TSTP Solution File: SWV811-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV811-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 21:14:54 EDT 2022
% Result : Unsatisfiable 0.99s 1.29s
% Output : Refutation 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV811-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n022.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 : Wed Jun 15 00:52:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.95/1.22 ============================== Prover9 ===============================
% 0.95/1.22 Prover9 (32) version 2009-11A, November 2009.
% 0.95/1.22 Process 27927 was started by sandbox2 on n022.cluster.edu,
% 0.95/1.22 Wed Jun 15 00:52:33 2022
% 0.95/1.22 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27774_n022.cluster.edu".
% 0.95/1.22 ============================== end of head ===========================
% 0.95/1.22
% 0.95/1.22 ============================== INPUT =================================
% 0.95/1.22
% 0.95/1.22 % Reading from file /tmp/Prover9_27774_n022.cluster.edu
% 0.95/1.22
% 0.95/1.22 set(prolog_style_variables).
% 0.95/1.22 set(auto2).
% 0.95/1.22 % set(auto2) -> set(auto).
% 0.95/1.22 % set(auto) -> set(auto_inference).
% 0.95/1.22 % set(auto) -> set(auto_setup).
% 0.95/1.22 % set(auto_setup) -> set(predicate_elim).
% 0.95/1.22 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.95/1.22 % set(auto) -> set(auto_limits).
% 0.95/1.22 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.95/1.22 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.95/1.22 % set(auto) -> set(auto_denials).
% 0.95/1.22 % set(auto) -> set(auto_process).
% 0.95/1.22 % set(auto2) -> assign(new_constants, 1).
% 0.95/1.22 % set(auto2) -> assign(fold_denial_max, 3).
% 0.95/1.22 % set(auto2) -> assign(max_weight, "200.000").
% 0.95/1.22 % set(auto2) -> assign(max_hours, 1).
% 0.95/1.22 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.95/1.22 % set(auto2) -> assign(max_seconds, 0).
% 0.95/1.22 % set(auto2) -> assign(max_minutes, 5).
% 0.95/1.22 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.95/1.22 % set(auto2) -> set(sort_initial_sos).
% 0.95/1.22 % set(auto2) -> assign(sos_limit, -1).
% 0.95/1.22 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.95/1.22 % set(auto2) -> assign(max_megs, 400).
% 0.95/1.22 % set(auto2) -> assign(stats, some).
% 0.95/1.22 % set(auto2) -> clear(echo_input).
% 0.95/1.22 % set(auto2) -> set(quiet).
% 0.95/1.22 % set(auto2) -> clear(print_initial_clauses).
% 0.95/1.22 % set(auto2) -> clear(print_given).
% 0.95/1.22 assign(lrs_ticks,-1).
% 0.95/1.22 assign(sos_limit,10000).
% 0.95/1.22 assign(order,kbo).
% 0.95/1.22 set(lex_order_vars).
% 0.95/1.22 clear(print_given).
% 0.95/1.22
% 0.95/1.22 % formulas(sos). % not echoed (556 formulas)
% 0.95/1.22
% 0.95/1.22 ============================== end of input ==========================
% 0.95/1.22
% 0.95/1.22 % From the command line: assign(max_seconds, 300).
% 0.95/1.22
% 0.95/1.22 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.95/1.22
% 0.95/1.22 % Formulas that are not ordinary clauses:
% 0.95/1.22
% 0.95/1.22 ============================== end of process non-clausal formulas ===
% 0.95/1.22
% 0.95/1.22 ============================== PROCESS INITIAL CLAUSES ===============
% 0.95/1.22
% 0.95/1.22 ============================== PREDICATE ELIMINATION =================
% 0.95/1.22 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.22 2 -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].
% 0.95/1.22 3 -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].
% 0.95/1.22 4 -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].
% 0.95/1.22 5 -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].
% 0.95/1.22 6 -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].
% 0.95/1.22 7 -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].
% 0.95/1.22 8 -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].
% 0.95/1.22 9 -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].
% 0.95/1.22 10 -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].
% 0.95/1.22 11 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.95/1.22 12 -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].
% 0.95/1.22 13 -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].
% 0.95/1.22 14 -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].
% 0.95/1.22 15 -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].
% 0.95/1.22 16 -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].
% 0.95/1.22 17 -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].
% 0.95/1.22 18 -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].
% 0.95/1.22 19 -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].
% 0.95/1.22 20 -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].
% 0.95/1.22 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(1,a,2,a)].
% 0.95/1.22 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(1,a,3,a)].
% 0.95/1.22 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(1,a,4,a)].
% 0.95/1.22 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(1,a,6,a)].
% 0.95/1.22 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(1,a,7,a)].
% 0.95/1.22 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(1,a,9,a)].
% 0.95/1.22 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(1,a,10,a)].
% 0.95/1.22 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,11,a)].
% 0.95/1.22 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(1,a,12,a)].
% 0.95/1.22 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(1,a,13,a)].
% 0.95/1.22 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(1,a,14,a)].
% 0.95/1.22 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(1,a,15,a)].
% 0.95/1.22 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(1,a,16,a)].
% 0.95/1.22 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(1,a,17,a)].
% 0.95/1.22 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(1,a,18,a)].
% 0.95/1.22 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.22 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(21,a,2,a)].
% 0.95/1.22 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,3,a)].
% 0.95/1.22 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(21,a,4,a)].
% 0.95/1.22 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,6,a)].
% 0.95/1.22 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,7,a)].
% 0.95/1.22 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(21,a,9,a)].
% 0.95/1.22 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(21,a,10,a)].
% 0.95/1.22 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,11,a)].
% 0.95/1.22 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,12,a)].
% 0.95/1.22 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,13,a)].
% 0.95/1.22 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,14,a)].
% 0.95/1.22 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat). [resolve(21,a,15,a)].
% 0.95/1.22 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat). [resolve(21,a,16,a)].
% 0.95/1.22 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(21,a,17,a)].
% 0.95/1.22 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(21,a,18,a)].
% 0.95/1.22 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.22 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(22,a,2,a)].
% 0.95/1.22 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(22,a,3,a)].
% 0.95/1.22 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(22,a,4,a)].
% 0.95/1.22 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,6,a)].
% 0.95/1.24 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,7,a)].
% 0.95/1.24 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(22,a,9,a)].
% 0.95/1.24 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(22,a,10,a)].
% 0.95/1.24 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,11,a)].
% 0.95/1.24 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,12,a)].
% 0.95/1.24 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,13,a)].
% 0.95/1.24 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,14,a)].
% 0.95/1.24 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool). [resolve(22,a,15,a)].
% 0.95/1.24 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool). [resolve(22,a,16,a)].
% 0.95/1.24 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(22,a,17,a)].
% 0.95/1.24 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(22,a,18,a)].
% 0.95/1.24 23 c_NS__Shared__Mirabelle_OIssues(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),E) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(A,c_Event_Obad,tc_Message_Oagent) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(B),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,C),V6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) # label(cls_A__authenticates__and__keydist__to__B_0) # label(axiom). [assumption].
% 0.95/1.24 24 c_in(c_Event_Oevent_OSays(A,B,v_sko__NS__Shared__Mirabelle__XIssues__def__1(A,B,C,D)),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent) | -c_NS__Shared__Mirabelle_OIssues(A,B,C,D) # label(cls_Issues__def_0) # label(axiom). [assumption].
% 0.95/1.24 Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(C),c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,D),F)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(V6)),A)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent). [resolve(23,a,24,b)].
% 0.95/1.24 25 c_in(A,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,D),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_NS__Shared__Mirabelle_OIssues(B,C,A,D) # label(cls_Issues__def_1) # label(axiom). [assumption].
% 0.95/1.24 Derived: c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(C,D,c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),E),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(D,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),V6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg). [resolve(25,b,23,a)].
% 0.95/1.24 26 c_NS__Shared__Mirabelle_OIssues(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D)),E) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(A,c_Event_Obad,tc_Message_Oagent) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,C),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(A,B,c_Message_Omsg_OCrypt(C,c_Message_Omsg_ONonce(D))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent) # label(cls_B__Issues__A_0) # label(axiom). [assumption].
% 0.95/1.24 Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),A)),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent). [resolve(26,a,24,b)].
% 0.95/1.24 Derived: -c_in(A,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(B,c_Event_Obad,tc_Message_Oagent) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,D),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E))),c_List_Oset(A,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,c_Message_Omsg_OCrypt(D,c_Message_Omsg_ONonce(E)),A),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg). [resolve(26,a,25,b)].
% 0.95/1.24 27 c_NS__Shared__Mirabelle_OIssues(A,B,C,D) | c_in(C,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(A,B,E),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(D,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(C,c_Message_Oparts(c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(A,B,E),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent) # label(cls_Issues__def_3) # label(axiom). [assumption].
% 0.95/1.24 Derived: c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,D),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(E,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(A,c_Message_Oparts(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,D),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,E)),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent). [resolve(27,a,24,b)].
% 0.95/1.24 Derived: c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,D),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(E,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(A,c_Message_Oparts(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,D),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent) | c_in(A,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,E),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg). [resolve(27,a,25,b)].
% 0.99/1.26 28 -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,D)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(D,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_NS__Shared__Mirabelle_OIssues(B,C,A,D) # label(cls_Issues__def_2) # label(axiom). [assumption].
% 0.99/1.26 Derived: -c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(C,D,v_sko__NS__Shared__Mirabelle__XIssues__def__1(C,D,c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),E)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(E,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(D,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(D),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(C),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,A),V6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg). [resolve(28,b,23,a)].
% 0.99/1.26 Derived: -c_in(c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(C,D,v_sko__NS__Shared__Mirabelle__XIssues__def__1(C,D,c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B)),E)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(E,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(C,c_Event_Obad,tc_Message_Oagent) | c_in(D,c_Event_Obad,tc_Message_Oagent) | c_in(hAPP(c_Message_Omsg_OKey,A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(C,D,c_Message_Omsg_OCrypt(A,c_Message_Omsg_ONonce(B))),c_List_Oset(E,tc_Event_Oevent),tc_Event_Oevent). [resolve(28,b,26,a)].
% 0.99/1.26 Derived: -c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,v_sko__NS__Shared__Mirabelle__XIssues__def__1(B,C,A,D)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(D,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(B,C,E),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(D,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) | -c_in(A,c_Message_Oparts(c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(B,C,E),c_List_Oset(D,tc_Event_Oevent),tc_Event_Oevent). [resolve(28,b,27,a)].
% 0.99/1.26 29 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.99/1.29 30 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.99/1.29 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(29,a,30,a)].
% 0.99/1.29
% 0.99/1.29 ============================== end predicate elimination =============
% 0.99/1.29
% 0.99/1.29 Auto_denials: (non-Horn, no changes).
% 0.99/1.29
% 0.99/1.29 Term ordering decisions:
% 0.99/1.29 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. c_Message_Omsg_OKey=1. c_Message_Oagent_OSpy=1. tc_nat=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Event_Obad=1. tc_Message_Oagent=1. c_Message_Oagent_OServer=1. c_Message_OsymKeys=1. c_Not=1. v_NB=1. v_K=1. v_A=1. v_B=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_List_Orev=1. c_Event_Oevent_ONotes=1. c_Event_Oevent_OGets=1. c_Public_OpublicKey=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2=1. c_Message_Oanalz=1. c_Message_Oparts=1. c_Message_Omsg_ONonce=1. c_Message_Osynth=1. c_Orderings_Obot__class_Obot=1. c_Message_Omsg_OAgent=1. c_List_Olist_ONil=1. c_Public_OshrK=1. tc_List_Olist=1. c_Event_Oused=1. c_Message_OinvKey=1. c_fequal=1. c_Event_OinitState=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Set_Oinsert=1. c_Event_Oevent_OSays=1. c_List_Olist_OCons=1. c_List_Oappend=1. c_List_OtakeWhile=1. c_List_Osko__List__XtakeWhile__eq__all__conv__1__1=1. c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1=1. v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1=1. v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1=1. v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1=1. v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1=1. c_Set_Oimage=1. v_sko__NS__Shared__Mirabelle__XIssues__def__1=1. c_List_Osko__List__XtakeWhile__cong__1__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1=1. c_COMBB=1. c_COMBC=1.
% 0.99/1.29
% 0.99/1.29 ============================== PROOF =================================
% 0.99/1.29 % SZS status Unsatisfiable
% 0.99/1.29 % SZS output start Refutation
% 0.99/1.29
% 0.99/1.29 % Proof 1 at 0.14 (+ 0.00) seconds.
% 0.99/1.29 % Length of proof is 9.
% 0.99/1.29 % Level of proof is 3.
% 0.99/1.29 % Maximum clause weight is 10.000.
% 0.99/1.29 % Given clauses 0.
% 0.99/1.29
% 0.99/1.29 352 c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(A) # label(cls_knows__Nil_0) # label(axiom). [assumption].
% 0.99/1.29 353 c_Event_OinitState(A) = c_Event_Oknows(A,c_List_Olist_ONil(tc_Event_Oevent)). [copy(352),flip(a)].
% 0.99/1.29 458 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_OinitState(C)),tc_Message_Omsg) # label(cls_Crypt__notin__initState_0) # label(axiom). [assumption].
% 0.99/1.29 459 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Oparts(c_Event_Oknows(C,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg). [copy(458),rewrite([353(2)])].
% 0.99/1.29 498 c_List_Olist_ONil(A) = c_List_Orev(c_List_Olist_ONil(A),A) # label(cls_Nil__is__rev__conv_1) # label(axiom). [assumption].
% 0.99/1.29 499 c_List_Orev(c_List_Olist_ONil(A),A) = c_List_Olist_ONil(A). [copy(498),flip(a)].
% 0.99/1.29 507 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].
% 0.99/1.29 559 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 0.99/1.29 560 $F. [copy(559),rewrite([499(33),507(33)]),unit_del(a,459)].
% 0.99/1.29
% 0.99/1.29 % SZS output end Refutation
% 0.99/1.29 ============================== end of proof ==========================
% 0.99/1.29
% 0.99/1.29 ============================== STATISTICS ============================
% 0.99/1.29
% 0.99/1.29 Given=0. Generated=505. Kept=398. proofs=1.
% 0.99/1.29 Usable=0. Sos=0. Demods=63. Limbo=398, Disabled=535. Hints=0.
% 0.99/1.29 Megabytes=1.21.
% 0.99/1.29 User_CPU=0.14, System_CPU=0.00, Wall_clock=1.
% 0.99/1.29
% 0.99/1.29 ============================== end of statistics =====================
% 0.99/1.29
% 0.99/1.29 ============================== end of search =========================
% 0.99/1.29
% 0.99/1.29 THEOREM PROVED
% 0.99/1.29 % SZS status Unsatisfiable
% 0.99/1.29
% 0.99/1.29 Exiting with 1 proof.
% 0.99/1.29
% 0.99/1.29 Process 27927 exit (max_proofs) Wed Jun 15 00:52:34 2022
% 0.99/1.29 Prover9 interrupted
%------------------------------------------------------------------------------