%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV926-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Hckff18YW5 true
% Computer : n026.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 05:02:10 PM UTC 2025
% Result : Unsatisfiable 18.46s 3.27s
% Output : Refutation 18.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV926-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Hckff18YW5 true
% 0.13/0.34 % Computer : n026.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 12:48:38 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 18.46/3.27 % Solved by fo/fo3_bce.sh.
% 18.46/3.27 % BCE start: 434
% 18.46/3.27 % BCE eliminated: 10
% 18.46/3.27 % PE start: 424
% 18.46/3.27 logic: eq
% 18.46/3.27 % PE eliminated: 0
% 18.46/3.27 % done 1785 iterations in 2.533s
% 18.46/3.27 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 18.46/3.27 % SZS output start Refutation
% 18.46/3.27 thf(tc_bool_type, type, tc_bool: $i).
% 18.46/3.27 thf(v_ab_type, type, v_ab: $i).
% 18.46/3.27 thf(v_b_type, type, v_b: $i).
% 18.46/3.27 thf(v_ad_type, type, v_ad: $i).
% 18.46/3.27 thf(v_x_type, type, v_x: $i).
% 18.46/3.27 thf(tc_Value_Oval_type, type, tc_Value_Oval: $i).
% 18.46/3.27 thf(v_ba_type, type, v_ba: $i).
% 18.46/3.27 thf(v_ac_type, type, v_ac: $i).
% 18.46/3.27 thf(c_Lattices_Oupper__semilattice__class_Osup_type, type, c_Lattices_Oupper__semilattice__class_Osup:
% 18.46/3.27 $i > $i > $i > $i).
% 18.46/3.27 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 18.46/3.27 thf(tc_List_Olist_type, type, tc_List_Olist: $i > $i).
% 18.46/3.27 thf(v_ae_type, type, v_ae: $i).
% 18.46/3.27 thf(tc_String_Ochar_type, type, tc_String_Ochar: $i).
% 18.46/3.27 thf(c_Map_Odom_type, type, c_Map_Odom: $i > $i > $i > $i).
% 18.46/3.27 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 18.46/3.27 thf(cls_subset__Un__eq_1, axiom,
% 18.46/3.27 (( ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) !=
% 18.46/3.27 ( V_B ) ) |
% 18.46/3.27 ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ))).
% 18.46/3.27 thf(zip_derived_cl374, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)) != (X0))
% 18.46/3.27 | (c_lessequals @ X1 @ X0 @ (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_subset__Un__eq_1])).
% 18.46/3.27 thf(zip_derived_cl374, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)) != (X0))
% 18.46/3.27 | (c_lessequals @ X1 @ X0 @ (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_subset__Un__eq_1])).
% 18.46/3.27 thf(cls_conjecture_7, conjecture,
% 18.46/3.27 (~( ( ~( c_lessequals @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_b @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_ba @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 v_ac @ v_x @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) ) |
% 18.46/3.27 ( ~( c_lessequals @
% 18.46/3.27 v_ae @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_ba @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 v_ac @ v_x @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) ) |
% 18.46/3.27 ( ~( c_lessequals @
% 18.46/3.27 v_x @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_ba @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 v_ac @ v_x @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) ) ))).
% 18.46/3.27 thf(zf_stmt_0, negated_conjecture,
% 18.46/3.27 (( ~( c_lessequals @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_b @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_ba @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 v_ac @ v_x @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) ) |
% 18.46/3.27 ( ~( c_lessequals @
% 18.46/3.27 v_ae @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_ba @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 v_ac @ v_x @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) ) |
% 18.46/3.27 ( ~( c_lessequals @
% 18.46/3.27 v_x @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_ba @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 v_ac @ v_x @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) )),
% 18.46/3.27 inference('cnf.neg', [status(esa)], [cls_conjecture_7])).
% 18.46/3.27 thf(zip_derived_cl426, plain,
% 18.46/3.27 ((~ (c_lessequals @
% 18.46/3.27 (c_Map_Odom @ v_b @ (tc_List_Olist @ tc_String_Ochar) @
% 18.46/3.27 tc_Value_Oval) @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_ba @ (tc_List_Olist @ tc_String_Ochar) @
% 18.46/3.27 tc_Value_Oval) @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_ac @ v_x @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 | ~ (c_lessequals @ v_ae @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_ba @ (tc_List_Olist @ tc_String_Ochar) @
% 18.46/3.27 tc_Value_Oval) @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_ac @ v_x @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 | ~ (c_lessequals @ v_x @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_ba @ (tc_List_Olist @ tc_String_Ochar) @
% 18.46/3.27 tc_Value_Oval) @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_ac @ v_x @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 18.46/3.27 thf(cls_Un__commute_0, axiom,
% 18.46/3.27 (( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) =
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ))).
% 18.46/3.27 thf(zip_derived_cl411, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__commute_0])).
% 18.46/3.27 thf(cls_Un__left__commute_0, axiom,
% 18.46/3.27 (( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ T_a @ tc_bool ) ) =
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_B @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ T_a @ tc_bool ) ))).
% 18.46/3.27 thf(zip_derived_cl394, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__left__commute_0])).
% 18.46/3.27 thf(cls_conjecture_3, conjecture,
% 18.46/3.27 (( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_ba @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 v_ac @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) !=
% 18.46/3.27 ( v_ab ))).
% 18.46/3.27 thf(zf_stmt_1, negated_conjecture,
% 18.46/3.27 (( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @
% 18.46/3.27 v_ba @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 v_ac @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) =
% 18.46/3.27 ( v_ab )),
% 18.46/3.27 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 18.46/3.27 thf(zip_derived_cl430, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_ba @ (tc_List_Olist @ tc_String_Ochar) @ tc_Value_Oval) @
% 18.46/3.27 v_ac @ (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 = (v_ab))),
% 18.46/3.27 inference('cnf', [status(esa)], [zf_stmt_1])).
% 18.46/3.27 thf(zip_derived_cl411, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__commute_0])).
% 18.46/3.27 thf(zip_derived_cl394, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__left__commute_0])).
% 18.46/3.27 thf(zip_derived_cl430, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_ba @ (tc_List_Olist @ tc_String_Ochar) @ tc_Value_Oval) @
% 18.46/3.27 v_ac @ (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 = (v_ab))),
% 18.46/3.27 inference('cnf', [status(esa)], [zf_stmt_1])).
% 18.46/3.27 thf(zip_derived_cl411, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__commute_0])).
% 18.46/3.27 thf(zip_derived_cl394, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__left__commute_0])).
% 18.46/3.27 thf(zip_derived_cl430, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_ba @ (tc_List_Olist @ tc_String_Ochar) @ tc_Value_Oval) @
% 18.46/3.27 v_ac @ (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 = (v_ab))),
% 18.46/3.27 inference('cnf', [status(esa)], [zf_stmt_1])).
% 18.46/3.27 thf(cls_Un__upper1_0, axiom,
% 18.46/3.27 (c_lessequals @
% 18.46/3.27 V_A @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ T_a @ tc_bool ))).
% 18.46/3.27 thf(zip_derived_cl402, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 (c_lessequals @ X0 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__upper1_0])).
% 18.46/3.27 thf(zip_derived_cl10930, plain,
% 18.46/3.27 ((~ (c_lessequals @
% 18.46/3.27 (c_Map_Odom @ v_b @ (tc_List_Olist @ tc_String_Ochar) @
% 18.46/3.27 tc_Value_Oval) @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 | ~ (c_lessequals @ v_ae @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('demod', [status(thm)],
% 18.46/3.27 [zip_derived_cl426, zip_derived_cl411, zip_derived_cl394,
% 18.46/3.27 zip_derived_cl430, zip_derived_cl411, zip_derived_cl394,
% 18.46/3.27 zip_derived_cl430, zip_derived_cl411, zip_derived_cl394,
% 18.46/3.27 zip_derived_cl430, zip_derived_cl402])).
% 18.46/3.27 thf(zip_derived_cl10936, plain,
% 18.46/3.27 ((((c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_b @ (tc_List_Olist @ tc_String_Ochar) @ tc_Value_Oval) @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 != (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))
% 18.46/3.27 | ~ (c_lessequals @ v_ae @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('sup-', [status(thm)], [zip_derived_cl374, zip_derived_cl10930])).
% 18.46/3.27 thf(zip_derived_cl394, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__left__commute_0])).
% 18.46/3.27 thf(zip_derived_cl411, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__commute_0])).
% 18.46/3.27 thf(cls_Un__absorb2_0, axiom,
% 18.46/3.27 (( ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) =
% 18.46/3.27 ( V_A ) ) |
% 18.46/3.27 ( ~( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ))).
% 18.46/3.27 thf(zip_derived_cl375, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)) = (X0))
% 18.46/3.27 | ~ (c_lessequals @ X1 @ X0 @ (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__absorb2_0])).
% 18.46/3.27 thf(cls_conjecture_0, conjecture,
% 18.46/3.27 (~( c_lessequals @
% 18.46/3.27 v_ad @ v_ab @
% 18.46/3.27 ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ))).
% 18.46/3.27 thf(zf_stmt_2, negated_conjecture,
% 18.46/3.27 (c_lessequals @
% 18.46/3.27 v_ad @ v_ab @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool )),
% 18.46/3.27 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 18.46/3.27 thf(zip_derived_cl433, plain,
% 18.46/3.27 ( (c_lessequals @ v_ad @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))),
% 18.46/3.27 inference('cnf', [status(esa)], [zf_stmt_2])).
% 18.46/3.27 thf(zip_derived_cl2041, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ v_ab @ v_ad @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (v_ab))),
% 18.46/3.27 inference('sup+', [status(thm)], [zip_derived_cl375, zip_derived_cl433])).
% 18.46/3.27 thf(zip_derived_cl394, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__left__commute_0])).
% 18.46/3.27 thf(zip_derived_cl8280, plain,
% 18.46/3.27 (![X0 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X0 @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ v_ab @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ v_ad @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('sup+', [status(thm)], [zip_derived_cl2041, zip_derived_cl394])).
% 18.46/3.27 thf(zip_derived_cl8826, plain,
% 18.46/3.27 (![X0 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X0 @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ v_ab @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_ad @ X0 @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('sup+', [status(thm)], [zip_derived_cl411, zip_derived_cl8280])).
% 18.46/3.27 thf(cls_conjecture_5, conjecture,
% 18.46/3.27 (( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @ v_b @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 v_ae @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) !=
% 18.46/3.27 ( v_ad ))).
% 18.46/3.27 thf(zf_stmt_3, negated_conjecture,
% 18.46/3.27 (( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 ( c_Map_Odom @ v_b @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @
% 18.46/3.27 v_ae @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_bool ) ) =
% 18.46/3.27 ( v_ad )),
% 18.46/3.27 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 18.46/3.27 thf(zip_derived_cl428, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_b @ (tc_List_Olist @ tc_String_Ochar) @ tc_Value_Oval) @
% 18.46/3.27 v_ae @ (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 = (v_ad))),
% 18.46/3.27 inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.46/3.27 thf(cls_Un__left__absorb_0, axiom,
% 18.46/3.27 (( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @
% 18.46/3.27 ( tc_fun @ T_a @ tc_bool ) ) =
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ))).
% 18.46/3.27 thf(zip_derived_cl414, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X0 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__left__absorb_0])).
% 18.46/3.27 thf(zip_derived_cl10747, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_b @ (tc_List_Olist @ tc_String_Ochar) @ tc_Value_Oval) @
% 18.46/3.27 v_ad @ (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_b @ (tc_List_Olist @ tc_String_Ochar) @
% 18.46/3.27 tc_Value_Oval) @
% 18.46/3.27 v_ae @ (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl414])).
% 18.46/3.27 thf(zip_derived_cl411, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__commute_0])).
% 18.46/3.27 thf(zip_derived_cl428, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_b @ (tc_List_Olist @ tc_String_Ochar) @ tc_Value_Oval) @
% 18.46/3.27 v_ae @ (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 = (v_ad))),
% 18.46/3.27 inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.46/3.27 thf(zip_derived_cl10793, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ v_ad @
% 18.46/3.27 (c_Map_Odom @ v_b @ (tc_List_Olist @ tc_String_Ochar) @ tc_Value_Oval) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (v_ad))),
% 18.46/3.27 inference('demod', [status(thm)],
% 18.46/3.27 [zip_derived_cl10747, zip_derived_cl411, zip_derived_cl428])).
% 18.46/3.27 thf(zip_derived_cl2041, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ v_ab @ v_ad @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (v_ab))),
% 18.46/3.27 inference('sup+', [status(thm)], [zip_derived_cl375, zip_derived_cl433])).
% 18.46/3.27 thf(zip_derived_cl10945, plain,
% 18.46/3.27 ((((c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 != (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))
% 18.46/3.27 | ~ (c_lessequals @ v_ae @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('demod', [status(thm)],
% 18.46/3.27 [zip_derived_cl10936, zip_derived_cl394, zip_derived_cl8826,
% 18.46/3.27 zip_derived_cl10793, zip_derived_cl2041])).
% 18.46/3.27 thf(zip_derived_cl10946, plain,
% 18.46/3.27 (~ (c_lessequals @ v_ae @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))),
% 18.46/3.27 inference('simplify', [status(thm)], [zip_derived_cl10945])).
% 18.46/3.27 thf(zip_derived_cl11160, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ v_ae @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 != (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('sup-', [status(thm)], [zip_derived_cl374, zip_derived_cl10946])).
% 18.46/3.27 thf(zip_derived_cl394, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X2 @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)) @
% 18.46/3.27 (tc_fun @ X3 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__left__commute_0])).
% 18.46/3.27 thf(zip_derived_cl428, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 (c_Map_Odom @ v_b @ (tc_List_Olist @ tc_String_Ochar) @ tc_Value_Oval) @
% 18.46/3.27 v_ae @ (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 = (v_ad))),
% 18.46/3.27 inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.46/3.27 thf(cls_Un__subset__iff_1, axiom,
% 18.46/3.27 (( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) |
% 18.46/3.27 ( ~( c_lessequals @
% 18.46/3.27 ( c_Lattices_Oupper__semilattice__class_Osup @
% 18.46/3.27 V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @
% 18.46/3.27 V_C @ ( tc_fun @ T_a @ tc_bool ) ) ))).
% 18.46/3.27 thf(zip_derived_cl363, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.46/3.27 ( (c_lessequals @ X0 @ X1 @ (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 | ~ (c_lessequals @
% 18.46/3.27 (c_Lattices_Oupper__semilattice__class_Osup @ X3 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)) @
% 18.46/3.27 X1 @ (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__subset__iff_1])).
% 18.46/3.27 thf(zip_derived_cl2630, plain,
% 18.46/3.27 (![X0 : $i]:
% 18.46/3.27 (~ (c_lessequals @ v_ad @ X0 @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 | (c_lessequals @ v_ae @ X0 @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('sup-', [status(thm)], [zip_derived_cl428, zip_derived_cl363])).
% 18.46/3.27 thf(zip_derived_cl375, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)) = (X0))
% 18.46/3.27 | ~ (c_lessequals @ X1 @ X0 @ (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__absorb2_0])).
% 18.46/3.27 thf(zip_derived_cl5690, plain,
% 18.46/3.27 (![X0 : $i]:
% 18.46/3.27 (~ (c_lessequals @ v_ad @ X0 @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 | ((c_Lattices_Oupper__semilattice__class_Osup @ X0 @ v_ae @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (
% 18.46/3.27 X0)))),
% 18.46/3.27 inference('sup-', [status(thm)], [zip_derived_cl2630, zip_derived_cl375])).
% 18.46/3.27 thf(cls_subset__refl_0, axiom,
% 18.46/3.27 (c_lessequals @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ))).
% 18.46/3.27 thf(zip_derived_cl357, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i]: (c_lessequals @ X0 @ X0 @ (tc_fun @ X1 @ tc_bool))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_subset__refl_0])).
% 18.46/3.27 thf(zip_derived_cl7151, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ v_ad @ v_ae @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (v_ad))),
% 18.46/3.27 inference('sup+', [status(thm)], [zip_derived_cl5690, zip_derived_cl357])).
% 18.46/3.27 thf(zip_derived_cl411, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__commute_0])).
% 18.46/3.27 thf(zip_derived_cl433, plain,
% 18.46/3.27 ( (c_lessequals @ v_ad @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))),
% 18.46/3.27 inference('cnf', [status(esa)], [zf_stmt_2])).
% 18.46/3.27 thf(cls_subset__trans_0, axiom,
% 18.46/3.27 (( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) |
% 18.46/3.27 ( ~( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) |
% 18.46/3.27 ( ~( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ))).
% 18.46/3.27 thf(zip_derived_cl356, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.46/3.27 ( (c_lessequals @ X0 @ X1 @ (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 | ~ (c_lessequals @ X3 @ X1 @ (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 | ~ (c_lessequals @ X0 @ X3 @ (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_subset__trans_0])).
% 18.46/3.27 thf(zip_derived_cl2425, plain,
% 18.46/3.27 (![X0 : $i]:
% 18.46/3.27 (~ (c_lessequals @ X0 @ v_ad @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 | (c_lessequals @ X0 @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('sup-', [status(thm)], [zip_derived_cl433, zip_derived_cl356])).
% 18.46/3.27 thf(zip_derived_cl375, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)) = (X0))
% 18.46/3.27 | ~ (c_lessequals @ X1 @ X0 @ (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__absorb2_0])).
% 18.46/3.27 thf(zip_derived_cl3469, plain,
% 18.46/3.27 (![X0 : $i]:
% 18.46/3.27 (~ (c_lessequals @ X0 @ v_ad @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 | ((c_Lattices_Oupper__semilattice__class_Osup @ v_ab @ X0 @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (
% 18.46/3.27 v_ab)))),
% 18.46/3.27 inference('sup-', [status(thm)], [zip_derived_cl2425, zip_derived_cl375])).
% 18.46/3.27 thf(zip_derived_cl374, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)) != (X0))
% 18.46/3.27 | (c_lessequals @ X1 @ X0 @ (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_subset__Un__eq_1])).
% 18.46/3.27 thf(zip_derived_cl3557, plain,
% 18.46/3.27 (![X0 : $i]:
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ v_ab @ X0 @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (
% 18.46/3.27 v_ab))
% 18.46/3.27 | ((c_Lattices_Oupper__semilattice__class_Osup @ X0 @ v_ad @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) != (
% 18.46/3.27 v_ad)))),
% 18.46/3.27 inference('sup+', [status(thm)], [zip_derived_cl3469, zip_derived_cl374])).
% 18.46/3.27 thf(zip_derived_cl3675, plain,
% 18.46/3.27 (![X0 : $i]:
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ v_ad @ X0 @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) != (
% 18.46/3.27 v_ad))
% 18.46/3.27 | ((c_Lattices_Oupper__semilattice__class_Osup @ v_ab @ X0 @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (
% 18.46/3.27 v_ab)))),
% 18.46/3.27 inference('sup-', [status(thm)], [zip_derived_cl411, zip_derived_cl3557])).
% 18.46/3.27 thf(zip_derived_cl411, plain,
% 18.46/3.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.46/3.27 ((c_Lattices_Oupper__semilattice__class_Osup @ X1 @ X0 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool))
% 18.46/3.27 = (c_Lattices_Oupper__semilattice__class_Osup @ X0 @ X1 @
% 18.46/3.27 (tc_fun @ X2 @ tc_bool)))),
% 18.46/3.27 inference('cnf', [status(esa)], [cls_Un__commute_0])).
% 18.46/3.27 thf(zip_derived_cl4007, plain,
% 18.46/3.27 (![X0 : $i]:
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ X0 @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (
% 18.46/3.27 v_ab))
% 18.46/3.27 | ((c_Lattices_Oupper__semilattice__class_Osup @ v_ad @ X0 @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) != (
% 18.46/3.27 v_ad)))),
% 18.46/3.27 inference('sup+', [status(thm)], [zip_derived_cl3675, zip_derived_cl411])).
% 18.46/3.27 thf(zip_derived_cl7198, plain,
% 18.46/3.27 ((((v_ad) != (v_ad))
% 18.46/3.27 | ((c_Lattices_Oupper__semilattice__class_Osup @ v_ae @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (
% 18.46/3.27 v_ab)))),
% 18.46/3.27 inference('sup-', [status(thm)], [zip_derived_cl7151, zip_derived_cl4007])).
% 18.46/3.27 thf(zip_derived_cl7208, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ v_ae @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)) = (v_ab))),
% 18.46/3.27 inference('simplify', [status(thm)], [zip_derived_cl7198])).
% 18.46/3.27 thf(zip_derived_cl11167, plain,
% 18.46/3.27 (((c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool))
% 18.46/3.27 != (c_Lattices_Oupper__semilattice__class_Osup @ v_x @ v_ab @
% 18.46/3.27 (tc_fun @ (tc_List_Olist @ tc_String_Ochar) @ tc_bool)))),
% 18.46/3.27 inference('demod', [status(thm)],
% 18.46/3.27 [zip_derived_cl11160, zip_derived_cl394, zip_derived_cl7208])).
% 18.46/3.27 thf(zip_derived_cl11168, plain, ($false),
% 18.46/3.27 inference('simplify', [status(thm)], [zip_derived_cl11167])).
% 18.46/3.27
% 18.46/3.27 % SZS output end Refutation
% 18.46/3.27
% 18.46/3.27
% 18.46/3.27 % Terminating...
% 19.18/3.35 % Runner terminated.
% 19.18/3.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------