TSTP Solution File: SWV746-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV746-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:14:39 EDT 2022
% Result : Unsatisfiable 14.60s 14.86s
% Output : Refutation 14.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV746-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n017.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 : Wed Jun 15 07:13:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.96/1.31 ============================== Prover9 ===============================
% 0.96/1.31 Prover9 (32) version 2009-11A, November 2009.
% 0.96/1.31 Process 17131 was started by sandbox on n017.cluster.edu,
% 0.96/1.31 Wed Jun 15 07:13:10 2022
% 0.96/1.31 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_16977_n017.cluster.edu".
% 0.96/1.31 ============================== end of head ===========================
% 0.96/1.31
% 0.96/1.31 ============================== INPUT =================================
% 0.96/1.31
% 0.96/1.31 % Reading from file /tmp/Prover9_16977_n017.cluster.edu
% 0.96/1.31
% 0.96/1.31 set(prolog_style_variables).
% 0.96/1.31 set(auto2).
% 0.96/1.31 % set(auto2) -> set(auto).
% 0.96/1.31 % set(auto) -> set(auto_inference).
% 0.96/1.31 % set(auto) -> set(auto_setup).
% 0.96/1.31 % set(auto_setup) -> set(predicate_elim).
% 0.96/1.31 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.96/1.31 % set(auto) -> set(auto_limits).
% 0.96/1.31 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.96/1.31 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.96/1.31 % set(auto) -> set(auto_denials).
% 0.96/1.31 % set(auto) -> set(auto_process).
% 0.96/1.31 % set(auto2) -> assign(new_constants, 1).
% 0.96/1.31 % set(auto2) -> assign(fold_denial_max, 3).
% 0.96/1.31 % set(auto2) -> assign(max_weight, "200.000").
% 0.96/1.31 % set(auto2) -> assign(max_hours, 1).
% 0.96/1.31 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.96/1.31 % set(auto2) -> assign(max_seconds, 0).
% 0.96/1.31 % set(auto2) -> assign(max_minutes, 5).
% 0.96/1.31 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.96/1.31 % set(auto2) -> set(sort_initial_sos).
% 0.96/1.31 % set(auto2) -> assign(sos_limit, -1).
% 0.96/1.31 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.96/1.31 % set(auto2) -> assign(max_megs, 400).
% 0.96/1.31 % set(auto2) -> assign(stats, some).
% 0.96/1.31 % set(auto2) -> clear(echo_input).
% 0.96/1.31 % set(auto2) -> set(quiet).
% 0.96/1.31 % set(auto2) -> clear(print_initial_clauses).
% 0.96/1.31 % set(auto2) -> clear(print_given).
% 0.96/1.31 assign(lrs_ticks,-1).
% 0.96/1.31 assign(sos_limit,10000).
% 0.96/1.31 assign(order,kbo).
% 0.96/1.31 set(lex_order_vars).
% 0.96/1.31 clear(print_given).
% 0.96/1.31
% 0.96/1.31 % formulas(sos). % not echoed (557 formulas)
% 0.96/1.31
% 0.96/1.31 ============================== end of input ==========================
% 0.96/1.31
% 0.96/1.31 % From the command line: assign(max_seconds, 300).
% 0.96/1.31
% 0.96/1.31 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.96/1.31
% 0.96/1.31 % Formulas that are not ordinary clauses:
% 0.96/1.31
% 0.96/1.31 ============================== end of process non-clausal formulas ===
% 0.96/1.31
% 0.96/1.31 ============================== PROCESS INITIAL CLAUSES ===============
% 0.96/1.31
% 0.96/1.31 ============================== PREDICATE ELIMINATION =================
% 0.96/1.31 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.31 2 -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].
% 0.96/1.31 3 -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].
% 0.96/1.31 4 -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].
% 0.96/1.31 5 -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].
% 0.96/1.31 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__supE_1) # label(axiom). [assumption].
% 0.96/1.31 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__supE_0) # label(axiom). [assumption].
% 0.96/1.31 8 -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].
% 0.96/1.31 9 -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].
% 0.96/1.31 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].
% 0.96/1.31 11 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.96/1.31 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].
% 0.96/1.31 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].
% 0.96/1.31 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].
% 0.96/1.31 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].
% 0.96/1.31 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].
% 0.96/1.31 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].
% 0.96/1.31 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].
% 0.96/1.31 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].
% 0.96/1.31 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].
% 0.96/1.31 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,2,a)].
% 0.96/1.31 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,3,a)].
% 0.96/1.31 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,4,a)].
% 0.96/1.31 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,5,a)].
% 0.96/1.31 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,8,a)].
% 0.96/1.31 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,9,a)].
% 0.96/1.31 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)].
% 0.96/1.31 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,11,a)].
% 0.96/1.31 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)].
% 0.96/1.31 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)].
% 0.96/1.31 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)].
% 0.96/1.31 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)].
% 0.96/1.31 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)].
% 0.96/1.31 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)].
% 0.96/1.31 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)].
% 0.96/1.31 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.31 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,2,a)].
% 0.96/1.31 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,3,a)].
% 0.96/1.31 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,4,a)].
% 0.96/1.31 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,5,a)].
% 0.96/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,8,a)].
% 0.96/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,9,a)].
% 0.96/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,10,a)].
% 0.96/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,11,a)].
% 0.96/1.31 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)].
% 0.96/1.31 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)].
% 0.96/1.31 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)].
% 0.96/1.31 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,15,a)].
% 0.96/1.31 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,16,a)].
% 0.96/1.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,19,a)].
% 0.96/1.31 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,20,a)].
% 0.96/1.31 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.31 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,2,a)].
% 0.96/1.31 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,3,a)].
% 0.96/1.31 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,4,a)].
% 0.96/1.31 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,5,a)].
% 1.57/1.82 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,8,a)].
% 1.57/1.82 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,9,a)].
% 1.57/1.82 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,10,a)].
% 1.57/1.82 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,11,a)].
% 1.57/1.82 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)].
% 1.57/1.82 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)].
% 1.57/1.82 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)].
% 1.57/1.82 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,15,a)].
% 1.57/1.82 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,16,a)].
% 1.57/1.82 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)].
% 1.57/1.82 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)].
% 1.57/1.82 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.57/1.82 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.57/1.82 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 1.57/1.82 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 1.57/1.82 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 1.57/1.82 Derived: A = A. [resolve(25,b,26,a)].
% 1.57/1.82
% 1.57/1.82 ============================== end predicate elimination =============
% 1.57/1.82
% 1.57/1.82 Auto_denials: (non-Horn, no changes).
% 1.57/1.82
% 1.57/1.82 Term ordering decisions:
% 1.57/1.82 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_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. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=1. v_K=1. v_evsf=1. v_B=1. t_b=1. v_NA=1. v_X=1. v_Ba=1. tc_fun=1. hAPP=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_Event_Oknows=1. c_List_Oset=1. c_HOL_Ouminus__class_Ouminus=1. c_Event_Oevent_ONotes=1. c_Event_Oevent_OGets=1. c_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_Orderings_Otop__class_Otop=1. tc_List_Olist=1. c_Public_OpublicKey=1. c_Event_Oused=1. c_Message_OkeysFor=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_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1=1. c_Set_Oimage=1.
% 1.57/1.82
% 1.57/1.82 ============================== end of process initial clauses ========
% 1.57/1.82
% 1.57/1.82 ============================== CLAUSES FOR SEARCH ====================
% 1.57/1.82
% 1.57/1.82 ============================== end of clauses for search =============
% 1.57/1.82
% 1.57/1.82 ============================== SEARCH ================================
% 1.57/1.82
% 1.57/1.82 % Starting search at 0.18 seconds.
% 1.57/1.82
% 1.57/1.82 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 34 (0.00 of 0.43 sec).
% 1.57/1.82
% 1.57/1.82 Low Water (keep): wt=59.000, iters=3499
% 1.57/1.82
% 1.57/1.82 Low Water (keep): wt=54.000, iters=3474
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=43.000, iters=3349
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=40.000, iters=3375
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=37.000, iters=3344
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=32.000, iters=3393
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=31.000, iters=3420
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=30.000, iters=3355
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=27.000, iters=3408
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=25.000, iters=3399
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=24.000, iters=3342
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=23.000, iters=3358
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=22.000, iters=3339
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=21.000, iters=3400
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=20.000, iters=3594
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=19.000, iters=3335
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=18.000, iters=3354
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=17.000, iters=3335
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=16.000, iters=3416
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=15.000, iters=3335
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=14.000, iters=3334
% 14.60/14.86
% 14.60/14.86 Low Water (keep): wt=13.000, iters=3354
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=4487, wt=78.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=3004, wt=76.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=8618, wt=35.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=4504, wt=34.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=14550, wt=33.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=15220, wt=32.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=14532, wt=31.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=15564, wt=30.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=15574, wt=29.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=16023, wt=28.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=16338, wt=27.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=17110, wt=26.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=16413, wt=25.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=17553, wt=24.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=17747, wt=23.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=19019, wt=22.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=21068, wt=21.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=23232, wt=13.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=24240, wt=12.000
% 14.60/14.86
% 14.60/14.86 Low Water (displace): id=29312, wt=11.000
% 14.60/14.86
% 14.60/14.86 ============================== PROOF =================================
% 14.60/14.86 % SZS status Unsatisfiable
% 14.60/14.86 % SZS output start Refutation
% 14.60/14.86
% 14.60/14.86 % Proof 1 at 13.31 (+ 0.35) seconds.
% 14.60/14.86 % Length of proof is 25.
% 14.60/14.86 % Level of proof is 9.
% 14.60/14.86 % Maximum clause weight is 20.000.
% 14.60/14.86 % Given clauses 9793.
% 14.60/14.86
% 14.60/14.86 28 c_Message_Oagent_OFriend(A) != c_Message_Oagent_OSpy # label(cls_agent_Osimps_I6_J_0) # label(axiom). [assumption].
% 14.60/14.86 30 c_Message_Oagent_OServer != c_Message_Oagent_OFriend(A) # label(cls_agent_Osimps_I2_J_0) # label(axiom). [assumption].
% 14.60/14.86 31 c_Message_Oagent_OFriend(A) != c_Message_Oagent_OServer. [copy(30),flip(a)].
% 14.60/14.86 50 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].
% 14.60/14.86 112 -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)) # label(cls_bot1E_0) # label(axiom). [assumption].
% 14.60/14.86 392 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | -hBOOL(hAPP(B,D)) # label(cls_insert__code_2) # label(axiom). [assumption].
% 14.60/14.86 397 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].
% 14.60/14.86 407 hBOOL(hAPP(A,B)) | C = B | -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)) # label(cls_insert__code_0) # label(axiom). [assumption].
% 14.60/14.86 416 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 14.60/14.86 478 c_Message_Oagent_OServer != c_Message_Oagent_OSpy # label(cls_agent_Osimps_I4_J_0) # label(axiom). [assumption].
% 14.60/14.86 1843 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(397(a,1),407(c,1,1))].
% 14.60/14.86 1916 hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),E),B)). [resolve(416,a,392,b)].
% 14.60/14.86 1919 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(416,a,50,c)].
% 14.60/14.86 22155 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C),D)). [resolve(1919,b,1916,a)].
% 14.60/14.86 22164 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),C)) | c_Public_Okeymode_OEncryption = C. [resolve(22155,a,1843,c)].
% 14.60/14.86 22183 c_Public_Okeymode_OEncryption = A | hBOOL(hAPP(B,A)) | c_Public_Okeymode_OSignature = A. [resolve(22164,a,407,c)].
% 14.60/14.86 22256 c_Public_Okeymode_OEncryption = A | c_Public_Okeymode_OSignature = A. [resolve(22183,b,112,a)].
% 14.60/14.86 22278 c_Message_Oagent_OFriend(A) = c_Public_Okeymode_OEncryption | c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy. [para(22256(b,2),28(a,1)),flip(a)].
% 14.60/14.86 22280 c_Message_Oagent_OFriend(A) = c_Public_Okeymode_OEncryption | c_Public_Okeymode_OSignature != c_Message_Oagent_OServer. [para(22256(b,2),31(a,1)),flip(a)].
% 14.60/14.86 22504 c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer | c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy. [para(22256(b,2),478(a,1))].
% 14.60/14.86 29208 c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer | c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy. [resolve(22504,b,22256,b)].
% 14.60/14.86 29417 c_Message_Oagent_OFriend(A) = c_Public_Okeymode_OEncryption | c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy. [resolve(22278,b,22256,b)].
% 14.60/14.86 29420 c_Message_Oagent_OFriend(A) = c_Public_Okeymode_OEncryption | c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer. [resolve(22280,b,22256,b)].
% 14.60/14.86 30310 c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy. [para(29208(a,1),29417(a,2)),merge(c),unit_del(b,31)].
% 14.60/14.87 30468 $F. [back_rewrite(29420),rewrite([30310(2),30310(4)]),flip(b),unit_del(a,28),unit_del(b,478)].
% 14.60/14.87
% 14.60/14.87 % SZS output end Refutation
% 14.60/14.87 ============================== end of proof ==========================
% 14.60/14.87
% 14.60/14.87 ============================== STATISTICS ============================
% 14.60/14.87
% 14.60/14.87 Given=9793. Generated=646174. Kept=30350. proofs=1.
% 14.60/14.87 Usable=9593. Sos=9779. Demods=765. Limbo=158, Disabled=11424. Hints=0.
% 14.60/14.87 Megabytes=36.45.
% 14.60/14.87 User_CPU=13.31, System_CPU=0.35, Wall_clock=14.
% 14.60/14.87
% 14.60/14.87 ============================== end of statistics =====================
% 14.60/14.87
% 14.60/14.87 ============================== end of search =========================
% 14.60/14.87
% 14.60/14.87 THEOREM PROVED
% 14.60/14.87 % SZS status Unsatisfiable
% 14.60/14.87
% 14.60/14.87 Exiting with 1 proof.
% 14.60/14.87
% 14.60/14.87 Process 17131 exit (max_proofs) Wed Jun 15 07:13:24 2022
% 14.60/14.87 Prover9 interrupted
%------------------------------------------------------------------------------