TSTP Solution File: KRS050+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : KRS050+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n017.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 : Sun Jul 17 03:24:50 EDT 2022

% Result   : Unknown 0.68s 0.99s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : KRS050+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n017.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 : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 18:53:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.68/0.98  ============================== Prover9 ===============================
% 0.68/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.68/0.98  Process 32150 was started by sandbox2 on n017.cluster.edu,
% 0.68/0.98  Tue Jun  7 18:53:48 2022
% 0.68/0.98  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31979_n017.cluster.edu".
% 0.68/0.98  ============================== end of head ===========================
% 0.68/0.98  
% 0.68/0.98  ============================== INPUT =================================
% 0.68/0.98  
% 0.68/0.98  % Reading from file /tmp/Prover9_31979_n017.cluster.edu
% 0.68/0.98  
% 0.68/0.98  set(prolog_style_variables).
% 0.68/0.98  set(auto2).
% 0.68/0.98      % set(auto2) -> set(auto).
% 0.68/0.98      % set(auto) -> set(auto_inference).
% 0.68/0.98      % set(auto) -> set(auto_setup).
% 0.68/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.68/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/0.98      % set(auto) -> set(auto_limits).
% 0.68/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/0.98      % set(auto) -> set(auto_denials).
% 0.68/0.98      % set(auto) -> set(auto_process).
% 0.68/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.68/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.68/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.68/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.68/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.68/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.68/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.68/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.68/0.98      % set(auto2) -> assign(stats, some).
% 0.68/0.98      % set(auto2) -> clear(echo_input).
% 0.68/0.98      % set(auto2) -> set(quiet).
% 0.68/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.68/0.98      % set(auto2) -> clear(print_given).
% 0.68/0.98  assign(lrs_ticks,-1).
% 0.68/0.98  assign(sos_limit,10000).
% 0.68/0.98  assign(order,kbo).
% 0.68/0.98  set(lex_order_vars).
% 0.68/0.98  clear(print_given).
% 0.68/0.98  
% 0.68/0.98  % formulas(sos).  % not echoed (11 formulas)
% 0.68/0.98  
% 0.68/0.98  ============================== end of input ==========================
% 0.68/0.98  
% 0.68/0.98  % From the command line: assign(max_seconds, 300).
% 0.68/0.98  
% 0.68/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/0.98  
% 0.68/0.98  % Formulas that are not ordinary clauses:
% 0.68/0.98  1 (all X (cowlThing(X) & -cowlNothing(X))) # label(axiom_0) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  2 (all X (xsd_string(X) <-> -xsd_integer(X))) # label(axiom_1) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  3 (all X (cSatisfiable(X) <-> (exists Y (rr(X,Y) & ca_Vx4(Y))) & (exists Y (rr(X,Y) & ca_Vx5(Y))))) # label(axiom_2) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  4 (all X (cp(X) <-> -(exists Y ra_Px1(X,Y)))) # label(axiom_3) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  5 (all X (cpxcomp(X) <-> (exists Y0 ra_Px1(X,Y0)))) # label(axiom_4) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  6 (all X (ca_Vx2(X) <-> (all Y (rr1(X,Y) -> cp(Y))))) # label(axiom_5) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  7 (all X (ca_Vx3(X) <-> (all Y (rr1(X,Y) -> cpxcomp(Y))))) # label(axiom_6) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  8 (all X (ca_Vx4(X) <-> (all Y (rinvR(X,Y) -> ca_Vx2(Y))))) # label(axiom_7) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  9 (all X (ca_Vx5(X) <-> (all Y (rinvR(X,Y) -> ca_Vx3(Y))))) # label(axiom_8) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  10 (all X all Y (rinvR(X,Y) <-> rr(Y,X))) # label(axiom_9) # label(axiom) # label(non_clause).  [assumption].
% 0.68/0.98  
% 0.68/0.98  ============================== end of process non-clausal formulas ===
% 0.68/0.98  
% 0.68/0.98  ============================== PROCESS INITIAL CLAUSES ===============
% 0.68/0.98  
% 0.68/0.98  ============================== PREDICATE ELIMINATION =================
% 0.68/0.98  11 -cSatisfiable(A) | ca_Vx4(f1(A)) # label(axiom_2) # label(axiom).  [clausify(3)].
% 0.68/0.98  12 cSatisfiable(i2003_11_14_17_16_39209) # label(axiom_10) # label(axiom).  [assumption].
% 0.68/0.98  Derived: ca_Vx4(f1(i2003_11_14_17_16_39209)).  [resolve(11,a,12,a)].
% 0.68/0.98  13 -cSatisfiable(A) | ca_Vx5(f2(A)) # label(axiom_2) # label(axiom).  [clausify(3)].
% 0.68/0.98  Derived: ca_Vx5(f2(i2003_11_14_17_16_39209)).  [resolve(13,a,12,a)].
% 0.68/0.98  14 -cSatisfiable(A) | rr(A,f1(A)) # label(axiom_2) # label(axiom).  [clausify(3)].
% 0.68/0.98  Derived: rr(i2003_11_14_17_16_39209,f1(i2003_11_14_17_16_39209)).  [resolve(14,a,12,a)].
% 0.68/0.98  15 -cSatisfiable(A) | rr(A,f2(A)) # label(axiom_2) # label(axiom).  [clausify(3)].
% 0.68/0.98  Derived: rr(i2003_11_14_17_16_39209,f2(i2003_11_14_17_16_39209)).  [resolve(15,a,12,a)].
% 0.68/0.98  16 cSatisfiable(A) | -rr(A,B) | -ca_Vx4(B) | -rr(A,C) | -ca_Vx5(C) # label(axiom_2) # label(axiom).  [clausify(3)].
% 0.68/0.98  Derived: -rr(A,B) | -ca_Vx4(B) | -rr(A,C) | -ca_Vx5(C) | ca_Vx4(f1(A)).  [resolve(16,a,11,a)].
% 0.68/0.98  Derived: -rr(A,B) | -ca_Vx4(B) | -rr(A,C) | -ca_Vx5(C) | ca_Vx5(f2(A)).  [resolve(16,a,13,a)].
% 0.68/0.98  Derived: -rr(A,B) | -ca_Vx4(B) | -rr(A,C) | -ca_Vx5(C) | rr(A,f1(A)).  [resolve(16,a,14,a)].
% 0.68/0.98  Derived: -rr(A,B) | -ca_Vx4(B) | -rr(A,C) | -ca_Vx5(C) | rr(A,f2(A)).  [resolve(16,a,15,a)].
% 0.68/0.98  17 -xsd_string(A) | -xsd_integer(A) # label(axiom_1) # label(axiom).  [clausify(2)].
% 0.68/0.98  18 xsd_string(A) | xsd_integer(A) # label(axiom_1) # label(axiom).  [clausify(2)].
% 0.68/0.98  19 -cp(A) | -ra_Px1(A,B) # label(axiom_3) # label(axiom).  [clausify(4)].
% 0.68/0.98  20 cp(A) | ra_Px1(A,f3(A)) # label(axiom_3) # label(axiom).  [clausify(4)].
% 0.68/0.98  Derived: -ra_Px1(A,B) | ra_Px1(A,f3(A)).  [resolve(19,a,20,a)].
% 0.68/0.98  21 ca_Vx2(A) | -cp(f5(A)) # label(axiom_5) # label(axiom).  [clausify(6)].
% 0.68/0.98  Derived: ca_Vx2(A) | ra_Px1(f5(A),f3(f5(A))).  [resolve(21,b,20,a)].
% 0.68/0.98  22 -ca_Vx2(A) | -rr1(A,B) | cp(B) # label(axiom_5) # label(axiom).  [clausify(6)].
% 0.68/0.98  Derived: -ca_Vx2(A) | -rr1(A,B) | -ra_Px1(B,C).  [resolve(22,c,19,a)].
% 0.68/0.98  Derived: -ca_Vx2(A) | -rr1(A,f5(B)) | ca_Vx2(B).  [resolve(22,c,21,b)].
% 0.68/0.98  23 -ca_Vx3(A) | -rr1(A,B) | cpxcomp(B) # label(axiom_6) # label(axiom).  [clausify(7)].
% 0.68/0.98  24 ca_Vx2(A) | rr1(A,f5(A)) # label(axiom_5) # label(axiom).  [clausify(6)].
% 0.68/0.98  25 ca_Vx3(A) | rr1(A,f6(A)) # label(axiom_6) # label(axiom).  [clausify(7)].
% 0.68/0.98  Derived: -ca_Vx3(A) | cpxcomp(f5(A)) | ca_Vx2(A).  [resolve(23,b,24,b)].
% 0.68/0.98  26 -ca_Vx2(A) | -rr1(A,B) | -ra_Px1(B,C).  [resolve(22,c,19,a)].
% 0.68/0.98  Derived: -ca_Vx2(A) | -ra_Px1(f6(A),B) | ca_Vx3(A).  [resolve(26,b,25,b)].
% 0.68/0.98  27 -ca_Vx2(A) | -rr1(A,f5(B)) | ca_Vx2(B).  [resolve(22,c,21,b)].
% 0.68/0.98  28 -rinvR(A,B) | rr(B,A) # label(axiom_9) # label(axiom).  [clausify(10)].
% 0.68/0.98  29 ca_Vx4(A) | rinvR(A,f7(A)) # label(axiom_7) # label(axiom).  [clausify(8)].
% 0.68/0.98  30 ca_Vx5(A) | rinvR(A,f8(A)) # label(axiom_8) # label(axiom).  [clausify(9)].
% 0.68/0.98  Derived: rr(f7(A),A) | ca_Vx4(A).  [resolve(28,a,29,b)].
% 0.68/0.98  Derived: rr(f8(A),A) | ca_Vx5(A).  [resolve(28,a,30,b)].
% 0.68/0.98  31 rinvR(A,B) | -rr(B,A) # label(axiom_9) # label(axiom).  [clausify(10)].
% 0.68/0.98  32 -ca_Vx4(A) | -rinvR(A,B) | ca_Vx2(B) # label(axiom_7) # label(axiom).  [clausify(8)].
% 0.68/0.98  Derived: -ca_Vx4(A) | ca_Vx2(f8(A)) | ca_Vx5(A).  [resolve(32,b,30,b)].
% 0.68/0.98  Derived: -ca_Vx4(A) | ca_Vx2(B) | -rr(B,A).  [resolve(32,b,31,a)].
% 0.68/0.98  33 -ca_Vx5(A) | -rinvR(A,B) | ca_Vx3(B) # label(axiom_8) # label(axiom).  [clausify(9)].
% 0.68/0.98  Derived: -ca_Vx5(A) | ca_Vx3(f7(A)) | ca_Vx4(A).  [resolve(33,b,29,b)].
% 0.68/0.98  Derived: -ca_Vx5(A) | ca_Vx3(B) | -rr(B,A).  [resolve(33,b,31,a)].
% 0.68/0.98  34 ca_Vx3(A) | -cpxcomp(f6(A)) # label(axiom_6) # label(axiom).  [clausify(7)].
% 0.68/0.98  35 cpxcomp(A) | -ra_Px1(A,B) # label(axiom_4) # label(axiom).  [clausify(5)].
% 0.68/0.98  Derived: ca_Vx3(A) | -ra_Px1(f6(A),B).  [resolve(34,b,35,a)].
% 0.68/0.98  36 -cpxcomp(A) | ra_Px1(A,f4(A)) # label(axiom_4) # label(axiom).  [clausify(5)].
% 0.68/0.98  Derived: ra_Px1(A,f4(A)) | -ra_Px1(A,B).  [resolve(36,a,35,a)].
% 0.68/0.98  37 -ca_Vx3(A) | cpxcomp(f5(A)) | ca_Vx2(A).  [resolve(23,b,24,b)].
% 0.68/0.98  Derived: -ca_Vx3(A) | ca_Vx2(A) | ra_Px1(f5(A),f4(f5(A))).  [resolve(37,b,36,a)].
% 0.68/0.98  38 ca_Vx2(A) | ra_Px1(f5(A),f3(f5(A))).  [resolve(21,b,20,a)].
% 0.68/0.98  39 ca_Vx4(A) | -ca_Vx2(f7(A)) # label(axiom_7) # label(axiom).  [clausify(8)].
% 0.68/0.98  Derived: ra_Px1(f5(f7(A)),f3(f5(f7(A)))) | ca_Vx4(A).  [resolve(38,a,39,b)].
% 0.68/0.98  40 -ca_Vx2(A) | -ra_Px1(f6(A),B) | ca_Vx3(A).  [resolve(26,b,25,b)].
% 0.68/0.98  41 -ca_Vx4(A) | ca_Vx2(f8(A)) | ca_Vx5(A).  [resolve(32,b,30,b)].
% 0.68/0.98  42 -ca_Vx4(A) | ca_Vx2(B) | -rr(B,A).  [resolve(32,b,31,a)].
% 0.68/0.98  Derived: -ca_Vx4(A) | -rr(f7(B),A) | ca_Vx4(B).  [resolve(42,b,39,b)].
% 0.68/0.98  43 -ca_Vx3(A) | ca_Vx2(A) | ra_Px1(f5(A),f4(f5(A))).  [resolve(37,b,36,a)].
% 0.68/0.98  Derived: -ca_Vx3(f7(A)) | ra_Px1(f5(f7(A)),f4(f5(f7(A)))) | ca_Vx4(A).  [resolve(43,b,39,b)].
% 0.68/0.98  44 -ca_Vx5(A) | ca_Vx3(f7(A)) | ca_Vx4(A).  [resolve(33,b,29,b)].
% 0.68/0.98  45 ca_Vx5(A) | -ca_Vx3(f8(A)) # label(axiom_8) # label(axiom).  [clausify(9)].
% 0.68/0.98  46 -ca_Vx5(A) | ca_Vx3(B) | -rr(B,A).  [resolve(33,b,31,a)].
% 0.68/0.98  Derived: -ca_Vx5(A) | -rr(f8(B),A) | ca_Vx5(B).  [resolve(46,b,45,b)].
% 0.68/0.98  47 ca_Vx3(A) | -ra_Px1(f6(A),B).  [resolve(34,b,35,a)].
% 0.68/0.98  Derived: -ra_Px1(f6(f8(A)),B) | ca_Vx5(A).  [resolve(47,a,45,b)].
% 0.68/0.98  48 -ca_Vx3(f7(A)) | ra_Px1(f5(f7(A)),f4(f5(f7(A)))) | ca_Vx4(A).  [resolve(43,b,39,b)].
% 0.68/0.98  Derived: ra_Px1(f5(f7(A)),f4(f5(f7(A)))) | ca_Vx4(A) | -ca_Vx5(A) | ca_Vx4(A).  [resolve(48,a,44,b)].
% 0.68/0.98  Derived: ra_Px1(f5(f7(A)),f4(f5(f7(A)))) | ca_Vx4(A) | -ca_Vx5(B) | -rr(f7(A),B).  [resolve(48,a,46,b)].
% 0.68/0.98  Derived: ra_Px1(f5(f7(A)),f4(f5(f7(A)))) | ca_Vx4(A) | -ra_Px1(f6(f7(A)),B).  [resolve(48,a,47,a)].
% 0.68/0.98  
% 0.68/0.98  ============================== end predicate elimination =============
% 0.68/0.98  
% 0.68/0.98  Auto_denials:  (non-Horn, no changes).
% 0.68/0.98  
% 0.68/0.98  Term ordering decisions:
% 0.68/0.98  Function symbol KB weights:  i2003_11_14_17_16_39209=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1.
% 0.68/0.98  
% 0.68/0.98  ============================== end of process initial clauses ========
% 0.68/0.98  
% 0.68/0.98  ============================== CLAUSES FOR SEARCH ====================
% 0.68/0.98  
% 0.68/0.98  ============================== end of clauses for search =============
% 0.68/0.98  
% 0.68/0.98  ============================== SEARCH ================================
% 0.68/0.98  
% 0.68/0.98  % Starting search at 0.01 seconds.
% 0.68/0.98  
% 0.68/0.98  ============================== STATISTICS ============================
% 0.68/0.98  
% 0.68/0.98  Given=21. Generated=77. Kept=24. proofs=0.
% 0.68/0.98  Usable=21. Sos=0. Demods=0. Limbo=0, Disabled=62. Hints=0.
% 0.68/0.98  Megabytes=0.07.
% 0.68/0.98  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.68/0.98  
% 0.68/0.98  ============================== end of statistics =====================
% 0.68/0.98  
% 0.68/0.98  ============================== end of search =========================
% 0.68/0.98  
% 0.68/0.98  SEARCH FAILED
% 0.68/0.98  
% 0.68/0.98  Exiting with failure.
% 0.68/0.98  
% 0.68/0.98  Process 32150 exit (sos_empty) Tue Jun  7 18:53:48 2022
% 0.68/0.98  Prover9 interrupted
%------------------------------------------------------------------------------