TSTP Solution File: SWV877-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV877-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hUWmF40OOJ 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 : Fri Sep 1 00:12:22 EDT 2023
% Result : Unsatisfiable 103.54s 15.50s
% Output : Refutation 103.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV877-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hUWmF40OOJ true
% 0.13/0.34 % Computer : n007.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 : Tue Aug 29 07:57:13 EDT 2023
% 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
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 103.54/15.50 % Solved by fo/fo13.sh.
% 103.54/15.50 % done 3901 iterations in 14.732s
% 103.54/15.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 103.54/15.50 % SZS output start Refutation
% 103.54/15.50 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 103.54/15.50 thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 103.54/15.50 thf(v_U_type, type, v_U: $i).
% 103.54/15.50 thf(v_sko__local__Xassms__3__1_type, type, v_sko__local__Xassms__3__1:
% 103.54/15.50 $i > $i > $i > $i > $i).
% 103.54/15.50 thf(c_Orderings_Obot__class_Obot_type, type, c_Orderings_Obot__class_Obot:
% 103.54/15.50 $i > $i).
% 103.54/15.50 thf(c_Set_Oimage_type, type, c_Set_Oimage: $i > $i > $i > $i > $i).
% 103.54/15.50 thf(tc_nat_type, type, tc_nat: $i).
% 103.54/15.50 thf(tc_bool_type, type, tc_bool: $i).
% 103.54/15.50 thf(v_wt_type, type, v_wt: $i > $o).
% 103.54/15.50 thf(v_P_type, type, v_P: $i).
% 103.54/15.50 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 103.54/15.50 thf(v_mgt__call_type, type, v_mgt__call: $i).
% 103.54/15.50 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 103.54/15.50 thf(v_c_type, type, v_c: $i).
% 103.54/15.50 thf(tc_Com_Opname_type, type, tc_Com_Opname: $i).
% 103.54/15.50 thf(c_Finite__Set_Ofinite_type, type, c_Finite__Set_Ofinite: $i > $i > $o).
% 103.54/15.50 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 103.54/15.50 thf(class_Lattices_Olattice_type, type, class_Lattices_Olattice: $i > $o).
% 103.54/15.50 thf(class_Lattices_Oupper__semilattice_type, type, class_Lattices_Oupper__semilattice:
% 103.54/15.50 $i > $o).
% 103.54/15.50 thf(v_mgt_type, type, v_mgt: $i > $i).
% 103.54/15.50 thf(c_Finite__Set_Ocard_type, type, c_Finite__Set_Ocard: $i > $i > $i).
% 103.54/15.50 thf(hBOOL_type, type, hBOOL: $i > $o).
% 103.54/15.50 thf(t_a_type, type, t_a: $i).
% 103.54/15.50 thf(c_Lattices_Oupper__semilattice__class_Osup_type, type, c_Lattices_Oupper__semilattice__class_Osup:
% 103.54/15.50 $i > $i).
% 103.54/15.50 thf(v_G_type, type, v_G: $i).
% 103.54/15.50 thf(clsarity_fun__Lattices_Oupper__semilattice, axiom,
% 103.54/15.50 (( class_Lattices_Oupper__semilattice @ ( tc_fun @ T_2 @ T_1 ) ) |
% 103.54/15.50 ( ~( class_Lattices_Olattice @ T_1 ) ))).
% 103.54/15.50 thf(zip_derived_cl808, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i]:
% 103.54/15.50 ( (class_Lattices_Oupper__semilattice @ (tc_fun @ X0 @ X1))
% 103.54/15.50 | ~ (class_Lattices_Olattice @ X1))),
% 103.54/15.50 inference('cnf', [status(esa)],
% 103.54/15.50 [clsarity_fun__Lattices_Oupper__semilattice])).
% 103.54/15.50 thf(cls_conjecture_4, conjecture,
% 103.54/15.50 (hBOOL @
% 103.54/15.50 ( hAPP @
% 103.54/15.50 ( hAPP @ v_P @ v_G ) @
% 103.54/15.50 ( c_Set_Oinsert @
% 103.54/15.50 ( v_mgt @ v_c ) @
% 103.54/15.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ t_a ) ))).
% 103.54/15.50 thf(zf_stmt_0, negated_conjecture,
% 103.54/15.50 (~( hBOOL @
% 103.54/15.50 ( hAPP @
% 103.54/15.50 ( hAPP @ v_P @ v_G ) @
% 103.54/15.50 ( c_Set_Oinsert @
% 103.54/15.50 ( v_mgt @ v_c ) @
% 103.54/15.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ t_a ) ) )),
% 103.54/15.50 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 103.54/15.50 thf(zip_derived_cl807, plain,
% 103.54/15.50 (~ (hBOOL @
% 103.54/15.50 (hAPP @ (hAPP @ v_P @ v_G) @
% 103.54/15.50 (c_Set_Oinsert @ (v_mgt @ v_c) @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a)))),
% 103.54/15.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.54/15.50 thf(cls_assms_I3_J_1, axiom,
% 103.54/15.50 (( hBOOL @
% 103.54/15.50 ( hAPP @
% 103.54/15.50 ( hAPP @ v_P @ V_G ) @
% 103.54/15.50 ( c_Set_Oinsert @
% 103.54/15.50 ( v_mgt @ V_c ) @
% 103.54/15.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ t_a ) ) ) |
% 103.54/15.50 ( ~( hBOOL @
% 103.54/15.50 ( hAPP @
% 103.54/15.50 ( hAPP @ v_P @ V_G ) @
% 103.54/15.50 ( c_Set_Oinsert @
% 103.54/15.50 ( hAPP @
% 103.54/15.50 v_mgt__call @
% 103.54/15.50 ( v_sko__local__Xassms__3__1 @ V_G @ v_P @ v_U @ v_mgt__call ) ) @
% 103.54/15.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @
% 103.54/15.50 t_a ) ) ) ) |
% 103.54/15.50 ( ~( v_wt @ V_c ) ))).
% 103.54/15.50 thf(zip_derived_cl747, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i]:
% 103.54/15.50 ( (hBOOL @
% 103.54/15.50 (hAPP @ (hAPP @ v_P @ X0) @
% 103.54/15.50 (c_Set_Oinsert @ (v_mgt @ X1) @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a)))
% 103.54/15.50 | ~ (hBOOL @
% 103.54/15.50 (hAPP @ (hAPP @ v_P @ X0) @
% 103.54/15.50 (c_Set_Oinsert @
% 103.54/15.50 (hAPP @ v_mgt__call @
% 103.54/15.50 (v_sko__local__Xassms__3__1 @ X0 @ v_P @ v_U @ v_mgt__call)) @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @
% 103.54/15.50 t_a)))
% 103.54/15.50 | ~ (v_wt @ X1))),
% 103.54/15.50 inference('cnf', [status(esa)], [cls_assms_I3_J_1])).
% 103.54/15.50 thf(zip_derived_cl56636, plain,
% 103.54/15.50 ((~ (hBOOL @
% 103.54/15.50 (hAPP @ (hAPP @ v_P @ v_G) @
% 103.54/15.50 (c_Set_Oinsert @
% 103.54/15.50 (hAPP @ v_mgt__call @
% 103.54/15.50 (v_sko__local__Xassms__3__1 @ v_G @ v_P @ v_U @ v_mgt__call)) @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a)))
% 103.54/15.50 | ~ (v_wt @ v_c))),
% 103.54/15.50 inference('s_sup+', [status(thm)], [zip_derived_cl807, zip_derived_cl747])).
% 103.54/15.50 thf(cls_conjecture_3, conjecture, (~( v_wt @ v_c ))).
% 103.54/15.50 thf(zf_stmt_1, negated_conjecture, (v_wt @ v_c),
% 103.54/15.50 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 103.54/15.50 thf(zip_derived_cl806, plain, ( (v_wt @ v_c)),
% 103.54/15.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 103.54/15.50 thf(zip_derived_cl56663, plain,
% 103.54/15.50 (~ (hBOOL @
% 103.54/15.50 (hAPP @ (hAPP @ v_P @ v_G) @
% 103.54/15.50 (c_Set_Oinsert @
% 103.54/15.50 (hAPP @ v_mgt__call @
% 103.54/15.50 (v_sko__local__Xassms__3__1 @ v_G @ v_P @ v_U @ v_mgt__call)) @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a)))),
% 103.54/15.50 inference('demod', [status(thm)],
% 103.54/15.50 [zip_derived_cl56636, zip_derived_cl806])).
% 103.54/15.50 thf(cls_assms_I1_J_0, axiom,
% 103.54/15.50 (( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_G ) @ V_ts ) ) |
% 103.54/15.50 ( ~( c_lessequals @ V_ts @ V_G @ ( tc_fun @ t_a @ tc_bool ) ) ))).
% 103.54/15.50 thf(zip_derived_cl799, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i]:
% 103.54/15.50 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ X1))
% 103.54/15.50 | ~ (c_lessequals @ X1 @ X0 @ (tc_fun @ t_a @ tc_bool)))),
% 103.54/15.50 inference('cnf', [status(esa)], [cls_assms_I1_J_0])).
% 103.54/15.50 thf(zip_derived_cl57060, plain,
% 103.54/15.50 (~ (c_lessequals @
% 103.54/15.50 (c_Set_Oinsert @
% 103.54/15.50 (hAPP @ v_mgt__call @
% 103.54/15.50 (v_sko__local__Xassms__3__1 @ v_G @ v_P @ v_U @ v_mgt__call)) @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a) @
% 103.54/15.50 v_G @ (tc_fun @ t_a @ tc_bool))),
% 103.54/15.50 inference('s_sup+', [status(thm)],
% 103.54/15.50 [zip_derived_cl56663, zip_derived_cl799])).
% 103.54/15.50 thf(cls_le__iff__sup_1, axiom,
% 103.54/15.50 (( ~( class_Lattices_Oupper__semilattice @ T_a ) ) |
% 103.54/15.50 ( ( hAPP @
% 103.54/15.50 ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ T_a ) @ V_x ) @
% 103.54/15.50 V_y ) !=
% 103.54/15.50 ( V_y ) ) |
% 103.54/15.50 ( c_lessequals @ V_x @ V_y @ T_a ))).
% 103.54/15.50 thf(zip_derived_cl221, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.54/15.50 (~ (class_Lattices_Oupper__semilattice @ X0)
% 103.54/15.50 | ((hAPP @
% 103.54/15.50 (hAPP @ (c_Lattices_Oupper__semilattice__class_Osup @ X0) @ X2) @
% 103.54/15.50 X1) != (X1))
% 103.54/15.50 | (c_lessequals @ X2 @ X1 @ X0))),
% 103.54/15.50 inference('cnf', [status(esa)], [cls_le__iff__sup_1])).
% 103.54/15.50 thf(zip_derived_cl57071, plain,
% 103.54/15.50 ((~ (class_Lattices_Oupper__semilattice @ (tc_fun @ t_a @ tc_bool))
% 103.54/15.50 | ((hAPP @
% 103.54/15.50 (hAPP @
% 103.54/15.50 (c_Lattices_Oupper__semilattice__class_Osup @
% 103.54/15.50 (tc_fun @ t_a @ tc_bool)) @
% 103.54/15.50 (c_Set_Oinsert @
% 103.54/15.50 (hAPP @ v_mgt__call @
% 103.54/15.50 (v_sko__local__Xassms__3__1 @ v_G @ v_P @ v_U @ v_mgt__call)) @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a)) @
% 103.54/15.50 v_G) != (v_G)))),
% 103.54/15.50 inference('s_sup+', [status(thm)],
% 103.54/15.50 [zip_derived_cl57060, zip_derived_cl221])).
% 103.54/15.50 thf(cls_insert__is__Un_0, axiom,
% 103.54/15.50 (( c_Set_Oinsert @ V_a @ V_A @ T_a ) =
% 103.54/15.50 ( hAPP @
% 103.54/15.50 ( hAPP @
% 103.54/15.50 ( c_Lattices_Oupper__semilattice__class_Osup @
% 103.54/15.50 ( tc_fun @ T_a @ tc_bool ) ) @
% 103.54/15.50 ( c_Set_Oinsert @
% 103.54/15.50 V_a @
% 103.54/15.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) @
% 103.54/15.50 V_A ))).
% 103.54/15.50 thf(zip_derived_cl295, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.54/15.50 ((c_Set_Oinsert @ X1 @ X2 @ X0)
% 103.54/15.50 = (hAPP @
% 103.54/15.50 (hAPP @
% 103.54/15.50 (c_Lattices_Oupper__semilattice__class_Osup @
% 103.54/15.50 (tc_fun @ X0 @ tc_bool)) @
% 103.54/15.50 (c_Set_Oinsert @ X1 @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ X0 @ tc_bool)) @ X0)) @
% 103.54/15.50 X2))),
% 103.54/15.50 inference('cnf', [status(esa)], [cls_insert__is__Un_0])).
% 103.54/15.50 thf(zip_derived_cl807, plain,
% 103.54/15.50 (~ (hBOOL @
% 103.54/15.50 (hAPP @ (hAPP @ v_P @ v_G) @
% 103.54/15.50 (c_Set_Oinsert @ (v_mgt @ v_c) @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a)))),
% 103.54/15.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.54/15.50 thf(cls_assms_I3_J_0, axiom,
% 103.54/15.50 (( hBOOL @
% 103.54/15.50 ( hAPP @
% 103.54/15.50 ( hAPP @ v_P @ V_G ) @
% 103.54/15.50 ( c_Set_Oinsert @
% 103.54/15.50 ( v_mgt @ V_c ) @
% 103.54/15.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ t_a ) ) ) |
% 103.54/15.50 ( c_in @
% 103.54/15.50 ( v_sko__local__Xassms__3__1 @ V_G @ v_P @ v_U @ v_mgt__call ) @ v_U @
% 103.54/15.50 tc_Com_Opname ) |
% 103.54/15.50 ( ~( v_wt @ V_c ) ))).
% 103.54/15.50 thf(zip_derived_cl746, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i]:
% 103.54/15.50 ( (hBOOL @
% 103.54/15.50 (hAPP @ (hAPP @ v_P @ X0) @
% 103.54/15.50 (c_Set_Oinsert @ (v_mgt @ X1) @
% 103.54/15.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ t_a @ tc_bool)) @ t_a)))
% 103.54/15.50 | (c_in @
% 103.54/15.50 (v_sko__local__Xassms__3__1 @ X0 @ v_P @ v_U @ v_mgt__call) @
% 103.54/15.50 v_U @ tc_Com_Opname)
% 103.54/15.50 | ~ (v_wt @ X1))),
% 103.54/15.50 inference('cnf', [status(esa)], [cls_assms_I3_J_0])).
% 103.54/15.50 thf(zip_derived_cl56476, plain,
% 103.54/15.50 (( (c_in @
% 103.54/15.50 (v_sko__local__Xassms__3__1 @ v_G @ v_P @ v_U @ v_mgt__call) @ v_U @
% 103.54/15.50 tc_Com_Opname)
% 103.54/15.50 | ~ (v_wt @ v_c))),
% 103.54/15.50 inference('s_sup+', [status(thm)], [zip_derived_cl807, zip_derived_cl746])).
% 103.54/15.50 thf(zip_derived_cl806, plain, ( (v_wt @ v_c)),
% 103.54/15.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 103.54/15.50 thf(zip_derived_cl56488, plain,
% 103.54/15.50 ( (c_in @ (v_sko__local__Xassms__3__1 @ v_G @ v_P @ v_U @ v_mgt__call) @
% 103.54/15.50 v_U @ tc_Com_Opname)),
% 103.54/15.50 inference('demod', [status(thm)],
% 103.54/15.50 [zip_derived_cl56476, zip_derived_cl806])).
% 103.54/15.50 thf(cls_conjecture_1, conjecture,
% 103.54/15.50 (~( c_lessequals @
% 103.54/15.50 v_G @ ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @
% 103.54/15.50 ( tc_fun @ t_a @ tc_bool ) ))).
% 103.54/15.50 thf(zf_stmt_2, negated_conjecture,
% 103.54/15.50 (c_lessequals @
% 103.54/15.50 v_G @ ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @
% 103.54/15.50 ( tc_fun @ t_a @ tc_bool )),
% 103.54/15.50 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 103.54/15.50 thf(zip_derived_cl804, plain,
% 103.54/15.50 ( (c_lessequals @ v_G @
% 103.54/15.50 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @
% 103.54/15.50 (tc_fun @ t_a @ tc_bool))),
% 103.54/15.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 103.54/15.50 thf(cls_card__seteq_0, axiom,
% 103.54/15.50 (( ( V_A ) = ( V_B ) ) |
% 103.54/15.50 ( ~( c_lessequals @
% 103.54/15.50 ( c_Finite__Set_Ocard @ V_B @ T_a ) @
% 103.54/15.50 ( c_Finite__Set_Ocard @ V_A @ T_a ) @ tc_nat ) ) |
% 103.54/15.50 ( ~( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) |
% 103.54/15.50 ( ~( c_Finite__Set_Ofinite @ V_B @ T_a ) ))).
% 103.54/15.50 thf(zip_derived_cl737, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.54/15.50 (((X1) = (X0))
% 103.54/15.50 | ~ (c_lessequals @ (c_Finite__Set_Ocard @ X0 @ X2) @
% 103.54/15.50 (c_Finite__Set_Ocard @ X1 @ X2) @ tc_nat)
% 103.54/15.50 | ~ (c_lessequals @ X1 @ X0 @ (tc_fun @ X2 @ tc_bool))
% 103.54/15.50 | ~ (c_Finite__Set_Ofinite @ X0 @ X2))),
% 103.54/15.50 inference('cnf', [status(esa)], [cls_card__seteq_0])).
% 103.54/15.50 thf(zip_derived_cl7458, plain,
% 103.54/15.50 ((((v_G) = (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a))
% 103.54/15.50 | ~ (c_lessequals @
% 103.54/15.50 (c_Finite__Set_Ocard @
% 103.54/15.50 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a) @
% 103.54/15.50 (c_Finite__Set_Ocard @ v_G @ t_a) @ tc_nat)
% 103.54/15.50 | ~ (c_Finite__Set_Ofinite @
% 103.54/15.50 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a))),
% 103.54/15.50 inference('s_sup-', [status(thm)], [zip_derived_cl804, zip_derived_cl737])).
% 103.54/15.50 thf(cls_conjecture_2, conjecture,
% 103.54/15.50 (( c_Finite__Set_Ocard @ v_G @ t_a ) !=
% 103.54/15.50 ( c_Finite__Set_Ocard @
% 103.54/15.50 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a ))).
% 103.54/15.50 thf(zf_stmt_3, negated_conjecture,
% 103.54/15.50 (( c_Finite__Set_Ocard @ v_G @ t_a ) =
% 103.54/15.50 ( c_Finite__Set_Ocard @
% 103.54/15.50 ( c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a ) @ t_a )),
% 103.54/15.50 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 103.54/15.50 thf(zip_derived_cl805, plain,
% 103.54/15.50 (((c_Finite__Set_Ocard @ v_G @ t_a)
% 103.54/15.50 = (c_Finite__Set_Ocard @
% 103.54/15.50 (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a) @ t_a))),
% 103.54/15.50 inference('cnf', [status(esa)], [zf_stmt_3])).
% 103.54/15.50 thf(cls_le__refl_0, axiom, (c_lessequals @ V_n @ V_n @ tc_nat)).
% 103.54/15.50 thf(zip_derived_cl689, plain,
% 103.54/15.50 (![X0 : $i]: (c_lessequals @ X0 @ X0 @ tc_nat)),
% 103.54/15.50 inference('cnf', [status(esa)], [cls_le__refl_0])).
% 103.54/15.50 thf(cls_conjecture_0, conjecture,
% 103.54/15.50 (~( c_Finite__Set_Ofinite @ v_U @ tc_Com_Opname ))).
% 103.54/15.50 thf(zf_stmt_4, negated_conjecture,
% 103.54/15.50 (c_Finite__Set_Ofinite @ v_U @ tc_Com_Opname),
% 103.54/15.50 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 103.54/15.50 thf(zip_derived_cl803, plain,
% 103.54/15.50 ( (c_Finite__Set_Ofinite @ v_U @ tc_Com_Opname)),
% 103.54/15.50 inference('cnf', [status(esa)], [zf_stmt_4])).
% 103.54/15.50 thf(cls_finite__imageI_0, axiom,
% 103.54/15.50 (( c_Finite__Set_Ofinite @ ( c_Set_Oimage @ V_h @ V_F @ T_a @ T_b ) @ T_b ) |
% 103.54/15.50 ( ~( c_Finite__Set_Ofinite @ V_F @ T_a ) ))).
% 103.54/15.50 thf(zip_derived_cl774, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.54/15.50 ( (c_Finite__Set_Ofinite @ (c_Set_Oimage @ X0 @ X1 @ X2 @ X3) @ X3)
% 103.54/15.50 | ~ (c_Finite__Set_Ofinite @ X1 @ X2))),
% 103.54/15.50 inference('cnf', [status(esa)], [cls_finite__imageI_0])).
% 103.54/15.50 thf(zip_derived_cl3075, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i]:
% 103.54/15.50 (c_Finite__Set_Ofinite @
% 103.54/15.50 (c_Set_Oimage @ X1 @ v_U @ tc_Com_Opname @ X0) @ X0)),
% 103.54/15.50 inference('s_sup-', [status(thm)], [zip_derived_cl803, zip_derived_cl774])).
% 103.54/15.50 thf(zip_derived_cl7467, plain,
% 103.54/15.50 (((v_G) = (c_Set_Oimage @ v_mgt__call @ v_U @ tc_Com_Opname @ t_a))),
% 103.54/15.50 inference('demod', [status(thm)],
% 103.54/15.50 [zip_derived_cl7458, zip_derived_cl805, zip_derived_cl689,
% 103.54/15.50 zip_derived_cl3075])).
% 103.54/15.50 thf(cls_insert__image_0, axiom,
% 103.54/15.50 (( ( c_Set_Oinsert @
% 103.54/15.50 ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ T_b ) =
% 103.54/15.50 ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) ) |
% 103.54/15.50 ( ~( c_in @ V_x @ V_A @ T_a ) ))).
% 103.54/15.50 thf(zip_derived_cl713, plain,
% 103.54/15.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 103.54/15.50 (((c_Set_Oinsert @ (hAPP @ X0 @ X4) @
% 103.54/15.50 (c_Set_Oimage @ X0 @ X1 @ X2 @ X3) @ X3)
% 103.54/15.50 = (c_Set_Oimage @ X0 @ X1 @ X2 @ X3))
% 103.54/15.50 | ~ (c_in @ X4 @ X1 @ X2))),
% 103.54/15.50 inference('cnf', [status(esa)], [cls_insert__image_0])).
% 103.54/15.50 thf(zip_derived_cl50524, plain,
% 103.54/15.50 (![X0 : $i]:
% 103.54/15.50 (((c_Set_Oinsert @ (hAPP @ v_mgt__call @ X0) @ v_G @ t_a) = (v_G))
% 103.54/15.50 | ~ (c_in @ X0 @ v_U @ tc_Com_Opname))),
% 103.54/15.50 inference('s_sup+', [status(thm)],
% 103.54/15.50 [zip_derived_cl7467, zip_derived_cl713])).
% 103.54/15.50 thf(zip_derived_cl56534, plain,
% 103.54/15.50 (((c_Set_Oinsert @
% 103.54/15.50 (hAPP @ v_mgt__call @
% 103.54/15.50 (v_sko__local__Xassms__3__1 @ v_G @ v_P @ v_U @ v_mgt__call)) @
% 103.54/15.50 v_G @ t_a) = (v_G))),
% 103.54/15.50 inference('s_sup-', [status(thm)],
% 103.54/15.50 [zip_derived_cl56488, zip_derived_cl50524])).
% 103.54/15.50 thf(zip_derived_cl57110, plain,
% 103.54/15.50 ((~ (class_Lattices_Oupper__semilattice @ (tc_fun @ t_a @ tc_bool))
% 103.54/15.50 | ((v_G) != (v_G)))),
% 103.54/15.50 inference('demod', [status(thm)],
% 103.54/15.50 [zip_derived_cl57071, zip_derived_cl295, zip_derived_cl56534])).
% 103.54/15.50 thf(zip_derived_cl57111, plain,
% 103.54/15.50 (~ (class_Lattices_Oupper__semilattice @ (tc_fun @ t_a @ tc_bool))),
% 103.54/15.50 inference('simplify', [status(thm)], [zip_derived_cl57110])).
% 103.54/15.50 thf(zip_derived_cl57215, plain, (~ (class_Lattices_Olattice @ tc_bool)),
% 103.54/15.50 inference('s_sup-', [status(thm)],
% 103.54/15.50 [zip_derived_cl808, zip_derived_cl57111])).
% 103.54/15.50 thf(clsarity_bool__Lattices_Olattice, axiom,
% 103.54/15.50 (class_Lattices_Olattice @ tc_bool)).
% 103.54/15.50 thf(zip_derived_cl839, plain, ( (class_Lattices_Olattice @ tc_bool)),
% 103.54/15.50 inference('cnf', [status(esa)], [clsarity_bool__Lattices_Olattice])).
% 103.54/15.50 thf(zip_derived_cl57216, plain, ($false),
% 103.54/15.50 inference('demod', [status(thm)],
% 103.54/15.50 [zip_derived_cl57215, zip_derived_cl839])).
% 103.54/15.50
% 103.54/15.50 % SZS output end Refutation
% 103.54/15.50
% 103.54/15.50
% 103.54/15.50 % Terminating...
% 104.17/15.57 % Runner terminated.
% 104.17/15.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------