TSTP Solution File: SET857-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET857-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BCnCrVgO7K true
% Computer : n031.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 Aug 31 16:16:28 EDT 2023
% Result : Unsatisfiable 1.24s 1.02s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET857-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BCnCrVgO7K true
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 14:00:08 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % 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
% 0.77/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.77/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.77/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.77/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.77/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.77/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.24/1.02 % Solved by fo/fo3_bce.sh.
% 1.24/1.02 % BCE start: 14
% 1.24/1.02 % BCE eliminated: 0
% 1.24/1.02 % PE start: 14
% 1.24/1.02 logic: eq
% 1.24/1.02 % PE eliminated: 0
% 1.24/1.02 % done 141 iterations in 0.265s
% 1.24/1.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.24/1.02 % SZS output start Refutation
% 1.24/1.02 thf(c_Zorn_OTFin_type, type, c_Zorn_OTFin: $i > $i > $i).
% 1.24/1.02 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 1.24/1.02 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 1.24/1.02 thf(v_x_type, type, v_x: $i).
% 1.24/1.02 thf(v_S_type, type, v_S: $i).
% 1.24/1.02 thf(c_Zorn_OTFin__linear__lemma1__1_type, type, c_Zorn_OTFin__linear__lemma1__1:
% 1.24/1.02 $i > $i > $i > $i).
% 1.24/1.02 thf(v_n_type, type, v_n: $i).
% 1.24/1.02 thf(v_Y_type, type, v_Y: $i).
% 1.24/1.02 thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 1.24/1.02 thf(tc_set_type, type, tc_set: $i > $i).
% 1.24/1.02 thf(t_a_type, type, t_a: $i).
% 1.24/1.02 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 1.24/1.02 thf(cls_conjecture_3, conjecture,
% 1.24/1.02 (~( c_in @ v_x @ v_Y @ ( tc_set @ ( tc_set @ t_a ) ) ))).
% 1.24/1.02 thf(zf_stmt_0, negated_conjecture,
% 1.24/1.02 (c_in @ v_x @ v_Y @ ( tc_set @ ( tc_set @ t_a ) )),
% 1.24/1.02 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 1.24/1.02 thf(zip_derived_cl10, plain,
% 1.24/1.02 ( (c_in @ v_x @ v_Y @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/1.02 thf(cls_conjecture_5, conjecture,
% 1.24/1.02 (c_lessequals @
% 1.24/1.02 ( c_Zorn_Osucc @ v_S @ v_n @ t_a ) @ v_x @ ( tc_set @ ( tc_set @ t_a ) ))).
% 1.24/1.02 thf(zf_stmt_1, negated_conjecture,
% 1.24/1.02 (~( c_lessequals @
% 1.24/1.02 ( c_Zorn_Osucc @ v_S @ v_n @ t_a ) @ v_x @
% 1.24/1.02 ( tc_set @ ( tc_set @ t_a ) ) )),
% 1.24/1.02 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 1.24/1.02 thf(zip_derived_cl12, plain,
% 1.24/1.02 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_n @ t_a) @ v_x @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/1.02 thf(cls_conjecture_6, conjecture,
% 1.24/1.02 (~( ( ~( c_in @ V_U @ v_Y @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.24/1.02 ( ~( c_in @
% 1.24/1.02 V_V @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.24/1.02 ( ~( c_lessequals @ V_V @ V_U @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.24/1.02 ( ( V_V ) = ( V_U ) ) |
% 1.24/1.02 ( c_lessequals @
% 1.24/1.02 ( c_Zorn_Osucc @ v_S @ V_V @ t_a ) @ V_U @
% 1.24/1.02 ( tc_set @ ( tc_set @ t_a ) ) ) ))).
% 1.24/1.02 thf(zf_stmt_2, negated_conjecture,
% 1.24/1.02 (( ~( c_in @ V_U @ v_Y @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.24/1.02 ( ~( c_in @
% 1.24/1.02 V_V @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.24/1.02 ( ~( c_lessequals @ V_V @ V_U @ ( tc_set @ ( tc_set @ t_a ) ) ) ) |
% 1.24/1.02 ( ( V_V ) = ( V_U ) ) |
% 1.24/1.02 ( c_lessequals @
% 1.24/1.02 ( c_Zorn_Osucc @ v_S @ V_V @ t_a ) @ V_U @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 1.24/1.02 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 1.24/1.02 thf(zip_derived_cl13, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ((X1) = (X0))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X1 @ t_a) @ X0 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.24/1.02 thf(zip_derived_cl106, plain,
% 1.24/1.02 ((((v_n) = (v_x))
% 1.24/1.02 | ~ (c_lessequals @ v_n @ v_x @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ v_n @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ v_x @ v_Y @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl13])).
% 1.24/1.02 thf(cls_conjecture_1, conjecture,
% 1.24/1.02 (~( c_in @
% 1.24/1.02 v_n @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ))).
% 1.24/1.02 thf(zf_stmt_3, negated_conjecture,
% 1.24/1.02 (c_in @ v_n @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) )),
% 1.24/1.02 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 1.24/1.02 thf(zip_derived_cl9, plain,
% 1.24/1.02 ( (c_in @ v_n @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.24/1.02 thf(zip_derived_cl10, plain,
% 1.24/1.02 ( (c_in @ v_x @ v_Y @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/1.02 thf(zip_derived_cl107, plain,
% 1.24/1.02 ((((v_n) = (v_x))
% 1.24/1.02 | ~ (c_lessequals @ v_n @ v_x @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('demod', [status(thm)],
% 1.24/1.02 [zip_derived_cl106, zip_derived_cl9, zip_derived_cl10])).
% 1.24/1.02 thf(zip_derived_cl10, plain,
% 1.24/1.02 ( (c_in @ v_x @ v_Y @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/1.02 thf(cls_Set_OsubsetI_1, axiom,
% 1.24/1.02 (( ~( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a ) ) |
% 1.24/1.02 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 1.24/1.02 thf(zip_derived_cl2, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.02 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 1.24/1.02 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 1.24/1.02 thf(cls_Set_OsubsetI_0, axiom,
% 1.24/1.02 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 1.24/1.02 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 1.24/1.02 thf(zip_derived_cl1, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.02 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 1.24/1.02 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 1.24/1.02 thf(zip_derived_cl9, plain,
% 1.24/1.02 ( (c_in @ v_n @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.24/1.02 thf(zip_derived_cl13, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ((X1) = (X0))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X1 @ t_a) @ X0 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.24/1.02 thf(cls_Zorn_OTFin__linear__lemma1_3, axiom,
% 1.24/1.02 (( ~( c_in @
% 1.24/1.02 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.24/1.02 ( ~( c_in @
% 1.24/1.02 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.24/1.02 ( ~( c_lessequals @
% 1.24/1.02 ( c_Zorn_Osucc @
% 1.24/1.02 V_S @ ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) @ T_a ) @
% 1.24/1.02 V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.24/1.02 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 1.24/1.02 ( c_lessequals @
% 1.24/1.02 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 1.24/1.02 thf(zip_derived_cl7, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | ~ (c_lessequals @
% 1.24/1.02 (c_Zorn_Osucc @ X1 @
% 1.24/1.02 (c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) @ X2) @
% 1.24/1.02 X0 @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 1.24/1.02 (tc_set @ (tc_set @ X2))))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_3])).
% 1.24/1.02 thf(zip_derived_cl135, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (((c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) = (X0))
% 1.24/1.02 | ~ (c_lessequals @
% 1.24/1.02 (c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) @ X0 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) @
% 1.24/1.02 (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ X1 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl7])).
% 1.24/1.02 thf(cls_Zorn_OTFin__linear__lemma1_2, axiom,
% 1.24/1.02 (( ~( c_in @
% 1.24/1.02 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.24/1.02 ( ~( c_in @
% 1.24/1.02 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.24/1.02 ( ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) != ( V_m ) ) |
% 1.24/1.02 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 1.24/1.02 ( c_lessequals @
% 1.24/1.02 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 1.24/1.02 thf(zip_derived_cl6, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | ((c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) != (X0))
% 1.24/1.02 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 1.24/1.02 (tc_set @ (tc_set @ X2))))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_2])).
% 1.24/1.02 thf(zip_derived_cl353, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ X1 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) @
% 1.24/1.02 (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_lessequals @
% 1.24/1.02 (c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) @ X0 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('clc', [status(thm)], [zip_derived_cl135, zip_derived_cl6])).
% 1.24/1.02 thf(cls_conjecture_0, conjecture,
% 1.24/1.02 (~( c_lessequals @
% 1.24/1.02 v_Y @ ( c_Zorn_OTFin @ v_S @ t_a ) @
% 1.24/1.02 ( tc_set @ ( tc_set @ ( tc_set @ t_a ) ) ) ))).
% 1.24/1.02 thf(zf_stmt_4, negated_conjecture,
% 1.24/1.02 (c_lessequals @
% 1.24/1.02 v_Y @ ( c_Zorn_OTFin @ v_S @ t_a ) @
% 1.24/1.02 ( tc_set @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 1.24/1.02 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 1.24/1.02 thf(zip_derived_cl8, plain,
% 1.24/1.02 ( (c_lessequals @ v_Y @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.24/1.02 thf(cls_Set_OsubsetD_0, axiom,
% 1.24/1.02 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 1.24/1.02 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 1.24/1.02 ( c_in @ V_c @ V_B @ T_a ))).
% 1.24/1.02 thf(zip_derived_cl0, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ X1 @ X2)
% 1.24/1.02 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 1.24/1.02 | (c_in @ X0 @ X3 @ X2))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 1.24/1.02 thf(zip_derived_cl86, plain,
% 1.24/1.02 (![X0 : $i]:
% 1.24/1.02 ( (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 1.24/1.02 thf(zip_derived_cl354, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_lessequals @
% 1.24/1.02 (c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) @ X0 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) @
% 1.24/1.02 (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ X1 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('clc', [status(thm)], [zip_derived_cl353, zip_derived_cl86])).
% 1.24/1.02 thf(zip_derived_cl86, plain,
% 1.24/1.02 (![X0 : $i]:
% 1.24/1.02 ( (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 1.24/1.02 thf(cls_Zorn_OTFin__linear__lemma1_1, axiom,
% 1.24/1.02 (( ~( c_in @
% 1.24/1.02 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.24/1.02 ( ~( c_in @
% 1.24/1.02 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.24/1.02 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 1.24/1.02 ( c_lessequals @
% 1.24/1.02 ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) @ V_m @
% 1.24/1.02 ( tc_set @ ( tc_set @ T_a ) ) ) |
% 1.24/1.02 ( c_lessequals @
% 1.24/1.02 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 1.24/1.02 thf(zip_derived_cl5, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | (c_lessequals @
% 1.24/1.02 (c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) @ X0 @
% 1.24/1.02 (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 1.24/1.02 (tc_set @ (tc_set @ X2))))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_1])).
% 1.24/1.02 thf(zip_derived_cl123, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ X1 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @
% 1.24/1.02 (c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) @ X0 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl5])).
% 1.24/1.02 thf(zip_derived_cl355, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ X1 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) @
% 1.24/1.02 (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('clc', [status(thm)], [zip_derived_cl354, zip_derived_cl123])).
% 1.24/1.02 thf(zip_derived_cl86, plain,
% 1.24/1.02 (![X0 : $i]:
% 1.24/1.02 ( (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 1.24/1.02 thf(cls_Zorn_OTFin__linear__lemma1_0, axiom,
% 1.24/1.02 (( ~( c_in @
% 1.24/1.02 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.24/1.02 ( ~( c_in @
% 1.24/1.02 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 1.24/1.02 ( c_in @
% 1.24/1.02 ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) @
% 1.24/1.02 ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 1.24/1.02 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 1.24/1.02 ( c_lessequals @
% 1.24/1.02 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 1.24/1.02 thf(zip_derived_cl4, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) @
% 1.24/1.02 (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 1.24/1.02 (tc_set @ (tc_set @ X2))))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_0])).
% 1.24/1.02 thf(zip_derived_cl99, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ X1 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ v_S @ X0 @ t_a) @
% 1.24/1.02 (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl4])).
% 1.24/1.02 thf(zip_derived_cl356, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ X1 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('clc', [status(thm)], [zip_derived_cl355, zip_derived_cl99])).
% 1.24/1.02 thf(zip_derived_cl365, plain,
% 1.24/1.02 (![X0 : $i]:
% 1.24/1.02 ( (c_lessequals @ v_n @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ v_n @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl356])).
% 1.24/1.02 thf(zip_derived_cl0, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ X1 @ X2)
% 1.24/1.02 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 1.24/1.02 | (c_in @ X0 @ X3 @ X2))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 1.24/1.02 thf(zip_derived_cl366, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ v_n @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_in @ X1 @ v_n @ (tc_set @ t_a))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ (tc_set @ t_a)))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl365, zip_derived_cl0])).
% 1.24/1.02 thf(cls_Zorn_OAbrial__axiom1_0, axiom,
% 1.24/1.02 (c_lessequals @
% 1.24/1.02 V_x @ ( c_Zorn_Osucc @ V_S @ V_x @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ))).
% 1.24/1.02 thf(zip_derived_cl3, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.02 (c_lessequals @ X0 @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @
% 1.24/1.02 (tc_set @ (tc_set @ X2)))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Zorn_OAbrial__axiom1_0])).
% 1.24/1.02 thf(zip_derived_cl0, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ X1 @ X2)
% 1.24/1.02 | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 1.24/1.02 | (c_in @ X0 @ X3 @ X2))),
% 1.24/1.02 inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 1.24/1.02 thf(zip_derived_cl87, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.02 ( (c_in @ X3 @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ (tc_set @ X0))
% 1.24/1.02 | ~ (c_in @ X3 @ X1 @ (tc_set @ X0)))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.24/1.02 thf(zip_derived_cl370, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 ( (c_in @ X1 @ v_n @ (tc_set @ t_a))
% 1.24/1.02 | (c_lessequals @ v_n @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ X0 @ (tc_set @ t_a)))),
% 1.24/1.02 inference('sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl87])).
% 1.24/1.02 thf(zip_derived_cl383, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 ( (c_lessequals @ X0 @ X1 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ v_n @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ (tc_set @ t_a)) @ v_n @
% 1.24/1.02 (tc_set @ t_a)))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl370])).
% 1.24/1.02 thf(zip_derived_cl480, plain,
% 1.24/1.02 (![X0 : $i]:
% 1.24/1.02 ( (c_lessequals @ X0 @ v_n @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ v_n @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X0 @ v_n @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl383])).
% 1.24/1.02 thf(zip_derived_cl482, plain,
% 1.24/1.02 (![X0 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ v_n @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X0 @ v_n @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('simplify', [status(thm)], [zip_derived_cl480])).
% 1.24/1.02 thf(zip_derived_cl490, plain,
% 1.24/1.02 (( (c_lessequals @ v_x @ v_n @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ v_n @ v_x @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl482])).
% 1.24/1.02 thf(cls_conjecture_4, conjecture,
% 1.24/1.02 (c_lessequals @ v_x @ v_n @ ( tc_set @ ( tc_set @ t_a ) ))).
% 1.24/1.02 thf(zf_stmt_5, negated_conjecture,
% 1.24/1.02 (~( c_lessequals @ v_x @ v_n @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 1.24/1.02 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 1.24/1.02 thf(zip_derived_cl11, plain,
% 1.24/1.02 (~ (c_lessequals @ v_x @ v_n @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.24/1.02 thf(zip_derived_cl491, plain,
% 1.24/1.02 ( (c_lessequals @ v_n @ v_x @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('clc', [status(thm)], [zip_derived_cl490, zip_derived_cl11])).
% 1.24/1.02 thf(zip_derived_cl492, plain, (((v_n) = (v_x))),
% 1.24/1.02 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl491])).
% 1.24/1.02 thf(zip_derived_cl10, plain,
% 1.24/1.02 ( (c_in @ v_x @ v_Y @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/1.02 thf(zip_derived_cl86, plain,
% 1.24/1.02 (![X0 : $i]:
% 1.24/1.02 ( (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 1.24/1.02 thf(zip_derived_cl356, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ X1 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X1 @ X0 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ v_S @ t_a) @
% 1.24/1.02 (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('clc', [status(thm)], [zip_derived_cl355, zip_derived_cl99])).
% 1.24/1.02 thf(zip_derived_cl357, plain,
% 1.24/1.02 (![X0 : $i, X1 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ X0 @ X1 @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X1 @ t_a) @ X0 @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ X1 @ v_Y @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl356])).
% 1.24/1.02 thf(zip_derived_cl408, plain,
% 1.24/1.02 (![X0 : $i]:
% 1.24/1.02 (~ (c_in @ X0 @ v_Y @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ X0 @ t_a) @ v_x @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | (c_lessequals @ v_x @ X0 @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl357])).
% 1.24/1.02 thf(zip_derived_cl12, plain,
% 1.24/1.02 (~ (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_n @ t_a) @ v_x @
% 1.24/1.02 (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/1.02 thf(zip_derived_cl412, plain,
% 1.24/1.02 (( (c_lessequals @ v_x @ v_n @ (tc_set @ (tc_set @ t_a)))
% 1.24/1.02 | ~ (c_in @ v_n @ v_Y @ (tc_set @ (tc_set @ t_a))))),
% 1.24/1.02 inference('sup-', [status(thm)], [zip_derived_cl408, zip_derived_cl12])).
% 1.24/1.02 thf(zip_derived_cl11, plain,
% 1.24/1.02 (~ (c_lessequals @ v_x @ v_n @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.24/1.02 thf(zip_derived_cl417, plain,
% 1.24/1.02 (~ (c_in @ v_n @ v_Y @ (tc_set @ (tc_set @ t_a)))),
% 1.24/1.02 inference('clc', [status(thm)], [zip_derived_cl412, zip_derived_cl11])).
% 1.24/1.02 thf(zip_derived_cl498, plain, ($false),
% 1.24/1.02 inference('demod', [status(thm)],
% 1.24/1.02 [zip_derived_cl10, zip_derived_cl492, zip_derived_cl417])).
% 1.24/1.02
% 1.24/1.02 % SZS output end Refutation
% 1.24/1.02
% 1.24/1.02
% 1.24/1.02 % Terminating...
% 1.63/1.19 % Runner terminated.
% 1.63/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------