%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET852-2 : 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.9BGQ4ndnzf true
% Computer : n023.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 0.54s 0.78s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET852-2 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9BGQ4ndnzf true
% 0.13/0.37 % Computer : n023.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Oct 1 13:04:08 EDT 2025
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Running portfolio for 300 s
% 0.13/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.38 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.78 % Solved by fo/fo6_bce.sh.
% 0.54/0.78 % BCE start: 6
% 0.54/0.78 % BCE eliminated: 0
% 0.54/0.78 % PE start: 6
% 0.54/0.78 logic: neq
% 0.54/0.78 % PE eliminated: 1
% 0.54/0.78 % done 6 iterations in 0.015s
% 0.54/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.78 % SZS output start Refutation
% 0.54/0.78 thf(tc_set_type, type, tc_set: $i > $i).
% 0.54/0.78 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.54/0.78 thf(c_Union_type, type, c_Union: $i > $i > $i).
% 0.54/0.78 thf(v_S_type, type, v_S: $i).
% 0.54/0.78 thf(t_a_type, type, t_a: $i).
% 0.54/0.78 thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 0.54/0.78 thf(v_Y_type, type, v_Y: $i).
% 0.54/0.78 thf(c_Zorn_OUnion__lemma0__1_type, type, c_Zorn_OUnion__lemma0__1: $i > $i >
% 0.54/0.78 $i > $i > $i).
% 0.54/0.78 thf(v_m_type, type, v_m: $i).
% 0.54/0.78 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.54/0.78 thf(cls_conjecture_3, conjecture,
% 0.54/0.78 (c_lessequals @
% 0.54/0.78 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @
% 0.54/0.78 ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ))).
% 0.54/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.78 (~( c_lessequals @
% 0.54/0.78 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @
% 0.54/0.78 ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 0.54/0.78 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.54/0.78 thf(zip_derived_cl1, plain,
% 0.54/0.78 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.54/0.78 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))),
% 0.54/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.78 thf(cls_Zorn_OUnion__lemma0_0, axiom,
% 0.54/0.78 (( c_in @
% 0.54/0.78 ( c_Zorn_OUnion__lemma0__1 @ V_A @ V_B @ V_C @ T_a ) @ V_C @
% 0.54/0.78 ( tc_set @ T_a ) ) |
% 0.54/0.78 ( c_lessequals @ V_B @ ( c_Union @ V_C @ T_a ) @ ( tc_set @ T_a ) ) |
% 0.54/0.78 ( c_lessequals @ ( c_Union @ V_C @ T_a ) @ V_A @ ( tc_set @ T_a ) ))).
% 0.54/0.78 thf(zip_derived_cl3, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 ( (c_in @ (c_Zorn_OUnion__lemma0__1 @ X0 @ X1 @ X2 @ X3) @ X2 @
% 0.54/0.78 (tc_set @ X3))
% 0.54/0.78 | (c_lessequals @ X1 @ (c_Union @ X2 @ X3) @ (tc_set @ X3))
% 0.54/0.78 | (c_lessequals @ (c_Union @ X2 @ X3) @ X0 @ (tc_set @ X3)))),
% 0.54/0.78 inference('cnf', [status(esa)], [cls_Zorn_OUnion__lemma0_0])).
% 0.54/0.78 thf(cls_conjecture_4, conjecture,
% 0.54/0.78 (~( ( ~( c_in @ V_U @ v_Y @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 0.54/0.78 ( c_lessequals @ V_U @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) ) |
% 0.54/0.78 ( c_lessequals @
% 0.54/0.78 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @ V_U @
% 0.54/0.78 ( tc_set @ ( tc_set @ t_a ) ) ) ))).
% 0.54/0.78 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.78 (( ~( c_in @ V_U @ v_Y @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 0.54/0.78 ( c_lessequals @ V_U @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) ) |
% 0.54/0.78 ( c_lessequals @
% 0.54/0.78 ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) @ V_U @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 0.54/0.78 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.54/0.78 thf(zip_derived_cl2, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ X0 @ v_m @ (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ X0 @
% 0.54/0.78 (tc_set @ (tc_set @ t_a))))),
% 0.54/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.78 thf(zip_derived_cl6, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i]:
% 0.54/0.78 ( (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ X1 @
% 0.54/0.78 (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ X0 @ (c_Union @ v_Y @ (tc_set @ t_a)) @
% 0.54/0.78 (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.54/0.78 (c_Zorn_OUnion__lemma0__1 @ X1 @ X0 @ v_Y @ (tc_set @ t_a)) @
% 0.54/0.78 (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @
% 0.54/0.78 (c_Zorn_OUnion__lemma0__1 @ X1 @ X0 @ v_Y @ (tc_set @ t_a)) @
% 0.54/0.78 v_m @ (tc_set @ (tc_set @ t_a))))),
% 0.54/0.78 inference('dp-resolution', [status(thm)],
% 0.54/0.78 [zip_derived_cl3, zip_derived_cl2])).
% 0.54/0.78 thf(cls_Zorn_OUnion__lemma0_2, axiom,
% 0.54/0.78 (( ~( c_lessequals @
% 0.54/0.78 V_B @ ( c_Zorn_OUnion__lemma0__1 @ V_A @ V_B @ V_C @ T_a ) @
% 0.54/0.78 ( tc_set @ T_a ) ) ) |
% 0.54/0.78 ( c_lessequals @ V_B @ ( c_Union @ V_C @ T_a ) @ ( tc_set @ T_a ) ) |
% 0.54/0.78 ( c_lessequals @ ( c_Union @ V_C @ T_a ) @ V_A @ ( tc_set @ T_a ) ))).
% 0.54/0.78 thf(zip_derived_cl5, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (c_lessequals @ X0 @
% 0.54/0.78 (c_Zorn_OUnion__lemma0__1 @ X1 @ X0 @ X2 @ X3) @ (tc_set @ X3))
% 0.54/0.78 | (c_lessequals @ X0 @ (c_Union @ X2 @ X3) @ (tc_set @ X3))
% 0.54/0.78 | (c_lessequals @ (c_Union @ X2 @ X3) @ X1 @ (tc_set @ X3)))),
% 0.54/0.78 inference('cnf', [status(esa)], [cls_Zorn_OUnion__lemma0_2])).
% 0.54/0.78 thf(zip_derived_cl7, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (c_lessequals @
% 0.54/0.78 (c_Zorn_OUnion__lemma0__1 @ X0 @
% 0.54/0.78 (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ v_Y @ (tc_set @ t_a)) @
% 0.54/0.78 v_m @ (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.54/0.78 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ X0 @
% 0.54/0.78 (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.54/0.78 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ X0 @
% 0.54/0.78 (tc_set @ (tc_set @ t_a))))),
% 0.54/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 0.54/0.78 thf(zip_derived_cl1, plain,
% 0.54/0.78 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.54/0.78 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))),
% 0.54/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.78 thf(zip_derived_cl1, plain,
% 0.54/0.78 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.54/0.78 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))),
% 0.54/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.78 thf(zip_derived_cl8, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (c_lessequals @
% 0.54/0.78 (c_Zorn_OUnion__lemma0__1 @ X0 @
% 0.54/0.78 (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ v_Y @ (tc_set @ t_a)) @
% 0.54/0.78 v_m @ (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ X0 @
% 0.54/0.78 (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ X0 @
% 0.54/0.78 (tc_set @ (tc_set @ t_a))))),
% 0.54/0.78 inference('demod', [status(thm)],
% 0.54/0.78 [zip_derived_cl7, zip_derived_cl1, zip_derived_cl1])).
% 0.54/0.78 thf(zip_derived_cl9, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ X0 @
% 0.54/0.78 (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @
% 0.54/0.78 (c_Zorn_OUnion__lemma0__1 @ X0 @
% 0.54/0.78 (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ v_Y @ (tc_set @ t_a)) @
% 0.54/0.78 v_m @ (tc_set @ (tc_set @ t_a))))),
% 0.54/0.78 inference('simplify', [status(thm)], [zip_derived_cl8])).
% 0.54/0.78 thf(cls_Zorn_OUnion__lemma0_1, axiom,
% 0.54/0.78 (( ~( c_lessequals @
% 0.54/0.78 ( c_Zorn_OUnion__lemma0__1 @ V_A @ V_B @ V_C @ T_a ) @ V_A @
% 0.54/0.78 ( tc_set @ T_a ) ) ) |
% 0.54/0.78 ( c_lessequals @ V_B @ ( c_Union @ V_C @ T_a ) @ ( tc_set @ T_a ) ) |
% 0.54/0.78 ( c_lessequals @ ( c_Union @ V_C @ T_a ) @ V_A @ ( tc_set @ T_a ) ))).
% 0.54/0.78 thf(zip_derived_cl4, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (c_lessequals @ (c_Zorn_OUnion__lemma0__1 @ X0 @ X1 @ X2 @ X3) @
% 0.54/0.78 X0 @ (tc_set @ X3))
% 0.54/0.78 | (c_lessequals @ X1 @ (c_Union @ X2 @ X3) @ (tc_set @ X3))
% 0.54/0.78 | (c_lessequals @ (c_Union @ X2 @ X3) @ X0 @ (tc_set @ X3)))),
% 0.54/0.78 inference('cnf', [status(esa)], [cls_Zorn_OUnion__lemma0_1])).
% 0.54/0.78 thf(zip_derived_cl10, plain,
% 0.54/0.78 (( (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 0.54/0.78 (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.54/0.78 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))
% 0.54/0.78 | (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 0.54/0.78 (tc_set @ (tc_set @ t_a))))),
% 0.54/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 0.54/0.78 thf(cls_conjecture_2, conjecture,
% 0.54/0.78 (c_lessequals @
% 0.54/0.78 ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ v_m @ ( tc_set @ ( tc_set @ t_a ) ))).
% 0.54/0.78 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.78 (~( c_lessequals @
% 0.54/0.78 ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ v_m @
% 0.54/0.78 ( tc_set @ ( tc_set @ t_a ) ) )),
% 0.54/0.78 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.54/0.78 thf(zip_derived_cl0, plain,
% 0.54/0.78 (~ (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 0.54/0.78 (tc_set @ (tc_set @ t_a)))),
% 0.54/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.78 thf(zip_derived_cl0, plain,
% 0.54/0.78 (~ (c_lessequals @ (c_Union @ v_Y @ (tc_set @ t_a)) @ v_m @
% 0.54/0.78 (tc_set @ (tc_set @ t_a)))),
% 0.54/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.78 thf(zip_derived_cl11, plain,
% 0.54/0.78 ( (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.54/0.78 (c_Union @ v_Y @ (tc_set @ t_a)) @ (tc_set @ (tc_set @ t_a)))),
% 0.54/0.78 inference('demod', [status(thm)],
% 0.54/0.78 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl0])).
% 0.54/0.78 thf(zip_derived_cl12, plain, ($false),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 0.54/0.78
% 0.54/0.78 % SZS output end Refutation
% 0.54/0.78
% 0.54/0.78
% 0.54/0.78 % Terminating...
% 1.76/0.86 % Runner terminated.
% 1.76/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------