%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET865-2 : 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.YGivHQQCNJ true
% Computer : n003.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 04:53:03 PM UTC 2025
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET865-2 : 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.YGivHQQCNJ true
% 0.13/0.34 % Computer : n003.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 12:54:53 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
% 0.53/0.67 % Total configuration time : 435
% 0.53/0.67 % Estimated wc time : 1092
% 0.53/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % Solved by fo/fo6_bce.sh.
% 0.55/0.75 % BCE start: 8
% 0.55/0.75 % BCE eliminated: 0
% 0.55/0.75 % PE start: 8
% 0.55/0.75 logic: eq
% 0.55/0.75 % PE eliminated: 0
% 0.55/0.75 % done 18 iterations in 0.018s
% 0.55/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.75 % SZS output start Refutation
% 0.55/0.75 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.55/0.75 thf(c_Zorn_Omaxchain_type, type, c_Zorn_Omaxchain: $i > $i > $i).
% 0.55/0.75 thf(c_Union_type, type, c_Union: $i > $i > $i).
% 0.55/0.75 thf(v_x_type, type, v_x: $i > $i).
% 0.55/0.75 thf(c_Zorn_OHausdorff__1_type, type, c_Zorn_OHausdorff__1: $i > $i > $i).
% 0.55/0.75 thf(c_Zorn_Ochain_type, type, c_Zorn_Ochain: $i > $i > $i).
% 0.55/0.75 thf(tc_set_type, type, tc_set: $i > $i).
% 0.55/0.75 thf(t_a_type, type, t_a: $i).
% 0.55/0.75 thf(v_S_type, type, v_S: $i).
% 0.55/0.75 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.55/0.75 thf(cls_conjecture_2, conjecture,
% 0.55/0.75 (~( ( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.55/0.75 ( c_lessequals @ V_U @ ( v_x @ V_U ) @ ( tc_set @ t_a ) ) ))).
% 0.55/0.75 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.75 (( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.55/0.75 ( c_lessequals @ V_U @ ( v_x @ V_U ) @ ( tc_set @ t_a ) )),
% 0.55/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.55/0.75 thf(zip_derived_cl2, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 0.55/0.75 | (c_lessequals @ X0 @ (v_x @ X0) @ (tc_set @ t_a)))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.75 thf(cls_Zorn_OHausdorff_0, axiom,
% 0.55/0.75 (c_in @
% 0.55/0.75 ( c_Zorn_OHausdorff__1 @ V_S @ T_a ) @ ( c_Zorn_Omaxchain @ V_S @ T_a ) @
% 0.55/0.75 ( tc_set @ ( tc_set @ T_a ) ))).
% 0.55/0.75 thf(zip_derived_cl5, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]:
% 0.55/0.75 (c_in @ (c_Zorn_OHausdorff__1 @ X0 @ X1) @
% 0.55/0.75 (c_Zorn_Omaxchain @ X0 @ X1) @ (tc_set @ (tc_set @ X1)))),
% 0.55/0.75 inference('cnf', [status(esa)], [cls_Zorn_OHausdorff_0])).
% 0.55/0.75 thf(zip_derived_cl5, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]:
% 0.55/0.75 (c_in @ (c_Zorn_OHausdorff__1 @ X0 @ X1) @
% 0.55/0.75 (c_Zorn_Omaxchain @ X0 @ X1) @ (tc_set @ (tc_set @ X1)))),
% 0.55/0.75 inference('cnf', [status(esa)], [cls_Zorn_OHausdorff_0])).
% 0.55/0.75 thf(cls_Zorn_Omaxchain__subset__chain_0, axiom,
% 0.55/0.75 (c_lessequals @
% 0.55/0.75 ( c_Zorn_Omaxchain @ V_S @ T_a ) @ ( c_Zorn_Ochain @ V_S @ T_a ) @
% 0.55/0.75 ( tc_set @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.55/0.75 thf(zip_derived_cl7, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]:
% 0.55/0.75 (c_lessequals @ (c_Zorn_Omaxchain @ X0 @ X1) @
% 0.55/0.75 (c_Zorn_Ochain @ X0 @ X1) @ (tc_set @ (tc_set @ (tc_set @ X1))))),
% 0.55/0.75 inference('cnf', [status(esa)], [cls_Zorn_Omaxchain__subset__chain_0])).
% 0.55/0.75 thf(cls_Set_OsubsetD_0, axiom,
% 0.55/0.75 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.55/0.75 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.55/0.75 ( c_in @ V_c @ V_B @ T_a ))).
% 0.55/0.75 thf(zip_derived_cl4, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (~ (c_in @ X0 @ X1 @ X2)
% 0.55/0.75 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 0.55/0.75 | (c_in @ X0 @ X3 @ X2))),
% 0.55/0.75 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 0.55/0.75 thf(zip_derived_cl51, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 (~ (c_in @ X2 @ (c_Zorn_Omaxchain @ X1 @ X0) @
% 0.55/0.75 (tc_set @ (tc_set @ X0)))
% 0.55/0.75 | (c_in @ X2 @ (c_Zorn_Ochain @ X1 @ X0) @ (tc_set @ (tc_set @ X0))))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 0.55/0.75 thf(cls_conjecture_0, conjecture,
% 0.55/0.75 (~( ( ~( c_in @
% 0.55/0.75 V_U @ ( c_Zorn_Ochain @ v_S @ t_a ) @
% 0.55/0.75 ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 0.55/0.75 ( c_in @ ( c_Union @ V_U @ t_a ) @ v_S @ ( tc_set @ t_a ) ) ))).
% 0.55/0.75 thf(zf_stmt_1, negated_conjecture,
% 0.55/0.75 (( ~( c_in @
% 0.55/0.75 V_U @ ( c_Zorn_Ochain @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 0.55/0.75 ( c_in @ ( c_Union @ V_U @ t_a ) @ v_S @ ( tc_set @ t_a ) )),
% 0.55/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.55/0.75 thf(zip_derived_cl0, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 (~ (c_in @ X0 @ (c_Zorn_Ochain @ v_S @ t_a) @
% 0.55/0.75 (tc_set @ (tc_set @ t_a)))
% 0.55/0.75 | (c_in @ (c_Union @ X0 @ t_a) @ v_S @ (tc_set @ t_a)))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.75 thf(zip_derived_cl55, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 (~ (c_in @ X0 @ (c_Zorn_Omaxchain @ v_S @ t_a) @
% 0.55/0.75 (tc_set @ (tc_set @ t_a)))
% 0.55/0.75 | (c_in @ (c_Union @ X0 @ t_a) @ v_S @ (tc_set @ t_a)))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.55/0.75 thf(zip_derived_cl57, plain,
% 0.55/0.75 ( (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a) @ v_S @
% 0.55/0.75 (tc_set @ t_a))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl55])).
% 0.55/0.75 thf(cls_conjecture_1, conjecture,
% 0.55/0.75 (~( ( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.55/0.75 ( c_in @ ( v_x @ V_U ) @ v_S @ ( tc_set @ t_a ) ) ))).
% 0.55/0.75 thf(zf_stmt_2, negated_conjecture,
% 0.55/0.75 (( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.55/0.75 ( c_in @ ( v_x @ V_U ) @ v_S @ ( tc_set @ t_a ) )),
% 0.55/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.55/0.75 thf(zip_derived_cl1, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 0.55/0.75 | (c_in @ (v_x @ X0) @ v_S @ (tc_set @ t_a)))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.75 thf(cls_Zorn_Omaxchain__Zorn_0, axiom,
% 0.55/0.75 (( ~( c_in @ V_u @ V_S @ ( tc_set @ T_a ) ) ) |
% 0.55/0.75 ( ~( c_in @
% 0.55/0.75 V_c @ ( c_Zorn_Omaxchain @ V_S @ T_a ) @
% 0.55/0.75 ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.55/0.75 ( ~( c_lessequals @ ( c_Union @ V_c @ T_a ) @ V_u @ ( tc_set @ T_a ) ) ) |
% 0.55/0.76 ( ( c_Union @ V_c @ T_a ) = ( V_u ) ))).
% 0.55/0.76 thf(zip_derived_cl6, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (c_in @ X0 @ X1 @ (tc_set @ X2))
% 0.55/0.76 | ~ (c_in @ X3 @ (c_Zorn_Omaxchain @ X1 @ X2) @
% 0.55/0.76 (tc_set @ (tc_set @ X2)))
% 0.55/0.76 | ~ (c_lessequals @ (c_Union @ X3 @ X2) @ X0 @ (tc_set @ X2))
% 0.55/0.76 | ((c_Union @ X3 @ X2) = (X0)))),
% 0.55/0.76 inference('cnf', [status(esa)], [cls_Zorn_Omaxchain__Zorn_0])).
% 0.55/0.76 thf(zip_derived_cl52, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i]:
% 0.55/0.76 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a))
% 0.55/0.76 | ~ (c_in @ X1 @ (c_Zorn_Omaxchain @ v_S @ t_a) @
% 0.55/0.76 (tc_set @ (tc_set @ t_a)))
% 0.55/0.76 | ~ (c_lessequals @ (c_Union @ X1 @ t_a) @ (v_x @ X0) @
% 0.55/0.76 (tc_set @ t_a))
% 0.55/0.76 | ((c_Union @ X1 @ t_a) = (v_x @ X0)))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 0.55/0.76 thf(zip_derived_cl60, plain,
% 0.55/0.76 (![X0 : $i]:
% 0.55/0.76 (~ (c_in @ X0 @ (c_Zorn_Omaxchain @ v_S @ t_a) @
% 0.55/0.76 (tc_set @ (tc_set @ t_a)))
% 0.55/0.76 | ~ (c_lessequals @ (c_Union @ X0 @ t_a) @
% 0.55/0.76 (v_x @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a)) @
% 0.55/0.76 (tc_set @ t_a))
% 0.55/0.76 | ((c_Union @ X0 @ t_a)
% 0.55/0.76 = (v_x @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a))))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl52])).
% 0.55/0.76 thf(zip_derived_cl62, plain,
% 0.55/0.76 ((~ (c_lessequals @
% 0.55/0.76 (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a) @
% 0.55/0.76 (v_x @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a)) @
% 0.55/0.76 (tc_set @ t_a))
% 0.55/0.76 | ((c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a)
% 0.55/0.76 = (v_x @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a))))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl60])).
% 0.55/0.76 thf(zip_derived_cl63, plain,
% 0.55/0.76 ((~ (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a) @ v_S @
% 0.55/0.76 (tc_set @ t_a))
% 0.55/0.76 | ((c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a)
% 0.55/0.76 = (v_x @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a))))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl62])).
% 0.55/0.76 thf(zip_derived_cl57, plain,
% 0.55/0.76 ( (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a) @ v_S @
% 0.55/0.76 (tc_set @ t_a))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl55])).
% 0.55/0.76 thf(zip_derived_cl64, plain,
% 0.55/0.76 (((c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a)
% 0.55/0.76 = (v_x @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a)))),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl57])).
% 0.55/0.76 thf(cls_conjecture_3, conjecture,
% 0.55/0.76 (~( ( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.55/0.76 ( ( V_U ) != ( v_x @ V_U ) ) ))).
% 0.55/0.76 thf(zf_stmt_3, negated_conjecture,
% 0.55/0.76 (( ~( c_in @ V_U @ v_S @ ( tc_set @ t_a ) ) ) |
% 0.55/0.76 ( ( V_U ) != ( v_x @ V_U ) )),
% 0.55/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.55/0.76 thf(zip_derived_cl3, plain,
% 0.55/0.76 (![X0 : $i]:
% 0.55/0.76 (~ (c_in @ X0 @ v_S @ (tc_set @ t_a)) | ((X0) != (v_x @ X0)))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.76 thf(zip_derived_cl70, plain,
% 0.55/0.76 ((~ (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a) @ v_S @
% 0.55/0.76 (tc_set @ t_a))
% 0.55/0.76 | ((c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a)
% 0.55/0.76 != (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a)))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl3])).
% 0.55/0.76 thf(zip_derived_cl57, plain,
% 0.55/0.76 ( (c_in @ (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a) @ v_S @
% 0.55/0.76 (tc_set @ t_a))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl55])).
% 0.55/0.76 thf(zip_derived_cl74, plain,
% 0.55/0.76 (((c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a)
% 0.55/0.76 != (c_Union @ (c_Zorn_OHausdorff__1 @ v_S @ t_a) @ t_a))),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl57])).
% 0.55/0.76 thf(zip_derived_cl75, plain, ($false),
% 0.55/0.76 inference('simplify', [status(thm)], [zip_derived_cl74])).
% 0.55/0.76
% 0.55/0.76 % SZS output end Refutation
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % Terminating...
% 1.63/0.86 % Runner terminated.
% 1.66/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------