0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n008.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 180 0.12/0.33 % DateTime : Thu Aug 29 10:16:23 EDT 2019 0.12/0.33 % CPUTime : 0.42/1.01 ============================== Prover9 =============================== 0.42/1.01 Prover9 (32) version 2009-11A, November 2009. 0.42/1.01 Process 13863 was started by sandbox on n008.cluster.edu, 0.42/1.01 Thu Aug 29 10:16:24 2019 0.42/1.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_13710_n008.cluster.edu". 0.42/1.01 ============================== end of head =========================== 0.42/1.01 0.42/1.01 ============================== INPUT ================================= 0.42/1.01 0.42/1.01 % Reading from file /tmp/Prover9_13710_n008.cluster.edu 0.42/1.01 0.42/1.01 set(prolog_style_variables). 0.42/1.01 set(auto2). 0.42/1.01 % set(auto2) -> set(auto). 0.42/1.01 % set(auto) -> set(auto_inference). 0.42/1.01 % set(auto) -> set(auto_setup). 0.42/1.01 % set(auto_setup) -> set(predicate_elim). 0.42/1.01 % set(auto_setup) -> assign(eq_defs, unfold). 0.42/1.01 % set(auto) -> set(auto_limits). 0.42/1.01 % set(auto_limits) -> assign(max_weight, "100.000"). 0.42/1.01 % set(auto_limits) -> assign(sos_limit, 20000). 0.42/1.01 % set(auto) -> set(auto_denials). 0.42/1.01 % set(auto) -> set(auto_process). 0.42/1.01 % set(auto2) -> assign(new_constants, 1). 0.42/1.01 % set(auto2) -> assign(fold_denial_max, 3). 0.42/1.01 % set(auto2) -> assign(max_weight, "200.000"). 0.42/1.01 % set(auto2) -> assign(max_hours, 1). 0.42/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.42/1.01 % set(auto2) -> assign(max_seconds, 0). 0.42/1.01 % set(auto2) -> assign(max_minutes, 5). 0.42/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.42/1.01 % set(auto2) -> set(sort_initial_sos). 0.42/1.01 % set(auto2) -> assign(sos_limit, -1). 0.42/1.01 % set(auto2) -> assign(lrs_ticks, 3000). 0.42/1.01 % set(auto2) -> assign(max_megs, 400). 0.42/1.01 % set(auto2) -> assign(stats, some). 0.42/1.01 % set(auto2) -> clear(echo_input). 0.42/1.01 % set(auto2) -> set(quiet). 0.42/1.01 % set(auto2) -> clear(print_initial_clauses). 0.42/1.01 % set(auto2) -> clear(print_given). 0.42/1.01 assign(lrs_ticks,-1). 0.42/1.01 assign(sos_limit,10000). 0.42/1.01 assign(order,kbo). 0.42/1.01 set(lex_order_vars). 0.42/1.01 clear(print_given). 0.42/1.01 0.42/1.01 % formulas(sos). % not echoed (67 formulas) 0.42/1.01 0.42/1.01 ============================== end of input ========================== 0.42/1.01 0.42/1.01 % From the command line: assign(max_seconds, 180). 0.42/1.01 0.42/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.42/1.01 0.42/1.01 % Formulas that are not ordinary clauses: 0.42/1.01 1 (all X all Y (Y != X <-> m_NotNorm(Y) != m_NotNorm(X))) # label(axiom_28) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 2 (all X (pidElem(X) <-> (exists Y (m_Halt(Y) = X | m_Down(Y) = X)))) # label(axiom_48) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 3 (all X all Y (Y != X <-> m_Ldr(Y) != m_Ldr(X))) # label(axiom_29) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 4 (all X all Y (m_Down(Y) != m_Down(X) <-> X != Y)) # label(axiom_30) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 5 (all Pid all Pid2 (host(Pid) != host(Pid2) -> Pid2 != Pid)) # label(axiom_33) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 6 (all X all Y all Q snoc(cons(X,Q),Y) = cons(X,snoc(Q,Y))) # label(axiom_44) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 7 (all X all Y m_Halt(Y) != m_NotNorm(X)) # label(axiom_16) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 8 (all X all Y (Y != X <-> m_NormQ(X) != m_NormQ(Y))) # label(axiom_27) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 9 (all X -setIn(X,setEmpty)) # label(axiom_65) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 10 (all X all Y m_NotNorm(Y) != m_Ldr(X)) # label(axiom_24) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 11 (all X all Y all Z m_Ack(X,Y) != m_Halt(Z)) # label(axiom_11) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 12 (all X all Y m_Down(X) != m_Ldr(Y)) # label(axiom_18) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 13 (all X all Y (leq(Y,X) & leq(X,Y) <-> Y = X)) # label(axiom_61) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 14 (all X snoc(q_nil,X) = cons(X,q_nil)) # label(axiom_43) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 15 (all Q all X all Y (ordered(Q) -> ordered(snoc(Q,m_Ack(X,Y))))) # label(axiom_55) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 16 (all X all Y m_Ldr(X) != m_Halt(Y)) # label(axiom_22) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 17 (all Y all Q init(snoc(Q,Y)) = Q) # label(axiom_38) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 18 (all Y all Q q_nil != snoc(Q,Y)) # label(axiom_42) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 19 (all X all Y all Z m_Ack(X,Y) != m_NormQ(Z)) # label(axiom_15) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 20 (all X all Y (leq(Y,X) | leq(X,Y))) # label(axiom_60) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 21 (all X all Q ((all Y (host(pidMsg(Y)) = host(pidMsg(X)) & pidElem(Y) & pidElem(X) & elem(Y,Q) -> leq(pidMsg(Y),pidMsg(X)))) & ordered(Q) <-> ordered(snoc(Q,X)))) # label(axiom_54) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 22 (all X X = pidMsg(m_Down(X))) # label(axiom_50) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 23 (all X all Y m_Ldr(X) != m_NormQ(Y)) # label(axiom_23) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 24 (all Q (Q = cons(head(Q),tail(Q)) | q_nil = Q)) # label(axiom_39) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 25 (all X all Y all Z m_NotNorm(Z) != m_Ack(X,Y)) # label(axiom_13) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 26 (all X all Y all Q (X = Y | elem(X,Q) <-> elem(X,cons(Y,Q)))) # label(axiom_46) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 27 (all X all Y (X = s(Y) | leq(X,Y) <-> leq(X,s(Y)))) # label(axiom_64) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 28 (all P all Q (s(host(P)) = host(Q) -> host(Q) != host(P))) # label(axiom_01) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 29 (all X all Q q_nil != cons(X,Q)) # label(axiom_41) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 30 (all X all Y all Z (leq(X,Y) & leq(Y,Z) -> leq(X,Z))) # label(axiom_62) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 31 (all X all Q Q = tail(cons(X,Q))) # label(axiom_36) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 32 (all X all Y m_NormQ(X) != m_NotNorm(Y)) # label(axiom_25) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 33 (all X all Y all Z m_Ack(X,Y) != m_Ldr(Z)) # label(axiom_14) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 34 (all X all Y m_Halt(Y) != m_NormQ(X)) # label(axiom_21) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 35 (all X all Y m_NotNorm(Y) != m_Down(X)) # label(axiom_19) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 36 (all X1 all X2 all Y1 all Y2 (Y1 != Y2 -> m_Ack(X1,Y1) != m_Ack(X2,Y2))) # label(axiom_32) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 37 (all Q (q_nil = Q | Q = snoc(init(Q),last(Q)))) # label(axiom_40) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 38 (all Q all X all Y (host(X) = host(Y) & elem(m_Down(Y),Q) & ordered(cons(m_Halt(X),Q)) -> leq(X,Y))) # label(axiom_57) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 39 (all Q all X (ordered(Q) -> ordered(snoc(Q,m_Ldr(X))))) # label(axiom_56) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 40 (all X all Q head(cons(X,Q)) = X) # label(axiom_35) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 41 (all X all Y (leq(s(X),s(Y)) <-> leq(X,Y))) # label(axiom_63) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 42 (all X all Y all Q (X = Y | elem(X,Q) <-> elem(X,snoc(Q,Y)))) # label(axiom_47) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 43 (all X all Q (ordered(cons(X,Q)) <-> (all Y (elem(Y,Q) & pidElem(X) & pidElem(Y) & host(pidMsg(Y)) = host(pidMsg(X)) -> leq(pidMsg(X),pidMsg(Y)))) & ordered(Q))) # label(axiom_53) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 44 (all X1 all X2 all Y1 all Y2 (X1 != X2 -> m_Ack(X2,Y2) != m_Ack(X1,Y1))) # label(axiom_31) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 45 (all Pid all Pid2 (elem(m_Ack(Pid,Pid2),queue(host(Pid))) -> setIn(Pid2,pids) & setIn(Pid,pids))) # label(axiom) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 46 (all X all Y m_Down(X) != m_NormQ(Y)) # label(axiom_20) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 47 (all X -leq(s(X),X)) # label(axiom_58) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 48 (all P leq(s(zero),host(P))) # label(axiom_02) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 49 (all X leq(X,X)) # label(axiom_59) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 50 (all X X = pidMsg(m_Halt(X))) # label(axiom_49) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 51 (all X all Y m_Halt(Y) != m_Down(X)) # label(axiom_17) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 52 (all P leq(host(P),nbr_proc)) # label(axiom_04) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 53 (all Y all Q last(snoc(Q,Y)) = Y) # label(axiom_37) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 54 (all X all Y all Z m_Ack(X,Y) != m_Down(Z)) # label(axiom_12) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 55 (all X (ordered(snoc(q_nil,X)) & ordered(cons(X,q_nil)))) # label(axiom_52) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 56 (all X -elem(X,q_nil)) # label(axiom_45) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 57 (all X all Y (m_Halt(Y) != m_Halt(X) <-> X != Y)) # label(axiom_26) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 58 -(all V all W all X all Y ((all Z all Pid0 (elem(m_Down(Pid0),queue(host(Z))) -> host(Z) != host(Pid0))) & (all Z all Pid0 (elem(m_Halt(Pid0),queue(host(Z))) -> -leq(host(Z),host(Pid0)))) & (all Z all Pid0 (setIn(Pid0,alive) & elem(m_Ack(Pid0,Z),queue(host(Pid0))) -> leq(host(Z),index(pendack,host(Pid0))))) & (all Z all Pid0 (elec_1 = index(status,host(Pid0)) & setIn(Pid0,alive) -> -elem(m_Ack(Pid0,Z),queue(host(Pid0))))) & (all Z all Pid30 all Pid20 all Pid0 (elem(m_Down(Pid20),queue(host(Pid0))) & host(Pid20) = s(index(pendack,host(Pid0))) & index(pendack,host(Pid0)) = host(Pid30) & elec_2 = index(status,host(Pid0)) & leq(nbr_proc,s(index(pendack,host(Pid0)))) & elem(m_Ack(Pid0,Pid30),queue(host(Pid0))) & setIn(Pid0,alive) -> -(setIn(Z,alive) & index(status,host(Z)) = norm & host(Z) = index(ldr,host(Z))))) & queue(host(X)) = cons(m_Ack(W,Y),V) & (all Z all Pid30 all Pid20 all Pid0 (elem(m_Down(Pid20),queue(host(Pid0))) & host(Pid0) = nbr_proc & host(Pid30) = host(Pid0) & index(status,host(Pid0)) = elec_1 & (all V0 (-leq(host(Pid0),V0) & leq(s(zero),V0) -> setIn(V0,index(down,host(Pid0))) | host(Pid20) = V0)) -> -(setIn(Z,alive) & elem(m_Down(Pid30),queue(host(Z)))))) & (all Z all Pid20 all Pid0 (setIn(Pid0,alive) & elem(m_Halt(Pid0),queue(host(Pid20))) & index(status,host(Pid0)) = elec_2 & -leq(index(pendack,host(Pid0)),host(Z)) -> -(setIn(Z,alive) & host(Z) = index(ldr,host(Z)) & norm = index(status,host(Z))))) & (all Z all Pid0 (setIn(Z,alive) & elec_2 = index(status,host(Z)) & index(status,host(Pid0)) = elec_2 & setIn(Pid0,alive) & -leq(host(Z),host(Pid0)) -> -leq(index(pendack,host(Z)),index(pendack,host(Pid0))))) & (all Z all Pid20 all Pid0 (setIn(Z,alive) & elec_2 = index(status,host(Pid0)) & elec_2 = index(status,host(Z)) & host(Pid20) = host(Pid0) & setIn(Pid0,alive) -> -elem(m_Ack(Z,Pid20),queue(host(Z))))) & (all Z all Pid0 (-leq(host(Z),host(Pid0)) & setIn(Pid0,alive) & elec_2 = index(status,host(Pid0)) & index(status,host(Z)) = elec_2 & setIn(Z,alive) -> leq(index(pendack,host(Pid0)),host(Z)))) & (all Z all Pid20 all Pid0 (elem(m_Down(Pid20),queue(host(Pid0))) & host(Z) = host(Pid20) & setIn(Pid0,alive) -> -(setIn(Z,alive) & norm = index(status,host(Z)) & host(Z) = index(ldr,host(Z))))) & (all Z (setIn(Z,alive) & (elec_1 = index(status,host(Z)) | index(status,host(Z)) = elec_2) -> index(elid,host(Z)) = Z)) & (all Z all Pid0 (host(Z) = host(Pid0) & Pid0 != Z -> -setIn(Pid0,alive) | -setIn(Z,alive))) & (all Z all Pid20 all Pid0 (elem(m_Ack(Pid0,Z),queue(host(Pid20))) -> -leq(host(Z),host(Pid0)))) & (all Z all Pid0 (elem(m_Ldr(Pid0),queue(host(Z))) -> -leq(host(Z),host(Pid0)))) -> (setIn(X,alive) -> (index(status,host(X)) = elec_2 & host(Y) = index(pendack,host(X)) & W = index(elid,host(X)) -> (-leq(nbr_proc,index(pendack,host(X))) -> (all Z all W0 all X0 all Y0 (host(Y0) = s(index(pendack,host(X))) -> (host(Y0) != host(X) -> (leq(nbr_proc,s(index(pendack,host(Y0)))) & index(pendack,host(Y0)) = host(W0) & host(X0) = s(index(pendack,host(Y0))) & elec_2 = index(status,host(Y0)) & elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Halt(X))) & elem(m_Down(X0),snoc(queue(host(Y0)),m_Halt(X))) & setIn(Y0,alive) -> -(setIn(Z,alive) & host(Z) = index(ldr,host(Z)) & index(status,host(Z)) = norm)))))))))) # label(conj) # label(negated_conjecture) # label(non_clause). [assumption]. 0.72/1.12 0.72/1.12 ============================== end of process non-clausal formulas === 0.72/1.12 0.72/1.12 ============================== PROCESS INITIAL CLAUSES =============== 0.72/1.12 0.72/1.12 ============================== PREDICATE ELIMINATION ================= 0.72/1.12 0.72/1.12 ============================== end predicate elimination ============= 0.72/1.12 0.72/1.12 Auto_denials: (non-Horn, no changes). 0.72/1.12 0.72/1.12 Term ordering decisions: 0.72/1.12 Function symbol KB weights: alive=1. status=1. pendack=1. elec_2=1. q_nil=1. nbr_proc=1. elid=1. zero=1. elec_1=1. ldr=1. norm=1. pids=1. down=1. nil=1. setEmpty=1. wait=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. index=1. snoc=1. cons=1. m_Ack=1. f2=1. f3=1. host=1. pidMsg=1. s=1. m_Down=1. m_Halt=1. queue=1. m_Ldr=1. m_NormQ=1. m_NotNorm=1. head=1. init=1. last=1. tail=1. f1=1. f4=1. 0.72/1.12 0.72/1.12 ============================== end of process initial clauses ======== 0.72/1.12 0.72/1.12 ============================== CLAUSES FOR SEARCH ==================== 0.72/1.12 0.72/1.12 ============================== end of clauses for search ============= 0.72/1.12 0.72/1.12 ============================== SEARCH ================================ 0.72/1.12 0.72/1.12 % Starting search at 0.04 seconds. 0.72/1.12 0.72/1.12 ============================== PROOF ================================= 0.72/1.12 % SZS status Theorem 0.72/1.12 % SZS output start Refutation 0.72/1.12 0.72/1.12 % Proof 1 at 0.13 (+ 0.00) seconds. 0.72/1.12 % Length of proof is 46. 0.72/1.12 % Level of proof is 9. 0.72/1.12 % Maximum clause weight is 66.000. 0.72/1.12 % Given clauses 265. 0.72/1.12 0.72/1.12 11 (all X all Y all Z m_Ack(X,Y) != m_Halt(Z)) # label(axiom_11) # label(axiom) # label(non_clause). [assumption]. 0.72/1.12 13 (all X all Y (leq(Y,X) & leq(X,Y) <-> Y = X)) # label(axiom_61) # label(axiom) # label(non_clause). [assumption]. 0.72/1.12 42 (all X all Y all Q (X = Y | elem(X,Q) <-> elem(X,snoc(Q,Y)))) # label(axiom_47) # label(axiom) # label(non_clause). [assumption]. 0.72/1.12 49 (all X leq(X,X)) # label(axiom_59) # label(axiom) # label(non_clause). [assumption]. 0.72/1.12 51 (all X all Y m_Halt(Y) != m_Down(X)) # label(axiom_17) # label(axiom) # label(non_clause). [assumption]. 0.72/1.12 52 (all P leq(host(P),nbr_proc)) # label(axiom_04) # label(axiom) # label(non_clause). [assumption]. 0.72/1.12 58 -(all V all W all X all Y ((all Z all Pid0 (elem(m_Down(Pid0),queue(host(Z))) -> host(Z) != host(Pid0))) & (all Z all Pid0 (elem(m_Halt(Pid0),queue(host(Z))) -> -leq(host(Z),host(Pid0)))) & (all Z all Pid0 (setIn(Pid0,alive) & elem(m_Ack(Pid0,Z),queue(host(Pid0))) -> leq(host(Z),index(pendack,host(Pid0))))) & (all Z all Pid0 (elec_1 = index(status,host(Pid0)) & setIn(Pid0,alive) -> -elem(m_Ack(Pid0,Z),queue(host(Pid0))))) & (all Z all Pid30 all Pid20 all Pid0 (elem(m_Down(Pid20),queue(host(Pid0))) & host(Pid20) = s(index(pendack,host(Pid0))) & index(pendack,host(Pid0)) = host(Pid30) & elec_2 = index(status,host(Pid0)) & leq(nbr_proc,s(index(pendack,host(Pid0)))) & elem(m_Ack(Pid0,Pid30),queue(host(Pid0))) & setIn(Pid0,alive) -> -(setIn(Z,alive) & index(status,host(Z)) = norm & host(Z) = index(ldr,host(Z))))) & queue(host(X)) = cons(m_Ack(W,Y),V) & (all Z all Pid30 all Pid20 all Pid0 (elem(m_Down(Pid20),queue(host(Pid0))) & host(Pid0) = nbr_proc & host(Pid30) = host(Pid0) & index(status,host(Pid0)) = elec_1 & (all V0 (-leq(host(Pid0),V0) & leq(s(zero),V0) -> setIn(V0,index(down,host(Pid0))) | host(Pid20) = V0)) -> -(setIn(Z,alive) & elem(m_Down(Pid30),queue(host(Z)))))) & (all Z all Pid20 all Pid0 (setIn(Pid0,alive) & elem(m_Halt(Pid0),queue(host(Pid20))) & index(status,host(Pid0)) = elec_2 & -leq(index(pendack,host(Pid0)),host(Z)) -> -(setIn(Z,alive) & host(Z) = index(ldr,host(Z)) & norm = index(status,host(Z))))) & (all Z all Pid0 (setIn(Z,alive) & elec_2 = index(status,host(Z)) & index(status,host(Pid0)) = elec_2 & setIn(Pid0,alive) & -leq(host(Z),host(Pid0)) -> -leq(index(pendack,host(Z)),index(pendack,host(Pid0))))) & (all Z all Pid20 all Pid0 (setIn(Z,alive) & elec_2 = index(status,host(Pid0)) & elec_2 = index(status,host(Z)) & host(Pid20) = host(Pid0) & setIn(Pid0,alive) -> -elem(m_Ack(Z,Pid20),queue(host(Z))))) & (all Z all Pid0 (-leq(host(Z),host(Pid0)) & setIn(Pid0,alive) & elec_2 = index(status,host(Pid0)) & index(status,host(Z)) = elec_2 & setIn(Z,alive) -> leq(index(pendack,host(Pid0)),host(Z)))) & (all Z all Pid20 all Pid0 (elem(m_Down(Pid20),queue(host(Pid0))) & host(Z) = host(Pid20) & setIn(Pid0,alive) -> -(setIn(Z,alive) & norm = index(status,host(Z)) & host(Z) = index(ldr,host(Z))))) & (all Z (setIn(Z,alive) & (elec_1 = index(status,host(Z)) | index(status,host(Z)) = elec_2) -> index(elid,host(Z)) = Z)) & (all Z all Pid0 (host(Z) = host(Pid0) & Pid0 != Z -> -setIn(Pid0,alive) | -setIn(Z,alive))) & (all Z all Pid20 all Pid0 (elem(m_Ack(Pid0,Z),queue(host(Pid20))) -> -leq(host(Z),host(Pid0)))) & (all Z all Pid0 (elem(m_Ldr(Pid0),queue(host(Z))) -> -leq(host(Z),host(Pid0)))) -> (setIn(X,alive) -> (index(status,host(X)) = elec_2 & host(Y) = index(pendack,host(X)) & W = index(elid,host(X)) -> (-leq(nbr_proc,index(pendack,host(X))) -> (all Z all W0 all X0 all Y0 (host(Y0) = s(index(pendack,host(X))) -> (host(Y0) != host(X) -> (leq(nbr_proc,s(index(pendack,host(Y0)))) & index(pendack,host(Y0)) = host(W0) & host(X0) = s(index(pendack,host(Y0))) & elec_2 = index(status,host(Y0)) & elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Halt(X))) & elem(m_Down(X0),snoc(queue(host(Y0)),m_Halt(X))) & setIn(Y0,alive) -> -(setIn(Z,alive) & host(Z) = index(ldr,host(Z)) & index(status,host(Z)) = norm)))))))))) # label(conj) # label(negated_conjecture) # label(non_clause). [assumption]. 0.72/1.12 76 m_Ack(A,B) != m_Halt(C) # label(axiom_11) # label(axiom). [clausify(11)]. 0.72/1.12 78 -leq(A,B) | -leq(B,A) | A = B # label(axiom_61) # label(axiom). [clausify(13)]. 0.72/1.12 127 A = B | elem(B,C) | -elem(B,snoc(C,A)) # label(axiom_47) # label(axiom). [clausify(42)]. 0.72/1.12 142 leq(A,A) # label(axiom_59) # label(axiom). [clausify(49)]. 0.72/1.12 149 m_Down(A) != m_Halt(B) # label(axiom_17) # label(axiom). [clausify(51)]. 0.72/1.12 150 leq(host(A),nbr_proc) # label(axiom_04) # label(axiom). [clausify(52)]. 0.72/1.12 162 -elem(m_Down(A),queue(host(B))) | s(index(pendack,host(B))) != host(A) | index(pendack,host(B)) != host(C) | index(status,host(B)) != elec_2 | -leq(nbr_proc,s(index(pendack,host(B)))) | -elem(m_Ack(B,C),queue(host(B))) | -setIn(B,alive) | -setIn(D,alive) | index(status,host(D)) != norm | index(ldr,host(D)) != host(D) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 176 -setIn(A,alive) | index(status,host(A)) != elec_2 | index(elid,host(A)) = A # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 180 setIn(c3,alive) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 181 index(status,host(c3)) = elec_2 # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 182 elec_2 = index(status,host(c3)). [copy(181),flip(a)]. 0.72/1.12 184 index(elid,host(c3)) = c2 # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 190 leq(nbr_proc,s(index(pendack,host(c8)))) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 191 index(pendack,host(c8)) = host(c6) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 192 s(index(pendack,host(c8))) = host(c7) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 193 s(host(c6)) = host(c7). [copy(192),rewrite([191(4)])]. 0.72/1.12 194 index(status,host(c8)) = elec_2 # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 195 index(status,host(c8)) = index(status,host(c3)). [copy(194),rewrite([182(5)])]. 0.72/1.12 196 elem(m_Ack(c8,c6),snoc(queue(host(c8)),m_Halt(c3))) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 197 elem(m_Down(c7),snoc(queue(host(c8)),m_Halt(c3))) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 198 setIn(c8,alive) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 199 setIn(c5,alive) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 200 index(ldr,host(c5)) = host(c5) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 201 index(status,host(c5)) = norm # label(conj) # label(negated_conjecture). [clausify(58)]. 0.72/1.12 202 norm = index(status,host(c5)). [copy(201),flip(a)]. 0.72/1.12 206 -setIn(A,alive) | index(status,host(c3)) != index(status,host(A)) | index(elid,host(A)) = A. [back_rewrite(176),rewrite([182(6)]),flip(b)]. 0.72/1.12 211 -elem(m_Down(A),queue(host(B))) | s(index(pendack,host(B))) != host(A) | index(pendack,host(B)) != host(C) | index(status,host(c3)) != index(status,host(B)) | -leq(nbr_proc,s(index(pendack,host(B)))) | -elem(m_Ack(B,C),queue(host(B))) | -setIn(B,alive) | -setIn(D,alive) | index(status,host(c5)) != index(status,host(D)) | index(ldr,host(D)) != host(D). [back_rewrite(162),rewrite([182(19),202(41)]),flip(d),flip(i)]. 0.72/1.12 215 leq(nbr_proc,host(c7)). [back_rewrite(190),rewrite([191(5),193(4)])]. 0.72/1.12 323 elem(m_Ack(c8,c6),queue(host(c8))). [resolve(196,a,127,c),flip(a),unit_del(a,76)]. 0.72/1.12 328 elem(m_Down(c7),queue(host(c8))). [resolve(197,a,127,c),unit_del(a(flip),149)]. 0.72/1.12 346 c3 = c2. [resolve(206,a,180,a),rewrite([184(13)]),flip(b),xx(a)]. 0.72/1.12 370 -elem(m_Down(A),queue(host(B))) | s(index(pendack,host(B))) != host(A) | index(pendack,host(B)) != host(C) | index(status,host(c2)) != index(status,host(B)) | -leq(nbr_proc,s(index(pendack,host(B)))) | -elem(m_Ack(B,C),queue(host(B))) | -setIn(B,alive) | -setIn(D,alive) | index(status,host(c5)) != index(status,host(D)) | index(ldr,host(D)) != host(D). [back_rewrite(211),rewrite([346(17)])]. 0.72/1.12 381 index(status,host(c8)) = index(status,host(c2)). [back_rewrite(195),rewrite([346(6)])]. 0.72/1.12 392 host(c7) = nbr_proc. [resolve(215,a,78,b),unit_del(a,150)]. 0.72/1.12 402 s(host(c6)) = nbr_proc. [back_rewrite(193),rewrite([392(5)])]. 0.72/1.12 790 -elem(m_Down(A),queue(host(c8))) | host(A) != nbr_proc | host(c6) != host(B) | -elem(m_Ack(c8,B),queue(host(c8))) | -setIn(C,alive) | index(status,host(c5)) != index(status,host(C)) | index(ldr,host(C)) != host(C). [resolve(370,g,198,a),rewrite([191(9),402(8),191(12),381(20),191(26),402(25)]),flip(b),xx(d),unit_del(d,142)]. 0.72/1.12 808 -elem(m_Down(A),queue(host(c8))) | host(A) != nbr_proc | host(c6) != host(B) | -elem(m_Ack(c8,B),queue(host(c8))). [resolve(790,e,199,a),rewrite([200(31)]),xx(e),xx(f)]. 0.72/1.12 810 -elem(m_Down(A),queue(host(c8))) | host(A) != nbr_proc. [resolve(808,d,323,a),xx(c)]. 0.72/1.12 811 $F. [resolve(810,a,328,a),rewrite([392(2)]),xx(a)]. 0.72/1.12 0.72/1.12 % SZS output end Refutation 0.72/1.12 ============================== end of proof ========================== 0.72/1.12 0.72/1.12 ============================== STATISTICS ============================ 0.72/1.12 0.72/1.12 Given=265. Generated=2153. Kept=739. proofs=1. 0.72/1.12 Usable=241. Sos=414. Demods=29. Limbo=0, Disabled=217. Hints=0. 0.72/1.12 Megabytes=1.67. 0.72/1.12 User_CPU=0.13, System_CPU=0.00, Wall_clock=0. 0.72/1.12 0.72/1.12 ============================== end of statistics ===================== 0.72/1.12 0.72/1.12 ============================== end of search ========================= 0.72/1.12 0.72/1.12 THEOREM PROVED 0.72/1.12 % SZS status Theorem 0.72/1.12 0.72/1.12 Exiting with 1 proof. 0.72/1.12 0.72/1.12 Process 13863 exit (max_proofs) Thu Aug 29 10:16:24 2019 0.72/1.12 Prover9 interrupted 0.72/1.13 EOF