TSTP Solution File: SWV729-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV729-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 21:14:35 EDT 2022
% Result : Unsatisfiable 37.27s 37.55s
% Output : Refutation 37.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV729-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 04:02:12 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.96/1.28 ============================== Prover9 ===============================
% 0.96/1.28 Prover9 (32) version 2009-11A, November 2009.
% 0.96/1.28 Process 25744 was started by sandbox2 on n029.cluster.edu,
% 0.96/1.28 Thu Jun 16 04:02:13 2022
% 0.96/1.28 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_25590_n029.cluster.edu".
% 0.96/1.28 ============================== end of head ===========================
% 0.96/1.28
% 0.96/1.28 ============================== INPUT =================================
% 0.96/1.28
% 0.96/1.28 % Reading from file /tmp/Prover9_25590_n029.cluster.edu
% 0.96/1.28
% 0.96/1.28 set(prolog_style_variables).
% 0.96/1.28 set(auto2).
% 0.96/1.28 % set(auto2) -> set(auto).
% 0.96/1.28 % set(auto) -> set(auto_inference).
% 0.96/1.28 % set(auto) -> set(auto_setup).
% 0.96/1.28 % set(auto_setup) -> set(predicate_elim).
% 0.96/1.28 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.96/1.28 % set(auto) -> set(auto_limits).
% 0.96/1.28 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.96/1.28 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.96/1.28 % set(auto) -> set(auto_denials).
% 0.96/1.28 % set(auto) -> set(auto_process).
% 0.96/1.28 % set(auto2) -> assign(new_constants, 1).
% 0.96/1.28 % set(auto2) -> assign(fold_denial_max, 3).
% 0.96/1.28 % set(auto2) -> assign(max_weight, "200.000").
% 0.96/1.28 % set(auto2) -> assign(max_hours, 1).
% 0.96/1.28 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.96/1.28 % set(auto2) -> assign(max_seconds, 0).
% 0.96/1.28 % set(auto2) -> assign(max_minutes, 5).
% 0.96/1.28 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.96/1.28 % set(auto2) -> set(sort_initial_sos).
% 0.96/1.28 % set(auto2) -> assign(sos_limit, -1).
% 0.96/1.28 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.96/1.28 % set(auto2) -> assign(max_megs, 400).
% 0.96/1.28 % set(auto2) -> assign(stats, some).
% 0.96/1.28 % set(auto2) -> clear(echo_input).
% 0.96/1.28 % set(auto2) -> set(quiet).
% 0.96/1.28 % set(auto2) -> clear(print_initial_clauses).
% 0.96/1.28 % set(auto2) -> clear(print_given).
% 0.96/1.28 assign(lrs_ticks,-1).
% 0.96/1.28 assign(sos_limit,10000).
% 0.96/1.28 assign(order,kbo).
% 0.96/1.28 set(lex_order_vars).
% 0.96/1.28 clear(print_given).
% 0.96/1.28
% 0.96/1.28 % formulas(sos). % not echoed (561 formulas)
% 0.96/1.28
% 0.96/1.28 ============================== end of input ==========================
% 0.96/1.28
% 0.96/1.28 % From the command line: assign(max_seconds, 300).
% 0.96/1.28
% 0.96/1.28 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.96/1.28
% 0.96/1.28 % Formulas that are not ordinary clauses:
% 0.96/1.28
% 0.96/1.28 ============================== end of process non-clausal formulas ===
% 0.96/1.28
% 0.96/1.28 ============================== PROCESS INITIAL CLAUSES ===============
% 0.96/1.28
% 0.96/1.28 ============================== PREDICATE ELIMINATION =================
% 0.96/1.28 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.28 2 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.96/1.28 3 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) # label(cls_sup__assoc_0) # label(axiom). [assumption].
% 0.96/1.28 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].
% 0.96/1.28 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].
% 0.96/1.28 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].
% 0.96/1.28 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].
% 0.96/1.28 8 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_sup__least_0) # label(axiom). [assumption].
% 0.96/1.28 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].
% 0.96/1.28 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].
% 0.96/1.28 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].
% 0.96/1.28 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].
% 0.96/1.28 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].
% 0.96/1.28 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].
% 0.96/1.28 15 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__sup__iff_1) # label(axiom). [assumption].
% 0.96/1.28 16 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__sup__iff_0) # label(axiom). [assumption].
% 0.96/1.28 17 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom). [assumption].
% 0.96/1.28 18 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom). [assumption].
% 0.96/1.28 19 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__supE_1) # label(axiom). [assumption].
% 0.96/1.28 20 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__supE_0) # label(axiom). [assumption].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,2,a)].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,E,tc_fun(D,A)),tc_fun(D,A)). [resolve(1,a,3,a)].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(E,A)),tc_fun(E,A)). [resolve(1,a,4,a)].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)). [resolve(1,a,5,a)].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)). [resolve(1,a,6,a)].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)),tc_fun(D,A)). [resolve(1,a,7,a)].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)). [resolve(1,a,10,a)].
% 0.96/1.28 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,11,a)].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = B | -c_lessequals(C,B,tc_fun(D,A)). [resolve(1,a,12,a)].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) != C | c_lessequals(B,C,tc_fun(D,A)). [resolve(1,a,13,a)].
% 0.96/1.28 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = C | -c_lessequals(B,C,tc_fun(D,A)). [resolve(1,a,14,a)].
% 0.96/1.28 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)].
% 0.96/1.28 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)].
% 0.96/1.28 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)].
% 0.96/1.28 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)].
% 0.96/1.28 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,2,a)].
% 0.96/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat). [resolve(21,a,3,a)].
% 0.96/1.28 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,4,a)].
% 0.96/1.28 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,5,a)].
% 0.96/1.28 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,6,a)].
% 0.96/1.28 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,7,a)].
% 0.96/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,10,a)].
% 0.96/1.28 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,11,a)].
% 0.96/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,12,a)].
% 0.96/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,13,a)].
% 0.96/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,14,a)].
% 0.96/1.28 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)].
% 0.96/1.28 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)].
% 0.96/1.28 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)].
% 0.96/1.28 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)].
% 0.96/1.28 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.96/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,2,a)].
% 0.96/1.28 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool). [resolve(22,a,3,a)].
% 0.96/1.28 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,4,a)].
% 0.96/1.38 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)].
% 0.96/1.38 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,6,a)].
% 0.96/1.38 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,7,a)].
% 0.96/1.38 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)].
% 0.96/1.38 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)].
% 0.96/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,12,a)].
% 0.96/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,13,a)].
% 0.96/1.38 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,14,a)].
% 0.96/1.38 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)].
% 0.96/1.38 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)].
% 0.96/1.38 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)].
% 0.96/1.38 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)].
% 0.96/1.38 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.96/1.38 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.96/1.38 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 0.96/1.38 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 0.96/1.38 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 0.96/1.38 Derived: A = A. [resolve(25,b,26,a)].
% 0.96/1.38
% 0.96/1.38 ============================== end predicate elimination =============
% 0.96/1.38
% 0.96/1.38 Auto_denials: (non-Horn, no changes).
% 0.96/1.38
% 0.96/1.38 Term ordering decisions:
% 0.96/1.38 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. t_a=1. tc_Message_Oagent=1. c_Public_OshrK=1. c_Message_OinvKey=1. c_NS__Shared__Mirabelle_Ons__shared=1. c_Message_Oagent_OServer=1. c_Message_OsymKeys=1. c_Event_Obad=1. v_x=1. c_Public_Okeymode_OEncryption=1. c_Public_Okeymode_OSignature=1. v_evs=1. v_A=1. v_B=1. v_K=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_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_ONonce=1. c_Message_Omsg_OAgent=1. tc_List_Olist=1. c_Public_OpublicKey=1. c_Event_Oused=1. c_Orderings_Otop__class_Otop=1. c_List_Olist_ONil=1. c_Message_Omsg_OHash=1. c_Message_OkeysFor=1. c_NS__Shared__Mirabelle_Ons__sharedp=1. c_Event_OinitState=1. c_Message_Oagent_OFriend=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_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. c_Set_Oimage=1.
% 37.27/37.55
% 37.27/37.55 ============================== end of process initial clauses ========
% 37.27/37.55
% 37.27/37.55 ============================== CLAUSES FOR SEARCH ====================
% 37.27/37.55
% 37.27/37.55 ============================== end of clauses for search =============
% 37.27/37.55
% 37.27/37.55 ============================== SEARCH ================================
% 37.27/37.55
% 37.27/37.55 % Starting search at 0.17 seconds.
% 37.27/37.55
% 37.27/37.55 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 27 (0.00 of 0.41 sec).
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=50.000, iters=3355
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=45.000, iters=3359
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=43.000, iters=3367
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=42.000, iters=3346
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=41.000, iters=3348
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=40.000, iters=3358
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=38.000, iters=3342
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=37.000, iters=3375
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=34.000, iters=3362
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=32.000, iters=3340
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=31.000, iters=3498
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=30.000, iters=3418
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=29.000, iters=3366
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=28.000, iters=3379
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=27.000, iters=3334
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=26.000, iters=3358
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=25.000, iters=3367
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=24.000, iters=3333
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=23.000, iters=3371
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=22.000, iters=3341
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=21.000, iters=3345
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=20.000, iters=3350
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=19.000, iters=3345
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=18.000, iters=3351
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=17.000, iters=3335
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=16.000, iters=3345
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=15.000, iters=3333
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=14.000, iters=3372
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=13.000, iters=3753
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=12.000, iters=3529
% 37.27/37.55
% 37.27/37.55 Low Water (keep): wt=11.000, iters=3336
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=2279, wt=76.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=4132, wt=74.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=2284, wt=73.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=2281, wt=72.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=4066, wt=70.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=4124, wt=69.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=2285, wt=68.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=4110, wt=65.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=4145, wt=62.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=6311, wt=36.000
% 37.27/37.55
% 37.27/37.55 Low Water (displace): id=16512, wt=10.000
% 37.27/37.55
% 37.27/37.55 ============================== PROOF =================================
% 37.27/37.55 % SZS status Unsatisfiable
% 37.27/37.55 % SZS output start Refutation
% 37.27/37.55
% 37.27/37.55 % Proof 1 at 35.71 (+ 0.64) seconds.
% 37.27/37.55 % Length of proof is 32.
% 37.27/37.55 % Level of proof is 10.
% 37.27/37.55 % Maximum clause weight is 20.000.
% 37.27/37.55 % Given clauses 19312.
% 37.27/37.55
% 37.27/37.55 56 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].
% 37.27/37.55 65 -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)) # label(cls_bot1E_0) # label(axiom). [assumption].
% 37.27/37.55 85 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].
% 37.27/37.55 382 A != c_List_Olist_OCons(B,A,C) # label(cls_not__Cons__self_0) # label(axiom). [assumption].
% 37.27/37.55 383 c_List_Olist_OCons(A,B,C) != B. [copy(382),flip(a)].
% 37.27/37.55 390 c_List_Olist_OCons(A,B,C) != c_List_Olist_ONil(C) # label(cls_list_Osimps_I3_J_0) # label(axiom). [assumption].
% 37.27/37.55 393 hBOOL(hAPP(c_Set_Oinsert(A,B,C),D)) | -hBOOL(hAPP(B,D)) # label(cls_insert__code_2) # label(axiom). [assumption].
% 37.27/37.55 399 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].
% 37.27/37.55 416 hBOOL(hAPP(A,B)) | C = B | -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)) # label(cls_insert__code_0) # label(axiom). [assumption].
% 37.27/37.55 432 hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 37.27/37.55 448 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].
% 37.27/37.55 449 c_Set_Oinsert(A,c_List_Oset(B,C),C) = c_List_Oset(c_List_Olist_OCons(A,B,C),C). [copy(448),flip(a)].
% 37.27/37.55 671 -hBOOL(hAPP(c_List_Oset(c_List_Olist_ONil(A),A),B)). [para(85(a,2),65(a,1,1))].
% 37.27/37.55 1651 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(399(a,1),416(c,1,1))].
% 37.27/37.55 1697 hBOOL(hAPP(c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),E),B)). [resolve(432,a,393,b)].
% 37.27/37.55 1707 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(432,a,56,c)].
% 37.27/37.55 1801 hBOOL(hAPP(c_List_Oset(A,B),C)) | D = C | -hBOOL(hAPP(c_List_Oset(c_List_Olist_OCons(D,A,B),B),C)). [para(449(a,1),416(c,1,1))].
% 37.27/37.55 1802 hBOOL(hAPP(c_List_Oset(c_List_Olist_OCons(A,B,C),C),A)). [para(449(a,1),432(a,1,1))].
% 37.27/37.55 20938 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,A,B),C),D)). [resolve(1707,b,1697,a)].
% 37.27/37.55 27121 hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,A,B),C)) | c_Public_Okeymode_OEncryption = C. [resolve(20938,a,1651,c)].
% 37.27/37.55 30064 c_Public_Okeymode_OEncryption = A | hBOOL(hAPP(B,A)) | c_Public_Okeymode_OSignature = A. [resolve(27121,a,416,c)].
% 37.27/37.55 31432 c_Public_Okeymode_OEncryption = A | c_Public_Okeymode_OSignature = A. [resolve(30064,b,671,a)].
% 37.27/37.55 31440 c_List_Olist_OCons(A,c_Public_Okeymode_OSignature,B) = c_Public_Okeymode_OEncryption. [resolve(31432,b,383,a(flip)),flip(a)].
% 37.27/37.55 31503 c_List_Olist_ONil(A) = c_Public_Okeymode_OEncryption | c_List_Olist_OCons(B,C,A) != c_Public_Okeymode_OSignature. [para(31432(b,2),390(a,2)),flip(a)].
% 37.27/37.55 31579 c_List_Olist_ONil(A) = c_Public_Okeymode_OEncryption | -hBOOL(hAPP(c_List_Oset(c_Public_Okeymode_OSignature,A),B)). [para(31432(b,2),671(a,1,1,1)),flip(a)].
% 37.27/37.55 34672 c_List_Olist_ONil(A) != c_Public_Okeymode_OEncryption. [para(31440(a,1),390(a,1)),flip(a)].
% 37.27/37.55 34699 hBOOL(hAPP(c_List_Oset(c_Public_Okeymode_OEncryption,A),B)). [para(31440(a,1),1802(a,1,1,1))].
% 37.27/37.55 34738 hBOOL(hAPP(c_List_Oset(c_Public_Okeymode_OSignature,A),B)) | C = B. [para(31440(a,1),1801(c,1,1,1)),unit_del(c,34699)].
% 37.27/37.55 34921 -hBOOL(hAPP(c_List_Oset(c_Public_Okeymode_OSignature,A),B)). [back_unit_del(31579),unit_del(a,34672)].
% 37.27/37.55 34923 c_List_Olist_OCons(A,B,C) != c_Public_Okeymode_OSignature. [back_unit_del(31503),unit_del(a,34672)].
% 37.27/37.55 34949 A = B. [back_unit_del(34738),unit_del(a,34921)].
% 37.27/37.55 34950 $F. [resolve(34949,a,34923,a)].
% 37.27/37.55
% 37.27/37.55 % SZS output end Refutation
% 37.27/37.55 ============================== end of proof ==========================
% 37.27/37.55
% 37.27/37.55 ============================== STATISTICS ============================
% 37.27/37.55
% 37.27/37.55 Given=19312. Generated=1191662. Kept=34811. proofs=1.
% 37.27/37.55 Usable=19264. Sos=9999. Demods=606. Limbo=28, Disabled=6127. Hints=0.
% 37.27/37.55 Megabytes=40.27.
% 37.27/37.55 User_CPU=35.71, System_CPU=0.64, Wall_clock=36.
% 37.27/37.55
% 37.27/37.55 ============================== end of statistics =====================
% 37.27/37.55
% 37.27/37.55 ============================== end of search =========================
% 37.27/37.55
% 37.27/37.55 THEOREM PROVED
% 37.27/37.55 % SZS status Unsatisfiable
% 37.27/37.55
% 37.27/37.55 Exiting with 1 proof.
% 37.27/37.55
% 37.27/37.55 Process 25744 exit (max_proofs) Thu Jun 16 04:02:49 2022
% 37.27/37.55 Prover9 interrupted
%------------------------------------------------------------------------------