TSTP Solution File: SWV915-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV915-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 21:15:14 EDT 2022
% Result : Unknown 101.64s 101.92s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV915-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 01:45:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.90/1.20 ============================== Prover9 ===============================
% 0.90/1.20 Prover9 (32) version 2009-11A, November 2009.
% 0.90/1.20 Process 21627 was started by sandbox2 on n011.cluster.edu,
% 0.90/1.20 Thu Jun 16 01:45:06 2022
% 0.90/1.20 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_21474_n011.cluster.edu".
% 0.90/1.20 ============================== end of head ===========================
% 0.90/1.20
% 0.90/1.20 ============================== INPUT =================================
% 0.90/1.20
% 0.90/1.20 % Reading from file /tmp/Prover9_21474_n011.cluster.edu
% 0.90/1.20
% 0.90/1.20 set(prolog_style_variables).
% 0.90/1.20 set(auto2).
% 0.90/1.20 % set(auto2) -> set(auto).
% 0.90/1.20 % set(auto) -> set(auto_inference).
% 0.90/1.20 % set(auto) -> set(auto_setup).
% 0.90/1.20 % set(auto_setup) -> set(predicate_elim).
% 0.90/1.20 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.90/1.20 % set(auto) -> set(auto_limits).
% 0.90/1.20 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.90/1.20 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.90/1.20 % set(auto) -> set(auto_denials).
% 0.90/1.20 % set(auto) -> set(auto_process).
% 0.90/1.20 % set(auto2) -> assign(new_constants, 1).
% 0.90/1.20 % set(auto2) -> assign(fold_denial_max, 3).
% 0.90/1.20 % set(auto2) -> assign(max_weight, "200.000").
% 0.90/1.20 % set(auto2) -> assign(max_hours, 1).
% 0.90/1.20 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.90/1.20 % set(auto2) -> assign(max_seconds, 0).
% 0.90/1.20 % set(auto2) -> assign(max_minutes, 5).
% 0.90/1.20 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.90/1.20 % set(auto2) -> set(sort_initial_sos).
% 0.90/1.20 % set(auto2) -> assign(sos_limit, -1).
% 0.90/1.20 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.90/1.20 % set(auto2) -> assign(max_megs, 400).
% 0.90/1.20 % set(auto2) -> assign(stats, some).
% 0.90/1.20 % set(auto2) -> clear(echo_input).
% 0.90/1.20 % set(auto2) -> set(quiet).
% 0.90/1.20 % set(auto2) -> clear(print_initial_clauses).
% 0.90/1.20 % set(auto2) -> clear(print_given).
% 0.90/1.20 assign(lrs_ticks,-1).
% 0.90/1.20 assign(sos_limit,10000).
% 0.90/1.20 assign(order,kbo).
% 0.90/1.20 set(lex_order_vars).
% 0.90/1.20 clear(print_given).
% 0.90/1.20
% 0.90/1.20 % formulas(sos). % not echoed (454 formulas)
% 0.90/1.20
% 0.90/1.20 ============================== end of input ==========================
% 0.90/1.20
% 0.90/1.20 % From the command line: assign(max_seconds, 300).
% 0.90/1.20
% 0.90/1.20 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.90/1.20
% 0.90/1.20 % Formulas that are not ordinary clauses:
% 0.90/1.20
% 0.90/1.20 ============================== end of process non-clausal formulas ===
% 0.90/1.20
% 0.90/1.20 ============================== PROCESS INITIAL CLAUSES ===============
% 0.90/1.20
% 0.90/1.20 ============================== PREDICATE ELIMINATION =================
% 0.90/1.20 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.90/1.20 2 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__sup__iff_2) # label(axiom). [assumption].
% 0.90/1.20 3 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_sup__least_0) # label(axiom). [assumption].
% 0.90/1.20 4 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A) # label(cls_sup__ge2_0) # label(axiom). [assumption].
% 0.90/1.20 5 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A) # label(cls_sup__ge1_0) # label(axiom). [assumption].
% 0.90/1.20 6 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__supI_0) # label(axiom). [assumption].
% 0.90/1.20 7 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)) # label(cls_sup__left__commute_0) # label(axiom). [assumption].
% 0.90/1.20 8 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)) # label(cls_sup__assoc_0) # label(axiom). [assumption].
% 0.90/1.20 9 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.90/1.20 10 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B) # label(cls_sup__commute_0) # label(axiom). [assumption].
% 0.90/1.20 11 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) # label(cls_sup__left__idem_0) # label(axiom). [assumption].
% 0.90/1.20 12 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom). [assumption].
% 0.90/1.20 13 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) != C | c_lessequals(B,C,A) # label(cls_le__iff__sup_1) # label(axiom). [assumption].
% 0.90/1.20 14 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom). [assumption].
% 0.90/1.20 15 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A) # label(cls_le__sup__iff_1) # label(axiom). [assumption].
% 0.90/1.20 16 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A) # label(cls_le__sup__iff_0) # label(axiom). [assumption].
% 0.90/1.20 17 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom). [assumption].
% 0.90/1.20 18 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom). [assumption].
% 0.90/1.20 19 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A) # label(cls_le__supE_1) # label(axiom). [assumption].
% 0.90/1.20 20 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A) # label(cls_le__supE_0) # label(axiom). [assumption].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_lessequals(D,E,tc_fun(B,A)) | -c_lessequals(C,E,tc_fun(B,A)). [resolve(1,a,2,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),B),tc_fun(C,A)). [resolve(1,a,4,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),B),D),tc_fun(C,A)). [resolve(1,a,5,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),E)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),E)). [resolve(1,a,7,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D)),E) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),E)). [resolve(1,a,8,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),C) = C. [resolve(1,a,9,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),C). [resolve(1,a,10,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D). [resolve(1,a,11,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) = C | -c_lessequals(D,C,tc_fun(B,A)). [resolve(1,a,12,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) != D | c_lessequals(C,D,tc_fun(B,A)). [resolve(1,a,13,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) = D | -c_lessequals(C,D,tc_fun(B,A)). [resolve(1,a,14,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,A)),E),B),C,tc_fun(D,A)). [resolve(1,a,15,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,A)),B),E),C,tc_fun(D,A)). [resolve(1,a,16,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_lessequals(B,E,tc_fun(C,A)). [resolve(1,a,17,a)].
% 0.90/1.20 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_lessequals(B,D,tc_fun(C,A)). [resolve(1,a,18,a)].
% 0.90/1.20 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.90/1.20 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B),C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(21,a,2,a)].
% 0.90/1.20 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),A),tc_nat). [resolve(21,a,4,a)].
% 0.90/1.20 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B),tc_nat). [resolve(21,a,5,a)].
% 0.90/1.20 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),C)). [resolve(21,a,7,a)].
% 0.90/1.20 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B)),C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C)). [resolve(21,a,8,a)].
% 0.90/1.20 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),A) = A. [resolve(21,a,9,a)].
% 0.90/1.20 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),A). [resolve(21,a,10,a)].
% 0.90/1.20 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B). [resolve(21,a,11,a)].
% 0.90/1.20 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,12,a)].
% 0.90/1.20 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,13,a)].
% 0.90/1.20 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,14,a)].
% 0.90/1.20 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),C),A),B,tc_nat). [resolve(21,a,15,a)].
% 0.90/1.20 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),C),B,tc_nat). [resolve(21,a,16,a)].
% 0.90/1.20 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C),tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(21,a,17,a)].
% 0.90/1.24 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(21,a,18,a)].
% 0.90/1.24 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.90/1.24 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B),C,tc_bool) | -c_lessequals(B,C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(22,a,2,a)].
% 0.90/1.24 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),A),tc_bool). [resolve(22,a,4,a)].
% 0.90/1.24 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B),tc_bool). [resolve(22,a,5,a)].
% 0.90/1.24 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),C)). [resolve(22,a,7,a)].
% 0.90/1.24 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B)),C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C)). [resolve(22,a,8,a)].
% 0.90/1.24 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),A) = A. [resolve(22,a,9,a)].
% 0.90/1.24 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),A). [resolve(22,a,10,a)].
% 0.90/1.24 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B). [resolve(22,a,11,a)].
% 0.90/1.24 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,12,a)].
% 0.90/1.24 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,13,a)].
% 0.90/1.24 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,14,a)].
% 0.90/1.24 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),C),A),B,tc_bool). [resolve(22,a,15,a)].
% 0.90/1.24 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),C),B,tc_bool). [resolve(22,a,16,a)].
% 0.90/1.24 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C),tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(22,a,17,a)].
% 0.90/1.24 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C),tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(22,a,18,a)].
% 0.90/1.24 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.90/1.24 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.90/1.24 25 -class_Orderings_Olinorder(A) | c_Finite__Set_Olinorder__class_OMin(hAPP(c_Set_Oinsert(B,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A) = B # label(cls_Min__singleton_0) # label(axiom). [assumption].
% 0.90/1.24 26 -class_Orderings_Olinorder(A) | c_Finite__Set_Olinorder__class_OMax(hAPP(c_Set_Oinsert(B,A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A) = B # label(cls_Max__singleton_0) # label(axiom). [assumption].
% 0.90/1.24 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 0.90/1.24 Derived: c_Finite__Set_Olinorder__class_OMin(hAPP(c_Set_Oinsert(A,tc_nat),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),tc_nat) = A. [resolve(23,a,25,a)].
% 0.90/1.24 Derived: c_Finite__Set_Olinorder__class_OMax(hAPP(c_Set_Oinsert(A,tc_nat),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),tc_nat) = A. [resolve(23,a,26,a)].
% 0.90/1.24
% 0.90/1.24 ============================== end predicate elimination =============
% 2.25/2.50
% 2.25/2.50 Auto_denials: (non-Horn, no changes).
% 2.25/2.50
% 2.25/2.50 Term ordering decisions:
% 2.25/2.50 Function symbol KB weights: tc_bool=1. t_a=1. tc_Com_Ostate=1. tc_nat=1. c_Natural_Oupdate=1. v_x=1. v_Q=1. v_P=1. c_Com_Ocom_OSKIP=1. v_R=1. c_and=1. t_b=1. tc_Com_Ocom=1. c_Not=1. t_c=1. tc_Com_Ovname=1. c_False=1. c_True=1. c_or=1. v_G=1. v_Y=1. v_c=1. v_a=1. hAPP=1. tc_fun=1. c_Set_Oinsert=1. c_Collect=1. c_Com_Ocom_OWhile=1. c_Com_Ocom_OAss=1. c_Com_Ocom_OSemi=1. c_Complete__Lattice_OSup__class_OSup=1. c_List_Oset=1. c_Natural_Ogetlocs=1. c_Option_Othe=1. c_The=1. c_Complete__Lattice_OInf__class_OInf=1. c_Nitpick_Osko__Nitpick__XEx1__def__1__3=1. v_sko__Hoare__Mirabelle__Xconseq1__1=1. v_sko__Hoare__Mirabelle__Xconseq1__2=1. v_sko__Hoare__Mirabelle__Xconseq2__1=1. v_sko__Hoare__Mirabelle__Xconseq2__2=1. v_sko__Hoare__Mirabelle__Xhoare__SkipI__1=1. v_sko__Hoare__Mirabelle__Xhoare__SkipI__2=1. c_Finite__Set_Olinorder__class_OMax=1. c_Finite__Set_Olinorder__class_OMin=1. c_Set_Ocontents=1. c_Orderings_Obot__class_Obot=1. c_Lattices_Oupper__semilattice__class_Osup=1. tc_Hoare__Mirabelle_Otriple=1. c_Com_Ovname_OLoc=1. c_fequal=1. c_Com_Ocom_OBODY=1. c_Com_Obody=1. c_in=1. c_HOL_Ominus__class_Ominus=1. c_COMBB=1. c_Com_Ocom_OCond=1. c_COMBK=1. c_Com_Ocom_OLocal=1. c_SetInterval_Oord__class_OatLeastAtMost=1. c_Hoare__Mirabelle_Opeek__and=1. c_Finite__Set_Ofold1Set=1. c_Finite__Set_Ofold1=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_Complete__Lattice_Ocomplete__lattice__class_OSUPR=1. c_COMBC=1. c_COMBS=1. c_List_Omap=1. c_Com_Ovname_Ovname__case=1. c_List_Osko__List__Xfoldl__apply__inv__1__1=1. v_sko__Hoare__Mirabelle__Xconseq12__1=1. v_sko__Hoare__Mirabelle__Xconseq12__2=1. v_sko__Hoare__Mirabelle__Xconseq12__3=1. v_sko__Hoare__Mirabelle__Xescape__1=1. v_sko__Hoare__Mirabelle__Xescape__2=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2=1. c_Com_Ovname_Ovname__rec=1. v_sko__Hoare__Mirabelle__Xexport__s__1=1. c_Fun_Ocomp=1. c_List_Ofoldl=1. c_Natural_Osko__Natural__Xevalc__elim__cases__3__1=1. c_Natural_Osko__Natural__Xevaln__elim__cases__3__1=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3=1.
% 2.25/2.50
% 2.25/2.50 ============================== end of process initial clauses ========
% 2.25/2.50
% 2.25/2.50 ============================== CLAUSES FOR SEARCH ====================
% 2.25/2.50
% 2.25/2.50 ============================== end of clauses for search =============
% 2.25/2.50
% 2.25/2.50 ============================== SEARCH ================================
% 2.25/2.50
% 2.25/2.50 % Starting search at 0.15 seconds.
% 2.25/2.50
% 2.25/2.50 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 86 (0.00 of 0.51 sec).
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=63.000, iters=3366
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=53.000, iters=3342
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=50.000, iters=3393
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=47.000, iters=3394
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=46.000, iters=3363
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=45.000, iters=3355
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=44.000, iters=3398
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=43.000, iters=3339
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=41.000, iters=3393
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=39.000, iters=3368
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=38.000, iters=3366
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=36.000, iters=3333
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=35.000, iters=3467
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=33.000, iters=3361
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=32.000, iters=3334
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=31.000, iters=3373
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=30.000, iters=3348
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=29.000, iters=3370
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=27.000, iters=3390
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=26.000, iters=3335
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=25.000, iters=3344
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=24.000, iters=3384
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=23.000, iters=3438
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=22.000, iters=3439
% 2.25/2.50
% 2.25/2.50 Low Water (keep): wt=21.000, iters=3379
% 2.25/2.50
% 2.25/2.50 Low Water (displace): id=9890, wt=60.000
% 2.25/2.50
% 2.25/2.50 Low Water (displace): id=9687, wt=58.000
% 2.25/2.50
% 2.25/2.50 Low Water (displace): id=9652, wt=57.000
% 2.25/2.50
% 2.25/2.50 Low Water (displace): id=9642, wt=56.000
% 2.25/2.50
% 2.25/2.50 Low Water (displace): id=8270, wt=55.000
% 2.25/2.50
% 2.25/2.50 Low Water (displace): id=9392, wt=54.000
% 2.25/2.50
% 2.25/2.50 Low Water (displace): id=8267, wt=53.000
% 2.25/2.50
% 2.25/2.50 Low Water (displace): id=9380, wt=52.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=7475, wt=51.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=8263, wt=50.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=9644, wt=49.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=9636, wt=48.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=9632, wt=47.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=9682, wt=46.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11337, wt=45.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=9634, wt=44.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11492, wt=43.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11494, wt=42.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11479, wt=41.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=7629, wt=40.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11693, wt=39.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11469, wt=38.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11828, wt=37.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11496, wt=36.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11485, wt=35.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=11466, wt=34.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=12424, wt=28.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=12435, wt=26.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=12473, wt=25.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=12475, wt=19.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=12492, wt=18.000
% 101.64/101.91
% 101.64/101.91 Low Water (keep): wt=20.000, iters=3359
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=12694, wt=17.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=12701, wt=16.000
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=13729, wt=15.000
% 101.64/101.91
% 101.64/101.91 Low Water (keep): wt=19.000, iters=3357
% 101.64/101.91
% 101.64/101.91 Low Water (keep): wt=18.000, iters=3333
% 101.64/101.91
% 101.64/101.91 Low Water (displace): id=19348, wt=14.000
% 101.64/101.91
% 101.64/101.91 Low Water (keep): wt=17.000, iters=3335
% 101.64/101.91
% 101.64/101.91 Low Water (keep): wt=16.000, iters=3333
% 101.64/101.91
% 101.64/101.91 ============================== STATISTICS ============================
% 101.64/101.91
% 101.64/101.91 Given=18835. Generated=3261720. Kept=452657. proofs=0.
% 101.64/101.91 Usable=17550. Sos=9997. Demods=1048. Limbo=300, Disabled=425312. Hints=0.
% 101.64/101.91 Kept_by_rule=0, Deleted_by_rule=10.
% 101.64/101.91 Forward_subsumed=713115. Back_subsumed=35.
% 101.64/101.91 Sos_limit_deleted=2095937. Sos_displaced=421587. Sos_removed=0.
% 101.64/101.91 New_demodulators=1443 (2 lex), Back_demodulated=3168. Back_unit_deleted=20.
% 101.64/101.91 Demod_attempts=76991315. Demod_rewrites=675901.
% 101.64/101.91 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 101.64/101.91 Nonunit_fsub_feature_tests=1086509. Nonunit_bsub_feature_tests=9399.
% 101.64/101.91 Megabytes=419.43.
% 101.64/101.91 User_CPU=98.79, System_CPU=1.99, Wall_clock=101.
% 101.64/101.91
% 101.64/101.91 Megs malloced by palloc(): 400.
% 101.64/101.91 type (bytes each) gets frees in use bytes
% 101.64/101.91 chunk ( 104) 13232 13232 0 0.0 K
% 101.64/101.91 string_buf ( 8) 12355 12355 0 0.0 K
% 101.64/101.91 token ( 20) 27349 27349 0 0.0 K
% 101.64/101.91 pterm ( 16) 19552 19552 0 0.0 K
% 101.64/101.91 hashtab ( 8) 0 0 0 0.0 K
% 101.64/101.91 hashnode ( 8) 0 0 0 0.0 K
% 101.64/101.91 term ( 20) 127657720 117947074 9710646 189661.1 K
% 101.64/101.91 term arg arrays: 53250.2 K
% 101.64/101.91 attribute ( 12) 1496 72 1424 16.7 K
% 101.64/101.91 ilist ( 8) 711540344 709490201 2050143 16016.7 K
% 101.64/101.91 plist ( 8) 13267908 12774064 493844 3858.2 K
% 101.64/101.91 i2list ( 12) 24428103 24428103 0 0.0 K
% 101.64/101.91 just ( 12) 3963692 3482807 480885 5635.4 K
% 101.64/101.91 parajust ( 16) 1843212 1674155 169057 2641.5 K
% 101.64/101.91 instancejust ( 8) 0 0 0 0.0 K
% 101.64/101.91 ivyjust ( 24) 0 0 0 0.0 K
% 101.64/101.91 formula ( 28) 1871 1871 0 0.0 K
% 101.64/101.91 formula arg arrays: 0.0 K
% 101.64/101.91 topform ( 52) 3262234 2809062 453172 23012.6 K
% 101.64/101.91 clist_pos ( 20) 1351530 897323 454207 8871.2 K
% 101.64/101.91 clist ( 16) 8 1 7 0.1 K
% 101.64/101.91 context ( 808) 17087189 17087187 2 1.6 K
% 101.64/101.91 trail ( 12) 18466609 18466607 2 0.0 K
% 101.64/101.91 ac_match_pos (70044) 0 0 0 0.0 K
% 101.64/101.91 ac_match_free_vars_pos (20020)
% 101.64/101.91 0 0 0 0.0 K
% 101.64/101.91 btm_state ( 60) 0 0 0 0.0 K
% 101.64/101.91 btu_state ( 60) 0 0 0 0.0 K
% 101.64/101.91 ac_position (285432) 0 0 0 0.0 K
% 101.64/101.91 fpa_trie ( 20) 4472694 4102894 369800 7222.7 K
% 101.64/101.91 fpa_state ( 28) 4185696 4185696 0 0.0 K
% 101.64/101.92 fpa_index ( 12) 10 0 10 0.1 K
% 101.64/101.92 fpa_chunk ( 20) 6016092 5910072 106020 2070.7 K
% 101.64/101.92 fpa_list ( 16) 4157417 0 4157417 64959.6 K
% 101.64/101.92 fpa_list chunks: 6843.4 K
% 101.64/101.92 discrim ( 12) 6402493 6234012 168481 1974.4 K
% 101.64/101.92 discrim_pos ( 16) 2043545 2043545 0 0.0 K
% 101.64/101.92 flat2 ( 32) 52871348 52871348 0 0.0 K
% 101.64/101.92 flat ( 48) 0 0 0 0.0 K
% 101.64/101.92 flatterm ( 32) 123129124 123129124 0 0.0 K
% 101.64/101.92 mindex ( 28) 13 0 13 0.4 K
% 101.64/101.92 mindex_pos ( 56) 8894384 8894384 0 0.0 K
% 101.64/101.92 lindex ( 12) 5 0 5 0.1 K
% 101.64/101.92 clash ( 40) 0 0 0 0.0 K
% 101.64/101.92 di_tree ( 12) 10802136 9347449 1454687 17047.1 K
% 101.64/101.92 avl_node ( 20) 904270 884276 19994 390.5 K
% 101.64/101.92
% 101.64/101.92 Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 101.64/101.92 List 1, length 431, 1.7 K
% 101.64/101.92 List 2, length 382, 3.0 K
% 101.64/101.92 List 3, length 10, 0.1 K
% 101.64/101.92 List 8, length 34, 1.1 K
% 101.64/101.92 List 10, length 2, 0.1 K
% 101.64/101.92 List 11, length 5, 0.2 K
% 101.64/101.92 List 14, length 2, 0.1 K
% 101.64/101.92 List 16, length 429, 26.8 K
% 101.64/101.92 List 26, length 177, 18.0 K
% 101.64/101.92 List 32, length 27, 3.4 K
% 101.64/101.92 List 64, length 144, 36.0 K
% 101.64/101.92 List 128, length 119, 59.5 K
% 101.64/101.92 List 202, length 2, 1.6 K
% 101.64/101.92 List 256, length 99, 99.0 K
% 101.64/101.92
% 101.64/101.92 ============================== SELECTOR REPORT =======================
% 101.64/101.92 Sos_deleted=2095937, Sos_displaced=421587, Sos_size=9997
% 101.64/101.92 SELECTOR PART PRIORITY ORDER SIZE SELECTED
% 101.64/101.92 I 2147483647 high age 0 398
% 101.64/101.92 H 1 high weight 0 0
% 101.64/101.92 A 1 low age 9997 2049
% 101.64/101.92 F 4 low weight 2929 8196
% 101.64/101.92 T 4 low weight 7068 8192
% 101.64/101.92 ============================== end of selector report ================
% 101.64/101.92
% 101.64/101.92 ============================== end of statistics =====================
% 101.64/101.92
% 101.64/101.92 Exiting with failure.
% 101.64/101.92
% 101.64/101.92 Process 21627 exit (max_megs) Thu Jun 16 01:46:47 2022
% 101.64/101.92 Prover9 interrupted
%------------------------------------------------------------------------------