TSTP Solution File: SWV459+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV459+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n029.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 : Wed Jul 20 21:13:08 EDT 2022

% Result   : Timeout 300.05s 300.36s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWV459+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun 14 23:38:41 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.79/1.10  ============================== Prover9 ===============================
% 0.79/1.10  Prover9 (32) version 2009-11A, November 2009.
% 0.79/1.10  Process 10496 was started by sandbox on n029.cluster.edu,
% 0.79/1.10  Tue Jun 14 23:38:42 2022
% 0.79/1.10  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10343_n029.cluster.edu".
% 0.79/1.10  ============================== end of head ===========================
% 0.79/1.10  
% 0.79/1.10  ============================== INPUT =================================
% 0.79/1.10  
% 0.79/1.10  % Reading from file /tmp/Prover9_10343_n029.cluster.edu
% 0.79/1.10  
% 0.79/1.10  set(prolog_style_variables).
% 0.79/1.10  set(auto2).
% 0.79/1.10      % set(auto2) -> set(auto).
% 0.79/1.10      % set(auto) -> set(auto_inference).
% 0.79/1.10      % set(auto) -> set(auto_setup).
% 0.79/1.10      % set(auto_setup) -> set(predicate_elim).
% 0.79/1.10      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.79/1.10      % set(auto) -> set(auto_limits).
% 0.79/1.10      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.79/1.10      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.79/1.10      % set(auto) -> set(auto_denials).
% 0.79/1.10      % set(auto) -> set(auto_process).
% 0.79/1.10      % set(auto2) -> assign(new_constants, 1).
% 0.79/1.10      % set(auto2) -> assign(fold_denial_max, 3).
% 0.79/1.10      % set(auto2) -> assign(max_weight, "200.000").
% 0.79/1.10      % set(auto2) -> assign(max_hours, 1).
% 0.79/1.10      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.79/1.10      % set(auto2) -> assign(max_seconds, 0).
% 0.79/1.10      % set(auto2) -> assign(max_minutes, 5).
% 0.79/1.10      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.79/1.10      % set(auto2) -> set(sort_initial_sos).
% 0.79/1.10      % set(auto2) -> assign(sos_limit, -1).
% 0.79/1.10      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.79/1.10      % set(auto2) -> assign(max_megs, 400).
% 0.79/1.10      % set(auto2) -> assign(stats, some).
% 0.79/1.10      % set(auto2) -> clear(echo_input).
% 0.79/1.10      % set(auto2) -> set(quiet).
% 0.79/1.10      % set(auto2) -> clear(print_initial_clauses).
% 0.79/1.10      % set(auto2) -> clear(print_given).
% 0.79/1.10  assign(lrs_ticks,-1).
% 0.79/1.10  assign(sos_limit,10000).
% 0.79/1.10  assign(order,kbo).
% 0.79/1.10  set(lex_order_vars).
% 0.79/1.10  clear(print_given).
% 0.79/1.10  
% 0.79/1.10  % formulas(sos).  % not echoed (67 formulas)
% 0.79/1.10  
% 0.79/1.10  ============================== end of input ==========================
% 0.79/1.10  
% 0.79/1.10  % From the command line: assign(max_seconds, 300).
% 0.79/1.10  
% 0.79/1.10  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.79/1.10  
% 0.79/1.10  % Formulas that are not ordinary clauses:
% 0.79/1.10  1 (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].
% 0.79/1.10  2 (all P all Q (s(host(P)) = host(Q) -> host(P) != host(Q))) # label(axiom_01) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  3 (all P leq(s(zero),host(P))) # label(axiom_02) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  4 (all P leq(host(P),nbr_proc)) # label(axiom_04) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  5 (all X all Y all Z m_Ack(X,Y) != m_Halt(Z)) # label(axiom_11) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  6 (all X all Y all Z m_Ack(X,Y) != m_Down(Z)) # label(axiom_12) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  7 (all X all Y all Z m_Ack(X,Y) != m_NotNorm(Z)) # label(axiom_13) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  8 (all X all Y all Z m_Ack(X,Y) != m_Ldr(Z)) # label(axiom_14) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  9 (all X all Y all Z m_Ack(X,Y) != m_NormQ(Z)) # label(axiom_15) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  10 (all X all Y m_NotNorm(X) != m_Halt(Y)) # label(axiom_16) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  11 (all X all Y m_Down(X) != m_Halt(Y)) # label(axiom_17) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  12 (all X all Y m_Down(X) != m_Ldr(Y)) # label(axiom_18) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  13 (all X all Y m_Down(X) != m_NotNorm(Y)) # label(axiom_19) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  14 (all X all Y m_Down(X) != m_NormQ(Y)) # label(axiom_20) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  15 (all X all Y m_NormQ(X) != m_Halt(Y)) # label(axiom_21) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  16 (all X all Y m_Ldr(X) != m_Halt(Y)) # label(axiom_22) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  17 (all X all Y m_Ldr(X) != m_NormQ(Y)) # label(axiom_23) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  18 (all X all Y m_Ldr(X) != m_NotNorm(Y)) # label(axiom_24) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  19 (all X all Y m_NormQ(X) != m_NotNorm(Y)) # label(axiom_25) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  20 (all X all Y (X != Y <-> m_Halt(X) != m_Halt(Y))) # label(axiom_26) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  21 (all X all Y (X != Y <-> m_NormQ(X) != m_NormQ(Y))) # label(axiom_27) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  22 (all X all Y (X != Y <-> m_NotNorm(X) != m_NotNorm(Y))) # label(axiom_28) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  23 (all X all Y (X != Y <-> m_Ldr(X) != m_Ldr(Y))) # label(axiom_29) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  24 (all X all Y (X != Y <-> m_Down(X) != m_Down(Y))) # label(axiom_30) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  25 (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].
% 0.79/1.10  26 (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].
% 0.79/1.10  27 (all Pid all Pid2 (host(Pid) != host(Pid2) -> Pid != Pid2)) # label(axiom_33) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  28 (all X all Q head(cons(X,Q)) = X) # label(axiom_35) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  29 (all X all Q tail(cons(X,Q)) = Q) # label(axiom_36) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  30 (all Y all Q last(snoc(Q,Y)) = Y) # label(axiom_37) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  31 (all Y all Q init(snoc(Q,Y)) = Q) # label(axiom_38) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  32 (all Q (Q = q_nil | Q = cons(head(Q),tail(Q)))) # label(axiom_39) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  33 (all Q (Q = q_nil | Q = snoc(init(Q),last(Q)))) # label(axiom_40) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  34 (all X all Q q_nil != cons(X,Q)) # label(axiom_41) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  35 (all Y all Q q_nil != snoc(Q,Y)) # label(axiom_42) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  36 (all X cons(X,q_nil) = snoc(q_nil,X)) # label(axiom_43) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  37 (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].
% 0.79/1.10  38 (all X -elem(X,q_nil)) # label(axiom_45) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  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].
% 0.79/1.10  40 (all X all Y all Q (elem(X,snoc(Q,Y)) <-> X = Y | elem(X,Q))) # label(axiom_47) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  41 (all X (pidElem(X) <-> (exists Y (X = m_Halt(Y) | X = m_Down(Y))))) # label(axiom_48) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  42 (all X pidMsg(m_Halt(X)) = X) # label(axiom_49) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  43 (all X pidMsg(m_Down(X)) = X) # label(axiom_50) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  44 (all X (ordered(cons(X,q_nil)) & ordered(snoc(q_nil,X)))) # label(axiom_52) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  45 (all X all Q (ordered(cons(X,Q)) <-> ordered(Q) & (all Y (elem(Y,Q) & pidElem(X) & pidElem(Y) & host(pidMsg(Y)) = host(pidMsg(X)) -> leq(pidMsg(X),pidMsg(Y)))))) # label(axiom_53) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  46 (all X all Q (ordered(snoc(Q,X)) <-> ordered(Q) & (all Y (elem(Y,Q) & pidElem(X) & pidElem(Y) & host(pidMsg(Y)) = host(pidMsg(X)) -> leq(pidMsg(Y),pidMsg(X)))))) # label(axiom_54) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  47 (all Q all X all Y (ordered(Q) -> ordered(snoc(Q,m_Ack(X,Y))))) # label(axiom_55) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  48 (all Q all X (ordered(Q) -> ordered(snoc(Q,m_Ldr(X))))) # label(axiom_56) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.10  49 (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].
% 0.79/1.11  50 (all X -leq(s(X),X)) # label(axiom_58) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.11  51 (all X leq(X,X)) # label(axiom_59) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.11  52 (all X all Y (leq(X,Y) | leq(Y,X))) # label(axiom_60) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.11  53 (all X all Y (leq(X,Y) & leq(Y,X) <-> X = Y)) # label(axiom_61) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.11  54 (all X all Y all Z (leq(X,Y) & leq(Y,Z) -> leq(X,Z))) # label(axiom_62) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.11  55 (all X all Y (leq(X,Y) <-> leq(s(X),s(Y)))) # label(axiom_63) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.11  56 (all X all Y (leq(X,s(Y)) <-> X = s(Y) | leq(X,Y))) # label(axiom_64) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.11  57 (all X -setIn(X,setEmpty)) # label(axiom_65) # label(axiom) # label(non_clause).  [assumption].
% 0.79/1.11  58 -(all V all W all X all Y ((all Z leq(index(pendack,host(Z)),nbr_proc)) & (all Z all Pid0 (elem(m_Down(Pid0),queue(host(Z))) -> -setIn(Pid0,alive))) & (all Z all Pid0 (elem(m_Ldr(Pid0),queue(host(Z))) -> -leq(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 Pid0 (-setIn(Z,alive) & leq(Pid0,Z) & host(Pid0) = host(Z) -> -setIn(Pid0,alive))) & (all Z all Pid0 (Pid0 != Z & host(Pid0) = host(Z) -> -setIn(Z,alive) | -setIn(Pid0,alive))) & (all Z ((index(status,host(Z)) = elec_1 | index(status,host(Z)) = elec_2) & setIn(Z,alive) -> index(elid,host(Z)) = Z)) & (all Z all Pid20 all Pid0 (setIn(Pid0,alive) & elem(m_Down(Pid20),queue(host(Pid0))) & host(Pid20) = host(Z) -> -(setIn(Z,alive) & index(ldr,host(Z)) = host(Z) & index(status,host(Z)) = norm))) & (all Z all Pid0 (-leq(host(Z),host(Pid0)) & setIn(Z,alive) & setIn(Pid0,alive) & index(status,host(Z)) = elec_2 & index(status,host(Pid0)) = elec_2 -> leq(index(pendack,host(Pid0)),host(Z)))) & (all Z all Pid20 all Pid0 (setIn(Pid0,alive) & elem(m_Ack(Pid0,Pid20),queue(host(Pid0))) & host(Pid20) = host(Z) -> -(setIn(Z,alive) & index(ldr,host(Z)) = host(Z) & index(status,host(Z)) = norm))) & (all Z all Pid0 (-leq(index(pendack,host(Pid0)),host(Z)) & setIn(Pid0,alive) & index(status,host(Pid0)) = elec_2 -> -(setIn(Z,alive) & index(ldr,host(Z)) = host(Z) & index(status,host(Z)) = norm))) & (all Z all Pid0 (setIn(Z,alive) & setIn(Pid0,alive) & index(ldr,host(Z)) = host(Z) & index(status,host(Z)) = norm & index(status,host(Pid0)) = norm & index(ldr,host(Pid0)) = host(Pid0) -> Pid0 = Z)) & (all Z all Pid0 (-leq(host(Z),host(Pid0)) & setIn(Z,alive) & setIn(Pid0,alive) & index(status,host(Z)) = elec_2 & index(status,host(Pid0)) = elec_2 -> -leq(index(pendack,host(Z)),index(pendack,host(Pid0))))) & (all Z all Pid20 all Pid0 (-leq(index(pendack,host(Pid0)),host(Z)) & setIn(Pid0,alive) & elem(m_Halt(Pid0),queue(host(Pid20))) & index(status,host(Pid0)) = elec_2 -> -(setIn(Z,alive) & index(ldr,host(Z)) = host(Z) & index(status,host(Z)) = norm))) & (all Z all Pid20 all Pid0 ((all V0 (-leq(host(Pid0),V0) & leq(s(zero),V0) -> setIn(V0,index(down,host(Pid0))) | V0 = host(Pid20))) & -leq(host(Pid0),host(Z)) & elem(m_Down(Pid20),queue(host(Pid0))) & index(status,host(Pid0)) = elec_1 -> -(setIn(Z,alive) & index(ldr,host(Z)) = host(Z) & index(status,host(Z)) = norm))) & queue(host(X)) = cons(m_Down(Y),V) -> (setIn(X,alive) -> (-leq(host(X),host(Y)) -> (-(index(ldr,host(X)) = host(Y) & index(status,host(X)) = norm | index(status,host(X)) = wait & host(Y) = host(index(elid,host(X)))) -> ((all Z (-leq(host(X),Z) & leq(s(zero),Z) -> setIn(Z,index(down,host(X))) | Z = host(Y))) & index(status,host(X)) = elec_1 -> (-leq(nbr_proc,host(X)) -> (all Z (host(X) != host(Z) -> (all W0 (s(host(X)) != host(W0) -> (host(X) != host(W0) -> (all X0 (host(X) = host(X0) -> (-leq(s(host(X)),host(Z)) & setIn(X0,alive) & elem(m_Halt(X0),queue(host(W0))) -> -(setIn(Z,alive) & index(ldr,host(Z)) = host(Z) & index(status,host(Z)) = norm)))))))))))))))) # label(conj) # label(negated_conjectureCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------