TSTP Solution File: SWV841-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV841-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 21:15:00 EDT 2022
% Result : Unsatisfiable 2.95s 3.21s
% Output : Refutation 2.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV841-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 11:36:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.02/1.34 ============================== Prover9 ===============================
% 1.02/1.34 Prover9 (32) version 2009-11A, November 2009.
% 1.02/1.34 Process 3293 was started by sandbox2 on n023.cluster.edu,
% 1.02/1.34 Wed Jun 15 11:36:51 2022
% 1.02/1.34 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3138_n023.cluster.edu".
% 1.02/1.34 ============================== end of head ===========================
% 1.02/1.34
% 1.02/1.34 ============================== INPUT =================================
% 1.02/1.34
% 1.02/1.34 % Reading from file /tmp/Prover9_3138_n023.cluster.edu
% 1.02/1.34
% 1.02/1.34 set(prolog_style_variables).
% 1.02/1.34 set(auto2).
% 1.02/1.34 % set(auto2) -> set(auto).
% 1.02/1.34 % set(auto) -> set(auto_inference).
% 1.02/1.34 % set(auto) -> set(auto_setup).
% 1.02/1.34 % set(auto_setup) -> set(predicate_elim).
% 1.02/1.34 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.02/1.34 % set(auto) -> set(auto_limits).
% 1.02/1.34 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.02/1.34 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.02/1.34 % set(auto) -> set(auto_denials).
% 1.02/1.34 % set(auto) -> set(auto_process).
% 1.02/1.34 % set(auto2) -> assign(new_constants, 1).
% 1.02/1.34 % set(auto2) -> assign(fold_denial_max, 3).
% 1.02/1.34 % set(auto2) -> assign(max_weight, "200.000").
% 1.02/1.34 % set(auto2) -> assign(max_hours, 1).
% 1.02/1.34 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.02/1.34 % set(auto2) -> assign(max_seconds, 0).
% 1.02/1.34 % set(auto2) -> assign(max_minutes, 5).
% 1.02/1.34 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.02/1.34 % set(auto2) -> set(sort_initial_sos).
% 1.02/1.34 % set(auto2) -> assign(sos_limit, -1).
% 1.02/1.34 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.02/1.34 % set(auto2) -> assign(max_megs, 400).
% 1.02/1.34 % set(auto2) -> assign(stats, some).
% 1.02/1.34 % set(auto2) -> clear(echo_input).
% 1.02/1.34 % set(auto2) -> set(quiet).
% 1.02/1.34 % set(auto2) -> clear(print_initial_clauses).
% 1.02/1.34 % set(auto2) -> clear(print_given).
% 1.02/1.34 assign(lrs_ticks,-1).
% 1.02/1.34 assign(sos_limit,10000).
% 1.02/1.34 assign(order,kbo).
% 1.02/1.34 set(lex_order_vars).
% 1.02/1.34 clear(print_given).
% 1.02/1.34
% 1.02/1.34 % formulas(sos). % not echoed (527 formulas)
% 1.02/1.34
% 1.02/1.34 ============================== end of input ==========================
% 1.02/1.34
% 1.02/1.34 % From the command line: assign(max_seconds, 300).
% 1.02/1.34
% 1.02/1.34 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.02/1.34
% 1.02/1.34 % Formulas that are not ordinary clauses:
% 1.02/1.34
% 1.02/1.34 ============================== end of process non-clausal formulas ===
% 1.02/1.34
% 1.02/1.34 ============================== PROCESS INITIAL CLAUSES ===============
% 1.02/1.34
% 1.02/1.34 ============================== PREDICATE ELIMINATION =================
% 1.02/1.34 1 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 1.02/1.34 2 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -hBOOL(c_in(C,D,A)) | -c_lessequals(B,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),D,A),A) | D = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_Finite__Set_Ofinite(D,A) # label(cls_below__fold1__iff_0) # label(axiom). [assumption].
% 1.02/1.34 3 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) = B | -c_lessequals(B,C,A) # label(cls_le__iff__inf_0) # label(axiom). [assumption].
% 1.02/1.34 4 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) != B | c_lessequals(B,C,A) # label(cls_le__iff__inf_1) # label(axiom). [assumption].
% 1.02/1.34 5 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) = C | -c_lessequals(C,B,A) # label(cls_inf__absorb2_0) # label(axiom). [assumption].
% 1.02/1.34 6 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B) # label(cls_inf__commute_0) # label(axiom). [assumption].
% 1.02/1.34 7 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)) # label(cls_inf__left__commute_0) # label(axiom). [assumption].
% 1.02/1.34 8 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)) # label(cls_inf__assoc_0) # label(axiom). [assumption].
% 1.02/1.34 9 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),B,A),C,A) | -hBOOL(c_in(C,B,A)) | -c_Finite__Set_Ofinite(B,A) # label(cls_fold1__belowI_0) # label(axiom). [assumption].
% 1.02/1.34 10 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) # label(cls_le__infE_0) # label(axiom). [assumption].
% 1.02/1.34 11 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A) # label(cls_le__infE_1) # label(axiom). [assumption].
% 1.02/1.34 12 -class_Lattices_Olower__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A) | -c_lessequals(B,D,A) # label(cls_le__infI1_0) # label(axiom). [assumption].
% 1.02/1.34 13 -class_Lattices_Olower__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A) | -c_lessequals(C,D,A) # label(cls_le__infI2_0) # label(axiom). [assumption].
% 1.02/1.34 14 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) # label(cls_le__inf__iff_0) # label(axiom). [assumption].
% 1.02/1.34 15 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A) # label(cls_le__inf__iff_1) # label(axiom). [assumption].
% 1.02/1.34 16 -class_Lattices_Olower__semilattice(A) | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(A),A,A) # label(cls_fun__left__comm__idem__inf_0) # label(axiom). [assumption].
% 1.02/1.34 17 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_inf__greatest_0) # label(axiom). [assumption].
% 1.02/1.34 18 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__inf__iff_2) # label(axiom). [assumption].
% 1.02/1.34 19 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__infI_0) # label(axiom). [assumption].
% 1.02/1.34 20 -class_Lattices_Olower__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A) # label(cls_inf__le2_0) # label(axiom). [assumption].
% 1.02/1.34 21 -class_Lattices_Olower__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A) # label(cls_inf__le1_0) # label(axiom). [assumption].
% 1.02/1.34 22 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) # label(cls_inf__left__idem_0) # label(axiom). [assumption].
% 1.02/1.34 23 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B) = B # label(cls_inf__idem_0) # label(axiom). [assumption].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -hBOOL(c_in(C,E,tc_fun(D,A))) | -c_lessequals(B,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,A)),E,tc_fun(D,A)),tc_fun(D,A)) | E = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(D,A),tc_bool)) | -c_Finite__Set_Ofinite(E,tc_fun(D,A)). [resolve(1,a,2,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) = C | -c_lessequals(C,D,tc_fun(B,A)). [resolve(1,a,3,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) != C | c_lessequals(C,D,tc_fun(B,A)). [resolve(1,a,4,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) = D | -c_lessequals(D,C,tc_fun(B,A)). [resolve(1,a,5,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),C). [resolve(1,a,6,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),E)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),E)). [resolve(1,a,7,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)),E) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),E)). [resolve(1,a,8,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C,tc_fun(B,A)),D,tc_fun(B,A)) | -hBOOL(c_in(D,C,tc_fun(B,A))) | -c_Finite__Set_Ofinite(C,tc_fun(B,A)). [resolve(1,a,9,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,A)),C),E),tc_fun(D,A)). [resolve(1,a,10,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,A)),E),C),tc_fun(D,A)). [resolve(1,a,11,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_lessequals(C,E,tc_fun(B,A)). [resolve(1,a,12,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_lessequals(D,E,tc_fun(B,A)). [resolve(1,a,13,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),tc_fun(B,A),tc_fun(B,A)). [resolve(1,a,16,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_lessequals(B,E,tc_fun(C,A)) | -c_lessequals(B,D,tc_fun(C,A)). [resolve(1,a,17,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),D,tc_fun(B,A)). [resolve(1,a,20,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),C,tc_fun(B,A)). [resolve(1,a,21,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D). [resolve(1,a,22,a)].
% 1.02/1.34 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),C) = C. [resolve(1,a,23,a)].
% 1.02/1.34 24 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 1.02/1.34 Derived: c_lessequals(A,B,tc_bool) | -hBOOL(c_in(B,C,tc_bool)) | -c_lessequals(A,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),C,tc_bool),tc_bool) | C = c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)) | -c_Finite__Set_Ofinite(C,tc_bool). [resolve(24,a,2,a)].
% 1.02/1.34 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = A | -c_lessequals(A,B,tc_bool). [resolve(24,a,3,a)].
% 1.02/1.34 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) != A | c_lessequals(A,B,tc_bool). [resolve(24,a,4,a)].
% 1.02/1.34 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = B | -c_lessequals(B,A,tc_bool). [resolve(24,a,5,a)].
% 1.02/1.34 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),A). [resolve(24,a,6,a)].
% 1.02/1.37 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),C)). [resolve(24,a,7,a)].
% 1.02/1.37 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C)). [resolve(24,a,8,a)].
% 1.02/1.37 Derived: c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A,tc_bool),B,tc_bool) | -hBOOL(c_in(B,A,tc_bool)) | -c_Finite__Set_Ofinite(A,tc_bool). [resolve(24,a,9,a)].
% 1.02/1.37 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C),tc_bool). [resolve(24,a,10,a)].
% 1.02/1.37 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),C),B),tc_bool). [resolve(24,a,11,a)].
% 1.02/1.37 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(24,a,12,a)].
% 1.02/1.37 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),C,tc_bool) | -c_lessequals(B,C,tc_bool). [resolve(24,a,13,a)].
% 1.02/1.37 Derived: c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),tc_bool,tc_bool). [resolve(24,a,16,a)].
% 1.02/1.37 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C),tc_bool) | -c_lessequals(A,C,tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(24,a,17,a)].
% 1.02/1.37 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),B,tc_bool). [resolve(24,a,20,a)].
% 1.02/1.37 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),A,tc_bool). [resolve(24,a,21,a)].
% 1.02/1.37 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B). [resolve(24,a,22,a)].
% 1.02/1.37 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),A) = A. [resolve(24,a,23,a)].
% 1.02/1.37 25 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.02/1.37 26 -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].
% 1.02/1.37 27 -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].
% 1.02/1.37 28 -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].
% 1.02/1.37 29 -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].
% 1.02/1.37 30 -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].
% 1.02/1.37 31 -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].
% 1.02/1.37 32 -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].
% 1.02/1.37 33 -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].
% 1.02/1.37 34 -class_Lattices_Oupper__semilattice(A) | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(A),A,A) # label(cls_fun__left__comm__idem__sup_0) # label(axiom). [assumption].
% 1.02/1.37 35 -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].
% 1.02/1.37 36 -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].
% 1.02/1.37 37 -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].
% 1.02/1.37 38 -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].
% 1.02/1.37 39 -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].
% 1.02/1.37 40 -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].
% 1.02/1.37 41 -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].
% 1.02/1.37 42 -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].
% 1.02/1.37 43 -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].
% 1.02/1.37 44 -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].
% 1.02/1.37 45 -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].
% 1.02/1.37 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),C) = C. [resolve(25,a,26,a)].
% 1.02/1.37 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(25,a,27,a)].
% 1.02/1.37 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(25,a,28,a)].
% 1.02/1.37 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(25,a,29,a)].
% 1.02/1.37 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(25,a,30,a)].
% 1.02/1.37 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(25,a,31,a)].
% 1.02/1.37 Derived: -class_Lattices_Olattice(A) | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),tc_fun(B,A),tc_fun(B,A)). [resolve(25,a,34,a)].
% 1.02/1.37 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(25,a,35,a)].
% 1.02/1.37 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(25,a,36,a)].
% 1.02/1.37 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(25,a,37,a)].
% 1.02/1.37 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(25,a,38,a)].
% 1.02/1.37 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(25,a,39,a)].
% 1.02/1.37 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(25,a,40,a)].
% 1.02/1.37 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(25,a,41,a)].
% 1.02/1.37 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(25,a,42,a)].
% 1.02/1.37 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(25,a,43,a)].
% 1.02/1.37 46 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.02/1.37 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),A) = A. [resolve(46,a,26,a)].
% 1.02/1.37 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(46,a,27,a)].
% 1.02/1.37 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(46,a,28,a)].
% 1.02/1.37 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(46,a,29,a)].
% 1.02/1.37 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B),tc_bool). [resolve(46,a,30,a)].
% 1.02/1.37 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),A),tc_bool). [resolve(46,a,31,a)].
% 1.02/1.37 Derived: c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),tc_bool,tc_bool). [resolve(46,a,34,a)].
% 1.02/1.37 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = A | -c_lessequals(B,A,tc_bool). [resolve(46,a,35,a)].
% 1.02/1.37 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) != B | c_lessequals(A,B,tc_bool). [resolve(46,a,36,a)].
% 1.02/1.37 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = B | -c_lessequals(A,B,tc_bool). [resolve(46,a,37,a)].
% 1.02/1.37 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(46,a,38,a)].
% 1.96/2.27 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(46,a,39,a)].
% 1.96/2.27 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(46,a,40,a)].
% 1.96/2.27 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(46,a,41,a)].
% 1.96/2.27 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(46,a,42,a)].
% 1.96/2.27 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(46,a,43,a)].
% 1.96/2.27
% 1.96/2.27 ============================== end predicate elimination =============
% 1.96/2.27
% 1.96/2.27 Auto_denials: (non-Horn, no changes).
% 1.96/2.27
% 1.96/2.27 Term ordering decisions:
% 1.96/2.27 Function symbol KB weights: tc_bool=1. t_a=1. v_x=1. c_Com_Ocom_OSKIP=1. v_G=1. v_t=1. v_ts=1. hAPP=1. tc_fun=1. c_Collect=1. c_Complete__Lattice_OSup__class_OSup=1. c_Com_Ocom_OSemi=1. c_Complete__Lattice_OInf__class_OInf=1. c_fequal=1. c_The=1. c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1=1. c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2=1. c_Nitpick_Osko__Nitpick__XEx1__def__1__2=1. c_Nitpick_Osko__Nitpick__XEx1__def__1__3=1. c_SetInterval_Oord__class_OlessThan=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. c_Set_Ocontents=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Set_Oinsert=1. c_Orderings_Obot__class_Obot=1. tc_Hoare__Mirabelle_Otriple=1. c_in=1. c_HOL_Ominus__class_Ominus=1. c_Set_Oimage=1. c_Set_Ovimage=1. c_SetInterval_Oord__class_OatLeastAtMost=1. c_COMBK=1. c_Finite__Set_Ofold1=1. c_Finite__Set_Ofold1Set=1. c_Nitpick_Osko__Nitpick__XEx1__def__1__1=1. c_Complete__Lattice_Ocomplete__lattice__class_OSUPR=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_SetInterval_Oord_OatLeastAtMost=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__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__Xescape__1=1. v_sko__Hoare__Mirabelle__Xescape__2=1. c_COMBB=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3=1.
% 1.96/2.27
% 1.96/2.27 ============================== end of process initial clauses ========
% 1.96/2.27
% 1.96/2.27 ============================== CLAUSES FOR SEARCH ====================
% 1.96/2.27
% 1.96/2.27 ============================== end of clauses for search =============
% 1.96/2.27
% 1.96/2.27 ============================== SEARCH ================================
% 1.96/2.27
% 1.96/2.27 % Starting search at 0.20 seconds.
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=61.000, iters=3517
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=58.000, iters=3440
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=57.000, iters=3602
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=53.000, iters=3485
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=51.000, iters=3396
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=50.000, iters=3456
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=49.000, iters=3397
% 1.96/2.27
% 1.96/2.27 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 90 (0.00 of 0.79 sec).
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=48.000, iters=3382
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=47.000, iters=3344
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=45.000, iters=3334
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=44.000, iters=3470
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=43.000, iters=3494
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=42.000, iters=3477
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=41.000, iters=3398
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=40.000, iters=3403
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=39.000, iters=3360
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=38.000, iters=3351
% 1.96/2.27
% 1.96/2.27 Low Water (keep): wt=37.000, iters=3354
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=36.000, iters=3355
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=35.000, iters=3354
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=34.000, iters=3346
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=33.000, iters=3470
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=32.000, iters=3535
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=31.000, iters=3414
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=30.000, iters=3474
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=29.000, iters=3343
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=27.000, iters=3531
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=26.000, iters=3696
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=25.000, iters=3520
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=24.000, iters=3339
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=23.000, iters=3334
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=22.000, iters=3339
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=21.000, iters=3351
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=10089, wt=74.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=11025, wt=73.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=11534, wt=72.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=8700, wt=71.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=10097, wt=67.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=9870, wt=62.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=11724, wt=60.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=11760, wt=58.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=5310, wt=57.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=11003, wt=55.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=7989, wt=54.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=11720, wt=53.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=12383, wt=20.000
% 2.95/3.21
% 2.95/3.21 Low Water (keep): wt=20.000, iters=3360
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=13348, wt=19.000
% 2.95/3.21
% 2.95/3.21 Low Water (displace): id=14479, wt=18.000
% 2.95/3.21
% 2.95/3.21 ============================== PROOF =================================
% 2.95/3.21 % SZS status Unsatisfiable
% 2.95/3.21 % SZS output start Refutation
% 2.95/3.21
% 2.95/3.21 % Proof 1 at 1.91 (+ 0.04) seconds.
% 2.95/3.21 % Length of proof is 22.
% 2.95/3.21 % Level of proof is 6.
% 2.95/3.21 % Maximum clause weight is 22.000.
% 2.95/3.21 % Given clauses 1574.
% 2.95/3.21
% 2.95/3.21 73 hBOOL(c_in(A,B,C)) | -hBOOL(hAPP(B,A)) # label(cls_mem__def_1) # label(axiom). [assumption].
% 2.95/3.21 128 c_Collect(A,B) = A # label(cls_Collect__def_0) # label(axiom). [assumption].
% 2.95/3.21 263 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)) # label(cls_empty__subsetI_0) # label(axiom). [assumption].
% 2.95/3.21 296 c_lessequals(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool)) | -c_lessequals(C,D,tc_fun(A,tc_bool)) | -hBOOL(c_in(B,D,A)) # label(cls_insert__subset_2) # label(axiom). [assumption].
% 2.95/3.21 374 c_lessequals(A,hAPP(hAPP(c_Set_Oinsert(B),C),A),tc_fun(B,tc_bool)) # label(cls_subset__insertI_0) # label(axiom). [assumption].
% 2.95/3.21 387 c_Hoare__Mirabelle_Ohoare__derivs(A,B,C) | -c_lessequals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)) # label(cls_asm_0) # label(axiom). [assumption].
% 2.95/3.21 406 c_Collect(c_fequal(A,B),B) = hAPP(hAPP(c_Set_Oinsert(B),A),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))) # label(cls_singleton__conv2_0) # label(axiom). [assumption].
% 2.95/3.21 407 hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))) = c_fequal(B,A). [copy(406),rewrite([128(2)]),flip(a)].
% 2.95/3.21 446 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(A),B),C),B)) # label(cls_insert__code_1) # label(axiom). [assumption].
% 2.95/3.21 447 c_Hoare__Mirabelle_Ohoare__derivs(A,B,C) | -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C) | -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C) # label(cls_cut_0) # label(axiom). [assumption].
% 2.95/3.21 468 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 2.95/3.21 469 -c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) | -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 2.95/3.21 470 -c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) | -c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a). [copy(469),rewrite([407(16)])].
% 2.95/3.21 1614 c_lessequals(c_fequal(A,B),C,tc_fun(B,tc_bool)) | -hBOOL(c_in(A,C,B)). [resolve(296,b,263,a),rewrite([407(6)])].
% 2.95/3.21 2719 c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(A)),B),C),C,A). [resolve(387,b,374,a)].
% 2.95/3.21 2913 hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),D)). [resolve(446,a,73,b)].
% 2.95/3.21 3074 c_Hoare__Mirabelle_Ohoare__derivs(v_G,A,t_a) | -c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),A,t_a). [resolve(468,a,447,b)].
% 2.95/3.21 11421 c_lessequals(c_fequal(A,B),hAPP(hAPP(c_Set_Oinsert(C),A),D),tc_fun(B,tc_bool)). [resolve(1614,b,2913,a)].
% 2.95/3.21 13951 c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(A),B),C),c_fequal(B,tc_Hoare__Mirabelle_Otriple(D)),D). [resolve(11421,a,387,b)].
% 2.95/3.21 14924 c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a). [resolve(3074,b,13951,a)].
% 2.95/3.21 14930 c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a). [resolve(3074,b,2719,a)].
% 2.95/3.21 14931 $F. [back_unit_del(470),unit_del(a,14930),unit_del(b,14924)].
% 2.95/3.21
% 2.95/3.21 % SZS output end Refutation
% 2.95/3.21 ============================== end of proof ==========================
% 2.95/3.21
% 2.95/3.21 ============================== STATISTICS ============================
% 2.95/3.21
% 2.95/3.21 Given=1574. Generated=45370. Kept=14792. proofs=1.
% 2.95/3.21 Usable=1489. Sos=9999. Demods=666. Limbo=7, Disabled=3892. Hints=0.
% 2.95/3.21 Megabytes=27.44.
% 2.95/3.21 User_CPU=1.91, System_CPU=0.04, Wall_clock=2.
% 2.95/3.21
% 2.95/3.21 ============================== end of statistics =====================
% 2.95/3.21
% 2.95/3.21 ============================== end of search =========================
% 2.95/3.21
% 2.95/3.21 THEOREM PROVED
% 2.95/3.21 % SZS status Unsatisfiable
% 2.95/3.21
% 2.95/3.21 Exiting with 1 proof.
% 2.95/3.21
% 2.95/3.21 Process 3293 exit (max_proofs) Wed Jun 15 11:36:53 2022
% 2.95/3.21 Prover9 interrupted
%------------------------------------------------------------------------------