TSTP Solution File: NLP053+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NLP053+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n009.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 : Mon Jul 18 05:05:59 EDT 2022
% Result : Unknown 14.87s 15.15s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NLP053+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 18:48:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.04 ============================== Prover9 ===============================
% 0.45/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.04 Process 18556 was started by sandbox on n009.cluster.edu,
% 0.45/1.04 Thu Jun 30 18:48:23 2022
% 0.45/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18403_n009.cluster.edu".
% 0.45/1.04 ============================== end of head ===========================
% 0.45/1.04
% 0.45/1.04 ============================== INPUT =================================
% 0.45/1.04
% 0.45/1.04 % Reading from file /tmp/Prover9_18403_n009.cluster.edu
% 0.45/1.04
% 0.45/1.04 set(prolog_style_variables).
% 0.45/1.04 set(auto2).
% 0.45/1.04 % set(auto2) -> set(auto).
% 0.45/1.04 % set(auto) -> set(auto_inference).
% 0.45/1.04 % set(auto) -> set(auto_setup).
% 0.45/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.04 % set(auto) -> set(auto_limits).
% 0.45/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.04 % set(auto) -> set(auto_denials).
% 0.45/1.04 % set(auto) -> set(auto_process).
% 0.45/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.04 % set(auto2) -> assign(stats, some).
% 0.45/1.04 % set(auto2) -> clear(echo_input).
% 0.45/1.04 % set(auto2) -> set(quiet).
% 0.45/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.04 % set(auto2) -> clear(print_given).
% 0.45/1.04 assign(lrs_ticks,-1).
% 0.45/1.04 assign(sos_limit,10000).
% 0.45/1.04 assign(order,kbo).
% 0.45/1.04 set(lex_order_vars).
% 0.45/1.04 clear(print_given).
% 0.45/1.04
% 0.45/1.04 % formulas(sos). % not echoed (57 formulas)
% 0.45/1.04
% 0.45/1.04 ============================== end of input ==========================
% 0.45/1.04
% 0.45/1.04 % From the command line: assign(max_seconds, 300).
% 0.45/1.04
% 0.45/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.04
% 0.45/1.04 % Formulas that are not ordinary clauses:
% 0.45/1.04 1 (all U all V (woman(U,V) -> female(U,V))) # label(ax1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 2 (all U all V (human_person(U,V) -> animate(U,V))) # label(ax2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 3 (all U all V (human_person(U,V) -> human(U,V))) # label(ax3) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 4 (all U all V (organism(U,V) -> living(U,V))) # label(ax4) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 5 (all U all V (organism(U,V) -> impartial(U,V))) # label(ax5) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 6 (all U all V (organism(U,V) -> entity(U,V))) # label(ax6) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 7 (all U all V (human_person(U,V) -> organism(U,V))) # label(ax7) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 8 (all U all V (woman(U,V) -> human_person(U,V))) # label(ax8) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 9 (all U all V (mia_forename(U,V) -> forename(U,V))) # label(ax9) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 10 (all U all V (relation(U,V) -> abstraction(U,V))) # label(ax10) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 11 (all U all V (relname(U,V) -> relation(U,V))) # label(ax11) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 12 (all U all V (forename(U,V) -> relname(U,V))) # label(ax12) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 13 (all U all V (object(U,V) -> unisex(U,V))) # label(ax13) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 14 (all U all V (object(U,V) -> impartial(U,V))) # label(ax14) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 15 (all U all V (object(U,V) -> nonliving(U,V))) # label(ax15) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 16 (all U all V (entity(U,V) -> existent(U,V))) # label(ax16) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 17 (all U all V (entity(U,V) -> specific(U,V))) # label(ax17) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 18 (all U all V (entity(U,V) -> thing(U,V))) # label(ax18) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 19 (all U all V (object(U,V) -> entity(U,V))) # label(ax19) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 20 (all U all V (substance_matter(U,V) -> object(U,V))) # label(ax20) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 21 (all U all V (food(U,V) -> substance_matter(U,V))) # label(ax21) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 22 (all U all V (beverage(U,V) -> food(U,V))) # label(ax22) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 23 (all U all V (shake_beverage(U,V) -> beverage(U,V))) # label(ax23) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 24 (all U all V (order(U,V) -> event(U,V))) # label(ax24) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 25 (all U all V (act(U,V) -> event(U,V))) # label(ax25) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 26 (all U all V (order(U,V) -> act(U,V))) # label(ax26) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 27 (all U all V (eventuality(U,V) -> unisex(U,V))) # label(ax27) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 28 (all U all V (eventuality(U,V) -> nonexistent(U,V))) # label(ax28) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 29 (all U all V (eventuality(U,V) -> specific(U,V))) # label(ax29) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 30 (all U all V (eventuality(U,V) -> thing(U,V))) # label(ax30) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 31 (all U all V (event(U,V) -> eventuality(U,V))) # label(ax31) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 32 (all U all V (cost(U,V) -> event(U,V))) # label(ax32) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 33 (all U all V (five(U,V) -> group(U,V))) # label(ax33) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 34 (all U all V (set(U,V) -> multiple(U,V))) # label(ax34) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 35 (all U all V (group(U,V) -> set(U,V))) # label(ax35) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 36 (all U all V (abstraction(U,V) -> unisex(U,V))) # label(ax36) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 37 (all U all V (abstraction(U,V) -> general(U,V))) # label(ax37) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 38 (all U all V (abstraction(U,V) -> nonhuman(U,V))) # label(ax38) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 39 (all U all V (thing(U,V) -> singleton(U,V))) # label(ax39) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 40 (all U all V (abstraction(U,V) -> thing(U,V))) # label(ax40) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 41 (all U all V (possession(U,V) -> abstraction(U,V))) # label(ax41) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 42 (all U all V (currency(U,V) -> possession(U,V))) # label(ax42) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 43 (all U all V (cash(U,V) -> currency(U,V))) # label(ax43) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 44 (all U all V (dollar(U,V) -> cash(U,V))) # label(ax44) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 45 (all U all V (animate(U,V) -> -nonliving(U,V))) # label(ax45) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 46 (all U all V (existent(U,V) -> -nonexistent(U,V))) # label(ax46) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 47 (all U all V (nonhuman(U,V) -> -human(U,V))) # label(ax47) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 48 (all U all V (nonliving(U,V) -> -living(U,V))) # label(ax48) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 49 (all U all V (present(U,V) -> -past(U,V))) # label(ax49) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 50 (all U all V (singleton(U,V) -> -multiple(U,V))) # label(ax50) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 51 (all U all V (specific(U,V) -> -general(U,V))) # label(ax51) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 52 (all U all V (unisex(U,V) -> -female(U,V))) # label(ax52) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.04 53 (all U all V all W (entity(U,V) & forename(U,W) & of(U,W,V) -> -(exists X (forename(U,X) & X != W & of(U,X,V))))) # label(ax53) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.05 54 (all U all V all W all X (nonreflexive(U,V) & agent(U,V,W) & patient(U,V,X) -> W != X)) # label(ax54) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.05 55 (all U all V (five(U,V) <-> (exists W (member(U,W,V) & (exists X (member(U,X,V) & X != W & (exists Y (member(U,Y,V) & Y != X & Y != W & (exists Z (member(U,Z,V) & Z != Y & Z != X & Z != W & (exists X1 (member(U,X1,V) & X1 != Z & X1 != Y & X1 != X & X1 != W & (all X2 (member(U,X2,V) -> X2 = X1 | X2 = Z | X2 = Y | X2 = X | X2 = W)))))))))))))) # label(ax55) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.05 56 (all U -(exists V member(U,V,V))) # label(ax56) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.05 57 --(exists U (actual_world(U) & (exists V exists W exists X exists Y exists Z (of(U,W,V) & woman(U,V) & mia_forename(U,W) & forename(U,W) & shake_beverage(U,X) & event(U,Y) & agent(U,Y,V) & patient(U,Y,X) & past(U,Y) & nonreflexive(U,Y) & order(U,Y) & nonhuman(U,Z) & (all X1 (member(U,X1,Z) -> (exists X2 (event(U,X2) & agent(U,X2,Z) & patient(U,X2,X1) & present(U,X2) & nonreflexive(U,X2) & cost(U,X2))))) & five(U,Z) & group(U,Z) & (all X3 (member(U,X3,Z) -> dollar(U,X3))))))) # label(co1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.45/1.05
% 0.45/1.05 ============================== end of process non-clausal formulas ===
% 0.45/1.05
% 0.45/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.05
% 0.45/1.05 ============================== PREDICATE ELIMINATION =================
% 0.45/1.05 58 -woman(A,B) | female(A,B) # label(ax1) # label(axiom). [clausify(1)].
% 0.45/1.05 59 woman(c1,c2) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: female(c1,c2). [resolve(58,a,59,a)].
% 0.45/1.05 60 -woman(A,B) | human_person(A,B) # label(ax8) # label(axiom). [clausify(8)].
% 0.45/1.05 Derived: human_person(c1,c2). [resolve(60,a,59,a)].
% 0.45/1.05 61 -mia_forename(A,B) | forename(A,B) # label(ax9) # label(axiom). [clausify(9)].
% 0.45/1.05 62 mia_forename(c1,c3) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: forename(c1,c3). [resolve(61,a,62,a)].
% 0.45/1.05 63 -shake_beverage(A,B) | beverage(A,B) # label(ax23) # label(axiom). [clausify(23)].
% 0.45/1.05 64 shake_beverage(c1,c4) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: beverage(c1,c4). [resolve(63,a,64,a)].
% 0.45/1.05 65 -event(A,B) | eventuality(A,B) # label(ax31) # label(axiom). [clausify(31)].
% 0.45/1.05 66 event(c1,c5) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 67 -order(A,B) | event(A,B) # label(ax24) # label(axiom). [clausify(24)].
% 0.45/1.05 68 -act(A,B) | event(A,B) # label(ax25) # label(axiom). [clausify(25)].
% 0.45/1.05 Derived: eventuality(c1,c5). [resolve(65,a,66,a)].
% 0.45/1.05 Derived: eventuality(A,B) | -order(A,B). [resolve(65,a,67,b)].
% 0.45/1.05 Derived: eventuality(A,B) | -act(A,B). [resolve(65,a,68,b)].
% 0.45/1.05 69 -cost(A,B) | event(A,B) # label(ax32) # label(axiom). [clausify(32)].
% 0.45/1.05 Derived: -cost(A,B) | eventuality(A,B). [resolve(69,b,65,a)].
% 0.45/1.05 70 -member(c1,A,c6) | event(c1,f7(A)) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: -member(c1,A,c6) | eventuality(c1,f7(A)). [resolve(70,b,65,a)].
% 0.45/1.05 71 -present(A,B) | -past(A,B) # label(ax49) # label(axiom). [clausify(49)].
% 0.45/1.05 72 past(c1,c5) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: -present(c1,c5). [resolve(71,b,72,a)].
% 0.45/1.05 73 -nonreflexive(A,B) | -agent(A,B,C) | -patient(A,B,D) | D != C # label(ax54) # label(axiom). [clausify(54)].
% 0.45/1.05 74 nonreflexive(c1,c5) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: -agent(c1,c5,A) | -patient(c1,c5,B) | B != A. [resolve(73,a,74,a)].
% 0.45/1.05 75 -member(c1,A,c6) | nonreflexive(c1,f7(A)) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: -member(c1,A,c6) | -agent(c1,f7(A),B) | -patient(c1,f7(A),C) | C != B. [resolve(75,b,73,a)].
% 0.45/1.05 76 -order(A,B) | act(A,B) # label(ax26) # label(axiom). [clausify(26)].
% 0.45/1.05 77 order(c1,c5) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: act(c1,c5). [resolve(76,a,77,a)].
% 0.45/1.05 78 eventuality(A,B) | -order(A,B). [resolve(65,a,67,b)].
% 0.45/1.05 Derived: eventuality(c1,c5). [resolve(78,b,77,a)].
% 0.45/1.05 79 -nonhuman(A,B) | -human(A,B) # label(ax47) # label(axiom). [clausify(47)].
% 0.45/1.05 80 nonhuman(c1,c6) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: -human(c1,c6). [resolve(79,a,80,a)].
% 0.45/1.05 81 -abstraction(A,B) | nonhuman(A,B) # label(ax38) # label(axiom). [clausify(38)].
% 0.45/1.05 Derived: -abstraction(A,B) | -human(A,B). [resolve(81,b,79,a)].
% 0.45/1.05 82 -five(A,B) | f2(A,B) != f1(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 83 five(c1,c6) # label(co1) # label(negated_conjecture). [clausify(57)].
% 0.45/1.05 Derived: f2(c1,c6) != f1(c1,c6). [resolve(82,a,83,a)].
% 0.45/1.05 84 -five(A,B) | f3(A,B) != f2(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: f3(c1,c6) != f2(c1,c6). [resolve(84,a,83,a)].
% 0.45/1.05 85 -five(A,B) | f3(A,B) != f1(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: f3(c1,c6) != f1(c1,c6). [resolve(85,a,83,a)].
% 0.45/1.05 86 -five(A,B) | f4(A,B) != f3(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: f4(c1,c6) != f3(c1,c6). [resolve(86,a,83,a)].
% 0.45/1.05 87 -five(A,B) | f4(A,B) != f2(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: f4(c1,c6) != f2(c1,c6). [resolve(87,a,83,a)].
% 0.45/1.05 88 -five(A,B) | f4(A,B) != f1(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: f4(c1,c6) != f1(c1,c6). [resolve(88,a,83,a)].
% 0.45/1.05 89 -five(A,B) | f5(A,B) != f4(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: f5(c1,c6) != f4(c1,c6). [resolve(89,a,83,a)].
% 0.45/1.05 90 -five(A,B) | f5(A,B) != f3(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: f5(c1,c6) != f3(c1,c6). [resolve(90,a,83,a)].
% 0.45/1.05 91 -five(A,B) | f5(A,B) != f2(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: f5(c1,c6) != f2(c1,c6). [resolve(91,a,83,a)].
% 0.45/1.05 92 -five(A,B) | f5(A,B) != f1(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: f5(c1,c6) != f1(c1,c6). [resolve(92,a,83,a)].
% 0.45/1.05 93 -five(A,B) | group(A,B) # label(ax33) # label(axiom). [clausify(33)].
% 0.45/1.05 Derived: group(c1,c6). [resolve(93,a,83,a)].
% 0.45/1.05 94 -five(A,B) | member(A,f1(A,B),B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: member(c1,f1(c1,c6),c6). [resolve(94,a,83,a)].
% 0.45/1.05 95 -five(A,B) | member(A,f2(A,B),B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: member(c1,f2(c1,c6),c6). [resolve(95,a,83,a)].
% 0.45/1.05 96 -five(A,B) | member(A,f3(A,B),B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: member(c1,f3(c1,c6),c6). [resolve(96,a,83,a)].
% 0.45/1.05 97 -five(A,B) | member(A,f4(A,B),B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: member(c1,f4(c1,c6),c6). [resolve(97,a,83,a)].
% 0.45/1.05 98 -five(A,B) | member(A,f5(A,B),B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: member(c1,f5(c1,c6),c6). [resolve(98,a,83,a)].
% 0.45/1.05 99 -five(A,B) | -member(A,C,B) | C = f5(A,B) | C = f4(A,B) | C = f3(A,B) | C = f2(A,B) | C = f1(A,B) # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: -member(c1,A,c6) | A = f5(c1,c6) | A = f4(c1,c6) | A = f3(c1,c6) | A = f2(c1,c6) | A = f1(c1,c6). [resolve(99,a,83,a)].
% 0.45/1.05 100 five(A,B) | -member(A,C,B) | -member(A,D,B) | D = C | -member(A,E,B) | E = D | E = C | -member(A,F,B) | F = E | F = D | F = C | -member(A,V6,B) | V6 = F | V6 = E | V6 = D | V6 = C | f6(A,B,C,D,E,F,V6) != V6 # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.05 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f2(A,C) != f1(A,C). [resolve(100,a,82,a)].
% 0.45/1.05 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f3(A,C) != f2(A,C). [resolve(100,a,84,a)].
% 0.45/1.05 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f3(A,C) != f1(A,C). [resolve(100,a,85,a)].
% 0.45/1.05 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f4(A,C) != f3(A,C). [resolve(100,a,86,a)].
% 0.45/1.05 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f4(A,C) != f2(A,C). [resolve(100,a,87,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f4(A,C) != f1(A,C). [resolve(100,a,88,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f5(A,C) != f4(A,C). [resolve(100,a,89,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f5(A,C) != f3(A,C). [resolve(100,a,90,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f5(A,C) != f2(A,C). [resolve(100,a,91,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | f5(A,C) != f1(A,C). [resolve(100,a,92,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | group(A,C). [resolve(100,a,93,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | member(A,f1(A,C),C). [resolve(100,a,94,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | member(A,f2(A,C),C). [resolve(100,a,95,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | member(A,f3(A,C),C). [resolve(100,a,96,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | member(A,f4(A,C),C). [resolve(100,a,97,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | member(A,f5(A,C),C). [resolve(100,a,98,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | -member(A,V7,C) | V7 = f5(A,C) | V7 = f4(A,C) | V7 = f3(A,C) | V7 = f2(A,C) | V7 = f1(A,C). [resolve(100,a,99,a)].
% 0.45/1.07 101 five(A,B) | -member(A,C,B) | -member(A,D,B) | D = C | -member(A,E,B) | E = D | E = C | -member(A,F,B) | F = E | F = D | F = C | -member(A,V6,B) | V6 = F | V6 = E | V6 = D | V6 = C | f6(A,B,C,D,E,F,V6) != F # label(ax55) # label(axiom). [clausify(55)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f2(A,C) != f1(A,C). [resolve(101,a,82,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f3(A,C) != f2(A,C). [resolve(101,a,84,a)].
% 0.45/1.07 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f3(A,C) != f1(A,C). [resolve(101,a,85,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f4(A,C) != f3(A,C). [resolve(101,a,86,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f4(A,C) != f2(A,C). [resolve(101,a,87,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f4(A,C) != f1(A,C). [resolve(101,a,88,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f5(A,C) != f4(A,C). [resolve(101,a,89,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f5(A,C) != f3(A,C). [resolve(101,a,90,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f5(A,C) != f2(A,C). [resolve(101,a,91,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | f5(A,C) != f1(A,C). [resolve(101,a,92,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | group(A,C). [resolve(101,a,93,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | member(A,f1(A,C),C). [resolve(101,a,94,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | member(A,f2(A,C),C). [resolve(101,a,95,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | member(A,f3(A,C),C). [resolve(101,a,96,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | member(A,f4(A,C),C). [resolve(101,a,97,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | member(A,f5(A,C),C). [resolve(101,a,98,a)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | -member(A,V7,C) | V7 = f5(A,C) | V7 = f4(A,C) | V7 = f3(A,C) | V7 = f2(A,C) | V7 = f1(A,C). [resolve(101,a,99,a)].
% 0.83/1.12 102 five(A,B) | -member(A,C,B) | -member(A,D,B) | D = C | -member(A,E,B) | E = D | E = C | -member(A,F,B) | F = E | F = D | F = C | -member(A,V6,B) | V6 = F | V6 = E | V6 = D | V6 = C | f6(A,B,C,D,E,F,V6) != E # label(ax55) # label(axiom). [clausify(55)].
% 0.83/1.12 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f2(A,C) != f1(A,C). [resolve(102,a,82,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f3(A,C) != f2(A,C). [resolve(102,a,84,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f3(A,C) != f1(A,C). [resolve(102,a,85,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f4(A,C) != f3(A,C). [resolve(102,a,86,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f4(A,C) != f2(A,C). [resolve(102,a,87,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f4(A,C) != f1(A,C). [resolve(102,a,88,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f5(A,C) != f4(A,C). [resolve(102,a,89,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f5(A,C) != f3(A,C). [resolve(102,a,90,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f5(A,C) != f2(A,C). [resolve(102,a,91,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | f5(A,C) != f1(A,C). [resolve(102,a,92,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | group(A,C). [resolve(102,a,93,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | member(A,f1(A,C),C). [resolve(102,a,94,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | member(A,f2(A,C),C). [resolve(102,a,95,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | member(A,f3(A,C),C). [resolve(102,a,96,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | member(A,f4(A,C),C). [resolve(102,a,97,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | member(A,f5(A,C),C). [resolve(102,a,98,a)].
% 0.92/1.19 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | -member(A,V7,C) | V7 = f5(A,C) | V7 = f4(A,C) | V7 = f3(A,C) | V7 = f2(A,C) | V7 = f1(A,C). [resolve(102,a,99,a)].
% 0.98/1.24 103 five(A,B) | -member(A,C,B) | -member(A,D,B) | D = C | -member(A,E,B) | E = D | E = C | -member(A,F,B) | F = E | F = D | F = C | -member(A,V6,B) | V6 = F | V6 = E | V6 = D | V6 = C | f6(A,B,C,D,E,F,V6) != D # label(ax55) # label(axiom). [clausify(55)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f2(A,C) != f1(A,C). [resolve(103,a,82,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f3(A,C) != f2(A,C). [resolve(103,a,84,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f3(A,C) != f1(A,C). [resolve(103,a,85,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f4(A,C) != f3(A,C). [resolve(103,a,86,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f4(A,C) != f2(A,C). [resolve(103,a,87,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f4(A,C) != f1(A,C). [resolve(103,a,88,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f5(A,C) != f4(A,C). [resolve(103,a,89,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f5(A,C) != f3(A,C). [resolve(103,a,90,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f5(A,C) != f2(A,C). [resolve(103,a,91,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | f5(A,C) != f1(A,C). [resolve(103,a,92,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | group(A,C). [resolve(103,a,93,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | member(A,f1(A,C),C). [resolve(103,a,94,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | member(A,f2(A,C),C). [resolve(103,a,95,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | member(A,f3(A,C),C). [resolve(103,a,96,a)].
% 0.98/1.24 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | member(A,f4(A,C),C). [resolve(103,a,97,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | member(A,f5(A,C),C). [resolve(103,a,98,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | -member(A,V7,C) | V7 = f5(A,C) | V7 = f4(A,C) | V7 = f3(A,C) | V7 = f2(A,C) | V7 = f1(A,C). [resolve(103,a,99,a)].
% 0.98/1.32 104 five(A,B) | -member(A,C,B) | -member(A,D,B) | D = C | -member(A,E,B) | E = D | E = C | -member(A,F,B) | F = E | F = D | F = C | -member(A,V6,B) | V6 = F | V6 = E | V6 = D | V6 = C | f6(A,B,C,D,E,F,V6) != C # label(ax55) # label(axiom). [clausify(55)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f2(A,C) != f1(A,C). [resolve(104,a,82,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f3(A,C) != f2(A,C). [resolve(104,a,84,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f3(A,C) != f1(A,C). [resolve(104,a,85,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f4(A,C) != f3(A,C). [resolve(104,a,86,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f4(A,C) != f2(A,C). [resolve(104,a,87,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f4(A,C) != f1(A,C). [resolve(104,a,88,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f5(A,C) != f4(A,C). [resolve(104,a,89,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f5(A,C) != f3(A,C). [resolve(104,a,90,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f5(A,C) != f2(A,C). [resolve(104,a,91,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | f5(A,C) != f1(A,C). [resolve(104,a,92,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | group(A,C). [resolve(104,a,93,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | member(A,f1(A,C),C). [resolve(104,a,94,a)].
% 0.98/1.32 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | member(A,f2(A,C),C). [resolve(104,a,95,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | member(A,f3(A,C),C). [resolve(104,a,96,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | member(A,f4(A,C),C). [resolve(104,a,97,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | member(A,f5(A,C),C). [resolve(104,a,98,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | -member(A,V7,C) | V7 = f5(A,C) | V7 = f4(A,C) | V7 = f3(A,C) | V7 = f2(A,C) | V7 = f1(A,C). [resolve(104,a,99,a)].
% 1.14/1.40 105 five(A,B) | -member(A,C,B) | -member(A,D,B) | D = C | -member(A,E,B) | E = D | E = C | -member(A,F,B) | F = E | F = D | F = C | -member(A,V6,B) | V6 = F | V6 = E | V6 = D | V6 = C | member(A,f6(A,B,C,D,E,F,V6),B) # label(ax55) # label(axiom). [clausify(55)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f2(A,C) != f1(A,C). [resolve(105,a,82,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f3(A,C) != f2(A,C). [resolve(105,a,84,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f3(A,C) != f1(A,C). [resolve(105,a,85,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f4(A,C) != f3(A,C). [resolve(105,a,86,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f4(A,C) != f2(A,C). [resolve(105,a,87,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f4(A,C) != f1(A,C). [resolve(105,a,88,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f5(A,C) != f4(A,C). [resolve(105,a,89,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f5(A,C) != f3(A,C). [resolve(105,a,90,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f5(A,C) != f2(A,C). [resolve(105,a,91,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | f5(A,C) != f1(A,C). [resolve(105,a,92,a)].
% 1.14/1.40 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | group(A,C). [resolve(105,a,93,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | member(A,f1(A,C),C). [resolve(105,a,94,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | member(A,f2(A,C),C). [resolve(105,a,95,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | member(A,f3(A,C),C). [resolve(105,a,96,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | member(A,f4(A,C),C). [resolve(105,a,97,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | member(A,f5(A,C),C). [resolve(105,a,98,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | -member(A,V7,C) | V7 = f5(A,C) | V7 = f4(A,C) | V7 = f3(A,C) | V7 = f2(A,C) | V7 = f1(A,C). [resolve(105,a,99,a)].
% 1.21/1.47 106 -group(A,B) | set(A,B) # label(ax35) # label(axiom). [clausify(35)].
% 1.21/1.47 107 group(c1,c6) # label(co1) # label(negated_conjecture). [clausify(57)].
% 1.21/1.47 Derived: set(c1,c6). [resolve(106,a,107,a)].
% 1.21/1.47 108 group(c1,c6). [resolve(93,a,83,a)].
% 1.21/1.47 109 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | group(A,C). [resolve(100,a,93,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | set(A,C). [resolve(109,q,106,a)].
% 1.21/1.47 110 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | group(A,C). [resolve(101,a,93,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | set(A,C). [resolve(110,q,106,a)].
% 1.21/1.47 111 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | group(A,C). [resolve(102,a,93,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | set(A,C). [resolve(111,q,106,a)].
% 1.21/1.47 112 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | group(A,C). [resolve(103,a,93,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | set(A,C). [resolve(112,q,106,a)].
% 1.21/1.47 113 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | group(A,C). [resolve(104,a,93,a)].
% 1.21/1.47 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | set(A,C). [resolve(113,q,106,a)].
% 1.28/1.53 114 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | group(A,C). [resolve(105,a,93,a)].
% 1.28/1.53 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | set(A,C). [resolve(114,q,106,a)].
% 1.28/1.53 115 -human_person(A,B) | animate(A,B) # label(ax2) # label(axiom). [clausify(2)].
% 1.28/1.53 116 -animate(A,B) | -nonliving(A,B) # label(ax45) # label(axiom). [clausify(45)].
% 1.28/1.53 Derived: -human_person(A,B) | -nonliving(A,B). [resolve(115,b,116,a)].
% 1.28/1.53 117 -entity(A,B) | existent(A,B) # label(ax16) # label(axiom). [clausify(16)].
% 1.28/1.53 118 -existent(A,B) | -nonexistent(A,B) # label(ax46) # label(axiom). [clausify(46)].
% 1.28/1.53 Derived: -entity(A,B) | -nonexistent(A,B). [resolve(117,b,118,a)].
% 1.28/1.53 119 -object(A,B) | nonliving(A,B) # label(ax15) # label(axiom). [clausify(15)].
% 1.28/1.53 120 -nonliving(A,B) | -living(A,B) # label(ax48) # label(axiom). [clausify(48)].
% 1.28/1.53 Derived: -object(A,B) | -living(A,B). [resolve(119,b,120,a)].
% 1.28/1.53 121 -human_person(A,B) | -nonliving(A,B). [resolve(115,b,116,a)].
% 1.28/1.53 Derived: -human_person(A,B) | -object(A,B). [resolve(121,b,119,b)].
% 1.28/1.53 122 -thing(A,B) | singleton(A,B) # label(ax39) # label(axiom). [clausify(39)].
% 1.28/1.53 123 -singleton(A,B) | -multiple(A,B) # label(ax50) # label(axiom). [clausify(50)].
% 1.28/1.53 Derived: -thing(A,B) | -multiple(A,B). [resolve(122,b,123,a)].
% 1.28/1.53 124 -entity(A,B) | specific(A,B) # label(ax17) # label(axiom). [clausify(17)].
% 1.28/1.53 125 -specific(A,B) | -general(A,B) # label(ax51) # label(axiom). [clausify(51)].
% 1.28/1.53 Derived: -entity(A,B) | -general(A,B). [resolve(124,b,125,a)].
% 1.28/1.53 126 -eventuality(A,B) | specific(A,B) # label(ax29) # label(axiom). [clausify(29)].
% 1.28/1.53 Derived: -eventuality(A,B) | -general(A,B). [resolve(126,b,125,a)].
% 1.28/1.53 127 -object(A,B) | unisex(A,B) # label(ax13) # label(axiom). [clausify(13)].
% 1.28/1.53 128 -unisex(A,B) | -female(A,B) # label(ax52) # label(axiom). [clausify(52)].
% 1.28/1.53 Derived: -object(A,B) | -female(A,B). [resolve(127,b,128,a)].
% 1.28/1.53 129 -eventuality(A,B) | unisex(A,B) # label(ax27) # label(axiom). [clausify(27)].
% 1.28/1.53 Derived: -eventuality(A,B) | -female(A,B). [resolve(129,b,128,a)].
% 1.28/1.53 130 -abstraction(A,B) | unisex(A,B) # label(ax36) # label(axiom). [clausify(36)].
% 1.28/1.53 Derived: -abstraction(A,B) | -female(A,B). [resolve(130,b,128,a)].
% 1.28/1.53 131 human_person(c1,c2). [resolve(60,a,59,a)].
% 1.28/1.53 132 -human_person(A,B) | human(A,B) # label(ax3) # label(axiom). [clausify(3)].
% 1.28/1.53 133 -human_person(A,B) | organism(A,B) # label(ax7) # label(axiom). [clausify(7)].
% 1.28/1.53 Derived: human(c1,c2). [resolve(131,a,132,a)].
% 1.28/1.53 Derived: organism(c1,c2). [resolve(131,a,133,a)].
% 1.28/1.53 134 -human_person(A,B) | -object(A,B). [resolve(121,b,119,b)].
% 1.28/1.53 Derived: -object(c1,c2). [resolve(134,a,131,a)].
% 1.28/1.53 135 organism(c1,c2). [resolve(131,a,133,a)].
% 1.28/1.53 136 -organism(A,B) | living(A,B) # label(ax4) # label(axiom). [clausify(4)].
% 1.28/1.53 137 -organism(A,B) | impartial(A,B) # label(ax5) # label(axiom). [clausify(5)].
% 1.28/1.53 138 -organism(A,B) | entity(A,B) # label(ax6) # label(axiom). [clausify(6)].
% 1.28/1.53 Derived: living(c1,c2). [resolve(135,a,136,a)].
% 1.28/1.53 Derived: impartial(c1,c2). [resolve(135,a,137,a)].
% 1.28/1.53 Derived: entity(c1,c2). [resolve(135,a,138,a)].
% 1.28/1.53 139 -relname(A,B) | relation(A,B) # label(ax11) # label(axiom). [clausify(11)].
% 1.28/1.53 140 -relation(A,B) | abstraction(A,B) # label(ax10) # label(axiom). [clausify(10)].
% 1.28/1.53 Derived: -relname(A,B) | abstraction(A,B). [resolve(139,b,140,a)].
% 1.28/1.53 141 -relname(A,B) | abstraction(A,B). [resolve(139,b,140,a)].
% 1.28/1.53 142 -forename(A,B) | relname(A,B) # label(ax12) # label(axiom). [clausify(12)].
% 1.28/1.53 Derived: abstraction(A,B) | -forename(A,B). [resolve(141,a,142,b)].
% 1.28/1.53 143 -object(A,B) | entity(A,B) # label(ax19) # label(axiom). [clausify(19)].
% 1.28/1.53 144 -entity(A,B) | thing(A,B) # label(ax18) # label(axiom). [clausify(18)].
% 1.28/1.55 Derived: -object(A,B) | thing(A,B). [resolve(143,b,144,a)].
% 1.28/1.55 145 -entity(A,B) | -forename(A,C) | -of(A,C,B) | -forename(A,D) | D = C | -of(A,D,B) # label(ax53) # label(axiom). [clausify(53)].
% 1.28/1.55 Derived: -forename(A,B) | -of(A,B,C) | -forename(A,D) | D = B | -of(A,D,C) | -object(A,C). [resolve(145,a,143,b)].
% 1.28/1.55 146 -entity(A,B) | -nonexistent(A,B). [resolve(117,b,118,a)].
% 1.28/1.55 Derived: -nonexistent(A,B) | -object(A,B). [resolve(146,a,143,b)].
% 1.28/1.55 147 -entity(A,B) | -general(A,B). [resolve(124,b,125,a)].
% 1.28/1.55 Derived: -general(A,B) | -object(A,B). [resolve(147,a,143,b)].
% 1.28/1.55 148 entity(c1,c2). [resolve(135,a,138,a)].
% 1.28/1.55 Derived: thing(c1,c2). [resolve(148,a,144,a)].
% 1.28/1.55 Derived: -forename(c1,A) | -of(c1,A,c2) | -forename(c1,B) | B = A | -of(c1,B,c2). [resolve(148,a,145,a)].
% 1.28/1.55 Derived: -nonexistent(c1,c2). [resolve(148,a,146,a)].
% 1.28/1.55 Derived: -general(c1,c2). [resolve(148,a,147,a)].
% 1.28/1.55 149 -food(A,B) | substance_matter(A,B) # label(ax21) # label(axiom). [clausify(21)].
% 1.28/1.55 150 -substance_matter(A,B) | object(A,B) # label(ax20) # label(axiom). [clausify(20)].
% 1.28/1.55 Derived: -food(A,B) | object(A,B). [resolve(149,b,150,a)].
% 1.28/1.55 151 beverage(c1,c4). [resolve(63,a,64,a)].
% 1.28/1.55 152 -beverage(A,B) | food(A,B) # label(ax22) # label(axiom). [clausify(22)].
% 1.28/1.55 Derived: food(c1,c4). [resolve(151,a,152,a)].
% 1.28/1.55 153 eventuality(c1,c5). [resolve(65,a,66,a)].
% 1.28/1.55 154 -eventuality(A,B) | nonexistent(A,B) # label(ax28) # label(axiom). [clausify(28)].
% 1.28/1.55 155 -eventuality(A,B) | thing(A,B) # label(ax30) # label(axiom). [clausify(30)].
% 1.28/1.55 Derived: nonexistent(c1,c5). [resolve(153,a,154,a)].
% 1.28/1.55 Derived: thing(c1,c5). [resolve(153,a,155,a)].
% 1.28/1.55 156 eventuality(A,B) | -act(A,B). [resolve(65,a,68,b)].
% 1.28/1.55 Derived: -act(A,B) | nonexistent(A,B). [resolve(156,a,154,a)].
% 1.28/1.55 Derived: -act(A,B) | thing(A,B). [resolve(156,a,155,a)].
% 1.28/1.55 157 -cost(A,B) | eventuality(A,B). [resolve(69,b,65,a)].
% 1.28/1.55 Derived: -cost(A,B) | nonexistent(A,B). [resolve(157,b,154,a)].
% 1.28/1.55 Derived: -cost(A,B) | thing(A,B). [resolve(157,b,155,a)].
% 1.28/1.55 158 -member(c1,A,c6) | eventuality(c1,f7(A)). [resolve(70,b,65,a)].
% 1.28/1.55 Derived: -member(c1,A,c6) | nonexistent(c1,f7(A)). [resolve(158,b,154,a)].
% 1.28/1.55 Derived: -member(c1,A,c6) | thing(c1,f7(A)). [resolve(158,b,155,a)].
% 1.28/1.55 159 eventuality(c1,c5). [resolve(78,b,77,a)].
% 1.28/1.55 160 -eventuality(A,B) | -general(A,B). [resolve(126,b,125,a)].
% 1.28/1.55 Derived: -general(c1,c5). [resolve(160,a,153,a)].
% 1.28/1.55 Derived: -general(A,B) | -act(A,B). [resolve(160,a,156,a)].
% 1.28/1.55 Derived: -general(A,B) | -cost(A,B). [resolve(160,a,157,b)].
% 1.28/1.55 Derived: -general(c1,f7(A)) | -member(c1,A,c6). [resolve(160,a,158,b)].
% 1.28/1.55 161 -eventuality(A,B) | -female(A,B). [resolve(129,b,128,a)].
% 1.28/1.55 Derived: -female(c1,c5). [resolve(161,a,153,a)].
% 1.28/1.55 Derived: -female(A,B) | -act(A,B). [resolve(161,a,156,a)].
% 1.28/1.55 Derived: -female(A,B) | -cost(A,B). [resolve(161,a,157,b)].
% 1.28/1.55 Derived: -female(c1,f7(A)) | -member(c1,A,c6). [resolve(161,a,158,b)].
% 1.28/1.55 162 set(c1,c6). [resolve(106,a,107,a)].
% 1.28/1.55 163 -set(A,B) | multiple(A,B) # label(ax34) # label(axiom). [clausify(34)].
% 1.28/1.55 Derived: multiple(c1,c6). [resolve(162,a,163,a)].
% 1.28/1.55 164 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | set(A,C). [resolve(109,q,106,a)].
% 1.28/1.55 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != V6 | multiple(A,C). [resolve(164,q,163,a)].
% 1.28/1.55 165 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | set(A,C). [resolve(110,q,106,a)].
% 1.28/1.55 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != F | multiple(A,C). [resolve(165,q,163,a)].
% 1.28/1.55 166 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | set(A,C). [resolve(111,q,106,a)].
% 1.28/1.58 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != E | multiple(A,C). [resolve(166,q,163,a)].
% 1.28/1.58 167 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | set(A,C). [resolve(112,q,106,a)].
% 1.28/1.58 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != D | multiple(A,C). [resolve(167,q,163,a)].
% 1.28/1.58 168 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | set(A,C). [resolve(113,q,106,a)].
% 1.28/1.58 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | f6(A,C,B,D,E,F,V6) != B | multiple(A,C). [resolve(168,q,163,a)].
% 1.28/1.58 169 -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | set(A,C). [resolve(114,q,106,a)].
% 1.28/1.58 Derived: -member(A,B,C) | -member(A,D,C) | D = B | -member(A,E,C) | E = D | E = B | -member(A,F,C) | F = E | F = D | F = B | -member(A,V6,C) | V6 = F | V6 = E | V6 = D | V6 = B | member(A,f6(A,C,B,D,E,F,V6),C) | multiple(A,C). [resolve(169,q,163,a)].
% 1.28/1.58 170 -possession(A,B) | abstraction(A,B) # label(ax41) # label(axiom). [clausify(41)].
% 1.28/1.58 171 -abstraction(A,B) | general(A,B) # label(ax37) # label(axiom). [clausify(37)].
% 1.28/1.58 172 -abstraction(A,B) | thing(A,B) # label(ax40) # label(axiom). [clausify(40)].
% 1.28/1.58 Derived: -possession(A,B) | general(A,B). [resolve(170,b,171,a)].
% 1.28/1.58 Derived: -possession(A,B) | thing(A,B). [resolve(170,b,172,a)].
% 1.28/1.58 173 -abstraction(A,B) | -human(A,B). [resolve(81,b,79,a)].
% 1.28/1.58 Derived: -human(A,B) | -possession(A,B). [resolve(173,a,170,b)].
% 1.28/1.58 174 -abstraction(A,B) | -female(A,B). [resolve(130,b,128,a)].
% 1.28/1.58 Derived: -female(A,B) | -possession(A,B). [resolve(174,a,170,b)].
% 1.28/1.58 175 abstraction(A,B) | -forename(A,B). [resolve(141,a,142,b)].
% 1.28/1.58 Derived: -forename(A,B) | general(A,B). [resolve(175,a,171,a)].
% 1.28/1.58 Derived: -forename(A,B) | thing(A,B). [resolve(175,a,172,a)].
% 1.28/1.58 Derived: -forename(A,B) | -human(A,B). [resolve(175,a,173,a)].
% 1.28/1.58 Derived: -forename(A,B) | -female(A,B). [resolve(175,a,174,a)].
% 1.28/1.58 176 -cash(A,B) | currency(A,B) # label(ax43) # label(axiom). [clausify(43)].
% 1.28/1.58 177 -currency(A,B) | possession(A,B) # label(ax42) # label(axiom). [clausify(42)].
% 1.28/1.58 Derived: -cash(A,B) | possession(A,B). [resolve(176,b,177,a)].
% 1.28/1.58 178 -member(c1,A,c6) | dollar(c1,A) # label(co1) # label(negated_conjecture). [clausify(57)].
% 1.28/1.58 179 -dollar(A,B) | cash(A,B) # label(ax44) # label(axiom). [clausify(44)].
% 1.28/1.58 Derived: -member(c1,A,c6) | cash(c1,A). [resolve(178,b,179,a)].
% 1.28/1.58 180 -cost(A,B) | nonexistent(A,B). [resolve(157,b,154,a)].
% 1.28/1.58 181 -member(c1,A,c6) | cost(c1,f7(A)) # label(co1) # label(negated_conjecture). [clausify(57)].
% 1.28/1.58 182 -cost(A,B) | thing(A,B). [resolve(157,b,155,a)].
% 1.28/1.58 183 -general(A,B) | -cost(A,B). [resolve(160,a,157,b)].
% 1.28/1.58 184 -female(A,B) | -cost(A,B). [resolve(161,a,157,b)].
% 1.28/1.58 185 -act(A,B) | nonexistent(A,B). [resolve(156,a,154,a)].
% 1.28/1.58 186 act(c1,c5). [resolve(76,a,77,a)].
% 1.28/1.58 Derived: nonexistent(c1,c5). [resolve(185,a,186,a)].
% 1.28/1.58 187 -act(A,B) | thing(A,B). [resolve(156,a,155,a)].
% 1.28/1.58 Derived: thing(c1,c5). [resolve(187,a,186,a)].
% 1.28/1.58 188 -general(A,B) | -act(A,B). [resolve(160,a,156,a)].
% 1.28/1.58 Derived: -general(c1,c5). [resolve(188,b,186,a)].
% 1.28/1.58 189 -female(A,B) | -act(A,B). [resolve(161,a,156,a)].
% 1.28/1.58 Derived: -female(c1,c5). [resolve(189,b,186,a)].
% 1.28/1.58 190 living(c1,c2). [resolve(135,a,136,a)].
% 1.28/1.58 191 -object(A,B) | -living(A,B). [resolve(119,b,120,a)].
% 14.87/15.15 Derived: -object(c1,c2). [resolve(190,a,191,b)].
% 14.87/15.15 192 -object(A,B) | thing(A,B). [resolve(143,b,144,a)].
% 14.87/15.15 193 -thing(A,B) | -multiple(A,B). [resolve(122,b,123,a)].
% 14.87/15.15 Derived: -object(A,B) | -multiple(A,B). [resolve(192,b,193,a)].
% 14.87/15.15 194 thing(c1,c2). [resolve(148,a,144,a)].
% 14.87/15.15 Derived: -multiple(c1,c2). [resolve(194,a,193,a)].
% 14.87/15.15 195 thing(c1,c5). [resolve(153,a,155,a)].
% 14.87/15.15 Derived: -multiple(c1,c5). [resolve(195,a,193,a)].
% 14.87/15.15 196 -member(c1,A,c6) | thing(c1,f7(A)). [resolve(158,b,155,a)].
% 14.87/15.15 Derived: -member(c1,A,c6) | -multiple(c1,f7(A)). [resolve(196,b,193,a)].
% 14.87/15.15 197 -possession(A,B) | thing(A,B). [resolve(170,b,172,a)].
% 14.87/15.15 Derived: -possession(A,B) | -multiple(A,B). [resolve(197,b,193,a)].
% 14.87/15.15 198 -forename(A,B) | thing(A,B). [resolve(175,a,172,a)].
% 14.87/15.15 Derived: -forename(A,B) | -multiple(A,B). [resolve(198,b,193,a)].
% 14.87/15.15 199 thing(c1,c5). [resolve(187,a,186,a)].
% 14.87/15.15 200 food(c1,c4). [resolve(151,a,152,a)].
% 14.87/15.15 201 -food(A,B) | object(A,B). [resolve(149,b,150,a)].
% 14.87/15.15 Derived: object(c1,c4). [resolve(200,a,201,a)].
% 14.87/15.15 202 -cash(A,B) | possession(A,B). [resolve(176,b,177,a)].
% 14.87/15.15 203 -possession(A,B) | general(A,B). [resolve(170,b,171,a)].
% 14.87/15.15 204 -human(A,B) | -possession(A,B). [resolve(173,a,170,b)].
% 14.87/15.15 205 -female(A,B) | -possession(A,B). [resolve(174,a,170,b)].
% 14.87/15.15 Derived: -cash(A,B) | general(A,B). [resolve(202,b,203,a)].
% 14.87/15.15 Derived: -cash(A,B) | -human(A,B). [resolve(202,b,204,b)].
% 14.87/15.15 Derived: -cash(A,B) | -female(A,B). [resolve(202,b,205,b)].
% 14.87/15.15 206 -possession(A,B) | -multiple(A,B). [resolve(197,b,193,a)].
% 14.87/15.15 Derived: -multiple(A,B) | -cash(A,B). [resolve(206,a,202,b)].
% 14.87/15.15 207 -cash(A,B) | general(A,B). [resolve(202,b,203,a)].
% 14.87/15.15 208 -member(c1,A,c6) | cash(c1,A). [resolve(178,b,179,a)].
% 14.87/15.15 Derived: general(c1,A) | -member(c1,A,c6). [resolve(207,a,208,b)].
% 14.87/15.15 209 -cash(A,B) | -human(A,B). [resolve(202,b,204,b)].
% 14.87/15.15 Derived: -human(c1,A) | -member(c1,A,c6). [resolve(209,a,208,b)].
% 14.87/15.15 210 -cash(A,B) | -female(A,B). [resolve(202,b,205,b)].
% 14.87/15.15 Derived: -female(c1,A) | -member(c1,A,c6). [resolve(210,a,208,b)].
% 14.87/15.15 211 -multiple(A,B) | -cash(A,B). [resolve(206,a,202,b)].
% 14.87/15.15 Derived: -multiple(c1,A) | -member(c1,A,c6). [resolve(211,b,208,b)].
% 14.87/15.15
% 14.87/15.15 ============================== end predicate elimination =============
% 14.87/15.15
% 14.87/15.15 Auto_denials: (non-Horn, no changes).
% 14.87/15.15
% 14.87/15.15 Term ordering decisions:
% 14.87/15.15
% 14.87/15.15 % Assigning unary symbol f7 kb_weight 0 and highest precedence (26).
% 14.87/15.15 Function symbol KB weights: c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=0.
% 14.87/15.15
% 14.87/15.15 ============================== end of process initial clauses ========
% 14.87/15.15
% 14.87/15.15 ============================== CLAUSES FOR SEARCH ====================
% 14.87/15.15
% 14.87/15.15 ============================== end of clauses for search =============
% 14.87/15.15
% 14.87/15.15 ============================== SEARCH ================================
% 14.87/15.15
% 14.87/15.15 % Starting search at 11.15 seconds.
% 14.87/15.15
% 14.87/15.15 Low Water (keep): wt=7.000, iters=2147483647
% 14.87/15.15
% 14.87/15.15 Low Water (keep): wt=6.000, iters=2147483647
% 14.87/15.15
% 14.87/15.15 Low Water (keep): wt=3.000, iters=2147483647
% 14.87/15.15
% 14.87/15.15 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 11.37 sec).
% 14.87/15.15
% 14.87/15.15 ============================== STATISTICS ============================
% 14.87/15.15
% 14.87/15.15 Given=4210. Generated=202982. Kept=4210. proofs=0.
% 14.87/15.15 Usable=4210. Sos=0. Demods=0. Limbo=0, Disabled=322. Hints=0.
% 14.87/15.15 Megabytes=9.73.
% 14.87/15.15 User_CPU=14.01, System_CPU=0.12, Wall_clock=14.
% 14.87/15.15
% 14.87/15.15 ============================== end of statistics =====================
% 14.87/15.15
% 14.87/15.15 ============================== end of search =========================
% 14.87/15.15
% 14.87/15.15 SEARCH FAILED
% 14.87/15.15
% 14.87/15.15 Exiting with failure.
% 14.87/15.15
% 14.87/15.15 Process 18556 exit (sos_empty) Thu Jun 30 18:48:37 2022
% 14.87/15.15 Prover9 interrupted
%------------------------------------------------------------------------------