0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.34 % Computer : n017.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 : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 03:41:30 EDT 2022 0.13/0.34 % CPUTime : 0.75/1.04 ============================== Prover9 =============================== 0.75/1.04 Prover9 (32) version 2009-11A, November 2009. 0.75/1.04 Process 20476 was started by sandbox on n017.cluster.edu, 0.75/1.04 Tue Aug 9 03:41:30 2022 0.75/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 960 -f /tmp/Prover9_20239_n017.cluster.edu". 0.75/1.04 ============================== end of head =========================== 0.75/1.04 0.75/1.04 ============================== INPUT ================================= 0.75/1.04 0.75/1.04 % Reading from file /tmp/Prover9_20239_n017.cluster.edu 0.75/1.04 0.75/1.04 set(prolog_style_variables). 0.75/1.04 set(auto2). 0.75/1.04 % set(auto2) -> set(auto). 0.75/1.04 % set(auto) -> set(auto_inference). 0.75/1.04 % set(auto) -> set(auto_setup). 0.75/1.04 % set(auto_setup) -> set(predicate_elim). 0.75/1.04 % set(auto_setup) -> assign(eq_defs, unfold). 0.75/1.04 % set(auto) -> set(auto_limits). 0.75/1.04 % set(auto_limits) -> assign(max_weight, "100.000"). 0.75/1.04 % set(auto_limits) -> assign(sos_limit, 20000). 0.75/1.04 % set(auto) -> set(auto_denials). 0.75/1.04 % set(auto) -> set(auto_process). 0.75/1.04 % set(auto2) -> assign(new_constants, 1). 0.75/1.04 % set(auto2) -> assign(fold_denial_max, 3). 0.75/1.04 % set(auto2) -> assign(max_weight, "200.000"). 0.75/1.04 % set(auto2) -> assign(max_hours, 1). 0.75/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.75/1.04 % set(auto2) -> assign(max_seconds, 0). 0.75/1.04 % set(auto2) -> assign(max_minutes, 5). 0.75/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.75/1.04 % set(auto2) -> set(sort_initial_sos). 0.75/1.04 % set(auto2) -> assign(sos_limit, -1). 0.75/1.04 % set(auto2) -> assign(lrs_ticks, 3000). 0.75/1.04 % set(auto2) -> assign(max_megs, 400). 0.75/1.04 % set(auto2) -> assign(stats, some). 0.75/1.04 % set(auto2) -> clear(echo_input). 0.75/1.04 % set(auto2) -> set(quiet). 0.75/1.04 % set(auto2) -> clear(print_initial_clauses). 0.75/1.04 % set(auto2) -> clear(print_given). 0.75/1.04 assign(lrs_ticks,-1). 0.75/1.04 assign(sos_limit,10000). 0.75/1.04 assign(order,kbo). 0.75/1.04 set(lex_order_vars). 0.75/1.04 clear(print_given). 0.75/1.04 0.75/1.04 % formulas(sos). % not echoed (67 formulas) 0.75/1.04 0.75/1.04 ============================== end of input ========================== 0.75/1.04 0.75/1.04 % From the command line: assign(max_seconds, 960). 0.75/1.04 0.75/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.75/1.04 0.75/1.04 % Formulas that are not ordinary clauses: 0.75/1.04 1 (all X all Y (leq(X,Y) | leq(Y,X))) # label(axiom_60) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 2 (all X X = pidMsg(m_Halt(X))) # label(axiom_49) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 3 (all X -leq(s(X),X)) # label(axiom_58) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 4 (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]. 0.75/1.04 5 (all P leq(host(P),nbr_proc)) # label(axiom_04) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 6 (all Y all Q q_nil != snoc(Q,Y)) # label(axiom_42) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 7 (all X all Y all Q (elem(X,Q) | Y = X <-> elem(X,cons(Y,Q)))) # label(axiom_46) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 8 (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]. 0.75/1.04 9 (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]. 0.75/1.04 10 (all X all Y (leq(X,s(Y)) <-> s(Y) = X | leq(X,Y))) # label(axiom_64) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 11 (all P leq(s(zero),host(P))) # label(axiom_02) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 12 (all X ((exists Y (m_Halt(Y) = X | m_Down(Y) = X)) <-> pidElem(X))) # label(axiom_48) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 13 (all X all Y all Z (leq(Y,Z) & leq(X,Y) -> leq(X,Z))) # label(axiom_62) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 14 (all X all Y m_NotNorm(Y) != m_NormQ(X)) # label(axiom_25) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 15 (all X all Y all Z m_NotNorm(Z) != m_Ack(X,Y)) # label(axiom_13) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 16 (all X all Q tail(cons(X,Q)) = Q) # label(axiom_36) # label(axiom) # label(non_clause). [assumption]. 0.75/1.04 17 (all Pid all Pid2 (host(Pid) != host(Pid2) -> Pid2 != Pid)) # label(axiom_33) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 18 (all P all Q (host(Q) = s(host(P)) -> host(Q) != host(P))) # label(axiom_01) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 19 (all X all Y all Q (elem(X,Q) | X = Y <-> elem(X,snoc(Q,Y)))) # label(axiom_47) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 20 (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]. 0.75/1.05 21 (all X all Y (leq(X,Y) <-> leq(s(X),s(Y)))) # label(axiom_63) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 22 (all X all Y m_Halt(Y) != m_NotNorm(X)) # label(axiom_16) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 23 (all X all Y (Y != X <-> m_Halt(X) != m_Halt(Y))) # label(axiom_26) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 24 (all X snoc(q_nil,X) = cons(X,q_nil)) # label(axiom_43) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 25 (all X all Y all Z m_Ack(X,Y) != m_Ldr(Z)) # label(axiom_14) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 26 (all X all Y all Z m_Down(Z) != m_Ack(X,Y)) # label(axiom_12) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 27 (all X leq(X,X)) # label(axiom_59) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 28 (all X -setIn(X,setEmpty)) # label(axiom_65) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 29 (all X pidMsg(m_Down(X)) = X) # label(axiom_50) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 30 (all X all Y all Z m_Ack(X,Y) != m_Halt(Z)) # label(axiom_11) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 31 (all X all Y all Z m_Ack(X,Y) != m_NormQ(Z)) # label(axiom_15) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 32 (all X all Y m_Ldr(Y) != m_Down(X)) # label(axiom_18) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 33 (all X all Y (leq(Y,X) & leq(X,Y) <-> Y = X)) # label(axiom_61) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 34 (all X all Y m_NormQ(Y) != m_Down(X)) # label(axiom_20) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 35 (all X all Q (ordered(cons(X,Q)) <-> (all Y (pidElem(X) & pidElem(Y) & host(pidMsg(Y)) = host(pidMsg(X)) & elem(Y,Q) -> leq(pidMsg(X),pidMsg(Y)))) & ordered(Q))) # label(axiom_53) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 36 (all X -elem(X,q_nil)) # label(axiom_45) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 37 (all X all Q (ordered(snoc(Q,X)) <-> (all Y (elem(Y,Q) & pidElem(Y) & host(pidMsg(X)) = host(pidMsg(Y)) & pidElem(X) -> leq(pidMsg(Y),pidMsg(X)))) & ordered(Q))) # label(axiom_54) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 38 (all X all Y m_Halt(Y) != m_NormQ(X)) # label(axiom_21) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 39 (all X all Y (X != Y <-> m_NormQ(Y) != m_NormQ(X))) # label(axiom_27) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 40 (all X all Q q_nil != cons(X,Q)) # label(axiom_41) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 41 (all X all Y m_Halt(Y) != m_Ldr(X)) # label(axiom_22) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 42 (all Q (cons(head(Q),tail(Q)) = Q | Q = q_nil)) # label(axiom_39) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 43 (all X all Q X = head(cons(X,Q))) # label(axiom_35) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 44 (all Q (Q = q_nil | snoc(init(Q),last(Q)) = Q)) # label(axiom_40) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 45 (all Y all Q Y = last(snoc(Q,Y))) # label(axiom_37) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 46 (all X all Y (m_NotNorm(Y) != m_NotNorm(X) <-> Y != X)) # label(axiom_28) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 47 (all X (ordered(snoc(q_nil,X)) & ordered(cons(X,q_nil)))) # label(axiom_52) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 48 (all X1 all X2 all Y1 all Y2 (X2 != X1 -> m_Ack(X2,Y2) != m_Ack(X1,Y1))) # label(axiom_31) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 49 (all X all Y m_Ldr(X) != m_NormQ(Y)) # label(axiom_23) # label(axiom) # label(non_clause). [assumption]. 0.75/1.05 50 (all X all Y m_NotNorm(Y) != m_Ldr(X)) # label(axiom_24) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 51 (all Q all X all Y (ordered(Q) -> ordered(snoc(Q,m_Ack(X,Y))))) # label(axiom_55) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 52 (all X all Y (X != Y <-> m_Down(Y) != m_Down(X))) # label(axiom_30) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 53 (all X all Y m_Halt(Y) != m_Down(X)) # label(axiom_17) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 54 (all Q all X (ordered(Q) -> ordered(snoc(Q,m_Ldr(X))))) # label(axiom_56) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 55 (all Y all Q init(snoc(Q,Y)) = Q) # label(axiom_38) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 56 (all X all Y m_NotNorm(Y) != m_Down(X)) # label(axiom_19) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 57 (all X all Y (m_Ldr(X) != m_Ldr(Y) <-> Y != X)) # label(axiom_29) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 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 (Z != Pid0 & host(Pid0) = host(Z) -> -setIn(Pid0,alive) | -setIn(Z,alive))) & queue(host(X)) = cons(m_Ack(W,Y),V) & (all Z all Pid30 all Pid20 all Pid0 (host(Pid20) != host(Z) & host(Z) = host(Pid30) & host(Pid20) = host(Pid0) & setIn(Pid20,alive) & setIn(Z,alive) -> -(elem(m_Down(Pid30),queue(host(Pid20))) & elem(m_Down(Pid0),queue(host(Z)))))) & (all Z all Pid0 (-setIn(Z,alive) & leq(Pid0,Z) & host(Z) = host(Pid0) -> -setIn(Pid0,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_Halt(Pid0),queue(host(Z))) -> -leq(host(Z),host(Pid0)))) & (all Z all Pid0 (setIn(Pid0,alive) -> -elem(m_Down(Pid0),queue(host(Z))))) -> (setIn(X,alive) -> (index(elid,host(X)) = W & host(Y) = index(pendack,host(X)) & index(status,host(X)) = elec_2 -> (leq(nbr_proc,index(pendack,host(X))) -> (all Z (host(Y) = host(Z) | setIn(host(Z),index(acks,host(X))) -> (all V0 (host(V0) = host(Z) -> (host(X) = host(V0) -> (all W0 all X0 (host(Z) != host(X0) -> (host(X0) != host(X) -> (all Y0 (setIn(V0,alive) & setIn(X0,alive) & host(Y0) = host(X0) & host(V0) = host(W0) & host(X0) != host(V0) -> -(elem(m_Down(W0),queue(host(X0))) & elem(m_Down(Y0),snoc(V,m_Ldr(X))))))))))))))))))) # label(conj) # label(negated_conjecture) # label(non_clause). [assumption]. 1.05/1.36 1.05/1.36 ============================== end of process non-clausal formulas === 1.05/1.36 1.05/1.36 ============================== PROCESS INITIAL CLAUSES =============== 1.05/1.36 1.05/1.36 ============================== PREDICATE ELIMINATION ================= 1.05/1.36 1.05/1.36 ============================== end predicate elimination ============= 1.05/1.36 1.05/1.36 Auto_denials: (non-Horn, no changes). 1.05/1.36 1.05/1.36 Term ordering decisions: 1.05/1.36 Function symbol KB weights: alive=1. q_nil=1. nbr_proc=1. pendack=1. pids=1. zero=1. acks=1. elec_2=1. elid=1. status=1. elec_1=1. nil=1. norm=1. setEmpty=1. wait=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. snoc=1. cons=1. m_Ack=1. index=1. f2=1. f3=1. host=1. pidMsg=1. m_Down=1. s=1. m_Halt=1. m_Ldr=1. queue=1. m_NormQ=1. m_NotNorm=1. head=1. init=1. last=1. tail=1. f1=1. 1.05/1.36 1.05/1.36 ============================== end of process initial clauses ======== 1.05/1.36 1.05/1.36 ============================== CLAUSES FOR SEARCH ==================== 1.05/1.36 1.05/1.36 ============================== end of clauses for search ============= 1.05/1.36 1.05/1.36 ============================== SEARCH ================================ 1.05/1.36 1.05/1.36 % Starting search at 0.03 seconds. 1.05/1.36 1.05/1.36 ============================== PROOF ================================= 1.05/1.36 % SZS status Theorem 1.05/1.36 % SZS output start Refutation 1.05/1.36 1.05/1.36 % Proof 1 at 0.32 (+ 0.01) seconds. 1.05/1.36 % Length of proof is 33. 1.05/1.36 % Level of proof is 8. 1.05/1.36 % Maximum clause weight is 33.000. 1.05/1.36 % Given clauses 482. 1.05/1.36 1.05/1.36 7 (all X all Y all Q (elem(X,Q) | Y = X <-> elem(X,cons(Y,Q)))) # label(axiom_46) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 19 (all X all Y all Q (elem(X,Q) | X = Y <-> elem(X,snoc(Q,Y)))) # label(axiom_47) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 32 (all X all Y m_Ldr(Y) != m_Down(X)) # label(axiom_18) # label(axiom) # label(non_clause). [assumption]. 1.05/1.36 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 (Z != Pid0 & host(Pid0) = host(Z) -> -setIn(Pid0,alive) | -setIn(Z,alive))) & queue(host(X)) = cons(m_Ack(W,Y),V) & (all Z all Pid30 all Pid20 all Pid0 (host(Pid20) != host(Z) & host(Z) = host(Pid30) & host(Pid20) = host(Pid0) & setIn(Pid20,alive) & setIn(Z,alive) -> -(elem(m_Down(Pid30),queue(host(Pid20))) & elem(m_Down(Pid0),queue(host(Z)))))) & (all Z all Pid0 (-setIn(Z,alive) & leq(Pid0,Z) & host(Z) = host(Pid0) -> -setIn(Pid0,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_Halt(Pid0),queue(host(Z))) -> -leq(host(Z),host(Pid0)))) & (all Z all Pid0 (setIn(Pid0,alive) -> -elem(m_Down(Pid0),queue(host(Z))))) -> (setIn(X,alive) -> (index(elid,host(X)) = W & host(Y) = index(pendack,host(X)) & index(status,host(X)) = elec_2 -> (leq(nbr_proc,index(pendack,host(X))) -> (all Z (host(Y) = host(Z) | setIn(host(Z),index(acks,host(X))) -> (all V0 (host(V0) = host(Z) -> (host(X) = host(V0) -> (all W0 all X0 (host(Z) != host(X0) -> (host(X0) != host(X) -> (all Y0 (setIn(V0,alive) & setIn(X0,alive) & host(Y0) = host(X0) & host(V0) = host(W0) & host(X0) != host(V0) -> -(elem(m_Down(W0),queue(host(X0))) & elem(m_Down(Y0),snoc(V,m_Ldr(X))))))))))))))))))) # label(conj) # label(negated_conjecture) # label(non_clause). [assumption]. 1.05/1.36 67 -elem(A,B) | elem(A,cons(C,B)) # label(axiom_46) # label(axiom). [clausify(7)]. 1.05/1.36 94 elem(A,B) | C = A | -elem(A,snoc(B,C)) # label(axiom_47) # label(axiom). [clausify(19)]. 1.05/1.36 109 m_Ldr(A) != m_Down(B) # label(axiom_18) # label(axiom). [clausify(32)]. 1.05/1.36 160 queue(host(c3)) = cons(m_Ack(c2,c4),c1) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 161 cons(m_Ack(c2,c4),c1) = queue(host(c3)). [copy(160),flip(a)]. 1.05/1.36 162 host(A) = host(B) | host(C) != host(B) | host(A) != host(D) | -setIn(A,alive) | -setIn(B,alive) | -elem(m_Down(C),queue(host(A))) | -elem(m_Down(D),queue(host(B))) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 166 setIn(c3,alive) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 174 host(c6) = host(c5) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 175 host(c6) = host(c3) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 176 host(c5) = host(c3). [copy(175),rewrite([174(2)])]. 1.05/1.36 177 host(c8) != host(c5) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 178 host(c8) != host(c3). [copy(177),rewrite([176(4)])]. 1.05/1.36 180 setIn(c8,alive) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 181 host(c9) = host(c8) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 182 host(c7) = host(c6) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 183 host(c7) = host(c3). [copy(182),rewrite([174(4),176(4)])]. 1.05/1.36 185 elem(m_Down(c7),queue(host(c8))) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.05/1.36 186 elem(m_Down(c9),snoc(c1,m_Ldr(c3))) # label(conj) # label(negated_conjecture). [clausify(58)]. 1.10/1.36 192 host(c8) = c_0. [new_symbol(178)]. 1.10/1.36 193 elem(m_Down(c7),queue(c_0)). [back_rewrite(185),rewrite([192(4)])]. 1.10/1.36 194 host(c9) = c_0. [back_rewrite(181),rewrite([192(4)])]. 1.10/1.36 195 host(c3) != c_0. [back_rewrite(178),rewrite([192(2)]),flip(a)]. 1.10/1.36 283 host(c3) = host(A) | host(c3) != host(B) | host(A) != host(C) | -setIn(A,alive) | -elem(m_Down(B),queue(host(A))) | -elem(m_Down(C),queue(host(c3))). [resolve(166,a,162,e),flip(a),flip(b)]. 1.10/1.36 308 elem(m_Down(c9),c1). [resolve(186,a,94,c),unit_del(b,109)]. 1.10/1.36 362 elem(m_Down(c9),cons(A,c1)). [resolve(308,a,67,a)]. 1.10/1.36 498 elem(m_Down(c9),queue(host(c3))). [para(161(a,1),362(a,2))]. 1.10/1.36 2259 host(c3) != host(A) | host(B) != c_0 | -elem(m_Down(A),queue(c_0)) | -elem(m_Down(B),queue(host(c3))). [resolve(283,d,180,a),rewrite([192(4),192(10),192(14)]),flip(c),unit_del(a,195)]. 1.10/1.36 2260 host(A) != c_0 | -elem(m_Down(A),queue(host(c3))). [resolve(2259,c,193,a),rewrite([183(4)]),xx(a)]. 1.10/1.36 2262 $F. [resolve(2260,b,498,a),rewrite([194(2)]),xx(a)]. 1.10/1.36 1.10/1.36 % SZS output end Refutation 1.10/1.36 ============================== end of proof ========================== 1.10/1.36 1.10/1.36 ============================== STATISTICS ============================ 1.10/1.36 1.10/1.36 Given=482. Generated=9714. Kept=2193. proofs=1. 1.10/1.36 Usable=476. Sos=1689. Demods=32. Limbo=0, Disabled=150. Hints=0. 1.10/1.36 Megabytes=4.29. 1.10/1.36 User_CPU=0.33, System_CPU=0.01, Wall_clock=1. 1.10/1.36 1.10/1.36 ============================== end of statistics ===================== 1.10/1.36 1.10/1.36 ============================== end of search ========================= 1.10/1.36 1.10/1.36 THEOREM PROVED 1.10/1.36 % SZS status Theorem 1.10/1.36 1.10/1.36 Exiting with 1 proof. 1.10/1.36 1.10/1.36 Process 20476 exit (max_proofs) Tue Aug 9 03:41:31 2022 1.10/1.36 Prover9 interrupted 1.10/1.37 EOF