TSTP Solution File: SWV537-1.004 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV537-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n024.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 21:13:36 EDT 2022

% Result   : Unsatisfiable 7.58s 7.88s
% Output   : Refutation 7.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV537-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 18:03:48 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 7.58/7.88  ============================== Prover9 ===============================
% 7.58/7.88  Prover9 (32) version 2009-11A, November 2009.
% 7.58/7.88  Process 13841 was started by sandbox2 on n024.cluster.edu,
% 7.58/7.88  Tue Jun 14 18:03:49 2022
% 7.58/7.88  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_13688_n024.cluster.edu".
% 7.58/7.88  ============================== end of head ===========================
% 7.58/7.88  
% 7.58/7.88  ============================== INPUT =================================
% 7.58/7.88  
% 7.58/7.88  % Reading from file /tmp/Prover9_13688_n024.cluster.edu
% 7.58/7.88  
% 7.58/7.88  set(prolog_style_variables).
% 7.58/7.88  set(auto2).
% 7.58/7.88      % set(auto2) -> set(auto).
% 7.58/7.88      % set(auto) -> set(auto_inference).
% 7.58/7.88      % set(auto) -> set(auto_setup).
% 7.58/7.88      % set(auto_setup) -> set(predicate_elim).
% 7.58/7.88      % set(auto_setup) -> assign(eq_defs, unfold).
% 7.58/7.88      % set(auto) -> set(auto_limits).
% 7.58/7.88      % set(auto_limits) -> assign(max_weight, "100.000").
% 7.58/7.88      % set(auto_limits) -> assign(sos_limit, 20000).
% 7.58/7.88      % set(auto) -> set(auto_denials).
% 7.58/7.88      % set(auto) -> set(auto_process).
% 7.58/7.88      % set(auto2) -> assign(new_constants, 1).
% 7.58/7.88      % set(auto2) -> assign(fold_denial_max, 3).
% 7.58/7.88      % set(auto2) -> assign(max_weight, "200.000").
% 7.58/7.88      % set(auto2) -> assign(max_hours, 1).
% 7.58/7.88      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 7.58/7.88      % set(auto2) -> assign(max_seconds, 0).
% 7.58/7.88      % set(auto2) -> assign(max_minutes, 5).
% 7.58/7.88      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 7.58/7.88      % set(auto2) -> set(sort_initial_sos).
% 7.58/7.88      % set(auto2) -> assign(sos_limit, -1).
% 7.58/7.88      % set(auto2) -> assign(lrs_ticks, 3000).
% 7.58/7.88      % set(auto2) -> assign(max_megs, 400).
% 7.58/7.88      % set(auto2) -> assign(stats, some).
% 7.58/7.88      % set(auto2) -> clear(echo_input).
% 7.58/7.88      % set(auto2) -> set(quiet).
% 7.58/7.88      % set(auto2) -> clear(print_initial_clauses).
% 7.58/7.88      % set(auto2) -> clear(print_given).
% 7.58/7.88  assign(lrs_ticks,-1).
% 7.58/7.88  assign(sos_limit,10000).
% 7.58/7.88  assign(order,kbo).
% 7.58/7.88  set(lex_order_vars).
% 7.58/7.88  clear(print_given).
% 7.58/7.88  
% 7.58/7.88  % formulas(sos).  % not echoed (31 formulas)
% 7.58/7.88  
% 7.58/7.88  ============================== end of input ==========================
% 7.58/7.88  
% 7.58/7.88  % From the command line: assign(max_seconds, 300).
% 7.58/7.88  
% 7.58/7.88  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 7.58/7.88  
% 7.58/7.88  % Formulas that are not ordinary clauses:
% 7.58/7.88  
% 7.58/7.88  ============================== end of process non-clausal formulas ===
% 7.58/7.88  
% 7.58/7.88  ============================== PROCESS INITIAL CLAUSES ===============
% 7.58/7.88  
% 7.58/7.88  ============================== PREDICATE ELIMINATION =================
% 7.58/7.88  
% 7.58/7.88  ============================== end predicate elimination =============
% 7.58/7.88  
% 7.58/7.88  Auto_denials:  (non-Horn, no changes).
% 7.58/7.88  
% 7.58/7.88  Term ordering decisions:
% 7.58/7.88  Function symbol KB weights:  i2=1. i0=1. i3=1. a_467=1. a_471=1. a_475=1. a_481=1. a_485=1. a_479=1. a_489=1. e_465=1. e_468=1. e_470=1. i1=1. i_490=1. a1=1. a_466=1. a_469=1. a_473=1. a_477=1. a_480=1. a_483=1. a_487=1. e_472=1. e_474=1. e_476=1. e_478=1. e_482=1. e_484=1. e_486=1. e_488=1. e_491=1. e_492=1. select=1. sk=1. store=1.
% 7.58/7.88  
% 7.58/7.88  ============================== end of process initial clauses ========
% 7.58/7.88  
% 7.58/7.88  ============================== CLAUSES FOR SEARCH ====================
% 7.58/7.88  
% 7.58/7.88  ============================== end of clauses for search =============
% 7.58/7.88  
% 7.58/7.88  ============================== SEARCH ================================
% 7.58/7.88  
% 7.58/7.88  % Starting search at 0.01 seconds.
% 7.58/7.88  
% 7.58/7.88  Low Water (keep): wt=29.000, iters=3527
% 7.58/7.88  
% 7.58/7.88  Low Water (keep): wt=26.000, iters=3471
% 7.58/7.88  
% 7.58/7.88  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 23 (0.00 of 4.51 sec).
% 7.58/7.88  
% 7.58/7.88  ============================== PROOF =================================
% 7.58/7.88  % SZS status Unsatisfiable
% 7.58/7.88  % SZS output start Refutation
% 7.58/7.88  
% 7.58/7.88  % Proof 1 at 6.82 (+ 0.05) seconds.
% 7.58/7.88  % Length of proof is 183.
% 7.58/7.88  % Level of proof is 49.
% 7.58/7.88  % Maximum clause weight is 14.000.
% 7.58/7.88  % Given clauses 653.
% 7.58/7.88  
% 7.58/7.88  3 e_468 = select(a_467,i3) # label(hyp15) # label(hypothesis).  [assumption].
% 7.58/7.88  4 select(a_467,i3) = e_468.  [copy(3),flip(a)].
% 7.58/7.88  5 e_470 = select(a_467,i0) # label(hyp16) # label(hypothesis).  [assumption].
% 7.58/7.88  6 select(a_467,i0) = e_470.  [copy(5),flip(a)].
% 7.58/7.88  7 e_472 = select(a_471,i2) # label(hyp17) # label(hypothesis).  [assumption].
% 7.58/7.88  8 select(a_471,i2) = e_472.  [copy(7),flip(a)].
% 7.58/7.88  9 e_474 = select(a_471,i3) # label(hyp18) # label(hypothesis).  [assumption].
% 7.58/7.88  10 select(a_471,i3) = e_474.  [copy(9),flip(a)].
% 7.58/7.88  11 e_476 = select(a_475,i0) # label(hyp19) # label(hypothesis).  [assumption].
% 7.58/7.88  12 select(a_475,i0) = e_476.  [copy(11),flip(a)].
% 7.58/7.88  13 e_478 = select(a_475,i2) # label(hyp20) # label(hypothesis).  [assumption].
% 7.58/7.88  14 select(a_475,i2) = e_478.  [copy(13),flip(a)].
% 7.58/7.88  15 e_482 = select(a_481,i2) # label(hyp21) # label(hypothesis).  [assumption].
% 7.58/7.88  16 select(a_481,i2) = e_482.  [copy(15),flip(a)].
% 7.58/7.88  17 e_484 = select(a_481,i3) # label(hyp22) # label(hypothesis).  [assumption].
% 7.58/7.88  18 select(a_481,i3) = e_484.  [copy(17),flip(a)].
% 7.58/7.88  19 e_486 = select(a_485,i2) # label(hyp23) # label(hypothesis).  [assumption].
% 7.58/7.88  20 select(a_485,i2) = e_486.  [copy(19),flip(a)].
% 7.58/7.88  21 e_488 = select(a_485,i0) # label(hyp24) # label(hypothesis).  [assumption].
% 7.58/7.88  22 select(a_485,i0) = e_488.  [copy(21),flip(a)].
% 7.58/7.88  23 e_491 = select(a_479,i_490) # label(hyp25) # label(hypothesis).  [assumption].
% 7.58/7.88  24 select(a_479,i_490) = e_491.  [copy(23),flip(a)].
% 7.58/7.88  25 e_492 = select(a_489,i_490) # label(hyp26) # label(hypothesis).  [assumption].
% 7.58/7.88  26 select(a_489,i_490) = e_492.  [copy(25),flip(a)].
% 7.58/7.88  33 a_469 = store(a_467,i0,e_468) # label(hyp2) # label(hypothesis).  [assumption].
% 7.58/7.88  34 store(a_467,i0,e_468) = a_469.  [copy(33),flip(a)].
% 7.58/7.88  35 a_471 = store(a_469,i3,e_470) # label(hyp3) # label(hypothesis).  [assumption].
% 7.58/7.88  36 store(a_469,i3,e_470) = a_471.  [copy(35),flip(a)].
% 7.58/7.88  37 a_473 = store(a_471,i3,e_472) # label(hyp4) # label(hypothesis).  [assumption].
% 7.58/7.88  38 store(a_471,i3,e_472) = a_473.  [copy(37),flip(a)].
% 7.58/7.88  39 a_475 = store(a_473,i2,e_474) # label(hyp5) # label(hypothesis).  [assumption].
% 7.58/7.88  40 store(a_473,i2,e_474) = a_475.  [copy(39),flip(a)].
% 7.58/7.88  41 a_477 = store(a_475,i2,e_476) # label(hyp6) # label(hypothesis).  [assumption].
% 7.58/7.88  42 store(a_475,i2,e_476) = a_477.  [copy(41),flip(a)].
% 7.58/7.88  43 a_479 = store(a_477,i0,e_478) # label(hyp7) # label(hypothesis).  [assumption].
% 7.58/7.88  44 store(a_477,i0,e_478) = a_479.  [copy(43),flip(a)].
% 7.58/7.88  45 a_480 = store(a_467,i3,e_470) # label(hyp8) # label(hypothesis).  [assumption].
% 7.58/7.88  46 store(a_467,i3,e_470) = a_480.  [copy(45),flip(a)].
% 7.58/7.88  47 a_481 = store(a_480,i0,e_468) # label(hyp9) # label(hypothesis).  [assumption].
% 7.58/7.88  48 store(a_480,i0,e_468) = a_481.  [copy(47),flip(a)].
% 7.58/7.88  49 a_483 = store(a_481,i3,e_482) # label(hyp10) # label(hypothesis).  [assumption].
% 7.58/7.88  50 store(a_481,i3,e_482) = a_483.  [copy(49),flip(a)].
% 7.58/7.88  51 a_485 = store(a_483,i2,e_484) # label(hyp11) # label(hypothesis).  [assumption].
% 7.58/7.88  52 store(a_483,i2,e_484) = a_485.  [copy(51),flip(a)].
% 7.58/7.88  53 a_487 = store(a_485,i0,e_486) # label(hyp12) # label(hypothesis).  [assumption].
% 7.58/7.88  54 store(a_485,i0,e_486) = a_487.  [copy(53),flip(a)].
% 7.58/7.88  55 a_489 = store(a_487,i2,e_488) # label(hyp13) # label(hypothesis).  [assumption].
% 7.58/7.88  56 store(a_487,i2,e_488) = a_489.  [copy(55),flip(a)].
% 7.58/7.88  57 select(store(A,B,C),B) = C # label(a1) # label(axiom).  [assumption].
% 7.58/7.88  58 A = B | select(store(C,A,D),B) = select(C,B) # label(a2) # label(axiom).  [assumption].
% 7.58/7.88  59 e_491 != e_492 # label(goal) # label(negated_conjecture).  [assumption].
% 7.58/7.88  60 e_492 != e_491.  [copy(59),flip(a)].
% 7.58/7.88  63 select(a_469,i0) = e_468.  [para(34(a,1),57(a,1,1))].
% 7.58/7.88  64 e_474 = e_470.  [para(36(a,1),57(a,1,1)),rewrite([10(3)])].
% 7.58/7.88  65 select(a_473,i3) = e_472.  [para(38(a,1),57(a,1,1))].
% 7.58/7.88  66 e_478 = e_470.  [para(40(a,1),57(a,1,1)),rewrite([14(3),64(2)])].
% 7.58/7.88  67 select(a_477,i2) = e_476.  [para(42(a,1),57(a,1,1))].
% 7.58/7.88  68 select(a_479,i0) = e_470.  [para(44(a,1),57(a,1,1)),rewrite([66(4)])].
% 7.58/7.88  69 select(a_480,i3) = e_470.  [para(46(a,1),57(a,1,1))].
% 7.58/7.88  70 select(a_481,i0) = e_468.  [para(48(a,1),57(a,1,1))].
% 7.58/7.88  71 select(a_483,i3) = e_482.  [para(50(a,1),57(a,1,1))].
% 7.58/7.88  72 e_486 = e_484.  [para(52(a,1),57(a,1,1)),rewrite([20(3)])].
% 7.58/7.88  73 select(a_487,i0) = e_484.  [para(54(a,1),57(a,1,1)),rewrite([72(4)])].
% 7.58/7.88  74 select(a_489,i2) = e_488.  [para(56(a,1),57(a,1,1))].
% 7.58/7.88  75 store(a_473,i2,e_470) = a_475.  [back_rewrite(40),rewrite([64(3)])].
% 7.58/7.88  77 store(a_477,i0,e_470) = a_479.  [back_rewrite(44),rewrite([66(3)])].
% 7.58/7.88  79 store(a_485,i0,e_484) = a_487.  [back_rewrite(54),rewrite([72(3)])].
% 7.58/7.88  80 select(a_485,i2) = e_484.  [back_rewrite(20),rewrite([72(4)])].
% 7.58/7.88  93 i0 = A | select(a_469,A) = select(a_467,A).  [para(34(a,1),58(b,1,1))].
% 7.58/7.88  94 i3 = A | select(a_469,A) = select(a_471,A).  [para(36(a,1),58(b,1,1)),flip(b)].
% 7.58/7.88  95 i3 = A | select(a_473,A) = select(a_471,A).  [para(38(a,1),58(b,1,1))].
% 7.58/7.88  96 i2 = A | select(a_477,A) = select(a_475,A).  [para(42(a,1),58(b,1,1))].
% 7.58/7.88  97 i3 = A | select(a_480,A) = select(a_467,A).  [para(46(a,1),58(b,1,1))].
% 7.58/7.88  98 i0 = A | select(a_480,A) = select(a_481,A).  [para(48(a,1),58(b,1,1)),flip(b)].
% 7.58/7.88  99 i3 = A | select(a_483,A) = select(a_481,A).  [para(50(a,1),58(b,1,1))].
% 7.58/7.88  100 i2 = A | select(a_483,A) = select(a_485,A).  [para(52(a,1),58(b,1,1)),flip(b)].
% 7.58/7.88  101 i2 = A | select(a_487,A) = select(a_489,A).  [para(56(a,1),58(b,1,1)),flip(b)].
% 7.58/7.88  112 i0 = A | select(store(a_481,A,B),i0) = e_468.  [para(70(a,1),58(b,2)),flip(a)].
% 7.58/7.88  117 i2 = A | select(a_473,A) = select(a_475,A).  [para(75(a,1),58(b,1,1)),flip(b)].
% 7.58/7.88  120 i0 = A | select(a_477,A) = select(a_479,A).  [para(77(a,1),58(b,1,1)),flip(b)].
% 7.58/7.88  121 i0 = A | select(a_487,A) = select(a_485,A).  [para(79(a,1),58(b,1,1))].
% 7.58/7.88  151 i3 = i2 | select(a_469,i2) = e_472.  [para(8(a,1),94(b,2))].
% 7.58/7.88  153 i3 = i0 | select(a_471,i0) = e_468.  [para(94(b,1),63(a,1))].
% 7.58/7.88  154 i3 = A | i0 = A | select(a_471,A) = select(a_467,A).  [para(94(b,1),93(b,1))].
% 7.58/7.88  158 i3 = i2 | i0 = i2 | select(a_467,i2) = e_472.  [para(151(b,1),93(b,1)),flip(c)].
% 7.58/7.88  165 i3 = i0 | select(a_473,i0) = e_468.  [para(153(b,1),95(b,2)),merge(b)].
% 7.58/7.88  184 i0 = i2 | select(a_480,i2) = e_482.  [para(16(a,1),98(b,2))].
% 7.58/7.88  185 i3 = i0 | e_484 = e_470.  [para(18(a,1),98(b,2)),rewrite([69(6)]),flip(a),flip(b)].
% 7.58/7.88  187 i0 = A | i3 = A | select(a_481,A) = select(a_467,A).  [para(98(b,1),97(b,1))].
% 7.58/7.88  193 i0 = i2 | i3 = i2 | select(a_467,i2) = e_482.  [para(184(b,1),97(b,1)),flip(c)].
% 7.58/7.88  199 i3 = i0 | select(a_483,i0) = e_468.  [para(70(a,1),99(b,2))].
% 7.58/7.88  206 i3 = i2 | select(a_485,i3) = e_482.  [para(100(b,1),71(a,1)),flip(a)].
% 7.58/7.88  208 i0 = i2 | i3 = i0 | e_488 = e_468.  [para(100(b,1),199(b,1)),rewrite([22(9)]),flip(a)].
% 7.58/7.88  219 i_490 = i2 | select(a_487,i_490) = e_492.  [para(26(a,1),101(b,2)),flip(a)].
% 7.58/7.88  230 i3 = i2 | select(a_475,i3) = e_472.  [para(117(b,1),65(a,1)),flip(a)].
% 7.58/7.88  232 i0 = i2 | i3 = i0 | e_476 = e_468.  [para(117(b,1),165(b,1)),rewrite([12(9)]),flip(a)].
% 7.58/7.88  252 i_490 = i0 | select(a_477,i_490) = e_491.  [para(24(a,1),120(b,2)),flip(a)].
% 7.58/7.88  254 i0 = i2 | select(a_479,i2) = e_476.  [para(120(b,1),67(a,1))].
% 7.58/7.88  259 i_490 = i0 | i_490 = i2 | select(a_475,i_490) = e_491.  [para(252(b,1),96(b,1)),flip(b),flip(c)].
% 7.58/7.88  262 i0 = i2 | i3 = i0 | select(a_479,i2) = e_468.  [para(232(c,1),254(b,2)),merge(c)].
% 7.58/7.88  267 i_490 = i0 | i_490 = i2 | select(a_485,i_490) = e_492.  [para(121(b,1),219(b,1)),flip(a)].
% 7.58/7.88  701 i0 = i2 | i3 = i2 | e_482 = e_472.  [para(193(c,1),158(c,1)),merge(c),merge(d)].
% 7.58/7.88  705 i0 = i2 | i3 = i2 | select(a_485,i3) = e_472.  [para(701(c,1),206(b,2)),merge(c)].
% 7.58/7.88  819 i_490 = i0 | i_490 = i2 | select(a_473,i_490) = e_491.  [para(259(c,1),117(b,2)),flip(c),merge(c)].
% 7.58/7.88  858 i_490 = i0 | i_490 = i2 | select(a_483,i_490) = e_492.  [para(267(c,1),100(b,2)),flip(c),merge(c)].
% 7.58/7.88  1003 i3 = A | i0 = A | select(a_473,A) = select(a_467,A).  [para(154(c,1),95(b,2)),merge(c)].
% 7.58/7.88  1077 i0 = A | i3 = A | select(a_483,A) = select(a_467,A).  [para(187(c,1),99(b,2)),merge(c)].
% 7.58/7.88  1415 i_490 = i3 | i_490 = i0 | i_490 = i2 | select(a_467,i_490) = e_491.  [para(1003(c,1),819(c,1)),flip(a),flip(b),merge(c)].
% 7.58/7.88  1435 i_490 = i0 | i_490 = i3 | i_490 = i2 | select(a_467,i_490) = e_492.  [para(1077(c,1),858(c,1)),flip(a),flip(b),merge(c)].
% 7.58/7.88  8455 i_490 = i0 | i_490 = i3 | i_490 = i2.  [para(1435(d,1),1415(d,1)),merge(d),merge(e),merge(f),unit_del(d,60)].
% 7.58/7.88  8466 i_490 = i0 | i_490 = i2 | e_491 = e_472.  [para(8455(b,1),819(c,1,2)),rewrite([65(15)]),flip(e),merge(c),merge(d)].
% 7.58/7.88  8467 i_490 = i0 | i_490 = i2 | e_492 = e_482.  [para(8455(b,1),858(c,1,2)),rewrite([71(15)]),flip(e),merge(c),merge(d)].
% 7.58/7.88  8506 i_490 = i0 | i_490 = i2 | e_492 != e_472.  [para(8466(c,1),60(a,2))].
% 7.58/7.88  8557 i_490 = i0 | i_490 = i2 | e_482 != e_472.  [para(8467(c,1),8506(c,1)),merge(c),merge(d)].
% 7.58/7.88  8559 i_490 = i0 | i_490 = i2 | i0 = i2 | i3 = i2.  [resolve(8557,c,701,c)].
% 7.58/7.88  8672 i_490 = i2 | i0 = i2 | i3 = i2 | e_491 = e_470.  [para(8559(a,1),24(a,1,2)),rewrite([68(12)]),flip(d)].
% 7.58/7.88  8675 i_490 = i2 | i0 = i2 | i3 = i2 | e_492 = e_484.  [para(8559(a,1),219(b,1,2)),rewrite([73(15)]),flip(e),merge(d)].
% 7.58/7.88  8686 i_490 = i2 | i0 = i2 | i3 = i2 | e_492 != e_470.  [para(8672(d,1),60(a,2))].
% 7.58/7.88  8701 i_490 = i2 | i0 = i2 | i3 = i2 | e_484 != e_470.  [para(8675(d,1),8686(d,1)),merge(d),merge(e),merge(f)].
% 7.58/7.88  8703 i_490 = i2 | i0 = i2 | i3 = i2 | i3 = i0.  [resolve(8701,d,185,b)].
% 7.58/7.88  8704 i0 = i2 | i3 = i2 | i3 = i0 | select(a_479,i2) = e_491.  [para(8703(a,1),24(a,1,2))].
% 7.58/7.88  8705 i0 = i2 | i3 = i2 | i3 = i0 | e_492 = e_488.  [para(8703(a,1),26(a,1,2)),rewrite([74(12)]),flip(d)].
% 7.58/7.88  8714 i0 = i2 | i3 = i2 | i3 = i0 | e_491 != e_488.  [para(8705(d,1),60(a,1)),flip(d)].
% 7.58/7.88  8718 i0 = i2 | i3 = i0 | i3 = i2 | e_491 != e_468.  [para(208(c,1),8714(d,2)),merge(c),merge(e)].
% 7.58/7.88  8872 i0 = i2 | i3 = i2 | i3 = i0 | e_491 = e_468.  [para(8704(d,1),262(c,1)),merge(d),merge(e)].
% 7.58/7.88  8884 i0 = i2 | i3 = i2 | i3 = i0.  [resolve(8872,d,8718,d),merge(d),merge(e),merge(f)].
% 7.58/7.88  8885 i0 = i2 | i3 = i2 | e_470 = e_468.  [para(8884(c,1),4(a,1,2)),rewrite([6(9)])].
% 7.58/7.88  8886 i0 = i2 | i3 = i2 | e_484 = e_468.  [para(8884(c,1),18(a,1,2)),rewrite([70(9)]),flip(c)].
% 7.58/7.88  8900 i0 = i2 | i3 = i2 | e_476 = e_472.  [para(8884(c,1),230(b,1,2)),rewrite([12(12)]),merge(c)].
% 7.58/7.88  8911 i0 = i2 | i3 = i2 | e_488 = e_472.  [para(8884(c,1),705(c,1,2)),rewrite([22(15)]),merge(c),merge(d)].
% 7.58/7.88  9003 i0 = i2 | i3 = i2 | i_490 = i2 | e_484 != e_468.  [para(8885(c,1),8701(d,2)),merge(d),merge(e)].
% 7.58/7.88  9064 i0 = i2 | i3 = i2 | select(a_479,i2) = e_472.  [para(8900(c,1),254(b,2)),merge(c)].
% 7.58/7.88  9215 i0 = i2 | i3 = i2 | i_490 = i2.  [resolve(9003,d,8886,c),merge(d),merge(e)].
% 7.58/7.88  9216 i0 = i2 | i3 = i2 | select(a_479,i2) = e_491.  [para(9215(c,1),24(a,1,2))].
% 7.58/7.88  9217 i0 = i2 | i3 = i2 | e_492 = e_488.  [para(9215(c,1),26(a,1,2)),rewrite([74(9)]),flip(c)].
% 7.58/7.88  9228 i0 = i2 | i3 = i2 | e_491 != e_488.  [para(9217(c,1),60(a,1)),flip(c)].
% 7.58/7.88  9235 i0 = i2 | i3 = i2 | e_491 != e_472.  [para(8911(c,1),9228(c,2)),merge(c),merge(d)].
% 7.58/7.88  9248 i0 = i2 | i3 = i2 | e_491 = e_472.  [para(9216(c,1),9064(c,1)),merge(c),merge(d)].
% 7.58/7.88  9260 i0 = i2 | i3 = i2.  [resolve(9248,c,9235,c),merge(c),merge(d)].
% 7.58/7.88  9262 i0 = i2 | e_484 = e_482.  [para(9260(b,1),18(a,1,2)),rewrite([16(6)]),flip(b)].
% 7.58/7.88  9266 i0 = i2 | store(a_481,i2,e_482) = a_483.  [para(9260(b,1),50(a,1,2))].
% 7.58/7.88  9268 i0 = i2 | select(a_480,i2) = e_470.  [para(9260(b,1),69(a,1,2))].
% 7.58/7.88  9315 i0 = i2 | i_490 = i0 | i_490 = i2.  [para(9260(b,1),8455(b,2)),merge(d)].
% 7.58/7.88  9381 i0 = i2 | e_482 = e_470.  [para(9268(b,1),98(b,1)),rewrite([16(10)]),flip(c),merge(b)].
% 7.58/7.88  9393 i0 = i2 | e_484 = e_470.  [para(9381(b,1),9262(b,2)),merge(b)].
% 7.58/7.88  9494 i0 = i2 | select(a_483,i0) = e_468.  [para(9266(b,1),112(b,1,1)),merge(b)].
% 7.58/7.88  9504 i0 = i2 | e_488 = e_468.  [para(9494(b,1),100(b,1)),rewrite([22(10)]),flip(b),flip(c),merge(b)].
% 7.58/7.88  9521 i0 = i2 | i_490 = i2 | e_491 = e_470.  [para(9315(b,1),24(a,1,2)),rewrite([68(9)]),flip(c)].
% 7.58/7.88  9524 i0 = i2 | i_490 = i2 | e_492 = e_484.  [para(9315(b,1),219(b,1,2)),rewrite([73(12)]),flip(d),merge(c)].
% 7.58/7.88  9541 i0 = i2 | i_490 = i2 | e_492 != e_470.  [para(9521(c,1),60(a,2))].
% 7.58/7.88  9559 i0 = i2 | i_490 = i2 | e_492 = e_470.  [para(9393(b,1),9524(c,2)),merge(b)].
% 7.58/7.88  9580 i0 = i2 | i_490 = i2.  [resolve(9559,c,9541,c),merge(c),merge(d)].
% 7.58/7.88  9581 i0 = i2 | select(a_479,i2) = e_491.  [para(9580(b,1),24(a,1,2))].
% 7.58/7.88  9582 i0 = i2 | e_492 = e_488.  [para(9580(b,1),26(a,1,2)),rewrite([74(6)]),flip(b)].
% 7.58/7.88  9593 i0 = i2 | e_491 != e_488.  [para(9582(b,1),60(a,1)),flip(b)].
% 7.58/7.88  9600 i0 = i2 | e_491 != e_468.  [para(9504(b,1),9593(b,2)),merge(b)].
% 7.58/7.88  9605 i0 = i2 | e_491 = e_476.  [para(9581(b,1),120(b,2)),rewrite([67(9)]),flip(c),merge(b)].
% 7.58/7.88  9620 i0 = i2 | e_476 != e_468.  [para(9605(b,1),9600(b,1)),merge(b)].
% 7.58/7.88  9623 i0 = i2 | i3 = i0.  [resolve(9620,b,232,c),merge(b)].
% 7.58/7.88  9669 i0 = i2.  [para(9623(b,1),9260(b,1)),merge(b),merge(c)].
% 7.58/7.88  9825 i_490 = i2 | e_482 != e_472.  [back_rewrite(8557),rewrite([9669(2)]),merge(b)].
% 7.58/7.88  9888 i_490 = i2 | i_490 = i3.  [back_rewrite(8455),rewrite([9669(2)]),merge(c)].
% 7.58/7.88  12651 i3 = i2 | e_484 = e_470.  [back_rewrite(185),rewrite([9669(2)])].
% 7.58/7.88  12659 i3 = i2 | e_472 = e_468.  [back_rewrite(153),rewrite([9669(2),9669(5),8(6)])].
% 7.58/7.88  12690 e_482 = e_468.  [back_rewrite(70),rewrite([9669(2),16(3)])].
% 7.58/7.88  12691 select(a_479,i2) = e_470.  [back_rewrite(68),rewrite([9669(2)])].
% 7.58/7.88  12695 e_488 = e_484.  [back_rewrite(22),rewrite([9669(2),80(3)]),flip(a)].
% 7.58/7.88  12697 select(a_467,i2) = e_470.  [back_rewrite(6),rewrite([9669(2)])].
% 7.58/7.88  12863 i_490 = i2 | e_472 != e_468.  [back_rewrite(9825),rewrite([12690(4)]),flip(b)].
% 7.58/7.88  12998 select(a_481,i2) = e_468.  [back_rewrite(16),rewrite([12690(4)])].
% 7.58/7.88  13044 select(a_489,i2) = e_484.  [back_rewrite(74),rewrite([12695(4)])].
% 7.58/7.88  13171 i_490 = i2 | i3 = i2.  [resolve(12863,b,12659,b)].
% 7.58/7.88  13177 i3 = i2 | e_491 = e_470.  [para(13171(a,1),24(a,1,2)),rewrite([12691(6)]),flip(b)].
% 7.58/7.88  13178 i3 = i2 | e_492 = e_484.  [para(13171(a,1),26(a,1,2)),rewrite([13044(6)]),flip(b)].
% 7.58/7.88  13199 i3 = i2 | e_492 != e_470.  [para(13177(b,1),60(a,2))].
% 7.58/7.88  13212 i3 = i2 | e_492 = e_470.  [para(12651(b,1),13178(b,2)),merge(b)].
% 7.58/7.88  13220 i3 = i2.  [resolve(13212,b,13199,b),merge(b)].
% 7.58/7.88  13658 i_490 = i2.  [back_rewrite(9888),rewrite([13220(5)]),merge(b)].
% 7.58/7.88  14743 e_484 = e_468.  [back_rewrite(18),rewrite([13220(2),12998(3)]),flip(a)].
% 7.58/7.88  14744 e_470 = e_468.  [back_rewrite(4),rewrite([13220(2),12697(3)])].
% 7.58/7.88  14896 e_492 = e_468.  [back_rewrite(26),rewrite([13658(2),13044(3),14743(1)]),flip(a)].
% 7.58/7.88  14897 e_491 = e_468.  [back_rewrite(24),rewrite([13658(2),12691(3),14744(1)]),flip(a)].
% 7.58/7.88  15469 $F.  [back_rewrite(60),rewrite([14896(1),14897(2)]),xx(a)].
% 7.58/7.88  
% 7.58/7.88  % SZS output end Refutation
% 7.58/7.88  ============================== end of proof ==========================
% 7.58/7.88  
% 7.58/7.88  ============================== STATISTICS ============================
% 7.58/7.88  
% 7.58/7.88  Given=653. Generated=50626. Kept=15439. proofs=1.
% 7.58/7.88  Usable=67. Sos=3294. Demods=45. Limbo=573, Disabled=11536. Hints=0.
% 7.58/7.88  Megabytes=16.39.
% 7.58/7.88  User_CPU=6.82, System_CPU=0.05, Wall_clock=7.
% 7.58/7.88  
% 7.58/7.88  ============================== end of statistics =====================
% 7.58/7.88  
% 7.58/7.88  ============================== end of search =========================
% 7.58/7.88  
% 7.58/7.88  THEOREM PROVED
% 7.58/7.88  % SZS status Unsatisfiable
% 7.58/7.88  
% 7.58/7.88  Exiting with 1 proof.
% 7.58/7.88  
% 7.58/7.88  Process 13841 exit (max_proofs) Tue Jun 14 18:03:56 2022
% 7.58/7.88  Prover9 interrupted
%------------------------------------------------------------------------------