TSTP Solution File: PUZ028-5 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : PUZ028-5 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n021.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 18:23:52 EDT 2022

% Result   : Unsatisfiable 0.82s 1.09s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ028-5 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n021.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 : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat May 28 19:57:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.82/1.09  ============================== Prover9 ===============================
% 0.82/1.09  Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.09  Process 31735 was started by sandbox2 on n021.cluster.edu,
% 0.82/1.09  Sat May 28 19:57:58 2022
% 0.82/1.09  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31431_n021.cluster.edu".
% 0.82/1.09  ============================== end of head ===========================
% 0.82/1.09  
% 0.82/1.09  ============================== INPUT =================================
% 0.82/1.09  
% 0.82/1.09  % Reading from file /tmp/Prover9_31431_n021.cluster.edu
% 0.82/1.09  
% 0.82/1.09  set(prolog_style_variables).
% 0.82/1.09  set(auto2).
% 0.82/1.09      % set(auto2) -> set(auto).
% 0.82/1.09      % set(auto) -> set(auto_inference).
% 0.82/1.09      % set(auto) -> set(auto_setup).
% 0.82/1.09      % set(auto_setup) -> set(predicate_elim).
% 0.82/1.09      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.09      % set(auto) -> set(auto_limits).
% 0.82/1.09      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.09      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.09      % set(auto) -> set(auto_denials).
% 0.82/1.09      % set(auto) -> set(auto_process).
% 0.82/1.09      % set(auto2) -> assign(new_constants, 1).
% 0.82/1.09      % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.09      % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.09      % set(auto2) -> assign(max_hours, 1).
% 0.82/1.09      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.09      % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.09      % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.09      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.09      % set(auto2) -> set(sort_initial_sos).
% 0.82/1.09      % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.09      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.09      % set(auto2) -> assign(max_megs, 400).
% 0.82/1.09      % set(auto2) -> assign(stats, some).
% 0.82/1.09      % set(auto2) -> clear(echo_input).
% 0.82/1.09      % set(auto2) -> set(quiet).
% 0.82/1.09      % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.09      % set(auto2) -> clear(print_given).
% 0.82/1.09  assign(lrs_ticks,-1).
% 0.82/1.09  assign(sos_limit,10000).
% 0.82/1.09  assign(order,kbo).
% 0.82/1.09  set(lex_order_vars).
% 0.82/1.09  clear(print_given).
% 0.82/1.09  
% 0.82/1.09  % formulas(sos).  % not echoed (15 formulas)
% 0.82/1.09  
% 0.82/1.09  ============================== end of input ==========================
% 0.82/1.09  
% 0.82/1.09  % From the command line: assign(max_seconds, 300).
% 0.82/1.09  
% 0.82/1.09  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.09  
% 0.82/1.09  % Formulas that are not ordinary clauses:
% 0.82/1.09  
% 0.82/1.09  ============================== end of process non-clausal formulas ===
% 0.82/1.09  
% 0.82/1.09  ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.09  
% 0.82/1.09  ============================== PREDICATE ELIMINATION =================
% 0.82/1.09  
% 0.82/1.09  ============================== end predicate elimination =============
% 0.82/1.09  
% 0.82/1.09  Auto_denials:  (non-Horn, no changes).
% 0.82/1.09  
% 0.82/1.09  Term ordering decisions:
% 0.82/1.09  Function symbol KB weights:  five=1. four=1. three=1. two=1. one=1. six=1.
% 0.82/1.09  
% 0.82/1.09  ============================== end of process initial clauses ========
% 0.82/1.09  
% 0.82/1.09  ============================== CLAUSES FOR SEARCH ====================
% 0.82/1.09  
% 0.82/1.09  ============================== end of clauses for search =============
% 0.82/1.09  
% 0.82/1.09  ============================== SEARCH ================================
% 0.82/1.09  
% 0.82/1.09  % Starting search at 0.01 seconds.
% 0.82/1.09  
% 0.82/1.09  ============================== PROOF =================================
% 0.82/1.09  % SZS status Unsatisfiable
% 0.82/1.09  % SZS output start Refutation
% 0.82/1.09  
% 0.82/1.09  % Proof 1 at 0.11 (+ 0.01) seconds.
% 0.82/1.09  % Length of proof is 213.
% 0.82/1.09  % Level of proof is 44.
% 0.82/1.09  % Maximum clause weight is 15.000.
% 0.82/1.09  % Given clauses 596.
% 0.82/1.09  
% 0.82/1.09  1 person(one) # label(person1) # label(axiom).  [assumption].
% 0.82/1.09  2 person(two) # label(person2) # label(axiom).  [assumption].
% 0.82/1.09  3 person(three) # label(person3) # label(axiom).  [assumption].
% 0.82/1.09  4 person(four) # label(person4) # label(axiom).  [assumption].
% 0.82/1.09  5 person(five) # label(person5) # label(axiom).  [assumption].
% 0.82/1.09  6 person(six) # label(person6) # label(axiom).  [assumption].
% 0.82/1.09  7 after(one,two) # label(order1) # label(axiom).  [assumption].
% 0.82/1.09  8 after(two,three) # label(order2) # label(axiom).  [assumption].
% 0.82/1.09  9 after(three,four) # label(order3) # label(axiom).  [assumption].
% 0.82/1.09  10 after(four,five) # label(order4) # label(axiom).  [assumption].
% 0.82/1.09  11 after(five,six) # label(order5) # label(axiom).  [assumption].
% 0.82/1.09  12 -familiar(A,B) | -familiar(B,C) | -familiar(A,C) # label(three_familiar) # label(negated_conjecture).  [assumption].
% 0.82/1.09  13 -not_familiar(A,B) | -not_familiar(B,C) | -not_familiar(A,C) # label(three_not_familiar) # label(negated_conjecture).  [assumption].
% 0.82/1.09  14 after(A,B) | -after(A,C) | -after(C,B) # label(transitivity_of_order) # label(axiom).  [assumption].
% 0.82/1.09  15 familiar(A,B) | not_familiar(A,B) | -person(A) | -person(B) | -after(A,B) # label(familiar_or_not) # label(axiom).  [assumption].
% 0.82/1.09  20 after(four,A) | -after(five,A).  [resolve(14,b,10,a)].
% 0.82/1.09  21 after(three,A) | -after(four,A).  [resolve(14,b,9,a)].
% 0.82/1.09  22 after(two,A) | -after(three,A).  [resolve(14,b,8,a)].
% 0.82/1.09  23 after(one,A) | -after(two,A).  [resolve(14,b,7,a)].
% 0.82/1.09  29 familiar(five,six) | not_familiar(five,six).  [resolve(15,e,11,a),unit_del(c,5),unit_del(d,6)].
% 0.82/1.09  30 familiar(four,five) | not_familiar(four,five).  [resolve(15,e,10,a),unit_del(c,4),unit_del(d,5)].
% 0.82/1.09  31 familiar(three,four) | not_familiar(three,four).  [resolve(15,e,9,a),unit_del(c,3),unit_del(d,4)].
% 0.82/1.09  32 familiar(two,three) | not_familiar(two,three).  [resolve(15,e,8,a),unit_del(c,2),unit_del(d,3)].
% 0.82/1.09  33 familiar(one,two) | not_familiar(one,two).  [resolve(15,e,7,a),unit_del(c,1),unit_del(d,2)].
% 0.82/1.09  44 after(four,six).  [resolve(20,b,11,a)].
% 0.82/1.09  45 familiar(four,six) | not_familiar(four,six).  [resolve(44,a,15,e),unit_del(c,4),unit_del(d,6)].
% 0.82/1.09  49 after(three,six).  [resolve(21,b,44,a)].
% 0.82/1.09  50 after(three,five).  [resolve(21,b,10,a)].
% 0.82/1.09  51 familiar(three,six) | not_familiar(three,six).  [resolve(49,a,15,e),unit_del(c,3),unit_del(d,6)].
% 0.82/1.09  55 after(two,six).  [resolve(22,b,49,a)].
% 0.82/1.09  56 after(two,four).  [resolve(22,b,9,a)].
% 0.82/1.09  59 after(two,five).  [resolve(50,a,22,b)].
% 0.82/1.09  60 familiar(three,five) | not_familiar(three,five).  [resolve(50,a,15,e),unit_del(c,3),unit_del(d,5)].
% 0.82/1.09  63 familiar(two,six) | not_familiar(two,six).  [resolve(55,a,15,e),unit_del(c,2),unit_del(d,6)].
% 0.82/1.09  67 familiar(two,four) | not_familiar(two,four).  [resolve(56,a,15,e),unit_del(c,2),unit_del(d,4)].
% 0.82/1.09  72 familiar(two,five) | not_familiar(two,five).  [resolve(59,a,15,e),unit_del(c,2),unit_del(d,5)].
% 0.82/1.09  75 after(one,five).  [resolve(23,b,59,a)].
% 0.82/1.09  76 after(one,four).  [resolve(23,b,56,a)].
% 0.82/1.09  77 after(one,six).  [resolve(23,b,55,a)].
% 0.82/1.09  78 after(one,three).  [resolve(23,b,8,a)].
% 0.82/1.09  80 familiar(one,five) | not_familiar(one,five).  [resolve(75,a,15,e),unit_del(c,1),unit_del(d,5)].
% 0.82/1.09  85 familiar(one,four) | not_familiar(one,four).  [resolve(76,a,15,e),unit_del(c,1),unit_del(d,4)].
% 0.82/1.09  89 familiar(one,six) | not_familiar(one,six).  [resolve(77,a,15,e),unit_del(c,1),unit_del(d,6)].
% 0.82/1.09  92 familiar(one,three) | not_familiar(one,three).  [resolve(78,a,15,e),unit_del(c,1),unit_del(d,3)].
% 0.82/1.09  96 familiar(five,six) | -not_familiar(A,five) | -not_familiar(A,six).  [resolve(29,b,13,b)].
% 0.82/1.09  99 familiar(four,five) | -not_familiar(A,four) | -not_familiar(A,five).  [resolve(30,b,13,b)].
% 0.82/1.09  102 familiar(three,four) | -not_familiar(A,three) | -not_familiar(A,four).  [resolve(31,b,13,b)].
% 0.82/1.09  103 familiar(three,four) | -not_familiar(four,A) | -not_familiar(three,A).  [resolve(31,b,13,a)].
% 0.82/1.09  105 familiar(two,three) | -not_familiar(A,two) | -not_familiar(A,three).  [resolve(32,b,13,b)].
% 0.82/1.09  106 familiar(two,three) | -not_familiar(three,A) | -not_familiar(two,A).  [resolve(32,b,13,a)].
% 0.82/1.09  109 familiar(one,two) | -not_familiar(two,A) | -not_familiar(one,A).  [resolve(33,b,13,a)].
% 0.82/1.09  111 familiar(four,six) | -not_familiar(A,four) | -not_familiar(A,six).  [resolve(45,b,13,b)].
% 0.82/1.09  114 familiar(three,six) | -not_familiar(A,three) | -not_familiar(A,six).  [resolve(51,b,13,b)].
% 0.82/1.09  117 familiar(three,five) | -not_familiar(A,three) | -not_familiar(A,five).  [resolve(60,b,13,b)].
% 0.82/1.09  144 familiar(five,six) | -not_familiar(one,five) | familiar(one,six).  [resolve(96,c,89,b)].
% 0.82/1.09  145 familiar(five,six) | -not_familiar(two,five) | familiar(two,six).  [resolve(96,c,63,b)].
% 0.82/1.09  146 familiar(five,six) | -not_familiar(three,five) | familiar(three,six).  [resolve(96,c,51,b)].
% 0.82/1.09  147 familiar(five,six) | -not_familiar(four,five) | familiar(four,six).  [resolve(96,c,45,b)].
% 0.82/1.09  152 familiar(four,five) | -not_familiar(one,five) | familiar(one,four).  [resolve(99,b,85,b)].
% 0.82/1.09  153 familiar(four,five) | -not_familiar(two,five) | familiar(two,four).  [resolve(99,b,67,b)].
% 0.82/1.09  154 familiar(four,five) | -not_familiar(three,five) | familiar(three,four).  [resolve(99,b,31,b)].
% 0.82/1.09  160 familiar(three,four) | -not_familiar(one,four) | familiar(one,three).  [resolve(102,b,92,b)].
% 0.82/1.09  161 familiar(three,four) | -not_familiar(two,four) | familiar(two,three).  [resolve(102,b,32,b)].
% 0.82/1.09  163 familiar(three,four) | -not_familiar(four,six) | familiar(three,six).  [resolve(103,c,51,b)].
% 0.82/1.09  168 familiar(two,three) | -not_familiar(one,three) | familiar(one,two).  [resolve(105,b,33,b)].
% 0.82/1.09  169 familiar(two,three) | -not_familiar(three,five) | familiar(two,five).  [resolve(106,c,72,b)].
% 0.82/1.09  171 familiar(two,three) | -not_familiar(three,six) | familiar(two,six).  [resolve(106,c,63,b)].
% 0.82/1.09  177 familiar(one,two) | -not_familiar(two,six) | familiar(one,six).  [resolve(109,c,89,b)].
% 0.82/1.09  178 familiar(one,two) | -not_familiar(two,four) | familiar(one,four).  [resolve(109,c,85,b)].
% 0.82/1.09  179 familiar(one,two) | -not_familiar(two,five) | familiar(one,five).  [resolve(109,c,80,b)].
% 0.82/1.09  183 familiar(four,six) | -not_familiar(one,four) | familiar(one,six).  [resolve(111,c,89,b)].
% 0.82/1.09  184 familiar(four,six) | -not_familiar(two,four) | familiar(two,six).  [resolve(111,c,63,b)].
% 0.82/1.09  189 familiar(three,six) | -not_familiar(one,three) | familiar(one,six).  [resolve(114,c,89,b)].
% 0.82/1.09  195 familiar(three,five) | -not_familiar(one,five) | familiar(one,three).  [resolve(117,b,92,b)].
% 0.82/1.09  230 familiar(five,six) | familiar(one,six) | familiar(one,five).  [resolve(144,b,80,b)].
% 0.82/1.09  231 familiar(five,six) | familiar(two,six) | familiar(two,five).  [resolve(145,b,72,b)].
% 0.82/1.09  232 familiar(five,six) | familiar(three,six) | familiar(three,five).  [resolve(146,b,60,b)].
% 0.82/1.09  233 familiar(five,six) | familiar(four,six) | familiar(four,five).  [resolve(147,b,30,b)].
% 0.82/1.09  234 familiar(four,five) | familiar(one,four) | familiar(one,five).  [resolve(152,b,80,b)].
% 0.82/1.09  235 familiar(four,five) | familiar(two,four) | familiar(two,five).  [resolve(153,b,72,b)].
% 0.82/1.09  236 familiar(four,five) | familiar(three,four) | familiar(three,five).  [resolve(154,b,60,b)].
% 0.82/1.09  237 familiar(three,four) | familiar(one,three) | familiar(one,four).  [resolve(160,b,85,b)].
% 0.82/1.09  238 familiar(three,four) | familiar(two,three) | familiar(two,four).  [resolve(161,b,67,b)].
% 0.82/1.09  239 familiar(three,four) | familiar(three,six) | familiar(four,six).  [resolve(163,b,45,b)].
% 0.82/1.09  240 familiar(two,three) | familiar(one,two) | familiar(one,three).  [resolve(168,b,92,b)].
% 0.82/1.09  241 familiar(two,three) | familiar(two,five) | familiar(three,five).  [resolve(169,b,60,b)].
% 0.82/1.09  242 familiar(two,three) | familiar(two,six) | familiar(three,six).  [resolve(171,b,51,b)].
% 0.82/1.09  243 familiar(one,two) | familiar(one,six) | familiar(two,six).  [resolve(177,b,63,b)].
% 0.82/1.09  244 familiar(one,two) | familiar(one,four) | familiar(two,four).  [resolve(178,b,67,b)].
% 0.82/1.09  245 familiar(one,two) | familiar(one,five) | familiar(two,five).  [resolve(179,b,72,b)].
% 0.82/1.09  246 familiar(four,six) | familiar(one,six) | familiar(one,four).  [resolve(183,b,85,b)].
% 0.82/1.09  247 familiar(four,six) | familiar(two,six) | familiar(two,four).  [resolve(184,b,67,b)].
% 0.82/1.09  248 familiar(three,six) | familiar(one,six) | familiar(one,three).  [resolve(189,b,92,b)].
% 0.82/1.09  249 familiar(three,five) | familiar(one,three) | familiar(one,five).  [resolve(195,b,80,b)].
% 0.82/1.09  250 familiar(five,six) | familiar(one,five) | -familiar(one,A) | -familiar(A,six).  [resolve(230,b,12,c)].
% 0.82/1.09  253 familiar(five,six) | familiar(two,five) | -familiar(two,A) | -familiar(A,six).  [resolve(231,b,12,c)].
% 0.82/1.09  256 familiar(five,six) | familiar(three,five) | -familiar(three,A) | -familiar(A,six).  [resolve(232,b,12,c)].
% 0.82/1.09  262 familiar(four,five) | familiar(one,five) | -familiar(one,A) | -familiar(A,four).  [resolve(234,b,12,c)].
% 0.82/1.09  265 familiar(four,five) | familiar(two,five) | -familiar(two,A) | -familiar(A,four).  [resolve(235,b,12,c)].
% 0.82/1.09  271 familiar(three,four) | familiar(one,four) | -familiar(one,A) | -familiar(A,three).  [resolve(237,b,12,c)].
% 0.82/1.09  273 familiar(three,four) | familiar(one,four) | -familiar(three,A) | -familiar(one,A).  [resolve(237,b,12,a)].
% 0.82/1.09  276 familiar(three,four) | familiar(two,four) | -familiar(three,A) | -familiar(two,A).  [resolve(238,b,12,a)].
% 0.82/1.09  284 familiar(two,five) | familiar(three,five) | -familiar(A,two) | -familiar(A,three).  [resolve(241,a,12,b)].
% 0.82/1.09  286 familiar(two,three) | familiar(three,six) | -familiar(two,A) | -familiar(A,six).  [resolve(242,b,12,c)].
% 0.82/1.09  289 familiar(one,two) | familiar(two,six) | -familiar(one,A) | -familiar(A,six).  [resolve(243,b,12,c)].
% 0.82/1.09  298 familiar(four,six) | familiar(one,four) | -familiar(one,A) | -familiar(A,six).  [resolve(246,b,12,c)].
% 0.82/1.09  301 familiar(four,six) | familiar(two,four) | -familiar(two,A) | -familiar(A,six).  [resolve(247,b,12,c)].
% 0.82/1.09  304 familiar(three,six) | familiar(one,three) | -familiar(one,A) | -familiar(A,six).  [resolve(248,b,12,c)].
% 0.82/1.09  310 familiar(five,six) | familiar(one,five) | -familiar(three,six) | familiar(three,five).  [resolve(250,c,249,b),merge(e)].
% 0.82/1.09  311 familiar(five,six) | familiar(one,five) | -familiar(two,six) | familiar(two,five).  [resolve(250,c,245,a),merge(d)].
% 0.82/1.09  315 familiar(five,six) | familiar(one,five) | -familiar(four,six) | familiar(four,five).  [resolve(250,c,234,b),merge(e)].
% 0.82/1.09  328 familiar(five,six) | familiar(two,five) | -familiar(three,six) | familiar(three,five).  [resolve(253,c,241,a),merge(d)].
% 0.82/1.09  330 familiar(five,six) | familiar(two,five) | -familiar(four,six) | familiar(four,five).  [resolve(253,c,235,b),merge(e)].
% 0.82/1.09  341 familiar(five,six) | familiar(three,five) | -familiar(four,six) | familiar(four,five).  [resolve(256,c,236,b),merge(e)].
% 0.82/1.09  356 familiar(four,five) | familiar(one,five) | -familiar(three,four) | familiar(three,five).  [resolve(262,c,249,b),merge(e)].
% 0.82/1.09  358 familiar(four,five) | familiar(one,five) | -familiar(two,four) | familiar(two,five).  [resolve(262,c,245,a),merge(d)].
% 0.82/1.09  370 familiar(four,five) | familiar(two,five) | -familiar(three,four) | familiar(three,five).  [resolve(265,c,241,a),merge(d)].
% 0.82/1.09  385 familiar(three,four) | familiar(one,four) | -familiar(two,three) | familiar(two,four).  [resolve(271,c,244,a),merge(d)].
% 0.82/1.09  390 familiar(three,four) | familiar(one,four) | -familiar(three,six) | familiar(four,six).  [resolve(273,d,246,b),merge(e)].
% 0.82/1.09  400 familiar(three,four) | familiar(two,four) | -familiar(three,six) | familiar(four,six).  [resolve(276,d,247,b),merge(e)].
% 0.82/1.09  416 familiar(two,five) | familiar(three,five) | -familiar(one,three) | familiar(one,five).  [resolve(284,c,245,a),merge(e)].
% 0.82/1.09  449 familiar(five,six) | familiar(one,five) | familiar(three,five).  [resolve(310,c,232,b),merge(d),merge(e)].
% 0.82/1.09  455 familiar(five,six) | familiar(three,five) | -familiar(one,A) | -familiar(A,five).  [resolve(449,b,12,c)].
% 0.82/1.09  460 familiar(five,six) | familiar(one,five) | familiar(two,five).  [resolve(311,c,231,b),merge(d),merge(e)].
% 0.82/1.09  465 familiar(five,six) | familiar(two,five) | -familiar(one,A) | -familiar(A,five).  [resolve(460,b,12,c)].
% 0.82/1.09  468 familiar(five,six) | familiar(one,five) | familiar(four,five).  [resolve(315,c,233,b),merge(d),merge(e)].
% 0.82/1.09  477 familiar(five,six) | familiar(four,five) | -familiar(one,A) | -familiar(A,five).  [resolve(468,b,12,c)].
% 0.82/1.09  481 familiar(five,six) | familiar(two,five) | familiar(three,five).  [resolve(328,c,232,b),merge(d),merge(e)].
% 0.82/1.09  483 familiar(five,six) | familiar(three,five) | -familiar(two,A) | -familiar(A,five).  [resolve(481,b,12,c)].
% 0.82/1.09  486 familiar(five,six) | familiar(two,five) | familiar(four,five).  [resolve(330,c,233,b),merge(d),merge(e)].
% 0.82/1.09  491 familiar(five,six) | familiar(four,five) | -familiar(two,A) | -familiar(A,five).  [resolve(486,b,12,c)].
% 0.82/1.09  494 familiar(five,six) | familiar(three,five) | familiar(four,five).  [resolve(341,c,233,b),merge(d),merge(e)].
% 0.82/1.09  498 familiar(four,five) | familiar(one,five) | familiar(three,five).  [resolve(356,c,236,b),merge(d),merge(e)].
% 0.82/1.09  504 familiar(four,five) | familiar(three,five) | familiar(one,two) | familiar(two,six) | -familiar(five,six).  [resolve(498,b,289,c)].
% 0.82/1.09  507 familiar(four,five) | familiar(three,five) | -familiar(one,A) | -familiar(A,five).  [resolve(498,b,12,c)].
% 0.82/1.09  510 familiar(four,five) | familiar(one,five) | familiar(two,five).  [resolve(358,c,235,b),merge(d),merge(e)].
% 0.82/1.09  511 familiar(four,five) | familiar(two,five) | familiar(three,six) | familiar(one,three) | -familiar(five,six).  [resolve(510,b,304,c)].
% 0.82/1.09  517 familiar(four,five) | familiar(two,five) | -familiar(one,A) | -familiar(A,five).  [resolve(510,b,12,c)].
% 0.82/1.09  520 familiar(four,five) | familiar(two,five) | familiar(three,five).  [resolve(370,c,236,b),merge(d),merge(e)].
% 0.82/1.09  525 familiar(four,five) | familiar(three,five) | -familiar(five,A) | -familiar(two,A).  [resolve(520,b,12,a)].
% 0.82/1.09  527 familiar(three,four) | familiar(one,four) | familiar(two,four).  [resolve(385,c,238,b),merge(d),merge(e)].
% 0.82/1.09  536 familiar(three,four) | familiar(one,four) | familiar(four,six).  [resolve(390,c,239,b),merge(d),merge(e)].
% 0.82/1.09  543 familiar(three,four) | familiar(four,six) | -familiar(one,A) | -familiar(A,four).  [resolve(536,b,12,c)].
% 0.82/1.09  545 familiar(three,four) | familiar(four,six) | -familiar(four,A) | -familiar(one,A).  [resolve(536,b,12,a)].
% 0.82/1.09  546 familiar(three,four) | familiar(two,four) | familiar(four,six).  [resolve(400,c,239,b),merge(d),merge(e)].
% 0.82/1.09  562 familiar(two,five) | familiar(three,five) | familiar(one,five).  [resolve(416,c,249,b),merge(d),merge(e)].
% 0.82/1.09  564 familiar(two,five) | familiar(three,five) | familiar(four,six) | familiar(one,four) | -familiar(five,six).  [resolve(562,c,298,c)].
% 0.82/1.09  568 familiar(two,five) | familiar(three,five) | -familiar(one,A) | -familiar(A,five).  [resolve(562,c,12,c)].
% 0.82/1.09  585 familiar(five,six) | familiar(three,five) | -familiar(one,two).  [resolve(455,d,481,b),merge(d),merge(e)].
% 0.82/1.09  586 familiar(five,six) | familiar(three,five) | familiar(one,four) | familiar(two,four).  [resolve(585,c,244,a)].
% 0.82/1.09  604 familiar(five,six) | familiar(four,five) | -familiar(one,three).  [resolve(477,d,494,b),merge(d),merge(e)].
% 0.82/1.09  605 familiar(five,six) | familiar(four,five) | -familiar(one,two).  [resolve(477,d,486,b),merge(d),merge(e)].
% 0.82/1.09  609 familiar(five,six) | familiar(four,five) | familiar(two,three) | familiar(one,three).  [resolve(605,c,240,b)].
% 0.82/1.09  613 familiar(five,six) | familiar(four,five) | -familiar(two,three).  [resolve(491,d,494,b),merge(d),merge(e)].
% 0.82/1.09  623 familiar(four,five) | familiar(three,five) | -familiar(one,two).  [resolve(507,d,520,b),merge(d),merge(e)].
% 0.82/1.09  645 familiar(three,four) | familiar(four,six) | -familiar(one,two).  [resolve(543,d,546,b),merge(d),merge(e)].
% 0.82/1.09  646 familiar(three,four) | familiar(four,six) | familiar(one,five) | familiar(two,five).  [resolve(645,c,245,a)].
% 0.82/1.09  698 familiar(five,six) | familiar(four,five) | familiar(two,three).  [resolve(609,d,604,c),merge(d),merge(e)].
% 0.82/1.09  699 familiar(five,six) | familiar(four,five).  [resolve(698,c,613,c),merge(c),merge(d)].
% 0.82/1.09  700 familiar(five,six) | familiar(three,five) | -familiar(two,four).  [resolve(699,b,483,d),merge(b)].
% 0.82/1.09  701 familiar(five,six) | familiar(two,five) | -familiar(one,four).  [resolve(699,b,465,d),merge(b)].
% 0.82/1.09  702 familiar(five,six) | familiar(three,five) | -familiar(one,four).  [resolve(699,b,455,d),merge(b)].
% 0.82/1.09  704 familiar(five,six) | -familiar(A,four) | -familiar(A,five).  [resolve(699,b,12,b)].
% 0.82/1.09  708 familiar(five,six) | familiar(two,five) | familiar(three,four) | familiar(four,six).  [resolve(701,c,536,b)].
% 0.82/1.09  709 familiar(five,six) | familiar(two,five) | familiar(three,four) | familiar(two,four).  [resolve(701,c,527,b)].
% 0.82/1.09  710 familiar(five,six) | familiar(three,five) | familiar(two,four).  [resolve(702,c,586,c),merge(c),merge(d)].
% 0.82/1.09  715 familiar(five,six) | -familiar(two,five) | familiar(three,four) | familiar(four,six).  [resolve(704,b,546,b)].
% 0.82/1.09  719 familiar(five,six) | familiar(three,five).  [resolve(710,c,700,c),merge(c),merge(d)].
% 0.82/1.09  722 familiar(five,six) | -familiar(three,A) | -familiar(A,five).  [resolve(719,b,12,c)].
% 0.82/1.09  723 familiar(five,six) | -familiar(A,three) | -familiar(A,five).  [resolve(719,b,12,b)].
% 0.82/1.09  728 familiar(five,six) | -familiar(three,four).  [resolve(722,c,699,b),merge(c)].
% 0.82/1.09  731 familiar(five,six) | -familiar(two,five) | familiar(three,four) | familiar(two,four).  [resolve(723,b,238,b)].
% 0.82/1.09  751 familiar(three,four) | familiar(four,six) | familiar(two,five) | -familiar(four,five).  [resolve(646,c,545,d),merge(d),merge(e)].
% 0.82/1.09  779 familiar(five,six) | familiar(three,four) | familiar(four,six).  [resolve(715,b,708,b),merge(d),merge(e),merge(f)].
% 0.82/1.09  780 familiar(five,six) | familiar(four,six).  [resolve(779,b,728,b),merge(c)].
% 0.82/1.09  789 familiar(five,six) | familiar(two,five) | -familiar(two,four).  [resolve(780,b,253,d),merge(b)].
% 0.82/1.09  795 familiar(five,six) | familiar(two,five) | familiar(three,four).  [resolve(789,c,709,d),merge(c),merge(d)].
% 0.82/1.09  807 familiar(five,six) | familiar(three,four) | familiar(two,four).  [resolve(731,b,795,b),merge(d),merge(e)].
% 0.82/1.09  808 familiar(five,six) | familiar(three,four) | -familiar(two,five).  [resolve(807,c,704,b),merge(c)].
% 0.82/1.09  813 familiar(five,six) | familiar(three,four).  [resolve(808,c,795,b),merge(c),merge(d)].
% 0.82/1.09  814 familiar(five,six).  [resolve(813,b,728,b),merge(b)].
% 0.82/1.09  817 familiar(two,five) | familiar(three,five) | familiar(four,six) | familiar(one,four).  [back_unit_del(564),unit_del(e,814)].
% 0.82/1.09  823 familiar(four,five) | familiar(two,five) | familiar(three,six) | familiar(one,three).  [back_unit_del(511),unit_del(e,814)].
% 0.82/1.09  824 familiar(four,five) | familiar(three,five) | familiar(one,two) | familiar(two,six).  [back_unit_del(504),unit_del(e,814)].
% 0.82/1.09  830 familiar(four,six) | familiar(two,four) | -familiar(two,five).  [resolve(814,a,301,d)].
% 0.82/1.09  836 familiar(two,three) | familiar(three,six) | -familiar(two,five).  [resolve(814,a,286,d)].
% 0.82/1.09  840 -familiar(A,five) | -familiar(A,six).  [resolve(814,a,12,b)].
% 0.82/1.09  852 familiar(two,five) | familiar(three,five) | familiar(four,six) | -familiar(four,five).  [resolve(817,d,568,c),merge(d),merge(e)].
% 0.82/1.09  899 familiar(four,five) | familiar(three,five) | familiar(two,six).  [resolve(824,c,623,c),merge(d),merge(e)].
% 0.82/1.09  902 familiar(four,five) | familiar(three,five).  [resolve(899,c,525,d),merge(c),merge(d),unit_del(c,814)].
% 0.82/1.09  904 familiar(four,five) | familiar(two,five) | -familiar(one,three).  [resolve(902,b,517,d),merge(b)].
% 0.82/1.09  906 familiar(four,five) | -familiar(A,three) | -familiar(A,five).  [resolve(902,b,12,b)].
% 0.82/1.09  907 familiar(four,five) | -familiar(five,A) | -familiar(three,A).  [resolve(902,b,12,a)].
% 0.82/1.09  914 familiar(four,five) | familiar(two,five) | familiar(three,six).  [resolve(904,c,823,d),merge(c),merge(d)].
% 0.82/1.09  922 familiar(four,five) | familiar(three,six) | familiar(two,three).  [resolve(914,b,836,c),merge(d)].
% 0.82/1.09  929 familiar(four,five) | familiar(three,six) | -familiar(two,five).  [resolve(922,c,906,b),merge(c)].
% 0.82/1.09  934 familiar(four,five) | familiar(three,six).  [resolve(929,c,914,b),merge(c),merge(d)].
% 0.82/1.09  935 familiar(four,five).  [resolve(934,b,907,c),merge(b),unit_del(b,814)].
% 0.82/1.09  936 familiar(two,five) | familiar(three,five) | familiar(four,six).  [back_unit_del(852),unit_del(d,935)].
% 0.82/1.09  937 familiar(three,four) | familiar(four,six) | familiar(two,five).  [back_unit_del(751),unit_del(d,935)].
% 0.82/1.09  941 -familiar(A,four) | -familiar(A,five).  [resolve(935,a,12,b)].
% 0.82/1.09  943 -familiar(four,six).  [ur(840,a,935,a)].
% 0.82/1.09  944 familiar(three,four) | familiar(two,five).  [back_unit_del(937),unit_del(b,943)].
% 0.82/1.09  945 familiar(two,five) | familiar(three,five).  [back_unit_del(936),unit_del(c,943)].
% 0.82/1.09  952 familiar(two,four) | -familiar(two,five).  [back_unit_del(830),unit_del(a,943)].
% 0.82/1.09  977 familiar(three,four) | familiar(two,four).  [back_unit_del(546),unit_del(c,943)].
% 0.82/1.09  1026 familiar(two,four) | familiar(three,five).  [resolve(952,b,945,a)].
% 0.82/1.09  1028 familiar(three,four) | -familiar(two,five).  [resolve(977,b,941,a)].
% 0.82/1.09  1033 familiar(three,five) | -familiar(two,five).  [resolve(1026,a,941,a)].
% 0.82/1.09  1038 familiar(three,four).  [resolve(1028,b,944,b),merge(b)].
% 0.82/1.09  1040 -familiar(three,five).  [resolve(1038,a,941,a)].
% 0.82/1.09  1047 -familiar(two,five).  [back_unit_del(1033),unit_del(a,1040)].
% 0.82/1.09  1056 $F.  [back_unit_del(945),unit_del(a,1047),unit_del(b,1040)].
% 0.82/1.09  
% 0.82/1.09  % SZS output end Refutation
% 0.82/1.09  ============================== end of proof ==========================
% 0.82/1.09  
% 0.82/1.09  ============================== STATISTICS ============================
% 0.82/1.09  
% 0.82/1.09  Given=596. Generated=3759. Kept=1055. proofs=1.
% 0.82/1.09  Usable=238. Sos=22. Demods=0. Limbo=16, Disabled=794. Hints=0.
% 0.82/1.09  Megabytes=0.58.
% 0.82/1.09  User_CPU=0.11, System_CPU=0.01, Wall_clock=0.
% 0.82/1.09  
% 0.82/1.09  ============================== end of statistics =====================
% 0.82/1.09  
% 0.82/1.09  ============================== end of search =========================
% 0.82/1.09  
% 0.82/1.09  THEOREM PROVED
% 0.82/1.09  % SZS status Unsatisfiable
% 0.82/1.09  
% 0.82/1.09  Exiting with 1 proof.
% 0.82/1.09  
% 0.82/1.09  Process 31735 exit (max_proofs) Sat May 28 19:57:58 2022
% 0.82/1.09  Prover9 interrupted
%------------------------------------------------------------------------------