TSTP Solution File: SWV781-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV781-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% 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 : 600s
% DateTime : Wed Jul 20 21:14:47 EDT 2022
% Result : Unsatisfiable 0.98s 1.26s
% Output : Refutation 0.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV781-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 18:48:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.93/1.18 ============================== Prover9 ===============================
% 0.93/1.18 Prover9 (32) version 2009-11A, November 2009.
% 0.93/1.18 Process 10032 was started by sandbox on n026.cluster.edu,
% 0.93/1.18 Tue Jun 14 18:48:37 2022
% 0.93/1.18 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9879_n026.cluster.edu".
% 0.93/1.18 ============================== end of head ===========================
% 0.93/1.18
% 0.93/1.18 ============================== INPUT =================================
% 0.93/1.18
% 0.93/1.18 % Reading from file /tmp/Prover9_9879_n026.cluster.edu
% 0.93/1.18
% 0.93/1.18 set(prolog_style_variables).
% 0.93/1.18 set(auto2).
% 0.93/1.18 % set(auto2) -> set(auto).
% 0.93/1.18 % set(auto) -> set(auto_inference).
% 0.93/1.18 % set(auto) -> set(auto_setup).
% 0.93/1.18 % set(auto_setup) -> set(predicate_elim).
% 0.93/1.18 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.93/1.18 % set(auto) -> set(auto_limits).
% 0.93/1.18 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.93/1.18 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.93/1.18 % set(auto) -> set(auto_denials).
% 0.93/1.18 % set(auto) -> set(auto_process).
% 0.93/1.18 % set(auto2) -> assign(new_constants, 1).
% 0.93/1.18 % set(auto2) -> assign(fold_denial_max, 3).
% 0.93/1.18 % set(auto2) -> assign(max_weight, "200.000").
% 0.93/1.18 % set(auto2) -> assign(max_hours, 1).
% 0.93/1.18 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.93/1.18 % set(auto2) -> assign(max_seconds, 0).
% 0.93/1.18 % set(auto2) -> assign(max_minutes, 5).
% 0.93/1.18 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.93/1.18 % set(auto2) -> set(sort_initial_sos).
% 0.93/1.18 % set(auto2) -> assign(sos_limit, -1).
% 0.93/1.18 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.93/1.18 % set(auto2) -> assign(max_megs, 400).
% 0.93/1.18 % set(auto2) -> assign(stats, some).
% 0.93/1.18 % set(auto2) -> clear(echo_input).
% 0.93/1.18 % set(auto2) -> set(quiet).
% 0.93/1.18 % set(auto2) -> clear(print_initial_clauses).
% 0.93/1.18 % set(auto2) -> clear(print_given).
% 0.93/1.18 assign(lrs_ticks,-1).
% 0.93/1.18 assign(sos_limit,10000).
% 0.93/1.18 assign(order,kbo).
% 0.93/1.18 set(lex_order_vars).
% 0.93/1.18 clear(print_given).
% 0.93/1.18
% 0.93/1.18 % formulas(sos). % not echoed (545 formulas)
% 0.93/1.18
% 0.93/1.18 ============================== end of input ==========================
% 0.93/1.18
% 0.93/1.18 % From the command line: assign(max_seconds, 300).
% 0.93/1.18
% 0.93/1.18 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.93/1.18
% 0.93/1.18 % Formulas that are not ordinary clauses:
% 0.93/1.18
% 0.93/1.18 ============================== end of process non-clausal formulas ===
% 0.93/1.18
% 0.93/1.18 ============================== PROCESS INITIAL CLAUSES ===============
% 0.93/1.18
% 0.93/1.18 ============================== PREDICATE ELIMINATION =================
% 0.93/1.18 1 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.93/1.18 2 -class_Orderings_Olinorder(A) | c_List_Oset(B,A) != c_List_Oset(C,A) | -c_List_Odistinct(C,A) | -c_List_Olinorder__class_Osorted(C,A) | -c_List_Odistinct(B,A) | -c_List_Olinorder__class_Osorted(B,A) | B = C # label(cls_sorted__distinct__set__unique_0) # label(axiom). [assumption].
% 0.93/1.18 3 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | -c_in(C,c_List_Oset(D,A),A) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,D,A),A) # label(cls_sorted__Cons_1) # label(axiom). [assumption].
% 0.93/1.18 4 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | -c_in(C,c_List_Oset(D,A),A) | -c_in(B,c_List_Oset(E,A),A) | -c_List_Olinorder__class_Osorted(c_List_Oappend(E,D,A),A) # label(cls_sorted__append_2) # label(axiom). [assumption].
% 0.93/1.18 5 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,A),A) | c_in(c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1(B,C,A),c_List_Oset(C,A),A) | -c_List_Olinorder__class_Osorted(C,A) # label(cls_sorted__Cons_2) # label(axiom). [assumption].
% 0.93/1.18 6 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_OdropWhile(B,C,A),A) | -c_List_Olinorder__class_Osorted(C,A) # label(cls_sorted__dropWhile_0) # label(axiom). [assumption].
% 0.93/1.18 7 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),tc_fun(A,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(B,D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I17_J_0) # label(axiom). [assumption].
% 0.93/1.18 8 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_ONil(A),A),A) # label(cls_sorted_Osimps_I2_J_0) # label(axiom). [assumption].
% 0.93/1.18 9 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(A),A) # label(cls_sorted_Osimps_I1_J_0) # label(axiom). [assumption].
% 0.93/1.18 10 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThan(C,A),tc_fun(A,tc_bool)) = c_SetInterval_Oord__class_OatLeast(B,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I13_J_0) # label(axiom). [assumption].
% 0.93/1.18 11 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),tc_fun(A,tc_bool)) = c_SetInterval_Oord__class_OatMost(C,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I10_J_0) # label(axiom). [assumption].
% 0.93/1.18 12 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeast(C,A),tc_fun(A,tc_bool)) = c_SetInterval_Oord__class_OatLeast(B,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I14_J_0) # label(axiom). [assumption].
% 0.93/1.18 13 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),tc_fun(A,tc_bool)) = c_SetInterval_Oord__class_OlessThan(C,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I8_J_0) # label(axiom). [assumption].
% 0.93/1.18 14 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,A),A) | -c_lessequals(B,c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1(B,C,A),A) | -c_List_Olinorder__class_Osorted(C,A) # label(cls_sorted__Cons_3) # label(axiom). [assumption].
% 0.93/1.18 15 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),tc_fun(A,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(B,D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I21_J_0) # label(axiom). [assumption].
% 0.93/1.19 16 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(B,A) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(C,B,A),A) # label(cls_sorted__Cons_0) # label(axiom). [assumption].
% 0.93/1.19 17 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,A),A) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(D,c_List_Olist_OCons(B,C,A),A),A) # label(cls_sorted_Osimps_I3_J_1) # label(axiom). [assumption].
% 0.93/1.19 18 -class_Orderings_Olinorder(A) | c_SetInterval_Oord__class_OlessThan(B,A) != c_SetInterval_Oord__class_OlessThan(C,A) | B = C # label(cls_lessThan__eq__iff_0) # label(axiom). [assumption].
% 0.93/1.19 19 -class_Orderings_Olinorder(A) | c_SetInterval_Oord__class_OgreaterThan(B,A) != c_SetInterval_Oord__class_OgreaterThan(C,A) | B = C # label(cls_greaterThan__eq__iff_0) # label(axiom). [assumption].
% 0.93/1.19 20 -class_Orderings_Olinorder(A) | c_SetInterval_Oord__class_OatLeast(B,A) != c_SetInterval_Oord__class_OatLeast(C,A) | B = C # label(cls_atLeast__eq__iff_0) # label(axiom). [assumption].
% 0.93/1.19 21 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_OCons(C,D,A),A),A) # label(cls_sorted_Osimps_I3_J_0) # label(axiom). [assumption].
% 0.93/1.19 22 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_OCons(C,D,A),A),A) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(C,D,A),A) | -c_lessequals(B,C,A) # label(cls_sorted_Osimps_I3_J_2) # label(axiom). [assumption].
% 0.93/1.19 23 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(B,A) | -c_List_Olinorder__class_Osorted(c_List_Oappend(B,C,A),A) # label(cls_sorted__append_0) # label(axiom). [assumption].
% 0.93/1.19 24 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(B,A) | -c_List_Olinorder__class_Osorted(c_List_Oappend(C,B,A),A) # label(cls_sorted__append_1) # label(axiom). [assumption].
% 0.93/1.19 25 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Oremdups(B,A),A) | -c_List_Olinorder__class_Osorted(B,A) # label(cls_sorted__remdups_0) # label(axiom). [assumption].
% 0.93/1.19 26 -class_Orderings_Olinorder(A) | c_SetInterval_Oord__class_OatMost(B,A) != c_SetInterval_Oord__class_OatMost(C,A) | B = C # label(cls_atMost__eq__iff_0) # label(axiom). [assumption].
% 0.93/1.19 27 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Oremove1(B,C,A),A) | -c_List_Olinorder__class_Osorted(C,A) # label(cls_sorted__remove1_0) # label(axiom). [assumption].
% 0.93/1.19 28 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_OtakeWhile(B,C,A),A) | -c_List_Olinorder__class_Osorted(C,A) # label(cls_sorted__takeWhile_0) # label(axiom). [assumption].
% 0.93/1.19 29 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | -c_lessequals(c_SetInterval_Oord__class_OgreaterThan(C,A),c_SetInterval_Oord__class_OgreaterThan(B,A),tc_fun(A,tc_bool)) # label(cls_greaterThan__subset__iff_0) # label(axiom). [assumption].
% 0.93/1.19 30 -class_Orderings_Olinorder(A) | c_lessequals(c_SetInterval_Oord__class_OgreaterThan(B,A),c_SetInterval_Oord__class_OgreaterThan(C,A),tc_fun(A,tc_bool)) | -c_lessequals(C,B,A) # label(cls_greaterThan__subset__iff_1) # label(axiom). [assumption].
% 0.93/1.19 31 -class_Orderings_Olinorder(A) | c_lessequals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool)) | -c_lessequals(B,C,A) # label(cls_lessThan__subset__iff_1) # label(axiom). [assumption].
% 0.93/1.19 32 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | -c_lessequals(c_SetInterval_Oord__class_OlessThan(B,A),c_SetInterval_Oord__class_OlessThan(C,A),tc_fun(A,tc_bool)) # label(cls_lessThan__subset__iff_0) # label(axiom). [assumption].
% 0.93/1.19 33 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(D,C,A) | -c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),c_SetInterval_Oord__class_OatLeastLessThan(B,E,A),tc_fun(A,tc_bool)) # label(cls_atLeastLessThan__subset__iff_0) # label(axiom). [assumption].
% 0.93/1.19 34 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(B,D,A) | -c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(D,B,A),c_SetInterval_Oord__class_OatLeastLessThan(E,C,A),tc_fun(A,tc_bool)) # label(cls_atLeastLessThan__subset__iff_1) # label(axiom). [assumption].
% 0.93/1.19 35 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.93/1.19 Derived: c_List_Oset(A,tc_nat) != c_List_Oset(B,tc_nat) | -c_List_Odistinct(B,tc_nat) | -c_List_Olinorder__class_Osorted(B,tc_nat) | -c_List_Odistinct(A,tc_nat) | -c_List_Olinorder__class_Osorted(A,tc_nat) | A = B. [resolve(1,a,2,a)].
% 0.93/1.19 Derived: c_lessequals(A,B,tc_nat) | -c_in(B,c_List_Oset(C,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,C,tc_nat),tc_nat). [resolve(1,a,3,a)].
% 0.93/1.19 Derived: c_lessequals(A,B,tc_nat) | -c_in(B,c_List_Oset(C,tc_nat),tc_nat) | -c_in(A,c_List_Oset(D,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Oappend(D,C,tc_nat),tc_nat). [resolve(1,a,4,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,B,tc_nat),tc_nat) | c_in(c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1(A,B,tc_nat),c_List_Oset(B,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(B,tc_nat). [resolve(1,a,5,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(c_List_OdropWhile(A,B,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(B,tc_nat). [resolve(1,a,6,a)].
% 0.93/1.19 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(B,C,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(A,C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,7,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,c_List_Olist_ONil(tc_nat),tc_nat),tc_nat). [resolve(1,a,8,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(c_List_Olist_ONil(tc_nat),tc_nat). [resolve(1,a,9,a)].
% 0.93/1.19 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(A,B,tc_nat),c_SetInterval_Oord__class_OgreaterThan(B,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeast(A,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,10,a)].
% 0.93/1.19 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(A,tc_nat),c_SetInterval_Oord__class_OatLeastAtMost(A,B,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatMost(B,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,11,a)].
% 0.93/1.19 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat),c_SetInterval_Oord__class_OatLeast(B,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeast(A,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,12,a)].
% 0.93/1.19 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(A,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OlessThan(B,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,13,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,B,tc_nat),tc_nat) | -c_lessequals(A,c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1(A,B,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(B,tc_nat). [resolve(1,a,14,a)].
% 0.93/1.19 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat),c_SetInterval_Oord__class_OatLeastAtMost(B,C,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(A,C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,15,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(A,tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,A,tc_nat),tc_nat). [resolve(1,a,16,a)].
% 0.93/1.19 Derived: c_SetInterval_Oord__class_OlessThan(A,tc_nat) != c_SetInterval_Oord__class_OlessThan(B,tc_nat) | A = B. [resolve(1,a,18,a)].
% 0.93/1.19 Derived: c_SetInterval_Oord__class_OgreaterThan(A,tc_nat) != c_SetInterval_Oord__class_OgreaterThan(B,tc_nat) | A = B. [resolve(1,a,19,a)].
% 0.93/1.19 Derived: c_SetInterval_Oord__class_OatLeast(A,tc_nat) != c_SetInterval_Oord__class_OatLeast(B,tc_nat) | A = B. [resolve(1,a,20,a)].
% 0.93/1.19 Derived: c_lessequals(A,B,tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,c_List_Olist_OCons(B,C,tc_nat),tc_nat),tc_nat). [resolve(1,a,21,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,c_List_Olist_OCons(B,C,tc_nat),tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,22,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(A,tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Oappend(A,B,tc_nat),tc_nat). [resolve(1,a,23,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(A,tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Oappend(B,A,tc_nat),tc_nat). [resolve(1,a,24,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(c_List_Oremdups(A,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(A,tc_nat). [resolve(1,a,25,a)].
% 0.93/1.19 Derived: c_SetInterval_Oord__class_OatMost(A,tc_nat) != c_SetInterval_Oord__class_OatMost(B,tc_nat) | A = B. [resolve(1,a,26,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(c_List_Oremove1(A,B,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(B,tc_nat). [resolve(1,a,27,a)].
% 0.93/1.19 Derived: c_List_Olinorder__class_Osorted(c_List_OtakeWhile(A,B,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(B,tc_nat). [resolve(1,a,28,a)].
% 0.93/1.19 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_SetInterval_Oord__class_OgreaterThan(B,tc_nat),c_SetInterval_Oord__class_OgreaterThan(A,tc_nat),tc_fun(tc_nat,tc_bool)). [resolve(1,a,29,a)].
% 0.93/1.19 Derived: c_lessequals(c_SetInterval_Oord__class_OgreaterThan(A,tc_nat),c_SetInterval_Oord__class_OgreaterThan(B,tc_nat),tc_fun(tc_nat,tc_bool)) | -c_lessequals(B,A,tc_nat). [resolve(1,a,30,a)].
% 0.93/1.19 Derived: c_lessequals(c_SetInterval_Oord__class_OlessThan(A,tc_nat),c_SetInterval_Oord__class_OlessThan(B,tc_nat),tc_fun(tc_nat,tc_bool)) | -c_lessequals(A,B,tc_nat). [resolve(1,a,31,a)].
% 0.93/1.19 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_SetInterval_Oord__class_OlessThan(A,tc_nat),c_SetInterval_Oord__class_OlessThan(B,tc_nat),tc_fun(tc_nat,tc_bool)). [resolve(1,a,32,a)].
% 0.95/1.20 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(C,B,tc_nat) | -c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(B,C,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(A,D,tc_nat),tc_fun(tc_nat,tc_bool)). [resolve(1,a,33,a)].
% 0.95/1.20 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(A,C,tc_nat) | -c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(C,A,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(D,B,tc_nat),tc_fun(tc_nat,tc_bool)). [resolve(1,a,34,a)].
% 0.95/1.20 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(1,a,35,a)].
% 0.95/1.20 36 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.20 37 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A) # label(cls_sup__left__commute_0) # label(axiom). [assumption].
% 0.95/1.20 38 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = c_Lattices_Oupper__semilattice__class_Osup(C,B,A) # label(cls_sup__commute_0) # label(axiom). [assumption].
% 0.95/1.20 39 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) = c_Lattices_Oupper__semilattice__class_Osup(B,C,A) # label(cls_sup__left__idem_0) # label(axiom). [assumption].
% 0.95/1.20 40 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__supE_0) # label(axiom). [assumption].
% 0.95/1.20 41 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__supE_1) # label(axiom). [assumption].
% 0.95/1.20 42 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom). [assumption].
% 0.95/1.20 43 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom). [assumption].
% 0.95/1.20 44 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__sup__iff_0) # label(axiom). [assumption].
% 0.95/1.20 45 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__sup__iff_1) # label(axiom). [assumption].
% 0.95/1.20 46 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom). [assumption].
% 0.95/1.20 47 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) != C | c_lessequals(B,C,A) # label(cls_le__iff__sup_1) # label(axiom). [assumption].
% 0.95/1.20 48 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom). [assumption].
% 0.95/1.20 49 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__supI_0) # label(axiom). [assumption].
% 0.95/1.20 50 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) # label(cls_sup__ge1_0) # label(axiom). [assumption].
% 0.95/1.20 51 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A) # label(cls_sup__ge2_0) # label(axiom). [assumption].
% 0.95/1.20 52 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_sup__least_0) # label(axiom). [assumption].
% 0.95/1.20 53 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__sup__iff_2) # label(axiom). [assumption].
% 0.95/1.20 54 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) # label(cls_sup__assoc_0) # label(axiom). [assumption].
% 0.95/1.20 55 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(E,A)),tc_fun(E,A)). [resolve(36,a,37,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)). [resolve(36,a,38,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)). [resolve(36,a,39,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(36,a,40,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(36,a,41,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)). [resolve(36,a,42,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)). [resolve(36,a,43,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = C | -c_lessequals(B,C,tc_fun(D,A)). [resolve(36,a,46,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) != C | c_lessequals(B,C,tc_fun(D,A)). [resolve(36,a,47,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = B | -c_lessequals(C,B,tc_fun(D,A)). [resolve(36,a,48,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)). [resolve(36,a,49,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)). [resolve(36,a,50,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)),tc_fun(D,A)). [resolve(36,a,51,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,E,tc_fun(D,A)),tc_fun(D,A)). [resolve(36,a,54,a)].
% 0.95/1.20 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(36,a,55,a)].
% 0.95/1.20 56 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.20 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),tc_nat). [resolve(56,a,37,a)].
% 0.95/1.20 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(56,a,38,a)].
% 0.95/1.20 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat). [resolve(56,a,39,a)].
% 0.95/1.21 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat). [resolve(56,a,40,a)].
% 0.95/1.21 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat). [resolve(56,a,41,a)].
% 0.95/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(56,a,42,a)].
% 0.95/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(56,a,43,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(56,a,46,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(56,a,47,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(56,a,48,a)].
% 0.95/1.21 Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(56,a,49,a)].
% 0.95/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(56,a,50,a)].
% 0.95/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(56,a,51,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat). [resolve(56,a,54,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(56,a,55,a)].
% 0.95/1.21 57 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),tc_bool). [resolve(57,a,37,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(57,a,38,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool). [resolve(57,a,39,a)].
% 0.95/1.21 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool). [resolve(57,a,40,a)].
% 0.95/1.21 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool). [resolve(57,a,41,a)].
% 0.95/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(57,a,42,a)].
% 0.95/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(57,a,43,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(57,a,46,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(57,a,47,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(57,a,48,a)].
% 0.95/1.21 Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) | -c_lessequals(B,C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(57,a,49,a)].
% 0.95/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(57,a,50,a)].
% 0.95/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(57,a,51,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool). [resolve(57,a,54,a)].
% 0.95/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(57,a,55,a)].
% 0.98/1.26 58 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 0.98/1.26 59 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 0.98/1.26 Derived: A = A. [resolve(58,b,59,a)].
% 0.98/1.26
% 0.98/1.26 ============================== end predicate elimination =============
% 0.98/1.26
% 0.98/1.26 Auto_denials: (non-Horn, no changes).
% 0.98/1.26
% 0.98/1.26 Term ordering decisions:
% 0.98/1.26 Function symbol KB weights: tc_bool=1. tc_nat=1. tc_Message_Omsg=1. c_Message_Oagent_OSpy=1. t_a=1. tc_Event_Oevent=1. c_Message_Oagent_OServer=1. t_b=1. c_Event_Obad=1. tc_Message_Oagent=1. v_P=1. tc_fun=1. hAPP=1. c_List_Oset=1. c_Event_Oknows=1. c_List_Orev=1. c_Nat_Osize__class_Osize=1. c_List_Oremdups=1. c_List_Obutlast=1. c_Event_Oevent_ONotes=1. c_Event_Oevent_OGets=1. c_SetInterval_Oord__class_OatLeast=1. c_List_Olast=1. c_List_Orotate1=1. c_SetInterval_Oord__class_OatMost=1. c_SetInterval_Oord__class_OlessThan=1. c_SetInterval_Oord__class_OgreaterThan=1. c_COMBI=1. c_List_Olist_ONil=1. c_Message_Oanalz=1. c_Message_Oparts=1. c_Message_Osynth=1. tc_List_Olist=1. c_Message_Oagent_OFriend=1. c_Event_Oused=1. c_Event_OinitState=1. v_sko__List__Xconcat__Xinduct__2=1. v_sko__List__Xdistinct__Xinduct__2=1. v_sko__List__Xlist__Xinduct__2=1. v_sko__List__Xmap__Xinduct__2=1. v_sko__List__Xremove1__Xinduct__2=1. c_Message_Osko__Message__Xagent__Xexhaust__1__1=1. c_Message_Osko__Message__Xagent__Xnchotomy__1__1=1. v_sko__List__Xconcat__Xinduct__1=1. v_sko__List__Xdistinct__Xinduct__1=1. v_sko__List__Xlist__Xinduct__1=1. v_sko__List__Xmap__Xinduct__1=1. v_sko__List__Xremove1__Xinduct__1=1. v_sko__Message__Xagent__Xinduct__1=1. v_sko__Message__Xagent__Xinducts__1=1. v_sko__Public__XinitState__Xinduct__1=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_List_Olist_OCons=1. c_List_Oappend=1. c_Set_Oinsert=1. c_List_Ofilter=1. c_List_OtakeWhile=1. c_List_Oreplicate=1. c_List_Oremove1=1. c_Event_Oevent_OSays=1. c_List_OdropWhile=1. c_SetInterval_Oord__class_OatLeastAtMost=1. c_List_Orotate=1. c_SetInterval_Oord__class_OatLeastLessThan=1. v_sko__Message__Xagent__Xsplit__1=1. v_sko__Message__Xagent__Xsplit__asm__1=1. c_List_Osko__List__XCons__eq__filter__iff__1__3=1. c_List_Osko__List__Xfilter__eq__Cons__iff__1__3=1. c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1=1. c_List_Osko__List__XtakeWhile__eq__all__conv__1__1=1. c_List_Omap=1. c_List_Olist__update=1. c_Message_Osko__Message__Xagent__Xcase__cong__1__1=1. c_List_Osko__List__XtakeWhile__cong__1__1=1. c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1=1. c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1=1. c_List_Ofiltermap=1. c_Message_Oagent_Oagent__case=1. c_Map_Omap__upds=1. c_List_Olist_Olist__case=1. c_List_Osko__List__XCons__eq__append__conv__1__1=1. c_List_Osko__List__Xappend__eq__Cons__conv__1__1=1. c_Message_Oagent_Oagent__rec=1.
% 0.98/1.26
% 0.98/1.26 ============================== PROOF =================================
% 0.98/1.26 % SZS status Unsatisfiable
% 0.98/1.26 % SZS output start Refutation
% 0.98/1.26
% 0.98/1.26 % Proof 1 at 0.14 (+ 0.01) seconds.
% 0.98/1.26 % Length of proof is 4.
% 0.98/1.26 % Level of proof is 1.
% 0.98/1.26 % Maximum clause weight is 8.000.
% 0.98/1.26 % Given clauses 0.
% 0.98/1.26
% 0.98/1.26 598 c_lessequals(A,A,tc_fun(B,tc_bool)) # label(cls_subset__refl_0) # label(axiom). [assumption].
% 0.98/1.26 601 c_List_OtakeWhile(A,c_List_Olist_ONil(B),B) = c_List_Olist_ONil(B) # label(cls_takeWhile_Osimps_I1_J_0) # label(axiom). [assumption].
% 0.98/1.26 605 -c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.98/1.26 606 $F. [copy(605),rewrite([601(6)]),unit_del(a,598)].
% 0.98/1.26
% 0.98/1.26 % SZS output end Refutation
% 0.98/1.26 ============================== end of proof ==========================
% 0.98/1.26
% 0.98/1.26 ============================== STATISTICS ============================
% 0.98/1.26
% 0.98/1.26 Given=0. Generated=474. Kept=404. proofs=1.
% 0.98/1.26 Usable=0. Sos=0. Demods=91. Limbo=404, Disabled=533. Hints=0.
% 0.98/1.26 Megabytes=1.43.
% 0.98/1.26 User_CPU=0.14, System_CPU=0.01, Wall_clock=0.
% 0.98/1.26
% 0.98/1.26 ============================== end of statistics =====================
% 0.98/1.26
% 0.98/1.26 ============================== end of search =========================
% 0.98/1.26
% 0.98/1.26 THEOREM PROVED
% 0.98/1.26 % SZS status Unsatisfiable
% 0.98/1.26
% 0.98/1.26 Exiting with 1 proof.
% 0.98/1.26
% 0.98/1.26 Process 10032 exit (max_proofs) Tue Jun 14 18:48:37 2022
% 0.98/1.26 Prover9 interrupted
%------------------------------------------------------------------------------