%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET843-2 : 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.jk8k1M8dwX true
% Computer : n021.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 04:52:58 PM UTC 2025
% Result : Unsatisfiable 0.52s 0.70s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET843-2 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jk8k1M8dwX true
% 0.13/0.34 % Computer : n021.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 13:14:23 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.48/0.58 % Total configuration time : 435
% 0.48/0.58 % Estimated wc time : 1092
% 0.48/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.70 % Solved by fo/fo3_bce.sh.
% 0.52/0.70 % BCE start: 10
% 0.52/0.70 % BCE eliminated: 0
% 0.52/0.70 % PE start: 10
% 0.52/0.70 logic: eq
% 0.52/0.70 % PE eliminated: 0
% 0.52/0.70 % done 34 iterations in 0.018s
% 0.52/0.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.70 % SZS output start Refutation
% 0.52/0.70 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.52/0.70 thf(tc_set_type, type, tc_set: $i > $i).
% 0.52/0.70 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.52/0.70 thf(c_Union_type, type, c_Union: $i > $i > $i).
% 0.52/0.70 thf(c_Zorn_OTFin_type, type, c_Zorn_OTFin: $i > $i > $i).
% 0.52/0.70 thf(v_m_type, type, v_m: $i).
% 0.52/0.70 thf(t_a_type, type, t_a: $i).
% 0.52/0.70 thf(v_S_type, type, v_S: $i).
% 0.52/0.70 thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 0.52/0.70 thf(cls_conjecture_2, conjecture,
% 0.52/0.70 (~( ( ( v_m ) =
% 0.52/0.70 ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) ) |
% 0.52/0.70 ( ( v_m ) = ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) ) ))).
% 0.52/0.70 thf(zf_stmt_0, negated_conjecture,
% 0.52/0.70 (( ( v_m ) = ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) ) |
% 0.52/0.70 ( ( v_m ) = ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) )),
% 0.52/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.52/0.70 thf(zip_derived_cl9, plain,
% 0.52/0.70 ((((v_m) = (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))
% 0.52/0.70 | ((v_m) = (c_Zorn_Osucc @ v_S @ v_m @ t_a)))),
% 0.52/0.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.52/0.70 thf(cls_Zorn_OTFin__UnionI_0, axiom,
% 0.52/0.70 (( ~( c_lessequals @
% 0.52/0.70 V_Y @ ( c_Zorn_OTFin @ V_S @ T_a ) @
% 0.52/0.70 ( tc_set @ ( tc_set @ ( tc_set @ T_a ) ) ) ) ) |
% 0.52/0.70 ( c_in @
% 0.52/0.70 ( c_Union @ V_Y @ ( tc_set @ T_a ) ) @ ( c_Zorn_OTFin @ V_S @ T_a ) @
% 0.52/0.70 ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.52/0.70 thf(zip_derived_cl5, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 (~ (c_lessequals @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @
% 0.52/0.70 (tc_set @ (tc_set @ (tc_set @ X2))))
% 0.52/0.70 | (c_in @ (c_Union @ X0 @ (tc_set @ X2)) @
% 0.52/0.70 (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2))))),
% 0.52/0.70 inference('cnf', [status(esa)], [cls_Zorn_OTFin__UnionI_0])).
% 0.52/0.70 thf(cls_Set_Osubset__refl_0, axiom,
% 0.52/0.70 (c_lessequals @ V_A @ V_A @ ( tc_set @ T_a ))).
% 0.52/0.70 thf(zip_derived_cl2, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]: (c_lessequals @ X0 @ X0 @ (tc_set @ X1))),
% 0.52/0.70 inference('cnf', [status(esa)], [cls_Set_Osubset__refl_0])).
% 0.52/0.70 thf(zip_derived_cl49, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (c_in @ (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @
% 0.52/0.70 (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ (tc_set @ X0)))),
% 0.52/0.70 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 0.52/0.70 thf(cls_Zorn_Oeq__succ__upper_0, axiom,
% 0.52/0.70 (( ~( c_in @
% 0.52/0.70 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.52/0.70 ( ~( c_in @
% 0.52/0.70 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.52/0.70 ( ( V_m ) != ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) ) |
% 0.52/0.70 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.52/0.70 thf(zip_derived_cl6, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.52/0.70 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.52/0.70 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.52/0.70 | ((X0) != (c_Zorn_Osucc @ X1 @ X0 @ X2))
% 0.52/0.70 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2))))),
% 0.52/0.70 inference('cnf', [status(esa)], [cls_Zorn_Oeq__succ__upper_0])).
% 0.52/0.70 thf(zip_derived_cl67, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 ( (c_lessequals @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @ X2 @
% 0.52/0.70 (tc_set @ (tc_set @ X0)))
% 0.52/0.70 | ((X2) != (c_Zorn_Osucc @ X1 @ X2 @ X0))
% 0.52/0.70 | ~ (c_in @ X2 @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ (tc_set @ X0))))),
% 0.52/0.70 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl6])).
% 0.52/0.70 thf(zip_derived_cl90, plain,
% 0.52/0.70 ((((v_m) != (v_m))
% 0.52/0.70 | ((v_m) = (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))
% 0.52/0.70 | ~ (c_in @ v_m @ (c_Zorn_OTFin @ v_S @ t_a) @
% 0.52/0.70 (tc_set @ (tc_set @ t_a)))
% 0.52/0.70 | (c_lessequals @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @ v_m @
% 0.52/0.70 (tc_set @ (tc_set @ t_a))))),
% 0.52/0.70 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl67])).
% 0.52/0.70 thf(cls_conjecture_0, conjecture,
% 0.52/0.70 (~( c_in @
% 0.52/0.70 v_m @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ))).
% 0.52/0.70 thf(zf_stmt_1, negated_conjecture,
% 0.52/0.70 (c_in @ v_m @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) )),
% 0.52/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.52/0.70 thf(zip_derived_cl7, plain,
% 0.52/0.70 ( (c_in @ v_m @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 0.52/0.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.52/0.70 thf(zip_derived_cl93, plain,
% 0.52/0.70 ((((v_m) != (v_m))
% 0.52/0.70 | ((v_m) = (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))
% 0.52/0.70 | (c_lessequals @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @ v_m @
% 0.52/0.70 (tc_set @ (tc_set @ t_a))))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl7])).
% 0.52/0.70 thf(zip_derived_cl94, plain,
% 0.52/0.70 (( (c_lessequals @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @ v_m @
% 0.52/0.70 (tc_set @ (tc_set @ t_a)))
% 0.52/0.70 | ((v_m) = (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a))))),
% 0.52/0.70 inference('simplify', [status(thm)], [zip_derived_cl93])).
% 0.52/0.70 thf(cls_Zorn_OTFin_OsuccI_0, axiom,
% 0.52/0.70 (( ~( c_in @
% 0.52/0.70 V_x @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.52/0.70 ( c_in @
% 0.52/0.70 ( c_Zorn_Osucc @ V_S @ V_x @ T_a ) @ ( c_Zorn_OTFin @ V_S @ T_a ) @
% 0.52/0.70 ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.52/0.70 thf(zip_derived_cl4, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.52/0.70 | (c_in @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @
% 0.52/0.70 (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2))))),
% 0.52/0.70 inference('cnf', [status(esa)], [cls_Zorn_OTFin_OsuccI_0])).
% 0.52/0.70 thf(cls_Set_OUnion__upper_0, axiom,
% 0.52/0.70 (( ~( c_in @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 0.52/0.70 ( c_lessequals @ V_B @ ( c_Union @ V_A @ T_a ) @ ( tc_set @ T_a ) ))).
% 0.52/0.70 thf(zip_derived_cl0, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 (~ (c_in @ X0 @ X1 @ (tc_set @ X2))
% 0.52/0.70 | (c_lessequals @ X0 @ (c_Union @ X1 @ X2) @ (tc_set @ X2)))),
% 0.52/0.70 inference('cnf', [status(esa)], [cls_Set_OUnion__upper_0])).
% 0.52/0.70 thf(cls_Set_Osubset__antisym_0, axiom,
% 0.52/0.70 (( ~( c_lessequals @ V_B @ V_A @ ( tc_set @ T_a ) ) ) |
% 0.52/0.70 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.52/0.70 ( ( V_A ) = ( V_B ) ))).
% 0.52/0.70 thf(zip_derived_cl1, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.52/0.70 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 0.52/0.70 | ((X1) = (X0)))),
% 0.52/0.70 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 0.52/0.70 thf(zip_derived_cl46, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 (~ (c_in @ X2 @ X1 @ (tc_set @ X0))
% 0.52/0.70 | ((c_Union @ X1 @ X0) = (X2))
% 0.52/0.70 | ~ (c_lessequals @ (c_Union @ X1 @ X0) @ X2 @ (tc_set @ X0)))),
% 0.52/0.70 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.52/0.70 thf(cls_Zorn_OAbrial__axiom1_0, axiom,
% 0.52/0.70 (c_lessequals @
% 0.52/0.70 V_x @ ( c_Zorn_Osucc @ V_S @ V_x @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ))).
% 0.52/0.70 thf(zip_derived_cl3, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 (c_lessequals @ X0 @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @
% 0.52/0.70 (tc_set @ (tc_set @ X2)))),
% 0.52/0.70 inference('cnf', [status(esa)], [cls_Zorn_OAbrial__axiom1_0])).
% 0.52/0.70 thf(zip_derived_cl59, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 (((c_Union @ X1 @ (tc_set @ X0))
% 0.52/0.70 = (c_Zorn_Osucc @ X2 @ (c_Union @ X1 @ (tc_set @ X0)) @ X0))
% 0.52/0.70 | ~ (c_in @
% 0.52/0.70 (c_Zorn_Osucc @ X2 @ (c_Union @ X1 @ (tc_set @ X0)) @ X0) @
% 0.52/0.70 X1 @ (tc_set @ (tc_set @ X0))))),
% 0.52/0.70 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 0.52/0.70 thf(zip_derived_cl75, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @
% 0.52/0.70 (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.52/0.70 | ((c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))
% 0.52/0.70 = (c_Zorn_Osucc @ X1 @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @ X0)))),
% 0.52/0.70 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl59])).
% 0.52/0.70 thf(zip_derived_cl49, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (c_in @ (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @
% 0.52/0.70 (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ (tc_set @ X0)))),
% 0.52/0.70 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 0.52/0.70 thf(zip_derived_cl76, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 ((c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))
% 0.52/0.70 = (c_Zorn_Osucc @ X1 @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @ X0))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl49])).
% 0.52/0.70 thf(zip_derived_cl7, plain,
% 0.52/0.70 ( (c_in @ v_m @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 0.52/0.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.52/0.70 thf(zip_derived_cl6, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.52/0.70 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.52/0.70 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.52/0.70 | ((X0) != (c_Zorn_Osucc @ X1 @ X0 @ X2))
% 0.52/0.70 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2))))),
% 0.52/0.70 inference('cnf', [status(esa)], [cls_Zorn_Oeq__succ__upper_0])).
% 0.52/0.70 thf(zip_derived_cl51, plain,
% 0.52/0.70 (![X0 : $i]:
% 0.52/0.70 ( (c_lessequals @ v_m @ X0 @ (tc_set @ (tc_set @ t_a)))
% 0.52/0.70 | ((X0) != (c_Zorn_Osucc @ v_S @ X0 @ t_a))
% 0.52/0.70 | ~ (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 0.52/0.70 (tc_set @ (tc_set @ t_a))))),
% 0.52/0.70 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 0.52/0.70 thf(zip_derived_cl82, plain,
% 0.52/0.70 ((((c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a))
% 0.52/0.70 != (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))
% 0.52/0.70 | ~ (c_in @ (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 0.52/0.70 (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 0.52/0.70 | (c_lessequals @ v_m @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 0.52/0.70 (tc_set @ (tc_set @ t_a))))),
% 0.52/0.70 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl51])).
% 0.52/0.70 thf(zip_derived_cl49, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 (c_in @ (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @
% 0.52/0.70 (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ (tc_set @ X0)))),
% 0.52/0.70 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 0.52/0.70 thf(zip_derived_cl86, plain,
% 0.52/0.70 ((((c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a))
% 0.52/0.70 != (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))
% 0.52/0.70 | (c_lessequals @ v_m @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 0.52/0.70 (tc_set @ (tc_set @ t_a))))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl49])).
% 0.52/0.70 thf(zip_derived_cl87, plain,
% 0.52/0.70 ( (c_lessequals @ v_m @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @
% 0.52/0.70 (tc_set @ (tc_set @ t_a)))),
% 0.52/0.70 inference('simplify', [status(thm)], [zip_derived_cl86])).
% 0.52/0.70 thf(zip_derived_cl1, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.70 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.52/0.70 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ X2))
% 0.52/0.70 | ((X1) = (X0)))),
% 0.52/0.70 inference('cnf', [status(esa)], [cls_Set_Osubset__antisym_0])).
% 0.52/0.70 thf(zip_derived_cl88, plain,
% 0.52/0.70 ((((c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) = (v_m))
% 0.52/0.70 | ~ (c_lessequals @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @ v_m @
% 0.52/0.70 (tc_set @ (tc_set @ t_a))))),
% 0.52/0.70 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl1])).
% 0.52/0.70 thf(zip_derived_cl95, plain,
% 0.52/0.70 (((v_m) = (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))),
% 0.52/0.70 inference('clc', [status(thm)], [zip_derived_cl94, zip_derived_cl88])).
% 0.52/0.70 thf(zip_derived_cl76, plain,
% 0.52/0.70 (![X0 : $i, X1 : $i]:
% 0.52/0.70 ((c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))
% 0.52/0.70 = (c_Zorn_Osucc @ X1 @
% 0.52/0.70 (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @ X0))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl49])).
% 0.52/0.70 thf(zip_derived_cl104, plain,
% 0.52/0.70 (((c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a))
% 0.52/0.70 = (c_Zorn_Osucc @ v_S @ v_m @ t_a))),
% 0.52/0.70 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl76])).
% 0.52/0.70 thf(zip_derived_cl95, plain,
% 0.52/0.70 (((v_m) = (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))),
% 0.52/0.70 inference('clc', [status(thm)], [zip_derived_cl94, zip_derived_cl88])).
% 0.52/0.70 thf(zip_derived_cl108, plain, (((v_m) = (c_Zorn_Osucc @ v_S @ v_m @ t_a))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl95])).
% 0.52/0.70 thf(cls_conjecture_1, conjecture,
% 0.52/0.70 (~( ( ( v_m ) != ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) ) |
% 0.52/0.70 ( ( v_m ) !=
% 0.52/0.70 ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) ) ))).
% 0.52/0.70 thf(zf_stmt_2, negated_conjecture,
% 0.52/0.70 (( ( v_m ) != ( c_Zorn_Osucc @ v_S @ v_m @ t_a ) ) |
% 0.52/0.70 ( ( v_m ) != ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) )),
% 0.52/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.52/0.70 thf(zip_derived_cl8, plain,
% 0.52/0.70 ((((v_m) != (c_Zorn_Osucc @ v_S @ v_m @ t_a))
% 0.52/0.70 | ((v_m) != (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a))))),
% 0.52/0.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.52/0.70 thf(zip_derived_cl95, plain,
% 0.52/0.70 (((v_m) = (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))),
% 0.52/0.70 inference('clc', [status(thm)], [zip_derived_cl94, zip_derived_cl88])).
% 0.52/0.70 thf(zip_derived_cl96, plain,
% 0.52/0.70 ((((v_m) != (c_Zorn_Osucc @ v_S @ v_m @ t_a)) | ((v_m) != (v_m)))),
% 0.52/0.70 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl95])).
% 0.52/0.70 thf(zip_derived_cl97, plain, (((v_m) != (c_Zorn_Osucc @ v_S @ v_m @ t_a))),
% 0.52/0.70 inference('simplify', [status(thm)], [zip_derived_cl96])).
% 0.52/0.70 thf(zip_derived_cl109, plain, ($false),
% 0.52/0.70 inference('simplify_reflect-', [status(thm)],
% 0.52/0.70 [zip_derived_cl108, zip_derived_cl97])).
% 0.52/0.70
% 0.52/0.70 % SZS output end Refutation
% 0.52/0.70
% 0.52/0.70
% 0.52/0.70 % Terminating...
% 0.58/0.79 % Runner terminated.
% 0.58/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------