TSTP Solution File: SWV724-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV724-1 : 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 21:14:34 EDT 2022
% Result : Unsatisfiable 16.75s 17.03s
% Output : Refutation 16.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV724-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Wed Jun 15 02:12:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.89/1.20 ============================== Prover9 ===============================
% 0.89/1.20 Prover9 (32) version 2009-11A, November 2009.
% 0.89/1.20 Process 1339 was started by sandbox on n017.cluster.edu,
% 0.89/1.20 Wed Jun 15 02:12:40 2022
% 0.89/1.20 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1184_n017.cluster.edu".
% 0.89/1.20 ============================== end of head ===========================
% 0.89/1.20
% 0.89/1.20 ============================== INPUT =================================
% 0.89/1.20
% 0.89/1.20 % Reading from file /tmp/Prover9_1184_n017.cluster.edu
% 0.89/1.20
% 0.89/1.20 set(prolog_style_variables).
% 0.89/1.20 set(auto2).
% 0.89/1.20 % set(auto2) -> set(auto).
% 0.89/1.20 % set(auto) -> set(auto_inference).
% 0.89/1.20 % set(auto) -> set(auto_setup).
% 0.89/1.20 % set(auto_setup) -> set(predicate_elim).
% 0.89/1.20 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.89/1.20 % set(auto) -> set(auto_limits).
% 0.89/1.20 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.89/1.20 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.89/1.20 % set(auto) -> set(auto_denials).
% 0.89/1.20 % set(auto) -> set(auto_process).
% 0.89/1.20 % set(auto2) -> assign(new_constants, 1).
% 0.89/1.20 % set(auto2) -> assign(fold_denial_max, 3).
% 0.89/1.20 % set(auto2) -> assign(max_weight, "200.000").
% 0.89/1.20 % set(auto2) -> assign(max_hours, 1).
% 0.89/1.20 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.89/1.20 % set(auto2) -> assign(max_seconds, 0).
% 0.89/1.20 % set(auto2) -> assign(max_minutes, 5).
% 0.89/1.20 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.89/1.20 % set(auto2) -> set(sort_initial_sos).
% 0.89/1.20 % set(auto2) -> assign(sos_limit, -1).
% 0.89/1.20 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.89/1.20 % set(auto2) -> assign(max_megs, 400).
% 0.89/1.20 % set(auto2) -> assign(stats, some).
% 0.89/1.20 % set(auto2) -> clear(echo_input).
% 0.89/1.20 % set(auto2) -> set(quiet).
% 0.89/1.20 % set(auto2) -> clear(print_initial_clauses).
% 0.89/1.20 % set(auto2) -> clear(print_given).
% 0.89/1.20 assign(lrs_ticks,-1).
% 0.89/1.20 assign(sos_limit,10000).
% 0.89/1.20 assign(order,kbo).
% 0.89/1.20 set(lex_order_vars).
% 0.89/1.20 clear(print_given).
% 0.89/1.20
% 0.89/1.20 % formulas(sos). % not echoed (567 formulas)
% 0.89/1.20
% 0.89/1.20 ============================== end of input ==========================
% 0.89/1.20
% 0.89/1.20 % From the command line: assign(max_seconds, 300).
% 0.89/1.20
% 0.89/1.20 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.89/1.20
% 0.89/1.20 % Formulas that are not ordinary clauses:
% 0.89/1.20
% 0.89/1.20 ============================== end of process non-clausal formulas ===
% 0.89/1.20
% 0.89/1.20 ============================== PROCESS INITIAL CLAUSES ===============
% 0.89/1.20
% 0.89/1.20 ============================== PREDICATE ELIMINATION =================
% 0.89/1.20 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.89/1.20 2 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 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].
% 0.89/1.20 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,2,a)].
% 0.89/1.20 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)].
% 0.89/1.20 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)].
% 0.89/1.20 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)].
% 0.89/1.20 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)].
% 0.89/1.20 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)].
% 0.89/1.20 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)].
% 0.89/1.20 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)].
% 0.89/1.20 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)].
% 0.89/1.20 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)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.89/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,2,a)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,6,a)].
% 0.89/1.21 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,7,a)].
% 0.89/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,10,a)].
% 0.89/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,11,a)].
% 0.89/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,12,a)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 0.89/1.21 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.89/1.21 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,2,a)].
% 0.89/1.21 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)].
% 0.89/1.21 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)].
% 1.53/1.80 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)].
% 1.53/1.80 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,6,a)].
% 1.53/1.80 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,7,a)].
% 1.53/1.80 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,10,a)].
% 1.53/1.80 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,11,a)].
% 1.53/1.80 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,12,a)].
% 1.53/1.80 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)].
% 1.53/1.80 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)].
% 1.53/1.80 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)].
% 1.53/1.80 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)].
% 1.53/1.80 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)].
% 1.53/1.80 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)].
% 1.53/1.80 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.53/1.80 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.53/1.80 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 1.53/1.80 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 1.53/1.80 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 1.53/1.80 Derived: A = A. [resolve(25,b,26,a)].
% 1.53/1.80
% 1.53/1.80 ============================== end predicate elimination =============
% 1.53/1.80
% 1.53/1.80 Auto_denials: (non-Horn, no changes).
% 1.53/1.80
% 1.53/1.80 Term ordering decisions:
% 1.53/1.80 Function symbol KB weights: tc_Message_Omsg=1. tc_bool=1. tc_Event_Oevent=1. c_Message_Omsg_OKey=1. tc_nat=1. c_Message_Oagent_OSpy=1. c_Public_OshrK=1. c_NS__Shared__Mirabelle_Ons__shared=1. tc_Message_Oagent=1. c_Message_Oagent_OServer=1. c_Message_OsymKeys=1. c_Event_Obad=1. t_a=1. v_x=1. v_A=1. v_evs=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_Message_OHPair=1. c_Event_Oevent_ONotes=1. c_Event_Oevent_OGets=1. c_List_Olists=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. c_Event_Oused=1. c_Message_Omsg_OHash=1. tc_List_Olist=1. c_Message_OinvKey=1. c_Message_OkeysFor=1. c_Public_OpublicKey=1. c_NS__Shared__Mirabelle_Ons__sharedp=1. c_Message_Omsg_ONumber=1. c_List_Olist_ONil=1. c_Event_OinitState=1. c_Message_Oagent_OFriend=1. c_in=1. c_Set_Oinsert=1. c_Lattices_Oupper__semilattice__class_Osup=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. c_Message_Oagent_Oagent__case=1. c_Message_Oagent_Oagent__rec=1. c_Message_Omsg_Omsg__rec=1. c_Message_Omsg_Omsg__case=1.
% 1.53/1.80
% 1.53/1.80 ============================== end of process initial clauses ========
% 1.53/1.80
% 1.53/1.80 ============================== CLAUSES FOR SEARCH ====================
% 1.53/1.80
% 1.53/1.80 ============================== end of clauses for search =============
% 1.53/1.80
% 1.53/1.80 ============================== SEARCH ================================
% 1.53/1.80
% 1.53/1.80 % Starting search at 0.16 seconds.
% 1.53/1.80
% 1.53/1.80 Low Water (keep): wt=42.000, iters=3361
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=37.000, iters=3366
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=34.000, iters=3378
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=33.000, iters=3476
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=32.000, iters=3476
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=31.000, iters=3456
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=30.000, iters=3427
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=29.000, iters=3349
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=28.000, iters=3337
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=27.000, iters=3354
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=26.000, iters=3389
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=25.000, iters=3426
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=24.000, iters=3360
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=23.000, iters=3352
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=22.000, iters=3350
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=21.000, iters=3343
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=20.000, iters=3341
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=19.000, iters=3333
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=18.000, iters=3333
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=17.000, iters=3350
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=16.000, iters=3335
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=15.000, iters=3333
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=14.000, iters=3334
% 16.75/17.03
% 16.75/17.03 Low Water (keep): wt=13.000, iters=3333
% 16.75/17.03
% 16.75/17.03 Low Water (displace): id=16756, wt=97.000
% 16.75/17.03
% 16.75/17.03 Low Water (displace): id=19084, wt=13.000
% 16.75/17.03
% 16.75/17.03 ============================== PROOF =================================
% 16.75/17.03 % SZS status Unsatisfiable
% 16.75/17.03 % SZS output start Refutation
% 16.75/17.03
% 16.75/17.03 % Proof 1 at 15.55 (+ 0.34) seconds.
% 16.75/17.03 % Length of proof is 17.
% 16.75/17.03 % Level of proof is 6.
% 16.75/17.03 % Maximum clause weight is 23.000.
% 16.75/17.03 % Given clauses 11319.
% 16.75/17.03
% 16.75/17.03 535 -hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)) | hBOOL(c_in(A,c_Message_Oparts(B),tc_Message_Omsg)) # label(cls_not__parts__not__analz_0) # label(axiom). [assumption].
% 16.75/17.03 554 hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)) | -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,B)),tc_Message_Omsg)) | -hBOOL(c_in(B,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) # label(cls_Spy__see__shrK_0) # label(axiom). [assumption].
% 16.75/17.03 556 hBOOL(c_in(A,c_Message_Oanalz(B),tc_Message_Omsg)) | -hBOOL(c_in(A,B,tc_Message_Omsg)) # label(cls_analz_OInj_0) # label(axiom). [assumption].
% 16.75/17.03 559 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,A)),c_Event_Oknows(c_Message_Oagent_OSpy,B),tc_Message_Omsg)) | -hBOOL(c_in(A,c_Event_Obad,tc_Message_Oagent)) # label(cls_Spy__spies__bad__shrK_0) # label(axiom). [assumption].
% 16.75/17.03 562 hBOOL(c_in(A,B,C)) | -hBOOL(hAPP(B,A)) # label(cls_mem__def_1) # label(axiom). [assumption].
% 16.75/17.03 563 hBOOL(hAPP(A,B)) | -hBOOL(c_in(B,A,C)) # label(cls_mem__def_0) # label(axiom). [assumption].
% 16.75/17.03 565 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 16.75/17.03 566 -hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) | -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 16.75/17.03 567 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) | hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 16.75/17.03 2212 hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)). [resolve(565,a,563,b)].
% 16.75/17.03 2224 hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)). [resolve(567,a,535,a)].
% 16.75/17.03 2474 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,A)). [resolve(2212,a,562,b)].
% 16.75/17.03 34035 hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)). [resolve(2224,b,554,b),merge(b),unit_del(b,2474)].
% 16.75/17.03 34036 -hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)). [back_unit_del(566),unit_del(a,34035)].
% 16.75/17.03 34044 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,A),tc_Message_Omsg)). [resolve(34035,a,559,b)].
% 16.75/17.03 36205 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg)). [resolve(34044,a,556,b)].
% 16.75/17.03 36206 $F. [resolve(36205,a,34036,a)].
% 16.75/17.03
% 16.75/17.03 % SZS output end Refutation
% 16.75/17.03 ============================== end of proof ==========================
% 16.75/17.03
% 16.75/17.03 ============================== STATISTICS ============================
% 16.75/17.03
% 16.75/17.03 Given=11319. Generated=613906. Kept=36044. proofs=1.
% 16.75/17.03 Usable=8157. Sos=9994. Demods=1090. Limbo=1, Disabled=18505. Hints=0.
% 16.75/17.03 Megabytes=32.33.
% 16.75/17.03 User_CPU=15.55, System_CPU=0.34, Wall_clock=16.
% 16.75/17.03
% 16.75/17.03 ============================== end of statistics =====================
% 16.75/17.03
% 16.75/17.03 ============================== end of search =========================
% 16.75/17.03
% 16.75/17.03 THEOREM PROVED
% 16.75/17.03 % SZS status Unsatisfiable
% 16.75/17.03
% 16.75/17.03 Exiting with 1 proof.
% 16.75/17.03
% 16.75/17.03 Process 1339 exit (max_proofs) Wed Jun 15 02:12:56 2022
% 16.75/17.03 Prover9 interrupted
%------------------------------------------------------------------------------