TSTP Solution File: SWV751-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV751-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 12.81s 13.10s
% Output : Refutation 12.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV751-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 15:28:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.95/1.30 ============================== Prover9 ===============================
% 0.95/1.30 Prover9 (32) version 2009-11A, November 2009.
% 0.95/1.30 Process 18445 was started by sandbox on n003.cluster.edu,
% 0.95/1.30 Tue Jun 14 15:28:56 2022
% 0.95/1.30 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18284_n003.cluster.edu".
% 0.95/1.30 ============================== end of head ===========================
% 0.95/1.30
% 0.95/1.30 ============================== INPUT =================================
% 0.95/1.30
% 0.95/1.30 % Reading from file /tmp/Prover9_18284_n003.cluster.edu
% 0.95/1.30
% 0.95/1.30 set(prolog_style_variables).
% 0.95/1.30 set(auto2).
% 0.95/1.30 % set(auto2) -> set(auto).
% 0.95/1.30 % set(auto) -> set(auto_inference).
% 0.95/1.30 % set(auto) -> set(auto_setup).
% 0.95/1.30 % set(auto_setup) -> set(predicate_elim).
% 0.95/1.30 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.95/1.30 % set(auto) -> set(auto_limits).
% 0.95/1.30 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.95/1.30 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.95/1.30 % set(auto) -> set(auto_denials).
% 0.95/1.30 % set(auto) -> set(auto_process).
% 0.95/1.30 % set(auto2) -> assign(new_constants, 1).
% 0.95/1.30 % set(auto2) -> assign(fold_denial_max, 3).
% 0.95/1.30 % set(auto2) -> assign(max_weight, "200.000").
% 0.95/1.30 % set(auto2) -> assign(max_hours, 1).
% 0.95/1.30 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.95/1.30 % set(auto2) -> assign(max_seconds, 0).
% 0.95/1.30 % set(auto2) -> assign(max_minutes, 5).
% 0.95/1.30 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.95/1.30 % set(auto2) -> set(sort_initial_sos).
% 0.95/1.30 % set(auto2) -> assign(sos_limit, -1).
% 0.95/1.30 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.95/1.30 % set(auto2) -> assign(max_megs, 400).
% 0.95/1.30 % set(auto2) -> assign(stats, some).
% 0.95/1.30 % set(auto2) -> clear(echo_input).
% 0.95/1.30 % set(auto2) -> set(quiet).
% 0.95/1.30 % set(auto2) -> clear(print_initial_clauses).
% 0.95/1.30 % set(auto2) -> clear(print_given).
% 0.95/1.30 assign(lrs_ticks,-1).
% 0.95/1.30 assign(sos_limit,10000).
% 0.95/1.30 assign(order,kbo).
% 0.95/1.30 set(lex_order_vars).
% 0.95/1.30 clear(print_given).
% 0.95/1.30
% 0.95/1.30 % formulas(sos). % not echoed (606 formulas)
% 0.95/1.30
% 0.95/1.30 ============================== end of input ==========================
% 0.95/1.30
% 0.95/1.30 % From the command line: assign(max_seconds, 300).
% 0.95/1.30
% 0.95/1.30 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.95/1.30
% 0.95/1.30 % Formulas that are not ordinary clauses:
% 0.95/1.30
% 0.95/1.30 ============================== end of process non-clausal formulas ===
% 0.95/1.30
% 0.95/1.30 ============================== PROCESS INITIAL CLAUSES ===============
% 0.95/1.30
% 0.95/1.30 ============================== PREDICATE ELIMINATION =================
% 0.95/1.30 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.30 2 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.95/1.30 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].
% 0.95/1.30 4 -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].
% 0.95/1.30 5 -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].
% 0.95/1.30 6 -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].
% 0.95/1.30 7 -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].
% 0.95/1.30 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_sup__least_0) # label(axiom). [assumption].
% 0.95/1.30 9 -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].
% 0.95/1.30 10 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = c_Lattices_Oupper__semilattice__class_Osup(C,B,A) # label(cls_sup__commute_0) # label(axiom). [assumption].
% 0.95/1.30 11 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) = c_Lattices_Oupper__semilattice__class_Osup(B,C,A) # label(cls_sup__left__idem_0) # label(axiom). [assumption].
% 0.95/1.30 12 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom). [assumption].
% 0.95/1.30 13 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) != C | c_lessequals(B,C,A) # label(cls_le__iff__sup_1) # label(axiom). [assumption].
% 0.95/1.30 14 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom). [assumption].
% 0.95/1.30 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].
% 0.95/1.30 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].
% 0.95/1.30 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].
% 0.95/1.30 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].
% 0.95/1.30 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].
% 0.95/1.30 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].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,2,a)].
% 0.95/1.30 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)].
% 0.95/1.30 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,4,a)].
% 0.95/1.30 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,5,a)].
% 0.95/1.30 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,6,a)].
% 0.95/1.30 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,7,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)). [resolve(1,a,10,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)). [resolve(1,a,11,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = B | -c_lessequals(C,B,tc_fun(D,A)). [resolve(1,a,12,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) != C | c_lessequals(B,C,tc_fun(D,A)). [resolve(1,a,13,a)].
% 0.95/1.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = C | -c_lessequals(B,C,tc_fun(D,A)). [resolve(1,a,14,a)].
% 0.95/1.30 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)].
% 0.95/1.30 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)].
% 0.95/1.30 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)].
% 0.95/1.30 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)].
% 0.95/1.30 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.30 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,2,a)].
% 0.95/1.30 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)].
% 0.95/1.30 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,4,a)].
% 0.95/1.30 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,5,a)].
% 0.95/1.30 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,6,a)].
% 0.95/1.31 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,7,a)].
% 0.95/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,10,a)].
% 0.95/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat). [resolve(21,a,11,a)].
% 0.95/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,12,a)].
% 0.95/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,13,a)].
% 0.95/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,14,a)].
% 0.95/1.31 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)].
% 0.95/1.31 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)].
% 0.95/1.31 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)].
% 0.95/1.31 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)].
% 0.95/1.31 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.95/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,2,a)].
% 0.95/1.31 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)].
% 0.95/1.31 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,4,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,5,a)].
% 0.95/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,6,a)].
% 0.95/1.40 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,7,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,10,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,11,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,12,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,13,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,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_Event_Oevent=1. tc_nat=1. c_Message_Omsg_OKey=1. c_Message_Oagent_OSpy=1. c_Public_OshrK=1. tc_Message_Oagent=1. t_a=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. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=1. t_b=1. v_A=1. v_evs=1. v_K=1. v_B=1. v_K_H=1. v_NA=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_List_Olists=1. c_Event_Oevent_OGets=1. v_sko__List__Xlists__Xinduct__2=1. v_sko__List__Xlists__Xinducts__2=1. c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1=1. v_sko__List__Xlists__Xcases__1=1. v_sko__List__Xlists__Xcases__2=1. v_sko__List__Xlists__Xinduct__1=1. v_sko__List__Xlists__Xinducts__1=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. tc_List_Olist=1. c_Message_Omsg_ONonce=1. c_Orderings_Otop__class_Otop=1. c_Public_OpublicKey=1. c_Event_Oused=1. c_List_Olist_ONil=1. c_Message_OkeysFor=1. c_Message_Omsg_OHash=1. c_NS__Shared__Mirabelle_Ons__sharedp=1. c_Event_OinitState=1. c_Message_Oagent_OFriend=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_List_Osko__List__Xin__lists__conv__set__1__1=1. c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1=1. v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1=1. c_Set_Oimage=1.
% 12.81/13.10
% 12.81/13.10 ============================== end of process initial clauses ========
% 12.81/13.10
% 12.81/13.10 ============================== CLAUSES FOR SEARCH ====================
% 12.81/13.10
% 12.81/13.10 ============================== end of clauses for search =============
% 12.81/13.10
% 12.81/13.10 ============================== SEARCH ================================
% 12.81/13.10
% 12.81/13.10 % Starting search at 0.20 seconds.
% 12.81/13.10
% 12.81/13.10 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 24 (0.00 of 0.45 sec).
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=36.000, iters=3369
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=35.000, iters=3342
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=33.000, iters=3361
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=32.000, iters=3355
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=31.000, iters=3354
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=30.000, iters=3399
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=29.000, iters=3357
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=28.000, iters=3345
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=27.000, iters=3369
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=25.000, iters=3352
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=24.000, iters=3377
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=23.000, iters=3367
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=22.000, iters=3344
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=21.000, iters=3341
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=20.000, iters=3348
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=19.000, iters=3343
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=18.000, iters=3408
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=17.000, iters=3531
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=16.000, iters=3343
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=15.000, iters=3335
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=14.000, iters=3334
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=13.000, iters=3627
% 12.81/13.10
% 12.81/13.10 Low Water (keep): wt=12.000, iters=3337
% 12.81/13.10
% 12.81/13.10 Low Water (displace): id=19320, wt=25.000
% 12.81/13.10
% 12.81/13.10 Low Water (displace): id=19926, wt=24.000
% 12.81/13.10
% 12.81/13.10 Low Water (displace): id=20174, wt=23.000
% 12.81/13.10
% 12.81/13.10 Low Water (displace): id=21313, wt=22.000
% 12.81/13.10
% 12.81/13.10 Low Water (displace): id=22588, wt=11.000
% 12.81/13.10
% 12.81/13.10 ============================== PROOF =================================
% 12.81/13.10 % SZS status Unsatisfiable
% 12.81/13.10 % SZS output start Refutation
% 12.81/13.10
% 12.81/13.10 % Proof 1 at 11.61 (+ 0.28) seconds.
% 12.81/13.10 % Length of proof is 40.
% 12.81/13.10 % Level of proof is 8.
% 12.81/13.10 % Maximum clause weight is 32.000.
% 12.81/13.10 % Given clauses 9662.
% 12.81/13.10
% 12.81/13.10 42 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = c_List_Oset(c_List_Olist_ONil(A),A) # label(cls_set__empty2_1) # label(axiom). [assumption].
% 12.81/13.10 43 c_List_Oset(c_List_Olist_ONil(A),A) = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)). [copy(42),flip(a)].
% 12.81/13.10 71 -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)) # label(cls_bot1E_0) # label(axiom). [assumption].
% 12.81/13.10 88 c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C) = c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)) # label(cls_image__empty_0) # label(axiom). [assumption].
% 12.81/13.10 117 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].
% 12.81/13.10 403 hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)) # label(cls_insertCI_1) # label(axiom). [assumption].
% 12.81/13.10 408 -hBOOL(c_in(hAPP(c_Public_OshrK,A),c_Set_Oimage(c_Public_OpublicKey(B),C,tc_Message_Oagent,tc_nat),tc_nat)) # label(cls_shrK__notin__image__publicKey_0) # label(axiom). [assumption].
% 12.81/13.10 410 c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E) = c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E) # label(cls_analz__image__freshK__simps_I56_J_0) # label(axiom). [assumption].
% 12.81/13.10 411 c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E) = c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E). [copy(410),flip(a)].
% 12.81/13.10 414 A != c_List_Olist_OCons(B,A,C) # label(cls_not__Cons__self_0) # label(axiom). [assumption].
% 12.81/13.10 415 c_List_Olist_OCons(A,B,C) != B. [copy(414),flip(a)].
% 12.81/13.10 417 c_List_Olist_OCons(A,B,C) != c_List_Olist_ONil(C) # label(cls_list_Osimps_I3_J_0) # label(axiom). [assumption].
% 12.81/13.10 419 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | -hBOOL(hAPP(B,D)) # label(cls_insert__code_2) # label(axiom). [assumption].
% 12.81/13.10 429 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].
% 12.81/13.10 446 hBOOL(hAPP(A,B)) | C = B | -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)) # label(cls_insert__code_0) # label(axiom). [assumption].
% 12.81/13.10 461 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 12.81/13.10 476 c_List_Oset(c_List_Olist_OCons(A,B,C),C) = c_Set_Oinsert(A,c_List_Oset(B,C),C) # label(cls_List_Oset_Osimps_I2_J_0) # label(axiom). [assumption].
% 12.81/13.10 477 c_Set_Oinsert(A,c_List_Oset(B,C),C) = c_List_Oset(c_List_Olist_OCons(A,B,C),C). [copy(476),flip(a)].
% 12.81/13.10 539 A = hAPP(c_Public_OshrK,B) | -hBOOL(c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) | -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,B,c_Message_Omsg_OCrypt(A,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),V6))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)) # label(cls_Says__Server__message__form_2) # label(axiom). [assumption].
% 12.81/13.10 540 hAPP(c_Public_OshrK,A) = B | -hBOOL(c_in(C,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) | -hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,A,c_Message_Omsg_OCrypt(B,c_Message_Omsg_OMPair(D,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(E),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,F),V6))))),c_List_Oset(C,tc_Event_Oevent),tc_Event_Oevent)). [copy(539),flip(a)].
% 12.81/13.10 588 hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(v_K_H,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),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 12.81/13.10 592 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 12.81/13.10 718 -hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(A),A),B)). [para(43(a,2),71(a,1,1))].
% 12.81/13.10 1855 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(429(a,1),446(c,1,1))].
% 12.81/13.10 1935 hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),E),B)). [resolve(461,a,419,b)].
% 12.81/13.10 1944 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(461,a,117,c)].
% 12.81/13.10 2036 hBOOL(c_in(A,c_List_Oset(c_List_Olist_OCons(A,B,C),C),C)). [para(477(a,1),403(a,1,2))].
% 12.81/13.10 2273 hAPP(c_Public_OshrK,v_A) = v_K_H. [resolve(588,a,540,c),unit_del(b,592)].
% 12.81/13.10 2671 -hBOOL(c_in(v_K_H,c_Set_Oimage(c_Public_OpublicKey(A),B,tc_Message_Oagent,tc_nat),tc_nat)). [para(2273(a,1),408(a,1,1))].
% 12.81/13.10 2708 -hBOOL(c_in(v_K_H,c_Set_Oinsert(hAPP(c_Public_OpublicKey(A),B),c_Set_Oimage(c_Public_OpublicKey(A),C,tc_Message_Oagent,tc_nat),tc_nat),tc_nat)). [para(411(a,1),2671(a,1,2))].
% 12.81/13.10 4484 -hBOOL(c_in(v_K_H,c_List_Oset(c_List_Olist_OCons(hAPP(c_Public_OpublicKey(A),B),c_List_Olist_ONil(tc_nat),tc_nat),tc_nat),tc_nat)). [para(88(a,1),2708(a,1,2,2)),rewrite([43(7,R),477(9)])].
% 12.81/13.10 21261 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C),D)). [resolve(1944,b,1935,a)].
% 12.81/13.10 21275 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),C)) | c_Public_Okeymode_OEncryption = C. [resolve(21261,a,1855,c)].
% 12.81/13.10 21294 c_Public_Okeymode_OEncryption = A | hBOOL(hAPP(B,A)) | c_Public_Okeymode_OSignature = A. [resolve(21275,a,446,c)].
% 12.81/13.10 21315 c_Public_Okeymode_OEncryption = A | c_Public_Okeymode_OSignature = A. [resolve(21294,b,718,a)].
% 12.81/13.10 21334 c_List_Olist_OCons(A,c_Public_Okeymode_OSignature,B) = c_Public_Okeymode_OEncryption. [resolve(21315,b,415,a(flip)),flip(a)].
% 12.81/13.10 22167 c_List_Olist_ONil(tc_nat) = c_Public_Okeymode_OEncryption | -hBOOL(c_in(v_K_H,c_List_Oset(c_Public_Okeymode_OEncryption,tc_nat),tc_nat)). [para(21315(b,2),4484(a,1,2,1,2)),rewrite([21334(10)]),flip(a)].
% 12.81/13.10 24342 c_List_Olist_ONil(A) != c_Public_Okeymode_OEncryption. [para(21334(a,1),417(a,1)),flip(a)].
% 12.81/13.10 24365 hBOOL(c_in(A,c_List_Oset(c_Public_Okeymode_OEncryption,B),B)). [para(21334(a,1),2036(a,1,2,1))].
% 12.81/13.10 24448 $F. [back_unit_del(22167),unit_del(a,24342),unit_del(b,24365)].
% 12.81/13.10
% 12.81/13.10 % SZS output end Refutation
% 12.81/13.10 ============================== end of proof ==========================
% 12.81/13.10
% 12.81/13.10 ============================== STATISTICS ============================
% 12.81/13.10
% 12.81/13.10 Given=9662. Generated=525751. Kept=24307. proofs=1.
% 12.81/13.10 Usable=9453. Sos=9970. Demods=858. Limbo=106, Disabled=5431. Hints=0.
% 12.81/13.10 Megabytes=31.77.
% 12.81/13.10 User_CPU=11.62, System_CPU=0.28, Wall_clock=12.
% 12.81/13.10
% 12.81/13.10 ============================== end of statistics =====================
% 12.81/13.10
% 12.81/13.10 ============================== end of search =========================
% 12.81/13.10
% 12.81/13.10 THEOREM PROVED
% 12.81/13.10 % SZS status Unsatisfiable
% 12.81/13.10
% 12.81/13.10 Exiting with 1 proof.
% 12.81/13.10
% 12.81/13.10 Process 18445 exit (max_proofs) Tue Jun 14 15:29:08 2022
% 12.81/13.10 Prover9 interrupted
%------------------------------------------------------------------------------