TSTP Solution File: SWV752-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV752-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n016.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 21:14:41 EDT 2022
% Result : Unsatisfiable 10.28s 10.54s
% Output : Refutation 10.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV752-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 02:05:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.92/1.25 ============================== Prover9 ===============================
% 0.92/1.25 Prover9 (32) version 2009-11A, November 2009.
% 0.92/1.25 Process 4889 was started by sandbox2 on n016.cluster.edu,
% 0.92/1.25 Wed Jun 15 02:05:32 2022
% 0.92/1.25 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_4631_n016.cluster.edu".
% 0.92/1.25 ============================== end of head ===========================
% 0.92/1.25
% 0.92/1.25 ============================== INPUT =================================
% 0.92/1.25
% 0.92/1.25 % Reading from file /tmp/Prover9_4631_n016.cluster.edu
% 0.92/1.25
% 0.92/1.25 set(prolog_style_variables).
% 0.92/1.25 set(auto2).
% 0.92/1.25 % set(auto2) -> set(auto).
% 0.92/1.25 % set(auto) -> set(auto_inference).
% 0.92/1.25 % set(auto) -> set(auto_setup).
% 0.92/1.25 % set(auto_setup) -> set(predicate_elim).
% 0.92/1.25 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.92/1.25 % set(auto) -> set(auto_limits).
% 0.92/1.25 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.92/1.25 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.92/1.25 % set(auto) -> set(auto_denials).
% 0.92/1.25 % set(auto) -> set(auto_process).
% 0.92/1.25 % set(auto2) -> assign(new_constants, 1).
% 0.92/1.25 % set(auto2) -> assign(fold_denial_max, 3).
% 0.92/1.25 % set(auto2) -> assign(max_weight, "200.000").
% 0.92/1.25 % set(auto2) -> assign(max_hours, 1).
% 0.92/1.25 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.92/1.25 % set(auto2) -> assign(max_seconds, 0).
% 0.92/1.25 % set(auto2) -> assign(max_minutes, 5).
% 0.92/1.25 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.92/1.25 % set(auto2) -> set(sort_initial_sos).
% 0.92/1.25 % set(auto2) -> assign(sos_limit, -1).
% 0.92/1.25 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.92/1.25 % set(auto2) -> assign(max_megs, 400).
% 0.92/1.25 % set(auto2) -> assign(stats, some).
% 0.92/1.25 % set(auto2) -> clear(echo_input).
% 0.92/1.25 % set(auto2) -> set(quiet).
% 0.92/1.25 % set(auto2) -> clear(print_initial_clauses).
% 0.92/1.25 % set(auto2) -> clear(print_given).
% 0.92/1.25 assign(lrs_ticks,-1).
% 0.92/1.25 assign(sos_limit,10000).
% 0.92/1.25 assign(order,kbo).
% 0.92/1.25 set(lex_order_vars).
% 0.92/1.25 clear(print_given).
% 0.92/1.25
% 0.92/1.25 % formulas(sos). % not echoed (579 formulas)
% 0.92/1.25
% 0.92/1.25 ============================== end of input ==========================
% 0.92/1.25
% 0.92/1.25 % From the command line: assign(max_seconds, 300).
% 0.92/1.25
% 0.92/1.25 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.92/1.25
% 0.92/1.25 % Formulas that are not ordinary clauses:
% 0.92/1.25
% 0.92/1.25 ============================== end of process non-clausal formulas ===
% 0.92/1.25
% 0.92/1.25 ============================== PROCESS INITIAL CLAUSES ===============
% 0.92/1.25
% 0.92/1.25 ============================== PREDICATE ELIMINATION =================
% 0.92/1.25 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.92/1.25 2 -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].
% 0.92/1.25 3 -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].
% 0.92/1.25 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__supI_0) # label(axiom). [assumption].
% 0.92/1.25 5 -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].
% 0.92/1.25 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].
% 0.92/1.25 7 -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].
% 0.92/1.25 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__sup__iff_2) # label(axiom). [assumption].
% 0.92/1.25 9 -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].
% 0.92/1.25 10 -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].
% 0.92/1.25 11 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.92/1.25 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].
% 0.92/1.25 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].
% 0.92/1.25 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].
% 0.92/1.25 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].
% 0.92/1.25 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].
% 0.92/1.25 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].
% 0.92/1.25 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].
% 0.92/1.25 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].
% 0.92/1.25 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].
% 0.92/1.25 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,2,a)].
% 0.92/1.25 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,3,a)].
% 0.92/1.25 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)].
% 0.92/1.25 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,5,a)].
% 0.92/1.25 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)].
% 0.92/1.25 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,9,a)].
% 0.92/1.25 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,10,a)].
% 0.92/1.25 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,11,a)].
% 0.92/1.25 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)].
% 0.92/1.25 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)].
% 0.92/1.25 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)].
% 0.92/1.25 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)].
% 0.92/1.25 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)].
% 0.92/1.25 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)].
% 0.92/1.25 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)].
% 0.92/1.25 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.92/1.25 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,2,a)].
% 0.92/1.25 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,3,a)].
% 0.92/1.25 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)].
% 0.92/1.25 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,5,a)].
% 0.92/1.25 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,6,a)].
% 0.92/1.25 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,9,a)].
% 0.92/1.25 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,10,a)].
% 0.92/1.25 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,11,a)].
% 0.92/1.25 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,12,a)].
% 0.92/1.25 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,13,a)].
% 0.92/1.25 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,14,a)].
% 0.92/1.25 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)].
% 0.92/1.25 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)].
% 0.92/1.25 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)].
% 0.92/1.25 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)].
% 0.92/1.25 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.92/1.25 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,2,a)].
% 0.92/1.25 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,3,a)].
% 0.92/1.25 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)].
% 0.92/1.36 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,5,a)].
% 0.92/1.36 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,6,a)].
% 0.92/1.36 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(22,a,9,a)].
% 0.92/1.36 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,10,a)].
% 0.92/1.36 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,11,a)].
% 0.92/1.36 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,12,a)].
% 0.92/1.36 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,13,a)].
% 0.92/1.36 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,14,a)].
% 0.92/1.36 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)].
% 0.92/1.36 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)].
% 0.92/1.36 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)].
% 0.92/1.36 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)].
% 0.92/1.36 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.92/1.36 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.92/1.36 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 0.92/1.36 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 0.92/1.36 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 0.92/1.36 Derived: A = A. [resolve(25,b,26,a)].
% 0.92/1.36
% 0.92/1.36 ============================== end predicate elimination =============
% 0.92/1.36
% 0.92/1.36 Auto_denials: (non-Horn, no changes).
% 0.92/1.36
% 0.92/1.36 Term ordering decisions:
% 0.92/1.36 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. tc_nat=1. c_Message_Omsg_OKey=1. c_Message_Oagent_OSpy=1. c_Public_OshrK=1. tc_Message_Oagent=1. t_a=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Message_OinvKey=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. c_Message_OsymKeys=1. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=1. v_evs=1. v_A=1. v_B=1. v_K=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_HOL_Ouminus__class_Ouminus=1. c_Event_Oevent_ONotes=1. c_List_Olists=1. c_Event_Oevent_OGets=1. v_sko__List__Xlists__Xinduct__2=1. v_sko__List__Xlists__Xinducts__2=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1=1. v_sko__List__Xlists__Xcases__1=1. v_sko__List__Xlists__Xcases__2=1. v_sko__List__Xlists__Xinduct__1=1. v_sko__List__Xlists__Xinducts__1=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2=1. c_Message_Oanalz=1. c_Message_Oparts=1. c_Message_Osynth=1. c_Orderings_Obot__class_Obot=1. c_Message_Omsg_OAgent=1. tc_List_Olist=1. c_Message_Omsg_ONonce=1. c_Orderings_Otop__class_Otop=1. c_Public_OpublicKey=1. c_Event_Oused=1. c_List_Olist_ONil=1. c_Message_OkeysFor=1. c_Event_OinitState=1. c_Message_Oagent_OFriend=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Set_Oinsert=1. c_Event_Oevent_OSays=1. c_List_Olist_OCons=1. c_List_Osko__List__Xin__lists__conv__set__1__1=1. c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__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.
% 10.28/10.54
% 10.28/10.54 ============================== end of process initial clauses ========
% 10.28/10.54
% 10.28/10.54 ============================== CLAUSES FOR SEARCH ====================
% 10.28/10.54
% 10.28/10.54 ============================== end of clauses for search =============
% 10.28/10.54
% 10.28/10.54 ============================== SEARCH ================================
% 10.28/10.54
% 10.28/10.54 % Starting search at 0.19 seconds.
% 10.28/10.54
% 10.28/10.54 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 24 (0.00 of 0.43 sec).
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=57.000, iters=3368
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=42.000, iters=3344
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=38.000, iters=3358
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=37.000, iters=3345
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=35.000, iters=3385
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=33.000, iters=3337
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=32.000, iters=3370
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=31.000, iters=3406
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=30.000, iters=3369
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=29.000, iters=3350
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=28.000, iters=3342
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=27.000, iters=3367
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=26.000, iters=3333
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=25.000, iters=3371
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=24.000, iters=3388
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=23.000, iters=3397
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=22.000, iters=3398
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=21.000, iters=3354
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=20.000, iters=3345
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=19.000, iters=3375
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=18.000, iters=3336
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=17.000, iters=3345
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=16.000, iters=3362
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=15.000, iters=3334
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=14.000, iters=3336
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=13.000, iters=3342
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=12.000, iters=3337
% 10.28/10.54
% 10.28/10.54 Low Water (displace): id=8798, wt=33.000
% 10.28/10.54
% 10.28/10.54 Low Water (displace): id=16984, wt=29.000
% 10.28/10.54
% 10.28/10.54 Low Water (displace): id=16823, wt=28.000
% 10.28/10.54
% 10.28/10.54 Low Water (displace): id=17517, wt=27.000
% 10.28/10.54
% 10.28/10.54 Low Water (displace): id=17956, wt=26.000
% 10.28/10.54
% 10.28/10.54 Low Water (displace): id=18361, wt=25.000
% 10.28/10.54
% 10.28/10.54 Low Water (displace): id=18483, wt=24.000
% 10.28/10.54
% 10.28/10.54 Low Water (displace): id=19821, wt=23.000
% 10.28/10.54
% 10.28/10.54 Low Water (displace): id=20933, wt=11.000
% 10.28/10.54
% 10.28/10.54 Low Water (keep): wt=11.000, iters=3722
% 10.28/10.54
% 10.28/10.54 ============================== PROOF =================================
% 10.28/10.54 % SZS status Unsatisfiable
% 10.28/10.54 % SZS output start Refutation
% 10.28/10.54
% 10.28/10.54 % Proof 1 at 9.13 (+ 0.25) seconds.
% 10.28/10.54 % Length of proof is 33.
% 10.28/10.54 % Level of proof is 8.
% 10.28/10.54 % Maximum clause weight is 20.000.
% 10.28/10.54 % Given clauses 9052.
% 10.28/10.54
% 10.28/10.54 41 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A) # label(cls_empty__is__image_1) # label(axiom). [assumption].
% 10.28/10.54 42 c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C) = c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)). [copy(41),flip(a)].
% 10.28/10.54 61 hBOOL(hAPP(A,B)) | -hBOOL(hAPP(A,c_Public_Okeymode_OEncryption)) | -hBOOL(hAPP(A,c_Public_Okeymode_OSignature)) # label(cls_keymode_Oinduct_0) # label(axiom). [assumption].
% 10.28/10.54 92 A = B | -c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C) # label(cls_singletonE_0) # label(axiom). [assumption].
% 10.28/10.54 94 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].
% 10.28/10.54 294 -c_in(c_Message_Omsg_ONonce(A),c_Set_Oimage(c_Message_Omsg_OKey,B,tc_nat,tc_Message_Omsg),tc_Message_Omsg) # label(cls_Nonce__Key__image__eq_0) # label(axiom). [assumption].
% 10.28/10.54 375 c_in(A,c_Set_Oinsert(A,B,C),C) # label(cls_insertCI_1) # label(axiom). [assumption].
% 10.28/10.54 383 c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E) = c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E) # label(cls_analz__image__freshK__simps_I56_J_0) # label(axiom). [assumption].
% 10.28/10.54 386 A != c_List_Olist_OCons(B,A,C) # label(cls_not__Cons__self_0) # label(axiom). [assumption].
% 10.28/10.54 387 c_List_Olist_OCons(A,B,C) != B. [copy(386),flip(a)].
% 10.28/10.54 394 c_List_Olist_OCons(A,B,C) != c_List_Olist_ONil(C) # label(cls_list_Osimps_I3_J_0) # label(axiom). [assumption].
% 10.28/10.54 397 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | -hBOOL(hAPP(B,D)) # label(cls_insert__code_2) # label(axiom). [assumption].
% 10.28/10.54 403 c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D) = c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D) # label(cls_insert__commute_0) # label(axiom). [assumption].
% 10.28/10.54 420 hBOOL(hAPP(A,B)) | C = B | -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)) # label(cls_insert__code_0) # label(axiom). [assumption].
% 10.28/10.54 437 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 10.28/10.54 453 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].
% 10.28/10.54 454 c_Set_Oinsert(A,c_List_Oset(B,C),C) = c_List_Oset(c_List_Olist_OCons(A,B,C),C). [copy(453),flip(a)].
% 10.28/10.54 548 c_in(A,B,C) | -hBOOL(hAPP(B,A)) # label(cls_mem__def_1) # label(axiom). [assumption].
% 10.28/10.54 1579 -c_in(c_Message_Omsg_ONonce(A),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,B),c_Set_Oimage(c_Message_Omsg_OKey,C,tc_nat,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg). [para(383(a,2),294(a,2))].
% 10.28/10.54 1760 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | E = D | -hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(E,B,C),C),D)). [para(403(a,1),420(c,1,1))].
% 10.28/10.54 1804 hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),E),B)). [resolve(437,a,397,b)].
% 10.28/10.54 1807 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),C)) | -hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),c_Public_Okeymode_OEncryption)). [resolve(437,a,61,c)].
% 10.28/10.54 1894 c_in(A,c_List_Oset(c_List_Olist_OCons(A,B,C),C),C). [para(454(a,1),375(a,2))].
% 10.28/10.54 2619 -c_in(c_Message_Omsg_ONonce(A),c_List_Oset(c_List_Olist_OCons(hAPP(c_Message_Omsg_OKey,B),c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg). [para(42(a,1),1579(a,2,2)),rewrite([94(7,R),454(9)])].
% 10.28/10.54 19773 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C),D)). [resolve(1807,b,1804,a)].
% 10.28/10.54 19774 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),C)) | c_Public_Okeymode_OEncryption = C. [resolve(19773,a,1760,c)].
% 10.28/10.54 19791 c_Public_Okeymode_OEncryption = A | c_in(A,c_Set_Oinsert(c_Public_Okeymode_OSignature,B,C),D). [resolve(19774,a,548,b)].
% 10.28/10.54 19832 c_Public_Okeymode_OEncryption = A | c_Public_Okeymode_OSignature = A. [resolve(19791,b,92,b),flip(b)].
% 10.28/10.54 19847 c_List_Olist_OCons(A,c_Public_Okeymode_OSignature,B) = c_Public_Okeymode_OEncryption. [resolve(19832,b,387,a(flip)),flip(a)].
% 10.28/10.54 20068 c_List_Olist_ONil(tc_Message_Omsg) = c_Public_Okeymode_OEncryption | -c_in(c_Message_Omsg_ONonce(A),c_List_Oset(c_Public_Okeymode_OEncryption,tc_Message_Omsg),tc_Message_Omsg). [para(19832(b,2),2619(a,2,1,2)),rewrite([19847(10)]),flip(a)].
% 10.28/10.54 23198 c_List_Olist_ONil(A) != c_Public_Okeymode_OEncryption. [para(19847(a,1),394(a,1)),flip(a)].
% 10.28/10.54 23223 c_in(A,c_List_Oset(c_Public_Okeymode_OEncryption,B),B). [para(19847(a,1),1894(a,2,1))].
% 10.28/10.54 23382 $F. [back_unit_del(20068),unit_del(a,23198),unit_del(b,23223)].
% 10.28/10.54
% 10.28/10.54 % SZS output end Refutation
% 10.28/10.54 ============================== end of proof ==========================
% 10.28/10.54
% 10.28/10.54 ============================== STATISTICS ============================
% 10.28/10.54
% 10.28/10.54 Given=9052. Generated=421434. Kept=23249. proofs=1.
% 10.28/10.54 Usable=8920. Sos=9926. Demods=662. Limbo=184, Disabled=4845. Hints=0.
% 10.28/10.54 Megabytes=28.80.
% 10.28/10.54 User_CPU=9.13, System_CPU=0.25, Wall_clock=10.
% 10.28/10.54
% 10.28/10.54 ============================== end of statistics =====================
% 10.28/10.54
% 10.28/10.54 ============================== end of search =========================
% 10.28/10.54
% 10.28/10.54 THEOREM PROVED
% 10.28/10.54 % SZS status Unsatisfiable
% 10.28/10.54
% 10.28/10.54 Exiting with 1 proof.
% 10.28/10.54
% 10.28/10.54 Process 4889 exit (max_proofs) Wed Jun 15 02:05:42 2022
% 10.28/10.54 Prover9 interrupted
%------------------------------------------------------------------------------