%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET858-2 : 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.GyHf2kuZRO true
% Computer : n007.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 04:53:02 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.90s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET858-2 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GyHf2kuZRO true
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 13:19:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.90 % Solved by fo/fo3_bce.sh.
% 0.57/0.90 % BCE start: 11
% 0.57/0.90 % BCE eliminated: 0
% 0.57/0.90 % PE start: 11
% 0.57/0.90 logic: eq
% 0.57/0.90 % PE eliminated: 0
% 0.57/0.90 % done 53 iterations in 0.115s
% 0.57/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.90 % SZS output start Refutation
% 0.57/0.90 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.57/0.90 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.57/0.90 thf(c_Zorn_OTFin__linear__lemma1__1_type, type, c_Zorn_OTFin__linear__lemma1__1:
% 0.57/0.90 $i > $i > $i > $i).
% 0.57/0.90 thf(v_m_type, type, v_m: $i).
% 0.57/0.90 thf(v_n_type, type, v_n: $i).
% 0.57/0.90 thf(c_Zorn_OTFin_type, type, c_Zorn_OTFin: $i > $i > $i).
% 0.57/0.90 thf(tc_set_type, type, tc_set: $i > $i).
% 0.57/0.90 thf(v_S_type, type, v_S: $i).
% 0.57/0.90 thf(t_a_type, type, t_a: $i).
% 0.57/0.90 thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 0.57/0.90 thf(cls_conjecture_3, conjecture,
% 0.57/0.90 (c_lessequals @ v_m @ v_n @ ( tc_set @ ( tc_set @ t_a ) ))).
% 0.57/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.90 (~( c_lessequals @ v_m @ v_n @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 0.57/0.90 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.57/0.90 thf(zip_derived_cl3, plain,
% 0.57/0.90 (~ (c_lessequals @ v_m @ v_n @ (tc_set @ (tc_set @ t_a)))),
% 0.57/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.90 thf(cls_conjecture_1, conjecture,
% 0.57/0.90 (~( c_in @
% 0.57/0.90 v_n @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ))).
% 0.57/0.90 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.90 (c_in @ v_n @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) )),
% 0.57/0.90 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.57/0.90 thf(zip_derived_cl1, plain,
% 0.57/0.90 ( (c_in @ v_n @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 0.57/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.90 thf(cls_conjecture_0, conjecture,
% 0.57/0.90 (~( c_in @
% 0.57/0.90 v_m @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) ) ))).
% 0.57/0.90 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.90 (c_in @ v_m @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ ( tc_set @ t_a ) )),
% 0.57/0.90 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.57/0.90 thf(zip_derived_cl0, plain,
% 0.57/0.90 ( (c_in @ v_m @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))),
% 0.57/0.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.90 thf(cls_Zorn_OTFin__linear__lemma2_0, axiom,
% 0.57/0.90 (( ~( c_in @
% 0.57/0.90 V_U @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( ~( c_in @
% 0.57/0.90 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( ~( c_lessequals @ V_U @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( c_lessequals @
% 0.57/0.90 ( c_Zorn_Osucc @ V_S @ V_U @ T_a ) @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/0.90 ( ( V_U ) = ( V_m ) ))).
% 0.57/0.90 thf(zip_derived_cl10, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | ~ (c_lessequals @ X0 @ X3 @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | ((X0) = (X3)))),
% 0.57/0.90 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma2_0])).
% 0.57/0.90 thf(cls_Zorn_OTFin__linear__lemma1_3, axiom,
% 0.57/0.90 (( ~( c_in @
% 0.57/0.90 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( ~( c_in @
% 0.57/0.90 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( ~( c_lessequals @
% 0.57/0.90 ( c_Zorn_Osucc @
% 0.57/0.90 V_S @ ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) @ T_a ) @
% 0.57/0.90 V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/0.90 ( c_lessequals @
% 0.57/0.90 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.57/0.90 thf(zip_derived_cl9, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | ~ (c_lessequals @
% 0.57/0.90 (c_Zorn_Osucc @ X1 @
% 0.57/0.90 (c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) @ X2) @
% 0.57/0.90 X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X2))))),
% 0.57/0.90 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_3])).
% 0.57/0.90 thf(zip_derived_cl79, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (((c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) = (X1))
% 0.57/0.90 | ~ (c_lessequals @
% 0.57/0.90 (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @ X1 @
% 0.57/0.90 (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @
% 0.57/0.90 (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0))))),
% 0.57/0.90 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 0.57/0.90 thf(zip_derived_cl81, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @
% 0.57/0.90 (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_lessequals @
% 0.57/0.90 (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @ X1 @
% 0.57/0.90 (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ((c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) = (X1)))),
% 0.57/0.90 inference('simplify', [status(thm)], [zip_derived_cl79])).
% 0.57/0.90 thf(cls_Zorn_OTFin__linear__lemma1_0, axiom,
% 0.57/0.90 (( ~( c_in @
% 0.57/0.90 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( ~( c_in @
% 0.57/0.90 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( c_in @
% 0.57/0.90 ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) @
% 0.57/0.90 ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/0.90 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/0.90 ( c_lessequals @
% 0.57/0.90 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.57/0.90 thf(zip_derived_cl6, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_in @ (c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) @
% 0.57/0.90 (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X2))))),
% 0.57/0.90 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_0])).
% 0.57/0.90 thf(zip_derived_cl181, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (((c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) = (X1))
% 0.57/0.90 | ~ (c_lessequals @
% 0.57/0.90 (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @ X1 @
% 0.57/0.90 (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0))))),
% 0.57/0.90 inference('clc', [status(thm)], [zip_derived_cl81, zip_derived_cl6])).
% 0.57/0.90 thf(cls_Zorn_OTFin__linear__lemma1_2, axiom,
% 0.57/0.90 (( ~( c_in @
% 0.57/0.90 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( ~( c_in @
% 0.57/0.90 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) != ( V_m ) ) |
% 0.57/0.90 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/0.90 ( c_lessequals @
% 0.57/0.90 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.57/0.90 thf(zip_derived_cl8, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | ((c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) != (X0))
% 0.57/0.90 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X2))))),
% 0.57/0.90 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_2])).
% 0.57/0.90 thf(zip_derived_cl182, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_lessequals @
% 0.57/0.90 (c_Zorn_OTFin__linear__lemma1__1 @ X2 @ X1 @ X0) @ X1 @
% 0.57/0.90 (tc_set @ (tc_set @ X0))))),
% 0.57/0.90 inference('clc', [status(thm)], [zip_derived_cl181, zip_derived_cl8])).
% 0.57/0.90 thf(cls_Zorn_OTFin__linear__lemma1_1, axiom,
% 0.57/0.90 (( ~( c_in @
% 0.57/0.90 V_m @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( ~( c_in @
% 0.57/0.90 V_n @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) |
% 0.57/0.90 ( c_lessequals @ V_n @ V_m @ ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/0.90 ( c_lessequals @
% 0.57/0.90 ( c_Zorn_OTFin__linear__lemma1__1 @ V_S @ V_m @ T_a ) @ V_m @
% 0.57/0.90 ( tc_set @ ( tc_set @ T_a ) ) ) |
% 0.57/0.90 ( c_lessequals @
% 0.57/0.90 ( c_Zorn_Osucc @ V_S @ V_m @ T_a ) @ V_n @ ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.57/0.90 thf(zip_derived_cl7, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (~ (c_in @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_lessequals @ X3 @ X0 @ (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_lessequals @
% 0.57/0.90 (c_Zorn_OTFin__linear__lemma1__1 @ X1 @ X0 @ X2) @ X0 @
% 0.57/0.90 (tc_set @ (tc_set @ X2)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X2))))),
% 0.57/0.90 inference('cnf', [status(esa)], [cls_Zorn_OTFin__linear__lemma1_1])).
% 0.57/0.90 thf(zip_derived_cl183, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (~ (c_in @ X1 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ X2 @ X1 @ X0) @ X3 @
% 0.57/0.90 (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | (c_lessequals @ X3 @ X1 @ (tc_set @ (tc_set @ X0)))
% 0.57/0.90 | ~ (c_in @ X3 @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ (tc_set @ X0))))),
% 0.57/0.90 inference('clc', [status(thm)], [zip_derived_cl182, zip_derived_cl7])).
% 0.57/0.90 thf(zip_derived_cl184, plain,
% 0.57/0.90 (![X0 : $i]:
% 0.57/0.90 (~ (c_in @ X0 @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ (tc_set @ t_a)))
% 0.57/0.90 | (c_lessequals @ X0 @ v_m @ (tc_set @ (tc_set @ t_a)))
% 0.57/0.90 | (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ X0 @
% 0.57/0.90 (tc_set @ (tc_set @ t_a))))),
% 0.57/0.90 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl183])).
% 0.57/0.90 thf(zip_derived_cl191, plain,
% 0.57/0.90 (( (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ v_n @
% 0.57/0.90 (tc_set @ (tc_set @ t_a)))
% 0.57/0.90 | (c_lessequals @ v_n @ v_m @ (tc_set @ (tc_set @ t_a))))),
% 0.57/0.90 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl184])).
% 0.57/0.90 thf(cls_conjecture_2, conjecture,
% 0.57/0.90 (c_lessequals @ v_n @ v_m @ ( tc_set @ ( tc_set @ t_a ) ))).
% 0.57/0.90 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.90 (~( c_lessequals @ v_n @ v_m @ ( tc_set @ ( tc_set @ t_a ) ) )),
% 0.57/0.90 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.57/0.90 thf(zip_derived_cl2, plain,
% 0.57/0.90 (~ (c_lessequals @ v_n @ v_m @ (tc_set @ (tc_set @ t_a)))),
% 0.57/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.90 thf(zip_derived_cl196, plain,
% 0.57/0.90 ( (c_lessequals @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @ v_n @
% 0.57/0.90 (tc_set @ (tc_set @ t_a)))),
% 0.57/0.90 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl2])).
% 0.57/0.90 thf(cls_Set_Osubset__trans_0, axiom,
% 0.57/0.90 (( ~( c_lessequals @ V_B @ V_C @ ( tc_set @ T_a ) ) ) |
% 0.57/0.90 ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) |
% 0.57/0.90 ( c_lessequals @ V_A @ V_C @ ( tc_set @ T_a ) ))).
% 0.57/0.90 thf(zip_derived_cl4, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.90 (~ (c_lessequals @ X0 @ X1 @ (tc_set @ X2))
% 0.57/0.90 | ~ (c_lessequals @ X3 @ X0 @ (tc_set @ X2))
% 0.57/0.90 | (c_lessequals @ X3 @ X1 @ (tc_set @ X2)))),
% 0.57/0.90 inference('cnf', [status(esa)], [cls_Set_Osubset__trans_0])).
% 0.57/0.90 thf(zip_derived_cl197, plain,
% 0.57/0.90 (![X0 : $i]:
% 0.57/0.90 ( (c_lessequals @ X0 @ v_n @ (tc_set @ (tc_set @ t_a)))
% 0.57/0.90 | ~ (c_lessequals @ X0 @ (c_Zorn_Osucc @ v_S @ v_m @ t_a) @
% 0.57/0.90 (tc_set @ (tc_set @ t_a))))),
% 0.57/0.90 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl4])).
% 0.57/0.90 thf(cls_Zorn_OAbrial__axiom1_0, axiom,
% 0.57/0.90 (c_lessequals @
% 0.57/0.90 V_x @ ( c_Zorn_Osucc @ V_S @ V_x @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ))).
% 0.57/0.90 thf(zip_derived_cl5, plain,
% 0.57/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.90 (c_lessequals @ X0 @ (c_Zorn_Osucc @ X1 @ X0 @ X2) @
% 0.57/0.90 (tc_set @ (tc_set @ X2)))),
% 0.57/0.90 inference('cnf', [status(esa)], [cls_Zorn_OAbrial__axiom1_0])).
% 0.57/0.90 thf(zip_derived_cl199, plain,
% 0.57/0.90 ( (c_lessequals @ v_m @ v_n @ (tc_set @ (tc_set @ t_a)))),
% 0.57/0.90 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl5])).
% 0.57/0.90 thf(zip_derived_cl205, plain, ($false),
% 0.57/0.90 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl199])).
% 0.57/0.90
% 0.57/0.90 % SZS output end Refutation
% 0.57/0.90
% 0.57/0.90
% 0.57/0.90 % Terminating...
% 0.62/0.97 % Runner terminated.
% 0.62/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------