TSTP Solution File: LCL766-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL766-1 : 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 : Sun Jul 17 13:49:58 EDT 2022
% Result : Unknown 68.70s 69.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL766-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % 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 : Mon Jul 4 04:12:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.91/1.21 ============================== Prover9 ===============================
% 0.91/1.21 Prover9 (32) version 2009-11A, November 2009.
% 0.91/1.21 Process 19947 was started by sandbox on n011.cluster.edu,
% 0.91/1.21 Mon Jul 4 04:12:52 2022
% 0.91/1.21 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19794_n011.cluster.edu".
% 0.91/1.21 ============================== end of head ===========================
% 0.91/1.21
% 0.91/1.21 ============================== INPUT =================================
% 0.91/1.21
% 0.91/1.21 % Reading from file /tmp/Prover9_19794_n011.cluster.edu
% 0.91/1.21
% 0.91/1.21 set(prolog_style_variables).
% 0.91/1.21 set(auto2).
% 0.91/1.21 % set(auto2) -> set(auto).
% 0.91/1.21 % set(auto) -> set(auto_inference).
% 0.91/1.21 % set(auto) -> set(auto_setup).
% 0.91/1.21 % set(auto_setup) -> set(predicate_elim).
% 0.91/1.21 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.91/1.21 % set(auto) -> set(auto_limits).
% 0.91/1.21 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.91/1.21 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.91/1.21 % set(auto) -> set(auto_denials).
% 0.91/1.21 % set(auto) -> set(auto_process).
% 0.91/1.21 % set(auto2) -> assign(new_constants, 1).
% 0.91/1.21 % set(auto2) -> assign(fold_denial_max, 3).
% 0.91/1.21 % set(auto2) -> assign(max_weight, "200.000").
% 0.91/1.21 % set(auto2) -> assign(max_hours, 1).
% 0.91/1.21 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.91/1.21 % set(auto2) -> assign(max_seconds, 0).
% 0.91/1.21 % set(auto2) -> assign(max_minutes, 5).
% 0.91/1.21 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.91/1.21 % set(auto2) -> set(sort_initial_sos).
% 0.91/1.21 % set(auto2) -> assign(sos_limit, -1).
% 0.91/1.21 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.91/1.21 % set(auto2) -> assign(max_megs, 400).
% 0.91/1.21 % set(auto2) -> assign(stats, some).
% 0.91/1.21 % set(auto2) -> clear(echo_input).
% 0.91/1.21 % set(auto2) -> set(quiet).
% 0.91/1.21 % set(auto2) -> clear(print_initial_clauses).
% 0.91/1.21 % set(auto2) -> clear(print_given).
% 0.91/1.21 assign(lrs_ticks,-1).
% 0.91/1.21 assign(sos_limit,10000).
% 0.91/1.21 assign(order,kbo).
% 0.91/1.21 set(lex_order_vars).
% 0.91/1.21 clear(print_given).
% 0.91/1.21
% 0.91/1.21 % formulas(sos). % not echoed (578 formulas)
% 0.91/1.21
% 0.91/1.21 ============================== end of input ==========================
% 0.91/1.21
% 0.91/1.21 % From the command line: assign(max_seconds, 300).
% 0.91/1.21
% 0.91/1.21 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.91/1.21
% 0.91/1.21 % Formulas that are not ordinary clauses:
% 0.91/1.21
% 0.91/1.21 ============================== end of process non-clausal formulas ===
% 0.91/1.21
% 0.91/1.21 ============================== PROCESS INITIAL CLAUSES ===============
% 0.91/1.21
% 0.91/1.21 ============================== PREDICATE ELIMINATION =================
% 0.91/1.21 1 class_OrderedGroup_Ocomm__monoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocomm__monoid__add) # label(axiom). [assumption].
% 0.91/1.21 2 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(A),c_Set_Oinsert(B,C,A),A) = hAPP(hAPP(c_Finite__Set_Ofold(c_HOL_Oplus__class_Oplus(A),A,A),B),C) | hBOOL(c_in(B,C,A)) | -c_Finite__Set_Ofinite(C,A) # label(cls_comm__monoid__add_Ofold1__eq__fold_0) # label(axiom). [assumption].
% 0.91/1.21 3 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),B,A,C),D),c_Set_Oinsert(E,F,C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(B,E)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),B,A,C),D),F)) | hBOOL(c_in(E,F,C)) | -c_Finite__Set_Ofinite(F,C) # label(cls_comm__monoid__add_Ofold__image__insert_0) # label(axiom). [assumption].
% 0.91/1.21 4 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(A),c_Set_Oinsert(B,C,A),A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(A),C,A)) | hBOOL(c_in(B,C,A)) | -c_Finite__Set_Ofinite(C,A) | C = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) # label(cls_comm__monoid__add_Ofold1__insert_0) # label(axiom). [assumption].
% 0.91/1.21 5 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(B,c_Set_Oinsert(C,D,E),E,A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(B,C)),c_Finite__Set_Osetsum(B,D,E,A)) | hBOOL(c_in(C,D,E)) | -c_Finite__Set_Ofinite(D,E) # label(cls_setsum__insert_0) # label(axiom). [assumption].
% 0.91/1.21 6 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E),C,A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Finite__Set_Osetsum(B,D,C,A)),c_Finite__Set_Osetsum(B,E,C,A)) | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xsetsum__Un__zero__1__1(D,E,B,C,A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E),C)) | -c_Finite__Set_Ofinite(E,C) | -c_Finite__Set_Ofinite(D,C) # label(cls_setsum__Un__zero_0) # label(axiom). [assumption].
% 0.91/1.21 7 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(B,C,D,A) = hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),B,A,D),c_HOL_Ozero__class_Ozero(A)),C) | -c_Finite__Set_Ofinite(C,D) # label(cls_setsum__def_0) # label(axiom). [assumption].
% 0.91/1.21 8 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),c_COMBS(hAPP(c_COMBB(c_HOL_Oplus__class_Oplus(A),A,tc_fun(A,A),B),C),D,B,A,A),A,B),c_HOL_Ozero__class_Ozero(A)),E) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),C,A,B),c_HOL_Ozero__class_Ozero(A)),E)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),D,A,B),c_HOL_Ozero__class_Ozero(A)),E)) | -c_Finite__Set_Ofinite(E,B) # label(cls_comm__monoid__add_Ofold__image__distrib_0) # label(axiom). [assumption].
% 0.91/1.21 9 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(B,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__Un__zero__1__1(C,D,B,E,A)) != c_HOL_Ozero__class_Ozero(A) | -c_Finite__Set_Ofinite(D,E) | -c_Finite__Set_Ofinite(C,E) | c_Finite__Set_Osetsum(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),C),D),E,A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Finite__Set_Osetsum(B,C,E,A)),c_Finite__Set_Osetsum(B,D,E,A)) # label(cls_setsum__Un__zero_1) # label(axiom). [assumption].
% 0.91/1.21 10 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),B,A,C),c_HOL_Ozero__class_Ozero(A)),D)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),B,A,C),c_HOL_Ozero__class_Ozero(A)),E)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),B,A,C),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E))),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),B,A,C),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E))) | -c_Finite__Set_Ofinite(E,C) | -c_Finite__Set_Ofinite(D,C) # label(cls_comm__monoid__add_Ofold__image__Un__Int_0) # label(axiom). [assumption].
% 0.91/1.21 11 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C) != c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | C = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_Finite__Set_Ofinite(C,A) | B = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_Finite__Set_Ofinite(B,A) | c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(A),B,A)),c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(A),C,A)) # label(cls_comm__monoid__add_Ofold1__Un_0) # label(axiom). [assumption].
% 0.91/1.21 12 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D) != c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)) | -c_Finite__Set_Ofinite(D,B) | -c_Finite__Set_Ofinite(C,B) | hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),E,A,B),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),E,A,B),c_HOL_Ozero__class_Ozero(A)),C)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(A),E,A,B),c_HOL_Ozero__class_Ozero(A)),D)) # label(cls_comm__monoid__add_Ofold__Un__disjoint_0) # label(axiom). [assumption].
% 0.91/1.21 13 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Finite__Set_Osetsum(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E),C,A)),c_Finite__Set_Osetsum(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E),C,A)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Finite__Set_Osetsum(B,D,C,A)),c_Finite__Set_Osetsum(B,E,C,A)) | -c_Finite__Set_Ofinite(E,C) | -c_Finite__Set_Ofinite(D,C) # label(cls_setsum__Un__Int_0) # label(axiom). [assumption].
% 0.91/1.21 14 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B) # label(cls_comm__monoid__add_Omult__commute_0) # label(axiom). [assumption].
% 0.91/1.21 15 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D) != c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)) | -c_Finite__Set_Ofinite(D,B) | -c_Finite__Set_Ofinite(C,B) | c_Finite__Set_Osetsum(E,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Finite__Set_Osetsum(E,C,B,A)),c_Finite__Set_Osetsum(E,D,B,A)) # label(cls_setsum__Un__disjoint_0) # label(axiom). [assumption].
% 0.91/1.21 16 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) # label(cls_comm__monoid__add_Omult__assoc_0) # label(axiom). [assumption].
% 0.91/1.21 17 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)) # label(cls_comm__monoid__add_Omult__left__commute_0) # label(axiom). [assumption].
% 0.91/1.21 18 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B) = B # label(cls_comm__monoid__add_Omult__1_0) # label(axiom). [assumption].
% 0.91/1.21 19 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A)) = B # label(cls_comm__monoid__add_Omult__1__right_0) # label(axiom). [assumption].
% 0.91/1.21 20 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(B,C,D,A) = c_HOL_Ozero__class_Ozero(A) | c_Finite__Set_Ofinite(C,D) # label(cls_setsum__def_1) # label(axiom). [assumption].
% 0.91/1.21 21 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(B,C,D,A) = c_HOL_Ozero__class_Ozero(A) | c_Finite__Set_Ofinite(C,D) # label(cls_setsum__infinite_0) # label(axiom). [assumption].
% 0.91/1.21 22 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_setsum__empty_0) # label(axiom). [assumption].
% 0.91/1.21 23 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(c_COMBS(hAPP(c_COMBB(c_HOL_Oplus__class_Oplus(A),A,tc_fun(A,A),B),C),D,B,A,A),E,B,A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Finite__Set_Osetsum(C,E,B,A)),c_Finite__Set_Osetsum(D,E,B,A)) # label(cls_setsum__addf_0) # label(axiom). [assumption].
% 0.91/1.21 Derived: c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(tc_nat),c_Set_Oinsert(A,B,tc_nat),tc_nat) = hAPP(hAPP(c_Finite__Set_Ofold(c_HOL_Oplus__class_Oplus(tc_nat),tc_nat,tc_nat),A),B) | hBOOL(c_in(A,B,tc_nat)) | -c_Finite__Set_Ofinite(B,tc_nat). [resolve(1,a,2,a)].
% 0.91/1.21 Derived: hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),A,tc_nat,B),C),c_Set_Oinsert(D,E,B)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(A,D)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),A,tc_nat,B),C),E)) | hBOOL(c_in(D,E,B)) | -c_Finite__Set_Ofinite(E,B). [resolve(1,a,3,a)].
% 0.91/1.21 Derived: c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(tc_nat),c_Set_Oinsert(A,B,tc_nat),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(tc_nat),B,tc_nat)) | hBOOL(c_in(A,B,tc_nat)) | -c_Finite__Set_Ofinite(B,tc_nat) | B = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)). [resolve(1,a,4,a)].
% 0.91/1.21 Derived: c_Finite__Set_Osetsum(A,c_Set_Oinsert(B,C,D),D,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(A,B)),c_Finite__Set_Osetsum(A,C,D,tc_nat)) | hBOOL(c_in(B,C,D)) | -c_Finite__Set_Ofinite(C,D). [resolve(1,a,5,a)].
% 0.91/1.21 Derived: c_Finite__Set_Osetsum(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Finite__Set_Osetsum(A,C,B,tc_nat)),c_Finite__Set_Osetsum(A,D,B,tc_nat)) | hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xsetsum__Un__zero__1__1(C,D,A,B,tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B)) | -c_Finite__Set_Ofinite(D,B) | -c_Finite__Set_Ofinite(C,B). [resolve(1,a,6,a)].
% 0.91/1.21 Derived: c_Finite__Set_Osetsum(A,B,C,tc_nat) = hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),A,tc_nat,C),c_HOL_Ozero__class_Ozero(tc_nat)),B) | -c_Finite__Set_Ofinite(B,C). [resolve(1,a,7,a)].
% 0.91/1.21 Derived: hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(hAPP(c_COMBB(c_HOL_Oplus__class_Oplus(tc_nat),tc_nat,tc_fun(tc_nat,tc_nat),A),B),C,A,tc_nat,tc_nat),tc_nat,A),c_HOL_Ozero__class_Ozero(tc_nat)),D) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),B,tc_nat,A),c_HOL_Ozero__class_Ozero(tc_nat)),D)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),C,tc_nat,A),c_HOL_Ozero__class_Ozero(tc_nat)),D)) | -c_Finite__Set_Ofinite(D,A). [resolve(1,a,8,a)].
% 0.91/1.21 Derived: hAPP(A,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__Un__zero__1__1(B,C,A,D,tc_nat)) != c_HOL_Ozero__class_Ozero(tc_nat) | -c_Finite__Set_Ofinite(C,D) | -c_Finite__Set_Ofinite(B,D) | c_Finite__Set_Osetsum(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),B),C),D,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Finite__Set_Osetsum(A,B,D,tc_nat)),c_Finite__Set_Osetsum(A,C,D,tc_nat)). [resolve(1,a,9,a)].
% 0.91/1.21 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),A,tc_nat,B),c_HOL_Ozero__class_Ozero(tc_nat)),C)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),A,tc_nat,B),c_HOL_Ozero__class_Ozero(tc_nat)),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),A,tc_nat,B),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D))),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),A,tc_nat,B),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D))) | -c_Finite__Set_Ofinite(D,B) | -c_Finite__Set_Ofinite(C,B). [resolve(1,a,10,a)].
% 0.91/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_nat,tc_bool)),A),B) != c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) | B = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) | -c_Finite__Set_Ofinite(B,tc_nat) | A = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) | -c_Finite__Set_Ofinite(A,tc_nat) | c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_nat,tc_bool)),A),B),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(tc_nat),A,tc_nat)),c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(tc_nat),B,tc_nat)). [resolve(1,a,11,a)].
% 0.91/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C) != c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_Finite__Set_Ofinite(C,A) | -c_Finite__Set_Ofinite(B,A) | hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),D,tc_nat,A),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),D,tc_nat,A),c_HOL_Ozero__class_Ozero(tc_nat)),B)),hAPP(hAPP(c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(tc_nat),D,tc_nat,A),c_HOL_Ozero__class_Ozero(tc_nat)),C)). [resolve(1,a,12,a)].
% 0.91/1.21 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Finite__Set_Osetsum(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,tc_nat)),c_Finite__Set_Osetsum(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Finite__Set_Osetsum(A,C,B,tc_nat)),c_Finite__Set_Osetsum(A,D,B,tc_nat)) | -c_Finite__Set_Ofinite(D,B) | -c_Finite__Set_Ofinite(C,B). [resolve(1,a,13,a)].
% 0.91/1.25 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A). [resolve(1,a,14,a)].
% 0.91/1.25 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C) != c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_Finite__Set_Ofinite(C,A) | -c_Finite__Set_Ofinite(B,A) | c_Finite__Set_Osetsum(D,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Finite__Set_Osetsum(D,B,A,tc_nat)),c_Finite__Set_Osetsum(D,C,A,tc_nat)). [resolve(1,a,15,a)].
% 0.91/1.25 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)). [resolve(1,a,16,a)].
% 0.91/1.25 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)). [resolve(1,a,17,a)].
% 0.91/1.25 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A) = A. [resolve(1,a,18,a)].
% 0.91/1.25 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat)) = A. [resolve(1,a,19,a)].
% 0.91/1.25 Derived: c_Finite__Set_Osetsum(A,B,C,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) | c_Finite__Set_Ofinite(B,C). [resolve(1,a,20,a)].
% 0.91/1.25 Derived: c_Finite__Set_Osetsum(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(1,a,22,a)].
% 0.91/1.25 Derived: c_Finite__Set_Osetsum(c_COMBS(hAPP(c_COMBB(c_HOL_Oplus__class_Oplus(tc_nat),tc_nat,tc_fun(tc_nat,tc_nat),A),B),C,A,tc_nat,tc_nat),D,A,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Finite__Set_Osetsum(B,D,A,tc_nat)),c_Finite__Set_Osetsum(C,D,A,tc_nat)). [resolve(1,a,23,a)].
% 0.91/1.25 24 class_Ring__and__Field_Oordered__semidom(tc_nat) # label(clsarity_nat__Ring__and__Field_Oordered__semidom) # label(axiom). [assumption].
% 0.91/1.25 25 -class_Ring__and__Field_Oordered__semidom(A) | c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A) | -c_HOL_Oord__class_Oless(B,D,A) | -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A) # label(cls_pos__add__strict_0) # label(axiom). [assumption].
% 0.91/1.25 Derived: c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat) | -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat). [resolve(24,a,25,a)].
% 0.91/1.25 26 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add) # label(axiom). [assumption].
% 0.91/1.25 27 -class_OrderedGroup_Opordered__comm__monoid__add(A) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),A) | -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A) | -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A) # label(cls_add__pos__pos_0) # label(axiom). [assumption].
% 0.91/1.25 28 -class_OrderedGroup_Opordered__comm__monoid__add(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),c_HOL_Ozero__class_Ozero(A),A) | -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A) | -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A) # label(cls_add__neg__neg_0) # label(axiom). [assumption].
% 0.91/1.25 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) | -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) | -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat). [resolve(26,a,28,a)].
% 0.91/1.25 29 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.91/1.27 30 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(C,B,A) # label(cls_not__less__iff__gr__or__eq_1) # label(axiom). [assumption].
% 0.91/1.27 31 -class_Orderings_Olinorder(A) | B = C | c_HOL_Oord__class_Oless(B,C,A) | c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__antisym__conv3_0) # label(axiom). [assumption].
% 0.91/1.27 32 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | C = B | c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__less__linear_0) # label(axiom). [assumption].
% 0.91/1.27 33 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | c_HOL_Oord__class_Oless(C,B,A) | C = B # label(cls_linorder__neqE_0) # label(axiom). [assumption].
% 0.91/1.27 34 -class_Orderings_Olinorder(A) | B = C | c_HOL_Oord__class_Oless(C,B,A) | c_HOL_Oord__class_Oless(B,C,A) # label(cls_not__less__iff__gr__or__eq_0) # label(axiom). [assumption].
% 0.91/1.27 35 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,B,A) # label(cls_linorder__neq__iff_1) # label(axiom). [assumption].
% 0.91/1.27 Derived: -c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(B,A,tc_nat). [resolve(29,a,30,a)].
% 0.91/1.27 Derived: A = B | c_HOL_Oord__class_Oless(A,B,tc_nat) | c_HOL_Oord__class_Oless(B,A,tc_nat). [resolve(29,a,31,a)].
% 0.91/1.27 36 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) # label(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) # label(axiom). [assumption].
% 0.91/1.27 37 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A) # label(cls_add__less__cancel__left_0) # label(axiom). [assumption].
% 0.91/1.27 38 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A) | -c_HOL_Oord__class_Oless(C,D,A) # label(cls_add__less__cancel__left_1) # label(axiom). [assumption].
% 0.91/1.27 39 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A) # label(cls_add__less__cancel__right_0) # label(axiom). [assumption].
% 0.91/1.27 40 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_add__less__cancel__right_1) # label(axiom). [assumption].
% 0.91/1.27 Derived: c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B),tc_nat). [resolve(36,a,37,a)].
% 0.91/1.27 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),tc_nat) | -c_HOL_Oord__class_Oless(B,C,tc_nat). [resolve(36,a,38,a)].
% 0.91/1.27 Derived: c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat). [resolve(36,a,39,a)].
% 0.91/1.27 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B),tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat). [resolve(36,a,40,a)].
% 0.91/1.27 41 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add) # label(axiom). [assumption].
% 0.91/1.27 42 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A) | -c_HOL_Oord__class_Oless(C,D,A) # label(cls_add__strict__left__mono_0) # label(axiom). [assumption].
% 0.91/1.27 43 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_add__strict__right__mono_0) # label(axiom). [assumption].
% 0.91/1.27 44 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E),A) | -c_HOL_Oord__class_Oless(C,E,A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_add__strict__mono_0) # label(axiom). [assumption].
% 0.91/1.27 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D),tc_nat) | -c_HOL_Oord__class_Oless(B,D,tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat). [resolve(41,a,44,a)].
% 0.91/1.27 45 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.91/1.27 46 -class_Lattices_Olower__semilattice(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_less__infI1_0) # label(axiom). [assumption].
% 0.91/1.27 47 -class_Lattices_Olower__semilattice(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A) | -c_HOL_Oord__class_Oless(C,D,A) # label(cls_less__infI2_0) # label(axiom). [assumption].
% 0.91/1.27 48 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),A,A),B),c_Set_Oinsert(C,D,A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),A,A),B),D)) | -c_Finite__Set_Ofinite(D,A) # label(cls_fold__inf__insert_0) # label(axiom). [assumption].
% 0.91/1.27 49 -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].
% 0.91/1.27 50 -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].
% 0.91/1.27 51 -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].
% 0.91/1.27 52 -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].
% 0.91/1.27 53 -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].
% 0.91/1.27 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_HOL_Oord__class_Oless(C,E,tc_fun(B,A)). [resolve(45,a,46,a)].
% 0.91/1.27 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_HOL_Oord__class_Oless(D,E,tc_fun(B,A)). [resolve(45,a,47,a)].
% 0.91/1.27 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),tc_fun(B,A),tc_fun(B,A)),C),c_Set_Oinsert(D,E,tc_fun(B,A))) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),tc_fun(B,A),tc_fun(B,A)),C),E)) | -c_Finite__Set_Ofinite(E,tc_fun(B,A)). [resolve(45,a,48,a)].
% 0.91/1.27 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(45,a,49,a)].
% 0.91/1.27 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(45,a,50,a)].
% 0.91/1.27 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(45,a,51,a)].
% 0.91/1.27 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(45,a,52,a)].
% 0.91/1.27 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),C) = C. [resolve(45,a,53,a)].
% 0.91/1.27 54 class_Lattices_Olower__semilattice(tc_nat) # label(clsarity_nat__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.91/1.27 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B),C,tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat). [resolve(54,a,46,a)].
% 0.91/1.27 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B),C,tc_nat) | -c_HOL_Oord__class_Oless(B,C,tc_nat). [resolve(54,a,47,a)].
% 0.91/1.27 Derived: hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),tc_nat,tc_nat),A),c_Set_Oinsert(B,C,tc_nat)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),tc_nat,tc_nat),A),C)) | -c_Finite__Set_Ofinite(C,tc_nat). [resolve(54,a,48,a)].
% 0.91/1.27 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),A). [resolve(54,a,49,a)].
% 0.91/1.27 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),C)). [resolve(54,a,50,a)].
% 0.91/1.27 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B)),C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),C)). [resolve(54,a,51,a)].
% 0.91/1.27 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B). [resolve(54,a,52,a)].
% 0.91/1.27 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),A) = A. [resolve(54,a,53,a)].
% 0.91/1.27 55 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.91/1.27 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),C,tc_bool) | -c_HOL_Oord__class_Oless(A,C,tc_bool). [resolve(55,a,46,a)].
% 0.91/1.27 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),C,tc_bool) | -c_HOL_Oord__class_Oless(B,C,tc_bool). [resolve(55,a,47,a)].
% 0.91/1.27 Derived: hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),tc_bool,tc_bool),A),c_Set_Oinsert(B,C,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),tc_bool,tc_bool),A),C)) | -c_Finite__Set_Ofinite(C,tc_bool). [resolve(55,a,48,a)].
% 0.91/1.27 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(55,a,49,a)].
% 0.91/1.30 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(55,a,50,a)].
% 0.91/1.30 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(55,a,51,a)].
% 0.91/1.30 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(55,a,52,a)].
% 0.91/1.30 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),A) = A. [resolve(55,a,53,a)].
% 0.91/1.30 56 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.91/1.30 57 -class_Lattices_Oupper__semilattice(A) | c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_HOL_Oord__class_Oless(B,C,A) # label(cls_less__supI1_0) # label(axiom). [assumption].
% 0.91/1.30 58 -class_Lattices_Oupper__semilattice(A) | c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_less__supI2_0) # label(axiom). [assumption].
% 0.91/1.30 59 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),A,A),B),c_Set_Oinsert(C,D,A)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),A,A),B),D)) | -c_Finite__Set_Ofinite(D,A) # label(cls_fold__sup__insert_0) # label(axiom). [assumption].
% 0.91/1.30 60 -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].
% 0.91/1.30 61 -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].
% 0.91/1.30 62 -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].
% 0.91/1.30 63 -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].
% 0.91/1.30 64 -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].
% 0.91/1.30 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_HOL_Oord__class_Oless(B,D,tc_fun(C,A)). [resolve(56,a,57,a)].
% 0.91/1.30 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_HOL_Oord__class_Oless(B,E,tc_fun(C,A)). [resolve(56,a,58,a)].
% 0.91/1.30 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),tc_fun(B,A),tc_fun(B,A)),C),c_Set_Oinsert(D,E,tc_fun(B,A))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),tc_fun(B,A),tc_fun(B,A)),C),E)) | -c_Finite__Set_Ofinite(E,tc_fun(B,A)). [resolve(56,a,59,a)].
% 0.91/1.30 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),C) = C. [resolve(56,a,60,a)].
% 0.91/1.30 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(56,a,61,a)].
% 0.91/1.30 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(56,a,62,a)].
% 0.91/1.30 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(56,a,63,a)].
% 0.91/1.30 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(56,a,64,a)].
% 0.91/1.30 65 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.91/1.30 Derived: c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C),tc_nat) | -c_HOL_Oord__class_Oless(A,B,tc_nat). [resolve(65,a,57,a)].
% 0.91/1.30 Derived: c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C),tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat). [resolve(65,a,58,a)].
% 0.91/1.30 Derived: hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat,tc_nat),A),c_Set_Oinsert(B,C,tc_nat)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat,tc_nat),A),C)) | -c_Finite__Set_Ofinite(C,tc_nat). [resolve(65,a,59,a)].
% 0.91/1.30 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),A) = A. [resolve(65,a,60,a)].
% 0.91/1.30 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(65,a,61,a)].
% 0.91/1.30 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(65,a,62,a)].
% 0.91/1.30 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(65,a,63,a)].
% 0.91/1.30 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(65,a,64,a)].
% 0.91/1.30 66 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.91/1.30 Derived: c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C),tc_bool) | -c_HOL_Oord__class_Oless(A,B,tc_bool). [resolve(66,a,57,a)].
% 0.91/1.30 Derived: c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C),tc_bool) | -c_HOL_Oord__class_Oless(A,C,tc_bool). [resolve(66,a,58,a)].
% 0.91/1.30 Derived: hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),tc_bool,tc_bool),A),c_Set_Oinsert(B,C,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),tc_bool,tc_bool),A),C)) | -c_Finite__Set_Ofinite(C,tc_bool). [resolve(66,a,59,a)].
% 0.91/1.31 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),A) = A. [resolve(66,a,60,a)].
% 0.91/1.31 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(66,a,61,a)].
% 0.91/1.31 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(66,a,62,a)].
% 0.91/1.31 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(66,a,63,a)].
% 0.91/1.31 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(66,a,64,a)].
% 0.91/1.31 67 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) # label(clsarity_nat__Ring__and__Field_Ocomm__semiring__1) # label(axiom). [assumption].
% 0.91/1.31 68 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B) # label(cls_class__semiring_Osemiring__rules_I24_J_0) # label(axiom). [assumption].
% 0.91/1.31 69 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B) # label(cls_class__semiring_Oadd__c_0) # label(axiom). [assumption].
% 0.91/1.31 70 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) # label(cls_class__semiring_Oadd__a_0) # label(axiom). [assumption].
% 0.91/1.31 71 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) # label(cls_class__semiring_Osemiring__rules_I25_J_0) # label(axiom). [assumption].
% 0.91/1.31 72 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)),C) # label(cls_class__semiring_Osemiring__rules_I23_J_0) # label(axiom). [assumption].
% 0.91/1.31 73 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)) # label(cls_class__semiring_Osemiring__rules_I22_J_0) # label(axiom). [assumption].
% 0.91/1.31 74 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) # label(cls_class__semiring_Osemiring__rules_I21_J_0) # label(axiom). [assumption].
% 0.91/1.31 75 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),E)) # label(cls_class__semiring_Osemiring__rules_I20_J_0) # label(axiom). [assumption].
% 0.91/1.31 76 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B) = B # label(cls_class__semiring_Oadd__0_0) # label(axiom). [assumption].
% 0.91/1.31 77 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A)) = B # label(cls_class__semiring_Osemiring__rules_I6_J_0) # label(axiom). [assumption].
% 0.91/1.34 78 -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B) = B # label(cls_class__semiring_Osemiring__rules_I5_J_0) # label(axiom). [assumption].
% 0.91/1.34 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C). [resolve(67,a,70,a)].
% 0.91/1.34 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)),B). [resolve(67,a,72,a)].
% 0.91/1.34 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),D)). [resolve(67,a,75,a)].
% 0.91/1.34 79 class_OrderedGroup_Oab__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Oab__semigroup__add) # label(axiom). [assumption].
% 0.91/1.34 80 -class_OrderedGroup_Oab__semigroup__add(A) | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(A),B,C,A,A) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),C,B,A,A) # label(cls_foldr__conv__foldl_0) # label(axiom). [assumption].
% 0.91/1.34 81 -class_OrderedGroup_Oab__semigroup__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)) # label(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) # label(axiom). [assumption].
% 0.91/1.34 Derived: c_List_Ofoldr(c_HOL_Oplus__class_Oplus(tc_nat),A,B,tc_nat,tc_nat) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(tc_nat),B,A,tc_nat,tc_nat). [resolve(79,a,80,a)].
% 0.91/1.34 82 class_OrderedGroup_Omonoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Omonoid__add) # label(axiom). [assumption].
% 0.91/1.34 83 -class_OrderedGroup_Omonoid__add(A) | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),B,C,A,A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(A),C,c_HOL_Ozero__class_Ozero(A),A,A)) # label(cls_foldl__foldr1__lemma_0) # label(axiom). [assumption].
% 0.91/1.34 84 -class_OrderedGroup_Omonoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B) = B # label(cls_add__0__left_0) # label(axiom). [assumption].
% 0.91/1.34 85 -class_OrderedGroup_Omonoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A)) = B # label(cls_monoid__add__class_Oadd__0__right_0) # label(axiom). [assumption].
% 0.91/1.34 86 -class_OrderedGroup_Omonoid__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A),C,A,A)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),B,C,A,A) # label(cls_foldl__absorb0_0) # label(axiom). [assumption].
% 0.91/1.34 87 -class_OrderedGroup_Omonoid__add(A) | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A),B,A,A) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(A),B,c_HOL_Ozero__class_Ozero(A),A,A) # label(cls_foldl__foldr1_0) # label(axiom). [assumption].
% 0.91/1.34 Derived: c_List_Ofoldl(c_HOL_Oplus__class_Oplus(tc_nat),A,B,tc_nat,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(tc_nat),B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat,tc_nat)). [resolve(82,a,83,a)].
% 0.91/1.34 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat,tc_nat)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(tc_nat),A,B,tc_nat,tc_nat). [resolve(82,a,86,a)].
% 0.91/1.34 Derived: c_List_Ofoldl(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat,tc_nat) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(tc_nat),A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat,tc_nat). [resolve(82,a,87,a)].
% 0.91/1.34 88 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) # label(axiom). [assumption].
% 0.91/1.40 89 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D) | C = D # label(cls_add__imp__eq_0) # label(axiom). [assumption].
% 0.91/1.40 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C) | B = C. [resolve(88,a,89,a)].
% 0.91/1.40 90 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocancel__semigroup__add) # label(axiom). [assumption].
% 0.91/1.40 91 -class_OrderedGroup_Ocancel__semigroup__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D) | C = D # label(cls_add__left__cancel_0) # label(axiom). [assumption].
% 0.91/1.40 92 -class_OrderedGroup_Ocancel__semigroup__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C) | B = D # label(cls_add__right__cancel_0) # label(axiom). [assumption].
% 0.91/1.40 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B) | A = C. [resolve(90,a,92,a)].
% 0.91/1.40 93 -class_OrderedGroup_Osemigroup__add(A) | c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(A),A) # label(cls_semigroup__add__class_Oaxioms_0) # label(axiom). [assumption].
% 0.91/1.40 94 hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D) = hAPP(hAPP(A,B),hAPP(hAPP(A,C),D)) | -c_OrderedGroup_Osemigroup__add(A,E) # label(cls_semigroup__add_Oadd__assoc_0) # label(axiom). [assumption].
% 0.91/1.40 Derived: -class_OrderedGroup_Osemigroup__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)). [resolve(93,b,94,b)].
% 0.91/1.40 95 c_List_Ofoldl(A,hAPP(hAPP(A,B),C),D,E,E) = hAPP(hAPP(A,B),c_List_Ofoldl(A,C,D,E,E)) | -c_OrderedGroup_Osemigroup__add(A,E) # label(cls_semigroup__add_Ofoldl__assoc_0) # label(axiom). [assumption].
% 0.91/1.40 96 class_OrderedGroup_Osemigroup__add(tc_nat) # label(clsarity_nat__OrderedGroup_Osemigroup__add) # label(axiom). [assumption].
% 0.91/1.40 97 -class_OrderedGroup_Osemigroup__add(A) | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A,A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(A),C,D,A,A)) # label(cls_foldl__assoc_0) # label(axiom). [assumption].
% 0.91/1.40 Derived: c_List_Ofoldl(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,tc_nat,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(tc_nat),B,C,tc_nat,tc_nat)). [resolve(96,a,97,a)].
% 0.91/1.40 98 -class_OrderedGroup_Osemigroup__add(A) | hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)). [resolve(93,b,94,b)].
% 0.91/1.40 Derived: hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)). [resolve(98,a,96,a)].
% 0.91/1.40
% 0.91/1.40 ============================== end predicate elimination =============
% 0.91/1.40
% 0.91/1.40 Auto_denials: (non-Horn, no changes).
% 0.91/1.40
% 0.91/1.40 Term ordering decisions:
% 0.91/1.40 Function symbol KB weights: tc_bool=1. tc_nat=1. tc_Lambda_OdB=1. c_Lambda_OdB_OApp=1. c_InductTermi_OIT=1. c_Lambda_Obeta=1. t_a=1. c_and=1. v_x=1. c_HOL_Oinduct__conj=1. c_or=1. v_i=1. v_rs=1. v_n=1. hAPP=1. tc_fun=1. c_Transitive__Closure_Ortranclp=1. c_Collect=1. c_List_Orev=1. c_List_Oset=1. c_Lambda_Olift=1. c_HOL_Oinduct__forall=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_HOL_Oplus__class_Oplus=1. c_List_Olist_ONil=1. c_Orderings_Obot__class_Obot=1. c_Lambda_OdB_OVar=1. c_Lambda_OdB_OAbs=1. c_HOL_Ozero__class_Ozero=1. v_sko__InductTermi__XIT__Xcases__1=1. v_sko__InductTermi__XIT__Xcases__3=1. v_sko__InductTermi__XIT__Xcases__5=1. c_fequal=1. v_sko__InductTermi__XIT__Xcases__4=1. v_sko__InductTermi__XIT__Xcases__6=1. v_sko__InductTermi__XIT__Xcases__2=1. c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1=1. c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2=1. c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3=1. c_ListApplication_Osko__ListApplication__Xlem__1__1=1. c_ListApplication_Osko__ListApplication__Xlem__1__2=1. c_ListApplication_Osko__ListApplication__Xlem__1__3=1. c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4=1. c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1=1. c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2=1. c_ListApplication_Osko__ListApplication__Xlem__1__4=1. c_Set_Oinsert=1. c_List_Oappend=1. c_List_Olist_OCons=1. c_in=1. c_Finite__Set_Ofold=1. c_Lambda_Osubst=1. c_List_Olistsp=1. c_List_Ofilter=1. c_Finite__Set_Ofold1=1. c_Lambda_Oliftn=1. c_Lambda_Osubstn=1. c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1=1. c_List_Osko__List__Xin__listsp__conv__set__1__1=1. c_COMBB=1. c_Finite__Set_Osetsum=1. c_Finite__Set_Ofold__image=1. c_COMBC=1. c_Complete__Lattice_Ocomplete__lattice__class_OSUPR=1. c_List_Osko__List__Xfoldl__apply__inv__1__1=1. c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1=1. c_Type_Osko__Type__Xlist__app__typeD__1__1=1. c_Type_Osko__Type__Xlist__app__typeE__1__1=1. c_Type_Osko__Type__Xvar__app__typesE__1__1=1. c_Type_Osko__Type__Xvar__app__types__1__1=1. c_List_Ofoldl=1. c_COMBS=1. c_List_Ofoldr=1. c_Lambda_OdB_OdB__case=1. c_Lambda_OdB_OdB__rec=1. c_Complete__Lattice_Ocomplete__lattice_OINFI=1. c_Complete__Lattice_Ocomplete__lattice_OSUPR=1. c_ATP__Linkup_Osko__Finite__Set__Xsetsum__Un__zero__1__1=1.
% 68.70/69.00
% 68.70/69.00 ============================== end of process initial clauses ========
% 68.70/69.00
% 68.70/69.00 ============================== CLAUSES FOR SEARCH ====================
% 68.70/69.00
% 68.70/69.00 ============================== end of clauses for search =============
% 68.70/69.00
% 68.70/69.00 ============================== SEARCH ================================
% 68.70/69.00
% 68.70/69.00 % Starting search at 0.23 seconds.
% 68.70/69.00
% 68.70/69.00 Low Water (keep): wt=73.000, iters=3366
% 68.70/69.00
% 68.70/69.00 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 89 (0.00 of 0.65 sec).
% 68.70/69.00
% 68.70/69.00 Low Water (keep): wt=59.000, iters=3395
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% 68.70/69.00 Low Water (keep): wt=29.000, iters=3344
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% 68.70/69.00 Low Water (keep): wt=28.000, iters=3396
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% 68.70/69.00 Low Water (keep): wt=27.000, iters=3436
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% 68.70/69.00 Low Water (keep): wt=24.000, iters=3400
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% 68.70/69.00 Low Water (keep): wt=23.000, iters=3371
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% 68.70/69.00 Low Water (keep): wt=22.000, iters=3377
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% 68.70/69.00 Low Water (keep): wt=21.000, iters=3364
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% 68.70/69.00 Low Water (keep): wt=20.000, iters=3343
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% 68.70/69.00 Low Water (displace): id=2023, wt=139.000
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% 68.70/69.00 Low Water (displace): id=2019, wt=126.000
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% 68.70/69.00 Low Water (displace): id=7778, wt=81.000
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% 68.70/69.00 Low Water (displace): id=11845, wt=19.000
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% 68.70/69.00 Low Water (displace): id=11965, wt=16.000
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% 68.70/69.00 Low Water (displace): id=11967, wt=14.000
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% 68.70/69.00 Low Water (displace): id=12387, wt=13.000
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% 68.70/69.00 Low Water (keep): wt=19.000, iters=3341
% 68.70/69.00
% 68.70/69.00 Low Water (keep): wt=18.000, iters=3333
% 68.70/69.00
% 68.70/69.00 Low Water (keep): wt=17.000, iters=3337
% 68.70/69.00
% 68.70/69.00 ============================== STATISTICS ============================
% 68.70/69.00
% 68.70/69.00 Given=11399. Generated=2139278. Kept=444729. proofs=0.
% 68.70/69.00 Usable=11150. Sos=9998. Demods=988. Limbo=1, Disabled=424247. Hints=0.
% 68.70/69.00 Kept_by_rule=0, Deleted_by_rule=274.
% 68.70/69.00 Forward_subsumed=188962. Back_subsumed=46.
% 68.70/69.00 Sos_limit_deleted=1505313. Sos_displaced=422226. Sos_removed=0.
% 68.70/69.00 New_demodulators=1208 (3 lex), Back_demodulated=1299. Back_unit_deleted=8.
% 68.70/69.00 Demod_attempts=53023581. Demod_rewrites=232282.
% 68.70/69.00 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 68.70/69.00 Nonunit_fsub_feature_tests=379682. Nonunit_bsub_feature_tests=9637.
% 68.70/69.00 Megabytes=419.43.
% 68.70/69.00 User_CPU=66.54, System_CPU=1.28, Wall_clock=67.
% 68.70/69.00
% 68.70/69.00 Megs malloced by palloc(): 400.
% 68.70/69.00 type (bytes each) gets frees in use bytes
% 68.70/69.00 chunk ( 104) 16806 16806 0 0.0 K
% 68.70/69.00 string_buf ( 8) 15407 15407 0 0.0 K
% 68.70/69.00 token ( 20) 33925 33925 0 0.0 K
% 68.70/69.00 pterm ( 16) 23800 23800 0 0.0 K
% 68.70/69.00 hashtab ( 8) 0 0 0 0.0 K
% 68.70/69.00 hashnode ( 8) 0 0 0 0.0 K
% 68.70/69.00 term ( 20) 80925477 71551988 9373489 183076.0 K
% 68.70/69.00 term arg arrays: 52812.6 K
% 68.70/69.00 attribute ( 12) 1710 54 1656 19.4 K
% 68.70/69.00 ilist ( 8) 547825342 545951779 1873563 14637.2 K
% 68.70/69.00 plist ( 8) 13735210 13250541 484669 3786.5 K
% 68.70/69.00 i2list ( 12) 22571560 22571560 0 0.0 K
% 68.70/69.00 just ( 12) 2375791 1923667 452124 5298.3 K
% 68.70/69.00 parajust ( 16) 720534 657938 62596 978.1 K
% 68.70/69.00 instancejust ( 8) 0 0 0 0.0 K
% 68.70/69.00 ivyjust ( 24) 0 0 0 0.0 K
% 68.70/69.00 formula ( 28) 2500 2500 0 0.0 K
% 68.70/69.00 formula arg arrays: 0.0 K
% 68.70/69.00 topform ( 52) 2139967 1694549 445418 22618.9 K
% 68.70/69.00 clist_pos ( 20) 1327413 881029 446384 8718.4 K
% 68.70/69.00 clist ( 16) 8 1 7 0.1 K
% 68.70/69.00 context ( 808) 11828164 11828162 2 1.6 K
% 68.70/69.00 trail ( 12) 8537063 8537062 1 0.0 K
% 68.70/69.00 ac_match_pos (70044) 0 0 0 0.0 K
% 68.70/69.00 ac_match_free_vars_pos (20020)
% 68.70/69.00 0 0 0 0.0 K
% 68.70/69.00 btm_state ( 60) 0 0 0 0.0 K
% 68.70/69.00 btu_state ( 60) 0 0 0 0.0 K
% 68.70/69.00 ac_position (285432) 0 0 0 0.0 K
% 68.70/69.00 fpa_trie ( 20) 5617561 4748991 868570 16964.3 K
% 68.70/69.00 fpa_state ( 28) 8571322 8571304 18 0.5 K
% 68.70/69.00 fpa_index ( 12) 10 0 10 0.1 K
% 68.70/69.00 fpa_chunk ( 20) 6568065 6465397 102668 2005.2 K
% 68.70/69.00 fpa_list ( 16) 4812680 0 4812680 75198.1 K
% 68.70/69.00 fpa_list chunks: 5093.4 K
% 68.70/69.00 discrim ( 12) 7195398 7054128 141270 1655.5 K
% 68.70/69.00 discrim_pos ( 16) 1402748 1402748 0 0.0 K
% 68.70/69.00 flat2 ( 32) 36349404 36349404 0 0.0 K
% 68.70/69.00 flat ( 48) 0 0 0 0.0 K
% 68.70/69.00 flatterm ( 32) 88050983 88050983 0 0.0 K
% 68.70/69.00 mindex ( 28) 13 0 13 0.4 K
% 68.70/69.00 mindex_pos ( 56) 6097965 6097964 1 0.1 K
% 68.70/69.00 lindex ( 12) 5 0 5 0.1 K
% 68.70/69.00 clash ( 40) 0 0 0 0.0 K
% 68.70/69.00 di_tree ( 12) 6063384 5168174 895210 10490.7 K
% 68.70/69.00 avl_node ( 20) 888954 868958 19996 390.5 K
% 68.70/69.00
% 68.70/69.00 Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 68.70/69.00 List 1, length 543, 2.1 K
% 68.70/69.00 List 2, length 338, 2.6 K
% 68.70/69.00 List 3, length 7808, 91.5 K
% 68.70/69.00 List 5, length 217, 4.2 K
% 68.70/69.00 List 6, length 8, 0.2 K
% 68.70/69.00 List 7, length 18, 0.5 K
% 68.70/69.00 List 8, length 58, 1.8 K
% 68.70/69.00 List 9, length 3, 0.1 K
% 68.70/69.00 List 10, length 2, 0.1 K
% 68.70/69.00 List 14, length 1, 0.1 K
% 68.70/69.00 List 16, length 17, 1.1 K
% 68.70/69.00 List 26, length 96, 9.8 K
% 68.70/69.00 List 32, length 91, 11.4 K
% 68.70/69.00 List 64, length 15, 3.8 K
% 68.70/69.00 List 128, length 127, 63.5 K
% 68.70/69.00 List 202, length 2, 1.6 K
% 68.70/69.00
% 68.70/69.00 ============================== SELECTOR REPORT =======================
% 68.70/69.00 Sos_deleted=1505313, Sos_displaced=422226, Sos_size=9998
% 68.70/69.00 SELECTOR PART PRIORITY ORDER SIZE SELECTED
% 68.70/69.00 I 2147483647 high age 0 422
% 68.70/69.00 H 1 high weight 0 0
% 68.70/69.00 A 1 low age 9998 1220
% 68.70/69.00 F 4 low weight 2811 4880
% 68.70/69.00 T 4 low weight 7187 4877
% 68.70/69.00 ============================== end of selector report ================
% 68.70/69.00
% 68.70/69.00 ============================== end of statistics =====================
% 68.70/69.00
% 68.70/69.00 Exiting with failure.
% 68.70/69.00
% 68.70/69.00 Process 19947 exit (max_megs) Mon Jul 4 04:13:59 2022
% 68.70/69.00 Prover9 interrupted
%------------------------------------------------------------------------------