 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 1.22/0.70 (c_Zorn_Osucc @ v_S @ v_x @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 1.22/0.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.70 thf(zip_derived_cl34, plain,
% 1.22/0.70 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ v_x @
% 1.22/0.70 (tc_set @ (tc_set @ t_a)))),
% 1.22/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 1.22/0.70 thf(zip_derived_cl35, plain,
% 1.22/0.70 ( (c_lessequals @ v_x @ v_m @ (tc_set @ (tc_set @ t_a)))),
% 1.22/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 1.22/0.70 thf(zip_derived_cl38, plain, ((((v_x) != (v_x)) | ((v_x) = (v_m)))),
% 1.22/0.70 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl35])).
% 1.22/0.70 thf(zip_derived_cl39, plain, (((v_x) = (v_m))),
% 1.22/0.70 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 1.22/0.70 thf(cls_Set_Osubset__refl_0, axiom,
% 1.22/0.70 (c_lessequals @ V_A @ V_A @ ( tc_set @ T_a ))).
% 1.22/0.70 thf(zip_derived_cl0, plain,
% 1.22/0.70 (![X0 : $i, X1 : $i]: (c_lessequals @ X0 @ X0 @ (tc_set @ X1))),
% 1.22/0.70 inference('cnf', [status(esa)], [cls_Set_Osubset__refl_0])).
% 1.22/0.70 thf(zip_derived_cl41, plain, ($false),
% 1.22/0.70 inference('demod', [status(thm)],
% 1.22/0.70 [zip_derived_cl4, zip_derived_cl39, zip_derived_cl0])).
% 1.22/0.70
% 1.22/0.70 % SZS output end Refutation
% 1.22/0.70
% 1.22/0.70
% 1.22/0.70 % Terminating...
% 1.31/0.81 % Runner terminated.
% 1.31/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------