TSTP Solution File: SWV750-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV750-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 21:14:40 EDT 2022
% Result : Unsatisfiable 7.57s 7.83s
% Output : Refutation 7.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV750-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n025.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 14:17:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.98/1.27 ============================== Prover9 ===============================
% 0.98/1.27 Prover9 (32) version 2009-11A, November 2009.
% 0.98/1.27 Process 19052 was started by sandbox on n025.cluster.edu,
% 0.98/1.27 Wed Jun 15 14:17:56 2022
% 0.98/1.27 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18899_n025.cluster.edu".
% 0.98/1.27 ============================== end of head ===========================
% 0.98/1.27
% 0.98/1.27 ============================== INPUT =================================
% 0.98/1.27
% 0.98/1.27 % Reading from file /tmp/Prover9_18899_n025.cluster.edu
% 0.98/1.27
% 0.98/1.27 set(prolog_style_variables).
% 0.98/1.27 set(auto2).
% 0.98/1.27 % set(auto2) -> set(auto).
% 0.98/1.27 % set(auto) -> set(auto_inference).
% 0.98/1.27 % set(auto) -> set(auto_setup).
% 0.98/1.27 % set(auto_setup) -> set(predicate_elim).
% 0.98/1.27 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.98/1.27 % set(auto) -> set(auto_limits).
% 0.98/1.27 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.98/1.27 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.98/1.27 % set(auto) -> set(auto_denials).
% 0.98/1.27 % set(auto) -> set(auto_process).
% 0.98/1.27 % set(auto2) -> assign(new_constants, 1).
% 0.98/1.27 % set(auto2) -> assign(fold_denial_max, 3).
% 0.98/1.27 % set(auto2) -> assign(max_weight, "200.000").
% 0.98/1.27 % set(auto2) -> assign(max_hours, 1).
% 0.98/1.27 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.98/1.27 % set(auto2) -> assign(max_seconds, 0).
% 0.98/1.27 % set(auto2) -> assign(max_minutes, 5).
% 0.98/1.27 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.98/1.27 % set(auto2) -> set(sort_initial_sos).
% 0.98/1.27 % set(auto2) -> assign(sos_limit, -1).
% 0.98/1.27 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.98/1.27 % set(auto2) -> assign(max_megs, 400).
% 0.98/1.27 % set(auto2) -> assign(stats, some).
% 0.98/1.27 % set(auto2) -> clear(echo_input).
% 0.98/1.27 % set(auto2) -> set(quiet).
% 0.98/1.27 % set(auto2) -> clear(print_initial_clauses).
% 0.98/1.27 % set(auto2) -> clear(print_given).
% 0.98/1.27 assign(lrs_ticks,-1).
% 0.98/1.27 assign(sos_limit,10000).
% 0.98/1.27 assign(order,kbo).
% 0.98/1.27 set(lex_order_vars).
% 0.98/1.27 clear(print_given).
% 0.98/1.27
% 0.98/1.27 % formulas(sos). % not echoed (691 formulas)
% 0.98/1.27
% 0.98/1.27 ============================== end of input ==========================
% 0.98/1.27
% 0.98/1.27 % From the command line: assign(max_seconds, 300).
% 0.98/1.27
% 0.98/1.27 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.98/1.27
% 0.98/1.27 % Formulas that are not ordinary clauses:
% 0.98/1.27
% 0.98/1.27 ============================== end of process non-clausal formulas ===
% 0.98/1.27
% 0.98/1.27 ============================== PROCESS INITIAL CLAUSES ===============
% 0.98/1.27
% 0.98/1.27 ============================== PREDICATE ELIMINATION =================
% 0.98/1.27 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.98/1.27 2 -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].
% 0.98/1.27 3 -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].
% 0.98/1.27 4 -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].
% 0.98/1.27 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].
% 0.98/1.27 6 -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].
% 0.98/1.27 7 -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].
% 0.98/1.27 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__sup__iff_2) # label(axiom). [assumption].
% 0.98/1.27 9 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.98/1.27 10 -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].
% 0.98/1.27 11 -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].
% 0.98/1.27 12 -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].
% 0.98/1.27 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].
% 0.98/1.27 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].
% 0.98/1.27 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].
% 0.98/1.27 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].
% 0.98/1.27 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].
% 0.98/1.27 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].
% 0.98/1.27 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].
% 0.98/1.27 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].
% 0.98/1.27 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,2,a)].
% 0.98/1.27 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,3,a)].
% 0.98/1.27 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,4,a)].
% 0.98/1.27 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)].
% 0.98/1.27 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,6,a)].
% 0.98/1.27 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,9,a)].
% 0.98/1.27 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,10,a)].
% 0.98/1.27 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,11,a)].
% 0.98/1.27 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,12,a)].
% 0.98/1.27 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)].
% 0.98/1.28 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)].
% 0.98/1.28 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)].
% 0.98/1.28 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)].
% 0.98/1.28 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)].
% 0.98/1.28 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)].
% 0.98/1.28 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.98/1.28 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,2,a)].
% 0.98/1.28 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,3,a)].
% 0.98/1.28 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,4,a)].
% 0.98/1.28 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,5,a)].
% 0.98/1.28 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,6,a)].
% 0.98/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,9,a)].
% 0.98/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,10,a)].
% 0.98/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,11,a)].
% 0.98/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,12,a)].
% 0.98/1.28 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)].
% 0.98/1.28 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)].
% 0.98/1.28 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)].
% 0.98/1.28 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)].
% 0.98/1.28 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)].
% 0.98/1.28 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)].
% 0.98/1.28 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.98/1.28 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,2,a)].
% 0.98/1.28 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,3,a)].
% 0.98/1.28 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,4,a)].
% 0.98/1.37 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,5,a)].
% 0.98/1.37 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,6,a)].
% 0.98/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,9,a)].
% 0.98/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,10,a)].
% 0.98/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,11,a)].
% 0.98/1.37 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,12,a)].
% 0.98/1.37 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)].
% 0.98/1.37 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)].
% 0.98/1.37 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,15,a)].
% 0.98/1.37 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)].
% 0.98/1.37 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)].
% 0.98/1.37 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)].
% 0.98/1.37 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.98/1.37 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.98/1.37 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 0.98/1.37 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 0.98/1.37 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 0.98/1.37 Derived: A = A. [resolve(25,b,26,a)].
% 0.98/1.37
% 0.98/1.37 ============================== end predicate elimination =============
% 0.98/1.37
% 0.98/1.37 Auto_denials: (non-Horn, no changes).
% 0.98/1.37
% 0.98/1.37 Term ordering decisions:
% 0.98/1.37 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_OinvKey=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. c_Message_OsymKeys=1. v_x=1. t_a=1. v_A=1. v_K=1. v_evso=1. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=1. v_Aa=1. v_Ka=1. v_B=1. v_Ba=1. t_b=1. v_NA=1. v_NAa=1. v_NB=1. v_X=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_Message_OHPair=1. c_Event_Oevent_OGets=1. c_List_Oremdups=1. c_List_Olists=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_Orderings_Obot__class_Obot=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_Public_OpublicKey=1. c_Message_Omsg_OHash=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. c_Set_Oimage=1. c_ATP__Linkup_Osko__Set__XrangeE__1__1=1.
% 0.98/1.37
% 0.98/1.37 ============================== end of process initial clauses ========
% 7.57/7.83
% 7.57/7.83 ============================== CLAUSES FOR SEARCH ====================
% 7.57/7.83
% 7.57/7.83 ============================== end of clauses for search =============
% 7.57/7.83
% 7.57/7.83 ============================== SEARCH ================================
% 7.57/7.83
% 7.57/7.83 % Starting search at 0.14 seconds.
% 7.57/7.83
% 7.57/7.83 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 27 (0.00 of 0.36 sec).
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=51.000, iters=3399
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=38.000, iters=3333
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=35.000, iters=3345
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=34.000, iters=3339
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=33.000, iters=3386
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=32.000, iters=3354
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=31.000, iters=3364
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=30.000, iters=3427
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=29.000, iters=3349
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=28.000, iters=3358
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=27.000, iters=3416
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=26.000, iters=3396
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=25.000, iters=3343
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=24.000, iters=3355
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=23.000, iters=3355
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=22.000, iters=3337
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=21.000, iters=3349
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=20.000, iters=3379
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=19.000, iters=3345
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=18.000, iters=3364
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=17.000, iters=3420
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=16.000, iters=3341
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=15.000, iters=3337
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=14.000, iters=3337
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=13.000, iters=3362
% 7.57/7.83
% 7.57/7.83 Low Water (keep): wt=12.000, iters=3334
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=2574, wt=119.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=2943, wt=111.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=2938, wt=107.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=2949, wt=105.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=2395, wt=102.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=2941, wt=101.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=16547, wt=51.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=16629, wt=48.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=16789, wt=47.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=11988, wt=45.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=9721, wt=42.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=2412, wt=41.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=2410, wt=38.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=14361, wt=36.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=14362, wt=35.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=3297, wt=31.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=13555, wt=30.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=10899, wt=29.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=17101, wt=28.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=17256, wt=27.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=17466, wt=26.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=17568, wt=25.000
% 7.57/7.83
% 7.57/7.83 Low Water (displace): id=18211, wt=24.000
% 7.57/7.83
% 7.57/7.83 ============================== PROOF =================================
% 7.57/7.83 % SZS status Unsatisfiable
% 7.57/7.83 % SZS output start Refutation
% 7.57/7.83
% 7.57/7.83 % Proof 1 at 6.44 (+ 0.15) seconds.
% 7.57/7.83 % Length of proof is 30.
% 7.57/7.83 % Level of proof is 7.
% 7.57/7.83 % Maximum clause weight is 20.000.
% 7.57/7.83 % Given clauses 6893.
% 7.57/7.83
% 7.57/7.83 54 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].
% 7.57/7.83 70 -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)) # label(cls_bot1E_0) # label(axiom). [assumption].
% 7.57/7.83 113 c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C) = c_List_Olist_OCons(A,c_List_Oappend(B,D,C),C) # label(cls_append__eq__Cons__conv_5) # label(axiom). [assumption].
% 7.57/7.83 123 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].
% 7.57/7.83 147 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].
% 7.57/7.83 152 A = c_List_Oappend(c_List_Olist_ONil(B),A,B) # label(cls_eq__Nil__appendI_0) # label(axiom). [assumption].
% 7.57/7.83 153 c_List_Oappend(c_List_Olist_ONil(A),B,A) = B. [copy(152),flip(a)].
% 7.57/7.83 166 hBOOL(hAPP(A,B)) | C = B | -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)) # label(cls_insert__code_0) # label(axiom). [assumption].
% 7.57/7.83 205 c_List_Olist_ONil(A) != c_List_Olist_OCons(B,C,A) # label(cls_list_Osimps_I2_J_0) # label(axiom). [assumption].
% 7.57/7.83 206 c_List_Olist_OCons(A,B,C) != c_List_Olist_ONil(C). [copy(205),flip(a)].
% 7.57/7.83 216 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 7.57/7.83 226 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | -hBOOL(hAPP(B,D)) # label(cls_insert__code_2) # label(axiom). [assumption].
% 7.57/7.83 304 c_List_Oappend(A,B,C) != B | A = c_List_Olist_ONil(C) # label(cls_append__self__conv2_0) # label(axiom). [assumption].
% 7.57/7.83 305 c_List_Oappend(A,B,C) != B | c_List_Olist_ONil(C) = A. [copy(304),flip(b)].
% 7.57/7.83 534 A != c_List_Olist_OCons(B,A,C) # label(cls_not__Cons__self_0) # label(axiom). [assumption].
% 7.57/7.83 535 c_List_Olist_OCons(A,B,C) != B. [copy(534),flip(a)].
% 7.57/7.83 806 -hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(A),A),B)). [para(54(a,2),70(a,1,1))].
% 7.57/7.83 888 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(123(a,1),166(c,1,1))].
% 7.57/7.83 1056 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(216,a,147,c)].
% 7.57/7.83 1083 hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),E),B)). [resolve(226,b,216,a)].
% 7.57/7.83 1284 c_List_Olist_OCons(A,c_List_Oappend(B,C,D),D) != C. [para(113(a,1),305(a,1)),flip(b),unit_del(b,206)].
% 7.57/7.83 3110 c_List_Olist_OCons(A,c_List_Olist_OCons(B,c_List_Oappend(C,D,E),E),E) != D. [para(113(a,1),1284(a,1,2))].
% 7.57/7.83 3259 c_List_Olist_OCons(A,c_List_Olist_OCons(B,C,D),D) != C. [para(153(a,1),3110(a,1,2,2))].
% 7.57/7.83 11821 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C),D)). [resolve(1083,a,1056,b)].
% 7.57/7.83 16292 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),C)) | c_Public_Okeymode_OEncryption = C. [resolve(11821,a,888,c)].
% 7.57/7.83 17897 c_Public_Okeymode_OEncryption = A | hBOOL(hAPP(B,A)) | c_Public_Okeymode_OSignature = A. [resolve(16292,a,166,c)].
% 7.57/7.83 18346 c_Public_Okeymode_OEncryption = A | c_Public_Okeymode_OSignature = A. [resolve(17897,b,806,a)].
% 7.57/7.83 18356 c_List_Olist_OCons(A,c_List_Olist_OCons(B,c_Public_Okeymode_OSignature,C),C) = c_Public_Okeymode_OEncryption. [resolve(18346,b,3259,a(flip)),flip(a)].
% 7.57/7.83 18361 c_List_Olist_OCons(A,c_Public_Okeymode_OSignature,B) = c_Public_Okeymode_OEncryption. [resolve(18346,b,535,a(flip)),flip(a)].
% 7.57/7.83 22550 $F. [back_rewrite(18356),rewrite([18361(2)]),unit_del(a,535)].
% 7.57/7.83
% 7.57/7.83 % SZS output end Refutation
% 7.57/7.83 ============================== end of proof ==========================
% 7.57/7.83
% 7.57/7.83 ============================== STATISTICS ============================
% 7.57/7.83
% 7.57/7.83 Given=6893. Generated=270762. Kept=22364. proofs=1.
% 7.57/7.83 Usable=6824. Sos=9999. Demods=849. Limbo=4189, Disabled=2090. Hints=0.
% 7.57/7.83 Megabytes=33.20.
% 7.57/7.83 User_CPU=6.44, System_CPU=0.15, Wall_clock=7.
% 7.57/7.83
% 7.57/7.83 ============================== end of statistics =====================
% 7.57/7.83
% 7.57/7.83 ============================== end of search =========================
% 7.57/7.83
% 7.57/7.83 THEOREM PROVED
% 7.57/7.83 % SZS status Unsatisfiable
% 7.57/7.83
% 7.57/7.83 Exiting with 1 proof.
% 7.57/7.83
% 7.57/7.83 Process 19052 exit (max_proofs) Wed Jun 15 14:18:03 2022
% 7.57/7.83 Prover9 interrupted
%------------------------------------------------------------------------------