0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : tptp2X_and_run_prover9 %d %s 0.02/0.24 % Computer : n181.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 05:24:54 CDT 2018 0.02/0.24 % CPUTime : 0.07/0.50 ============================== Prover9 =============================== 0.07/0.50 Prover9 (32) version 2009-11A, November 2009. 0.07/0.50 Process 25527 was started by sandbox2 on n181.star.cs.uiowa.edu, 0.07/0.50 Sat Jul 14 05:24:55 2018 0.07/0.50 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_25495_n181.star.cs.uiowa.edu". 0.07/0.50 ============================== end of head =========================== 0.07/0.50 0.07/0.50 ============================== INPUT ================================= 0.07/0.50 0.07/0.50 % Reading from file /tmp/Prover9_25495_n181.star.cs.uiowa.edu 0.07/0.50 0.07/0.50 set(prolog_style_variables). 0.07/0.50 set(auto2). 0.07/0.50 % set(auto2) -> set(auto). 0.07/0.50 % set(auto) -> set(auto_inference). 0.07/0.50 % set(auto) -> set(auto_setup). 0.07/0.50 % set(auto_setup) -> set(predicate_elim). 0.07/0.50 % set(auto_setup) -> assign(eq_defs, unfold). 0.07/0.50 % set(auto) -> set(auto_limits). 0.07/0.50 % set(auto_limits) -> assign(max_weight, "100.000"). 0.07/0.50 % set(auto_limits) -> assign(sos_limit, 20000). 0.07/0.50 % set(auto) -> set(auto_denials). 0.07/0.50 % set(auto) -> set(auto_process). 0.07/0.50 % set(auto2) -> assign(new_constants, 1). 0.07/0.50 % set(auto2) -> assign(fold_denial_max, 3). 0.07/0.50 % set(auto2) -> assign(max_weight, "200.000"). 0.07/0.50 % set(auto2) -> assign(max_hours, 1). 0.07/0.50 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.07/0.50 % set(auto2) -> assign(max_seconds, 0). 0.07/0.50 % set(auto2) -> assign(max_minutes, 5). 0.07/0.50 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.07/0.50 % set(auto2) -> set(sort_initial_sos). 0.07/0.50 % set(auto2) -> assign(sos_limit, -1). 0.07/0.50 % set(auto2) -> assign(lrs_ticks, 3000). 0.07/0.50 % set(auto2) -> assign(max_megs, 400). 0.07/0.50 % set(auto2) -> assign(stats, some). 0.07/0.50 % set(auto2) -> clear(echo_input). 0.07/0.50 % set(auto2) -> set(quiet). 0.07/0.50 % set(auto2) -> clear(print_initial_clauses). 0.07/0.50 % set(auto2) -> clear(print_given). 0.07/0.50 assign(lrs_ticks,-1). 0.07/0.50 assign(sos_limit,10000). 0.07/0.50 assign(order,kbo). 0.07/0.50 set(lex_order_vars). 0.07/0.50 clear(print_given). 0.07/0.50 0.07/0.50 % formulas(sos). % not echoed (67 formulas) 0.07/0.50 0.07/0.50 ============================== end of input ========================== 0.07/0.50 0.07/0.50 % From the command line: assign(max_seconds, 300). 0.07/0.50 0.07/0.50 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.07/0.50 0.07/0.50 % Formulas that are not ordinary clauses: 0.07/0.50 1 (all X all Y (s(Y) = X | leq(X,Y) <-> leq(X,s(Y)))) # label(axiom_64) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 2 (all X pidMsg(m_Halt(X)) = X) # label(axiom_49) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 3 (all Q all X all Y (ordered(Q) -> ordered(snoc(Q,m_Ack(X,Y))))) # label(axiom_55) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 4 (all X all Y all Z m_Ack(X,Y) != m_NormQ(Z)) # label(axiom_15) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 5 (all X all Y all Z m_Ack(X,Y) != m_Ldr(Z)) # label(axiom_14) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 6 (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]. 0.07/0.50 7 (all X all Y all Q (elem(X,snoc(Q,Y)) <-> elem(X,Q) | Y = X)) # label(axiom_47) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 8 (all X ((exists Y (m_Down(Y) = X | X = m_Halt(Y))) <-> pidElem(X))) # label(axiom_48) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 9 (all X all Y m_Down(X) != m_NotNorm(Y)) # label(axiom_19) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 10 (all X all Y m_NormQ(X) != m_Halt(Y)) # label(axiom_21) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 11 (all X all Y m_Halt(Y) != m_Ldr(X)) # label(axiom_22) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 12 (all X all Q q_nil != cons(X,Q)) # label(axiom_41) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 13 (all Pid all Pid2 (elem(m_Ack(Pid,Pid2),queue(host(Pid))) -> setIn(Pid,pids) & setIn(Pid2,pids))) # label(axiom) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 14 (all X all Y all Z m_Ack(X,Y) != m_Halt(Z)) # label(axiom_11) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 15 (all X -leq(s(X),X)) # label(axiom_58) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 16 (all X all Y m_Halt(Y) != m_NotNorm(X)) # label(axiom_16) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 17 (all X all Q (ordered(snoc(Q,X)) <-> (all Y (elem(Y,Q) & host(pidMsg(Y)) = host(pidMsg(X)) & pidElem(Y) & pidElem(X) -> leq(pidMsg(Y),pidMsg(X)))) & ordered(Q))) # label(axiom_54) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 18 (all X all Y (X != Y <-> m_NormQ(X) != m_NormQ(Y))) # label(axiom_27) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 19 (all X all Y all Z m_Ack(X,Y) != m_NotNorm(Z)) # label(axiom_13) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 20 (all X all Y m_Down(X) != m_Halt(Y)) # label(axiom_17) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 21 (all X all Y m_NormQ(X) != m_NotNorm(Y)) # label(axiom_25) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 22 (all X1 all X2 all Y1 all Y2 (X1 != X2 -> m_Ack(X1,Y1) != m_Ack(X2,Y2))) # label(axiom_31) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 23 (all X (ordered(snoc(q_nil,X)) & ordered(cons(X,q_nil)))) # label(axiom_52) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 24 (all X all Q tail(cons(X,Q)) = Q) # label(axiom_36) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 25 (all X all Y (leq(X,Y) | leq(Y,X))) # label(axiom_60) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 26 (all P leq(s(zero),host(P))) # label(axiom_02) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 27 (all X1 all X2 all Y1 all Y2 (Y1 != Y2 -> m_Ack(X2,Y2) != m_Ack(X1,Y1))) # label(axiom_32) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 28 (all Y all Q Y = last(snoc(Q,Y))) # label(axiom_37) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 29 (all X -setIn(X,setEmpty)) # label(axiom_65) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 30 (all X all Q X = head(cons(X,Q))) # label(axiom_35) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 31 (all X all Y m_Down(X) != m_Ldr(Y)) # label(axiom_18) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 32 (all X all Y (leq(Y,X) & leq(X,Y) <-> Y = X)) # label(axiom_61) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 33 (all Q (q_nil = Q | Q = cons(head(Q),tail(Q)))) # label(axiom_39) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 34 (all Q (snoc(init(Q),last(Q)) = Q | q_nil = Q)) # label(axiom_40) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 35 (all X all Y all Z (leq(Y,Z) & leq(X,Y) -> leq(X,Z))) # label(axiom_62) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 36 (all X all Y (Y != X <-> m_Ldr(Y) != m_Ldr(X))) # label(axiom_29) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 37 (all Q all X (ordered(Q) -> ordered(snoc(Q,m_Ldr(X))))) # label(axiom_56) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 38 (all X leq(X,X)) # label(axiom_59) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 39 (all X all Q (ordered(cons(X,Q)) <-> (all Y (elem(Y,Q) & pidElem(Y) & host(pidMsg(Y)) = host(pidMsg(X)) & pidElem(X) -> leq(pidMsg(X),pidMsg(Y)))) & ordered(Q))) # label(axiom_53) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 40 (all X all Y all Z m_Ack(X,Y) != m_Down(Z)) # label(axiom_12) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 41 (all P leq(host(P),nbr_proc)) # label(axiom_04) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 42 (all P all Q (host(Q) = s(host(P)) -> host(Q) != host(P))) # label(axiom_01) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 43 (all Y all Q init(snoc(Q,Y)) = Q) # label(axiom_38) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 44 (all X all Y (X != Y <-> m_Down(X) != m_Down(Y))) # label(axiom_30) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 45 (all X all Y all Q (elem(X,cons(Y,Q)) <-> elem(X,Q) | X = Y)) # label(axiom_46) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 46 (all X all Y (m_Halt(X) != m_Halt(Y) <-> X != Y)) # label(axiom_26) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 47 (all X -elem(X,q_nil)) # label(axiom_45) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 48 (all Pid all Pid2 (host(Pid2) != host(Pid) -> Pid2 != Pid)) # label(axiom_33) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 49 (all X X = pidMsg(m_Down(X))) # label(axiom_50) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 50 (all X all Y m_NotNorm(Y) != m_Ldr(X)) # label(axiom_24) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 51 (all X all Y (m_NotNorm(Y) != m_NotNorm(X) <-> Y != X)) # label(axiom_28) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 52 (all X all Y m_Ldr(X) != m_NormQ(Y)) # label(axiom_23) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 53 (all X snoc(q_nil,X) = cons(X,q_nil)) # label(axiom_43) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 54 (all X all Y m_NormQ(Y) != m_Down(X)) # label(axiom_20) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 55 (all X all Y all Q cons(X,snoc(Q,Y)) = snoc(cons(X,Q),Y)) # label(axiom_44) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 56 (all X all Y (leq(s(X),s(Y)) <-> leq(X,Y))) # label(axiom_63) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 57 (all Y all Q q_nil != snoc(Q,Y)) # label(axiom_42) # label(axiom) # label(non_clause). [assumption]. 0.07/0.50 58 -(all V all W all X ((all Y all Z (elem(m_Down(Z),queue(host(Y))) -> host(Y) != host(Z))) & (all Y all Z (Z != Y & host(Z) = host(Y) -> -setIn(Z,alive) | -setIn(Y,alive))) & (all Y ((index(status,host(Y)) = elec_1 | index(status,host(Y)) = elec_2) & setIn(Y,alive) -> Y = index(elid,host(Y)))) & (all Y all Z (-leq(host(Y),host(Z)) & index(status,host(Z)) = elec_2 & elec_2 = index(status,host(Y)) & setIn(Z,alive) & setIn(Y,alive) -> leq(index(pendack,host(Z)),host(Y)))) & (all Y all Z all Pid0 (setIn(Y,alive) & host(Pid0) = host(Z) & index(status,host(Pid0)) = elec_2 & index(status,host(Y)) = elec_2 & setIn(Pid0,alive) -> -elem(m_Ack(Y,Z),queue(host(Y))))) & (all Y all Z (setIn(Y,alive) & elec_2 = index(status,host(Z)) & elec_2 = index(status,host(Y)) & setIn(Z,alive) & -leq(host(Y),host(Z)) -> -leq(index(pendack,host(Y)),index(pendack,host(Z))))) & (all Y all Z all Pid20 all Pid0 (host(Pid0) = host(Z) & host(Pid0) = nbr_proc & elec_1 = index(status,host(Pid0)) & elem(m_Down(Pid20),queue(host(Pid0))) & (all V0 (-leq(host(Pid0),V0) & leq(s(zero),V0) -> setIn(V0,index(down,host(Pid0))) | V0 = host(Pid20))) -> -(setIn(Y,alive) & elem(m_Down(Z),queue(host(Y)))))) & (all Y all Z all Pid20 all Pid0 (setIn(Pid0,alive) & elem(m_Ack(Pid0,Z),queue(host(Pid0))) & leq(nbr_proc,s(index(pendack,host(Pid0)))) & index(status,host(Pid0)) = elec_2 & host(Pid20) = s(index(pendack,host(Pid0))) & index(pendack,host(Pid0)) = host(Z) & elem(m_Down(Pid20),queue(host(Pid0))) -> -(setIn(Y,alive) & index(status,host(Y)) = norm & host(Y) = index(ldr,host(Y))))) & queue(host(X)) = cons(m_NormQ(W),V) & (all Y all Z all Pid0 (setIn(Pid0,alive) & elem(m_Halt(Pid0),queue(host(Z))) & index(status,host(Pid0)) = elec_2 & -leq(index(pendack,host(Pid0)),host(Y)) -> -(norm = index(status,host(Y)) & index(ldr,host(Y)) = host(Y) & setIn(Y,alive)))) & (all Y all Z all Pid0 (elem(m_Down(Z),queue(host(Pid0))) & host(Y) = host(Z) & setIn(Pid0,alive) -> -(index(status,host(Y)) = norm & index(ldr,host(Y)) = host(Y) & setIn(Y,alive)))) & (all Y all Z (setIn(Z,alive) & elec_1 = index(status,host(Z)) -> -elem(m_Ack(Z,Y),queue(host(Z))))) & (all Y all Z (elem(m_Ack(Z,Y),queue(host(Z))) & setIn(Z,alive) -> leq(host(Y),index(pendack,host(Z))))) & (all Y all Z all Pid0 (elem(m_Ack(Pid0,Y),queue(host(Z))) -> -leq(host(Y),host(Pid0)))) & (all Y all Z (elem(m_Halt(Z),queue(host(Y))) -> -leq(host(Y),host(Z)))) & (all Y all Z (elem(m_Ldr(Z),queue(host(Y))) -> -leq(host(Y),host(Z)))) -> (setIn(X,alive) -> (index(status,host(X)) != norm -> (all Y all Z all X0 all Y0 (host(W) = host(Y0) -> (host(X) = host(Y0) -> (elem(m_Down(X0),snoc(V,m_NotNorm(W))) & index(pendack,host(Y0)) = host(Z) & s(index(pendack,host(Y0))) = host(X0) & index(status,host(Y0)) = elec_2 & leq(nbr_proc,s(index(pendack,host(Y0)))) & elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W))) & setIn(Y0,alive) -> -(setIn(Y,alive) & index(ldr,host(Y)) = host(Y) & norm = index(status,host(Y))))))))))) # label(conj) # label(negated_conjecture) # label(non_clause). [assumption]. 0.07/0.50 0.07/0.50 ============================== end of process non-clausal formulas === 0.07/0.50 0.07/0.50 ============================== PROCESS INITIAL CLAUSES =============== 0.07/0.50 0.07/0.50 ============================== PREDICATE ELIMINATION ================= 0.07/0.56 0.07/0.56 ============================== end predicate elimination ============= 0.07/0.56 0.07/0.56 Auto_denials: (non-Horn, no changes). 0.07/0.56 0.07/0.56 Term ordering decisions: 0.07/0.56 Function symbol KB weights: alive=1. status=1. pendack=1. elec_2=1. q_nil=1. nbr_proc=1. zero=1. elec_1=1. elid=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. 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_NotNorm=1. m_Ldr=1. m_NormQ=1. head=1. init=1. last=1. tail=1. f1=1. f4=1. 0.07/0.56 0.07/0.56 ============================== end of process initial clauses ======== 0.07/0.56 0.07/0.56 ============================== CLAUSES FOR SEARCH ==================== 0.07/0.56 0.07/0.56 ============================== end of clauses for search ============= 0.07/0.56 0.07/0.56 ============================== SEARCH ================================ 0.07/0.56 0.07/0.56 % Starting search at 0.02 seconds. 0.07/0.56 0.07/0.56 ============================== PROOF ================================= 0.07/0.56 % SZS status Theorem 0.07/0.56 % SZS output start Refutation 0.07/0.56 0.07/0.56 % Proof 1 at 0.07 (+ 0.00) seconds. 0.07/0.56 % Length of proof is 56. 0.07/0.56 % Level of proof is 10. 0.07/0.56 % Maximum clause weight is 66.000. 0.07/0.56 % Given clauses 271. 0.07/0.56 0.07/0.56 7 (all X all Y all Q (elem(X,snoc(Q,Y)) <-> elem(X,Q) | Y = X)) # label(axiom_47) # label(axiom) # label(non_clause). [assumption]. 0.07/0.56 9 (all X all Y m_Down(X) != m_NotNorm(Y)) # label(axiom_19) # label(axiom) # label(non_clause). [assumption]. 0.07/0.56 19 (all X all Y all Z m_Ack(X,Y) != m_NotNorm(Z)) # label(axiom_13) # label(axiom) # label(non_clause). [assumption]. 0.07/0.56 32 (all X all Y (leq(Y,X) & leq(X,Y) <-> Y = X)) # label(axiom_61) # label(axiom) # label(non_clause). [assumption]. 0.07/0.56 38 (all X leq(X,X)) # label(axiom_59) # label(axiom) # label(non_clause). [assumption]. 0.07/0.56 41 (all P leq(host(P),nbr_proc)) # label(axiom_04) # label(axiom) # label(non_clause). [assumption]. 0.07/0.56 45 (all X all Y all Q (elem(X,cons(Y,Q)) <-> elem(X,Q) | X = Y)) # label(axiom_46) # label(axiom) # label(non_clause). [assumption]. 0.07/0.56 58 -(all V all W all X ((all Y all Z (elem(m_Down(Z),queue(host(Y))) -> host(Y) != host(Z))) & (all Y all Z (Z != Y & host(Z) = host(Y) -> -setIn(Z,alive) | -setIn(Y,alive))) & (all Y ((index(status,host(Y)) = elec_1 | index(status,host(Y)) = elec_2) & setIn(Y,alive) -> Y = index(elid,host(Y)))) & (all Y all Z (-leq(host(Y),host(Z)) & index(status,host(Z)) = elec_2 & elec_2 = index(status,host(Y)) & setIn(Z,alive) & setIn(Y,alive) -> leq(index(pendack,host(Z)),host(Y)))) & (all Y all Z all Pid0 (setIn(Y,alive) & host(Pid0) = host(Z) & index(status,host(Pid0)) = elec_2 & index(status,host(Y)) = elec_2 & setIn(Pid0,alive) -> -elem(m_Ack(Y,Z),queue(host(Y))))) & (all Y all Z (setIn(Y,alive) & elec_2 = index(status,host(Z)) & elec_2 = index(status,host(Y)) & setIn(Z,alive) & -leq(host(Y),host(Z)) -> -leq(index(pendack,host(Y)),index(pendack,host(Z))))) & (all Y all Z all Pid20 all Pid0 (host(Pid0) = host(Z) & host(Pid0) = nbr_proc & elec_1 = index(status,host(Pid0)) & elem(m_Down(Pid20),queue(host(Pid0))) & (all V0 (-leq(host(Pid0),V0) & leq(s(zero),V0) -> setIn(V0,index(down,host(Pid0))) | V0 = host(Pid20))) -> -(setIn(Y,alive) & elem(m_Down(Z),queue(host(Y)))))) & (all Y all Z all Pid20 all Pid0 (setIn(Pid0,alive) & elem(m_Ack(Pid0,Z),queue(host(Pid0))) & leq(nbr_proc,s(index(pendack,host(Pid0)))) & index(status,host(Pid0)) = elec_2 & host(Pid20) = s(index(pendack,host(Pid0))) & index(pendack,host(Pid0)) = host(Z) & elem(m_Down(Pid20),queue(host(Pid0))) -> -(setIn(Y,alive) & index(status,host(Y)) = norm & host(Y) = index(ldr,host(Y))))) & queue(host(X)) = cons(m_NormQ(W),V) & (all Y all Z all Pid0 (setIn(Pid0,alive) & elem(m_Halt(Pid0),queue(host(Z))) & index(status,host(Pid0)) = elec_2 & -leq(index(pendack,host(Pid0)),host(Y)) -> -(norm = index(status,host(Y)) & index(ldr,host(Y)) = host(Y) & setIn(Y,alive)))) & (all Y all Z all Pid0 (elem(m_Down(Z),queue(host(Pid0))) & host(Y) = host(Z) & setIn(Pid0,alive) -> -(index(status,host(Y)) = norm & index(ldr,host(Y)) = host(Y) & setIn(Y,alive)))) & (all Y all Z (setIn(Z,alive) & elec_1 = index(status,host(Z)) -> -elem(m_Ack(Z,Y),queue(host(Z))))) & (all Y all Z (elem(m_Ack(Z,Y),queue(host(Z))) & setIn(Z,alive) -> leq(host(Y),index(pendack,host(Z))))) & (all Y all Z all Pid0 (elem(m_Ack(Pid0,Y),queue(host(Z))) -> -leq(host(Y),host(Pid0)))) & (all Y all Z (elem(m_Halt(Z),queue(host(Y))) -> -leq(host(Y),host(Z)))) & (all Y all Z (elem(m_Ldr(Z),queue(host(Y))) -> -leq(host(Y),host(Z)))) -> (setIn(X,alive) -> (index(status,host(X)) != norm -> (all Y all Z all X0 all Y0 (host(W) = host(Y0) -> (host(X) = host(Y0) -> (elem(m_Down(X0),snoc(V,m_NotNorm(W))) & index(pendack,host(Y0)) = host(Z) & s(index(pendack,host(Y0))) = host(X0) & index(status,host(Y0)) = elec_2 & leq(nbr_proc,s(index(pendack,host(Y0)))) & elem(m_Ack(Y0,Z),snoc(V,m_NotNorm(W))) & setIn(Y0,alive) -> -(setIn(Y,alive) & index(ldr,host(Y)) = host(Y) & norm = index(status,host(Y))))))))))) # label(conj) # label(negated_conjecture) # label(non_clause). [assumption]. 0.07/0.56 69 -elem(A,snoc(B,C)) | elem(A,B) | C = A # label(axiom_47) # label(axiom). [clausify(7)]. 0.07/0.56 75 m_NotNorm(A) != m_Down(B) # label(axiom_19) # label(axiom). [clausify(9)]. 0.07/0.56 96 m_NotNorm(A) != m_Ack(B,C) # label(axiom_13) # label(axiom). [clausify(19)]. 0.07/0.56 110 -leq(A,B) | -leq(B,A) | A = B # label(axiom_61) # label(axiom). [clausify(32)]. 0.07/0.56 122 leq(A,A) # label(axiom_59) # label(axiom). [clausify(38)]. 0.07/0.56 134 leq(host(A),nbr_proc) # label(axiom_04) # label(axiom). [clausify(41)]. 0.07/0.56 140 elem(A,cons(B,C)) | -elem(A,C) # label(axiom_46) # label(axiom). [clausify(45)]. 0.07/0.56 162 index(status,host(A)) != elec_2 | -setIn(A,alive) | index(elid,host(A)) = A # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 171 -setIn(A,alive) | -elem(m_Ack(A,B),queue(host(A))) | -leq(nbr_proc,s(index(pendack,host(A)))) | index(status,host(A)) != elec_2 | host(C) != s(index(pendack,host(A))) | index(pendack,host(A)) != host(B) | -elem(m_Down(C),queue(host(A))) | -setIn(D,alive) | index(status,host(D)) != norm | index(ldr,host(D)) != host(D) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 172 queue(host(c3)) = cons(m_NormQ(c2),c1) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 173 cons(m_NormQ(c2),c1) = queue(host(c3)). [copy(172),flip(a)]. 0.07/0.56 181 setIn(c3,alive) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 183 host(c7) = host(c2) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 184 host(c7) = host(c3) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 185 host(c3) = host(c2). [copy(184),rewrite([183(2)]),flip(a)]. 0.07/0.56 186 elem(m_Down(c6),snoc(c1,m_NotNorm(c2))) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 187 index(pendack,host(c7)) = host(c5) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 188 index(pendack,host(c2)) = host(c5). [copy(187),rewrite([183(3)])]. 0.07/0.56 189 host(c6) = s(index(pendack,host(c7))) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 190 s(host(c5)) = host(c6). [copy(189),rewrite([183(5),188(6)]),flip(a)]. 0.07/0.56 191 index(status,host(c7)) = elec_2 # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 192 elec_2 = index(status,host(c2)). [copy(191),rewrite([183(3)]),flip(a)]. 0.07/0.56 193 leq(nbr_proc,s(index(pendack,host(c7)))) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 194 leq(nbr_proc,host(c6)). [copy(193),rewrite([183(4),188(5),190(4)])]. 0.07/0.56 195 elem(m_Ack(c7,c5),snoc(c1,m_NotNorm(c2))) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 196 setIn(c7,alive) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 197 setIn(c4,alive) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 198 index(ldr,host(c4)) = host(c4) # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 199 index(status,host(c4)) = norm # label(conj) # label(negated_conjecture). [clausify(58)]. 0.07/0.56 200 norm = index(status,host(c4)). [copy(199),flip(a)]. 0.07/0.56 209 cons(m_NormQ(c2),c1) = queue(host(c2)). [back_rewrite(173),rewrite([185(6)])]. 0.07/0.56 211 -setIn(A,alive) | -elem(m_Ack(A,B),queue(host(A))) | -leq(nbr_proc,s(index(pendack,host(A)))) | index(status,host(c2)) != index(status,host(A)) | host(C) != s(index(pendack,host(A))) | index(pendack,host(A)) != host(B) | -elem(m_Down(C),queue(host(A))) | -setIn(D,alive) | index(status,host(c4)) != index(status,host(D)) | index(ldr,host(D)) != host(D). [back_rewrite(171),rewrite([192(16),200(41)]),flip(d),flip(i)]. 0.07/0.56 215 index(status,host(c2)) != index(status,host(A)) | -setIn(A,alive) | index(elid,host(A)) = A. [back_rewrite(162),rewrite([192(4)]),flip(a)]. 0.07/0.56 317 elem(m_Down(c6),c1). [resolve(186,a,69,a),unit_del(b,75)]. 0.07/0.56 328 host(c6) = nbr_proc. [resolve(194,a,110,b),unit_del(a,134)]. 0.07/0.56 338 s(host(c5)) = nbr_proc. [back_rewrite(190),rewrite([328(5)])]. 0.07/0.56 343 elem(m_Ack(c7,c5),c1). [resolve(195,a,69,a),flip(b),unit_del(b(flip),96)]. 0.07/0.56 365 -elem(m_Ack(c3,A),queue(host(c2))) | host(B) != nbr_proc | host(c5) != host(A) | -elem(m_Down(B),queue(host(c2))) | -setIn(C,alive) | index(status,host(c4)) != index(status,host(C)) | index(ldr,host(C)) != host(C). [resolve(211,a,181,a),rewrite([185(4),185(10),188(11),338(10),185(16),185(22),188(23),338(22),185(24),188(25),185(28)]),xx(c),unit_del(b,122)]. 0.07/0.56 374 index(elid,host(c2)) = c7. [resolve(215,b,196,a),rewrite([183(7),183(12)]),xx(a)]. 0.07/0.56 375 c7 = c3. [resolve(215,b,181,a),rewrite([185(7),185(12),374(13)]),xx(a)]. 0.07/0.56 377 elem(m_Ack(c3,c5),c1). [back_rewrite(343),rewrite([375(1)])]. 0.07/0.56 397 elem(m_Down(c6),cons(A,c1)). [resolve(317,a,140,b)]. 0.07/0.56 441 elem(m_Ack(c3,c5),cons(A,c1)). [resolve(377,a,140,b)]. 0.07/0.56 512 elem(m_Down(c6),queue(host(c2))). [para(209(a,1),397(a,2))]. 0.07/0.56 543 -elem(m_Ack(c3,A),queue(host(c2))) | host(B) != nbr_proc | host(c5) != host(A) | -elem(m_Down(B),queue(host(c2))). [resolve(365,e,197,a),rewrite([198(31)]),xx(e),xx(f)]. 0.07/0.56 565 -elem(m_Ack(c3,A),queue(host(c2))) | host(c5) != host(A). [resolve(512,a,543,d),rewrite([328(8)]),xx(b)]. 0.07/0.56 687 elem(m_Ack(c3,c5),queue(host(c2))). [para(209(a,1),441(a,2))]. 0.07/0.56 760 $F. [resolve(687,a,565,a),xx(a)]. 0.07/0.56 0.07/0.56 % SZS output end Refutation 0.07/0.56 ============================== end of proof ========================== 0.07/0.56 0.07/0.56 ============================== STATISTICS ============================ 0.07/0.56 0.07/0.56 Given=271. Generated=2042. Kept=689. proofs=1. 0.07/0.56 Usable=258. Sos=360. Demods=26. Limbo=0, Disabled=201. Hints=0. 0.07/0.56 Megabytes=1.50. 0.07/0.56 User_CPU=0.07, System_CPU=0.00, Wall_clock=0. 0.07/0.56 0.07/0.56 ============================== end of statistics ===================== 0.07/0.56 0.07/0.56 ============================== end of search ========================= 0.07/0.56 0.07/0.56 THEOREM PROVED 0.07/0.56 % SZS status Theorem 0.07/0.56 0.07/0.56 Exiting with 1 proof. 0.07/0.56 0.07/0.56 Process 25527 exit (max_proofs) Sat Jul 14 05:24:55 2018 0.07/0.56 Prover9 interrupted 0.07/0.57 EOF