TSTP Solution File: SWV731-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV731-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 21:14:36 EDT 2022
% Result : Unsatisfiable 14.07s 14.38s
% Output : Refutation 14.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV731-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 22:48:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.95/1.28 ============================== Prover9 ===============================
% 0.95/1.28 Prover9 (32) version 2009-11A, November 2009.
% 0.95/1.28 Process 27502 was started by sandbox2 on n024.cluster.edu,
% 0.95/1.28 Wed Jun 15 22:48:04 2022
% 0.95/1.28 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27349_n024.cluster.edu".
% 0.95/1.28 ============================== end of head ===========================
% 0.95/1.28
% 0.95/1.28 ============================== INPUT =================================
% 0.95/1.28
% 0.95/1.28 % Reading from file /tmp/Prover9_27349_n024.cluster.edu
% 0.95/1.28
% 0.95/1.28 set(prolog_style_variables).
% 0.95/1.28 set(auto2).
% 0.95/1.28 % set(auto2) -> set(auto).
% 0.95/1.28 % set(auto) -> set(auto_inference).
% 0.95/1.28 % set(auto) -> set(auto_setup).
% 0.95/1.28 % set(auto_setup) -> set(predicate_elim).
% 0.95/1.28 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.95/1.28 % set(auto) -> set(auto_limits).
% 0.95/1.28 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.95/1.28 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.95/1.28 % set(auto) -> set(auto_denials).
% 0.95/1.28 % set(auto) -> set(auto_process).
% 0.95/1.28 % set(auto2) -> assign(new_constants, 1).
% 0.95/1.28 % set(auto2) -> assign(fold_denial_max, 3).
% 0.95/1.28 % set(auto2) -> assign(max_weight, "200.000").
% 0.95/1.28 % set(auto2) -> assign(max_hours, 1).
% 0.95/1.28 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.95/1.28 % set(auto2) -> assign(max_seconds, 0).
% 0.95/1.28 % set(auto2) -> assign(max_minutes, 5).
% 0.95/1.28 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.95/1.28 % set(auto2) -> set(sort_initial_sos).
% 0.95/1.28 % set(auto2) -> assign(sos_limit, -1).
% 0.95/1.28 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.95/1.28 % set(auto2) -> assign(max_megs, 400).
% 0.95/1.28 % set(auto2) -> assign(stats, some).
% 0.95/1.28 % set(auto2) -> clear(echo_input).
% 0.95/1.28 % set(auto2) -> set(quiet).
% 0.95/1.28 % set(auto2) -> clear(print_initial_clauses).
% 0.95/1.28 % set(auto2) -> clear(print_given).
% 0.95/1.28 assign(lrs_ticks,-1).
% 0.95/1.28 assign(sos_limit,10000).
% 0.95/1.28 assign(order,kbo).
% 0.95/1.28 set(lex_order_vars).
% 0.95/1.28 clear(print_given).
% 0.95/1.28
% 0.95/1.28 % formulas(sos). % not echoed (634 formulas)
% 0.95/1.28
% 0.95/1.28 ============================== end of input ==========================
% 0.95/1.28
% 0.95/1.28 % From the command line: assign(max_seconds, 300).
% 0.95/1.28
% 0.95/1.28 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.95/1.28
% 0.95/1.28 % Formulas that are not ordinary clauses:
% 0.95/1.28
% 0.95/1.28 ============================== end of process non-clausal formulas ===
% 0.95/1.28
% 0.95/1.28 ============================== PROCESS INITIAL CLAUSES ===============
% 0.95/1.28
% 0.95/1.28 ============================== PREDICATE ELIMINATION =================
% 0.95/1.28 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.28 2 -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].
% 0.95/1.28 3 -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].
% 0.95/1.28 4 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.95/1.28 5 -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].
% 0.95/1.28 6 -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].
% 0.95/1.28 7 -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].
% 0.95/1.28 8 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__supI_0) # label(axiom). [assumption].
% 0.95/1.28 9 -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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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].
% 0.95/1.28 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,2,a)].
% 0.95/1.28 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,3,a)].
% 0.95/1.28 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,4,a)].
% 0.95/1.28 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,5,a)].
% 0.95/1.28 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,6,a)].
% 0.95/1.28 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,7,a)].
% 0.95/1.28 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,8,a)].
% 0.95/1.28 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,9,a)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.28 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,2,a)].
% 0.95/1.28 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,3,a)].
% 0.95/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,4,a)].
% 0.95/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,5,a)].
% 0.95/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,6,a)].
% 0.95/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,7,a)].
% 0.95/1.28 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,8,a)].
% 0.95/1.28 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,9,a)].
% 0.95/1.28 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,10,a)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 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)].
% 0.95/1.28 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.28 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,2,a)].
% 0.95/1.28 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,3,a)].
% 0.95/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,4,a)].
% 0.95/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,5,a)].
% 0.95/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,6,a)].
% 0.95/1.40 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,7,a)].
% 0.95/1.40 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,8,a)].
% 0.95/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,9,a)].
% 0.95/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,10,a)].
% 0.95/1.40 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)].
% 0.95/1.40 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)].
% 0.95/1.40 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool). [resolve(22,a,15,a)].
% 0.95/1.40 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool). [resolve(22,a,16,a)].
% 0.95/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(22,a,17,a)].
% 0.95/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(22,a,18,a)].
% 0.95/1.40 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.95/1.40 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.95/1.40 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 0.95/1.40 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 0.95/1.40 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 0.95/1.40 Derived: A = A. [resolve(25,b,26,a)].
% 0.95/1.40
% 0.95/1.40 ============================== end predicate elimination =============
% 0.95/1.40
% 0.95/1.40 Auto_denials: (non-Horn, no changes).
% 0.95/1.40
% 0.95/1.40 Term ordering decisions:
% 0.95/1.40 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_nat=1. tc_Event_Oevent=1. c_Message_Omsg_OKey=1. c_Message_Oagent_OSpy=1. c_Public_OshrK=1. tc_Message_Oagent=1. c_Message_OinvKey=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. c_Message_OsymKeys=1. t_a=1. v_x=1. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=1. v_K=1. v_A=1. v_B=1. v_X=1. v_evs=1. v_NA=1. hAPP=1. tc_fun=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_Message_Osynthp=1. c_Complete__Lattice_OSup__class_OSup=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_in=1. c_Message_Oanalz=1. c_Message_Oparts=1. c_Message_Osynth=1. c_Orderings_Obot__class_Obot=1. c_Orderings_Otop__class_Otop=1. c_Message_Omsg_ONonce=1. c_Message_Omsg_OAgent=1. c_Event_Oused=1. c_Public_OpublicKey=1. tc_List_Olist=1. c_Message_OkeysFor=1. c_Message_Omsg_OHash=1. c_NS__Shared__Mirabelle_Ons__sharedp=1. c_Event_OinitState=1. c_List_Olist_ONil=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. c_Hilbert__Choice_Oinv__into=1. c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1=1. c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1=1. c_ATP__Linkup_Osko__Set__XrangeE__1__1=1. c_COMBC=1. c_COMBB=1. c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2=1.
% 0.95/1.40
% 0.95/1.40 ============================== end of process initial clauses ========
% 14.07/14.38
% 14.07/14.38 ============================== CLAUSES FOR SEARCH ====================
% 14.07/14.38
% 14.07/14.38 ============================== end of clauses for search =============
% 14.07/14.38
% 14.07/14.38 ============================== SEARCH ================================
% 14.07/14.38
% 14.07/14.38 % Starting search at 0.20 seconds.
% 14.07/14.38
% 14.07/14.38 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 23 (0.00 of 0.47 sec).
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=45.000, iters=3381
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=43.000, iters=3409
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=42.000, iters=3384
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=40.000, iters=3344
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=39.000, iters=3449
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=38.000, iters=3453
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=35.000, iters=3364
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=33.000, iters=3345
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=32.000, iters=3345
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=31.000, iters=3368
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=30.000, iters=3349
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=29.000, iters=3350
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=27.000, iters=3348
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=26.000, iters=3344
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=25.000, iters=3349
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=24.000, iters=3358
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=23.000, iters=3340
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=22.000, iters=3542
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=21.000, iters=3429
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=20.000, iters=3336
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=19.000, iters=3333
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=18.000, iters=3343
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=17.000, iters=3340
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=16.000, iters=3334
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=15.000, iters=3631
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=14.000, iters=3334
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=13.000, iters=3334
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=12.000, iters=3336
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=2843, wt=86.000
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=3133, wt=82.000
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=2840, wt=81.000
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=3089, wt=78.000
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=3131, wt=77.000
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=2838, wt=76.000
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=2837, wt=73.000
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=4714, wt=44.000
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=14603, wt=28.000
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=14749, wt=11.000
% 14.07/14.38
% 14.07/14.38 Low Water (keep): wt=11.000, iters=3762
% 14.07/14.38
% 14.07/14.38 Low Water (displace): id=34315, wt=10.000
% 14.07/14.38
% 14.07/14.38 ============================== PROOF =================================
% 14.07/14.38 % SZS status Unsatisfiable
% 14.07/14.38 % SZS output start Refutation
% 14.07/14.38
% 14.07/14.38 % Proof 1 at 12.86 (+ 0.30) seconds.
% 14.07/14.38 % Length of proof is 24.
% 14.07/14.38 % Level of proof is 10.
% 14.07/14.38 % Maximum clause weight is 20.000.
% 14.07/14.38 % Given clauses 10070.
% 14.07/14.38
% 14.07/14.38 45 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].
% 14.07/14.38 103 -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)) # label(cls_bot1E_0) # label(axiom). [assumption].
% 14.07/14.38 258 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].
% 14.07/14.38 454 A != c_List_Olist_OCons(B,A,C) # label(cls_not__Cons__self_0) # label(axiom). [assumption].
% 14.07/14.38 455 c_List_Olist_OCons(A,B,C) != B. [copy(454),flip(a)].
% 14.07/14.38 462 c_List_Olist_OCons(A,B,C) != c_List_Olist_ONil(C) # label(cls_list_Osimps_I3_J_0) # label(axiom). [assumption].
% 14.07/14.38 464 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | -hBOOL(hAPP(B,D)) # label(cls_insert__code_2) # label(axiom). [assumption].
% 14.07/14.38 470 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].
% 14.07/14.38 481 hBOOL(hAPP(A,B)) | C = B | -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)) # label(cls_insert__code_0) # label(axiom). [assumption].
% 14.07/14.38 495 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 14.07/14.38 1196 -hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(A),A),B)). [para(258(a,2),103(a,1,1))].
% 14.07/14.38 1945 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(470(a,1),481(c,1,1))].
% 14.07/14.38 2006 hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),E),B)). [resolve(495,a,464,b)].
% 14.07/14.38 2009 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(495,a,45,c)].
% 14.07/14.38 30935 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C),D)). [resolve(2009,b,2006,a)].
% 14.07/14.38 30980 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),C)) | c_Public_Okeymode_OEncryption = C. [resolve(30935,a,1945,c)].
% 14.07/14.38 30994 c_Public_Okeymode_OEncryption = A | hBOOL(hAPP(B,A)) | c_Public_Okeymode_OSignature = A. [resolve(30980,a,481,c)].
% 14.07/14.38 31015 c_Public_Okeymode_OEncryption = A | c_Public_Okeymode_OSignature = A. [resolve(30994,b,1196,a)].
% 14.07/14.38 31027 c_List_Olist_OCons(A,c_Public_Okeymode_OSignature,B) = c_Public_Okeymode_OEncryption. [resolve(31015,b,455,a(flip)),flip(a)].
% 14.07/14.38 31120 c_List_Olist_ONil(A) = c_Public_Okeymode_OEncryption | c_List_Olist_OCons(B,C,A) != c_Public_Okeymode_OSignature. [para(31015(b,2),462(a,2)),flip(a)].
% 14.07/14.38 34058 c_List_Olist_ONil(A) != c_Public_Okeymode_OEncryption. [para(31027(a,1),462(a,1)),flip(a)].
% 14.07/14.38 34224 c_List_Olist_OCons(A,B,C) != c_Public_Okeymode_OSignature. [back_unit_del(31120),unit_del(a,34058)].
% 14.07/14.38 34442 c_List_Olist_OCons(A,B,C) = c_Public_Okeymode_OEncryption. [resolve(34224,a,31015,b(flip)),flip(a)].
% 14.07/14.38 34443 $F. [resolve(34442,a,455,a)].
% 14.07/14.38
% 14.07/14.38 % SZS output end Refutation
% 14.07/14.38 ============================== end of proof ==========================
% 14.07/14.38
% 14.07/14.38 ============================== STATISTICS ============================
% 14.07/14.38
% 14.07/14.38 Given=10070. Generated=488125. Kept=34304. proofs=1.
% 14.07/14.38 Usable=9919. Sos=9998. Demods=647. Limbo=0, Disabled=15067. Hints=0.
% 14.07/14.38 Megabytes=40.45.
% 14.07/14.38 User_CPU=12.86, System_CPU=0.30, Wall_clock=13.
% 14.07/14.38
% 14.07/14.38 ============================== end of statistics =====================
% 14.07/14.38
% 14.07/14.38 ============================== end of search =========================
% 14.07/14.38
% 14.07/14.38 THEOREM PROVED
% 14.07/14.38 % SZS status Unsatisfiable
% 14.07/14.38
% 14.07/14.38 Exiting with 1 proof.
% 14.07/14.38
% 14.07/14.38 Process 27502 exit (max_proofs) Wed Jun 15 22:48:17 2022
% 14.07/14.38 Prover9 interrupted
%------------------------------------------------------------------------------