TSTP Solution File: KRS006-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : KRS006-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n022.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 03:24:44 EDT 2022

% Result   : Unknown 0.69s 0.98s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : KRS006-1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n022.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 09:47:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/0.96  ============================== Prover9 ===============================
% 0.41/0.96  Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.96  Process 22581 was started by sandbox on n022.cluster.edu,
% 0.41/0.96  Tue Jun  7 09:47:36 2022
% 0.41/0.96  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_22427_n022.cluster.edu".
% 0.41/0.96  ============================== end of head ===========================
% 0.41/0.96  
% 0.41/0.96  ============================== INPUT =================================
% 0.41/0.96  
% 0.41/0.96  % Reading from file /tmp/Prover9_22427_n022.cluster.edu
% 0.41/0.96  
% 0.41/0.96  set(prolog_style_variables).
% 0.41/0.96  set(auto2).
% 0.41/0.96      % set(auto2) -> set(auto).
% 0.41/0.96      % set(auto) -> set(auto_inference).
% 0.41/0.96      % set(auto) -> set(auto_setup).
% 0.41/0.96      % set(auto_setup) -> set(predicate_elim).
% 0.41/0.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.96      % set(auto) -> set(auto_limits).
% 0.41/0.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.96      % set(auto) -> set(auto_denials).
% 0.41/0.96      % set(auto) -> set(auto_process).
% 0.41/0.96      % set(auto2) -> assign(new_constants, 1).
% 0.41/0.96      % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.96      % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.96      % set(auto2) -> assign(max_hours, 1).
% 0.41/0.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.96      % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.96      % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.96      % set(auto2) -> set(sort_initial_sos).
% 0.41/0.96      % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.96      % set(auto2) -> assign(max_megs, 400).
% 0.41/0.96      % set(auto2) -> assign(stats, some).
% 0.41/0.96      % set(auto2) -> clear(echo_input).
% 0.41/0.96      % set(auto2) -> set(quiet).
% 0.41/0.96      % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.96      % set(auto2) -> clear(print_given).
% 0.41/0.96  assign(lrs_ticks,-1).
% 0.41/0.96  assign(sos_limit,10000).
% 0.41/0.96  assign(order,kbo).
% 0.41/0.96  set(lex_order_vars).
% 0.41/0.96  clear(print_given).
% 0.41/0.96  
% 0.41/0.96  % formulas(sos).  % not echoed (27 formulas)
% 0.41/0.96  
% 0.41/0.96  ============================== end of input ==========================
% 0.41/0.96  
% 0.41/0.96  % From the command line: assign(max_seconds, 300).
% 0.41/0.96  
% 0.41/0.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.96  
% 0.41/0.96  % Formulas that are not ordinary clauses:
% 0.41/0.96  
% 0.41/0.96  ============================== end of process non-clausal formulas ===
% 0.41/0.96  
% 0.41/0.96  ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/0.96  
% 0.41/0.96  ============================== PREDICATE ELIMINATION =================
% 0.41/0.96  1 r1most(A) | -e(A) # label(clause_22) # label(axiom).  [assumption].
% 0.41/0.96  2 e(exist) # label(clause_1) # label(negated_conjecture).  [assumption].
% 0.41/0.96  Derived: r1most(exist).  [resolve(1,b,2,a)].
% 0.41/0.96  3 d(u4r2(A)) | -e(A) # label(clause_18) # label(axiom).  [assumption].
% 0.41/0.96  Derived: d(u4r2(exist)).  [resolve(3,b,2,a)].
% 0.41/0.96  4 c(u4r1(A)) | -e(A) # label(clause_20) # label(axiom).  [assumption].
% 0.41/0.96  Derived: c(u4r1(exist)).  [resolve(4,b,2,a)].
% 0.41/0.96  5 r(A,u4r2(A)) | -e(A) # label(clause_19) # label(axiom).  [assumption].
% 0.41/0.96  Derived: r(exist,u4r2(exist)).  [resolve(5,b,2,a)].
% 0.41/0.96  6 r(A,u4r1(A)) | -e(A) # label(clause_21) # label(axiom).  [assumption].
% 0.41/0.96  Derived: r(exist,u4r1(exist)).  [resolve(6,b,2,a)].
% 0.41/0.96  7 e(A) | -r1most(A) | -r(A,B) | -c(B) | -r(A,C) | -d(C) # label(clause_23) # label(axiom).  [assumption].
% 0.41/0.97  Derived: -r1most(A) | -r(A,B) | -c(B) | -r(A,C) | -d(C) | d(u4r2(A)).  [resolve(7,a,3,b)].
% 0.41/0.97  Derived: -r1most(A) | -r(A,B) | -c(B) | -r(A,C) | -d(C) | c(u4r1(A)).  [resolve(7,a,4,b)].
% 0.41/0.97  Derived: -r1most(A) | -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r2(A)).  [resolve(7,a,5,b)].
% 0.41/0.97  Derived: -r1most(A) | -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r1(A)).  [resolve(7,a,6,b)].
% 0.41/0.97  8 equalish(A,B) | -r1most(C) | -r(C,A) | -r(C,B) # label(clause_24) # label(axiom).  [assumption].
% 0.41/0.97  9 r1most(exist) # label(clause_2) # label(negated_conjecture).  [assumption].
% 0.41/0.97  10 r1most(A) | r(A,u5r1(A)) # label(clause_26) # label(axiom).  [assumption].
% 0.41/0.97  11 r1most(A) | r(A,u5r2(A)) # label(clause_27) # label(axiom).  [assumption].
% 0.41/0.97  12 r1most(A) | -equalish(u5r2(A),u5r1(A)) # label(clause_25) # label(axiom).  [assumption].
% 0.41/0.97  Derived: equalish(A,B) | -r(exist,A) | -r(exist,B).  [resolve(8,b,9,a)].
% 0.41/0.97  Derived: equalish(A,B) | -r(C,A) | -r(C,B) | r(C,u5r1(C)).  [resolve(8,b,10,a)].
% 0.41/0.97  Derived: equalish(A,B) | -r(C,A) | -r(C,B) | r(C,u5r2(C)).  [resolve(8,b,11,a)].
% 0.41/0.97  Derived: equalish(A,B) | -r(C,A) | -r(C,B) | -equalish(u5r2(C),u5r1(C)).  [resolve(8,b,12,a)].
% 0.41/0.97  13 r1most(exist).  [resolve(1,b,2,a)].
% 0.41/0.97  14 -r1most(A) | -r(A,B) | -c(B) | -r(A,C) | -d(C) | d(u4r2(A)).  [resolve(7,a,3,b)].
% 0.41/0.97  Derived: -r(exist,A) | -c(A) | -r(exist,B) | -d(B) | d(u4r2(exist)).  [resolve(14,a,9,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | d(u4r2(A)) | r(A,u5r1(A)).  [resolve(14,a,10,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | d(u4r2(A)) | r(A,u5r2(A)).  [resolve(14,a,11,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | d(u4r2(A)) | -equalish(u5r2(A),u5r1(A)).  [resolve(14,a,12,a)].
% 0.41/0.97  15 -r1most(A) | -r(A,B) | -c(B) | -r(A,C) | -d(C) | c(u4r1(A)).  [resolve(7,a,4,b)].
% 0.41/0.97  Derived: -r(exist,A) | -c(A) | -r(exist,B) | -d(B) | c(u4r1(exist)).  [resolve(15,a,9,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | c(u4r1(A)) | r(A,u5r1(A)).  [resolve(15,a,10,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | c(u4r1(A)) | r(A,u5r2(A)).  [resolve(15,a,11,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | c(u4r1(A)) | -equalish(u5r2(A),u5r1(A)).  [resolve(15,a,12,a)].
% 0.41/0.97  16 -r1most(A) | -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r2(A)).  [resolve(7,a,5,b)].
% 0.41/0.97  Derived: -r(exist,A) | -c(A) | -r(exist,B) | -d(B) | r(exist,u4r2(exist)).  [resolve(16,a,9,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r2(A)) | r(A,u5r1(A)).  [resolve(16,a,10,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r2(A)) | r(A,u5r2(A)).  [resolve(16,a,11,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r2(A)) | -equalish(u5r2(A),u5r1(A)).  [resolve(16,a,12,a)].
% 0.41/0.97  17 -r1most(A) | -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r1(A)).  [resolve(7,a,6,b)].
% 0.41/0.97  Derived: -r(exist,A) | -c(A) | -r(exist,B) | -d(B) | r(exist,u4r1(exist)).  [resolve(17,a,9,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r1(A)) | r(A,u5r1(A)).  [resolve(17,a,10,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r1(A)) | r(A,u5r2(A)).  [resolve(17,a,11,a)].
% 0.41/0.97  Derived: -r(A,B) | -c(B) | -r(A,C) | -d(C) | r(A,u4r1(A)) | -equalish(u5r2(A),u5r1(A)).  [resolve(17,a,12,a)].
% 0.41/0.97  18 d(A) | -s1most(A) # label(clause_13) # label(axiom).  [assumption].
% 0.41/0.97  19 s1most(A) | s(A,u3r1(A)) # label(clause_16) # label(axiom).  [assumption].
% 0.41/0.97  20 s1most(A) | s(A,u3r2(A)) # label(clause_17) # label(axiom).  [assumption].
% 0.41/0.97  21 s1most(A) | -d(A) # label(clause_12) # label(axiom).  [assumption].
% 0.41/0.97  Derived: d(A) | s(A,u3r1(A)).  [resolve(18,b,19,a)].
% 0.41/0.97  Derived: d(A) | s(A,u3r2(A)).  [resolve(18,b,20,a)].
% 0.41/0.97  22 s1most(A) | -equalish(u3r2(A),u3r1(A)) # label(clause_15) # label(axiom).  [assumption].
% 0.41/0.97  Derived: -equalish(u3r2(A),u3r1(A)) | d(A).  [resolve(22,a,18,b)].
% 0.41/0.97  23 equalish(A,B) | -s1most(C) | -s(C,A) | -s(C,B) # label(clause_14) # label(axiom).  [assumption].
% 0.41/0.97  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | s(C,u3r1(C)).  [resolve(23,b,19,a)].
% 0.41/0.97  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | s(C,u3r2(C)).  [resolve(23,b,20,a)].
% 0.41/0.97  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | -d(C).  [resolve(23,b,21,a)].
% 0.41/0.97  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | -equalish(u3r2(C),u3r1(C)).  [resolve(23,b,22,a)].
% 0.41/0.97  24 s2least(A) | -c(A) # label(clause_6) # label(axiom).  [assumption].
% 0.41/0.97  25 -s2least(A) | -equalish(u1r2(A),u1r1(A)) # label(clause_8) # label(axiom).  [assumption].
% 0.41/0.97  Derived: -c(A) | -equalish(u1r2(A),u1r1(A)).  [resolve(24,a,25,a)].
% 0.41/0.97  26 c(A) | -s2least(A) # label(clause_7) # label(axiom).  [assumption].
% 0.41/0.97  27 s(A,u1r1(A)) | -s2least(A) # label(clause_9) # label(axiom).  [assumption].
% 0.41/0.97  Derived: s(A,u1r1(A)) | -c(A).  [resolve(27,b,24,a)].
% 0.41/0.97  28 s(A,u1r2(A)) | -s2least(A) # label(clause_10) # label(axiom).  [assumption].
% 0.41/0.97  Derived: s(A,u1r2(A)) | -c(A).  [resolve(28,b,24,a)].
% 0.41/0.97  29 s2least(A) | equalish(B,C) | -s(A,B) | -s(A,C) # label(clause_11) # label(axiom).  [assumption].
% 0.41/0.97  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | -equalish(u1r2(C),u1r1(C)).  [resolve(29,a,25,a)].
% 0.41/0.97  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | c(C).  [resolve(29,a,26,b)].
% 0.41/0.97  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | s(C,u1r1(C)).  [resolve(29,a,27,b)].
% 0.41/0.97  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | s(C,u1r2(C)).  [resolve(29,a,28,b)].
% 0.69/0.98  
% 0.69/0.98  ============================== end predicate elimination =============
% 0.69/0.98  
% 0.69/0.98  Auto_denials:  (non-Horn, no changes).
% 0.69/0.98  
% 0.69/0.98  Term ordering decisions:
% 0.69/0.98  Function symbol KB weights:  exist=1. u4r1=1. u4r2=1. u5r1=1. u5r2=1. u3r1=1. u3r2=1. u1r1=1. u1r2=1.
% 0.69/0.98  
% 0.69/0.98  ============================== end of process initial clauses ========
% 0.69/0.98  
% 0.69/0.98  ============================== CLAUSES FOR SEARCH ====================
% 0.69/0.98  
% 0.69/0.98  ============================== end of clauses for search =============
% 0.69/0.98  
% 0.69/0.98  ============================== SEARCH ================================
% 0.69/0.98  
% 0.69/0.98  % Starting search at 0.02 seconds.
% 0.69/0.98  
% 0.69/0.98  ============================== STATISTICS ============================
% 0.69/0.98  
% 0.69/0.98  Given=87. Generated=316. Kept=117. proofs=0.
% 0.69/0.98  Usable=76. Sos=0. Demods=0. Limbo=0, Disabled=111. Hints=0.
% 0.69/0.98  Megabytes=0.13.
% 0.69/0.98  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.69/0.98  
% 0.69/0.98  ============================== end of statistics =====================
% 0.69/0.98  
% 0.69/0.98  ============================== end of search =========================
% 0.69/0.98  
% 0.69/0.98  SEARCH FAILED
% 0.69/0.98  
% 0.69/0.98  Exiting with failure.
% 0.69/0.98  
% 0.69/0.98  Process 22581 exit (sos_empty) Tue Jun  7 09:47:36 2022
% 0.69/0.98  Prover9 interrupted
%------------------------------------------------------------------------------