TSTP Solution File: SWV791-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV791-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 21:14:49 EDT 2022
% Result : Unsatisfiable 23.71s 23.99s
% Output : Refutation 23.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV791-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 03:58:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.96/1.27 ============================== Prover9 ===============================
% 0.96/1.27 Prover9 (32) version 2009-11A, November 2009.
% 0.96/1.27 Process 27207 was started by sandbox on n003.cluster.edu,
% 0.96/1.27 Thu Jun 16 03:58:12 2022
% 0.96/1.27 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26857_n003.cluster.edu".
% 0.96/1.27 ============================== end of head ===========================
% 0.96/1.27
% 0.96/1.27 ============================== INPUT =================================
% 0.96/1.27
% 0.96/1.27 % Reading from file /tmp/Prover9_26857_n003.cluster.edu
% 0.96/1.27
% 0.96/1.27 set(prolog_style_variables).
% 0.96/1.27 set(auto2).
% 0.96/1.27 % set(auto2) -> set(auto).
% 0.96/1.27 % set(auto) -> set(auto_inference).
% 0.96/1.27 % set(auto) -> set(auto_setup).
% 0.96/1.27 % set(auto_setup) -> set(predicate_elim).
% 0.96/1.27 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.96/1.27 % set(auto) -> set(auto_limits).
% 0.96/1.27 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.96/1.27 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.96/1.27 % set(auto) -> set(auto_denials).
% 0.96/1.27 % set(auto) -> set(auto_process).
% 0.96/1.27 % set(auto2) -> assign(new_constants, 1).
% 0.96/1.27 % set(auto2) -> assign(fold_denial_max, 3).
% 0.96/1.27 % set(auto2) -> assign(max_weight, "200.000").
% 0.96/1.27 % set(auto2) -> assign(max_hours, 1).
% 0.96/1.27 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.96/1.27 % set(auto2) -> assign(max_seconds, 0).
% 0.96/1.27 % set(auto2) -> assign(max_minutes, 5).
% 0.96/1.27 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.96/1.27 % set(auto2) -> set(sort_initial_sos).
% 0.96/1.27 % set(auto2) -> assign(sos_limit, -1).
% 0.96/1.27 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.96/1.27 % set(auto2) -> assign(max_megs, 400).
% 0.96/1.27 % set(auto2) -> assign(stats, some).
% 0.96/1.27 % set(auto2) -> clear(echo_input).
% 0.96/1.27 % set(auto2) -> set(quiet).
% 0.96/1.27 % set(auto2) -> clear(print_initial_clauses).
% 0.96/1.27 % set(auto2) -> clear(print_given).
% 0.96/1.27 assign(lrs_ticks,-1).
% 0.96/1.27 assign(sos_limit,10000).
% 0.96/1.27 assign(order,kbo).
% 0.96/1.27 set(lex_order_vars).
% 0.96/1.27 clear(print_given).
% 0.96/1.27
% 0.96/1.27 % formulas(sos). % not echoed (606 formulas)
% 0.96/1.27
% 0.96/1.27 ============================== end of input ==========================
% 0.96/1.27
% 0.96/1.27 % From the command line: assign(max_seconds, 300).
% 0.96/1.27
% 0.96/1.27 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.96/1.27
% 0.96/1.27 % Formulas that are not ordinary clauses:
% 0.96/1.27
% 0.96/1.27 ============================== end of process non-clausal formulas ===
% 0.96/1.27
% 0.96/1.27 ============================== PROCESS INITIAL CLAUSES ===============
% 0.96/1.27
% 0.96/1.27 ============================== PREDICATE ELIMINATION =================
% 0.96/1.27 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 11 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,11,a)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,6,a)].
% 0.96/1.27 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,7,a)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,11,a)].
% 0.96/1.27 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,12,a)].
% 0.96/1.27 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,13,a)].
% 0.96/1.27 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,14,a)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 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)].
% 0.96/1.27 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,6,a)].
% 0.96/1.29 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,7,a)].
% 0.96/1.29 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)].
% 0.96/1.29 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)].
% 0.96/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,11,a)].
% 0.96/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,12,a)].
% 0.96/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,13,a)].
% 0.96/1.29 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,14,a)].
% 0.96/1.29 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)].
% 0.96/1.29 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)].
% 0.96/1.29 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)].
% 0.96/1.29 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)].
% 0.96/1.29 23 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].
% 0.96/1.29 24 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].
% 0.96/1.29 25 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].
% 0.96/1.29 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(23,a,24,b)].
% 0.96/1.29 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(23,a,25,b)].
% 1.59/1.86 26 -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].
% 1.59/1.86 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(26,b,23,a)].
% 1.59/1.86 27 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.59/1.86 28 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.59/1.86 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(27,a,28,a)].
% 1.59/1.86
% 1.59/1.86 ============================== end predicate elimination =============
% 1.59/1.86
% 1.59/1.86 Auto_denials: (non-Horn, no changes).
% 1.59/1.86
% 1.59/1.86 Term ordering decisions:
% 1.59/1.86 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. c_Message_Oagent_OSpy=1. tc_nat=1. c_Public_OshrK=1. tc_Message_Oagent=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. c_Message_OsymKeys=1. c_Not=1. v_Aa=1. v_Ba=1. v_X=1. v_evs3=1. v_NA=1. v_A=1. v_B=1. v_K=1. v_Ka=1. v_Nb=1. v_S=1. tc_fun=1. c_Message_Omsg_OMPair=1. hAPP=1. c_Event_Oknows=1. c_Message_Omsg_OCrypt=1. c_List_Oset=1. c_List_Orev=1. c_Event_Oevent_ONotes=1. c_Event_Oevent_OGets=1. c_List_Otl=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_OKey=1. c_Message_Osynth=1. c_Message_Omsg_OAgent=1. c_Orderings_Obot__class_Obot=1. c_List_Olist_ONil=1. c_Message_Omsg_ONonce=1. tc_List_Olist=1. c_Event_Oused=1. c_Orderings_Otop__class_Otop=1. c_Message_OinvKey=1. c_Public_OpublicKey=1. c_Message_OkeysFor=1. c_fequal=1. c_Set_Oinsert=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_List_Olist_OCons=1. c_List_Oappend=1. c_Event_Oevent_OSays=1. c_List_OtakeWhile=1. c_List_OdropWhile=1. c_List_Osko__List__Xsplit__list__first__prop__iff__1__5=1. c_List_Osko__List__Xsplit__list__last__prop__iff__1__5=1. c_List_Osko__List__XtakeWhile__append2__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. v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1=1. c_COMBB=1. c_COMBC=1.
% 1.59/1.86
% 1.59/1.86 ============================== end of process initial clauses ========
% 1.59/1.86
% 1.59/1.86 ============================== CLAUSES FOR SEARCH ====================
% 1.59/1.86
% 1.59/1.86 ============================== end of clauses for search =============
% 1.59/1.86
% 1.59/1.86 ============================== SEARCH ================================
% 1.59/1.86
% 1.59/1.86 % Starting search at 0.18 seconds.
% 1.59/1.86
% 1.59/1.86 Low Water (keep): wt=40.000, iters=3400
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=39.000, iters=3380
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% 23.71/23.99 Low Water (keep): wt=37.000, iters=3336
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% 23.71/23.99 Low Water (keep): wt=35.000, iters=3359
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% 23.71/23.99 Low Water (keep): wt=34.000, iters=3354
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% 23.71/23.99 Low Water (keep): wt=33.000, iters=3385
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% 23.71/23.99 Low Water (keep): wt=32.000, iters=3354
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% 23.71/23.99 Low Water (keep): wt=31.000, iters=3358
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% 23.71/23.99 Low Water (keep): wt=30.000, iters=3354
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% 23.71/23.99 Low Water (keep): wt=29.000, iters=3334
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% 23.71/23.99 Low Water (keep): wt=28.000, iters=3350
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% 23.71/23.99 Low Water (keep): wt=27.000, iters=3380
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% 23.71/23.99 Low Water (keep): wt=26.000, iters=3381
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% 23.71/23.99 Low Water (keep): wt=25.000, iters=3379
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=24.000, iters=3353
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=23.000, iters=3334
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=22.000, iters=3345
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=21.000, iters=3337
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=20.000, iters=3334
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=19.000, iters=3433
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=18.000, iters=3354
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=17.000, iters=3335
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=16.000, iters=3378
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=15.000, iters=3333
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=14.000, iters=3335
% 23.71/23.99
% 23.71/23.99 Low Water (keep): wt=13.000, iters=3333
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=2507, wt=121.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=2506, wt=117.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=2520, wt=110.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=11231, wt=47.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=15645, wt=44.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=10980, wt=41.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=9892, wt=38.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=2176, wt=37.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=15082, wt=35.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=11233, wt=33.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=19737, wt=32.000
% 23.71/23.99
% 23.71/23.99 Low Water (displace): id=19929, wt=12.000
% 23.71/23.99
% 23.71/23.99 ============================== PROOF =================================
% 23.71/23.99 % SZS status Unsatisfiable
% 23.71/23.99 % SZS output start Refutation
% 23.71/23.99
% 23.71/23.99 % Proof 1 at 22.41 (+ 0.37) seconds.
% 23.71/23.99 % Length of proof is 19.
% 23.71/23.99 % Level of proof is 4.
% 23.71/23.99 % Maximum clause weight is 39.000.
% 23.71/23.99 % Given clauses 12944.
% 23.71/23.99
% 23.71/23.99 444 c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg) | -c_in(c_Event_Oevent_OSays(C,D,A),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent) # label(cls_Says__imp__parts__knows__Spy_0) # label(axiom). [assumption].
% 23.71/23.99 513 A = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(C),c_Message_Omsg_OAgent(D))) | -c_in(E,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) | c_in(D,c_Event_Obad,tc_Message_Oagent) | -c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,D),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(C),A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg) # label(cls_cert__A__form_1) # label(axiom). [assumption].
% 23.71/23.99 514 c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(B),c_Message_Omsg_OAgent(C))) = D | -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(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(F,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(B),D)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,E)),tc_Message_Omsg). [copy(513),flip(a)].
% 23.71/23.99 532 c_Message_Omsg_ONonce(A) != c_Message_Omsg_OMPair(B,C) # label(cls_msg_Osimps_I34_J_0) # label(axiom). [assumption].
% 23.71/23.99 542 c_in(A,B,C) | -hBOOL(hAPP(B,A)) # label(cls_mem__def_1) # label(axiom). [assumption].
% 23.71/23.99 543 hBOOL(hAPP(A,B)) | -c_in(B,A,C) # label(cls_mem__def_0) # label(axiom). [assumption].
% 23.71/23.99 548 c_Message_Omsg_OCrypt(A,B) != c_Message_Omsg_OCrypt(C,D) | B = D # label(cls_msg_Osimps_I7_J_1) # label(axiom). [assumption].
% 23.71/23.99 594 -c_in(v_B,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 23.71/23.99 595 c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 23.71/23.99 597 c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 23.71/23.99 600 v_B = v_Aa # label(cls_conjecture_7) # label(negated_conjecture). [assumption].
% 23.71/23.99 602 c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X # label(cls_conjecture_9) # label(negated_conjecture). [assumption].
% 23.71/23.99 701 -c_in(v_Aa,c_Event_Obad,tc_Message_Oagent). [back_rewrite(594),rewrite([600(1)])].
% 23.71/23.99 2581 hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs3)). [resolve(595,a,543,b)].
% 23.71/23.99 2598 c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg). [resolve(597,a,444,b)].
% 23.71/23.99 2661 c_Message_Omsg_OCrypt(A,B) != v_X | c_Message_Omsg_ONonce(v_Nb) = B. [para(602(a,1),548(a,1)),flip(a)].
% 23.71/23.99 2885 c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,A). [resolve(2581,a,542,b)].
% 23.71/23.99 36306 c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X. [resolve(2598,a,514,d),unit_del(b,2885),unit_del(c,701)].
% 23.71/23.99 36723 $F. [resolve(36306,a,2661,a),flip(a),unit_del(a(flip),532)].
% 23.71/23.99
% 23.71/23.99 % SZS output end Refutation
% 23.71/23.99 ============================== end of proof ==========================
% 23.71/23.99
% 23.71/23.99 ============================== STATISTICS ============================
% 23.71/23.99
% 23.71/23.99 Given=12944. Generated=605529. Kept=36560. proofs=1.
% 23.71/23.99 Usable=10137. Sos=9999. Demods=1056. Limbo=0, Disabled=17079. Hints=0.
% 23.71/23.99 Megabytes=36.77.
% 23.71/23.99 User_CPU=22.41, System_CPU=0.37, Wall_clock=23.
% 23.71/23.99
% 23.71/23.99 ============================== end of statistics =====================
% 23.71/23.99
% 23.71/23.99 ============================== end of search =========================
% 23.71/23.99
% 23.71/23.99 THEOREM PROVED
% 23.71/23.99 % SZS status Unsatisfiable
% 23.71/23.99
% 23.71/23.99 Exiting with 1 proof.
% 23.71/23.99
% 23.71/23.99 Process 27207 exit (max_proofs) Thu Jun 16 03:58:35 2022
% 23.71/23.99 Prover9 interrupted
%------------------------------------------------------------------------------