TSTP Solution File: SWV916-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV916-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 119.88s 120.11s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV916-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.17/0.32 % DateTime : Thu Jun 16 06:49:54 EDT 2022
% 0.17/0.32 % CPUTime :
% 0.94/1.19 ============================== Prover9 ===============================
% 0.94/1.19 Prover9 (32) version 2009-11A, November 2009.
% 0.94/1.19 Process 29725 was started by sandbox2 on n012.cluster.edu,
% 0.94/1.19 Thu Jun 16 06:49:55 2022
% 0.94/1.19 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_29322_n012.cluster.edu".
% 0.94/1.19 ============================== end of head ===========================
% 0.94/1.19
% 0.94/1.19 ============================== INPUT =================================
% 0.94/1.19
% 0.94/1.19 % Reading from file /tmp/Prover9_29322_n012.cluster.edu
% 0.94/1.19
% 0.94/1.19 set(prolog_style_variables).
% 0.94/1.19 set(auto2).
% 0.94/1.19 % set(auto2) -> set(auto).
% 0.94/1.19 % set(auto) -> set(auto_inference).
% 0.94/1.19 % set(auto) -> set(auto_setup).
% 0.94/1.19 % set(auto_setup) -> set(predicate_elim).
% 0.94/1.19 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.94/1.19 % set(auto) -> set(auto_limits).
% 0.94/1.19 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.94/1.19 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.94/1.19 % set(auto) -> set(auto_denials).
% 0.94/1.19 % set(auto) -> set(auto_process).
% 0.94/1.19 % set(auto2) -> assign(new_constants, 1).
% 0.94/1.19 % set(auto2) -> assign(fold_denial_max, 3).
% 0.94/1.19 % set(auto2) -> assign(max_weight, "200.000").
% 0.94/1.19 % set(auto2) -> assign(max_hours, 1).
% 0.94/1.19 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.94/1.19 % set(auto2) -> assign(max_seconds, 0).
% 0.94/1.19 % set(auto2) -> assign(max_minutes, 5).
% 0.94/1.19 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.94/1.19 % set(auto2) -> set(sort_initial_sos).
% 0.94/1.19 % set(auto2) -> assign(sos_limit, -1).
% 0.94/1.19 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.94/1.19 % set(auto2) -> assign(max_megs, 400).
% 0.94/1.19 % set(auto2) -> assign(stats, some).
% 0.94/1.19 % set(auto2) -> clear(echo_input).
% 0.94/1.19 % set(auto2) -> set(quiet).
% 0.94/1.19 % set(auto2) -> clear(print_initial_clauses).
% 0.94/1.19 % set(auto2) -> clear(print_given).
% 0.94/1.19 assign(lrs_ticks,-1).
% 0.94/1.19 assign(sos_limit,10000).
% 0.94/1.19 assign(order,kbo).
% 0.94/1.19 set(lex_order_vars).
% 0.94/1.19 clear(print_given).
% 0.94/1.19
% 0.94/1.19 % formulas(sos). % not echoed (462 formulas)
% 0.94/1.19
% 0.94/1.19 ============================== end of input ==========================
% 0.94/1.19
% 0.94/1.19 % From the command line: assign(max_seconds, 300).
% 0.94/1.19
% 0.94/1.19 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.94/1.19
% 0.94/1.19 % Formulas that are not ordinary clauses:
% 0.94/1.19
% 0.94/1.19 ============================== end of process non-clausal formulas ===
% 0.94/1.19
% 0.94/1.19 ============================== PROCESS INITIAL CLAUSES ===============
% 0.94/1.19
% 0.94/1.19 ============================== PREDICATE ELIMINATION =================
% 0.94/1.19 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.94/1.19 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__supI_0) # label(axiom). [assumption].
% 0.94/1.19 3 -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].
% 0.94/1.19 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].
% 0.94/1.19 5 -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].
% 0.94/1.19 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__sup__iff_2) # label(axiom). [assumption].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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].
% 0.94/1.19 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)].
% 0.94/1.19 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,3,a)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.94/1.19 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)].
% 0.94/1.19 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B),tc_nat). [resolve(21,a,3,a)].
% 0.94/1.19 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),A),tc_nat). [resolve(21,a,4,a)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),A) = A. [resolve(21,a,9,a)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.94/1.19 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)].
% 0.99/1.23 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)].
% 0.99/1.23 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.99/1.23 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)].
% 0.99/1.23 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B),tc_bool). [resolve(22,a,3,a)].
% 0.99/1.23 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),A),tc_bool). [resolve(22,a,4,a)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),A) = A. [resolve(22,a,9,a)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.99/1.23 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.99/1.23 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].
% 0.99/1.23 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].
% 0.99/1.23 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 0.99/1.23 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)].
% 0.99/1.23 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)].
% 0.99/1.23
% 0.99/1.23 ============================== end predicate elimination =============
% 2.16/2.43
% 2.16/2.43 Auto_denials: (non-Horn, no changes).
% 2.16/2.43
% 2.16/2.43 Term ordering decisions:
% 2.16/2.43 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_P=1. v_Q=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_s_H=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_COMBI=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_Ovname_OGlb=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_Com_Ovname_Ovname__rec=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. 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.
% 2.16/2.43
% 2.16/2.43 ============================== end of process initial clauses ========
% 2.16/2.43
% 2.16/2.43 ============================== CLAUSES FOR SEARCH ====================
% 2.16/2.43
% 2.16/2.43 ============================== end of clauses for search =============
% 2.16/2.43
% 2.16/2.43 ============================== SEARCH ================================
% 2.16/2.43
% 2.16/2.43 % Starting search at 0.16 seconds.
% 2.16/2.43
% 2.16/2.43 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 86 (0.00 of 0.53 sec).
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=149.000, iters=3375
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=112.000, iters=3367
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=102.000, iters=3346
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=94.000, iters=3333
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=68.000, iters=3360
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=66.000, iters=3333
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=61.000, iters=3379
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=60.000, iters=3343
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=56.000, iters=3344
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=54.000, iters=3351
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=53.000, iters=3362
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=49.000, iters=3346
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=48.000, iters=3535
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=47.000, iters=3470
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=45.000, iters=3462
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=44.000, iters=3349
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=43.000, iters=3395
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=42.000, iters=3399
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=41.000, iters=3405
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=40.000, iters=3354
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=39.000, iters=3335
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=38.000, iters=3382
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=37.000, iters=3358
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=36.000, iters=3378
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=35.000, iters=3523
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=34.000, iters=3431
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=33.000, iters=3341
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=32.000, iters=3421
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=31.000, iters=3372
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=30.000, iters=3442
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=29.000, iters=3553
% 2.16/2.43
% 2.16/2.43 Low Water (keep): wt=28.000, iters=3343
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=27.000, iters=3375
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=1631, wt=189.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=2363, wt=185.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=1656, wt=174.000
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=26.000, iters=3532
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=4182, wt=154.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=4006, wt=151.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=1873, wt=138.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=1666, wt=134.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=1633, wt=130.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=10185, wt=60.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=11403, wt=25.000
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=25.000, iters=3358
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=11512, wt=24.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=12060, wt=23.000
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=24.000, iters=3381
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=12396, wt=22.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=12740, wt=21.000
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=23.000, iters=3358
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=13193, wt=18.000
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=13323, wt=17.000
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=22.000, iters=3406
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=21.000, iters=3336
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=16311, wt=15.000
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=20.000, iters=3337
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=19.000, iters=3333
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=18.000, iters=3334
% 119.84/120.10
% 119.84/120.10 Low Water (displace): id=30740, wt=14.000
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=17.000, iters=3335
% 119.84/120.10
% 119.84/120.10 Low Water (keep): wt=16.000, iters=3345
% 119.84/120.10
% 119.84/120.10 ============================== STATISTICS ============================
% 119.84/120.10
% 119.84/120.10 Given=20024. Generated=3745727. Kept=455707. proofs=0.
% 119.84/120.10 Usable=18627. Sos=9995. Demods=1232. Limbo=317, Disabled=427278. Hints=0.
% 119.84/120.10 Kept_by_rule=0, Deleted_by_rule=13.
% 119.84/120.10 Forward_subsumed=813768. Back_subsumed=35.
% 119.84/120.10 Sos_limit_deleted=2476238. Sos_displaced=423451. Sos_removed=0.
% 119.84/120.10 New_demodulators=1904 (3 lex), Back_demodulated=3253. Back_unit_deleted=29.
% 119.84/120.10 Demod_attempts=91294915. Demod_rewrites=716907.
% 119.84/120.10 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 119.84/120.10 Nonunit_fsub_feature_tests=1200651. Nonunit_bsub_feature_tests=9361.
% 119.84/120.10 Megabytes=419.43.
% 119.84/120.10 User_CPU=116.74, System_CPU=2.23, Wall_clock=119.
% 119.84/120.10
% 119.84/120.10 Megs malloced by palloc(): 400.
% 119.84/120.10 type (bytes each) gets frees in use bytes
% 119.84/120.10 chunk ( 104) 13359 13359 0 0.0 K
% 119.84/120.10 string_buf ( 8) 12476 12476 0 0.0 K
% 119.84/120.10 token ( 20) 27611 27611 0 0.0 K
% 119.84/120.10 pterm ( 16) 19716 19716 0 0.0 K
% 119.84/120.10 hashtab ( 8) 0 0 0 0.0 K
% 119.84/120.10 hashnode ( 8) 0 0 0 0.0 K
% 119.84/120.10 term ( 20) 151057413 141398285 9659128 188654.8 K
% 119.84/120.10 term arg arrays: 53166.7 K
% 119.84/120.10 attribute ( 12) 1514 76 1438 16.9 K
% 119.84/120.10 ilist ( 8) 782314246 780256247 2057999 16078.1 K
% 119.84/120.10 plist ( 8) 13082317 12566878 515439 4026.9 K
% 119.84/120.10 i2list ( 12) 30995643 30995643 0 0.0 K
% 119.84/120.10 just ( 12) 4500448 4016304 484144 5673.6 K
% 119.84/120.10 parajust ( 16) 2223578 2043093 180485 2820.1 K
% 119.84/120.10 instancejust ( 8) 0 0 0 0.0 K
% 119.84/120.10 ivyjust ( 24) 0 0 0 0.0 K
% 119.84/120.10 formula ( 28) 1890 1890 0 0.0 K
% 119.84/120.10 formula arg arrays: 0.0 K
% 119.84/120.10 topform ( 52) 3746249 3290019 456230 23167.9 K
% 119.84/120.10 clist_pos ( 20) 1361245 903796 457449 8934.6 K
% 119.84/120.10 clist ( 16) 8 1 7 0.1 K
% 119.84/120.10 context ( 808) 18961665 18961663 2 1.6 K
% 119.84/120.10 trail ( 12) 19465791 19465789 2 0.0 K
% 119.84/120.10 ac_match_pos (70044) 0 0 0 0.0 K
% 119.84/120.10 ac_match_free_vars_pos (20020)
% 119.84/120.10 0 0 0 0.0 K
% 119.84/120.10 btm_state ( 60) 0 0 0 0.0 K
% 119.84/120.10 btu_state ( 60) 0 0 0 0.0 K
% 119.84/120.10 ac_position (285432) 0 0 0 0.0 K
% 119.84/120.10 fpa_trie ( 20) 4232533 3829926 402607 7863.4 K
% 119.84/120.10 fpa_state ( 28) 4444481 4444481 0 0.0 K
% 119.84/120.10 fpa_index ( 12) 10 0 10 0.1 K
% 119.84/120.11 fpa_chunk ( 20) 5669204 5555199 114005 2226.7 K
% 119.84/120.11 fpa_list ( 16) 3888507 0 3888507 60757.9 K
% 119.84/120.11 fpa_list chunks: 7449.4 K
% 119.84/120.11 discrim ( 12) 6495901 6302176 193725 2270.2 K
% 119.84/120.11 discrim_pos ( 16) 2344626 2344626 0 0.0 K
% 119.84/120.11 flat2 ( 32) 60967976 60967976 0 0.0 K
% 119.84/120.11 flat ( 48) 0 0 0 0.0 K
% 119.84/120.11 flatterm ( 32) 149731242 149731196 46 1.4 K
% 119.84/120.11 mindex ( 28) 13 0 13 0.4 K
% 119.84/120.11 mindex_pos ( 56) 9845494 9845494 0 0.0 K
% 119.84/120.11 lindex ( 12) 5 0 5 0.1 K
% 119.84/120.11 clash ( 40) 0 0 0 0.0 K
% 119.84/120.11 di_tree ( 12) 11696494 10195002 1501492 17595.6 K
% 119.84/120.11 avl_node ( 20) 910335 890345 19990 390.4 K
% 119.84/120.11
% 119.84/120.11 Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 119.84/120.11 List 1, length 436, 1.7 K
% 119.84/120.11 List 2, length 387, 3.0 K
% 119.84/120.11 List 3, length 192759, 2258.9 K
% 119.84/120.11 List 4, length 1, 0.0 K
% 119.84/120.11 List 8, length 151, 4.7 K
% 119.84/120.11 List 10, length 2, 0.1 K
% 119.84/120.11 List 11, length 5, 0.2 K
% 119.84/120.11 List 14, length 2, 0.1 K
% 119.84/120.11 List 16, length 874, 54.6 K
% 119.84/120.11 List 26, length 177, 18.0 K
% 119.84/120.11 List 32, length 603, 75.4 K
% 119.84/120.11 List 64, length 93, 23.2 K
% 119.84/120.11 List 128, length 44, 22.0 K
% 119.84/120.11 List 202, length 2, 1.6 K
% 119.84/120.11 List 256, length 113, 113.0 K
% 119.84/120.11
% 119.84/120.11 ============================== SELECTOR REPORT =======================
% 119.84/120.11 Sos_deleted=2476238, Sos_displaced=423451, Sos_size=9995
% 119.84/120.11 SELECTOR PART PRIORITY ORDER SIZE SELECTED
% 119.84/120.11 I 2147483647 high age 0 403
% 119.84/120.11 H 1 high weight 0 0
% 119.84/120.11 A 1 low age 9995 2181
% 119.84/120.11 F 4 low weight 2574 8720
% 119.84/120.11 T 4 low weight 7421 8720
% 119.84/120.11 ============================== end of selector report ================
% 119.84/120.11
% 119.84/120.11 ============================== end of statistics =====================
% 119.84/120.11
% 119.84/120.11 Exiting with failure.
% 119.84/120.11
% 119.84/120.11 Process 29725 exit (max_megs) Thu Jun 16 06:51:54 2022
% 119.84/120.11 Prover9 interrupted
%------------------------------------------------------------------------------