TSTP Solution File: DAT038_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : DAT038_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n026.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 Aug 31 16:03:58 EDT 2022

% Result   : Theorem 1.43s 0.56s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   75 (  20 unt;   7 typ;   0 def)
%            Number of atoms       :  172 (  81 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  153 (  49   ~;  52   |;  36   &)
%                                         (  11 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  180 (   0 atm;  20 fun; 114 num;  46 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (   5 usr;   8 con; 0-2 aty)
%            Number of variables   :   83 (  80   !;   3   ?;  83   :)

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

tff(func_def_0,type,
    empty: collection ).

tff(func_def_1,type,
    add: ( $int * collection ) > collection ).

tff(func_def_2,type,
    remove: ( $int * collection ) > collection ).

tff(func_def_3,type,
    count: collection > $int ).

tff(func_def_12,type,
    sK0: collection ).

tff(pred_def_1,type,
    in: ( $int * collection ) > $o ).

tff(f385,plain,
    $false,
    inference(evaluation,[],[f382]) ).

tff(f382,plain,
    2 = 3,
    inference(resolution,[],[f353,f325]) ).

tff(f325,plain,
    in(3,remove(5,sK0)),
    inference(subsumption_resolution,[],[f321,f252]) ).

tff(f252,plain,
    1 = count(remove(5,sK0)),
    inference(evaluation,[],[f251]) ).

tff(f251,plain,
    $sum(2,-1) = count(remove(5,sK0)),
    inference(forward_demodulation,[],[f244,f56]) ).

tff(f56,plain,
    2 = count(sK0),
    inference(cnf_transformation,[],[f35]) ).

tff(f35,plain,
    ( ( 2 = count(sK0) )
    & in(2,sK0)
    & in(3,sK0)
    & in(5,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f34]) ).

tff(f34,plain,
    ( ? [X0: collection] :
        ( ( 2 = count(X0) )
        & in(2,X0)
        & in(3,X0)
        & in(5,X0) )
   => ( ( 2 = count(sK0) )
      & in(2,sK0)
      & in(3,sK0)
      & in(5,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f29,plain,
    ? [X0: collection] :
      ( ( 2 = count(X0) )
      & in(2,X0)
      & in(3,X0)
      & in(5,X0) ),
    inference(flattening,[],[f28]) ).

tff(f28,plain,
    ? [X0: collection] :
      ( in(5,X0)
      & in(3,X0)
      & in(2,X0)
      & ( 2 = count(X0) ) ),
    inference(ennf_transformation,[],[f14]) ).

tff(f14,negated_conjecture,
    ~ ! [X0: collection] :
        ( ( in(3,X0)
          & in(2,X0)
          & ( 2 = count(X0) ) )
       => ~ in(5,X0) ),
    inference(negated_conjecture,[],[f13]) ).

tff(f13,conjecture,
    ! [X0: collection] :
      ( ( in(3,X0)
        & in(2,X0)
        & ( 2 = count(X0) ) )
     => ~ in(5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f244,plain,
    $sum(count(sK0),-1) = count(remove(5,sK0)),
    inference(resolution,[],[f75,f53]) ).

tff(f53,plain,
    in(5,sK0),
    inference(cnf_transformation,[],[f35]) ).

tff(f75,plain,
    ! [X0: collection,X1: $int] :
      ( ~ in(X1,X0)
      | ( count(remove(X1,X0)) = $sum(count(X0),-1) ) ),
    inference(evaluation,[],[f60]) ).

tff(f60,plain,
    ! [X0: collection,X1: $int] :
      ( ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) )
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f37,plain,
    ! [X0: collection,X1: $int] :
      ( ( ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) )
        | ~ in(X1,X0) )
      & ( in(X1,X0)
        | ( count(remove(X1,X0)) != $sum(count(X0),$uminus(1)) ) ) ),
    inference(rectify,[],[f36]) ).

tff(f36,plain,
    ! [X1: collection,X0: $int] :
      ( ( ( $sum(count(X1),$uminus(1)) = count(remove(X0,X1)) )
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ( $sum(count(X1),$uminus(1)) != count(remove(X0,X1)) ) ) ),
    inference(nnf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X1: collection,X0: $int] :
      ( ( $sum(count(X1),$uminus(1)) = count(remove(X0,X1)) )
    <=> in(X0,X1) ),
    inference(rectify,[],[f16]) ).

tff(f16,plain,
    ! [X17: $int,X18: collection] :
      ( ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) )
    <=> in(X17,X18) ),
    inference(theory_normalization,[],[f10]) ).

tff(f10,axiom,
    ! [X17: $int,X18: collection] :
      ( ( count(remove(X17,X18)) = $difference(count(X18),1) )
    <=> in(X17,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

tff(f321,plain,
    ( ( 1 != count(remove(5,sK0)) )
    | in(3,remove(5,sK0)) ),
    inference(superposition,[],[f66,f280]) ).

tff(f280,plain,
    1 = count(add(3,remove(5,sK0))),
    inference(evaluation,[],[f275]) ).

tff(f275,plain,
    ( ( 3 = 5 )
    | ( 1 = count(add(3,remove(5,sK0))) ) ),
    inference(resolution,[],[f273,f54]) ).

tff(f54,plain,
    in(3,sK0),
    inference(cnf_transformation,[],[f35]) ).

tff(f273,plain,
    ! [X1: $int] :
      ( ~ in(X1,sK0)
      | ( 5 = X1 )
      | ( 1 = count(add(X1,remove(5,sK0))) ) ),
    inference(forward_demodulation,[],[f140,f252]) ).

tff(f140,plain,
    ! [X1: $int] :
      ( ~ in(X1,sK0)
      | ( count(remove(5,sK0)) = count(add(X1,remove(5,sK0))) )
      | ( 5 = X1 ) ),
    inference(resolution,[],[f135,f67]) ).

tff(f67,plain,
    ! [X0: collection,X1: $int] :
      ( ~ in(X1,X0)
      | ( count(X0) = count(add(X1,X0)) ) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f42,plain,
    ! [X0: collection,X1: $int] :
      ( ( ( count(X0) = count(add(X1,X0)) )
        | ~ in(X1,X0) )
      & ( in(X1,X0)
        | ( count(X0) != count(add(X1,X0)) ) ) ),
    inference(rectify,[],[f41]) ).

tff(f41,plain,
    ! [X1: collection,X0: $int] :
      ( ( ( count(X1) = count(add(X0,X1)) )
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ( count(X1) != count(add(X0,X1)) ) ) ),
    inference(nnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X1: collection,X0: $int] :
      ( ( count(X1) = count(add(X0,X1)) )
    <=> in(X0,X1) ),
    inference(rectify,[],[f9]) ).

tff(f9,axiom,
    ! [X15: $int,X16: collection] :
      ( ( count(add(X15,X16)) = count(X16) )
    <=> in(X15,X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

tff(f135,plain,
    ! [X0: $int] :
      ( in(X0,remove(5,sK0))
      | ( 5 = X0 )
      | ~ in(X0,sK0) ),
    inference(superposition,[],[f65,f80]) ).

tff(f80,plain,
    sK0 = add(5,remove(5,sK0)),
    inference(resolution,[],[f49,f53]) ).

tff(f49,plain,
    ! [X0: collection,X1: $int] :
      ( ~ in(X1,X0)
      | ( add(X1,remove(X1,X0)) = X0 ) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,plain,
    ! [X0: collection,X1: $int] :
      ( ( add(X1,remove(X1,X0)) = X0 )
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: collection,X1: $int] :
      ( in(X1,X0)
     => ( add(X1,remove(X1,X0)) = X0 ) ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X22: collection,X21: $int] :
      ( in(X21,X22)
     => ( add(X21,remove(X21,X22)) = X22 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

tff(f65,plain,
    ! [X2: $int,X0: collection,X1: $int] :
      ( ~ in(X1,add(X2,X0))
      | ( X1 = X2 )
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f40,plain,
    ! [X0: collection,X1: $int,X2: $int] :
      ( ( ( X1 = X2 )
        | in(X1,X0)
        | ~ in(X1,add(X2,X0)) )
      & ( in(X1,add(X2,X0))
        | ( ( X1 != X2 )
          & ~ in(X1,X0) ) ) ),
    inference(flattening,[],[f39]) ).

tff(f39,plain,
    ! [X0: collection,X1: $int,X2: $int] :
      ( ( ( X1 = X2 )
        | in(X1,X0)
        | ~ in(X1,add(X2,X0)) )
      & ( in(X1,add(X2,X0))
        | ( ( X1 != X2 )
          & ~ in(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: collection,X1: $int,X2: $int] :
      ( ( ( X1 = X2 )
        | in(X1,X0) )
    <=> in(X1,add(X2,X0)) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X6: collection,X5: $int,X7: $int] :
      ( ( ( X5 = X7 )
        | in(X5,X6) )
    <=> in(X5,add(X7,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

tff(f66,plain,
    ! [X0: collection,X1: $int] :
      ( ( count(X0) != count(add(X1,X0)) )
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f353,plain,
    ! [X1: $int] :
      ( ~ in(X1,remove(5,sK0))
      | ( 2 = X1 ) ),
    inference(subsumption_resolution,[],[f345,f46]) ).

tff(f46,plain,
    ! [X0: $int] : ~ in(X0,empty),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: $int] : ~ in(X0,empty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f345,plain,
    ! [X1: $int] :
      ( ~ in(X1,remove(5,sK0))
      | in(X1,empty)
      | ( 2 = X1 ) ),
    inference(superposition,[],[f70,f338]) ).

tff(f338,plain,
    empty = remove(2,remove(5,sK0)),
    inference(trivial_inequality_removal,[],[f336]) ).

tff(f336,plain,
    ( ( empty = remove(2,remove(5,sK0)) )
    | ( 0 != 0 ) ),
    inference(superposition,[],[f61,f317]) ).

tff(f317,plain,
    0 = count(remove(2,remove(5,sK0))),
    inference(evaluation,[],[f316]) ).

tff(f316,plain,
    count(remove(2,remove(5,sK0))) = $sum(1,-1),
    inference(forward_demodulation,[],[f313,f252]) ).

tff(f313,plain,
    count(remove(2,remove(5,sK0))) = $sum(count(remove(5,sK0)),-1),
    inference(resolution,[],[f289,f75]) ).

tff(f289,plain,
    in(2,remove(5,sK0)),
    inference(subsumption_resolution,[],[f286,f252]) ).

tff(f286,plain,
    ( in(2,remove(5,sK0))
    | ( 1 != count(remove(5,sK0)) ) ),
    inference(superposition,[],[f66,f279]) ).

tff(f279,plain,
    1 = count(add(2,remove(5,sK0))),
    inference(evaluation,[],[f276]) ).

tff(f276,plain,
    ( ( 1 = count(add(2,remove(5,sK0))) )
    | ( 2 = 5 ) ),
    inference(resolution,[],[f273,f55]) ).

tff(f55,plain,
    in(2,sK0),
    inference(cnf_transformation,[],[f35]) ).

tff(f61,plain,
    ! [X0: collection] :
      ( ( 0 != count(X0) )
      | ( empty = X0 ) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f38,plain,
    ! [X0: collection] :
      ( ( ( 0 = count(X0) )
        | ( empty != X0 ) )
      & ( ( empty = X0 )
        | ( 0 != count(X0) ) ) ),
    inference(nnf_transformation,[],[f27]) ).

tff(f27,plain,
    ! [X0: collection] :
      ( ( 0 = count(X0) )
    <=> ( empty = X0 ) ),
    inference(rectify,[],[f7]) ).

tff(f7,axiom,
    ! [X12: collection] :
      ( ( 0 = count(X12) )
    <=> ( empty = X12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

tff(f70,plain,
    ! [X2: $int,X0: collection,X1: $int] :
      ( in(X2,remove(X1,X0))
      | ~ in(X2,X0)
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f45]) ).

tff(f45,plain,
    ! [X0: collection,X1: $int,X2: $int] :
      ( ( in(X2,remove(X1,X0))
        | ( X1 = X2 )
        | ~ in(X2,X0) )
      & ( ( ( X1 != X2 )
          & in(X2,X0) )
        | ~ in(X2,remove(X1,X0)) ) ),
    inference(rectify,[],[f44]) ).

tff(f44,plain,
    ! [X1: collection,X2: $int,X0: $int] :
      ( ( in(X0,remove(X2,X1))
        | ( X0 = X2 )
        | ~ in(X0,X1) )
      & ( ( ( X0 != X2 )
          & in(X0,X1) )
        | ~ in(X0,remove(X2,X1)) ) ),
    inference(flattening,[],[f43]) ).

tff(f43,plain,
    ! [X1: collection,X2: $int,X0: $int] :
      ( ( in(X0,remove(X2,X1))
        | ( X0 = X2 )
        | ~ in(X0,X1) )
      & ( ( ( X0 != X2 )
          & in(X0,X1) )
        | ~ in(X0,remove(X2,X1)) ) ),
    inference(nnf_transformation,[],[f20]) ).

tff(f20,plain,
    ! [X1: collection,X2: $int,X0: $int] :
      ( in(X0,remove(X2,X1))
    <=> ( ( X0 != X2 )
        & in(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X8: $int,X9: collection,X10: $int] :
      ( in(X8,remove(X10,X9))
    <=> ( ( X8 != X10 )
        & in(X8,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT038=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 20:31:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (12886)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (12895)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.52  % (12908)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.52  % (12900)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52  % (12896)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (12900)Instruction limit reached!
% 0.20/0.52  % (12900)------------------------------
% 0.20/0.52  % (12900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (12905)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (12887)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53  % (12910)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53  % (12904)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53  % (12883)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53  % (12893)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53  % (12883)Refutation not found, incomplete strategy% (12883)------------------------------
% 0.20/0.53  % (12883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12883)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (12883)Memory used [KB]: 5500
% 0.20/0.53  % (12883)Time elapsed: 0.125 s
% 0.20/0.53  % (12883)Instructions burned: 3 (million)
% 0.20/0.53  % (12883)------------------------------
% 0.20/0.53  % (12883)------------------------------
% 0.20/0.53  % (12909)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53  % (12888)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.53  % (12899)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53  % (12882)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.53  % (12885)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (12885)Instruction limit reached!
% 0.20/0.54  % (12885)------------------------------
% 0.20/0.54  % (12885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12885)Termination reason: Unknown
% 0.20/0.54  % (12885)Termination phase: Preprocessing 1
% 0.20/0.54  
% 0.20/0.54  % (12885)Memory used [KB]: 895
% 0.20/0.54  % (12885)Time elapsed: 0.002 s
% 0.20/0.54  % (12885)Instructions burned: 2 (million)
% 0.20/0.54  % (12885)------------------------------
% 0.20/0.54  % (12885)------------------------------
% 0.20/0.54  % (12902)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54  % (12903)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54  % (12884)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (12888)Refutation not found, incomplete strategy% (12888)------------------------------
% 0.20/0.54  % (12888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12888)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (12888)Memory used [KB]: 5500
% 0.20/0.54  % (12888)Time elapsed: 0.100 s
% 0.20/0.54  % (12888)Instructions burned: 4 (million)
% 0.20/0.54  % (12888)------------------------------
% 0.20/0.54  % (12888)------------------------------
% 0.20/0.54  % (12893)Instruction limit reached!
% 0.20/0.54  % (12893)------------------------------
% 0.20/0.54  % (12893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12893)Termination reason: Unknown
% 0.20/0.54  % (12893)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12893)Memory used [KB]: 5500
% 0.20/0.54  % (12893)Time elapsed: 0.129 s
% 0.20/0.54  % (12893)Instructions burned: 5 (million)
% 0.20/0.54  % (12893)------------------------------
% 0.20/0.54  % (12893)------------------------------
% 0.20/0.54  % (12901)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (12907)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54  % (12892)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.54  % (12890)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.54  % (12884)Instruction limit reached!
% 0.20/0.54  % (12884)------------------------------
% 0.20/0.54  % (12884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12884)Termination reason: Unknown
% 0.20/0.54  % (12884)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12884)Memory used [KB]: 5628
% 0.20/0.54  % (12884)Time elapsed: 0.137 s
% 0.20/0.54  % (12884)Instructions burned: 8 (million)
% 0.20/0.54  % (12884)------------------------------
% 0.20/0.54  % (12884)------------------------------
% 0.20/0.54  % (12894)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (12898)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (12894)Instruction limit reached!
% 0.20/0.54  % (12894)------------------------------
% 0.20/0.54  % (12894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12894)Termination reason: Unknown
% 0.20/0.54  % (12894)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (12894)Memory used [KB]: 895
% 0.20/0.54  % (12894)Time elapsed: 0.002 s
% 0.20/0.54  % (12894)Instructions burned: 2 (million)
% 0.20/0.54  % (12894)------------------------------
% 0.20/0.54  % (12894)------------------------------
% 0.20/0.54  % (12897)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (12898)Instruction limit reached!
% 0.20/0.54  % (12898)------------------------------
% 0.20/0.54  % (12898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12898)Termination reason: Unknown
% 0.20/0.54  % (12898)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12898)Memory used [KB]: 5500
% 0.20/0.54  % (12898)Time elapsed: 0.003 s
% 0.20/0.54  % (12898)Instructions burned: 3 (million)
% 0.20/0.54  % (12898)------------------------------
% 0.20/0.54  % (12898)------------------------------
% 0.20/0.54  % (12897)Instruction limit reached!
% 0.20/0.54  % (12897)------------------------------
% 0.20/0.54  % (12897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12897)Termination reason: Unknown
% 0.20/0.54  % (12897)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12897)Memory used [KB]: 5500
% 0.20/0.54  % (12897)Time elapsed: 0.003 s
% 0.20/0.54  % (12897)Instructions burned: 3 (million)
% 0.20/0.54  % (12897)------------------------------
% 0.20/0.54  % (12897)------------------------------
% 0.20/0.54  % (12904)Refutation not found, incomplete strategy% (12904)------------------------------
% 0.20/0.54  % (12904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12900)Termination reason: Unknown
% 0.20/0.54  % (12900)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12900)Memory used [KB]: 5756
% 0.20/0.54  % (12900)Time elapsed: 0.121 s
% 0.20/0.54  % (12900)Instructions burned: 15 (million)
% 0.20/0.54  % (12900)------------------------------
% 0.20/0.54  % (12900)------------------------------
% 0.20/0.54  % (12906)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.54  % (12911)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.43/0.55  % (12887)Instruction limit reached!
% 1.43/0.55  % (12887)------------------------------
% 1.43/0.55  % (12887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (12891)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.43/0.55  % (12889)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 1.43/0.55  % (12901)Instruction limit reached!
% 1.43/0.55  % (12901)------------------------------
% 1.43/0.55  % (12901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (12901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (12901)Termination reason: Unknown
% 1.43/0.55  % (12901)Termination phase: Saturation
% 1.43/0.55  
% 1.43/0.55  % (12901)Memory used [KB]: 5500
% 1.43/0.55  % (12901)Time elapsed: 0.004 s
% 1.43/0.55  % (12901)Instructions burned: 3 (million)
% 1.43/0.55  % (12901)------------------------------
% 1.43/0.55  % (12901)------------------------------
% 1.43/0.55  % (12889)Refutation not found, incomplete strategy% (12889)------------------------------
% 1.43/0.55  % (12889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (12889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (12889)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.55  
% 1.43/0.55  % (12889)Memory used [KB]: 5500
% 1.43/0.55  % (12889)Time elapsed: 0.162 s
% 1.43/0.55  % (12889)Instructions burned: 3 (million)
% 1.43/0.55  % (12889)------------------------------
% 1.43/0.55  % (12889)------------------------------
% 1.43/0.55  % (12887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (12887)Termination reason: Unknown
% 1.43/0.55  % (12887)Termination phase: Saturation
% 1.43/0.55  
% 1.43/0.55  % (12887)Memory used [KB]: 5628
% 1.43/0.55  % (12887)Time elapsed: 0.130 s
% 1.43/0.55  % (12887)Instructions burned: 15 (million)
% 1.43/0.55  % (12887)------------------------------
% 1.43/0.55  % (12887)------------------------------
% 1.43/0.55  % (12891)Instruction limit reached!
% 1.43/0.55  % (12891)------------------------------
% 1.43/0.55  % (12891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (12891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (12891)Termination reason: Unknown
% 1.43/0.55  % (12891)Termination phase: Saturation
% 1.43/0.55  
% 1.43/0.55  % (12891)Memory used [KB]: 5500
% 1.43/0.55  % (12891)Time elapsed: 0.159 s
% 1.43/0.55  % (12891)Instructions burned: 3 (million)
% 1.43/0.55  % (12891)------------------------------
% 1.43/0.55  % (12891)------------------------------
% 1.43/0.56  % (12904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56  % (12904)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.56  
% 1.43/0.56  % (12904)Memory used [KB]: 1151
% 1.43/0.56  % (12904)Time elapsed: 0.094 s
% 1.43/0.56  % (12904)Instructions burned: 17 (million)
% 1.43/0.56  % (12904)------------------------------
% 1.43/0.56  % (12904)------------------------------
% 1.43/0.56  % (12895)First to succeed.
% 1.43/0.56  % (12902)Instruction limit reached!
% 1.43/0.56  % (12902)------------------------------
% 1.43/0.56  % (12902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56  % (12895)Refutation found. Thanks to Tanya!
% 1.43/0.56  % SZS status Theorem for theBenchmark
% 1.43/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.56  % (12895)------------------------------
% 1.43/0.56  % (12895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56  % (12895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56  % (12895)Termination reason: Refutation
% 1.43/0.56  
% 1.43/0.56  % (12895)Memory used [KB]: 5628
% 1.43/0.56  % (12895)Time elapsed: 0.148 s
% 1.43/0.56  % (12895)Instructions burned: 14 (million)
% 1.43/0.56  % (12895)------------------------------
% 1.43/0.56  % (12895)------------------------------
% 1.43/0.56  % (12881)Success in time 0.201 s
%------------------------------------------------------------------------------