TSTP Solution File: KRS102+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n032.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 03:24:58 EDT 2022

% Result   : Unsatisfiable 15.61s 15.90s
% Output   : Refutation 15.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem  : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% 0.02/0.09  % Command  : tptp2X_and_run_prover9 %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Tue Jun  7 18:38:36 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.52/0.83  ============================== Prover9 ===============================
% 0.52/0.83  Prover9 (32) version 2009-11A, November 2009.
% 0.52/0.83  Process 8883 was started by sandbox on n032.cluster.edu,
% 0.52/0.83  Tue Jun  7 18:38:36 2022
% 0.52/0.83  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8553_n032.cluster.edu".
% 0.52/0.83  ============================== end of head ===========================
% 0.52/0.83  
% 0.52/0.83  ============================== INPUT =================================
% 0.52/0.83  
% 0.52/0.83  % Reading from file /tmp/Prover9_8553_n032.cluster.edu
% 0.52/0.83  
% 0.52/0.83  set(prolog_style_variables).
% 0.52/0.83  set(auto2).
% 0.52/0.83      % set(auto2) -> set(auto).
% 0.52/0.83      % set(auto) -> set(auto_inference).
% 0.52/0.83      % set(auto) -> set(auto_setup).
% 0.52/0.83      % set(auto_setup) -> set(predicate_elim).
% 0.52/0.83      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.52/0.83      % set(auto) -> set(auto_limits).
% 0.52/0.83      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.52/0.83      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.52/0.83      % set(auto) -> set(auto_denials).
% 0.52/0.83      % set(auto) -> set(auto_process).
% 0.52/0.83      % set(auto2) -> assign(new_constants, 1).
% 0.52/0.83      % set(auto2) -> assign(fold_denial_max, 3).
% 0.52/0.83      % set(auto2) -> assign(max_weight, "200.000").
% 0.52/0.83      % set(auto2) -> assign(max_hours, 1).
% 0.52/0.83      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.52/0.83      % set(auto2) -> assign(max_seconds, 0).
% 0.52/0.83      % set(auto2) -> assign(max_minutes, 5).
% 0.52/0.83      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.52/0.83      % set(auto2) -> set(sort_initial_sos).
% 0.52/0.83      % set(auto2) -> assign(sos_limit, -1).
% 0.52/0.83      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.52/0.83      % set(auto2) -> assign(max_megs, 400).
% 0.52/0.83      % set(auto2) -> assign(stats, some).
% 0.52/0.83      % set(auto2) -> clear(echo_input).
% 0.52/0.83      % set(auto2) -> set(quiet).
% 0.52/0.83      % set(auto2) -> clear(print_initial_clauses).
% 0.52/0.83      % set(auto2) -> clear(print_given).
% 0.52/0.83  assign(lrs_ticks,-1).
% 0.52/0.83  assign(sos_limit,10000).
% 0.52/0.83  assign(order,kbo).
% 0.52/0.83  set(lex_order_vars).
% 0.52/0.83  clear(print_given).
% 0.52/0.83  
% 0.52/0.83  % formulas(sos).  % not echoed (83 formulas)
% 0.52/0.83  
% 0.52/0.83  ============================== end of input ==========================
% 0.52/0.83  
% 0.52/0.83  % From the command line: assign(max_seconds, 300).
% 0.52/0.83  
% 0.52/0.83  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.52/0.83  
% 0.52/0.83  % Formulas that are not ordinary clauses:
% 0.52/0.83  1 (all A all B (A = B & cTorF(A) -> cTorF(B))) # label(cTorF_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  2 (all A all B (A = B & cowlNothing(A) -> cowlNothing(B))) # label(cowlNothing_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  3 (all A all B (A = B & cowlThing(A) -> cowlThing(B))) # label(cowlThing_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  4 (all A all B (A = B & xsd_integer(A) -> xsd_integer(B))) # label(xsd_integer_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  5 (all A all B (A = B & xsd_string(A) -> xsd_string(B))) # label(xsd_string_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  6 (all X (cowlThing(X) & -cowlNothing(X))) # label(axiom_0) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  7 (all X (xsd_string(X) <-> -xsd_integer(X))) # label(axiom_1) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  8 (all X (cTorF(X) <-> X = iplus1 | X = iminus1)) # label(axiom_2) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  9 (all X (cTorF(X) <-> X = iminus4 | X = iplus4)) # label(axiom_3) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  10 (all X (cTorF(X) <-> X = iplus2 | X = iminus2)) # label(axiom_4) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  11 (all X (cTorF(X) <-> X = iplus7 | X = iminus7)) # label(axiom_5) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  12 (all X (cTorF(X) <-> X = iplus5 | X = iminus5)) # label(axiom_6) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  13 (all X (cTorF(X) <-> X = iplus3 | X = iminus3)) # label(axiom_7) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  14 (all X (cTorF(X) <-> X = iT | X = iF)) # label(axiom_8) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  15 (all X (cTorF(X) <-> X = iplus8 | X = iminus8)) # label(axiom_9) # label(axiom) # label(non_clause).  [assumption].
% 0.52/0.83  16 (all X (cTorF(X) <-> X = iminus6 | X = iplus6)) # label(axiom_10) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  17 (all X (cTorF(X) <-> X = iminus9 | X = iplus9)) # label(axiom_11) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  
% 15.61/15.90  ============================== end of process non-clausal formulas ===
% 15.61/15.90  
% 15.61/15.90  ============================== PROCESS INITIAL CLAUSES ===============
% 15.61/15.90  
% 15.61/15.90  ============================== PREDICATE ELIMINATION =================
% 15.61/15.90  
% 15.61/15.90  ============================== end predicate elimination =============
% 15.61/15.90  
% 15.61/15.90  Auto_denials:  (non-Horn, no changes).
% 15.61/15.90  
% 15.61/15.90  Term ordering decisions:
% 15.61/15.90  Function symbol KB weights:  iT=1. iminus4=1. iplus9=1. iplus3=1. iplus6=1. iplus1=1. iplus4=1. iminus2=1. iminus8=1. iminus3=1. iminus7=1. iminus9=1. iplus2=1. iminus5=1. iminus6=1. iplus8=1. iplus7=1. iplus5=1. iminus1=1. iF=1.
% 15.61/15.90  
% 15.61/15.90  ============================== end of process initial clauses ========
% 15.61/15.90  
% 15.61/15.90  ============================== CLAUSES FOR SEARCH ====================
% 15.61/15.90  
% 15.61/15.90  ============================== end of clauses for search =============
% 15.61/15.90  
% 15.61/15.90  ============================== SEARCH ================================
% 15.61/15.90  
% 15.61/15.90  % Starting search at 0.02 seconds.
% 15.61/15.90  
% 15.61/15.90  Low Water (keep): wt=13.000, iters=3336
% 15.61/15.90  
% 15.61/15.90  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 143 (0.00 of 0.44 sec).
% 15.61/15.90  
% 15.61/15.90  Low Water (keep): wt=12.000, iters=3543
% 15.61/15.90  
% 15.61/15.90  Low Water (keep): wt=10.000, iters=3343
% 15.61/15.90  
% 15.61/15.90  ============================== PROOF =================================
% 15.61/15.90  % SZS status Unsatisfiable
% 15.61/15.90  % SZS output start Refutation
% 15.61/15.90  
% 15.61/15.90  % Proof 1 at 14.48 (+ 0.60) seconds.
% 15.61/15.90  % Length of proof is 173.
% 15.61/15.90  % Level of proof is 22.
% 15.61/15.90  % Maximum clause weight is 12.000.
% 15.61/15.90  % Given clauses 5372.
% 15.61/15.90  
% 15.61/15.90  8 (all X (cTorF(X) <-> X = iplus1 | X = iminus1)) # label(axiom_2) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  9 (all X (cTorF(X) <-> X = iminus4 | X = iplus4)) # label(axiom_3) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  10 (all X (cTorF(X) <-> X = iplus2 | X = iminus2)) # label(axiom_4) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  11 (all X (cTorF(X) <-> X = iplus7 | X = iminus7)) # label(axiom_5) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  12 (all X (cTorF(X) <-> X = iplus5 | X = iminus5)) # label(axiom_6) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  13 (all X (cTorF(X) <-> X = iplus3 | X = iminus3)) # label(axiom_7) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  14 (all X (cTorF(X) <-> X = iT | X = iF)) # label(axiom_8) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  15 (all X (cTorF(X) <-> X = iplus8 | X = iminus8)) # label(axiom_9) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  16 (all X (cTorF(X) <-> X = iminus6 | X = iplus6)) # label(axiom_10) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  17 (all X (cTorF(X) <-> X = iminus9 | X = iplus9)) # label(axiom_11) # label(axiom) # label(non_clause).  [assumption].
% 15.61/15.90  27 -cTorF(A) | iplus1 = A | iminus1 = A # label(axiom_2) # label(axiom).  [clausify(8)].
% 15.61/15.90  30 -cTorF(A) | iminus4 = A | iplus4 = A # label(axiom_3) # label(axiom).  [clausify(9)].
% 15.61/15.90  31 cTorF(A) | iminus4 != A # label(axiom_3) # label(axiom).  [clausify(9)].
% 15.61/15.90  32 cTorF(A) | iplus4 != A # label(axiom_3) # label(axiom).  [clausify(9)].
% 15.61/15.90  33 -cTorF(A) | iplus2 = A | iminus2 = A # label(axiom_4) # label(axiom).  [clausify(10)].
% 15.61/15.90  34 cTorF(A) | iplus2 != A # label(axiom_4) # label(axiom).  [clausify(10)].
% 15.61/15.90  35 cTorF(A) | iminus2 != A # label(axiom_4) # label(axiom).  [clausify(10)].
% 15.61/15.90  36 -cTorF(A) | iplus7 = A | iminus7 = A # label(axiom_5) # label(axiom).  [clausify(11)].
% 15.61/15.90  38 cTorF(A) | iminus7 != A # label(axiom_5) # label(axiom).  [clausify(11)].
% 15.61/15.90  39 -cTorF(A) | iplus5 = A | iminus5 = A # label(axiom_6) # label(axiom).  [clausify(12)].
% 15.61/15.90  42 -cTorF(A) | iplus3 = A | iminus3 = A # label(axiom_7) # label(axiom).  [clausify(13)].
% 15.61/15.90  43 cTorF(A) | iplus3 != A # label(axiom_7) # label(axiom).  [clausify(13)].
% 15.61/15.90  44 cTorF(A) | iminus3 != A # label(axiom_7) # label(axiom).  [clausify(13)].
% 15.61/15.90  45 -cTorF(A) | iT = A | iF = A # label(axiom_8) # label(axiom).  [clausify(14)].
% 15.61/15.90  47 cTorF(A) | iF != A # label(axiom_8) # label(axiom).  [clausify(14)].
% 15.61/15.90  48 -cTorF(A) | iplus8 = A | iminus8 = A # label(axiom_9) # label(axiom).  [clausify(15)].
% 15.61/15.90  49 cTorF(A) | iplus8 != A # label(axiom_9) # label(axiom).  [clausify(15)].
% 15.61/15.90  51 -cTorF(A) | iminus6 = A | iplus6 = A # label(axiom_10) # label(axiom).  [clausify(16)].
% 15.61/15.90  54 -cTorF(A) | iminus9 = A | iplus9 = A # label(axiom_11) # label(axiom).  [clausify(17)].
% 15.61/15.90  59 iT = iminus6 | iT = iplus9 | iT = iminus7 # label(axiom_14) # label(axiom).  [assumption].
% 15.61/15.90  60 iminus6 = iT | iplus9 = iT | iminus7 = iT.  [copy(59),flip(a),flip(b),flip(c)].
% 15.61/15.90  61 iT = iplus8 | iT = iminus3 | iT = iplus7 # label(axiom_15) # label(axiom).  [assumption].
% 15.61/15.90  62 iplus8 = iT | iminus3 = iT | iplus7 = iT.  [copy(61),flip(a),flip(b),flip(c)].
% 15.61/15.90  71 iT = iminus8 | iT = iminus4 | iT = iplus9 # label(axiom_21) # label(axiom).  [assumption].
% 15.61/15.90  72 iminus8 = iT | iminus4 = iT | iplus9 = iT.  [copy(71),flip(a),flip(b),flip(c)].
% 15.61/15.90  73 iT = iplus3 | iT = iplus6 | iT = iplus4 # label(axiom_22) # label(axiom).  [assumption].
% 15.61/15.90  74 iplus3 = iT | iplus6 = iT | iplus4 = iT.  [copy(73),flip(a),flip(b),flip(c)].
% 15.61/15.90  81 iT = iplus3 | iT = iminus9 | iT = iminus2 # label(axiom_26) # label(axiom).  [assumption].
% 15.61/15.90  82 iplus3 = iT | iminus9 = iT | iminus2 = iT.  [copy(81),flip(a),flip(b),flip(c)].
% 15.61/15.90  83 iT = iplus6 | iT = iminus2 | iT = iminus7 # label(axiom_27) # label(axiom).  [assumption].
% 15.61/15.90  84 iplus6 = iT | iminus2 = iT | iminus7 = iT.  [copy(83),flip(a),flip(b),flip(c)].
% 15.61/15.90  91 iT = iplus8 | iT = iplus2 | iT = iminus4 # label(axiom_31) # label(axiom).  [assumption].
% 15.61/15.90  92 iplus8 = iT | iplus2 = iT | iminus4 = iT.  [copy(91),flip(a),flip(b),flip(c)].
% 15.61/15.90  101 iT = iminus4 | iT = iminus3 | iT = iminus7 # label(axiom_36) # label(axiom).  [assumption].
% 15.61/15.90  102 iminus4 = iT | iminus3 = iT | iminus7 = iT.  [copy(101),flip(a),flip(b),flip(c)].
% 15.61/15.90  103 iT = iplus2 | iT = iplus4 | iT = iminus1 # label(axiom_37) # label(axiom).  [assumption].
% 15.61/15.90  104 iplus2 = iT | iplus4 = iT | iminus1 = iT.  [copy(103),flip(a),flip(b),flip(c)].
% 15.61/15.90  109 iT = iminus8 | iT = iminus9 | iT = iminus4 # label(axiom_40) # label(axiom).  [assumption].
% 15.61/15.90  110 iminus8 = iT | iminus9 = iT | iminus4 = iT.  [copy(109),flip(a),flip(b),flip(c)].
% 15.61/15.90  111 iT = iplus3 | iT = iplus1 | iT = iplus4 # label(axiom_41) # label(axiom).  [assumption].
% 15.61/15.90  112 iplus3 = iT | iplus1 = iT | iplus4 = iT.  [copy(111),flip(a),flip(b),flip(c)].
% 15.61/15.90  113 iT = iplus8 | iT = iplus2 | iT = iminus3 # label(axiom_42) # label(axiom).  [assumption].
% 15.61/15.90  114 iplus8 = iT | iplus2 = iT | iminus3 = iT.  [copy(113),flip(a),flip(b),flip(c)].
% 15.61/15.90  119 iT = iminus5 | iT = iminus8 | iT = iminus3 # label(axiom_45) # label(axiom).  [assumption].
% 15.61/15.90  120 iminus5 = iT | iminus8 = iT | iminus3 = iT.  [copy(119),flip(a),flip(b),flip(c)].
% 15.61/15.90  127 iT = iplus5 | iT = iminus8 | iT = iminus3 # label(axiom_49) # label(axiom).  [assumption].
% 15.61/15.90  128 iplus5 = iT | iminus8 = iT | iminus3 = iT.  [copy(127),flip(a),flip(b),flip(c)].
% 15.61/15.90  141 iT = iminus6 | iT = iminus2 | iT = iplus4 # label(axiom_56) # label(axiom).  [assumption].
% 15.61/15.90  142 iminus6 = iT | iminus2 = iT | iplus4 = iT.  [copy(141),flip(a),flip(b),flip(c)].
% 15.61/15.90  143 iT = iplus8 | iT = iplus6 | iT = iminus4 # label(axiom_57) # label(axiom).  [assumption].
% 15.61/15.90  144 iplus8 = iT | iplus6 = iT | iminus4 = iT.  [copy(143),flip(a),flip(b),flip(c)].
% 15.61/15.90  145 iT = iminus4 | iT = iplus7 | iT = iplus9 # label(axiom_58) # label(axiom).  [assumption].
% 15.61/15.90  146 iminus4 = iT | iplus7 = iT | iplus9 = iT.  [copy(145),flip(a),flip(b),flip(c)].
% 15.61/15.90  147 iT != iF # label(axiom_77) # label(axiom).  [assumption].
% 15.61/15.90  148 iF != iT.  [copy(147),flip(a)].
% 15.61/15.90  152 cTorF(iminus4).  [xx_res(31,b)].
% 15.61/15.90  153 cTorF(iplus4).  [xx_res(32,b)].
% 15.61/15.90  154 cTorF(iplus2).  [xx_res(34,b)].
% 15.61/15.90  155 cTorF(iminus2).  [xx_res(35,b)].
% 15.61/15.90  157 cTorF(iminus7).  [xx_res(38,b)].
% 15.61/15.90  160 cTorF(iplus3).  [xx_res(43,b)].
% 15.61/15.90  161 cTorF(iminus3).  [xx_res(44,b)].
% 15.61/15.90  163 cTorF(iF).  [xx_res(47,b)].
% 15.61/15.90  164 cTorF(iplus8).  [xx_res(49,b)].
% 15.61/15.90  279 iminus6 = iminus4 | iplus6 = iminus4.  [resolve(152,a,51,a)].
% 15.61/15.90  280 iplus8 = iminus4 | iminus8 = iminus4.  [resolve(152,a,48,a)].
% 15.61/15.90  281 iminus4 = iT | iF = iminus4.  [resolve(152,a,45,a),flip(a)].
% 15.61/15.90  284 iplus7 = iminus4 | iminus7 = iminus4.  [resolve(152,a,36,a)].
% 15.61/15.90  288 iminus6 = iplus4 | iplus4 = iplus6.  [resolve(153,a,51,a),flip(b)].
% 15.61/15.90  289 iplus8 = iplus4 | iminus8 = iplus4.  [resolve(153,a,48,a)].
% 15.61/15.90  290 iplus4 = iT | iF = iplus4.  [resolve(153,a,45,a),flip(a)].
% 15.61/15.90  291 iplus4 = iplus3 | iminus3 = iplus4.  [resolve(153,a,42,a),flip(a)].
% 15.61/15.90  295 iplus4 = iplus1 | iminus1 = iplus4.  [resolve(153,a,27,a),flip(a)].
% 15.61/15.90  298 iplus8 = iplus2 | iplus2 = iminus8.  [resolve(154,a,48,a),flip(b)].
% 15.61/15.90  300 iplus2 = iplus3 | iplus2 = iminus3.  [resolve(154,a,42,a),flip(a),flip(b)].
% 15.61/15.90  305 iminus9 = iminus2 | iminus2 = iplus9.  [resolve(155,a,54,a),flip(b)].
% 15.61/15.90  327 iminus7 = iplus3 | iminus7 = iminus3.  [resolve(157,a,42,a),flip(a),flip(b)].
% 15.61/15.90  352 iplus8 = iplus3 | iminus8 = iplus3.  [resolve(160,a,48,a)].
% 15.61/15.90  361 iplus8 = iminus3 | iminus3 = iminus8.  [resolve(161,a,48,a),flip(b)].
% 15.61/15.90  362 iminus3 = iT | iF = iminus3.  [resolve(161,a,45,a),flip(a)].
% 15.61/15.90  363 iplus5 = iminus3 | iminus5 = iminus3.  [resolve(161,a,39,a)].
% 15.61/15.90  364 iplus7 = iminus3 | iminus7 = iminus3.  [resolve(161,a,36,a)].
% 15.61/15.90  377 iF = iminus9 | iF = iplus9.  [resolve(163,a,54,a),flip(a),flip(b)].
% 15.61/15.90  378 iF = iminus6 | iF = iplus6.  [resolve(163,a,51,a),flip(a),flip(b)].
% 15.61/15.90  379 iF = iplus8 | iF = iminus8.  [resolve(163,a,48,a),flip(a),flip(b)].
% 15.61/15.90  380 iF = iplus3 | iF = iminus3.  [resolve(163,a,42,a),flip(a),flip(b)].
% 15.61/15.90  382 iF = iplus7 | iF = iminus7.  [resolve(163,a,36,a),flip(a),flip(b)].
% 15.61/15.90  383 iF = iplus2 | iF = iminus2.  [resolve(163,a,33,a),flip(a),flip(b)].
% 15.61/15.90  384 iF = iminus4 | iF = iplus4.  [resolve(163,a,30,a),flip(a),flip(b)].
% 15.61/15.90  389 iplus8 = iplus3 | iplus8 = iminus3.  [resolve(164,a,42,a),flip(a),flip(b)].
% 15.61/15.90  392 iplus8 = iplus2 | iplus8 = iminus2.  [resolve(164,a,33,a),flip(a),flip(b)].
% 15.61/15.90  393 iplus8 = iminus4 | iplus8 = iplus4.  [resolve(164,a,30,a),flip(a),flip(b)].
% 15.61/15.90  588 iplus6 = iminus4 | iminus4 = iT | iplus9 = iT | iminus7 = iT.  [para(279(a,1),60(a,1))].
% 15.61/15.90  600 iminus8 = iminus4 | iminus4 = iT | iplus6 = iT.  [para(280(a,1),144(a,1)),merge(d)].
% 15.61/15.90  634 iminus7 = iminus4 | iminus4 = iT | iplus9 = iT.  [para(284(a,1),146(b,1)),merge(c)].
% 15.61/15.90  671 iplus4 = iplus6 | iplus4 = iT | iminus2 = iT.  [para(288(a,1),142(a,1)),merge(d)].
% 15.61/15.90  736 iplus4 = iplus1 | iplus2 = iT | iplus4 = iT.  [para(295(b,1),104(c,1)),merge(d)].
% 15.61/15.90  777 iplus2 = iminus8 | iplus2 = iT | iminus4 = iT.  [para(298(a,1),92(a,1)),merge(c)].
% 15.61/15.90  898 iminus2 = iplus9 | iplus3 = iT | iminus2 = iT.  [para(305(a,1),82(b,1)),merge(d)].
% 15.61/15.90  1274 iminus7 = iplus3 | iplus6 = iT | iminus2 = iT | iminus3 = iT.  [para(327(b,1),84(c,1))].
% 15.61/15.90  1835 iminus8 = iplus3 | iplus4 = iplus3 | iminus8 = iplus4.  [para(352(a,1),289(a,1)),flip(b)].
% 15.61/15.90  1994 iminus3 = iminus8 | iminus3 = iT | iplus2 = iT.  [para(361(a,1),114(a,1)),merge(d)].
% 15.61/15.90  2032 iminus5 = iminus3 | iminus3 = iT | iminus8 = iT.  [para(363(a,1),128(a,1)),merge(d)].
% 15.61/15.90  2062 iminus7 = iminus3 | iplus8 = iT | iminus3 = iT.  [para(364(a,1),62(c,1)),merge(d)].
% 15.61/15.90  2283 iminus8 = iT | iminus4 = iT | iF = iplus9.  [para(110(b,1),377(a,2)),unit_del(c,148)].
% 15.61/15.90  2311 iminus2 = iT | iplus4 = iT | iF = iplus6.  [para(142(a,1),378(a,2)),unit_del(c,148)].
% 15.61/15.90  2346 iF = iminus8 | iminus4 = iT | iplus8 = iminus4.  [para(379(a,1),281(b,1))].
% 15.61/15.90  2348 iF = iminus8 | iplus4 = iT | iplus8 = iplus4.  [para(379(a,1),290(b,1))].
% 15.61/15.90  2376 iF = iplus3 | iminus3 != iT.  [para(380(b,1),148(a,1))].
% 15.61/15.90  2434 iplus8 = iT | iminus3 = iT | iF = iminus7.  [para(62(c,1),382(a,2)),unit_del(c,148)].
% 15.61/15.90  2471 iF = iminus2 | iplus2 != iT.  [para(383(a,1),148(a,1))].
% 15.61/15.90  2487 iF = iminus2 | iminus3 = iT | iplus2 = iminus3.  [para(383(a,1),362(b,1))].
% 15.61/15.90  2501 iplus3 = iT | iplus6 = iT | iF = iminus4.  [para(74(c,1),384(b,2)),unit_del(d,148)].
% 15.61/15.90  2502 iplus3 = iT | iplus1 = iT | iF = iminus4.  [para(112(c,1),384(b,2)),unit_del(d,148)].
% 15.61/15.90  2504 iF = iminus4 | iplus4 != iT.  [para(384(b,1),148(a,1))].
% 15.61/15.90  2815 iplus8 = iminus2 | iplus8 = iplus3 | iplus2 = iminus3.  [para(392(a,1),389(b,1))].
% 15.61/15.90  2843 iplus8 = iminus4 | iplus8 = iplus3 | iminus3 = iplus4.  [para(393(b,1),389(b,1)),flip(c)].
% 15.61/15.90  7650 iminus4 = iT | iplus6 = iT | iplus9 = iT.  [para(600(a,1),72(a,1)),merge(c),merge(d)].
% 15.61/15.90  7748 iminus4 = iT | iplus9 = iT | iplus6 = iminus4.  [para(634(a,1),588(d,1)),merge(d),merge(e),merge(f)].
% 15.61/15.90  7788 iplus4 = iplus1 | iplus4 = iT | iF = iminus2.  [resolve(736,b,2471,b)].
% 15.61/15.90  8509 iminus3 = iminus8 | iminus3 = iT | iplus2 = iplus3.  [para(1994(c,1),300(b,1)),flip(d),merge(d)].
% 15.61/15.90  8538 iminus3 = iT | iminus8 = iT.  [para(2032(a,1),120(a,1)),merge(c),merge(d),merge(e)].
% 15.61/15.90  8545 iminus8 = iT | iplus4 = iplus3 | iplus4 = iT.  [para(8538(a,1),291(b,1)),flip(c)].
% 15.61/15.90  8601 iminus7 = iminus3 | iminus3 = iT | iplus8 = iplus3.  [para(2062(b,1),389(b,1)),flip(d),merge(d)].
% 15.61/15.90  8863 iminus4 = iT | iminus3 = iT | iplus8 = iT.  [para(102(c,1),2434(c,2)),merge(d),unit_del(d,148)].
% 15.61/15.90  8912 iminus3 = iT | iplus2 = iminus3 | iminus2 != iT.  [para(2487(a,1),148(a,1))].
% 15.61/15.90  8920 iplus3 = iT | iplus6 = iT | iminus4 != iT.  [para(2501(c,1),148(a,1))].
% 15.61/15.90  8921 iplus3 = iT | iplus1 = iT | iminus4 != iT.  [para(2502(c,1),148(a,1))].
% 15.61/15.90  10097 iminus4 = iT | iplus9 = iT.  [para(7748(c,1),7650(b,1)),merge(c),merge(d),merge(e)].
% 15.61/15.90  10129 iminus4 = iT | iminus2 = iT | iplus3 = iT.  [para(10097(b,1),898(a,2)),merge(d)].
% 15.61/15.90  10134 iminus4 = iT | iminus8 = iT.  [para(10097(b,1),2283(c,2)),merge(c),unit_del(c,148)].
% 15.61/15.90  10182 iminus4 = iT | iplus2 = iT.  [para(10134(b,1),777(a,2)),merge(c),merge(d)].
% 15.61/15.90  10186 iminus4 = iT | iplus8 = iminus4.  [para(10134(b,1),2346(a,2)),merge(c),unit_del(b,148)].
% 15.61/15.90  10270 iminus4 = iT | iF = iminus2.  [resolve(10182,b,2471,b)].
% 15.61/15.90  10400 iminus4 = iT | iminus2 != iT.  [para(10270(b,1),148(a,1))].
% 15.61/15.90  10543 iplus4 = iplus6 | iplus4 = iT | iplus4 = iplus1.  [para(671(c,1),7788(c,2)),merge(d),unit_del(d,148)].
% 15.61/15.90  10565 iplus4 = iplus3 | iplus4 = iT | iminus8 = iplus3.  [para(8545(a,1),1835(c,1)),flip(e),merge(d),merge(e)].
% 15.61/15.90  10566 iplus4 = iplus3 | iplus4 = iT | iplus8 = iplus4.  [para(8545(a,1),2348(a,2)),merge(d),unit_del(c,148)].
% 15.61/15.90  10636 iminus4 = iT | iminus3 = iT.  [para(8863(c,1),10186(b,1)),flip(d),merge(c),merge(d)].
% 15.61/15.90  10657 iminus4 = iT | iF = iplus3.  [resolve(10636,b,2376,b)].
% 15.61/15.90  10671 iminus4 = iT | iplus3 != iT.  [para(10657(b,1),148(a,1))].
% 15.61/15.90  11003 iminus4 = iT | iplus3 = iT.  [resolve(10129,b,10400,b),merge(c)].
% 15.61/15.90  11004 iminus4 = iT.  [resolve(11003,b,10671,b),merge(b)].
% 15.61/15.90  11218 iplus3 = iT | iplus1 = iT.  [back_rewrite(8921),rewrite([11004(7)]),xx(c)].
% 15.61/15.90  11219 iplus3 = iT | iplus6 = iT.  [back_rewrite(8920),rewrite([11004(7)]),xx(c)].
% 15.61/15.90  11878 iplus8 = iT | iplus8 = iplus3 | iminus3 = iplus4.  [back_rewrite(2843),rewrite([11004(2)])].
% 15.61/15.90  11907 iplus4 != iT.  [back_rewrite(2504),rewrite([11004(2)]),unit_del(a,148)].
% 15.61/15.90  12043 iF = iplus4.  [back_rewrite(384),rewrite([11004(2)]),unit_del(a,148)].
% 15.61/15.90  12051 iplus4 = iplus3 | iplus8 = iplus4.  [back_unit_del(10566),unit_del(b,11907)].
% 15.61/15.90  12052 iplus4 = iplus3 | iminus8 = iplus3.  [back_unit_del(10565),unit_del(b,11907)].
% 15.61/15.90  12053 iplus4 = iplus6 | iplus4 = iplus1.  [back_unit_del(10543),unit_del(b,11907)].
% 15.61/15.90  12184 iminus2 = iT | iplus4 = iplus6.  [back_unit_del(2311),rewrite([12043(7)]),unit_del(b,11907)].
% 15.61/15.90  13760 iplus3 = iT | iplus4 = iplus6.  [para(11218(b,1),12053(b,2)),unit_del(c,11907)].
% 15.61/15.90  13928 iplus4 = iplus6 | iminus3 = iT | iplus2 = iminus3.  [resolve(12184,a,8912,c)].
% 15.61/15.90  14122 iplus3 = iT.  [para(11219(b,1),13760(b,2)),merge(b),unit_del(b,11907)].
% 15.61/15.90  14261 iminus8 = iT.  [back_rewrite(12052),rewrite([14122(2),14122(5)]),unit_del(a,11907)].
% 15.61/15.90  14262 iplus8 = iplus4.  [back_rewrite(12051),rewrite([14122(2)]),unit_del(a,11907)].
% 15.61/15.90  14271 iminus3 = iplus4.  [back_rewrite(11878),rewrite([14262(1),14262(4),14122(5)]),merge(b),unit_del(a,11907)].
% 15.61/15.90  14315 iminus7 = iplus4.  [back_rewrite(8601),rewrite([14271(2),14271(4),14262(7),14122(8)]),merge(c),unit_del(b,11907)].
% 15.61/15.90  14316 iplus2 = iT.  [back_rewrite(8509),rewrite([14271(1),14261(2),14271(4),14122(8)]),merge(b),unit_del(a,11907)].
% 15.61/15.90  14382 iminus2 = iplus4.  [back_rewrite(2815),rewrite([14262(1),14262(4),14122(5),14316(7),14271(8)]),flip(a),flip(c),merge(c),unit_del(b,11907)].
% 15.61/15.90  14389 iplus6 = iT.  [back_rewrite(1274),rewrite([14315(1),14122(2),14382(7),14271(10)]),merge(c),merge(d),unit_del(a,11907)].
% 15.61/15.90  14391 $F.  [back_unit_del(13928),rewrite([14389(2),14271(4),14316(7),14271(8)]),flip(c),merge(b),merge(c),unit_del(a,11907)].
% 15.61/15.90  
% 15.61/15.90  % SZS output end Refutation
% 15.61/15.90  ============================== end of proof ==========================
% 15.61/15.90  
% 15.61/15.90  ============================== STATISTICS ============================
% 15.61/15.90  
% 15.61/15.90  Given=5372. Generated=1152388. Kept=14327. proofs=1.
% 15.61/15.90  Usable=2308. Sos=4794. Demods=14. Limbo=166, Disabled=7164. Hints=0.
% 15.61/15.90  Megabytes=9.73.
% 15.61/15.90  User_CPU=14.48, System_CPU=0.60, Wall_clock=15.
% 15.61/15.90  
% 15.61/15.90  ============================== end of statistics =====================
% 15.61/15.90  
% 15.61/15.90  ============================== end of search =========================
% 15.61/15.90  
% 15.61/15.90  THEOREM PROVED
% 15.61/15.90  % SZS status Unsatisfiable
% 15.61/15.90  
% 15.61/15.90  Exiting with 1 proof.
% 15.61/15.90  
% 15.61/15.90  Process 8883 exit (max_proofs) Tue Jun  7 18:38:51 2022
% 15.61/15.90  Prover9 interrupted
%------------------------------------------------------------------------------