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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC305-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:03:23 PM UTC 2026

% Result   : Unsatisfiable 11.56s 2.52s
% Output   : Refutation 13.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   87 (  33 unt;   6 def)
%            Number of atoms       :  243 (  36 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  319 ( 163   ~; 156   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  14 con; 0-2 aty)
%            Number of variables   :   79 (  79   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f117,axiom,
    ! [X0,X1] :
      ( ~ lt(X1,X0)
      | ~ lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f126,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(reorient_equations,[],[f125]) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f195,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
      | ~ ssList(X4)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ strictorderedP(X5)
      | ~ ssList(X5)
      | lt(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f207,negated_conjecture,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f209,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f212,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f213,negated_conjecture,
    ssList(sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f214,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f215,plain,
    sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    inference(reorient_equations,[],[f214]) ).

fof(f216,negated_conjecture,
    lt(sk6,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f219,plain,
    sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    inference(definition_unfolding,[],[f215,f205]) ).

fof(f239,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X4)
      | lt(X1,X3) ),
    inference(equality_resolution,[],[f195]) ).

fof(f244,definition,
    sF0 = cons(sk5,nil),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f245,plain,
    cons(sk5,nil) = sF0,
    inference(reorient_equations,[],[f244]) ).

fof(f246,definition,
    sF1 = app(sk7,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f247,plain,
    app(sk7,sF0) = sF1,
    inference(reorient_equations,[],[f246]) ).

fof(f248,definition,
    sF2 = app(sF1,sk8),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f249,plain,
    app(sF1,sk8) = sF2,
    inference(reorient_equations,[],[f248]) ).

fof(f250,definition,
    sF3 = cons(sk6,nil),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f251,plain,
    cons(sk6,nil) = sF3,
    inference(reorient_equations,[],[f250]) ).

fof(f252,definition,
    sF4 = app(sF2,sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f253,plain,
    app(sF2,sF3) = sF4,
    inference(reorient_equations,[],[f252]) ).

fof(f254,definition,
    sF5 = app(sF4,sk9),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f255,plain,
    app(sF4,sk9) = sF5,
    inference(reorient_equations,[],[f254]) ).

fof(f256,plain,
    sk3 = sF5,
    inference(definition_folding,[],[f219,f255,f253,f251,f249,f247,f245]) ).

fof(f263,plain,
    sk3 = app(sF4,sk9),
    inference(forward_demodulation,[],[f255,f256]) ).

fof(f281,plain,
    ( ssList(sF1)
    | ~ ssList(sk7)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f85,f247]) ).

fof(f282,plain,
    ( ssList(sF2)
    | ~ ssList(sF1)
    | ~ ssList(sk8) ),
    inference(superposition,[],[f85,f249]) ).

fof(f285,plain,
    ( ~ ssList(sF1)
    | ssList(sF2) ),
    inference(forward_subsumption_resolution,[],[f282,f212]) ).

fof(f286,plain,
    ( ~ ssList(sF0)
    | ssList(sF1) ),
    inference(forward_subsumption_resolution,[],[f281,f211]) ).

fof(f289,plain,
    ! [X0] :
      ( app(sk7,app(sF0,X0)) = app(sF1,X0)
      | ~ ssList(sF0)
      | ~ ssList(sk7)
      | ~ ssList(X0) ),
    inference(superposition,[],[f161,f247]) ).

fof(f291,plain,
    ! [X0] :
      ( app(sF2,app(sF3,X0)) = app(sF4,X0)
      | ~ ssList(sF3)
      | ~ ssList(sF2)
      | ~ ssList(X0) ),
    inference(superposition,[],[f161,f253]) ).

fof(f304,plain,
    ! [X0] :
      ( app(sk7,app(sF0,X0)) = app(sF1,X0)
      | ~ ssList(sF0)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f289,f211]) ).

fof(f318,plain,
    ( ~ lt(sk5,sk6)
    | ~ ssItem(sk5)
    | ~ ssItem(sk6) ),
    inference(resolution,[],[f117,f216]) ).

fof(f319,plain,
    ( ~ lt(sk5,sk6)
    | ~ ssItem(sk6) ),
    inference(forward_subsumption_resolution,[],[f318,f209]) ).

fof(f320,plain,
    ~ lt(sk5,sk6),
    inference(forward_subsumption_resolution,[],[f319,f210]) ).

fof(f333,plain,
    ( ssList(sF0)
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f86,f245]) ).

fof(f334,plain,
    ( ssList(sF3)
    | ~ ssList(nil)
    | ~ ssItem(sk6) ),
    inference(superposition,[],[f86,f251]) ).

fof(f335,plain,
    ( ssList(sF3)
    | ~ ssItem(sk6) ),
    inference(forward_subsumption_resolution,[],[f334,f8]) ).

fof(f336,plain,
    ( ssList(sF0)
    | ~ ssItem(sk5) ),
    inference(forward_subsumption_resolution,[],[f333,f8]) ).

fof(f337,plain,
    ssList(sF3),
    inference(forward_subsumption_resolution,[],[f335,f210]) ).

fof(f338,plain,
    ssList(sF0),
    inference(forward_subsumption_resolution,[],[f336,f209]) ).

fof(f372,plain,
    ! [X0] :
      ( app(sF0,X0) = cons(sk5,X0)
      | ~ ssList(X0)
      | ~ ssItem(sk5) ),
    inference(superposition,[],[f126,f245]) ).

fof(f373,plain,
    ! [X0] :
      ( app(sF3,X0) = cons(sk6,X0)
      | ~ ssList(X0)
      | ~ ssItem(sk6) ),
    inference(superposition,[],[f126,f251]) ).

fof(f383,plain,
    ! [X0] :
      ( app(sF3,X0) = cons(sk6,X0)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f373,f210]) ).

fof(f384,plain,
    ! [X0] :
      ( app(sF0,X0) = cons(sk5,X0)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f372,f209]) ).

fof(f431,plain,
    ssList(sF1),
    inference(resolution,[],[f286,f338]) ).

fof(f492,plain,
    ! [X0] :
      ( app(sF1,X0) = app(sk7,cons(sk5,X0))
      | ~ ssList(sF0)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f304,f384]) ).

fof(f495,plain,
    ! [X0] :
      ( ssList(cons(sk5,X0))
      | ~ ssList(sF0)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f85,f384]) ).

fof(f501,plain,
    ! [X0] :
      ( ssList(cons(sk5,X0))
      | ~ ssList(sF0)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f495]) ).

fof(f504,plain,
    ! [X0] :
      ( app(sF1,X0) = app(sk7,cons(sk5,X0))
      | ~ ssList(sF0)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f492]) ).

fof(f507,plain,
    ! [X0] :
      ( ssList(cons(sk5,X0))
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f501,f338]) ).

fof(f510,plain,
    ! [X0] :
      ( app(sF1,X0) = app(sk7,cons(sk5,X0))
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f504,f338]) ).

fof(f522,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssList(sk7)
      | ~ ssItem(X1)
      | ~ ssItem(sk5)
      | ~ strictorderedP(app(app(sk7,cons(sk5,X0)),cons(X1,X2)))
      | ~ ssList(X2)
      | lt(sk5,X1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f239,f510]) ).

fof(f525,plain,
    ! [X0] :
      ( ssList(app(sF1,X0))
      | ~ ssList(sk7)
      | ~ ssList(cons(sk5,X0))
      | ~ ssList(X0) ),
    inference(superposition,[],[f85,f510]) ).

fof(f526,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssList(sk7)
      | ~ ssItem(X1)
      | ~ ssItem(sk5)
      | ~ strictorderedP(app(app(sk7,cons(sk5,X0)),cons(X1,X2)))
      | ~ ssList(X2)
      | lt(sk5,X1) ),
    inference(duplicate_literal_removal,[],[f522]) ).

fof(f527,plain,
    ! [X0] :
      ( ssList(app(sF1,X0))
      | ~ ssList(sk7)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f525,f507]) ).

fof(f530,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssItem(sk5)
      | ~ strictorderedP(app(app(sk7,cons(sk5,X0)),cons(X1,X2)))
      | ~ ssList(X2)
      | lt(sk5,X1) ),
    inference(forward_subsumption_resolution,[],[f526,f211]) ).

fof(f532,plain,
    ! [X0] :
      ( ssList(app(sF1,X0))
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f527,f211]) ).

fof(f535,plain,
    ! [X2,X0,X1] :
      ( ~ strictorderedP(app(app(sk7,cons(sk5,X0)),cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X2)
      | lt(sk5,X1) ),
    inference(forward_subsumption_resolution,[],[f530,f209]) ).

fof(f623,plain,
    ssList(sF2),
    inference(resolution,[],[f431,f285]) ).

fof(f749,plain,
    ! [X0] :
      ( app(sF4,X0) = app(sF2,cons(sk6,X0))
      | ~ ssList(sF3)
      | ~ ssList(sF2)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f291,f383]) ).

fof(f762,plain,
    ! [X0] :
      ( app(sF4,X0) = app(sF2,cons(sk6,X0))
      | ~ ssList(sF3)
      | ~ ssList(sF2)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f749]) ).

fof(f769,plain,
    ! [X0] :
      ( app(sF4,X0) = app(sF2,cons(sk6,X0))
      | ~ ssList(sF2)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f762,f337]) ).

fof(f776,plain,
    ! [X0] :
      ( app(sF4,X0) = app(sF2,cons(sk6,X0))
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f769,f623]) ).

fof(f1163,plain,
    ! [X2,X0,X1] :
      ( ~ strictorderedP(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X2)
      | lt(sk5,X1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f535,f510]) ).

fof(f1167,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X2)
      | lt(sk5,X1) ),
    inference(duplicate_literal_removal,[],[f1163]) ).

fof(f1493,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X2)
      | lt(sk5,X1)
      | ~ ssList(app(sF1,X0))
      | ~ ssList(cons(X1,X2)) ),
    inference(resolution,[],[f1167,f85]) ).

fof(f1512,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssList(X2)
      | lt(sk5,X1)
      | ~ ssList(app(sF1,X0)) ),
    inference(forward_subsumption_resolution,[],[f1493,f86]) ).

fof(f1520,plain,
    ! [X2,X0,X1] :
      ( ~ strictorderedP(app(app(sF1,X0),cons(X1,X2)))
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | lt(sk5,X1) ),
    inference(forward_subsumption_resolution,[],[f1512,f532]) ).

fof(f1526,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(app(sF2,cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(sk8)
      | ~ ssList(X1)
      | lt(sk5,X0) ),
    inference(superposition,[],[f1520,f249]) ).

fof(f1540,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(app(sF2,cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | lt(sk5,X0) ),
    inference(forward_subsumption_resolution,[],[f1526,f212]) ).

fof(f1546,plain,
    ! [X0] :
      ( ~ strictorderedP(app(sF4,X0))
      | ~ ssItem(sk6)
      | ~ ssList(X0)
      | lt(sk5,sk6)
      | ~ ssList(X0) ),
    inference(superposition,[],[f1540,f776]) ).

fof(f1547,plain,
    ! [X0] :
      ( ~ strictorderedP(app(sF4,X0))
      | ~ ssItem(sk6)
      | ~ ssList(X0)
      | lt(sk5,sk6) ),
    inference(duplicate_literal_removal,[],[f1546]) ).

fof(f1548,plain,
    ! [X0] :
      ( ~ strictorderedP(app(sF4,X0))
      | ~ ssList(X0)
      | lt(sk5,sk6) ),
    inference(forward_subsumption_resolution,[],[f1547,f210]) ).

fof(f1551,plain,
    ! [X0] :
      ( ~ strictorderedP(app(sF4,X0))
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f1548,f320]) ).

fof(f1556,plain,
    ( ~ strictorderedP(sk3)
    | ~ ssList(sk9) ),
    inference(superposition,[],[f1551,f263]) ).

fof(f1561,plain,
    ~ ssList(sk9),
    inference(forward_subsumption_resolution,[],[f1556,f207]) ).

fof(f1563,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1561,f213]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC305-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n004.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 08:59:07 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running first-order theorem proving
% 0.08/0.24  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.72/2.18  % (218404)Input is clausal, will run a generic CNF schedule.
% 10.72/2.18  % (218409)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1440975534:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.72/2.18  % (218414)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2944009473:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.72/2.18  % (218415)dis-21_1_sil=8000:lcm=predicate:random_seed=1472711784:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.72/2.18  % (218413)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1236213177:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.72/2.18  % (218410)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3531920948:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.72/2.18  % (218412)lrs+10_1_sil=8000:sp=occurrence:random_seed=4271405038:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.72/2.18  % (218411)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3318845093:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.72/2.18  % (218415)Instruction limit reached! 
% 10.72/2.18  % (218415)------------------------------
% 10.72/2.18  % (218415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.18  % (218415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.18  % (218415)CaDiCaL version: 2.1.3
% 10.72/2.18  % (218415)Termination reason: Instruction limit
% 10.72/2.18  % (218415)Termination phase: Saturation
% 10.72/2.18  % (218415)Time elapsed: 0.059 s
% 10.72/2.18  % (218415)Peak memory usage: 89 MB
% 10.72/2.18  % (218415)Instructions burned: 117 (million)
% 10.72/2.18  % (218412)Instruction limit reached! 
% 10.72/2.18  % (218412)------------------------------
% 10.72/2.18  % (218412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.18  % (218412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.18  % (218412)CaDiCaL version: 2.1.3
% 10.72/2.18  % (218412)Termination reason: Instruction limit
% 10.72/2.18  % (218412)Termination phase: Saturation
% 10.72/2.18  % (218412)Time elapsed: 0.066 s
% 10.72/2.18  % (218412)Peak memory usage: 90 MB
% 10.72/2.18  % (218412)Instructions burned: 107 (million)
% 10.72/2.18  % (218413)Instruction limit reached! 
% 10.72/2.18  % (218413)------------------------------
% 10.72/2.18  % (218413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.18  % (218413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.18  % (218413)CaDiCaL version: 2.1.3
% 10.72/2.18  % (218413)Termination reason: Instruction limit
% 10.72/2.18  % (218413)Termination phase: Saturation
% 10.72/2.18  % (218413)Time elapsed: 0.066 s
% 10.72/2.18  % (218413)Peak memory usage: 89 MB
% 10.72/2.18  % (218413)Instructions burned: 114 (million)
% 10.72/2.18  % (218414)Instruction limit reached! 
% 10.72/2.18  % (218414)------------------------------
% 10.72/2.18  % (218414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.18  % (218414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.18  % (218414)CaDiCaL version: 2.1.3
% 10.72/2.18  % (218414)Termination reason: Instruction limit
% 10.72/2.18  % (218414)Termination phase: Saturation
% 10.72/2.18  % (218414)Time elapsed: 0.120 s
% 10.72/2.18  % (218414)Peak memory usage: 90 MB
% 10.72/2.18  % (218414)Instructions burned: 181 (million)
% 10.72/2.18  % (218423)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=660300550:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.72/2.18  % (218424)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1901771647:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.72/2.18  % (218425)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1699738705:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.72/2.18  % (218426)lrs+10_64_to=lpo:sil=8000:random_seed=581829175:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.72/2.18  % (218423)Instruction limit reached! 
% 10.72/2.18  % (218423)------------------------------
% 10.72/2.18  % (218423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218423)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218423)Termination reason: Instruction limit
% 11.56/2.52  % (218423)Termination phase: Saturation
% 11.56/2.52  % (218423)Time elapsed: 0.091 s
% 11.56/2.52  % (218423)Peak memory usage: 90 MB
% 11.56/2.52  % (218423)Instructions burned: 143 (million)
% 11.56/2.52  % (218424)Instruction limit reached! 
% 11.56/2.52  % (218424)------------------------------
% 11.56/2.52  % (218424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218424)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218424)Termination reason: Instruction limit
% 11.56/2.52  % (218424)Termination phase: Saturation
% 11.56/2.52  % (218424)Time elapsed: 0.097 s
% 11.56/2.52  % (218424)Peak memory usage: 91 MB
% 11.56/2.52  % (218424)Instructions burned: 190 (million)
% 11.56/2.52  % (218426)Instruction limit reached! 
% 11.56/2.52  % (218426)------------------------------
% 11.56/2.52  % (218426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218426)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218426)Termination reason: Instruction limit
% 11.56/2.52  % (218426)Termination phase: Saturation
% 11.56/2.52  % (218426)Time elapsed: 0.064 s
% 11.56/2.52  % (218426)Peak memory usage: 90 MB
% 11.56/2.52  % (218426)Instructions burned: 127 (million)
% 11.56/2.52  % (218425)Instruction limit reached! 
% 11.56/2.52  % (218425)------------------------------
% 11.56/2.52  % (218425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218425)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218425)Termination reason: Instruction limit
% 11.56/2.52  % (218425)Termination phase: Saturation
% 11.56/2.52  % (218425)Time elapsed: 0.132 s
% 11.56/2.52  % (218425)Peak memory usage: 90 MB
% 11.56/2.52  % (218425)Instructions burned: 220 (million)
% 11.56/2.52  % (218431)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1149594238:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.56/2.52  % (218432)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=805069968:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.56/2.52  % (218434)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3883911441:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 11.56/2.52  % (218433)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=838220420:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 11.56/2.52  % (218432)Instruction limit reached! 
% 11.56/2.52  % (218432)------------------------------
% 11.56/2.52  % (218432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218432)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218432)Termination reason: Instruction limit
% 11.56/2.52  % (218432)Termination phase: Saturation
% 11.56/2.52  % (218432)Time elapsed: 0.092 s
% 11.56/2.52  % (218432)Peak memory usage: 91 MB
% 11.56/2.52  % (218432)Instructions burned: 158 (million)
% 11.56/2.52  % (218434)Instruction limit reached! 
% 11.56/2.52  % (218434)------------------------------
% 11.56/2.52  % (218434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218434)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218434)Termination reason: Instruction limit
% 11.56/2.52  % (218434)Termination phase: Saturation
% 11.56/2.52  % (218434)Time elapsed: 0.056 s
% 11.56/2.52  % (218434)Peak memory usage: 89 MB
% 11.56/2.52  % (218434)Instructions burned: 106 (million)
% 11.56/2.52  % (218431)Instruction limit reached! 
% 11.56/2.52  % (218431)------------------------------
% 11.56/2.52  % (218431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218431)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218431)Termination reason: Instruction limit
% 11.56/2.52  % (218431)Termination phase: Saturation
% 11.56/2.52  % (218431)Time elapsed: 0.123 s
% 11.56/2.52  % (218431)Peak memory usage: 90 MB
% 11.56/2.52  % (218431)Instructions burned: 194 (million)
% 11.56/2.52  % (218439)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1342206815:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.56/2.52  % (218440)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1553930195:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 11.56/2.52  % (218441)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4246312474:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 11.56/2.52  % (218439)Instruction limit reached! 
% 11.56/2.52  % (218439)------------------------------
% 11.56/2.52  % (218439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218439)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218439)Termination reason: Instruction limit
% 11.56/2.52  % (218439)Termination phase: Saturation
% 11.56/2.52  % (218439)Time elapsed: 0.063 s
% 11.56/2.52  % (218439)Peak memory usage: 90 MB
% 11.56/2.52  % (218439)Instructions burned: 107 (million)
% 11.56/2.52  % (218440)Instruction limit reached! 
% 11.56/2.52  % (218440)------------------------------
% 11.56/2.52  % (218440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218440)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218440)Termination reason: Instruction limit
% 11.56/2.52  % (218440)Termination phase: Saturation
% 11.56/2.52  % (218440)Time elapsed: 0.153 s
% 11.56/2.52  % (218440)Peak memory usage: 90 MB
% 11.56/2.52  % (218440)Instructions burned: 243 (million)
% 11.56/2.52  % (218445)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=431298391:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 11.56/2.52  % (218445)Instruction limit reached! 
% 11.56/2.52  % (218445)------------------------------
% 11.56/2.52  % (218445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218445)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218445)Termination reason: Instruction limit
% 11.56/2.52  % (218445)Termination phase: Saturation
% 11.56/2.52  % (218445)Time elapsed: 0.084 s
% 11.56/2.52  % (218445)Peak memory usage: 90 MB
% 11.56/2.52  % (218445)Instructions burned: 134 (million)
% 11.56/2.52  % (218446)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2814265507:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 11.56/2.52  % (218448)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3782793922:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 11.56/2.52  % (218448)Instruction limit reached! 
% 11.56/2.52  % (218448)------------------------------
% 11.56/2.52  % (218448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218448)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218448)Termination reason: Instruction limit
% 11.56/2.52  % (218448)Termination phase: Saturation
% 11.56/2.52  % (218448)Time elapsed: 0.099 s
% 11.56/2.52  % (218448)Peak memory usage: 92 MB
% 11.56/2.52  % (218448)Instructions burned: 192 (million)
% 11.56/2.52  % (218446)Instruction limit reached! 
% 11.56/2.52  % (218446)------------------------------
% 11.56/2.52  % (218446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218446)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218446)Termination reason: Instruction limit
% 11.56/2.52  % (218446)Termination phase: Saturation
% 11.56/2.52  % (218446)Time elapsed: 0.253 s
% 11.56/2.52  % (218446)Peak memory usage: 101 MB
% 11.56/2.52  % (218446)Instructions burned: 500 (million)
% 11.56/2.52  % (218451)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3212986424:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 11.56/2.52  % (218452)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=224358958:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 11.56/2.52  % (218452)Instruction limit reached! 
% 11.56/2.52  % (218452)------------------------------
% 11.56/2.52  % (218452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218452)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218452)Termination reason: Instruction limit
% 11.56/2.52  % (218452)Termination phase: Saturation
% 11.56/2.52  % (218452)Time elapsed: 0.087 s
% 11.56/2.52  % (218452)Peak memory usage: 90 MB
% 11.56/2.52  % (218452)Instructions burned: 157 (million)
% 11.56/2.52  % (218451)Instruction limit reached! 
% 11.56/2.52  % (218451)------------------------------
% 11.56/2.52  % (218451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.52  % (218451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.52  % (218451)CaDiCaL version: 2.1.3
% 11.56/2.52  % (218451)Termination reason: Instruction limit
% 11.56/2.52  % (218451)Termination phase: Saturation
% 11.56/2.52  % (218451)Time elapsed: 0.138 s
% 11.56/2.52  % (218451)Peak memory usage: 91 MB
% 11.56/2.52  % (218451)Instructions burned: 265 (million)
% 11.56/2.52  % (218441)First to succeed.
% 11.56/2.52  % (218441)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-218404"
% 11.56/2.52  % (218455)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2986613720:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 11.56/2.52  % (218456)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=713583777:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 11.56/2.52  % (218441)Refutation found. Thanks to Tanya!
% 11.56/2.52  % SZS status Unsatisfiable for theBenchmark
% 11.56/2.52  % SZS output start Proof for theBenchmark
% See solution above
% 13.57/2.62  % (218441)------------------------------
% 13.57/2.62  % (218441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.62  % (218441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.62  % (218441)CaDiCaL version: 2.1.3
% 13.57/2.62  % (218441)Termination reason: Refutation
% 13.57/2.62  % (218441)Time elapsed: 0.789 s
% 13.57/2.62  % (218441)Peak memory usage: 131 MB
% 13.57/2.62  % (218441)Instructions burned: 1214 (million)
% 13.57/2.62  % (218441)------------------------------
% 13.57/2.62  % (218441)------------------------------
% 13.57/2.62  % (218404)Success in time 1.847 s
% 13.57/2.62  % Vampire exiting
%------------------------------------------------------------------------------