TSTP Solution File: SWV721-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV721-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 21:14:33 EDT 2022
% Result : Unsatisfiable 29.69s 29.92s
% Output : Refutation 29.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV721-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 01:04:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.94/1.18 ============================== Prover9 ===============================
% 0.94/1.18 Prover9 (32) version 2009-11A, November 2009.
% 0.94/1.18 Process 31901 was started by sandbox2 on n021.cluster.edu,
% 0.94/1.18 Wed Jun 15 01:04:44 2022
% 0.94/1.18 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31748_n021.cluster.edu".
% 0.94/1.18 ============================== end of head ===========================
% 0.94/1.18
% 0.94/1.18 ============================== INPUT =================================
% 0.94/1.18
% 0.94/1.18 % Reading from file /tmp/Prover9_31748_n021.cluster.edu
% 0.94/1.18
% 0.94/1.18 set(prolog_style_variables).
% 0.94/1.18 set(auto2).
% 0.94/1.18 % set(auto2) -> set(auto).
% 0.94/1.18 % set(auto) -> set(auto_inference).
% 0.94/1.18 % set(auto) -> set(auto_setup).
% 0.94/1.18 % set(auto_setup) -> set(predicate_elim).
% 0.94/1.18 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.94/1.18 % set(auto) -> set(auto_limits).
% 0.94/1.18 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.94/1.18 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.94/1.18 % set(auto) -> set(auto_denials).
% 0.94/1.18 % set(auto) -> set(auto_process).
% 0.94/1.18 % set(auto2) -> assign(new_constants, 1).
% 0.94/1.18 % set(auto2) -> assign(fold_denial_max, 3).
% 0.94/1.18 % set(auto2) -> assign(max_weight, "200.000").
% 0.94/1.18 % set(auto2) -> assign(max_hours, 1).
% 0.94/1.18 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.94/1.18 % set(auto2) -> assign(max_seconds, 0).
% 0.94/1.18 % set(auto2) -> assign(max_minutes, 5).
% 0.94/1.18 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.94/1.18 % set(auto2) -> set(sort_initial_sos).
% 0.94/1.18 % set(auto2) -> assign(sos_limit, -1).
% 0.94/1.18 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.94/1.18 % set(auto2) -> assign(max_megs, 400).
% 0.94/1.18 % set(auto2) -> assign(stats, some).
% 0.94/1.18 % set(auto2) -> clear(echo_input).
% 0.94/1.18 % set(auto2) -> set(quiet).
% 0.94/1.18 % set(auto2) -> clear(print_initial_clauses).
% 0.94/1.18 % set(auto2) -> clear(print_given).
% 0.94/1.18 assign(lrs_ticks,-1).
% 0.94/1.18 assign(sos_limit,10000).
% 0.94/1.18 assign(order,kbo).
% 0.94/1.18 set(lex_order_vars).
% 0.94/1.18 clear(print_given).
% 0.94/1.18
% 0.94/1.18 % formulas(sos). % not echoed (442 formulas)
% 0.94/1.18
% 0.94/1.18 ============================== end of input ==========================
% 0.94/1.18
% 0.94/1.18 % From the command line: assign(max_seconds, 300).
% 0.94/1.18
% 0.94/1.18 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.94/1.18
% 0.94/1.18 % Formulas that are not ordinary clauses:
% 0.94/1.18
% 0.94/1.18 ============================== end of process non-clausal formulas ===
% 0.94/1.18
% 0.94/1.18 ============================== PROCESS INITIAL CLAUSES ===============
% 0.94/1.18
% 0.94/1.18 ============================== PREDICATE ELIMINATION =================
% 0.94/1.18 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.94/1.18 2 -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].
% 0.94/1.18 3 -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].
% 0.94/1.18 4 -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].
% 0.94/1.18 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].
% 0.94/1.18 6 -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].
% 0.94/1.18 7 -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].
% 0.94/1.18 8 -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].
% 0.94/1.18 9 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.94/1.18 10 -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].
% 0.94/1.18 11 -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].
% 0.94/1.18 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].
% 0.94/1.18 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].
% 0.94/1.18 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].
% 0.94/1.18 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].
% 0.94/1.18 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].
% 0.94/1.18 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].
% 0.94/1.18 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].
% 0.94/1.18 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].
% 0.94/1.18 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].
% 0.94/1.18 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,2,a)].
% 0.94/1.18 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,4,a)].
% 0.94/1.18 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)].
% 0.94/1.18 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,7,a)].
% 0.94/1.18 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,8,a)].
% 0.94/1.18 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,9,a)].
% 0.94/1.18 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,10,a)].
% 0.94/1.18 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,11,a)].
% 0.94/1.18 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)].
% 0.94/1.18 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)].
% 0.94/1.18 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)].
% 0.94/1.18 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)].
% 0.94/1.18 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)].
% 0.94/1.18 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)].
% 0.94/1.18 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)].
% 0.94/1.18 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.94/1.18 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,2,a)].
% 0.94/1.18 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,4,a)].
% 0.94/1.18 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,5,a)].
% 0.94/1.18 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,7,a)].
% 0.94/1.18 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,8,a)].
% 0.94/1.18 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,9,a)].
% 0.94/1.18 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,10,a)].
% 0.94/1.18 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,11,a)].
% 0.94/1.18 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,12,a)].
% 0.94/1.18 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,13,a)].
% 0.94/1.18 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,14,a)].
% 0.94/1.18 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)].
% 0.94/1.18 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)].
% 0.94/1.18 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)].
% 0.94/1.18 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)].
% 0.94/1.18 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.94/1.18 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,2,a)].
% 0.94/1.18 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,4,a)].
% 0.94/1.18 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,5,a)].
% 0.94/1.18 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,7,a)].
% 1.00/1.28 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,8,a)].
% 1.00/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,9,a)].
% 1.00/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(22,a,10,a)].
% 1.00/1.28 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,11,a)].
% 1.00/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,12,a)].
% 1.00/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,13,a)].
% 1.00/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,14,a)].
% 1.00/1.28 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)].
% 1.00/1.28 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)].
% 1.00/1.28 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)].
% 1.00/1.28 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)].
% 1.00/1.28 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.00/1.28 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.00/1.28 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 1.00/1.28 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 1.00/1.28 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 1.00/1.28 Derived: A = A. [resolve(25,b,26,a)].
% 1.00/1.28
% 1.00/1.28 ============================== end predicate elimination =============
% 1.00/1.28
% 1.00/1.28 Auto_denials: (non-Horn, no changes).
% 1.00/1.28
% 1.00/1.28 Term ordering decisions:
% 1.00/1.28 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. tc_nat=1. c_Message_Oagent_OSpy=1. c_Event_Obad=1. tc_Message_Oagent=1. v_A=1. v_B=1. v_K=1. v_KA=1. v_N=1. v_S=1. v_X=1. v_evs=1. tc_fun=1. c_List_Oset=1. hAPP=1. c_Event_Oknows=1. c_Message_Omsg_OCrypt=1. c_Message_Omsg_OMPair=1. c_Event_Oevent_ONotes=1. c_Event_Oevent_OGets=1. c_Public_OpublicKey=1. c_List_Obutlast=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1=1. c_Message_Osko__Message__Xparts__singleton__1__1=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2=1. c_and=1. v_sko__Message__Xparts__Xcases__1=1. v_sko__Message__Xparts__Xcases__2=1. v_sko__Message__Xparts__Xcases__3=1. c_Message_Oanalz=1. c_Message_Oparts=1. c_Message_Osynth=1. c_Orderings_Obot__class_Obot=1. c_Message_Omsg_OKey=1. c_Event_Oused=1. c_Message_OinvKey=1. c_Public_OshrK=1. c_Event_OinitState=1. c_Not=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Set_Oinsert=1. c_List_Olist_OCons=1. c_Event_Oevent_OSays=1. c_List_Ofilter=1. c_List_Odrop=1. c_List_Oremove1=1. c_List_Oreplicate=1. c_List_OremoveAll=1. c_List_OtakeWhile=1. c_List_Otake=1. c_List_Osublist=1. c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1=1. c_HOL_Ominus__class_Ominus=1. c_List_Osko__List__Xsplit__list__first__propE__1__2=1. c_List_Osko__List__Xsplit__list__first__prop__1__2=1. c_List_Osko__List__Xsplit__list__first__prop__iff__1__2=1. c_List_Osko__List__Xsplit__list__last__propE__1__2=1. c_List_Osko__List__Xsplit__list__last__prop__1__2=1. c_List_Osko__List__Xsplit__list__last__prop__iff__1__2=1. c_List_Osko__List__Xsplit__list__propE__1__2=1. c_List_Osko__List__Xsplit__list__prop__1__2=1. c_List_Osko__List__Xin__set__conv__decomp__first__1__1=1. c_List_Osko__List__Xin__set__conv__decomp__last__1__2=1. c_List_Osko__List__Xsplit__list__first__1__1=1. c_List_Osko__List__Xsplit__list__first__propE__1__1=1. c_List_Osko__List__Xsplit__list__first__prop__1__1=1. c_List_Osko__List__Xsplit__list__first__prop__iff__1__1=1. c_List_Osko__List__Xsplit__list__last__1__2=1. c_List_Osko__List__Xsplit__list__last__propE__1__3=1. c_List_Osko__List__Xsplit__list__last__prop__1__3=1. c_List_Osko__List__Xsplit__list__last__prop__iff__1__3=1. c_List_Omap=1. c_Map_Omap__upds=1.
% 29.69/29.92
% 29.69/29.92 ============================== end of process initial clauses ========
% 29.69/29.92
% 29.69/29.92 ============================== CLAUSES FOR SEARCH ====================
% 29.69/29.92
% 29.69/29.92 ============================== end of clauses for search =============
% 29.69/29.92
% 29.69/29.92 ============================== SEARCH ================================
% 29.69/29.92
% 29.69/29.92 % Starting search at 0.15 seconds.
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=54.000, iters=3346
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=50.000, iters=3368
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=49.000, iters=3344
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=47.000, iters=3348
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=45.000, iters=3394
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=43.000, iters=3399
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=42.000, iters=3394
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=41.000, iters=3425
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=39.000, iters=3425
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=38.000, iters=3385
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=36.000, iters=3335
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=35.000, iters=3409
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=34.000, iters=3336
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=33.000, iters=3339
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=32.000, iters=3416
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=31.000, iters=3343
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=30.000, iters=3413
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=29.000, iters=3352
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=28.000, iters=3333
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=27.000, iters=3357
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=26.000, iters=3337
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=25.000, iters=3334
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=24.000, iters=3351
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=23.000, iters=3375
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=22.000, iters=3342
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=21.000, iters=3339
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=20.000, iters=3336
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=19.000, iters=3352
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=18.000, iters=3335
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=17.000, iters=3397
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=16.000, iters=3340
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=15.000, iters=3334
% 29.69/29.92
% 29.69/29.92 Low Water (keep): wt=14.000, iters=3335
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=4532, wt=77.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=4519, wt=76.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=4141, wt=74.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=4517, wt=73.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=4533, wt=71.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=4520, wt=70.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=1945, wt=35.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=16586, wt=34.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=14647, wt=33.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=16420, wt=32.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=16687, wt=31.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=15010, wt=30.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=16769, wt=29.000
% 29.69/29.92
% 29.69/29.92 Low Water (displace): id=17207, wt=13.000
% 29.69/29.92
% 29.69/29.92 ============================== PROOF =================================
% 29.69/29.92 % SZS status Unsatisfiable
% 29.69/29.92 % SZS output start Refutation
% 29.69/29.92
% 29.69/29.92 % Proof 1 at 28.13 (+ 0.67) seconds.
% 29.69/29.92 % Length of proof is 10.
% 29.69/29.92 % Level of proof is 5.
% 29.69/29.92 % Maximum clause weight is 17.000.
% 29.69/29.92 % Given clauses 14942.
% 29.69/29.92
% 29.69/29.92 397 c_in(A,c_Message_Oparts(B),tc_Message_Omsg) | -c_in(c_Message_Omsg_OMPair(C,A),c_Message_Oparts(B),tc_Message_Omsg) # label(cls_parts_OSnd_0) # label(axiom). [assumption].
% 29.69/29.92 403 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].
% 29.69/29.92 406 c_in(A,c_Message_Oparts(B),tc_Message_Omsg) | -c_in(c_Message_Omsg_OCrypt(C,A),c_Message_Oparts(B),tc_Message_Omsg) # label(cls_parts_OBody_0) # label(axiom). [assumption].
% 29.69/29.92 416 c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 29.69/29.92 417 -c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 29.69/29.92 1911 c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg). [resolve(416,a,403,b)].
% 29.69/29.92 30354 c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg). [resolve(1911,a,406,b)].
% 29.69/29.92 36181 c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg). [resolve(30354,a,397,b)].
% 29.69/29.92 37939 c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg). [resolve(36181,a,397,b)].
% 29.69/29.92 38731 $F. [resolve(37939,a,397,b),unit_del(a,417)].
% 29.69/29.92
% 29.69/29.92 % SZS output end Refutation
% 29.69/29.92 ============================== end of proof ==========================
% 29.69/29.92
% 29.69/29.92 ============================== STATISTICS ============================
% 29.69/29.92
% 29.69/29.92 Given=14942. Generated=1266409. Kept=38644. proofs=1.
% 29.69/29.92 Usable=10906. Sos=9996. Demods=907. Limbo=15, Disabled=18216. Hints=0.
% 29.69/29.92 Megabytes=40.74.
% 29.69/29.92 User_CPU=28.13, System_CPU=0.67, Wall_clock=29.
% 29.69/29.92
% 29.69/29.92 ============================== end of statistics =====================
% 29.69/29.92
% 29.69/29.92 ============================== end of search =========================
% 29.69/29.92
% 29.69/29.92 THEOREM PROVED
% 29.69/29.92 % SZS status Unsatisfiable
% 29.69/29.92
% 29.69/29.92 Exiting with 1 proof.
% 29.69/29.92
% 29.69/29.92 Process 31901 exit (max_proofs) Wed Jun 15 01:05:13 2022
% 29.69/29.92 Prover9 interrupted
%------------------------------------------------------------------------------