TSTP Solution File: SWV758-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV758-1 : 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 21:14:42 EDT 2022
% Result : Unsatisfiable 6.54s 6.80s
% Output : Refutation 6.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV758-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n022.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 : Wed Jun 15 07:22:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.04/1.37 ============================== Prover9 ===============================
% 1.04/1.37 Prover9 (32) version 2009-11A, November 2009.
% 1.04/1.37 Process 21210 was started by sandbox2 on n022.cluster.edu,
% 1.04/1.37 Wed Jun 15 07:22:48 2022
% 1.04/1.37 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_21057_n022.cluster.edu".
% 1.04/1.37 ============================== end of head ===========================
% 1.04/1.37
% 1.04/1.37 ============================== INPUT =================================
% 1.04/1.37
% 1.04/1.37 % Reading from file /tmp/Prover9_21057_n022.cluster.edu
% 1.04/1.37
% 1.04/1.37 set(prolog_style_variables).
% 1.04/1.37 set(auto2).
% 1.04/1.37 % set(auto2) -> set(auto).
% 1.04/1.37 % set(auto) -> set(auto_inference).
% 1.04/1.37 % set(auto) -> set(auto_setup).
% 1.04/1.37 % set(auto_setup) -> set(predicate_elim).
% 1.04/1.37 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.04/1.37 % set(auto) -> set(auto_limits).
% 1.04/1.37 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.04/1.37 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.04/1.37 % set(auto) -> set(auto_denials).
% 1.04/1.37 % set(auto) -> set(auto_process).
% 1.04/1.37 % set(auto2) -> assign(new_constants, 1).
% 1.04/1.37 % set(auto2) -> assign(fold_denial_max, 3).
% 1.04/1.37 % set(auto2) -> assign(max_weight, "200.000").
% 1.04/1.37 % set(auto2) -> assign(max_hours, 1).
% 1.04/1.37 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.04/1.37 % set(auto2) -> assign(max_seconds, 0).
% 1.04/1.37 % set(auto2) -> assign(max_minutes, 5).
% 1.04/1.37 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.04/1.37 % set(auto2) -> set(sort_initial_sos).
% 1.04/1.37 % set(auto2) -> assign(sos_limit, -1).
% 1.04/1.37 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.04/1.37 % set(auto2) -> assign(max_megs, 400).
% 1.04/1.37 % set(auto2) -> assign(stats, some).
% 1.04/1.37 % set(auto2) -> clear(echo_input).
% 1.04/1.37 % set(auto2) -> set(quiet).
% 1.04/1.37 % set(auto2) -> clear(print_initial_clauses).
% 1.04/1.37 % set(auto2) -> clear(print_given).
% 1.04/1.37 assign(lrs_ticks,-1).
% 1.04/1.37 assign(sos_limit,10000).
% 1.04/1.37 assign(order,kbo).
% 1.04/1.37 set(lex_order_vars).
% 1.04/1.37 clear(print_given).
% 1.04/1.37
% 1.04/1.37 % formulas(sos). % not echoed (692 formulas)
% 1.04/1.37
% 1.04/1.37 ============================== end of input ==========================
% 1.04/1.37
% 1.04/1.37 % From the command line: assign(max_seconds, 300).
% 1.04/1.37
% 1.04/1.37 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.04/1.37
% 1.04/1.37 % Formulas that are not ordinary clauses:
% 1.04/1.37
% 1.04/1.37 ============================== end of process non-clausal formulas ===
% 1.04/1.37
% 1.04/1.37 ============================== PROCESS INITIAL CLAUSES ===============
% 1.04/1.37
% 1.04/1.37 ============================== PREDICATE ELIMINATION =================
% 1.04/1.37 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 6 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 1.04/1.37 7 -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].
% 1.04/1.37 8 -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].
% 1.04/1.37 9 -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].
% 1.04/1.37 10 -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].
% 1.04/1.37 11 -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].
% 1.04/1.37 12 -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].
% 1.04/1.37 13 -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].
% 1.04/1.37 14 -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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,6,a)].
% 1.04/1.37 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,7,a)].
% 1.04/1.37 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,8,a)].
% 1.04/1.37 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,9,a)].
% 1.04/1.37 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,10,a)].
% 1.04/1.37 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,13,a)].
% 1.04/1.37 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,14,a)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,5,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,6,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,7,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,8,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,9,a)].
% 1.04/1.37 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,10,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,13,a)].
% 1.04/1.37 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,14,a)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.37 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)].
% 1.04/1.51 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,5,a)].
% 1.04/1.51 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,6,a)].
% 1.04/1.51 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,7,a)].
% 1.04/1.51 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,8,a)].
% 1.04/1.51 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,9,a)].
% 1.04/1.51 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,10,a)].
% 1.04/1.51 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(22,a,13,a)].
% 1.04/1.51 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,14,a)].
% 1.04/1.51 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)].
% 1.04/1.51 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)].
% 1.04/1.51 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)].
% 1.04/1.51 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)].
% 1.04/1.51 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.04/1.51 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.04/1.51 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 1.04/1.51 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 1.04/1.51 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 1.04/1.51 Derived: A = A. [resolve(25,b,26,a)].
% 1.04/1.51
% 1.04/1.51 ============================== end predicate elimination =============
% 1.04/1.51
% 1.04/1.51 Auto_denials: (non-Horn, no changes).
% 1.04/1.51
% 1.04/1.51 Term ordering decisions:
% 1.04/1.51 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. c_NS__Shared__Mirabelle_Ons__shared=1. c_Message_OinvKey=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. c_Message_OsymKeys=1. v_x=1. t_a=1. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=1. t_b=1. v_A=1. v_evs=1. v_K=1. v_B=1. v_NA=1. v_NB=1. v_X=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_Message_OHPair=1. c_Event_Oevent_OGets=1. c_List_Oremdups=1. c_List_Olists=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1=1. c_List_Olength__unique=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. c_Message_Omsg_ONonce=1. tc_List_Olist=1. c_List_Olist_ONil=1. c_Orderings_Otop__class_Otop=1. c_Event_Oused=1. c_Public_OpublicKey=1. c_Message_Omsg_OHash=1. c_Message_OkeysFor=1. c_NS__Shared__Mirabelle_Ons__sharedp=1. c_Event_OinitState=1. c_Public_Osko__Public__XNonce__supply1__1__1=1. c_in=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Set_Oinsert=1. c_List_Olist_OCons=1. c_Event_Oevent_OSays=1. c_List_Oappend=1. c_List_Olist__inter=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. c_ATP__Linkup_Osko__Set__XrangeE__1__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1=1.
% 6.54/6.80
% 6.54/6.80 ============================== end of process initial clauses ========
% 6.54/6.80
% 6.54/6.80 ============================== CLAUSES FOR SEARCH ====================
% 6.54/6.80
% 6.54/6.80 ============================== end of clauses for search =============
% 6.54/6.80
% 6.54/6.80 ============================== SEARCH ================================
% 6.54/6.80
% 6.54/6.80 % Starting search at 0.23 seconds.
% 6.54/6.80
% 6.54/6.80 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 28 (0.00 of 0.51 sec).
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=50.000, iters=3336
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=47.000, iters=3346
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=42.000, iters=3344
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=40.000, iters=3377
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=37.000, iters=3345
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=36.000, iters=3348
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=35.000, iters=3333
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=34.000, iters=3375
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=33.000, iters=3434
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=32.000, iters=3426
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=31.000, iters=3398
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=30.000, iters=3345
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=29.000, iters=3451
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=28.000, iters=3406
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=27.000, iters=3371
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=26.000, iters=3427
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=25.000, iters=3350
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=24.000, iters=3360
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=23.000, iters=3333
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=22.000, iters=3336
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=21.000, iters=3358
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=20.000, iters=3341
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=19.000, iters=3346
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=18.000, iters=3353
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=17.000, iters=3345
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=16.000, iters=3334
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=15.000, iters=3340
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=14.000, iters=3336
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=13.000, iters=3420
% 6.54/6.80
% 6.54/6.80 Low Water (keep): wt=12.000, iters=3339
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=2999, wt=168.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=2998, wt=163.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=2994, wt=128.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=3001, wt=124.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=3000, wt=119.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=3003, wt=111.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=2997, wt=107.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=3014, wt=105.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=2536, wt=102.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=16524, wt=51.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=16585, wt=48.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=16794, wt=47.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=12302, wt=45.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=9797, wt=42.000
% 6.54/6.80
% 6.54/6.80 Low Water (displace): id=16917, wt=11.000
% 6.54/6.80
% 6.54/6.80 ============================== PROOF =================================
% 6.54/6.80 % SZS status Unsatisfiable
% 6.54/6.80 % SZS output start Refutation
% 6.54/6.80
% 6.54/6.80 % Proof 1 at 5.39 (+ 0.14) seconds.
% 6.54/6.80 % Length of proof is 30.
% 6.54/6.80 % Level of proof is 7.
% 6.54/6.80 % Maximum clause weight is 20.000.
% 6.54/6.80 % Given clauses 6329.
% 6.54/6.80
% 6.54/6.80 53 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].
% 6.54/6.80 69 -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)) # label(cls_bot1E_0) # label(axiom). [assumption].
% 6.54/6.80 123 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].
% 6.54/6.80 145 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].
% 6.54/6.80 150 A = c_List_Oappend(c_List_Olist_ONil(B),A,B) # label(cls_eq__Nil__appendI_0) # label(axiom). [assumption].
% 6.54/6.80 151 c_List_Oappend(c_List_Olist_ONil(A),B,A) = B. [copy(150),flip(a)].
% 6.54/6.80 163 hBOOL(hAPP(A,B)) | C = B | -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)) # label(cls_insert__code_0) # label(axiom). [assumption].
% 6.54/6.80 201 c_List_Olist_ONil(A) != c_List_Olist_OCons(B,C,A) # label(cls_list_Osimps_I2_J_0) # label(axiom). [assumption].
% 6.54/6.80 202 c_List_Olist_OCons(A,B,C) != c_List_Olist_ONil(C). [copy(201),flip(a)].
% 6.54/6.80 214 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 6.54/6.80 220 c_List_Oappend(A,B,C) != B | A = c_List_Olist_ONil(C) # label(cls_append__self__conv2_0) # label(axiom). [assumption].
% 6.54/6.80 221 c_List_Oappend(A,B,C) != B | c_List_Olist_ONil(C) = A. [copy(220),flip(b)].
% 6.54/6.80 225 c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C) = c_List_Olist_OCons(A,c_List_Oappend(B,D,C),C) # label(cls_append__eq__Cons__conv_5) # label(axiom). [assumption].
% 6.54/6.80 235 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | -hBOOL(hAPP(B,D)) # label(cls_insert__code_2) # label(axiom). [assumption].
% 6.54/6.80 541 A != c_List_Olist_OCons(B,A,C) # label(cls_not__Cons__self_0) # label(axiom). [assumption].
% 6.54/6.80 542 c_List_Olist_OCons(A,B,C) != B. [copy(541),flip(a)].
% 6.54/6.80 797 -hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(A),A),B)). [para(53(a,2),69(a,1,1))].
% 6.54/6.80 891 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(123(a,1),163(c,1,1))].
% 6.54/6.80 1059 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(214,a,145,c)].
% 6.54/6.80 1078 c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D) != C. [para(225(a,1),221(a,1)),flip(b),unit_del(b,202)].
% 6.54/6.80 1103 hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),E),B)). [resolve(235,b,214,a)].
% 6.54/6.80 3074 c_List_Olist_OCons(A,c_List_Olist_OCons(B,c_List_Oappend(C,D,E),E),E) != D. [para(225(a,1),1078(a,1,2))].
% 6.54/6.80 3187 c_List_Olist_OCons(A,c_List_Olist_OCons(B,C,D),D) != C. [para(151(a,1),3074(a,1,2,2))].
% 6.54/6.80 11969 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C),D)). [resolve(1103,a,1059,b)].
% 6.54/6.80 15883 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),C)) | c_Public_Okeymode_OEncryption = C. [resolve(11969,a,891,c)].
% 6.54/6.80 17034 c_Public_Okeymode_OEncryption = A | hBOOL(hAPP(B,A)) | c_Public_Okeymode_OSignature = A. [resolve(15883,a,163,c)].
% 6.54/6.80 17387 c_Public_Okeymode_OEncryption = A | c_Public_Okeymode_OSignature = A. [resolve(17034,b,797,a)].
% 6.54/6.80 17397 c_List_Olist_OCons(A,c_List_Olist_OCons(B,c_Public_Okeymode_OSignature,C),C) = c_Public_Okeymode_OEncryption. [resolve(17387,b,3187,a(flip)),flip(a)].
% 6.54/6.80 17402 c_List_Olist_OCons(A,c_Public_Okeymode_OSignature,B) = c_Public_Okeymode_OEncryption. [resolve(17387,b,542,a(flip)),flip(a)].
% 6.54/6.80 21112 $F. [back_rewrite(17397),rewrite([17402(2)]),unit_del(a,542)].
% 6.54/6.80
% 6.54/6.80 % SZS output end Refutation
% 6.54/6.80 ============================== end of proof ==========================
% 6.54/6.80
% 6.54/6.80 ============================== STATISTICS ============================
% 6.54/6.80
% 6.54/6.80 Given=6329. Generated=235254. Kept=20929. proofs=1.
% 6.54/6.80 Usable=6278. Sos=9999. Demods=821. Limbo=3710, Disabled=1681. Hints=0.
% 6.54/6.80 Megabytes=31.55.
% 6.54/6.80 User_CPU=5.39, System_CPU=0.14, Wall_clock=6.
% 6.54/6.80
% 6.54/6.80 ============================== end of statistics =====================
% 6.54/6.80
% 6.54/6.80 ============================== end of search =========================
% 6.54/6.80
% 6.54/6.80 THEOREM PROVED
% 6.54/6.80 % SZS status Unsatisfiable
% 6.54/6.80
% 6.54/6.80 Exiting with 1 proof.
% 6.54/6.80
% 6.54/6.80 Process 21210 exit (max_proofs) Wed Jun 15 07:22:54 2022
% 6.54/6.80 Prover9 interrupted
%------------------------------------------------------------------------------