TSTP Solution File: SWV748-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV748-1 : 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 21:14:39 EDT 2022
% Result : Unsatisfiable 21.85s 22.10s
% Output : Refutation 21.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SWV748-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.15 % Command : tptp2X_and_run_prover9 %d %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Wed Jun 15 11:26:43 EDT 2022
% 0.16/0.37 % CPUTime :
% 1.06/1.38 ============================== Prover9 ===============================
% 1.06/1.38 Prover9 (32) version 2009-11A, November 2009.
% 1.06/1.38 Process 1300 was started by sandbox2 on n021.cluster.edu,
% 1.06/1.38 Wed Jun 15 11:26:44 2022
% 1.06/1.38 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1143_n021.cluster.edu".
% 1.06/1.38 ============================== end of head ===========================
% 1.06/1.38
% 1.06/1.38 ============================== INPUT =================================
% 1.06/1.38
% 1.06/1.38 % Reading from file /tmp/Prover9_1143_n021.cluster.edu
% 1.06/1.38
% 1.06/1.38 set(prolog_style_variables).
% 1.06/1.38 set(auto2).
% 1.06/1.38 % set(auto2) -> set(auto).
% 1.06/1.38 % set(auto) -> set(auto_inference).
% 1.06/1.38 % set(auto) -> set(auto_setup).
% 1.06/1.38 % set(auto_setup) -> set(predicate_elim).
% 1.06/1.38 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.06/1.38 % set(auto) -> set(auto_limits).
% 1.06/1.38 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.06/1.38 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.06/1.38 % set(auto) -> set(auto_denials).
% 1.06/1.38 % set(auto) -> set(auto_process).
% 1.06/1.38 % set(auto2) -> assign(new_constants, 1).
% 1.06/1.38 % set(auto2) -> assign(fold_denial_max, 3).
% 1.06/1.38 % set(auto2) -> assign(max_weight, "200.000").
% 1.06/1.38 % set(auto2) -> assign(max_hours, 1).
% 1.06/1.38 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.06/1.38 % set(auto2) -> assign(max_seconds, 0).
% 1.06/1.38 % set(auto2) -> assign(max_minutes, 5).
% 1.06/1.38 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.06/1.38 % set(auto2) -> set(sort_initial_sos).
% 1.06/1.38 % set(auto2) -> assign(sos_limit, -1).
% 1.06/1.38 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.06/1.38 % set(auto2) -> assign(max_megs, 400).
% 1.06/1.38 % set(auto2) -> assign(stats, some).
% 1.06/1.38 % set(auto2) -> clear(echo_input).
% 1.06/1.38 % set(auto2) -> set(quiet).
% 1.06/1.38 % set(auto2) -> clear(print_initial_clauses).
% 1.06/1.38 % set(auto2) -> clear(print_given).
% 1.06/1.38 assign(lrs_ticks,-1).
% 1.06/1.38 assign(sos_limit,10000).
% 1.06/1.38 assign(order,kbo).
% 1.06/1.38 set(lex_order_vars).
% 1.06/1.38 clear(print_given).
% 1.06/1.38
% 1.06/1.38 % formulas(sos). % not echoed (620 formulas)
% 1.06/1.38
% 1.06/1.38 ============================== end of input ==========================
% 1.06/1.38
% 1.06/1.38 % From the command line: assign(max_seconds, 300).
% 1.06/1.38
% 1.06/1.38 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.06/1.38
% 1.06/1.38 % Formulas that are not ordinary clauses:
% 1.06/1.38
% 1.06/1.38 ============================== end of process non-clausal formulas ===
% 1.06/1.38
% 1.06/1.38 ============================== PROCESS INITIAL CLAUSES ===============
% 1.06/1.38
% 1.06/1.38 ============================== PREDICATE ELIMINATION =================
% 1.06/1.38 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.06/1.38 2 -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].
% 1.06/1.38 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].
% 1.06/1.38 4 -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].
% 1.06/1.38 5 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 1.06/1.38 6 -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].
% 1.06/1.38 7 -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].
% 1.06/1.38 8 -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].
% 1.06/1.38 9 -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].
% 1.06/1.38 10 -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].
% 1.06/1.38 11 -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].
% 1.06/1.38 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].
% 1.06/1.38 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].
% 1.06/1.38 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].
% 1.06/1.38 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].
% 1.06/1.38 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].
% 1.06/1.38 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].
% 1.06/1.38 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].
% 1.06/1.38 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].
% 1.06/1.38 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].
% 1.06/1.38 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,2,a)].
% 1.06/1.38 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)].
% 1.06/1.38 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,4,a)].
% 1.06/1.38 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,5,a)].
% 1.06/1.38 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,6,a)].
% 1.06/1.38 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,7,a)].
% 1.06/1.38 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,8,a)].
% 1.06/1.38 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,9,a)].
% 1.06/1.38 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)].
% 1.06/1.38 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)].
% 1.06/1.38 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)].
% 1.06/1.38 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)].
% 1.06/1.38 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)].
% 1.06/1.38 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)].
% 1.06/1.38 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)].
% 1.06/1.38 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.06/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,2,a)].
% 1.06/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,3,a)].
% 1.06/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,4,a)].
% 1.06/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,5,a)].
% 1.06/1.38 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,6,a)].
% 1.06/1.38 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,7,a)].
% 1.06/1.38 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,8,a)].
% 1.06/1.38 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,9,a)].
% 1.06/1.38 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)].
% 1.06/1.38 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)].
% 1.06/1.38 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)].
% 1.06/1.38 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,15,a)].
% 1.06/1.38 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,16,a)].
% 1.06/1.38 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)].
% 1.06/1.38 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)].
% 1.06/1.38 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.06/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,2,a)].
% 1.06/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,3,a)].
% 1.06/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,4,a)].
% 1.06/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,5,a)].
% 1.06/1.38 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,6,a)].
% 1.68/1.92 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,7,a)].
% 1.68/1.92 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,8,a)].
% 1.68/1.92 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,9,a)].
% 1.68/1.92 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)].
% 1.68/1.92 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)].
% 1.68/1.92 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)].
% 1.68/1.92 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,15,a)].
% 1.68/1.92 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,16,a)].
% 1.68/1.92 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)].
% 1.68/1.92 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)].
% 1.68/1.92 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.68/1.92 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.68/1.92 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 1.68/1.92 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 1.68/1.92 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 1.68/1.92 Derived: A = A. [resolve(25,b,26,a)].
% 1.68/1.92
% 1.68/1.92 ============================== end predicate elimination =============
% 1.68/1.92
% 1.68/1.92 Auto_denials: (non-Horn, no changes).
% 1.68/1.92
% 1.68/1.92 Term ordering decisions:
% 1.68/1.92 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. c_Message_Omsg_OKey=1. tc_nat=1. c_Public_OshrK=1. tc_Message_Oagent=1. c_Message_Oagent_OSpy=1. c_Event_Obad=1. v_K=1. v_KAB=1. v_Aa=1. v_Ba=1. v_A=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Message_Oagent_OServer=1. v_B=1. v_evs2=1. v_NA=1. c_Message_OsymKeys=1. v_x=1. v_NAa=1. t_a=1. t_b=1. v_A_H=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_Event_Oevent_OGets=1. c_List_Olists=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_Orderings_Otop__class_Otop=1. c_Event_Oused=1. c_Message_OinvKey=1. c_Public_OpublicKey=1. c_Message_OkeysFor=1. c_NS__Shared__Mirabelle_Ons__sharedp=1. c_List_Olist_ONil=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_Event_Oevent_OSays=1. c_List_Olist_OCons=1. c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1=1. c_Set_Oimage=1.
% 1.68/1.92
% 1.68/1.92 ============================== end of process initial clauses ========
% 1.68/1.92
% 1.68/1.92 ============================== CLAUSES FOR SEARCH ====================
% 1.68/1.92
% 1.68/1.92 ============================== end of clauses for search =============
% 1.68/1.92
% 1.68/1.92 ============================== SEARCH ================================
% 1.68/1.92
% 1.68/1.92 % Starting search at 0.21 seconds.
% 1.68/1.92
% 1.68/1.92 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 24 (0.00 of 0.47 sec).
% 1.68/1.92
% 1.68/1.92 Low Water (keep): wt=59.000, iters=3470
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=41.000, iters=3361
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=40.000, iters=3370
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=37.000, iters=3353
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=36.000, iters=3370
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=34.000, iters=3335
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=33.000, iters=3341
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=30.000, iters=3340
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=29.000, iters=3393
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=27.000, iters=3336
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=26.000, iters=3387
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=25.000, iters=3382
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=24.000, iters=3337
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=23.000, iters=3369
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=22.000, iters=3334
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=21.000, iters=3351
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=20.000, iters=3342
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=19.000, iters=3346
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=18.000, iters=3339
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=17.000, iters=3344
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=16.000, iters=3335
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=15.000, iters=3333
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=14.000, iters=3341
% 21.85/22.10
% 21.85/22.10 Low Water (keep): wt=13.000, iters=3370
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=14815, wt=51.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=11241, wt=48.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=11994, wt=36.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=11995, wt=35.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=2820, wt=31.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=11284, wt=30.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=16389, wt=28.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=16749, wt=27.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=17362, wt=26.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=17648, wt=25.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=18140, wt=24.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=18268, wt=23.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=19515, wt=22.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=21468, wt=21.000
% 21.85/22.10
% 21.85/22.10 Low Water (displace): id=26227, wt=18.000
% 21.85/22.10
% 21.85/22.10 ============================== PROOF =================================
% 21.85/22.10 % SZS status Unsatisfiable
% 21.85/22.10 % SZS output start Refutation
% 21.85/22.10
% 21.85/22.10 % Proof 1 at 20.45 (+ 0.36) seconds.
% 21.85/22.10 % Length of proof is 33.
% 21.85/22.10 % Level of proof is 9.
% 21.85/22.10 % Maximum clause weight is 35.000.
% 21.85/22.10 % Given clauses 12468.
% 21.85/22.10
% 21.85/22.10 393 hBOOL(c_in(A,c_Event_Oused(B),tc_Message_Omsg)) | -hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)) # label(cls_usedI_0) # label(axiom). [assumption].
% 21.85/22.10 421 c_Message_Oparts(c_Message_Oanalz(A)) = c_Message_Oparts(A) # label(cls_parts__analz_0) # label(axiom). [assumption].
% 21.85/22.10 423 hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg)) | -hBOOL(c_in(A,B,tc_Message_Omsg)) # label(cls_parts_OInj_0) # label(axiom). [assumption].
% 21.85/22.10 462 hBOOL(c_in(A,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)) | -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,C,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,C),c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(E,c_Message_Omsg_OMPair(A,F))))),c_List_Oset(B,tc_Event_Oevent),tc_Event_Oevent)) # label(cls_Oops__parts__spies_0) # label(axiom). [assumption].
% 21.85/22.10 524 hBOOL(c_in(A,B,C)) | -hBOOL(hAPP(B,A)) # label(cls_mem__def_1) # label(axiom). [assumption].
% 21.85/22.10 525 hBOOL(hAPP(A,B)) | -hBOOL(c_in(B,A,C)) # label(cls_mem__def_0) # label(axiom). [assumption].
% 21.85/22.10 546 -hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 21.85/22.10 549 -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 21.85/22.10 552 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) | v_A = v_Aa # label(cls_conjecture_6) # label(negated_conjecture). [assumption].
% 21.85/22.10 568 hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) | v_K = v_KAB # label(cls_conjecture_17) # label(negated_conjecture). [assumption].
% 21.85/22.10 569 hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) | v_KAB = v_K. [copy(568),flip(b)].
% 21.85/22.10 578 hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) | hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) # label(cls_conjecture_32) # label(negated_conjecture). [assumption].
% 21.85/22.10 579 hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)). [copy(578),merge(c)].
% 21.85/22.10 593 hAPP(c_Public_OshrK,v_Ba) != v_KAB | -hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) | v_K = v_KAB | v_K = v_KAB # label(cls_conjecture_40) # label(negated_conjecture). [assumption].
% 21.85/22.10 594 hAPP(c_Public_OshrK,v_Ba) != v_KAB | -hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) | v_KAB = v_K. [copy(593),flip(c),flip(d),merge(d)].
% 21.85/22.10 595 v_K = v_KAB | -hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) | -hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) | v_K = v_KAB # label(cls_conjecture_41) # label(negated_conjecture). [assumption].
% 21.85/22.10 596 v_KAB = v_K | -hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) | -hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)). [copy(595),flip(a),flip(d),merge(d)].
% 21.85/22.10 611 v_K = v_KAB | hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) | hAPP(c_Public_OshrK,v_Ba) = v_KAB | -hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) | v_K = v_KAB # label(cls_conjecture_53) # label(negated_conjecture). [assumption].
% 21.85/22.10 612 v_KAB = v_K | hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) | hAPP(c_Public_OshrK,v_Ba) = v_KAB | -hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)). [copy(611),flip(a),flip(e),merge(e)].
% 21.85/22.10 2291 v_A = v_Aa | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)). [resolve(552,a,462,b)].
% 21.85/22.10 2416 hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)). [resolve(579,b,423,b),rewrite([421(13)])].
% 21.85/22.10 2432 hAPP(c_Public_OshrK,v_Ba) != v_KAB | v_KAB = v_K. [resolve(594,b,569,a),merge(c)].
% 21.85/22.10 2434 v_KAB = v_K | hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) | hAPP(c_Public_OshrK,v_Ba) = v_KAB. [resolve(612,d,569,a),merge(d)].
% 21.85/22.10 25623 v_A = v_Aa | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)). [resolve(2291,b,393,b)].
% 21.85/22.10 26645 hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)). [resolve(2416,b,393,b),unit_del(b,549)].
% 21.85/22.10 26646 v_KAB = v_K | -hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)). [back_unit_del(596),unit_del(c,26645)].
% 21.85/22.10 26656 hBOOL(hAPP(c_Event_Obad,v_Aa)). [resolve(26645,a,525,b)].
% 21.85/22.10 26678 hBOOL(c_in(v_Aa,c_Event_Obad,A)). [resolve(26656,a,524,b)].
% 21.85/22.10 27194 v_KAB = v_K | hAPP(c_Public_OshrK,v_Ba) = v_KAB. [resolve(2434,b,26646,b),merge(c)].
% 21.85/22.10 27196 v_KAB = v_K. [resolve(27194,b,2432,a),merge(b)].
% 21.85/22.10 27975 -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)). [back_rewrite(549),rewrite([27196(2)])].
% 21.85/22.10 27978 v_A = v_Aa. [back_unit_del(25623),unit_del(b,27975)].
% 21.85/22.10 28147 $F. [back_rewrite(546),rewrite([27978(1)]),unit_del(a,26678)].
% 21.85/22.10
% 21.85/22.10 % SZS output end Refutation
% 21.85/22.10 ============================== end of proof ==========================
% 21.85/22.10
% 21.85/22.10 ============================== STATISTICS ============================
% 21.85/22.10
% 21.85/22.10 Given=12468. Generated=673997. Kept=27983. proofs=1.
% 21.85/22.10 Usable=10779. Sos=9443. Demods=721. Limbo=169, Disabled=8259. Hints=0.
% 21.85/22.10 Megabytes=28.84.
% 21.85/22.10 User_CPU=20.45, System_CPU=0.36, Wall_clock=21.
% 21.85/22.10
% 21.85/22.10 ============================== end of statistics =====================
% 21.85/22.10
% 21.85/22.10 ============================== end of search =========================
% 21.85/22.10
% 21.85/22.10 THEOREM PROVED
% 21.85/22.10 % SZS status Unsatisfiable
% 21.85/22.10
% 21.85/22.10 Exiting with 1 proof.
% 21.85/22.10
% 21.85/22.10 Process 1300 exit (max_proofs) Wed Jun 15 11:27:05 2022
% 21.85/22.10 Prover9 interrupted
%------------------------------------------------------------------------------