TSTP Solution File: SWV765-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV765-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 21:14:44 EDT 2022
% Result : Unsatisfiable 6.99s 7.29s
% Output : Refutation 6.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV765-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n027.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 : Tue Jun 14 16:48:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.91/1.23 ============================== Prover9 ===============================
% 0.91/1.23 Prover9 (32) version 2009-11A, November 2009.
% 0.91/1.23 Process 10312 was started by sandbox2 on n027.cluster.edu,
% 0.91/1.23 Tue Jun 14 16:48:49 2022
% 0.91/1.23 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_10159_n027.cluster.edu".
% 0.91/1.23 ============================== end of head ===========================
% 0.91/1.23
% 0.91/1.23 ============================== INPUT =================================
% 0.91/1.23
% 0.91/1.23 % Reading from file /tmp/Prover9_10159_n027.cluster.edu
% 0.91/1.23
% 0.91/1.23 set(prolog_style_variables).
% 0.91/1.23 set(auto2).
% 0.91/1.23 % set(auto2) -> set(auto).
% 0.91/1.23 % set(auto) -> set(auto_inference).
% 0.91/1.23 % set(auto) -> set(auto_setup).
% 0.91/1.23 % set(auto_setup) -> set(predicate_elim).
% 0.91/1.23 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.91/1.23 % set(auto) -> set(auto_limits).
% 0.91/1.23 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.91/1.23 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.91/1.23 % set(auto) -> set(auto_denials).
% 0.91/1.23 % set(auto) -> set(auto_process).
% 0.91/1.23 % set(auto2) -> assign(new_constants, 1).
% 0.91/1.23 % set(auto2) -> assign(fold_denial_max, 3).
% 0.91/1.23 % set(auto2) -> assign(max_weight, "200.000").
% 0.91/1.23 % set(auto2) -> assign(max_hours, 1).
% 0.91/1.23 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.91/1.23 % set(auto2) -> assign(max_seconds, 0).
% 0.91/1.23 % set(auto2) -> assign(max_minutes, 5).
% 0.91/1.23 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.91/1.23 % set(auto2) -> set(sort_initial_sos).
% 0.91/1.23 % set(auto2) -> assign(sos_limit, -1).
% 0.91/1.23 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.91/1.23 % set(auto2) -> assign(max_megs, 400).
% 0.91/1.23 % set(auto2) -> assign(stats, some).
% 0.91/1.23 % set(auto2) -> clear(echo_input).
% 0.91/1.23 % set(auto2) -> set(quiet).
% 0.91/1.23 % set(auto2) -> clear(print_initial_clauses).
% 0.91/1.23 % set(auto2) -> clear(print_given).
% 0.91/1.23 assign(lrs_ticks,-1).
% 0.91/1.23 assign(sos_limit,10000).
% 0.91/1.23 assign(order,kbo).
% 0.91/1.23 set(lex_order_vars).
% 0.91/1.23 clear(print_given).
% 0.91/1.23
% 0.91/1.23 % formulas(sos). % not echoed (545 formulas)
% 0.91/1.23
% 0.91/1.23 ============================== end of input ==========================
% 0.91/1.23
% 0.91/1.23 % From the command line: assign(max_seconds, 300).
% 0.91/1.23
% 0.91/1.23 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.91/1.23
% 0.91/1.23 % Formulas that are not ordinary clauses:
% 0.91/1.23
% 0.91/1.23 ============================== end of process non-clausal formulas ===
% 0.91/1.23
% 0.91/1.23 ============================== PROCESS INITIAL CLAUSES ===============
% 0.91/1.23
% 0.91/1.23 ============================== PREDICATE ELIMINATION =================
% 0.91/1.23 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.91/1.23 2 -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].
% 0.91/1.23 3 -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].
% 0.91/1.23 4 -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].
% 0.91/1.23 5 -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].
% 0.91/1.23 6 -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].
% 0.91/1.23 7 -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].
% 0.91/1.23 8 -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].
% 0.91/1.23 9 -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].
% 0.91/1.23 10 -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].
% 0.91/1.23 11 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.91/1.23 12 -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].
% 0.91/1.23 13 -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].
% 0.91/1.23 14 -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].
% 0.91/1.23 15 -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].
% 0.91/1.23 16 -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].
% 0.91/1.23 17 -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].
% 0.91/1.23 18 -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].
% 0.91/1.23 19 -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].
% 0.91/1.23 20 -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].
% 0.91/1.23 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,2,a)].
% 0.91/1.23 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,3,a)].
% 0.91/1.23 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,4,a)].
% 0.91/1.23 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,5,a)].
% 0.91/1.23 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,6,a)].
% 0.91/1.23 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,7,a)].
% 0.91/1.23 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,8,a)].
% 0.91/1.23 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,11,a)].
% 0.91/1.23 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,12,a)].
% 0.91/1.23 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,13,a)].
% 0.91/1.23 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,14,a)].
% 0.91/1.23 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,15,a)].
% 0.91/1.23 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,16,a)].
% 0.91/1.23 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,19,a)].
% 0.91/1.23 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,20,a)].
% 0.91/1.23 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.91/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,2,a)].
% 0.91/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,3,a)].
% 0.91/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,4,a)].
% 0.91/1.23 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,5,a)].
% 0.91/1.23 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,6,a)].
% 0.91/1.23 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,7,a)].
% 0.91/1.23 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,8,a)].
% 0.91/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,11,a)].
% 0.91/1.23 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,12,a)].
% 0.91/1.23 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,13,a)].
% 0.91/1.23 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,14,a)].
% 0.91/1.23 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,15,a)].
% 0.91/1.23 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,16,a)].
% 0.91/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,19,a)].
% 0.91/1.23 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,20,a)].
% 0.91/1.23 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.91/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,2,a)].
% 0.91/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,3,a)].
% 0.91/1.23 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,4,a)].
% 0.91/1.23 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,5,a)].
% 0.91/1.23 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,6,a)].
% 0.91/1.32 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,7,a)].
% 0.91/1.32 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,8,a)].
% 0.91/1.32 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,11,a)].
% 0.91/1.32 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,12,a)].
% 0.91/1.32 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,13,a)].
% 0.91/1.32 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,14,a)].
% 0.91/1.32 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,15,a)].
% 0.91/1.32 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,16,a)].
% 0.91/1.32 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(22,a,19,a)].
% 0.91/1.32 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,20,a)].
% 0.91/1.32 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.91/1.32 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.91/1.32 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 0.91/1.32 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 0.91/1.32 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 0.91/1.32 Derived: A = A. [resolve(25,b,26,a)].
% 0.91/1.32
% 0.91/1.32 ============================== end predicate elimination =============
% 0.91/1.32
% 0.91/1.32 Auto_denials: (non-Horn, no changes).
% 0.91/1.32
% 0.91/1.32 Term ordering decisions:
% 0.91/1.32 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. c_Message_Omsg_OKey=1. tc_nat=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. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=1. t_a=1. v_A=1. v_K=1. v_evs=1. v_B=1. v_NB=1. v_NA=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_Event_Oevent_ONotes=1. c_Event_Oevent_OGets=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__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. c_Message_Omsg_ONonce=1. tc_List_Olist=1. c_Public_OpublicKey=1. c_Event_Oused=1. c_Orderings_Otop__class_Otop=1. c_Message_OkeysFor=1. c_Message_Omsg_OHash=1. c_NS__Shared__Mirabelle_Ons__sharedp=1. c_Event_OinitState=1. c_Message_Oagent_OFriend=1. c_in=1. c_Set_Oinsert=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Event_Oevent_OSays=1. c_List_Olist_OCons=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__XB__trusts__NS3__1=1.
% 0.91/1.32
% 0.91/1.32 ============================== end of process initial clauses ========
% 6.99/7.29
% 6.99/7.29 ============================== CLAUSES FOR SEARCH ====================
% 6.99/7.29
% 6.99/7.29 ============================== end of clauses for search =============
% 6.99/7.29
% 6.99/7.29 ============================== SEARCH ================================
% 6.99/7.29
% 6.99/7.29 % Starting search at 0.16 seconds.
% 6.99/7.29
% 6.99/7.29 Low Water (keep): wt=41.000, iters=3361
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% 6.99/7.29 Low Water (keep): wt=38.000, iters=3350
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% 6.99/7.29 Low Water (keep): wt=37.000, iters=3381
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% 6.99/7.29 Low Water (keep): wt=36.000, iters=3342
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% 6.99/7.29 Low Water (keep): wt=35.000, iters=3379
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% 6.99/7.29 Low Water (keep): wt=34.000, iters=3344
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% 6.99/7.29 Low Water (keep): wt=32.000, iters=3355
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% 6.99/7.29 Low Water (keep): wt=31.000, iters=3350
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% 6.99/7.29 Low Water (keep): wt=30.000, iters=3334
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% 6.99/7.29 Low Water (keep): wt=29.000, iters=3354
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% 6.99/7.29 Low Water (keep): wt=28.000, iters=3426
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% 6.99/7.29 Low Water (keep): wt=27.000, iters=3355
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% 6.99/7.29 Low Water (keep): wt=26.000, iters=3406
% 6.99/7.29
% 6.99/7.29 Low Water (keep): wt=25.000, iters=3380
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% 6.99/7.29 Low Water (keep): wt=24.000, iters=3366
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% 6.99/7.29 Low Water (keep): wt=23.000, iters=3404
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% 6.99/7.29 Low Water (keep): wt=21.000, iters=3342
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% 6.99/7.29 Low Water (keep): wt=20.000, iters=3442
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% 6.99/7.29 Low Water (keep): wt=19.000, iters=3447
% 6.99/7.29
% 6.99/7.29 Low Water (keep): wt=18.000, iters=3350
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% 6.99/7.29 Low Water (keep): wt=16.000, iters=3426
% 6.99/7.29
% 6.99/7.29 Low Water (keep): wt=15.000, iters=3333
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% 6.99/7.29 Low Water (keep): wt=14.000, iters=3334
% 6.99/7.29
% 6.99/7.29 Low Water (keep): wt=13.000, iters=3336
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=2085, wt=109.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=2084, wt=105.000
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% 6.99/7.29 Low Water (displace): id=2089, wt=104.000
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% 6.99/7.29 Low Water (displace): id=2705, wt=101.000
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% 6.99/7.29 Low Water (displace): id=2088, wt=100.000
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% 6.99/7.29 Low Water (displace): id=2086, wt=99.000
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% 6.99/7.29 Low Water (displace): id=3800, wt=97.000
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% 6.99/7.29 Low Water (displace): id=2090, wt=94.000
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% 6.99/7.29 Low Water (displace): id=2093, wt=93.000
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% 6.99/7.29 Low Water (displace): id=2092, wt=89.000
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% 6.99/7.29 Low Water (displace): id=2194, wt=87.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=2097, wt=85.000
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% 6.99/7.29 Low Water (displace): id=2193, wt=84.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=2094, wt=83.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=2096, wt=82.000
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% 6.99/7.29 Low Water (displace): id=4111, wt=79.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=2195, wt=78.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=15456, wt=35.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=17166, wt=34.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=17074, wt=33.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=17219, wt=32.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=16939, wt=31.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=17285, wt=30.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=18177, wt=12.000
% 6.99/7.29
% 6.99/7.29 Low Water (displace): id=20273, wt=11.000
% 6.99/7.29
% 6.99/7.29 Low Water (keep): wt=12.000, iters=3949
% 6.99/7.29
% 6.99/7.29 ============================== PROOF =================================
% 6.99/7.29 % SZS status Unsatisfiable
% 6.99/7.29 % SZS output start Refutation
% 6.99/7.29
% 6.99/7.29 % Proof 1 at 6.01 (+ 0.13) seconds.
% 6.99/7.29 % Length of proof is 23.
% 6.99/7.29 % Level of proof is 9.
% 6.99/7.29 % Maximum clause weight is 14.000.
% 6.99/7.29 % Given clauses 5138.
% 6.99/7.29
% 6.99/7.29 28 c_Message_Oagent_OFriend(A) != c_Message_Oagent_OSpy # label(cls_agent_Osimps_I6_J_0) # label(axiom). [assumption].
% 6.99/7.29 30 c_Message_Oagent_OServer != c_Message_Oagent_OFriend(A) # label(cls_agent_Osimps_I2_J_0) # label(axiom). [assumption].
% 6.99/7.29 31 c_Message_Oagent_OFriend(A) != c_Message_Oagent_OServer. [copy(30),flip(a)].
% 6.99/7.29 39 -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)) # label(cls_bot1E_0) # label(axiom). [assumption].
% 6.99/7.29 105 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].
% 6.99/7.29 285 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 6.99/7.29 295 hBOOL(hAPP(A,B)) | C = B | -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)) # label(cls_insert__code_0) # label(axiom). [assumption].
% 6.99/7.29 308 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | -hBOOL(hAPP(B,D)) # label(cls_insert__code_2) # label(axiom). [assumption].
% 6.99/7.29 490 c_Message_Oagent_OServer != c_Message_Oagent_OSpy # label(cls_agent_Osimps_I4_J_0) # label(axiom). [assumption].
% 6.99/7.29 1257 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(285,a,105,c)].
% 6.99/7.29 1578 hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),E),B)). [resolve(308,b,285,a)].
% 6.99/7.29 17318 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C),D)). [resolve(1257,b,1578,a)].
% 6.99/7.29 17333 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C)) | c_Public_Okeymode_OSignature = C. [resolve(17318,a,295,c)].
% 6.99/7.29 17344 c_Public_Okeymode_OSignature = A | hBOOL(hAPP(B,A)) | c_Public_Okeymode_OEncryption = A. [resolve(17333,a,295,c)].
% 6.99/7.29 17358 c_Public_Okeymode_OSignature = A | c_Public_Okeymode_OEncryption = A. [resolve(17344,b,39,a)].
% 6.99/7.29 17378 c_Message_Oagent_OFriend(A) = c_Public_Okeymode_OEncryption | c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy. [para(17358(a,2),28(a,1)),flip(a)].
% 6.99/7.29 17380 c_Message_Oagent_OFriend(A) = c_Public_Okeymode_OEncryption | c_Public_Okeymode_OSignature != c_Message_Oagent_OServer. [para(17358(a,2),31(a,1)),flip(a)].
% 6.99/7.29 17548 c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer | c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy. [para(17358(a,2),490(a,1))].
% 6.99/7.29 20549 c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer | c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy. [resolve(17548,b,17358,a)].
% 6.99/7.29 20748 c_Message_Oagent_OFriend(A) = c_Public_Okeymode_OEncryption | c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy. [resolve(17378,b,17358,a)].
% 6.99/7.29 20751 c_Message_Oagent_OFriend(A) = c_Public_Okeymode_OEncryption | c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer. [resolve(17380,b,17358,a)].
% 6.99/7.29 21310 c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy. [para(20549(a,1),20748(a,2)),merge(c),unit_del(b,31)].
% 6.99/7.29 21457 $F. [back_rewrite(20751),rewrite([21310(2),21310(4)]),flip(b),unit_del(a,28),unit_del(b,490)].
% 6.99/7.29
% 6.99/7.29 % SZS output end Refutation
% 6.99/7.29 ============================== end of proof ==========================
% 6.99/7.29
% 6.99/7.29 ============================== STATISTICS ============================
% 6.99/7.29
% 6.99/7.29 Given=5138. Generated=237207. Kept=21334. proofs=1.
% 6.99/7.29 Usable=4318. Sos=9742. Demods=994. Limbo=147, Disabled=7719. Hints=0.
% 6.99/7.29 Megabytes=31.43.
% 6.99/7.29 User_CPU=6.01, System_CPU=0.13, Wall_clock=6.
% 6.99/7.29
% 6.99/7.29 ============================== end of statistics =====================
% 6.99/7.29
% 6.99/7.29 ============================== end of search =========================
% 6.99/7.29
% 6.99/7.29 THEOREM PROVED
% 6.99/7.29 % SZS status Unsatisfiable
% 6.99/7.29
% 6.99/7.29 Exiting with 1 proof.
% 6.99/7.29
% 6.99/7.29 Process 10312 exit (max_proofs) Tue Jun 14 16:48:55 2022
% 6.99/7.29 Prover9 interrupted
%------------------------------------------------------------------------------