TSTP Solution File: PUZ018-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : PUZ018-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n026.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 : Mon Jul 18 18:23:51 EDT 2022

% Result   : Unknown 0.75s 1.03s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ018-2 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun May 29 00:12:54 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.75/1.01  ============================== Prover9 ===============================
% 0.75/1.01  Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.01  Process 25110 was started by sandbox on n026.cluster.edu,
% 0.75/1.01  Sun May 29 00:12:54 2022
% 0.75/1.01  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_24736_n026.cluster.edu".
% 0.75/1.01  ============================== end of head ===========================
% 0.75/1.01  
% 0.75/1.01  ============================== INPUT =================================
% 0.75/1.01  
% 0.75/1.01  % Reading from file /tmp/Prover9_24736_n026.cluster.edu
% 0.75/1.01  
% 0.75/1.01  set(prolog_style_variables).
% 0.75/1.01  set(auto2).
% 0.75/1.01      % set(auto2) -> set(auto).
% 0.75/1.01      % set(auto) -> set(auto_inference).
% 0.75/1.01      % set(auto) -> set(auto_setup).
% 0.75/1.01      % set(auto_setup) -> set(predicate_elim).
% 0.75/1.01      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.01      % set(auto) -> set(auto_limits).
% 0.75/1.01      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.01      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.01      % set(auto) -> set(auto_denials).
% 0.75/1.01      % set(auto) -> set(auto_process).
% 0.75/1.01      % set(auto2) -> assign(new_constants, 1).
% 0.75/1.01      % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.01      % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.01      % set(auto2) -> assign(max_hours, 1).
% 0.75/1.01      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.01      % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.01      % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.01      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.01      % set(auto2) -> set(sort_initial_sos).
% 0.75/1.01      % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.01      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.01      % set(auto2) -> assign(max_megs, 400).
% 0.75/1.01      % set(auto2) -> assign(stats, some).
% 0.75/1.01      % set(auto2) -> clear(echo_input).
% 0.75/1.01      % set(auto2) -> set(quiet).
% 0.75/1.01      % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.01      % set(auto2) -> clear(print_given).
% 0.75/1.01  assign(lrs_ticks,-1).
% 0.75/1.01  assign(sos_limit,10000).
% 0.75/1.01  assign(order,kbo).
% 0.75/1.01  set(lex_order_vars).
% 0.75/1.01  clear(print_given).
% 0.75/1.01  
% 0.75/1.01  % formulas(sos).  % not echoed (47 formulas)
% 0.75/1.01  
% 0.75/1.01  ============================== end of input ==========================
% 0.75/1.01  
% 0.75/1.01  % From the command line: assign(max_seconds, 300).
% 0.75/1.01  
% 0.75/1.01  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.01  
% 0.75/1.01  % Formulas that are not ordinary clauses:
% 0.75/1.01  
% 0.75/1.01  ============================== end of process non-clausal formulas ===
% 0.75/1.01  
% 0.75/1.01  ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.01  
% 0.75/1.01  ============================== PREDICATE ELIMINATION =================
% 0.75/1.01  1 -same_person(a,b) # label(a_not_b) # label(axiom).  [assumption].
% 0.75/1.01  2 same_person(A,A) # label(reflexivity_for_same_person) # label(axiom).  [assumption].
% 0.75/1.01  3 on(A,B) | on(A,C) | on(D,B) | on(D,C) | same_person(A,D) | same_day(B,C) # label(no_two_off_twice_together) # label(axiom).  [assumption].
% 0.75/1.01  Derived: on(a,A) | on(a,B) | on(b,A) | on(b,B) | same_day(A,B).  [resolve(1,a,3,e)].
% 0.75/1.01  4 -same_person(a,c) # label(a_not_c) # label(axiom).  [assumption].
% 0.75/1.01  Derived: on(a,A) | on(a,B) | on(c,A) | on(c,B) | same_day(A,B).  [resolve(4,a,3,e)].
% 0.75/1.01  5 -same_person(b,c) # label(b_not_c) # label(axiom).  [assumption].
% 0.75/1.01  Derived: on(b,A) | on(b,B) | on(c,A) | on(c,B) | same_day(A,B).  [resolve(5,a,3,e)].
% 0.75/1.01  6 -same_day(sunday,monday) # label(sunday_not_monday) # label(axiom).  [assumption].
% 0.75/1.01  7 same_day(A,A) # label(reflexivity_for_same_day) # label(axiom).  [assumption].
% 0.75/1.01  8 -same_day(sunday,tuesday) # label(sunday_not_tuesday) # label(axiom).  [assumption].
% 0.75/1.01  9 -same_day(sunday,wednesday) # label(sunday_not_wednesday) # label(axiom).  [assumption].
% 0.75/1.01  10 -same_day(sunday,thursday) # label(sunday_not_thursday) # label(axiom).  [assumption].
% 0.75/1.01  11 -same_day(sunday,friday) # label(sunday_not_friday) # label(axiom).  [assumption].
% 0.75/1.01  12 -same_day(sunday,saturday) # label(sunday_not_saturday) # label(axiom).  [assumption].
% 0.75/1.01  13 -same_day(monday,tuesday) # label(monday_not_tuesday) # label(axiom).  [assumption].
% 0.75/1.01  14 -same_day(monday,wednesday) # label(monday_not_wednesday) # label(axiom).  [assumption].
% 0.75/1.01  15 -same_day(monday,thursday) # label(monday_not_thursday) # label(axiom).  [assumption].
% 0.75/1.01  16 -same_day(monday,friday) # label(monday_not_friday) # label(axiom).  [assumption].
% 0.75/1.01  17 -same_day(monday,saturday) # label(monday_not_saturday) # label(axiom).  [assumption].
% 0.75/1.01  18 -same_day(tuesday,wednesday) # label(tuesday_not_wednesday) # label(axiom).  [assumption].
% 0.75/1.01  19 -same_day(tuesday,thursday) # label(tuesday_not_thursday) # label(axiom).  [assumption].
% 0.75/1.01  20 -same_day(tuesday,friday) # label(tuesday_not_friday) # label(axiom).  [assumption].
% 0.75/1.01  21 -same_day(tuesday,saturday) # label(tuesday_not_saturday) # label(axiom).  [assumption].
% 0.75/1.01  22 -same_day(wednesday,thursday) # label(wednesday_not_thursday) # label(axiom).  [assumption].
% 0.75/1.01  23 -same_day(wednesday,friday) # label(wednesday_not_friday) # label(axiom).  [assumption].
% 0.75/1.01  24 -same_day(wednesday,saturday) # label(wednesday_not_saturday) # label(axiom).  [assumption].
% 0.75/1.01  25 -same_day(thursday,friday) # label(thursday_not_friday) # label(axiom).  [assumption].
% 0.75/1.01  26 -same_day(thursday,saturday) # label(thursday_not_saturday) # label(axiom).  [assumption].
% 0.75/1.01  27 -same_day(friday,saturday) # label(friday_not_saturday) # label(axiom).  [assumption].
% 0.75/1.01  28 -all_on(A) | -all_on(B) | same_day(A,B) # label(all_on_well_defined) # label(axiom).  [assumption].
% 0.75/1.01  Derived: -all_on(sunday) | -all_on(monday).  [resolve(28,c,6,a)].
% 0.75/1.01  Derived: -all_on(sunday) | -all_on(tuesday).  [resolve(28,c,8,a)].
% 0.75/1.01  Derived: -all_on(sunday) | -all_on(wednesday).  [resolve(28,c,9,a)].
% 0.75/1.01  Derived: -all_on(sunday) | -all_on(thursday).  [resolve(28,c,10,a)].
% 0.75/1.01  Derived: -all_on(sunday) | -all_on(friday).  [resolve(28,c,11,a)].
% 0.75/1.01  Derived: -all_on(sunday) | -all_on(saturday).  [resolve(28,c,12,a)].
% 0.75/1.01  Derived: -all_on(monday) | -all_on(tuesday).  [resolve(28,c,13,a)].
% 0.75/1.01  Derived: -all_on(monday) | -all_on(wednesday).  [resolve(28,c,14,a)].
% 0.75/1.01  Derived: -all_on(monday) | -all_on(thursday).  [resolve(28,c,15,a)].
% 0.75/1.01  Derived: -all_on(monday) | -all_on(friday).  [resolve(28,c,16,a)].
% 0.75/1.01  Derived: -all_on(monday) | -all_on(saturday).  [resolve(28,c,17,a)].
% 0.75/1.01  Derived: -all_on(tuesday) | -all_on(wednesday).  [resolve(28,c,18,a)].
% 0.75/1.01  Derived: -all_on(tuesday) | -all_on(thursday).  [resolve(28,c,19,a)].
% 0.75/1.01  Derived: -all_on(tuesday) | -all_on(friday).  [resolve(28,c,20,a)].
% 0.75/1.01  Derived: -all_on(tuesday) | -all_on(saturday).  [resolve(28,c,21,a)].
% 0.75/1.01  Derived: -all_on(wednesday) | -all_on(thursday).  [resolve(28,c,22,a)].
% 0.75/1.01  Derived: -all_on(wednesday) | -all_on(friday).  [resolve(28,c,23,a)].
% 0.75/1.01  Derived: -all_on(wednesday) | -all_on(saturday).  [resolve(28,c,24,a)].
% 0.75/1.01  Derived: -all_on(thursday) | -all_on(friday).  [resolve(28,c,25,a)].
% 0.75/1.01  Derived: -all_on(thursday) | -all_on(saturday).  [resolve(28,c,26,a)].
% 0.75/1.01  Derived: -all_on(friday) | -all_on(saturday).  [resolve(28,c,27,a)].
% 0.75/1.01  29 on(a,A) | on(a,B) | on(b,A) | on(b,B) | same_day(A,B).  [resolve(1,a,3,e)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,monday) | on(b,sunday) | on(b,monday).  [resolve(29,e,6,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,tuesday) | on(b,sunday) | on(b,tuesday).  [resolve(29,e,8,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,wednesday) | on(b,sunday) | on(b,wednesday).  [resolve(29,e,9,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,thursday) | on(b,sunday) | on(b,thursday).  [resolve(29,e,10,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,friday) | on(b,sunday) | on(b,friday).  [resolve(29,e,11,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,saturday) | on(b,sunday) | on(b,saturday).  [resolve(29,e,12,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,tuesday) | on(b,monday) | on(b,tuesday).  [resolve(29,e,13,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,wednesday) | on(b,monday) | on(b,wednesday).  [resolve(29,e,14,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,thursday) | on(b,monday) | on(b,thursday).  [resolve(29,e,15,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,friday) | on(b,monday) | on(b,friday).  [resolve(29,e,16,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,saturday) | on(b,monday) | on(b,saturday).  [resolve(29,e,17,a)].
% 0.75/1.01  Derived: on(a,tuesday) | on(a,wednesday) | on(b,tuesday) | on(b,wednesday).  [resolve(29,e,18,a)].
% 0.75/1.01  Derived: on(a,tuesday) | on(a,thursday) | on(b,tuesday) | on(b,thursday).  [resolve(29,e,19,a)].
% 0.75/1.01  Derived: on(a,tuesday) | on(a,friday) | on(b,tuesday) | on(b,friday).  [resolve(29,e,20,a)].
% 0.75/1.01  Derived: on(a,tuesday) | on(a,saturday) | on(b,tuesday) | on(b,saturday).  [resolve(29,e,21,a)].
% 0.75/1.01  Derived: on(a,wednesday) | on(a,thursday) | on(b,wednesday) | on(b,thursday).  [resolve(29,e,22,a)].
% 0.75/1.01  Derived: on(a,wednesday) | on(a,friday) | on(b,wednesday) | on(b,friday).  [resolve(29,e,23,a)].
% 0.75/1.01  Derived: on(a,wednesday) | on(a,saturday) | on(b,wednesday) | on(b,saturday).  [resolve(29,e,24,a)].
% 0.75/1.01  Derived: on(a,thursday) | on(a,friday) | on(b,thursday) | on(b,friday).  [resolve(29,e,25,a)].
% 0.75/1.01  Derived: on(a,thursday) | on(a,saturday) | on(b,thursday) | on(b,saturday).  [resolve(29,e,26,a)].
% 0.75/1.01  Derived: on(a,friday) | on(a,saturday) | on(b,friday) | on(b,saturday).  [resolve(29,e,27,a)].
% 0.75/1.01  30 on(a,A) | on(a,B) | on(c,A) | on(c,B) | same_day(A,B).  [resolve(4,a,3,e)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,monday) | on(c,sunday) | on(c,monday).  [resolve(30,e,6,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,tuesday) | on(c,sunday) | on(c,tuesday).  [resolve(30,e,8,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,wednesday) | on(c,sunday) | on(c,wednesday).  [resolve(30,e,9,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,thursday) | on(c,sunday) | on(c,thursday).  [resolve(30,e,10,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,friday) | on(c,sunday) | on(c,friday).  [resolve(30,e,11,a)].
% 0.75/1.01  Derived: on(a,sunday) | on(a,saturday) | on(c,sunday) | on(c,saturday).  [resolve(30,e,12,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,tuesday) | on(c,monday) | on(c,tuesday).  [resolve(30,e,13,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,wednesday) | on(c,monday) | on(c,wednesday).  [resolve(30,e,14,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,thursday) | on(c,monday) | on(c,thursday).  [resolve(30,e,15,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,friday) | on(c,monday) | on(c,friday).  [resolve(30,e,16,a)].
% 0.75/1.01  Derived: on(a,monday) | on(a,saturday) | on(c,monday) | on(c,saturday).  [resolve(30,e,17,a)].
% 0.75/1.01  Derived: on(a,tuesday) | on(a,wednesday) | on(c,tuesday) | on(c,wednesday).  [resolve(30,e,18,a)].
% 0.75/1.01  Derived: on(a,tuesday) | on(a,thursday) | on(c,tuesday) | on(c,thursday).  [resolve(30,e,19,a)].
% 0.75/1.01  Derived: on(a,tuesday) | on(a,friday) | on(c,tuesday) | on(c,friday).  [resolve(30,e,20,a)].
% 0.75/1.01  Derived: on(a,tuesday) | on(a,saturday) | on(c,tuesday) | on(c,saturday).  [resolve(30,e,21,a)].
% 0.75/1.01  Derived: on(a,wednesday) | on(a,thursday) | on(c,wednesday) | on(c,thursday).  [resolve(30,e,22,a)].
% 0.75/1.01  Derived: on(a,wednesday) | on(a,friday) | on(c,wednesday) | on(c,friday).  [resolve(30,e,23,a)].
% 0.75/1.01  Derived: on(a,wednesday) | on(a,saturday) | on(c,wednesday) | on(c,saturday).  [resolve(30,e,24,a)].
% 0.75/1.01  Derived: on(a,thursday) | on(a,friday) | on(c,thursday) | on(c,friday).  [resolve(30,e,25,a)].
% 0.75/1.01  Derived: on(a,thursday) | on(a,saturday) | on(c,thursday) | on(c,saturday).  [resolve(30,e,26,a)].
% 0.75/1.01  Derived: on(a,friday) | on(a,saturday) | on(c,friday) | on(c,saturday).  [resolve(30,e,27,a)].
% 0.75/1.01  31 on(b,A) | on(b,B) | on(c,A) | on(c,B) | same_day(A,B).  [resolve(5,a,3,e)].
% 0.75/1.01  Derived: on(b,sunday) | on(b,monday) | on(c,sunday) | on(c,monday).  [resolve(31,e,6,a)].
% 0.75/1.01  Derived: on(b,sunday) | on(b,tuesday) | on(c,sunday) | on(c,tuesday).  [resolve(31,e,8,a)].
% 0.75/1.01  Derived: on(b,sunday) | on(b,wednesday) | on(c,sunday) | on(c,wednesday).  [resolve(31,e,9,a)].
% 0.75/1.01  Derived: on(b,sunday) | on(b,thursday) | on(c,sunday) | on(c,thursday).  [resolve(31,e,10,a)].
% 0.75/1.01  Derived: on(b,sunday) | on(b,friday) | on(c,sunday) | on(c,friday).  [resolve(31,e,11,a)].
% 0.75/1.01  Derived: on(b,sunday) | on(b,saturday) | on(c,sunday) | on(c,saturday).  [resolve(31,e,12,a)].
% 0.75/1.01  Derived: on(b,monday) | on(b,tuesday) | on(c,monday) | on(c,tuesday).  [resolve(31,e,13,a)].
% 0.75/1.01  Derived: on(b,monday) | on(b,wednesday) | on(c,monday) | on(c,wednesday).  [resolve(31,e,14,a)].
% 0.75/1.01  Derived: on(b,monday) | on(b,thursday) | on(c,monday) | on(c,thursday).  [resolve(31,e,15,a)].
% 0.75/1.01  Derived: on(b,monday) | on(b,friday) | on(c,monday) | on(c,friday).  [resolve(31,e,16,a)].
% 0.75/1.01  Derived: on(b,monday) | on(b,saturday) | on(c,monday) | on(c,saturday).  [resolve(31,e,17,a)].
% 0.75/1.01  Derived: on(b,tuesday) | on(b,wednesday) | on(c,tuesday) | on(c,wednesday).  [resolve(31,e,18,a)].
% 0.75/1.01  Derived: on(b,tuesday) | on(b,thursday) | on(c,tuesday) | on(c,thursday).  [resolve(31,e,19,a)].
% 0.75/1.01  Derived: on(b,tuesday) | on(b,friday) | on(c,tuesday) | on(c,friday).  [resolve(31,e,20,a)].
% 0.75/1.01  Derived: on(b,tuesday) | on(b,saturday) | on(c,tuesday) | on(c,saturday).  [resolve(31,e,21,a)].
% 0.75/1.01  Derived: on(b,wednesday) | on(b,thursday) | on(c,wednesday) | on(c,thursday).  [resolve(31,e,22,a)].
% 0.75/1.03  Derived: on(b,wednesday) | on(b,friday) | on(c,wednesday) | on(c,friday).  [resolve(31,e,23,a)].
% 0.75/1.03  Derived: on(b,wednesday) | on(b,saturday) | on(c,wednesday) | on(c,saturday).  [resolve(31,e,24,a)].
% 0.75/1.03  Derived: on(b,thursday) | on(b,friday) | on(c,thursday) | on(c,friday).  [resolve(31,e,25,a)].
% 0.75/1.03  Derived: on(b,thursday) | on(b,saturday) | on(c,thursday) | on(c,saturday).  [resolve(31,e,26,a)].
% 0.75/1.03  Derived: on(b,friday) | on(b,saturday) | on(c,friday) | on(c,saturday).  [resolve(31,e,27,a)].
% 0.75/1.03  
% 0.75/1.03  ============================== end predicate elimination =============
% 0.75/1.03  
% 0.75/1.03  Auto_denials:  (non-Horn, no changes).
% 0.75/1.03  
% 0.75/1.03  Term ordering decisions:
% 0.75/1.03  Function symbol KB weights:  a=1. b=1. c=1. friday=1. monday=1. saturday=1. sunday=1. thursday=1. tuesday=1. wednesday=1.
% 0.75/1.03  
% 0.75/1.03  ============================== end of process initial clauses ========
% 0.75/1.03  
% 0.75/1.03  ============================== CLAUSES FOR SEARCH ====================
% 0.75/1.03  
% 0.75/1.03  ============================== end of clauses for search =============
% 0.75/1.03  
% 0.75/1.03  ============================== SEARCH ================================
% 0.75/1.03  
% 0.75/1.03  % Starting search at 0.02 seconds.
% 0.75/1.03  
% 0.75/1.03  ============================== STATISTICS ============================
% 0.75/1.03  
% 0.75/1.03  Given=165. Generated=491. Kept=198. proofs=0.
% 0.75/1.03  Usable=97. Sos=0. Demods=0. Limbo=0, Disabled=235. Hints=0.
% 0.75/1.03  Megabytes=0.19.
% 0.75/1.03  User_CPU=0.03, System_CPU=0.00, Wall_clock=0.
% 0.75/1.03  
% 0.75/1.03  ============================== end of statistics =====================
% 0.75/1.03  
% 0.75/1.03  ============================== end of search =========================
% 0.75/1.03  
% 0.75/1.03  SEARCH FAILED
% 0.75/1.03  
% 0.75/1.03  Exiting with failure.
% 0.75/1.03  
% 0.75/1.03  Process 25110 exit (sos_empty) Sun May 29 00:12:54 2022
% 0.75/1.03  Prover9 interrupted
%------------------------------------------------------------------------------