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Prover9---1109a.UNK-Non.f

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%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWX218+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n008.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  : 300s
% DateTime : Wed Apr 29 02:38:07 PM UTC 2026

% Result   : Unknown 169.43s 169.70s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX218+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.17/0.34  % Computer : n008.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Apr 29 01:49:28 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.76/1.07  ============================== Prover9 ===============================
% 0.76/1.07  Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.07  Process 10884 was started by sandbox on n008.cluster.edu,
% 0.76/1.07  Wed Apr 29 01:49:28 2026
% 0.76/1.07  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10729_n008.cluster.edu".
% 0.76/1.07  ============================== end of head ===========================
% 0.76/1.07  
% 0.76/1.07  ============================== INPUT =================================
% 0.76/1.07  
% 0.76/1.07  % Reading from file /tmp/Prover9_10729_n008.cluster.edu
% 0.76/1.07  
% 0.76/1.07  set(prolog_style_variables).
% 0.76/1.07  set(auto2).
% 0.76/1.07      % set(auto2) -> set(auto).
% 0.76/1.07      % set(auto) -> set(auto_inference).
% 0.76/1.07      % set(auto) -> set(auto_setup).
% 0.76/1.07      % set(auto_setup) -> set(predicate_elim).
% 0.76/1.07      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.07      % set(auto) -> set(auto_limits).
% 0.76/1.07      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.07      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.07      % set(auto) -> set(auto_denials).
% 0.76/1.07      % set(auto) -> set(auto_process).
% 0.76/1.07      % set(auto2) -> assign(new_constants, 1).
% 0.76/1.07      % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.07      % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.07      % set(auto2) -> assign(max_hours, 1).
% 0.76/1.07      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.07      % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.07      % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.07      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.07      % set(auto2) -> set(sort_initial_sos).
% 0.76/1.07      % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.07      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.07      % set(auto2) -> assign(max_megs, 400).
% 0.76/1.07      % set(auto2) -> assign(stats, some).
% 0.76/1.07      % set(auto2) -> clear(echo_input).
% 0.76/1.07      % set(auto2) -> set(quiet).
% 0.76/1.07      % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.07      % set(auto2) -> clear(print_given).
% 0.76/1.07  assign(lrs_ticks,-1).
% 0.76/1.07  assign(sos_limit,10000).
% 0.76/1.07  assign(order,kbo).
% 0.76/1.07  set(lex_order_vars).
% 0.76/1.07  clear(print_given).
% 0.76/1.07  
% 0.76/1.07  % formulas(sos).  % not echoed (65 formulas)
% 0.76/1.07  
% 0.76/1.07  ============================== end of input ==========================
% 0.76/1.07  
% 0.76/1.07  % From the command line: assign(max_seconds, 300).
% 0.76/1.07  
% 0.76/1.07  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.07  
% 0.76/1.07  % Formulas that are not ordinary clauses:
% 0.76/1.07  1 (all X all X2 all X3 proj1tuple(tuple2(X,X2,X3)) = X) # label(axiom_001) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  2 (all X all X2 all X3 proj2tuple(tuple2(X,X2,X3)) = X2) # label(axiom_002) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  3 (all X all X2 all X3 proj3tuple(tuple2(X,X2,X3)) = X3) # label(axiom_003) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  4 (all X all X2 proj1pair(pair22(X,X2)) = X) # label(axiom_004) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  5 (all X all X2 proj2pair(pair22(X,X2)) = X2) # label(axiom_005) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  6 (all X all X2 proj1pair2(pair23(X,X2)) = X) # label(axiom_006) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  7 (all X all X2 proj2pair2(pair23(X,X2)) = X2) # label(axiom_007) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  8 (all X all X2 proj1pair3(pair24(X,X2)) = X) # label(axiom_008) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  9 (all X all X2 proj2pair3(pair24(X,X2)) = X2) # label(axiom_009) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  10 (all X all X2 proj1pair4(pair25(X,X2)) = X) # label(axiom_010) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  11 (all X all X2 proj2pair4(pair25(X,X2)) = X2) # label(axiom_011) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  12 (all X all X2 head(cons(X,X2)) = X) # label(axiom_012) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  13 (all X all X2 tail(cons(X,X2)) = X2) # label(axiom_013) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  14 (all X all X2 nil != cons(X,X2)) # label(axiom_014) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  15 (all X all X2 head2(cons2(X,X2)) = X) # label(axiom_015) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  16 (all X all X2 tail2(cons2(X,X2)) = X2) # label(axiom_016) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  17 (all X all X2 nil2 != cons2(X,X2)) # label(axiom_017) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  18 (all X proj1Succ(succ(X)) = X) # label(axiom_018) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  19 (all X zero != succ(X)) # label(axiom_019) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  20 (all X proj1Left(left(X)) = X) # label(axiom_020) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  21 (all X proj1Right(right(X)) = X) # label(axiom_021) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  22 (all X all X2 left(X) != right(X2)) # label(axiom_022) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  23 (all X proj1Lft(lft(X)) = X) # label(axiom_023) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  24 (all X proj1Rgt(rgt(X)) = X) # label(axiom_024) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  25 (all X all X2 lft(X) != rgt(X2)) # label(axiom_025) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  26 (all X lft(X) != stp) # label(axiom_026) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  27 (all X rgt(X) != stp) # label(axiom_027) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  28 (all Y all Xs split(cons2(Y,Xs)) = pair24(Y,Xs)) # label(axiom_032) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  29 (all Y rev(nil2,Y) = Y) # label(axiom_033) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  30 (all Y all Z all Xs (Z != o -> rev(cons2(Z,Xs),Y) = rev(Xs,cons2(Z,Y)))) # label(axiom_034) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  31 (all Y all Xs rev(cons2(o,Xs),Y) = Y) # label(axiom_035) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  32 (all Y apply(nil,Y) = pair25(o,stp)) # label(axiom_038) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  33 (all Y all Q all Sa all Rhs (Sa = Y -> apply(cons(pair22(Sa,Rhs),Q),Y) = Rhs)) # label(axiom_039) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  34 (all Y all Q all Sa all Rhs (Sa != Y -> apply(cons(pair22(Sa,Rhs),Q),Y) = apply(Q,Y))) # label(axiom_040) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  35 (all Y all Z all X2 all S all Y1 all Lft1 (split(Y) = pair24(Y1,Lft1) -> act(lft(S),Y,Z,X2) = right(tuple2(S,Lft1,cons2(Y1,cons2(Z,X2)))))) # label(axiom_041) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  36 (all Y all Z all X2 all T act(rgt(T),Y,Z,X2) = right(tuple2(T,cons2(Z,Y),X2))) # label(axiom_042) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  37 (all Y all Z all X2 act(stp,Y,Z,X2) = left(rev(Y,cons2(Z,X2)))) # label(axiom_043) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  38 (all X all S all Lft all Rgt all X1 all Rgt2 all X12 all What1 (split(Rgt) = pair24(X1,Rgt2) -> (apply(X,pair23(S,X1)) = pair25(X12,What1) -> step(X,tuple2(S,Lft,Rgt)) = act(What1,Lft,X12,Rgt2)))) # label(axiom_044) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  39 (all X all Y all Tape (step(X,Y) = left(Tape) -> steps(X,Y) = Tape)) # label(axiom_045) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  40 (all X all Y all St (step(X,Y) = right(St) -> steps(X,Y) = steps(X,St))) # label(axiom_046) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  41 (all X all Y runt(X,Y) = steps(X,tuple2(zero,nil2,Y))) # label(axiom_047) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  42 (all X (runt(X,cons2(a2,nil2)) = nil2 -> -prog0(X))) # label(axiom_048) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  43 (all X all Y all Z (runt(X,cons2(a2,nil2)) = cons2(Y,Z) -> (Y != a2 -> -prog0(X)))) # label(axiom_049) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  44 (all X (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = nil2 -> -prog0(X)))) # label(axiom_050) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  45 (all X all X2 all X3 (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(X2,X3) -> (X2 != a2 -> -prog0(X))))) # label(axiom_051) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.07  46 (all X (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,nil2) -> -prog0(X)))) # label(axiom_052) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  47 (all X all X4 all X5 (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(X4,X5)) -> (X4 != a2 -> -prog0(X))))) # label(axiom_053) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  48 (all X (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,nil2)) -> -prog0(X)))) # label(axiom_054) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  49 (all X all X6 all X7 (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,cons2(X6,X7))) -> (X6 != a2 -> -prog0(X))))) # label(axiom_055) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  50 (all X (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,cons2(a2,nil2))) -> -prog0(X)))) # label(axiom_056) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  51 (all X all X8 all X9 (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,cons2(a2,cons2(X8,X9)))) -> (X8 != a2 -> -prog0(X))))) # label(axiom_057) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  52 (all X (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,cons2(a2,cons2(a2,nil2)))) -> -prog0(X)))) # label(axiom_058) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  53 (all X all X10 all X11 (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(X10,X11))))) -> (X10 != b -> -prog0(X))))) # label(axiom_059) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  54 (all X (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))) -> -prog0(X)))) # label(axiom_060) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  55 (all X all X12 all X13 (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,cons2(X12,X13)))))) -> (X12 != b -> -prog0(X))))) # label(axiom_061) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  56 (all X (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,cons2(b,nil2)))))) -> prog0(X)))) # label(axiom_062) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  57 (all X all X14 all X15 (runt(X,cons2(a2,nil2)) = cons2(a2,nil2) -> (runt(X,cons2(b,cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,nil2))))))) = cons2(a2,cons2(a2,cons2(a2,cons2(a2,cons2(b,cons2(b,cons2(X14,X15))))))) -> -prog0(X)))) # label(axiom_063) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  58 (all X all X16 all X17 (runt(X,cons2(a2,nil2)) = cons2(a2,cons2(X16,X17)) -> -prog0(X))) # label(axiom_064) # label(axiom) # label(non_clause).  [assumption].
% 0.76/1.09  59 -(exists X exists Y exists Z exists V exists W prog0(cons(pair22(pair23(zero,a2),X),cons(pair22(pair23(zero,b),Y),cons(pair22(pair23(one,a2),Z),cons(pair22(pair23(one,b),V),cons(pair22(pair23(two,a2),W),nil))))))) # label(goal_065) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.76/1.09  
% 0.76/1.09  ============================== end of process non-clausal formulas ===
% 0.76/1.09  
% 0.76/1.09  ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.09  
% 0.76/1.09  ============================== PREDICATE ELIMINATION =================
% 0.76/1.09  
% 0.76/1.09  ============================== end predicate elimination =============
% 0.76/1.09  
% 0.76/1.09  Auto_denials:  (non-Horn, no changes).
% 0.76/1.09  
% 0.76/1.09  Term ordering decisions:
% 0.76/1.09  Function symbol KB weights:  a2=1. nil2=1. b=1. o=1. one=1. stp=1. zero=1. nil=1. two=1. cons2=1. runt=1. pair24=1. apply=1. rev=1. cons=1. pair22=1. pair25=1. steps=1. pair23=1. step=1. right=1. split=1. left=1. succ=1. lft=1. rgt=1. head=1. head2=1. proj1Left=1. proj1Lft=1. proj1Rgt=1. proj1Right=1. proj1Succ=1. proj1pair=1. proj1pair2=1. proj1pair3=1. proj1pair4=1. proj1tuple=1. proj2pair=1. proj2pair2=1. proj2pair3=1. proj2pair4=1. proj2tuple=1. proj3tuple=1. tail=1. tail2=1. tuple2=1. act=1.
% 169.43/169.70  
% 169.43/169.70  ============================== end of process initial clauses ========
% 169.43/169.70  
% 169.43/169.70  ============================== CLAUSES FOR SEARCH ====================
% 169.43/169.70  
% 169.43/169.70  ============================== end of clauses for search =============
% 169.43/169.70  
% 169.43/169.70  ============================== SEARCH ================================
% 169.43/169.70  
% 169.43/169.70  % Starting search at 0.04 seconds.
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=58.000, iters=3975
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=49.000, iters=3586
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=48.000, iters=3480
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=47.000, iters=3343
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=46.000, iters=3334
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=45.000, iters=3333
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=44.000, iters=3333
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=40.000, iters=3670
% 169.43/169.70  
% 169.43/169.70  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 33 (0.00 of 72.62 sec).
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=3944, wt=66.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=4338, wt=63.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=3934, wt=62.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=3922, wt=60.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=4376, wt=59.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=4363, wt=58.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=5708, wt=57.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=11011, wt=40.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=11014, wt=39.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=11026, wt=38.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=11042, wt=35.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=11126, wt=31.000
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=39.000, iters=3579
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=35.000, iters=3361
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=13241, wt=29.000
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=34.000, iters=3336
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=14365, wt=28.000
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=33.000, iters=3342
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=14389, wt=26.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=14395, wt=25.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=15049, wt=24.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=15070, wt=23.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=15549, wt=22.000
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=32.000, iters=3357
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=29337, wt=21.000
% 169.43/169.70  
% 169.43/169.70  Low Water (displace): id=88126, wt=20.000
% 169.43/169.70  
% 169.43/169.70  Low Water (keep): wt=31.000, iters=3334
% 169.43/169.70  
% 169.43/169.70  ============================== STATISTICS ============================
% 169.43/169.70  
% 169.43/169.70  Given=2004. Generated=4314755. Kept=468850. proofs=0.
% 169.43/169.70  Usable=1974. Sos=9999. Demods=72. Limbo=534, Disabled=456408. Hints=0.
% 169.43/169.70  Kept_by_rule=0, Deleted_by_rule=0.
% 169.43/169.70  Forward_subsumed=3417310. Back_subsumed=302.
% 169.43/169.70  Sos_limit_deleted=428594. Sos_displaced=456023. Sos_removed=0.
% 169.43/169.70  New_demodulators=82 (1 lex), Back_demodulated=18. Back_unit_deleted=0.
% 169.43/169.70  Demod_attempts=99523441. Demod_rewrites=31085.
% 169.43/169.70  Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 169.43/169.70  Nonunit_fsub_feature_tests=8805335. Nonunit_bsub_feature_tests=1095260.
% 169.43/169.70  Megabytes=419.43.
% 169.43/169.70  User_CPU=166.05, System_CPU=2.61, Wall_clock=169.
% 169.43/169.70  
% 169.43/169.70  Megs malloced by palloc(): 400.
% 169.43/169.70    type (bytes each)        gets      frees     in use      bytes
% 169.43/169.70  chunk ( 104)               1959       1959          0      0.0 K
% 169.43/169.70  string_buf (   8)          1830       1830          0      0.0 K
% 169.43/169.70  token (  20)               4615       4615          0      0.0 K
% 169.43/169.70  pterm (  16)               2675       2675          0      0.0 K
% 169.43/169.70  hashtab (   8)               59         59          0      0.0 K
% 169.43/169.70  hashnode (   8)             166        166          0      0.0 K
% 169.43/169.70  term (  20)           278008883  267124755   10884128 212580.6 K
% 169.43/169.70        term arg arrays:                                 62315.9 K
% 169.43/169.70  attribute (  12)            383          0        383      4.5 K
% 169.43/169.70  ilist (   8)          534975331  531759024    3216307  25127.4 K
% 169.43/169.70  plist (   8)           17660429   17178055     482374   3768.5 K
% 169.43/169.70  i2list (  12)          86117371   86117371          0      0.0 K
% 169.43/169.70  just (  12)             4761720    4282484     479236   5616.0 K
% 169.43/169.70  parajust (  16)          814800     803149      11651    182.0 K
% 169.43/169.70  instancejust (   8)           0          0          0      0.0 K
% 169.43/169.70  ivyjust (  24)                0          0          0      0.0 K
% 169.43/169.70  formula (  28)             1482        844        638     17.4 K
% 169.43/169.70      formula arg arrays:                                    2.0 K
% 169.43/169.70  topform (  52)          4314879    3845904     468975  23815.1 K
% 169.43/169.70  clist_pos (  20)        1395725     926738     468987   9159.9 K
% 169.43/169.70  clist (  16)                  8          1          7      0.1 K
% 169.43/169.70  context ( 808)         28631213   28631210          3      2.4 K
% 169.43/169.70  trail (  12)          639081441  639081437          4      0.0 K
% 169.43/169.70  ac_match_pos (70044)          0          0          0      0.0 K
% 169.43/169.70  ac_match_free_vars_pos (20020)
% 169.43/169.70                                0          0          0      0.0 K
% 169.43/169.70  btm_state (  60)              0          0          0      0.0 K
% 169.43/169.70  btu_state (  60)              0          0          0      0.0 K
% 169.43/169.70  ac_position (285432)          0          0          0      0.0 K
% 169.43/169.70  fpa_trie (  20)         2977750    2889802      87948   1717.7 K
% 169.43/169.70  fpa_state (  28)        6889172    6888915        257      7.0 K
% 169.43/169.70  fpa_index (  12)             10          0         10      0.1 K
% 169.43/169.70  fpa_chunk (  20)        6541852    6488250      53602   1046.9 K
% 169.43/169.70  fpa_list (  16)         2913269          0    2913269  45519.8 K
% 169.43/169.70        fpa_list chunks:                                  4828.5 K
% 169.43/169.70  discrim (  12)          2714664    2701246      13418    157.2 K
% 169.43/169.70  discrim_pos (  16)      3033437    3033437          0      0.0 K
% 169.43/169.70  flat2 (  32)          196776269  196776269          0      0.0 K
% 169.43/169.70  flat (  48)                   0          0          0      0.0 K
% 169.43/169.70  flatterm (  32)       148170388  148170388          0      0.0 K
% 169.43/169.70  mindex (  28)                13          0         13      0.4 K
% 169.43/169.70  mindex_pos (  56)      19371690   19371688          2      0.1 K
% 169.43/169.70  lindex (  12)                 5          0          5      0.1 K
% 169.43/169.70  clash (  40)              24255      24252          3      0.1 K
% 169.43/169.70  di_tree (  12)          1373814     797000     576814   6759.5 K
% 169.43/169.70  avl_node (  20)          936564     916566      19998    390.6 K
% 169.43/169.70  
% 169.43/169.70  Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 169.43/169.70  List   1, length      16,      0.1 K
% 169.43/169.70  List   2, length     189,      1.5 K
% 169.43/169.70  List   3, length    3178,     37.2 K
% 169.43/169.70  List   4, length       4,      0.1 K
% 169.43/169.70  List   8, length     250,      7.8 K
% 169.43/169.70  List   9, length       6,      0.2 K
% 169.43/169.70  List  10, length       2,      0.1 K
% 169.43/169.70  List  14, length       1,      0.1 K
% 169.43/169.70  List  16, length     257,     16.1 K
% 169.43/169.70  List  26, length      64,      6.5 K
% 169.43/169.70  List  32, length     201,     25.1 K
% 169.43/169.70  List  64, length     280,     70.0 K
% 169.43/169.70  List 128, length      75,     37.5 K
% 169.43/169.70  List 202, length       2,      1.6 K
% 169.43/169.70  List 256, length     398,    398.0 K
% 169.43/169.70  
% 169.43/169.70  ============================== SELECTOR REPORT =======================
% 169.43/169.70  Sos_deleted=428594, Sos_displaced=456023, Sos_size=9999
% 169.43/169.70    SELECTOR       PART   PRIORITY      ORDER       SIZE   SELECTED
% 169.43/169.70           I 2147483647       high        age          0         65
% 169.43/169.70           H          1       high     weight          0          0
% 169.43/169.70           A          1        low        age       9999        259
% 169.43/169.70           F          4        low     weight        290        648
% 169.43/169.70           T          4        low     weight       9709       1032
% 169.43/169.70  ============================== end of selector report ================
% 169.43/169.70  
% 169.43/169.70  ============================== end of statistics =====================
% 169.43/169.70  
% 169.43/169.70  Exiting with failure.
% 169.43/169.70  
% 169.43/169.70  Process 10884 exit (max_megs) Wed Apr 29 01:52:17 2026
% 169.43/169.70  Prover9 interrupted
%------------------------------------------------------------------------------