TSTP Solution File: SWV763-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV763-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 21:14:43 EDT 2022
% Result : Unsatisfiable 2.37s 2.67s
% Output : Refutation 2.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SWV763-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.08/0.29 % Computer : n013.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Wed Jun 15 22:12:44 EDT 2022
% 0.08/0.29 % CPUTime :
% 1.04/1.37 ============================== Prover9 ===============================
% 1.04/1.37 Prover9 (32) version 2009-11A, November 2009.
% 1.04/1.37 Process 16774 was started by sandbox2 on n013.cluster.edu,
% 1.04/1.37 Wed Jun 15 22:12:45 2022
% 1.04/1.37 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_16621_n013.cluster.edu".
% 1.04/1.37 ============================== end of head ===========================
% 1.04/1.37
% 1.04/1.37 ============================== INPUT =================================
% 1.04/1.37
% 1.04/1.37 % Reading from file /tmp/Prover9_16621_n013.cluster.edu
% 1.04/1.37
% 1.04/1.37 set(prolog_style_variables).
% 1.04/1.37 set(auto2).
% 1.04/1.37 % set(auto2) -> set(auto).
% 1.04/1.37 % set(auto) -> set(auto_inference).
% 1.04/1.37 % set(auto) -> set(auto_setup).
% 1.04/1.37 % set(auto_setup) -> set(predicate_elim).
% 1.04/1.37 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.04/1.37 % set(auto) -> set(auto_limits).
% 1.04/1.37 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.04/1.37 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.04/1.37 % set(auto) -> set(auto_denials).
% 1.04/1.37 % set(auto) -> set(auto_process).
% 1.04/1.37 % set(auto2) -> assign(new_constants, 1).
% 1.04/1.37 % set(auto2) -> assign(fold_denial_max, 3).
% 1.04/1.37 % set(auto2) -> assign(max_weight, "200.000").
% 1.04/1.37 % set(auto2) -> assign(max_hours, 1).
% 1.04/1.37 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.04/1.37 % set(auto2) -> assign(max_seconds, 0).
% 1.04/1.37 % set(auto2) -> assign(max_minutes, 5).
% 1.04/1.37 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.04/1.37 % set(auto2) -> set(sort_initial_sos).
% 1.04/1.37 % set(auto2) -> assign(sos_limit, -1).
% 1.04/1.37 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.04/1.37 % set(auto2) -> assign(max_megs, 400).
% 1.04/1.37 % set(auto2) -> assign(stats, some).
% 1.04/1.37 % set(auto2) -> clear(echo_input).
% 1.04/1.37 % set(auto2) -> set(quiet).
% 1.04/1.37 % set(auto2) -> clear(print_initial_clauses).
% 1.04/1.37 % set(auto2) -> clear(print_given).
% 1.04/1.37 assign(lrs_ticks,-1).
% 1.04/1.37 assign(sos_limit,10000).
% 1.04/1.37 assign(order,kbo).
% 1.04/1.37 set(lex_order_vars).
% 1.04/1.37 clear(print_given).
% 1.04/1.37
% 1.04/1.37 % formulas(sos). % not echoed (602 formulas)
% 1.04/1.37
% 1.04/1.37 ============================== end of input ==========================
% 1.04/1.37
% 1.04/1.37 % From the command line: assign(max_seconds, 300).
% 1.04/1.37
% 1.04/1.37 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.04/1.37
% 1.04/1.37 % Formulas that are not ordinary clauses:
% 1.04/1.37
% 1.04/1.37 ============================== end of process non-clausal formulas ===
% 1.04/1.37
% 1.04/1.37 ============================== PROCESS INITIAL CLAUSES ===============
% 1.04/1.37
% 1.04/1.37 ============================== PREDICATE ELIMINATION =================
% 1.04/1.37 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.04/1.37 2 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 1.04/1.37 3 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom). [assumption].
% 1.04/1.37 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_1) # label(axiom). [assumption].
% 1.04/1.37 5 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom). [assumption].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 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].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,2,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = B | -c_lessequals(C,B,tc_fun(D,A)). [resolve(1,a,3,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) != C | c_lessequals(B,C,tc_fun(D,A)). [resolve(1,a,4,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = C | -c_lessequals(B,C,tc_fun(D,A)). [resolve(1,a,5,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(1,a,6,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(1,a,7,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)). [resolve(1,a,8,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)). [resolve(1,a,9,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,E,tc_fun(D,A)),tc_fun(D,A)). [resolve(1,a,12,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(E,A)),tc_fun(E,A)). [resolve(1,a,13,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)). [resolve(1,a,14,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)). [resolve(1,a,15,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)),tc_fun(D,A)). [resolve(1,a,16,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)). [resolve(1,a,19,a)].
% 1.04/1.37 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)). [resolve(1,a,20,a)].
% 1.04/1.37 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,2,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,3,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,4,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,5,a)].
% 1.04/1.37 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat). [resolve(21,a,6,a)].
% 1.04/1.37 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat). [resolve(21,a,7,a)].
% 1.04/1.37 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(21,a,8,a)].
% 1.04/1.37 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(21,a,9,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat). [resolve(21,a,12,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),tc_nat). [resolve(21,a,13,a)].
% 1.04/1.37 Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(21,a,14,a)].
% 1.04/1.37 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,15,a)].
% 1.04/1.37 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,16,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,19,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat). [resolve(21,a,20,a)].
% 1.04/1.37 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,2,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,3,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,4,a)].
% 1.04/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,5,a)].
% 1.04/1.37 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)].
% 1.04/1.41 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)].
% 1.04/1.41 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)].
% 1.04/1.41 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)].
% 1.04/1.41 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)].
% 1.04/1.41 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)].
% 1.04/1.41 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)].
% 1.04/1.41 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,15,a)].
% 1.04/1.41 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,16,a)].
% 1.04/1.41 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)].
% 1.04/1.41 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)].
% 1.04/1.41 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.04/1.41 24 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(B,A) | -c_List_Olinorder__class_Osorted(c_List_Oappend(B,C,A),A) # label(cls_sorted__append_0) # label(axiom). [assumption].
% 1.04/1.41 25 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(A),A) # label(cls_sorted_Osimps_I1_J_0) # label(axiom). [assumption].
% 1.04/1.41 26 -class_Orderings_Olinorder(A) | c_List_Oset(B,A) != c_List_Oset(C,A) | -c_List_Odistinct(C,A) | -c_List_Olinorder__class_Osorted(C,A) | -c_List_Odistinct(B,A) | -c_List_Olinorder__class_Osorted(B,A) | B = C # label(cls_sorted__distinct__set__unique_0) # label(axiom). [assumption].
% 1.04/1.41 27 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,A),A) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(D,c_List_Olist_OCons(B,C,A),A),A) # label(cls_sorted_Osimps_I3_J_1) # label(axiom). [assumption].
% 1.04/1.41 28 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | -hBOOL(c_in(C,c_List_Oset(D,A),A)) | -hBOOL(c_in(B,c_List_Oset(E,A),A)) | -c_List_Olinorder__class_Osorted(c_List_Oappend(E,D,A),A) # label(cls_sorted__append_2) # label(axiom). [assumption].
% 1.04/1.41 29 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(B,A) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(C,B,A),A) # label(cls_sorted__Cons_0) # label(axiom). [assumption].
% 1.04/1.41 30 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_ONil(A),A),A) # label(cls_sorted_Osimps_I2_J_0) # label(axiom). [assumption].
% 1.04/1.41 31 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(B,A) | -c_List_Olinorder__class_Osorted(c_List_Oappend(C,B,A),A) # label(cls_sorted__append_1) # label(axiom). [assumption].
% 1.04/1.41 32 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Oremdups(B,A),A) | -c_List_Olinorder__class_Osorted(B,A) # label(cls_sorted__remdups_0) # label(axiom). [assumption].
% 1.04/1.41 33 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_OCons(C,D,A),A),A) # label(cls_sorted_Osimps_I3_J_0) # label(axiom). [assumption].
% 1.04/1.41 34 -class_Orderings_Olinorder(A) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,c_List_Olist_OCons(C,D,A),A),A) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(C,D,A),A) | -c_lessequals(B,C,A) # label(cls_sorted_Osimps_I3_J_2) # label(axiom). [assumption].
% 1.04/1.50 35 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | -hBOOL(c_in(C,c_List_Oset(D,A),A)) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,D,A),A) # label(cls_sorted__Cons_1) # label(axiom). [assumption].
% 1.04/1.50 36 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.04/1.50 Derived: c_List_Olinorder__class_Osorted(A,tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Oappend(A,B,tc_nat),tc_nat). [resolve(23,a,24,a)].
% 1.04/1.50 Derived: c_List_Olinorder__class_Osorted(c_List_Olist_ONil(tc_nat),tc_nat). [resolve(23,a,25,a)].
% 1.04/1.50 Derived: c_List_Oset(A,tc_nat) != c_List_Oset(B,tc_nat) | -c_List_Odistinct(B,tc_nat) | -c_List_Olinorder__class_Osorted(B,tc_nat) | -c_List_Odistinct(A,tc_nat) | -c_List_Olinorder__class_Osorted(A,tc_nat) | A = B. [resolve(23,a,26,a)].
% 1.04/1.50 Derived: c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,B,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(C,c_List_Olist_OCons(A,B,tc_nat),tc_nat),tc_nat). [resolve(23,a,27,a)].
% 1.04/1.50 Derived: c_lessequals(A,B,tc_nat) | -hBOOL(c_in(B,c_List_Oset(C,tc_nat),tc_nat)) | -hBOOL(c_in(A,c_List_Oset(D,tc_nat),tc_nat)) | -c_List_Olinorder__class_Osorted(c_List_Oappend(D,C,tc_nat),tc_nat). [resolve(23,a,28,a)].
% 1.04/1.50 Derived: c_List_Olinorder__class_Osorted(A,tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,A,tc_nat),tc_nat). [resolve(23,a,29,a)].
% 1.04/1.50 Derived: c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,c_List_Olist_ONil(tc_nat),tc_nat),tc_nat). [resolve(23,a,30,a)].
% 1.04/1.50 Derived: c_List_Olinorder__class_Osorted(A,tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Oappend(B,A,tc_nat),tc_nat). [resolve(23,a,31,a)].
% 1.04/1.50 Derived: c_List_Olinorder__class_Osorted(c_List_Oremdups(A,tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(A,tc_nat). [resolve(23,a,32,a)].
% 1.04/1.50 Derived: c_lessequals(A,B,tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,c_List_Olist_OCons(B,C,tc_nat),tc_nat),tc_nat). [resolve(23,a,33,a)].
% 1.04/1.50 Derived: c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,c_List_Olist_OCons(B,C,tc_nat),tc_nat),tc_nat) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(23,a,34,a)].
% 1.04/1.50 Derived: c_lessequals(A,B,tc_nat) | -hBOOL(c_in(B,c_List_Oset(C,tc_nat),tc_nat)) | -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(A,C,tc_nat),tc_nat). [resolve(23,a,35,a)].
% 1.04/1.50 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,36,a)].
% 1.04/1.50 37 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 1.04/1.50 38 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 1.04/1.50 Derived: A = A. [resolve(37,b,38,a)].
% 1.04/1.50
% 1.04/1.50 ============================== end predicate elimination =============
% 1.04/1.50
% 1.04/1.50 Auto_denials: (non-Horn, no changes).
% 1.04/1.50
% 1.04/1.50 Term ordering decisions:
% 1.04/1.50 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. tc_nat=1. c_Message_Omsg_OKey=1. c_Message_Oagent_OSpy=1. c_Public_OshrK=1. tc_Message_Oagent=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. c_Message_OsymKeys=1. v_x=1. v_evs2=1. v_A=1. t_a=1. v_KAB=1. t_b=1. v_Aa=1. v_B=1. v_Ba=1. v_K=1. v_X=1. v_NA=1. v_NAa=1. v_NB=1. v_A_H=1. tc_fun=1. hAPP=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_List_Oset=1. c_Event_Oknows=1. c_HOL_Ouminus__class_Ouminus=1. c_Event_Oevent_ONotes=1. c_List_Oremdups=1. c_Event_Oevent_OGets=1. c_List_Olists=1. c_Inductive_Ocomplete__lattice__class_Ogfp=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1=1. c_List_Olength__unique=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2=1. c_Message_Oanalz=1. c_Message_Oparts=1. c_Message_Osynth=1. c_Message_Omsg_OAgent=1. c_Message_Omsg_ONonce=1. c_List_Olist_ONil=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_Event_OinitState=1. c_Public_Osko__Public__XNonce__supply1__1__1=1. c_in=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Set_Oinsert=1. c_List_Olist_OCons=1. c_Event_Oevent_OSays=1. c_List_Oappend=1. c_List_Olist__inter=1. c_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__XSpy__not__see__encrypted__key__1=1. v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1=1. c_Set_Oimage=1. c_List_Olist__update=1. c_ATP__Linkup_Osko__Set__XrangeE__1__1=1. v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1=1. c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1=1. c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1=1.
% 2.37/2.67
% 2.37/2.67 ============================== end of process initial clauses ========
% 2.37/2.67
% 2.37/2.67 ============================== CLAUSES FOR SEARCH ====================
% 2.37/2.67
% 2.37/2.67 ============================== end of clauses for search =============
% 2.37/2.67
% 2.37/2.67 ============================== SEARCH ================================
% 2.37/2.67
% 2.37/2.67 % Starting search at 0.19 seconds.
% 2.37/2.67
% 2.37/2.67 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 21 (0.00 of 0.63 sec).
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=46.000, iters=3458
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=42.000, iters=3405
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=38.000, iters=3376
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=37.000, iters=3363
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=36.000, iters=3343
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=35.000, iters=3422
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=33.000, iters=3371
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=32.000, iters=3357
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=31.000, iters=3364
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=30.000, iters=3344
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=29.000, iters=3461
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=28.000, iters=3393
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=27.000, iters=3371
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=26.000, iters=3529
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=25.000, iters=3388
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=24.000, iters=3381
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=23.000, iters=3345
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=22.000, iters=3368
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=21.000, iters=3344
% 2.37/2.67
% 2.37/2.67 Low Water (keep): wt=20.000, iters=3339
% 2.37/2.67
% 2.37/2.67 ============================== PROOF =================================
% 2.37/2.67 % SZS status Unsatisfiable
% 2.37/2.67 % SZS output start Refutation
% 2.37/2.67
% 2.37/2.67 % Proof 1 at 1.33 (+ 0.03) seconds.
% 2.37/2.67 % Length of proof is 14.
% 2.37/2.67 % Level of proof is 3.
% 2.37/2.67 % Maximum clause weight is 28.000.
% 2.37/2.67 % Given clauses 1259.
% 2.37/2.67
% 2.37/2.67 462 hBOOL(c_in(A,c_Message_OkeysFor(B),tc_nat)) | -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat)) | -hBOOL(c_in(c_Message_Omsg_OCrypt(A,C),B,tc_Message_Omsg)) # label(cls_Crypt__imp__keysFor_0) # label(axiom). [assumption].
% 2.37/2.67 481 -hBOOL(c_in(A,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B))),tc_nat)) | -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) | -hBOOL(c_in(A,c_Message_OsymKeys,tc_nat)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,A),c_Event_Oused(B),tc_Message_Omsg)) # label(cls_new__keys__not__used_0) # label(axiom). [assumption].
% 2.37/2.67 543 hBOOL(c_in(A,B,C)) | -hBOOL(hAPP(B,A)) # label(cls_mem__def_1) # label(axiom). [assumption].
% 2.37/2.67 544 hBOOL(hAPP(A,B)) | -hBOOL(c_in(B,A,C)) # label(cls_mem__def_0) # label(axiom). [assumption].
% 2.37/2.67 562 hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 2.37/2.67 563 -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 2.37/2.67 564 hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 2.37/2.67 576 hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) # label(cls_conjecture_10) # label(negated_conjecture). [assumption].
% 2.37/2.67 2560 hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)). [resolve(562,a,544,b)].
% 2.37/2.67 2570 hBOOL(hAPP(c_Message_OsymKeys,v_KAB)). [resolve(564,a,544,b)].
% 2.37/2.67 2636 hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)). [resolve(576,a,462,c),unit_del(b,564)].
% 2.37/2.67 2910 hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,A)). [resolve(2560,a,543,b)].
% 2.37/2.67 2914 hBOOL(c_in(v_KAB,c_Message_OsymKeys,A)). [resolve(2570,a,543,b)].
% 2.37/2.67 7407 $F. [resolve(2636,a,481,a),unit_del(a,2910),unit_del(b,2914),unit_del(c,563)].
% 2.37/2.67
% 2.37/2.67 % SZS output end Refutation
% 2.37/2.67 ============================== end of proof ==========================
% 2.37/2.67
% 2.37/2.67 ============================== STATISTICS ============================
% 2.37/2.67
% 2.37/2.67 Given=1259. Generated=17967. Kept=7252. proofs=1.
% 2.37/2.67 Usable=1237. Sos=5369. Demods=750. Limbo=1, Disabled=1306. Hints=0.
% 2.37/2.67 Megabytes=15.32.
% 2.37/2.67 User_CPU=1.34, System_CPU=0.03, Wall_clock=1.
% 2.37/2.67
% 2.37/2.67 ============================== end of statistics =====================
% 2.37/2.67
% 2.37/2.67 ============================== end of search =========================
% 2.37/2.67
% 2.37/2.67 THEOREM PROVED
% 2.37/2.67 % SZS status Unsatisfiable
% 2.37/2.67
% 2.37/2.67 Exiting with 1 proof.
% 2.37/2.67
% 2.37/2.67 Process 16774 exit (max_proofs) Wed Jun 15 22:12:46 2022
% 2.37/2.67 Prover9 interrupted
%------------------------------------------------------------------------------