TSTP Solution File: SWV733-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV733-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n009.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 21:14:36 EDT 2022
% Result : Unsatisfiable 99.85s 100.11s
% Output : Refutation 99.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV733-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 15 11:26:38 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.95/1.29 ============================== Prover9 ===============================
% 0.95/1.29 Prover9 (32) version 2009-11A, November 2009.
% 0.95/1.29 Process 22856 was started by sandbox on n009.cluster.edu,
% 0.95/1.29 Wed Jun 15 11:26:38 2022
% 0.95/1.29 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_22490_n009.cluster.edu".
% 0.95/1.29 ============================== end of head ===========================
% 0.95/1.29
% 0.95/1.29 ============================== INPUT =================================
% 0.95/1.29
% 0.95/1.29 % Reading from file /tmp/Prover9_22490_n009.cluster.edu
% 0.95/1.29
% 0.95/1.29 set(prolog_style_variables).
% 0.95/1.29 set(auto2).
% 0.95/1.29 % set(auto2) -> set(auto).
% 0.95/1.29 % set(auto) -> set(auto_inference).
% 0.95/1.29 % set(auto) -> set(auto_setup).
% 0.95/1.29 % set(auto_setup) -> set(predicate_elim).
% 0.95/1.29 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.95/1.29 % set(auto) -> set(auto_limits).
% 0.95/1.29 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.95/1.29 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.95/1.29 % set(auto) -> set(auto_denials).
% 0.95/1.29 % set(auto) -> set(auto_process).
% 0.95/1.29 % set(auto2) -> assign(new_constants, 1).
% 0.95/1.29 % set(auto2) -> assign(fold_denial_max, 3).
% 0.95/1.29 % set(auto2) -> assign(max_weight, "200.000").
% 0.95/1.29 % set(auto2) -> assign(max_hours, 1).
% 0.95/1.29 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.95/1.29 % set(auto2) -> assign(max_seconds, 0).
% 0.95/1.29 % set(auto2) -> assign(max_minutes, 5).
% 0.95/1.29 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.95/1.29 % set(auto2) -> set(sort_initial_sos).
% 0.95/1.29 % set(auto2) -> assign(sos_limit, -1).
% 0.95/1.29 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.95/1.29 % set(auto2) -> assign(max_megs, 400).
% 0.95/1.29 % set(auto2) -> assign(stats, some).
% 0.95/1.29 % set(auto2) -> clear(echo_input).
% 0.95/1.29 % set(auto2) -> set(quiet).
% 0.95/1.29 % set(auto2) -> clear(print_initial_clauses).
% 0.95/1.29 % set(auto2) -> clear(print_given).
% 0.95/1.29 assign(lrs_ticks,-1).
% 0.95/1.29 assign(sos_limit,10000).
% 0.95/1.29 assign(order,kbo).
% 0.95/1.29 set(lex_order_vars).
% 0.95/1.29 clear(print_given).
% 0.95/1.29
% 0.95/1.29 % formulas(sos). % not echoed (748 formulas)
% 0.95/1.29
% 0.95/1.29 ============================== end of input ==========================
% 0.95/1.29
% 0.95/1.29 % From the command line: assign(max_seconds, 300).
% 0.95/1.29
% 0.95/1.29 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.95/1.29
% 0.95/1.29 % Formulas that are not ordinary clauses:
% 0.95/1.29
% 0.95/1.29 ============================== end of process non-clausal formulas ===
% 0.95/1.29
% 0.95/1.29 ============================== PROCESS INITIAL CLAUSES ===============
% 0.95/1.29
% 0.95/1.29 ============================== PREDICATE ELIMINATION =================
% 0.95/1.29 1 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.95/1.29 2 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_inf__assoc_0) # label(axiom). [assumption].
% 0.95/1.29 3 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) = c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A) # label(cls_inf__left__commute_0) # label(axiom). [assumption].
% 0.95/1.29 4 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = B | -c_lessequals(B,C,A) # label(cls_le__iff__inf_0) # label(axiom). [assumption].
% 0.95/1.29 5 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) != B | c_lessequals(B,C,A) # label(cls_le__iff__inf_1) # label(axiom). [assumption].
% 0.95/1.29 6 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = C | -c_lessequals(C,B,A) # label(cls_inf__absorb2_0) # label(axiom). [assumption].
% 0.95/1.29 7 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = c_Lattices_Olower__semilattice__class_Oinf(C,B,A) # label(cls_inf__commute_0) # label(axiom). [assumption].
% 0.95/1.29 8 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_le__infE_0) # label(axiom). [assumption].
% 0.95/1.29 9 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A) # label(cls_le__infE_1) # label(axiom). [assumption].
% 0.95/1.29 10 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_lessequals(B,D,A) # label(cls_le__infI1_0) # label(axiom). [assumption].
% 0.95/1.29 11 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_lessequals(C,D,A) # label(cls_le__infI2_0) # label(axiom). [assumption].
% 0.95/1.29 12 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_inf__greatest_0) # label(axiom). [assumption].
% 0.95/1.29 13 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__inf__iff_2) # label(axiom). [assumption].
% 0.95/1.29 14 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__infI_0) # label(axiom). [assumption].
% 0.95/1.29 15 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A) # label(cls_inf__le2_0) # label(axiom). [assumption].
% 0.95/1.29 16 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A) # label(cls_inf__le1_0) # label(axiom). [assumption].
% 0.95/1.29 17 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A) = c_Lattices_Olower__semilattice__class_Oinf(B,C,A) # label(cls_inf__left__idem_0) # label(axiom). [assumption].
% 0.95/1.29 18 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,A) = B # label(cls_inf__idem_0) # label(axiom). [assumption].
% 0.95/1.29 19 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_le__inf__iff_0) # label(axiom). [assumption].
% 0.95/1.29 20 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A) # label(cls_le__inf__iff_1) # label(axiom). [assumption].
% 0.95/1.29 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,E,tc_fun(D,A)),tc_fun(D,A)). [resolve(1,a,2,a)].
% 0.95/1.29 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(E,A)),tc_fun(E,A)). [resolve(1,a,3,a)].
% 0.95/1.29 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = B | -c_lessequals(B,C,tc_fun(D,A)). [resolve(1,a,4,a)].
% 0.95/1.29 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) != B | c_lessequals(B,C,tc_fun(D,A)). [resolve(1,a,5,a)].
% 0.95/1.29 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = C | -c_lessequals(C,B,tc_fun(D,A)). [resolve(1,a,6,a)].
% 0.95/1.29 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_fun(D,A)). [resolve(1,a,7,a)].
% 0.95/1.29 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,E,tc_fun(D,A)),tc_fun(D,A)). [resolve(1,a,8,a)].
% 0.95/1.29 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(E,C,tc_fun(D,A)),tc_fun(D,A)). [resolve(1,a,9,a)].
% 0.95/1.29 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)). [resolve(1,a,10,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)). [resolve(1,a,11,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)). [resolve(1,a,12,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(1,a,15,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),B,tc_fun(D,A)). [resolve(1,a,16,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)). [resolve(1,a,17,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,tc_fun(C,A)) = B. [resolve(1,a,18,a)].
% 0.95/1.30 21 class_Lattices_Olower__semilattice(tc_nat) # label(clsarity_nat__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat). [resolve(21,a,2,a)].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_nat),tc_nat). [resolve(21,a,3,a)].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = A | -c_lessequals(A,B,tc_nat). [resolve(21,a,4,a)].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) != A | c_lessequals(A,B,tc_nat). [resolve(21,a,5,a)].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = B | -c_lessequals(B,A,tc_nat). [resolve(21,a,6,a)].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_nat). [resolve(21,a,7,a)].
% 0.95/1.30 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat). [resolve(21,a,8,a)].
% 0.95/1.30 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_nat),tc_nat). [resolve(21,a,9,a)].
% 0.95/1.30 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(21,a,10,a)].
% 0.95/1.30 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) | -c_lessequals(B,C,tc_nat). [resolve(21,a,11,a)].
% 0.95/1.30 Derived: c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(21,a,12,a)].
% 0.95/1.30 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),B,tc_nat). [resolve(21,a,15,a)].
% 0.95/1.30 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),A,tc_nat). [resolve(21,a,16,a)].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat). [resolve(21,a,17,a)].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_nat) = A. [resolve(21,a,18,a)].
% 0.95/1.30 22 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool). [resolve(22,a,2,a)].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_bool),tc_bool). [resolve(22,a,3,a)].
% 0.95/1.30 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = A | -c_lessequals(A,B,tc_bool). [resolve(22,a,4,a)].
% 0.95/1.34 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) != A | c_lessequals(A,B,tc_bool). [resolve(22,a,5,a)].
% 0.95/1.34 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = B | -c_lessequals(B,A,tc_bool). [resolve(22,a,6,a)].
% 0.95/1.34 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_bool). [resolve(22,a,7,a)].
% 0.95/1.34 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool). [resolve(22,a,8,a)].
% 0.95/1.34 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_bool),tc_bool). [resolve(22,a,9,a)].
% 0.95/1.34 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(22,a,10,a)].
% 0.95/1.34 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_lessequals(B,C,tc_bool). [resolve(22,a,11,a)].
% 0.95/1.34 Derived: c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(22,a,12,a)].
% 0.95/1.34 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),B,tc_bool). [resolve(22,a,15,a)].
% 0.95/1.34 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),A,tc_bool). [resolve(22,a,16,a)].
% 0.95/1.34 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool). [resolve(22,a,17,a)].
% 0.95/1.34 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_bool) = A. [resolve(22,a,18,a)].
% 0.95/1.34 23 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.34 24 -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].
% 0.95/1.34 25 -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].
% 0.95/1.34 26 -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].
% 0.95/1.34 27 -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].
% 0.95/1.34 28 -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].
% 0.95/1.34 29 -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].
% 0.95/1.34 30 -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].
% 0.95/1.34 31 -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].
% 0.95/1.34 32 -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].
% 0.95/1.34 33 -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].
% 0.95/1.34 34 -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].
% 0.95/1.34 35 -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].
% 0.95/1.34 36 -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].
% 0.95/1.34 37 -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].
% 0.95/1.34 38 -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].
% 0.95/1.34 39 -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].
% 0.95/1.34 40 -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].
% 0.95/1.34 41 -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].
% 0.95/1.34 42 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.95/1.34 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(23,a,24,a)].
% 0.95/1.34 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(23,a,25,a)].
% 0.95/1.34 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(23,a,26,a)].
% 0.95/1.34 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(23,a,29,a)].
% 0.95/1.34 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(23,a,30,a)].
% 0.95/1.34 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(23,a,31,a)].
% 0.95/1.34 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(23,a,32,a)].
% 0.95/1.34 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(23,a,33,a)].
% 0.95/1.34 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(23,a,34,a)].
% 0.95/1.34 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(23,a,35,a)].
% 0.95/1.34 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(23,a,38,a)].
% 0.95/1.34 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(23,a,39,a)].
% 0.95/1.34 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(23,a,40,a)].
% 0.95/1.35 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(23,a,41,a)].
% 0.95/1.35 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(23,a,42,a)].
% 0.95/1.35 43 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.35 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(43,a,24,a)].
% 0.95/1.35 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(43,a,25,a)].
% 0.95/1.35 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(43,a,26,a)].
% 0.95/1.35 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(43,a,29,a)].
% 0.95/1.35 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(43,a,30,a)].
% 0.95/1.35 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(43,a,31,a)].
% 0.95/1.35 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat). [resolve(43,a,32,a)].
% 0.95/1.35 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat). [resolve(43,a,33,a)].
% 0.95/1.35 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(43,a,34,a)].
% 0.95/1.35 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(43,a,35,a)].
% 0.95/1.35 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(43,a,38,a)].
% 0.95/1.35 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(43,a,39,a)].
% 0.95/1.35 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(43,a,40,a)].
% 0.95/1.35 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(43,a,41,a)].
% 0.95/1.35 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(43,a,42,a)].
% 0.95/1.35 44 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.35 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(44,a,24,a)].
% 0.95/1.35 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(44,a,25,a)].
% 0.95/1.35 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(44,a,26,a)].
% 0.95/1.35 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(44,a,29,a)].
% 0.95/1.35 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(44,a,30,a)].
% 0.95/1.35 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(44,a,31,a)].
% 0.95/1.35 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool). [resolve(44,a,32,a)].
% 0.95/1.35 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool). [resolve(44,a,33,a)].
% 0.95/1.35 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(44,a,34,a)].
% 1.66/1.91 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(44,a,35,a)].
% 1.66/1.91 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(44,a,38,a)].
% 1.66/1.91 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(44,a,39,a)].
% 1.66/1.91 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(44,a,40,a)].
% 1.66/1.91 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(44,a,41,a)].
% 1.66/1.91 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(44,a,42,a)].
% 1.66/1.91 45 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.66/1.91 46 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.66/1.91 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(45,a,46,a)].
% 1.66/1.91 47 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 1.66/1.91 48 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 1.66/1.91 Derived: A = A. [resolve(47,b,48,a)].
% 1.66/1.91
% 1.66/1.91 ============================== end predicate elimination =============
% 1.66/1.91
% 1.66/1.91 Auto_denials: (non-Horn, no changes).
% 1.66/1.91
% 1.66/1.91 Term ordering decisions:
% 1.66/1.91 Function symbol KB weights: tc_bool=1. tc_Message_Omsg=1. tc_nat=1. tc_Event_Oevent=1. c_Message_Omsg_OKey=1. c_Message_Oagent_OSpy=1. c_Public_OshrK=1. tc_Message_Oagent=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Message_Oagent_OServer=1. c_Message_OsymKeys=1. c_Event_Obad=1. v_X=1. v_evs=1. v_K=1. v_KAB=1. v_Kab=1. tc_fun=1. hAPP=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_Event_Oknows=1. c_List_Oset=1. c_Message_OHPair=1. c_Event_Oevent_ONotes=1. c_Message_Osko__Message__Xanalz__insert__eq__I__1__1=1. c_Message_Osko__Message__Xparts__insert__eq__I__1__1=1. c_Message_Osko__Message__Xparts__singleton__1__1=1. c_Message_Oanalz=1. c_Message_Oparts=1. c_Orderings_Obot__class_Obot=1. c_Message_Osynth=1. c_Orderings_Otop__class_Otop=1. c_Message_Omsg_ONonce=1. c_Message_Omsg_OAgent=1. c_Event_Oused=1. tc_List_Olist=1. c_Message_Omsg_OHash=1. c_Message_OinvKey=1. c_Message_OkeysFor=1. c_Public_OpublicKey=1. c_List_Olist_ONil=1. c_Event_OinitState=1. c_Set_Oinsert=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_HOL_Ominus__class_Ominus=1. c_Event_Oevent_OSays=1. c_List_Olist_OCons=1. c_COMBK=1. c_Set_Oimage=1. c_Set_Ovimage=1. c_Hilbert__Choice_Oinv__into=1. c_Fun_Othe__inv__into=1. c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1=1. c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1=1. c_ATP__Linkup_Osko__Set__XrangeE__1__1=1. c_Fun_Ofun__upd=1. c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2=1. c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2=1.
% 1.66/1.91
% 1.66/1.91 ============================== end of process initial clauses ========
% 1.66/1.91
% 1.66/1.91 ============================== CLAUSES FOR SEARCH ====================
% 1.66/1.91
% 1.66/1.91 ============================== end of clauses for search =============
% 1.66/1.91
% 1.66/1.91 ============================== SEARCH ================================
% 1.66/1.91
% 1.66/1.91 % Starting search at 0.28 seconds.
% 1.66/1.91
% 1.66/1.91 Low Water (keep): wt=54.000, iters=3522
% 1.66/1.91
% 1.66/1.91 Low Water (keep): wt=53.000, iters=3553
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% 1.66/1.91 Low Water (keep): wt=49.000, iters=3574
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% 1.66/1.91 Low Water (keep): wt=48.000, iters=3554
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% 1.66/1.91 Low Water (keep): wt=43.000, iters=3439
% 1.66/1.91
% 1.66/1.91 Low Water (keep): wt=42.000, iters=3428
% 1.66/1.91
% 1.66/1.91 Low Water (keep): wt=40.000, iters=3348
% 1.66/1.91
% 1.66/1.91 Low Water (keep): wt=39.000, iters=3409
% 1.66/1.91
% 1.66/1.91 Low Water (keep): wt=37.000, iters=3375
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=36.000, iters=3342
% 99.85/100.11
% 99.85/100.11 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 32 (0.00 of 0.74 sec).
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=35.000, iters=3399
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=33.000, iters=3400
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% 99.85/100.11 Low Water (keep): wt=32.000, iters=3396
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=31.000, iters=3397
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=30.000, iters=3335
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=29.000, iters=3384
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=28.000, iters=3378
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=27.000, iters=3406
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% 99.85/100.11 Low Water (keep): wt=26.000, iters=3340
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=25.000, iters=3420
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=23.000, iters=3359
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=22.000, iters=3352
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=21.000, iters=3342
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=20.000, iters=3368
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=19.000, iters=3371
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=18.000, iters=3336
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=17.000, iters=3341
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=16.000, iters=3345
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=15.000, iters=3344
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% 99.85/100.11 Low Water (keep): wt=14.000, iters=3372
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=13.000, iters=3333
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2224, wt=107.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2303, wt=105.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2004, wt=95.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2000, wt=93.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2027, wt=92.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=1964, wt=91.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=1841, wt=90.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2037, wt=89.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2029, wt=87.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2043, wt=86.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=1843, wt=85.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2003, wt=84.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2839, wt=82.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2026, wt=81.000
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% 99.85/100.11 Low Water (displace): id=2857, wt=80.000
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% 99.85/100.11 Low Water (displace): id=1966, wt=79.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2859, wt=78.000
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% 99.85/100.11 Low Water (displace): id=1997, wt=76.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2260, wt=75.000
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% 99.85/100.11 Low Water (displace): id=2285, wt=74.000
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% 99.85/100.11 Low Water (displace): id=1856, wt=73.000
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% 99.85/100.11 Low Water (displace): id=3324, wt=72.000
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% 99.85/100.11 Low Water (displace): id=3326, wt=70.000
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% 99.85/100.11 Low Water (displace): id=2293, wt=69.000
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% 99.85/100.11 Low Water (displace): id=1995, wt=68.000
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% 99.85/100.11 Low Water (displace): id=2007, wt=67.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=2844, wt=66.000
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% 99.85/100.11 Low Water (displace): id=1821, wt=65.000
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% 99.85/100.11 Low Water (displace): id=3391, wt=64.000
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% 99.85/100.11 Low Water (displace): id=1937, wt=63.000
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% 99.85/100.11 Low Water (displace): id=2969, wt=61.000
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% 99.85/100.11 Low Water (displace): id=2856, wt=60.000
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% 99.85/100.11 Low Water (displace): id=3476, wt=59.000
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% 99.85/100.11 Low Water (displace): id=3081, wt=58.000
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% 99.85/100.11 Low Water (displace): id=2373, wt=57.000
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% 99.85/100.11 Low Water (displace): id=3323, wt=56.000
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% 99.85/100.11 Low Water (displace): id=3999, wt=55.000
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% 99.85/100.11 Low Water (displace): id=3887, wt=54.000
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% 99.85/100.11 Low Water (displace): id=3016, wt=53.000
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% 99.85/100.11 Low Water (displace): id=2963, wt=52.000
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% 99.85/100.11 Low Water (displace): id=13563, wt=12.000
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% 99.85/100.11 Low Water (displace): id=13636, wt=11.000
% 99.85/100.11
% 99.85/100.11 Low Water (displace): id=16119, wt=10.000
% 99.85/100.11
% 99.85/100.11 Low Water (keep): wt=12.000, iters=3334
% 99.85/100.11
% 99.85/100.11 ============================== PROOF =================================
% 99.85/100.11 % SZS status Unsatisfiable
% 99.85/100.11 % SZS output start Refutation
% 99.85/100.11
% 99.85/100.11 % Proof 1 at 97.26 (+ 1.66) seconds.
% 99.85/100.11 % Length of proof is 28.
% 99.85/100.11 % Level of proof is 6.
% 99.85/100.11 % Maximum clause weight is 23.000.
% 99.85/100.11 % Given clauses 30355.
% 99.85/100.11
% 99.85/100.11 104 c_List_Oset(c_List_Olist_ONil(A),A) = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) # label(cls_set__empty_1) # label(axiom). [assumption].
% 99.85/100.11 105 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = c_List_Oset(c_List_Olist_ONil(A),A). [copy(104),flip(a)].
% 99.85/100.11 235 c_List_Oset(c_List_Olist_OCons(A,B,C),C) = c_Set_Oinsert(A,c_List_Oset(B,C),C) # label(cls_List_Oset_Osimps_I2_J_0) # label(axiom). [assumption].
% 99.85/100.11 236 c_Set_Oinsert(A,c_List_Oset(B,C),C) = c_List_Oset(c_List_Olist_OCons(A,B,C),C). [copy(235),flip(a)].
% 99.85/100.11 600 c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)) = c_Set_Oinsert(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),D) # label(cls_Un__insert__right_0) # label(axiom). [assumption].
% 99.85/100.11 607 c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)) = A # label(cls_Un__empty__right_0) # label(axiom). [assumption].
% 99.85/100.11 682 c_in(A,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) | -c_in(D,c_Message_Oparts(C),tc_Message_Omsg) | -c_in(A,c_Message_Oparts(c_Set_Oinsert(D,B,tc_Message_Omsg)),tc_Message_Omsg) # label(cls_parts__cut_0) # label(axiom). [assumption].
% 99.85/100.11 722 c_in(A,c_Message_Oparts(B),tc_Message_Omsg) | -c_in(A,B,tc_Message_Omsg) # label(cls_parts_OInj_0) # label(axiom). [assumption].
% 99.85/100.11 723 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 99.85/100.11 727 c_Message_Oparts(c_Set_Oinsert(A,B,tc_Message_Omsg)) = c_Message_Oparts(B) | -c_in(A,c_Message_Oparts(B),tc_Message_Omsg) # label(cls_parts__cut__eq_0) # label(axiom). [assumption].
% 99.85/100.11 740 c_in(A,c_Message_Oparts(B),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oparts(B),tc_Message_Omsg) # label(cls_parts_OBody_0) # label(axiom). [assumption].
% 99.85/100.11 754 c_in(A,B,C) | -hBOOL(hAPP(B,A)) # label(cls_mem__def_1) # label(axiom). [assumption].
% 99.85/100.11 755 hBOOL(hAPP(A,B)) | -c_in(B,A,C) # label(cls_mem__def_0) # label(axiom). [assumption].
% 99.85/100.11 777 c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 99.85/100.11 778 c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 99.85/100.11 779 c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_List_Oset(c_List_Olist_OCons(v_X,c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg). [copy(778),rewrite([105(8),236(10)])].
% 99.85/100.11 780 -c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 99.85/100.11 3550 c_Lattices_Oupper__semilattice__class_Osup(A,c_List_Oset(c_List_Olist_OCons(B,C,D),D),tc_fun(D,tc_bool)) = c_Set_Oinsert(B,c_Lattices_Oupper__semilattice__class_Osup(A,c_List_Oset(C,D),tc_fun(D,tc_bool)),D). [para(236(a,1),600(a,1,2))].
% 99.85/100.11 3598 c_Lattices_Oupper__semilattice__class_Osup(A,c_List_Oset(c_List_Olist_ONil(B),B),tc_fun(B,tc_bool)) = A. [para(105(a,1),607(a,1,2))].
% 99.85/100.11 4847 c_in(A,c_Set_Oinsert(A,B,C),D). [resolve(754,b,723,a)].
% 99.85/100.11 5063 c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg). [resolve(777,a,740,b)].
% 99.85/100.11 5094 c_in(A,c_Message_Oparts(c_Set_Oinsert(v_X,B,tc_Message_Omsg)),tc_Message_Omsg) | -c_in(A,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),B,tc_Message_Omsg)),tc_Message_Omsg). [resolve(779,a,682,b),rewrite([3550(11),3598(9)])].
% 99.85/100.11 7080 c_in(A,c_Message_Oparts(c_Set_Oinsert(A,B,C)),tc_Message_Omsg). [resolve(4847,a,722,b)].
% 99.85/100.11 7118 c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)). [resolve(5063,a,727,b)].
% 99.85/100.11 10002 hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(A,B,C)),A)). [resolve(7080,a,755,b)].
% 99.85/100.11 11358 c_in(A,c_Message_Oparts(c_Set_Oinsert(A,B,C)),D). [resolve(10002,a,754,b)].
% 99.85/100.11 116780 c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,A,tc_Message_Omsg)),tc_Message_Omsg). [resolve(5094,b,11358,a)].
% 99.85/100.11 116788 $F. [para(7118(a,1),116780(a,2)),unit_del(a,780)].
% 99.85/100.11
% 99.85/100.11 % SZS output end Refutation
% 99.85/100.11 ============================== end of proof ==========================
% 99.85/100.11
% 99.85/100.11 ============================== STATISTICS ============================
% 99.85/100.11
% 99.85/100.11 Given=30355. Generated=3221639. Kept=116579. proofs=1.
% 99.85/100.11 Usable=29644. Sos=9819. Demods=1518. Limbo=6, Disabled=77950. Hints=0.
% 99.85/100.11 Megabytes=84.35.
% 99.85/100.11 User_CPU=97.26, System_CPU=1.66, Wall_clock=99.
% 99.85/100.11
% 99.85/100.11 ============================== end of statistics =====================
% 99.85/100.11
% 99.85/100.11 ============================== end of search =========================
% 99.85/100.11
% 99.85/100.11 THEOREM PROVED
% 99.85/100.11 % SZS status Unsatisfiable
% 99.85/100.11
% 99.85/100.11 Exiting with 1 proof.
% 99.85/100.11
% 99.85/100.11 Process 22856 exit (max_proofs) Wed Jun 15 11:28:17 2022
% 99.85/100.11 Prover9 interrupted
%------------------------------------------------------------------------------