0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % 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 : 1200 0.13/0.34 % DateTime : Wed Jul 14 14:32:42 EDT 2021 0.13/0.34 % CPUTime : 0.41/1.05 ============================== Prover9 =============================== 0.41/1.05 Prover9 (32) version 2009-11A, November 2009. 0.41/1.05 Process 23392 was started by sandbox on n009.cluster.edu, 0.41/1.05 Wed Jul 14 14:32:43 2021 0.41/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_23233_n009.cluster.edu". 0.41/1.05 ============================== end of head =========================== 0.41/1.05 0.41/1.05 ============================== INPUT ================================= 0.41/1.05 0.41/1.05 % Reading from file /tmp/Prover9_23233_n009.cluster.edu 0.41/1.05 0.41/1.05 set(prolog_style_variables). 0.41/1.05 set(auto2). 0.41/1.05 % set(auto2) -> set(auto). 0.41/1.05 % set(auto) -> set(auto_inference). 0.41/1.05 % set(auto) -> set(auto_setup). 0.41/1.05 % set(auto_setup) -> set(predicate_elim). 0.41/1.05 % set(auto_setup) -> assign(eq_defs, unfold). 0.41/1.05 % set(auto) -> set(auto_limits). 0.41/1.05 % set(auto_limits) -> assign(max_weight, "100.000"). 0.41/1.05 % set(auto_limits) -> assign(sos_limit, 20000). 0.41/1.05 % set(auto) -> set(auto_denials). 0.41/1.05 % set(auto) -> set(auto_process). 0.41/1.05 % set(auto2) -> assign(new_constants, 1). 0.41/1.05 % set(auto2) -> assign(fold_denial_max, 3). 0.41/1.05 % set(auto2) -> assign(max_weight, "200.000"). 0.41/1.05 % set(auto2) -> assign(max_hours, 1). 0.41/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.41/1.05 % set(auto2) -> assign(max_seconds, 0). 0.41/1.05 % set(auto2) -> assign(max_minutes, 5). 0.41/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.41/1.05 % set(auto2) -> set(sort_initial_sos). 0.41/1.05 % set(auto2) -> assign(sos_limit, -1). 0.41/1.05 % set(auto2) -> assign(lrs_ticks, 3000). 0.41/1.05 % set(auto2) -> assign(max_megs, 400). 0.41/1.05 % set(auto2) -> assign(stats, some). 0.41/1.05 % set(auto2) -> clear(echo_input). 0.41/1.05 % set(auto2) -> set(quiet). 0.41/1.05 % set(auto2) -> clear(print_initial_clauses). 0.41/1.05 % set(auto2) -> clear(print_given). 0.41/1.05 assign(lrs_ticks,-1). 0.41/1.05 assign(sos_limit,10000). 0.41/1.05 assign(order,kbo). 0.41/1.05 set(lex_order_vars). 0.41/1.05 clear(print_given). 0.41/1.05 0.41/1.05 % formulas(sos). % not echoed (67 formulas) 0.41/1.05 0.41/1.05 ============================== end of input ========================== 0.41/1.05 0.41/1.05 % From the command line: assign(max_seconds, 1200). 0.41/1.05 0.41/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.41/1.05 0.41/1.05 % Formulas that are not ordinary clauses: 0.41/1.05 1 (all X (ordered(cons(X,q_nil)) & ordered(snoc(q_nil,X)))) # label(axiom_52) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 2 (all X -leq(s(X),X)) # label(axiom_58) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 3 (all P leq(s(zero),host(P))) # label(axiom_02) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 4 (all X all Y all Z m_Down(Z) != m_Ack(X,Y)) # label(axiom_12) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 5 (all Y all Q q_nil != snoc(Q,Y)) # label(axiom_42) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 6 (all X all Q X = head(cons(X,Q))) # label(axiom_35) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 7 (all X all Y all Z (leq(X,Y) & leq(Y,Z) -> leq(X,Z))) # label(axiom_62) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 8 (all Q (cons(head(Q),tail(Q)) = Q | q_nil = Q)) # label(axiom_39) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 9 (all X all Y (X != Y <-> m_Halt(X) != m_Halt(Y))) # label(axiom_26) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 10 (all Pid all Pid2 (host(Pid2) != host(Pid) -> Pid != Pid2)) # label(axiom_33) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 11 (all X all Y m_Down(X) != m_NotNorm(Y)) # label(axiom_19) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 12 (all X all Y (leq(Y,X) | leq(X,Y))) # label(axiom_60) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 13 (all P all Q (s(host(P)) = host(Q) -> host(P) != host(Q))) # label(axiom_01) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 14 (all X all Y (m_NormQ(Y) != m_NormQ(X) <-> X != Y)) # label(axiom_27) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 15 (all X all Y all Z m_Halt(Z) != m_Ack(X,Y)) # label(axiom_11) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 16 (all X all Y all Z m_Ack(X,Y) != m_Ldr(Z)) # label(axiom_14) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 17 (all Q all X (ordered(Q) -> ordered(snoc(Q,m_Ldr(X))))) # label(axiom_56) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 18 (all X1 all X2 all Y1 all Y2 (Y2 != Y1 -> m_Ack(X1,Y1) != m_Ack(X2,Y2))) # label(axiom_32) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 19 (all X (pidElem(X) <-> (exists Y (X = m_Down(Y) | m_Halt(Y) = X)))) # label(axiom_48) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 20 (all X all Q q_nil != cons(X,Q)) # label(axiom_41) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 21 (all X all Y (X = s(Y) | leq(X,Y) <-> leq(X,s(Y)))) # label(axiom_64) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 22 (all X pidMsg(m_Halt(X)) = X) # label(axiom_49) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 23 (all Q all X all Y (ordered(cons(m_Halt(X),Q)) & host(X) = host(Y) & elem(m_Down(Y),Q) -> leq(X,Y))) # label(axiom_57) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 24 (all X all Y (m_NotNorm(X) != m_NotNorm(Y) <-> X != Y)) # label(axiom_28) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 25 (all Y all Q last(snoc(Q,Y)) = Y) # label(axiom_37) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 26 (all X all Y (X != Y <-> m_Ldr(Y) != m_Ldr(X))) # label(axiom_29) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 27 (all X all Y all Q (elem(X,Q) | Y = X <-> elem(X,snoc(Q,Y)))) # label(axiom_47) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 28 (all X all Y m_Ldr(X) != m_Halt(Y)) # label(axiom_22) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 29 (all Q (Q = snoc(init(Q),last(Q)) | q_nil = Q)) # label(axiom_40) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 30 (all X cons(X,q_nil) = snoc(q_nil,X)) # label(axiom_43) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 31 (all X all Y (X = Y <-> leq(X,Y) & leq(Y,X))) # label(axiom_61) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 32 (all X all Y m_NormQ(X) != m_Halt(Y)) # label(axiom_21) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 33 (all X all Y m_Ldr(X) != m_NormQ(Y)) # label(axiom_23) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 34 (all X all Y all Z m_Ack(X,Y) != m_NotNorm(Z)) # label(axiom_13) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 35 (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]. 0.41/1.05 36 (all X all Y m_NormQ(X) != m_NotNorm(Y)) # label(axiom_25) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 37 (all X pidMsg(m_Down(X)) = X) # label(axiom_50) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 38 (all X all Y m_NotNorm(X) != m_Halt(Y)) # label(axiom_16) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 39 (all X all Y all Q (elem(X,cons(Y,Q)) <-> X = Y | elem(X,Q))) # label(axiom_46) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 40 (all X all Y m_NormQ(Y) != m_Down(X)) # label(axiom_20) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 41 (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]. 0.41/1.05 42 (all X all Y all Z m_NormQ(Z) != m_Ack(X,Y)) # label(axiom_15) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 43 (all X all Y (m_Down(Y) != m_Down(X) <-> Y != X)) # label(axiom_30) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 44 (all X all Y m_Down(X) != m_Ldr(Y)) # label(axiom_18) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 45 (all Y all Q Q = init(snoc(Q,Y))) # label(axiom_38) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 46 (all P leq(host(P),nbr_proc)) # label(axiom_04) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 47 (all X -elem(X,q_nil)) # label(axiom_45) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 48 (all X -setIn(X,setEmpty)) # label(axiom_65) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 49 (all Q all X all Y (ordered(Q) -> ordered(snoc(Q,m_Ack(X,Y))))) # label(axiom_55) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 50 (all X all Q tail(cons(X,Q)) = Q) # label(axiom_36) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 51 (all X leq(X,X)) # label(axiom_59) # label(axiom) # label(non_clause). [assumption]. 0.41/1.05 52 (all X all Y m_NotNorm(Y) != m_Ldr(X)) # label(axiom_24) # label(axiom) # label(non_clause). [assumption]. 49.65/49.95 53 (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]. 49.65/49.95 54 (all X all Y (leq(s(X),s(Y)) <-> leq(X,Y))) # label(axiom_63) # label(axiom) # label(non_clause). [assumption]. 49.65/49.95 55 (all X all Y m_Down(X) != m_Halt(Y)) # label(axiom_17) # label(axiom) # label(non_clause). [assumption]. 49.65/49.95 56 (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]. 49.65/49.95 57 (all X all Q ((all Y (elem(Y,Q) & pidElem(X) & host(pidMsg(Y)) = host(pidMsg(X)) & pidElem(Y) -> leq(pidMsg(Y),pidMsg(X)))) & ordered(Q) <-> ordered(snoc(Q,X)))) # label(axiom_54) # label(axiom) # label(non_clause). [assumption]. 49.65/49.95 58 -(all V all W all X all Y ((all Z all Pid0 (elem(m_Down(Pid0),queue(host(Z))) -> -setIn(Pid0,alive))) & (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 Pid20 all Pid0 (elem(m_Ack(Pid0,Z),queue(host(Pid20))) -> -leq(host(Z),host(Pid0)))) & (all Z all Pid30 all Pid20 all Pid0 (setIn(Pid20,alive) & host(Pid20) = host(Pid0) & host(Z) = host(Pid30) & setIn(Z,alive) & host(Z) != host(Pid20) -> -(elem(m_Down(Pid30),queue(host(Pid20))) & elem(m_Down(Pid0),queue(host(Z)))))) & cons(m_NotNorm(X),V) = queue(host(Y)) & (all Z all Pid0 (host(Z) = host(Pid0) & Pid0 != Z -> -setIn(Z,alive) | -setIn(Pid0,alive))) & (all Z all Pid0 (leq(Pid0,Z) & host(Pid0) = host(Z) & -setIn(Z,alive) -> -setIn(Pid0,alive))) & (all Z all Pid0 (setIn(Pid0,alive) -> -elem(m_Down(Pid0),queue(host(Z))))) -> (setIn(Y,alive) -> (index(ldr,host(Y)) = host(Y) & index(status,host(Y)) = norm & index(elid,host(Y)) = X -> (-setIn(W,pids) & host(W) = host(Y) & (all Z (host(Y) = host(Z) -> leq(Z,W))) -> (host(W) = s(zero) -> (-leq(nbr_proc,host(W)) -> (all Z (host(Z) = s(host(W)) -> (host(Z) != host(Y) -> (all X0 all Y0 (host(Y0) != s(host(W)) -> (host(Y) = host(Y0) -> (all Z0 ((Z != Y & setIn(Z,alive) | W = Z) & host(Z) = host(X0) & host(Z0) = host(Y0) & host(Y0) != host(Z) & (W = Y0 | Y0 != Y & setIn(Y0,alive)) -> -(elem(m_Down(X0),V) & elem(m_Down(Z0),snoc(queue(host(Z)),m_Halt(W))))))))))))))))))) # label(conj) # label(negated_conjecture) # label(non_clause). [assumption]. 49.65/49.95 49.65/49.95 ============================== end of process non-clausal formulas === 49.65/49.95 49.65/49.95 ============================== PROCESS INITIAL CLAUSES =============== 49.65/49.95 49.65/49.95 ============================== PREDICATE ELIMINATION ================= 49.65/49.95 49.65/49.95 ============================== end predicate elimination ============= 49.65/49.95 49.65/49.95 Auto_denials: (non-Horn, no changes). 49.65/49.95 49.65/49.95 Term ordering decisions: 49.65/49.95 Function symbol KB weights: alive=1. q_nil=1. zero=1. nbr_proc=1. pids=1. elid=1. ldr=1. norm=1. status=1. elec_1=1. elec_2=1. nil=1. setEmpty=1. wait=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. snoc=1. cons=1. m_Ack=1. index=1. f2=1. f3=1. host=1. pidMsg=1. s=1. m_Down=1. m_Halt=1. queue=1. m_Ldr=1. m_NotNorm=1. m_NormQ=1. head=1. init=1. last=1. tail=1. f1=1. 49.65/49.95 49.65/49.95 ============================== end of process initial clauses ======== 49.65/49.95 49.65/49.95 ============================== CLAUSES FOR SEARCH ==================== 49.65/49.95 49.65/49.95 ============================== end of clauses for search ============= 49.65/49.95 49.65/49.95 ============================== SEARCH ================================ 49.65/49.95 49.65/49.95 % Starting search at 0.03 seconds. 49.65/49.95 49.65/49.95 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 37 (0.00 of 0.31 sec). 49.65/49.95 49.65/49.95 Low Water (keep): wt=24.000, iters=3375 49.65/49.95 49.65/49.95 Low Water (keep): wt=20.000, iters=3400 49.65/49.95 49.65/49.95 Low Water (keep): wt=18.000, iters=3357 49.65/49.95 49.65/49.95 Low Water (keep): wt=17.000, iters=3360 49.65/49.95 49.65/49.95 Low Water (keep): wt=16.000, iters=3334 49.65/49.95 49.65/49.95 Low Water (keep): wt=15.000, iters=3389 49.65/49.95 49.65/49.95 Low Water (keep): wt=14.000, iters=3335 49.65/49.95 49.65/49.95 Low Water (keep): wt=13.000, iters=3334 49.65/49.95 49.65/49.95 ============================== PROOF ================================= 49.65/49.95 % SZS status Theorem 49.65/49.95 % SZS output start Refutation 49.65/49.95 49.65/49.95 % Proof 1 at 47.04 (+ 1.88) seconds. 49.65/49.95 % Length of proof is 41. 49.65/49.95 % Level of proof is 9. 49.65/49.95 % Maximum clause weight is 33.000. 49.65/49.95 % Given clauses 12374. 49.65/49.95 49.65/49.95 27 (all X all Y all Q (elem(X,Q) | Y = X <-> elem(X,snoc(Q,Y)))) # label(axiom_47) # label(axiom) # label(non_clause). [assumption]. 49.65/49.95 39 (all X all Y all Q (elem(X,cons(Y,Q)) <-> X = Y | elem(X,Q))) # label(axiom_46) # label(axiom) # label(non_clause). [assumption]. 49.65/49.95 55 (all X all Y m_Down(X) != m_Halt(Y)) # label(axiom_17) # label(axiom) # label(non_clause). [assumption]. 49.65/49.95 58 -(all V all W all X all Y ((all Z all Pid0 (elem(m_Down(Pid0),queue(host(Z))) -> -setIn(Pid0,alive))) & (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 Pid20 all Pid0 (elem(m_Ack(Pid0,Z),queue(host(Pid20))) -> -leq(host(Z),host(Pid0)))) & (all Z all Pid30 all Pid20 all Pid0 (setIn(Pid20,alive) & host(Pid20) = host(Pid0) & host(Z) = host(Pid30) & setIn(Z,alive) & host(Z) != host(Pid20) -> -(elem(m_Down(Pid30),queue(host(Pid20))) & elem(m_Down(Pid0),queue(host(Z)))))) & cons(m_NotNorm(X),V) = queue(host(Y)) & (all Z all Pid0 (host(Z) = host(Pid0) & Pid0 != Z -> -setIn(Z,alive) | -setIn(Pid0,alive))) & (all Z all Pid0 (leq(Pid0,Z) & host(Pid0) = host(Z) & -setIn(Z,alive) -> -setIn(Pid0,alive))) & (all Z all Pid0 (setIn(Pid0,alive) -> -elem(m_Down(Pid0),queue(host(Z))))) -> (setIn(Y,alive) -> (index(ldr,host(Y)) = host(Y) & index(status,host(Y)) = norm & index(elid,host(Y)) = X -> (-setIn(W,pids) & host(W) = host(Y) & (all Z (host(Y) = host(Z) -> leq(Z,W))) -> (host(W) = s(zero) -> (-leq(nbr_proc,host(W)) -> (all Z (host(Z) = s(host(W)) -> (host(Z) != host(Y) -> (all X0 all Y0 (host(Y0) != s(host(W)) -> (host(Y) = host(Y0) -> (all Z0 ((Z != Y & setIn(Z,alive) | W = Z) & host(Z) = host(X0) & host(Z0) = host(Y0) & host(Y0) != host(Z) & (W = Y0 | Y0 != Y & setIn(Y0,alive)) -> -(elem(m_Down(X0),V) & elem(m_Down(Z0),snoc(queue(host(Z)),m_Halt(W))))))))))))))))))) # label(conj) # label(negated_conjecture) # label(non_clause). [assumption]. 49.65/49.95 103 elem(A,B) | C = A | -elem(A,snoc(B,C)) # label(axiom_47) # label(axiom). [clausify(27)]. 49.65/49.95 126 elem(A,cons(B,C)) | -elem(A,C) # label(axiom_46) # label(axiom). [clausify(39)]. 49.65/49.95 153 m_Halt(A) != m_Down(B) # label(axiom_17) # label(axiom). [clausify(55)]. 49.65/49.95 167 -setIn(A,alive) | host(A) != host(B) | host(C) != host(D) | -setIn(D,alive) | host(A) = host(D) | -elem(m_Down(C),queue(host(A))) | -elem(m_Down(B),queue(host(D))) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 168 queue(host(c4)) = cons(m_NotNorm(c3),c1) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 169 cons(m_NotNorm(c3),c1) = queue(host(c4)). [copy(168),flip(a)]. 49.65/49.95 172 setIn(c4,alive) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 178 host(c2) = host(c4) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 179 host(c4) = host(c2). [copy(178),flip(a)]. 49.65/49.95 185 host(c5) = s(host(c2)) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 186 s(host(c2)) = host(c5). [copy(185),flip(a)]. 49.65/49.95 187 host(c5) != host(c4) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 188 host(c5) != host(c2). [copy(187),rewrite([179(4)])]. 49.65/49.95 189 host(c7) != s(host(c2)) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 190 host(c7) != host(c5). [copy(189),rewrite([186(5)])]. 49.65/49.95 191 host(c7) = host(c4) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 192 host(c7) = host(c2). [copy(191),rewrite([179(4)])]. 49.65/49.95 195 setIn(c5,alive) | c2 = c5 # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 196 setIn(c5,alive) | c5 = c2. [copy(195),flip(b)]. 49.65/49.95 197 host(c6) = host(c5) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 198 host(c8) = host(c7) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 199 host(c8) = host(c2). [copy(198),rewrite([192(4)])]. 49.65/49.95 203 elem(m_Down(c6),c1) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 204 elem(m_Down(c8),snoc(queue(host(c5)),m_Halt(c2))) # label(conj) # label(negated_conjecture). [clausify(58)]. 49.65/49.95 211 cons(m_NotNorm(c3),c1) = queue(host(c2)). [back_rewrite(169),rewrite([179(6)])]. 49.65/49.95 213 host(c5) = c_0. [new_symbol(188)]. 49.65/49.95 214 host(c2) != c_0. [back_rewrite(190),rewrite([192(2),213(4)])]. 49.65/49.95 215 elem(m_Down(c8),snoc(queue(c_0),m_Halt(c2))). [back_rewrite(204),rewrite([213(4)])]. 49.65/49.95 216 host(c6) = c_0. [back_rewrite(197),rewrite([213(4)])]. 49.65/49.95 291 -setIn(A,alive) | host(A) != host(B) | host(c2) != host(C) | host(c2) = host(A) | -elem(m_Down(C),queue(host(A))) | -elem(m_Down(B),queue(host(c2))). [resolve(172,a,167,d),rewrite([179(8),179(12),179(20)]),flip(c),flip(d)]. 49.65/49.95 322 elem(m_Down(c6),cons(A,c1)). [resolve(203,a,126,b)]. 49.65/49.95 347 elem(m_Down(c8),queue(c_0)). [resolve(215,a,103,c),unit_del(b,153)]. 49.65/49.95 623 elem(m_Down(c6),queue(host(c2))). [para(211(a,1),322(a,2))]. 49.65/49.95 2140 host(A) != c_0 | host(c2) != host(B) | -elem(m_Down(B),queue(c_0)) | -elem(m_Down(A),queue(host(c2))) | c5 = c2. [resolve(291,a,196,a),rewrite([213(2),213(11),213(14)]),flip(a),unit_del(c,214)]. 49.65/49.95 12210 host(A) != c_0 | -elem(m_Down(A),queue(host(c2))) | c5 = c2. [resolve(2140,c,347,a),rewrite([199(7)]),xx(b)]. 49.65/49.95 18282 c5 = c2. [resolve(12210,b,623,a),rewrite([216(2)]),xx(a)]. 49.65/49.95 18351 $F. [back_rewrite(213),rewrite([18282(1)]),unit_del(a,214)]. 49.65/49.95 49.65/49.95 % SZS output end Refutation 49.65/49.95 ============================== end of proof ========================== 49.65/49.95 49.65/49.95 ============================== STATISTICS ============================ 49.65/49.95 49.65/49.95 Given=12374. Generated=3804503. Kept=18271. proofs=1. 49.65/49.95 Usable=11871. Sos=4776. Demods=42. Limbo=69, Disabled=1682. Hints=0. 49.65/49.95 Megabytes=31.39. 49.65/49.95 User_CPU=47.04, System_CPU=1.88, Wall_clock=49. 49.65/49.95 49.65/49.95 ============================== end of statistics ===================== 49.65/49.95 49.65/49.95 ============================== end of search ========================= 49.65/49.95 49.65/49.95 THEOREM PROVED 49.65/49.95 % SZS status Theorem 49.65/49.95 49.65/49.95 Exiting with 1 proof. 49.65/49.95 49.65/49.95 Process 23392 exit (max_proofs) Wed Jul 14 14:33:32 2021 49.65/49.95 Prover9 interrupted 49.65/49.95 EOF