TSTP Solution File: SET858-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET858-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GL9qoe4NVv true
% Computer : n006.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 0.57s 1.11s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET858-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GL9qoe4NVv true
% 0.13/0.34 % Computer : n006.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 : Sat Aug 26 10:07:52 EDT 2023
% 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
% 0.13/0.36 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.92 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.57/1.11 % Solved by fo/fo3_bce.sh.
% 0.57/1.11 % BCE start: 133
% 0.57/1.11 % BCE eliminated: 72
% 0.57/1.11 % PE start: 61
% 0.57/1.11 logic: eq
% 0.57/1.11 % PE eliminated: 0
% 0.57/1.11 % done 339 iterations in 0.366s
% 0.57/1.11 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/1.11 % SZS output start Refutation
% 0.57/1.11 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.57/1.11 thf(v_n_type, type, v_n: $i).
% 0.57/1.11 thf(v_m_type, type, v_m: $i).
% 0.57/1.11 thf(tc_set_type, type, tc_set: $i > $i).
% 0.57/1.11 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.57/1.11 thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 0.57/1.11 thf(t_a_type, type, t_a: $i).
% 0.57/1.11 thf(v_S_type, type, v_S: $i).
% 0.57/1.11 thf(c_Zorn_OTFin__linear__lemma1__1_type, type, c_Zorn_OTFin__linear__lemma1__1:
% 0.57/1.11 $i > $i > $i > $i).
% 0.57/1.11 thf(c_Zorn_OTFin_type, type, c_Zorn_OTFin: $i > $i > $i).
% 0.57/1.11 thf(cls_conjecture_3, conjecture,
% 0.57/1.11 (c_lessequals @ v_m @ v_n @ ( tc_set @ ( tc_set @ t_a ) ))).
% 0.57/1.11 thf(zf_stmt_0, negated_conjecture,
% 0.57/1.11 (~( c_lessequals @ v_m @ v_n @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 0.57/1.11 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.57/1.11 thf(zip_derived_cl129, plain,
% 0.57/1.11 (~ (c_lessequals @ v_m @ v_n @ (tc_set @ (tc_set @ t_a)))),
% 0.57/1.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/1.11 thf(cls_conjecture_1, conjecture,
% 0.57/1.11 (~( c_in @
% 0.57/1.11 v_n @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ))).
% 0.57/1.11 thf(zf_stmt_1, negated_conjecture,
% 0.57/1.11 (c_in @ v_n @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) )),
% 0.57/1.11 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.57/1.11 thf(zip_derived_cl131, plain,
% 0.57/1.11 ( (c_in @ v_n @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 0.57/1.11 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/1.11 thf(cls_conjecture_0, conjecture,
% 0.57/1.11 (~( c_in @
% 0.57/1.11 v_m @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ))).
% 0.57/1.11 thf(zf_stmt_2, negated_conjecture,
% 0.57/1.11 (c_in @ v_m @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) )),
% 0.57/1.11 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.57/1.11 thf(zip_derived_cl132, plain,
% 0.57/1.11 ( (c_in @ v_m @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 0.57/1.11 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.11 thf(cls_Zorn_OTFin__linear__lemma2_0, axiom,
% 0.57/1.11 (( ~( c_in @
% 0.57/1.11 V_U @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( ~( c_in @
% 0.57/1.11 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( ~( c_lessequals @ V_U @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( c_lessequals @
% 0.57/1.11 ( c_Zorn_Osucc @ V_S @ V_U @ T_a ) @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/1.11 ( ( V_U ) = ( V_m ) ))).
% 0.57/1.11 thf(zip_derived_cl128, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | ~ (c_lessequals @ X0 @ X3 @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | ((X0) = (X3)))),
% 0.57/1.11 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma2_0])).
% 0.57/1.11 thf(cls_Zorn_OTFin__linear__lemma1_3, axiom,
% 0.57/1.11 (( ~( c_in @
% 0.57/1.11 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( ~( c_in @
% 0.57/1.11 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( ~( c_lessequals @
% 0.57/1.11 ( c_Zorn_Osucc @
% 0.57/1.11 V_S @ ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) @ T_a ) @
% 0.57/1.11 V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/1.11 ( c_lessequals @
% 0.57/1.11 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.57/1.11 thf(zip_derived_cl127, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | ~ (c_lessequals @
% 0.57/1.11 (c_Zorn_Osucc @ X1 @
% 0.57/1.11 (c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) @ X2) @
% 0.57/1.11 X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X2))))),
% 0.57/1.11 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_3])).
% 0.57/1.11 thf(zip_derived_cl482, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (((c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) = (X1))
% 0.57/1.11 | ~ (c_lessequals @
% 0.57/1.11 (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @ X1 @
% 0.57/1.11 (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @
% 0.57/1.11 (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0))))),
% 0.57/1.11 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl127])).
% 0.57/1.11 thf(zip_derived_cl484, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @
% 0.57/1.11 (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_lessequals @
% 0.57/1.11 (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @ X1 @
% 0.57/1.11 (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ((c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) = (X1)))),
% 0.57/1.11 inference('simplify', [status(thm)], [zip_derived_cl482])).
% 0.57/1.11 thf(cls_Zorn_OTFin__linear__lemma1_0, axiom,
% 0.57/1.11 (( ~( c_in @
% 0.57/1.11 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( ~( c_in @
% 0.57/1.11 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( c_in @
% 0.57/1.11 ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) @
% 0.57/1.11 ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/1.11 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/1.11 ( c_lessequals @
% 0.57/1.11 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.57/1.11 thf(zip_derived_cl124, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) @
% 0.57/1.11 (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X2))))),
% 0.57/1.11 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_0])).
% 0.57/1.11 thf(zip_derived_cl1292, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (((c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) = (X1))
% 0.57/1.11 | ~ (c_lessequals @
% 0.57/1.11 (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @ X1 @
% 0.57/1.11 (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0))))),
% 0.57/1.11 inference('clc', [status(thm)], [zip_derived_cl484, zip_derived_cl124])).
% 0.57/1.11 thf(cls_Zorn_OTFin__linear__lemma1_2, axiom,
% 0.57/1.11 (( ~( c_in @
% 0.57/1.11 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( ~( c_in @
% 0.57/1.11 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) != ( V_m ) ) |
% 0.57/1.11 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/1.11 ( c_lessequals @
% 0.57/1.11 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.57/1.11 thf(zip_derived_cl126, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | ((c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) != (X0))
% 0.57/1.11 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X2))))),
% 0.57/1.11 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_2])).
% 0.57/1.11 thf(zip_derived_cl1293, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_lessequals @
% 0.57/1.11 (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @ X1 @
% 0.57/1.11 (tc_set @ (tc_set @ X0))))),
% 0.57/1.11 inference('clc', [status(thm)], [zip_derived_cl1292, zip_derived_cl126])).
% 0.57/1.11 thf(cls_Zorn_OTFin__linear__lemma1_1, axiom,
% 0.57/1.11 (( ~( c_in @
% 0.57/1.11 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( ~( c_in @
% 0.57/1.11 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/1.11 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/1.11 ( c_lessequals @
% 0.57/1.11 ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) @ V_m @
% 0.57/1.11 ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/1.11 ( c_lessequals @
% 0.57/1.11 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.57/1.11 thf(zip_derived_cl125, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_lessequals @
% 0.57/1.11 (c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) @ X0 @
% 0.57/1.11 (tc_set @ (tc_set @ X2)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X2))))),
% 0.57/1.11 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_1])).
% 0.57/1.11 thf(zip_derived_cl1294, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/1.11 (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/1.11 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0))))),
% 0.57/1.11 inference('clc', [status(thm)], [zip_derived_cl1293, zip_derived_cl125])).
% 0.57/1.11 thf(zip_derived_cl1298, plain,
% 0.57/1.11 (![X0 : $i]:
% 0.57/1.11 (~ (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 0.57/1.11 | (c_lessequals @ X0 @ v_m @ (tc_set @ (tc_set @ t_a)))
% 0.57/1.11 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ X0 @
% 0.57/1.11 (tc_set @ (tc_set @ t_a))))),
% 0.57/1.11 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl1294])).
% 0.57/1.11 thf(zip_derived_cl1304, plain,
% 0.57/1.11 (( (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ v_n @
% 0.57/1.11 (tc_set @ (tc_set @ t_a)))
% 0.57/1.11 | (c_lessequals @ v_n @ v_m @ (tc_set @ (tc_set @ t_a))))),
% 0.57/1.11 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl1298])).
% 0.57/1.11 thf(cls_conjecture_2, conjecture,
% 0.57/1.11 (c_lessequals @ v_n @ v_m @ ( tc_set @ ( tc_set @ t_a ) ))).
% 0.57/1.11 thf(zf_stmt_3, negated_conjecture,
% 0.57/1.11 (~( c_lessequals @ v_n @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 0.57/1.11 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.57/1.11 thf(zip_derived_cl130, plain,
% 0.57/1.11 (~ (c_lessequals @ v_n @ v_m @ (tc_set @ (tc_set @ t_a)))),
% 0.57/1.11 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/1.11 thf(zip_derived_cl1306, plain,
% 0.57/1.11 ( (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ v_n @
% 0.57/1.11 (tc_set @ (tc_set @ t_a)))),
% 0.57/1.11 inference('demod', [status(thm)], [zip_derived_cl1304, zip_derived_cl130])).
% 0.57/1.11 thf(cls_Set_Osubset__trans_0, axiom,
% 0.57/1.11 (( ~( c_lessequals @ V_B @ V_C @ ( tc_set @ T_a ) ) ) |
% 0.57/1.11 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.57/1.11 ( c_lessequals @ V_A @ V_C @ ( tc_set @ T_a ) ))).
% 0.57/1.11 thf(zip_derived_cl122, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/1.11 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.57/1.11 | ~ (c_lessequals @ X3 @ X0 @ (tc_set @ X2))
% 0.57/1.11 | (c_lessequals @ X3 @ X1 @ (tc_set @ X2)))),
% 0.57/1.11 inference('cnf', [status(esa)], [cls_Set_Osubset__trans_0])).
% 0.57/1.11 thf(zip_derived_cl1310, plain,
% 0.57/1.11 (![X0 : $i]:
% 0.57/1.11 ( (c_lessequals @ X0 @ v_n @ (tc_set @ (tc_set @ t_a)))
% 0.57/1.11 | ~ (c_lessequals @ X0 @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.57/1.11 (tc_set @ (tc_set @ t_a))))),
% 0.57/1.11 inference('sup-', [status(thm)], [zip_derived_cl1306, zip_derived_cl122])).
% 0.57/1.11 thf(cls_Zorn_OAbrial__axiom1_0, axiom,
% 0.57/1.11 (c_lessequals @
% 0.57/1.11 V_x @ ( c_Zorn_Osucc @ V_S @ V_x @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ))).
% 0.57/1.11 thf(zip_derived_cl123, plain,
% 0.57/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.11 (c_lessequals @ X0 @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @
% 0.57/1.11 (tc_set @ (tc_set @ X2)))),
% 0.57/1.11 inference('cnf', [status(esa)], [cls_Zorn_OAbrial__axiom1_0])).
% 0.57/1.11 thf(zip_derived_cl1344, plain,
% 0.57/1.11 ( (c_lessequals @ v_m @ v_n @ (tc_set @ (tc_set @ t_a)))),
% 0.57/1.11 inference('sup+', [status(thm)], [zip_derived_cl1310, zip_derived_cl123])).
% 0.57/1.11 thf(zip_derived_cl1354, plain, ($false),
% 0.57/1.11 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl1344])).
% 0.57/1.11
% 0.57/1.11 % SZS output end Refutation
% 0.57/1.11
% 0.57/1.11
% 0.57/1.11 % Terminating...
% 1.81/1.18 % Runner terminated.
% 1.81/1.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------