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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : DAT100_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 09:47:18 AM UTC 2026

% Result   : Theorem 3.81s 1.29s
% Output   : Refutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   57 (  15 unt;   0 typ;   6 def)
%            Number of atoms       :  172 (  66 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  184 (  69   ~;  81   |;  26   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number arithmetic     :  306 (  28 atm;   0 fun; 249 num;  29 var)
%            Number of types       :    3 (   1 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :   11 (   6 usr;   6 con; 0-2 aty)
%            Number of variables   :   58 (  48   !;  10   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    list: $tType ).

tff(func_def_0,type,
    nil: list ).

tff(func_def_1,type,
    cons: ( $int * list ) > list ).

tff(func_def_2,type,
    head: list > $int ).

tff(func_def_3,type,
    tail: list > list ).

tff(func_def_9,type,
    sK0: ( $int * list ) > $int ).

tff(func_def_10,type,
    sK1: ( $int * list ) > list ).

tff(pred_def_1,type,
    inRange: ( $int * list ) > $o ).

tff(f1,axiom,
    ! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).

tff(f2,axiom,
    ! [X1: list,X0: $int] : ( tail(cons(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2) ).

tff(f4,axiom,
    ! [X1: list,X0: $int] : ( cons(X0,X1) != nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4) ).

tff(f5,axiom,
    ! [X0: $int,X1: list] :
      ( ( ( X1 = nil )
        | ? [X2: $int,X3: list] :
            ( $lesseq(0,X2)
            & ( X1 = cons(X2,X3) )
            & $less(X2,X0)
            & inRange(X0,X3) ) )
    <=> inRange(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inRange) ).

tff(f6,conjecture,
    ~ inRange(4,cons(1,cons(5,cons(2,nil)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).

tff(f7,negated_conjecture,
    ~ ~ inRange(4,cons(1,cons(5,cons(2,nil)))),
    inference(negated_conjecture,[status(cth)],[f6]) ).

tff(f8,plain,
    ! [X0: $int,X1: list] :
      ( ( ? [X2: $int,X3: list] :
            ( ( X1 = cons(X2,X3) )
            & $less(X2,X0)
            & ~ $less(X2,0)
            & inRange(X0,X3) )
        | ( X1 = nil ) )
    <=> inRange(X0,X1) ),
    inference(theory_normalization,[],[f5]) ).

tff(f9,plain,
    ! [X0: list,X1: $int] : ( nil != cons(X1,X0) ),
    inference(rectify,[],[f4]) ).

tff(f10,plain,
    ! [X1: $int,X0: list] : ( tail(cons(X1,X0)) = X0 ),
    inference(rectify,[],[f2]) ).

tff(f11,plain,
    inRange(4,cons(1,cons(5,cons(2,nil)))),
    inference(flattening,[],[f7]) ).

tff(f12,plain,
    ! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
    inference(rectify,[],[f10]) ).

tff(f13,plain,
    ! [X0: $int,X1: list] :
      ( ( ? [X2: $int,X3: list] :
            ( ( X1 = cons(X2,X3) )
            & $less(X2,X0)
            & ~ $less(X2,0)
            & inRange(X0,X3) )
        | ( X1 = nil )
        | ~ inRange(X0,X1) )
      & ( inRange(X0,X1)
        | ( ! [X2: $int,X3: list] :
              ( ( cons(X2,X3) != X1 )
              | ~ $less(X2,X0)
              | $less(X2,0)
              | ~ inRange(X0,X3) )
          & ( nil != X1 ) ) ) ),
    inference(nnf_transformation,[],[f8]) ).

tff(f14,plain,
    ! [X0: $int,X1: list] :
      ( ( ? [X2: $int,X3: list] :
            ( ( X1 = cons(X2,X3) )
            & $less(X2,X0)
            & ~ $less(X2,0)
            & inRange(X0,X3) )
        | ( X1 = nil )
        | ~ inRange(X0,X1) )
      & ( inRange(X0,X1)
        | ( ! [X2: $int,X3: list] :
              ( ( cons(X2,X3) != X1 )
              | ~ $less(X2,X0)
              | $less(X2,0)
              | ~ inRange(X0,X3) )
          & ( nil != X1 ) ) ) ),
    inference(flattening,[],[f13]) ).

tff(f15,plain,
    ! [X0: $int,X1: list] :
      ( ( ? [X2: $int,X3: list] :
            ( ( X1 = cons(X2,X3) )
            & $less(X2,X0)
            & ~ $less(X2,0)
            & inRange(X0,X3) )
        | ( X1 = nil )
        | ~ inRange(X0,X1) )
      & ( inRange(X0,X1)
        | ( ! [X4: $int,X5: list] :
              ( ( cons(X4,X5) != X1 )
              | ~ $less(X4,X0)
              | $less(X4,0)
              | ~ inRange(X0,X5) )
          & ( nil != X1 ) ) ) ),
    inference(rectify,[],[f14]) ).

tff(f16,plain,
    ! [X0: $int,X1: list] :
      ( ( ( ( cons(sK0(X0,X1),sK1(X0,X1)) = X1 )
          & $less(sK0(X0,X1),X0)
          & ~ $less(sK0(X0,X1),0)
          & inRange(X0,sK1(X0,X1)) )
        | ( X1 = nil )
        | ~ inRange(X0,X1) )
      & ( inRange(X0,X1)
        | ( ! [X4: $int,X5: list] :
              ( ( cons(X4,X5) != X1 )
              | ~ $less(X4,X0)
              | $less(X4,0)
              | ~ inRange(X0,X5) )
          & ( nil != X1 ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f15]) ).

tff(f17,plain,
    inRange(4,cons(1,cons(5,cons(2,nil)))),
    inference(cnf_transformation,[],[f11]) ).

tff(f18,plain,
    ! [X0: $int,X1: list] : ( tail(cons(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f12]) ).

tff(f19,plain,
    ! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f1]) ).

tff(f23,plain,
    ! [X0: $int,X1: list] :
      ( inRange(X0,sK1(X0,X1))
      | ~ inRange(X0,X1)
      | ( nil = X1 ) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f25,plain,
    ! [X0: $int,X1: list] :
      ( ~ inRange(X0,X1)
      | $less(sK0(X0,X1),X0)
      | ( nil = X1 ) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f26,plain,
    ! [X0: $int,X1: list] :
      ( ~ inRange(X0,X1)
      | ( cons(sK0(X0,X1),sK1(X0,X1)) = X1 )
      | ( nil = X1 ) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f27,plain,
    ! [X0: list,X1: $int] : ( nil != cons(X1,X0) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f31,definition,
    ( spl2_1
  <=> inRange(4,cons(1,cons(5,cons(2,nil)))) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

tff(f33,plain,
    ( inRange(4,cons(1,cons(5,cons(2,nil))))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f31]) ).

tff(f34,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f17,f31]) ).

tff(f42,plain,
    ! [X0: $int,X1: list] :
      ( ~ inRange(X0,X1)
      | ( nil = sK1(X0,X1) )
      | $less(sK0(X0,sK1(X0,X1)),X0)
      | ( nil = X1 ) ),
    inference(resolution,[],[f25,f23]) ).

tff(f52,plain,
    ( ( nil = cons(1,cons(5,cons(2,nil))) )
    | ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))) )
    | ~ spl2_1 ),
    inference(resolution,[],[f26,f33]) ).

tff(f54,plain,
    ! [X0: $int,X1: list] :
      ( ~ inRange(X0,X1)
      | ( sK1(X0,X1) = cons(sK0(X0,sK1(X0,X1)),sK1(X0,sK1(X0,X1))) )
      | ( nil = sK1(X0,X1) )
      | ( nil = X1 ) ),
    inference(resolution,[],[f26,f23]) ).

tff(f57,plain,
    ( ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))) )
    | ~ spl2_1 ),
    inference(forward_subsumption_resolution,[],[f52,f27]) ).

tff(f59,definition,
    ( spl2_3
  <=> ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).

tff(f61,plain,
    ( ( cons(1,cons(5,cons(2,nil))) = cons(sK0(4,cons(1,cons(5,cons(2,nil)))),sK1(4,cons(1,cons(5,cons(2,nil))))) )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f59]) ).

tff(f62,plain,
    ( spl2_3
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f57,f31,f59]) ).

tff(f65,plain,
    ( ( tail(cons(1,cons(5,cons(2,nil)))) = sK1(4,cons(1,cons(5,cons(2,nil)))) )
    | ~ spl2_3 ),
    inference(superposition,[],[f18,f61]) ).

tff(f67,plain,
    ( ( cons(5,cons(2,nil)) = sK1(4,cons(1,cons(5,cons(2,nil)))) )
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f65,f18]) ).

tff(f78,definition,
    ( spl2_6
  <=> ( cons(5,cons(2,nil)) = sK1(4,cons(1,cons(5,cons(2,nil)))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

tff(f80,plain,
    ( ( cons(5,cons(2,nil)) = sK1(4,cons(1,cons(5,cons(2,nil)))) )
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f78]) ).

tff(f81,plain,
    ( spl2_6
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f67,f59,f78]) ).

tff(f105,plain,
    ( ( nil = cons(1,cons(5,cons(2,nil))) )
    | $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
    | ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
    | ~ spl2_1 ),
    inference(resolution,[],[f42,f33]) ).

tff(f110,plain,
    ( ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
    | $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
    | ~ spl2_1 ),
    inference(forward_subsumption_resolution,[],[f105,f27]) ).

tff(f111,plain,
    ( $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
    | ( nil = cons(5,cons(2,nil)) )
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f110,f80]) ).

tff(f112,plain,
    ( $less(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),4)
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(forward_subsumption_resolution,[],[f111,f27]) ).

tff(f113,plain,
    ( $less(sK0(4,cons(5,cons(2,nil))),4)
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f112,f80]) ).

tff(f115,definition,
    ( spl2_10
  <=> $less(sK0(4,cons(5,cons(2,nil))),4) ),
    introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).

tff(f118,plain,
    ( spl2_10
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f113,f78,f31,f115]) ).

tff(f159,plain,
    ( ( nil = cons(1,cons(5,cons(2,nil))) )
    | ( sK1(4,cons(1,cons(5,cons(2,nil)))) = cons(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),sK1(4,sK1(4,cons(1,cons(5,cons(2,nil)))))) )
    | ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
    | ~ spl2_1 ),
    inference(resolution,[],[f54,f33]) ).

tff(f163,plain,
    ( ( sK1(4,cons(1,cons(5,cons(2,nil)))) = cons(sK0(4,sK1(4,cons(1,cons(5,cons(2,nil))))),sK1(4,sK1(4,cons(1,cons(5,cons(2,nil)))))) )
    | ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
    | ~ spl2_1 ),
    inference(forward_subsumption_resolution,[],[f159,f27]) ).

tff(f165,plain,
    ( ( nil = sK1(4,cons(1,cons(5,cons(2,nil)))) )
    | ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) )
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f163,f80]) ).

tff(f166,plain,
    ( ( nil = cons(5,cons(2,nil)) )
    | ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) )
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f165,f80]) ).

tff(f167,plain,
    ( ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) )
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(forward_subsumption_resolution,[],[f166,f27]) ).

tff(f169,definition,
    ( spl2_17
  <=> ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).

tff(f171,plain,
    ( ( cons(5,cons(2,nil)) = cons(sK0(4,cons(5,cons(2,nil))),sK1(4,cons(5,cons(2,nil)))) )
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f169]) ).

tff(f172,plain,
    ( spl2_17
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f167,f78,f31,f169]) ).

tff(f265,plain,
    ( ( sK0(4,cons(5,cons(2,nil))) = head(cons(5,cons(2,nil))) )
    | ~ spl2_17 ),
    inference(superposition,[],[f19,f171]) ).

tff(f268,plain,
    ( ( 5 = sK0(4,cons(5,cons(2,nil))) )
    | ~ spl2_17 ),
    inference(forward_demodulation,[],[f265,f19]) ).

tff(f271,definition,
    ( spl2_30
  <=> ( 5 = sK0(4,cons(5,cons(2,nil))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).

tff(f274,plain,
    ( spl2_30
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f268,f169,f271]) ).

tff(f278,plain,
    $false,
    inference(avatar_smt_refutation,[],[f274,f172,f118,f81,f62,f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : DAT100_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n006.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Tue Sep 29 00:08:10 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  Running first-order theorem proving
% 0.08/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/1.10  % (331279)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.16/1.10  % (331284)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1453260907:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.16/1.10  % (331284)Instruction limit reached! 
% 3.16/1.10  % (331284)------------------------------
% 3.16/1.10  % (331284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331284)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331284)Termination reason: Instruction limit
% 3.16/1.10  % (331284)Termination phase: Saturation
% 3.16/1.10  % (331284)Time elapsed: 0.019 s
% 3.16/1.10  % (331284)Peak memory usage: 115 MB
% 3.16/1.10  % (331284)Instructions burned: 14 (million)
% 3.16/1.10  % (331289)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3602857372:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.16/1.10  % (331288)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3821650372:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.16/1.10  % (331290)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3921584713:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.16/1.10  % (331287)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1413875609:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.16/1.10  % (331286)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3887869706:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.16/1.10  % (331285)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=819965335:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.16/1.10  % (331288)Instruction limit reached! 
% 3.16/1.10  % (331288)------------------------------
% 3.16/1.10  % (331288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331288)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331288)Termination reason: Instruction limit
% 3.16/1.10  % (331288)Termination phase: Saturation
% 3.16/1.10  % (331288)Time elapsed: 0.004 s
% 3.16/1.10  % (331288)Peak memory usage: 88 MB
% 3.16/1.10  % (331288)Instructions burned: 5 (million)
% 3.16/1.10  % (331287)Instruction limit reached! 
% 3.16/1.10  % (331287)------------------------------
% 3.16/1.10  % (331287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331287)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331287)Termination reason: Instruction limit
% 3.16/1.10  % (331287)Termination phase: Saturation
% 3.16/1.10  % (331287)Time elapsed: 0.005 s
% 3.16/1.10  % (331287)Peak memory usage: 88 MB
% 3.16/1.10  % (331287)Instructions burned: 7 (million)
% 3.16/1.10  % (331290)Instruction limit reached! 
% 3.16/1.10  % (331290)------------------------------
% 3.16/1.10  % (331290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331290)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331290)Termination reason: Instruction limit
% 3.16/1.10  % (331290)Termination phase: Saturation
% 3.16/1.10  % (331290)Time elapsed: 0.047 s
% 3.16/1.10  % (331290)Peak memory usage: 115 MB
% 3.16/1.10  % (331290)Instructions burned: 34 (million)
% 3.16/1.10  % (331289)First to succeed.
% 3.16/1.10  % (331289)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-331279"
% 3.16/1.10  % (331292)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=360787572:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.16/1.10  % (331292)Also succeeded, but the first one will report.
% 3.16/1.10  % (331300)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=83894657:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.16/1.10  % (331299)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=328184336:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.16/1.10  % (331300)Instruction limit reached! 
% 3.16/1.10  % (331300)------------------------------
% 3.16/1.10  % (331300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331300)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331300)Termination reason: Instruction limit
% 3.16/1.10  % (331300)Termination phase: Saturation
% 3.16/1.10  % (331300)Time elapsed: 0.012 s
% 3.16/1.10  % (331300)Peak memory usage: 90 MB
% 3.16/1.10  % (331300)Instructions burned: 17 (million)
% 3.16/1.10  % (331299)Instruction limit reached! 
% 3.16/1.10  % (331299)------------------------------
% 3.16/1.10  % (331299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331299)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331299)Termination reason: Instruction limit
% 3.16/1.10  % (331299)Termination phase: Saturation
% 3.16/1.10  % (331299)Time elapsed: 0.022 s
% 3.16/1.10  % (331299)Peak memory usage: 88 MB
% 3.16/1.10  % (331299)Instructions burned: 30 (million)
% 3.16/1.10  % (331286)Instruction limit reached! 
% 3.16/1.10  % (331286)------------------------------
% 3.16/1.10  % (331286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331286)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331286)Termination reason: Instruction limit
% 3.16/1.10  % (331286)Termination phase: Saturation
% 3.16/1.10  % (331286)Time elapsed: 0.175 s
% 3.16/1.10  % (331286)Peak memory usage: 117 MB
% 3.16/1.10  % (331286)Instructions burned: 202 (million)
% 3.16/1.10  % (331301)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1269166977:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.16/1.10  % (331301)Instruction limit reached! 
% 3.16/1.10  % (331301)------------------------------
% 3.16/1.10  % (331301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331301)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331301)Termination reason: Instruction limit
% 3.16/1.10  % (331301)Termination phase: Saturation
% 3.16/1.10  % (331301)Time elapsed: 0.018 s
% 3.16/1.10  % (331301)Peak memory usage: 89 MB
% 3.16/1.10  % (331301)Instructions burned: 24 (million)
% 3.16/1.10  % (331285)Instruction limit reached! 
% 3.16/1.10  % (331285)------------------------------
% 3.16/1.10  % (331285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331285)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331285)Termination reason: Instruction limit
% 3.16/1.10  % (331285)Termination phase: Saturation
% 3.16/1.10  % (331285)Time elapsed: 0.213 s
% 3.16/1.10  % (331285)Peak memory usage: 116 MB
% 3.16/1.10  % (331285)Instructions burned: 307 (million)
% 3.16/1.10  % (331305)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=884986566:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.16/1.10  % (331305)Refutation not found, incomplete strategy
% 3.16/1.10  % (331305)------------------------------
% 3.16/1.10  % (331305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.10  % (331305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.10  % (331305)CaDiCaL version: 2.1.3
% 3.16/1.10  % (331305)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.10  % (331305)Time elapsed: 0.002 s
% 3.16/1.10  % (331305)Peak memory usage: 89 MB
% 3.16/1.10  % (331305)Instructions burned: 1 (million)
% 3.16/1.10  % (331306)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=913557375:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.16/1.10  % (331306)Also succeeded, but the first one will report.
% 3.16/1.10  % (331311)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4032756853:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.16/1.10  % (331307)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=130925497:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.16/1.10  % (331307)Instruction limit reached! 
% 3.16/1.10  % (331307)------------------------------
% 3.16/1.10  % (331307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29  % (331307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29  % (331307)CaDiCaL version: 2.1.3
% 3.81/1.29  % (331307)Termination reason: Instruction limit
% 3.81/1.29  % (331307)Termination phase: Saturation
% 3.81/1.29  % (331307)Time elapsed: 0.003 s
% 3.81/1.29  % (331307)Peak memory usage: 88 MB
% 3.81/1.29  % (331307)Instructions burned: 3 (million)
% 3.81/1.29  % (331289)Refutation found. Thanks to Tanya!
% 3.81/1.29  % SZS status Theorem for theBenchmark
% 3.81/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.29  % (331289)------------------------------
% 3.81/1.29  % (331289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.29  % (331289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.29  % (331289)CaDiCaL version: 2.1.3
% 3.81/1.29  % (331289)Termination reason: Refutation
% 3.81/1.29  % (331289)Time elapsed: 0.056 s
% 3.81/1.29  % (331289)Peak memory usage: 116 MB
% 3.81/1.29  % (331289)Instructions burned: 44 (million)
% 3.81/1.29  % (331289)------------------------------
% 3.81/1.29  % (331289)------------------------------
% 3.81/1.29  % (331279)Success in time 0.459 s
% 3.81/1.29  % Vampire exiting
%------------------------------------------------------------------------------