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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC462_1 : TPTP v9.3.1. Released v9.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 01:03:59 PM UTC 2026

% Result   : Theorem 5.37s 1.52s
% Output   : Refutation 6.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   83 (  36 unt;   0 typ;   6 def)
%            Number of atoms       :  162 (  81 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  137 (  58   ~;  52   |;  11   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number arithmetic     :  486 (  41 atm; 174 fun; 212 num;  59 var)
%            Number of types       :    1 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   6 usr;   7 prp; 0-2 aty)
%            Number of functors    :   28 (  14 usr;  14 con; 0-2 aty)
%            Number of variables   :   59 (  56   !;   3   ?;  59   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    u1: ( $int * $int ) > $int ).

tff(func_def_1,type,
    u0: ( $int * $int ) > $int ).

tff(func_def_2,type,
    v1: $int ).

tff(func_def_3,type,
    v0: $int ).

tff(func_def_4,type,
    h1: $int ).

tff(func_def_5,type,
    f0: ( $int * $int ) > $int ).

tff(func_def_6,type,
    h0: $int ).

tff(func_def_7,type,
    g1: $int ).

tff(func_def_8,type,
    fast: $int > $int ).

tff(func_def_9,type,
    g0: $int ).

tff(func_def_10,type,
    small: $int > $int ).

tff(func_def_11,type,
    f1: $int > $int ).

tff(func_def_19,type,
    sK0: $int ).

tff(func_def_23,type,
    '$inst2': $int ).

tff(func_def_24,type,
    4: $int > $int ).

tff(func_def_25,type,
    2: $int > $int ).

tff(func_def_26,type,
    392: $int > $int ).

tff(func_def_28,type,
    32: $int > $int ).

tff(f1,axiom,
    ! [X0: $int,X1: $int] : ( f0(X0,X1) = $product($sum(2,X0),$sum(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).

tff(f2,axiom,
    g0 = 2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2) ).

tff(f3,axiom,
    h0 = 2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).

tff(f4,axiom,
    ! [X1: $int,X0: $int] :
      ( ( ~ $lesseq(X0,0)
       => ( u0(X0,X1) = f0(u0($difference(X0,1),X1),X0) ) )
      & ( $lesseq(X0,0)
       => ( u0(X0,X1) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4) ).

tff(f5,axiom,
    v0 = u0(g0,h0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5) ).

tff(f6,axiom,
    ! [X0: $int] : ( small(X0) = $sum(1,$product(2,$product(v0,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6) ).

tff(f7,axiom,
    ! [X0: $int] : ( f1(X0) = $product(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7) ).

tff(f8,axiom,
    g1 = 1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8) ).

tff(f9,axiom,
    h1 = $sum(2,$product(2,$sum(2,$sum(2,2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_9) ).

tff(f10,axiom,
    ! [X0: $int,X1: $int] :
      ( ( $lesseq(X0,0)
       => ( u1(X0,X1) = X1 ) )
      & ( ~ $lesseq(X0,0)
       => ( u1(X0,X1) = f1(u1($difference(X0,1),X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_10) ).

tff(f11,axiom,
    v1 = u1(g1,h1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11) ).

tff(f12,axiom,
    ! [X0: $int] : ( fast(X0) = $sum(1,$product(2,$product(v1,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_12) ).

tff(f13,conjecture,
    ~ ? [X0: $int] :
        ( ( small(X0) != fast(X0) )
        & $greatereq(X0,0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).

tff(f14,negated_conjecture,
    ~ ~ ? [X0: $int] :
          ( ( small(X0) != fast(X0) )
          & $greatereq(X0,0) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

tff(f15,plain,
    ? [X0: $int] :
      ( ~ $less(X0,0)
      & ( small(X0) != fast(X0) ) ),
    inference(theory_normalization,[],[f14]) ).

tff(f16,plain,
    ! [X1: $int,X0: $int] :
      ( ( $less(0,X0)
       => ( u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1),X0) ) )
      & ( ~ $less(0,X0)
       => ( u0(X0,X1) = X1 ) ) ),
    inference(theory_normalization,[],[f4]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(0,X0)
       => ( u1(X0,X1) = X1 ) )
      & ( $less(0,X0)
       => ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) ) ) ),
    inference(theory_normalization,[],[f10]) ).

tff(f29,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(definition,[],[tha_commutativity]) ).

tff(f36,plain,
    ! [X0: $int,X1: $int] :
      ( ( ~ $less(0,X1)
       => ( u0(X1,X0) = X0 ) )
      & ( $less(0,X1)
       => ( f0(u0($sum(X1,$uminus(1)),X0),X1) = u0(X1,X0) ) ) ),
    inference(rectify,[],[f16]) ).

tff(f37,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( u0(X1,X0) = X0 )
        | $less(0,X1) )
      & ( ~ $less(0,X1)
        | ( f0(u0($sum(X1,$uminus(1)),X0),X1) = u0(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f36]) ).

tff(f38,plain,
    ! [X0: $int,X1: $int] :
      ( ( ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) )
        | ~ $less(0,X0) )
      & ( ( u1(X0,X1) = X1 )
        | $less(0,X0) ) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f39,plain,
    ( ~ $less(sK0,0)
    & ( small(sK0) != fast(sK0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15]) ).

tff(f40,plain,
    h1 = $sum(2,$product(2,$sum(2,$sum(2,2)))),
    inference(cnf_transformation,[],[f9]) ).

tff(f41,plain,
    1 = g1,
    inference(cnf_transformation,[],[f8]) ).

tff(f42,plain,
    ! [X0: $int,X1: $int] : ( f0(X0,X1) = $product($sum(2,X0),$sum(X0,X1)) ),
    inference(cnf_transformation,[],[f1]) ).

tff(f43,plain,
    ! [X0: $int] : ( fast(X0) = $sum(1,$product(2,$product(v1,X0))) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f44,plain,
    2 = h0,
    inference(cnf_transformation,[],[f3]) ).

tff(f45,plain,
    ! [X0: $int] : ( small(X0) = $sum(1,$product(2,$product(v0,X0))) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f46,plain,
    small(sK0) != fast(sK0),
    inference(cnf_transformation,[],[f39]) ).

tff(f48,plain,
    2 = g0,
    inference(cnf_transformation,[],[f2]) ).

tff(f49,plain,
    v0 = u0(g0,h0),
    inference(cnf_transformation,[],[f5]) ).

tff(f50,plain,
    ! [X0: $int] : ( f1(X0) = $product(X0,X0) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f51,plain,
    ! [X0: $int,X1: $int] :
      ( ( u1(X0,X1) = X1 )
      | $less(0,X0) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f52,plain,
    ! [X0: $int,X1: $int] :
      ( ( u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1)) )
      | ~ $less(0,X0) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f53,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(0,X1)
      | ( f0(u0($sum(X1,$uminus(1)),X0),X1) = u0(X1,X0) ) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f54,plain,
    ! [X0: $int,X1: $int] :
      ( ( u0(X1,X0) = X0 )
      | $less(0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f55,plain,
    v1 = u1(g1,h1),
    inference(cnf_transformation,[],[f11]) ).

tff(f56,plain,
    $sum(1,$product(2,$product(v0,sK0))) != $sum(1,$product(2,$product(v1,sK0))),
    inference(definition_unfolding,[],[f46,f45,f43]) ).

tff(f57,plain,
    v0 = u0(2,2),
    inference(definition_unfolding,[],[f49,f48,f44]) ).

tff(f58,plain,
    ! [X0: $int,X1: $int] :
      ( ( u1(X0,X1) = $product(u1($sum(X0,$uminus(1)),X1),u1($sum(X0,$uminus(1)),X1)) )
      | ~ $less(0,X0) ),
    inference(definition_unfolding,[],[f52,f50]) ).

tff(f59,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(0,X1)
      | ( u0(X1,X0) = $product($sum(2,u0($sum(X1,$uminus(1)),X0)),$sum(u0($sum(X1,$uminus(1)),X0),X1)) ) ),
    inference(definition_unfolding,[],[f53,f42]) ).

tff(f60,plain,
    v1 = u1(1,h1),
    inference(definition_unfolding,[],[f55,f41]) ).

tff(f62,plain,
    ! [X0: $int,X1: $int] :
      ( ( u1(X0,X1) = $product(u1($sum(-1,X0),X1),u1($sum(-1,X0),X1)) )
      | ~ $less(0,X0) ),
    inference(evaluation,[],[f58]) ).

tff(f63,plain,
    h1 = 14,
    inference(evaluation,[],[f40]) ).

tff(f64,plain,
    ! [X0: $int,X1: $int] :
      ( ( u0(X1,X0) = $product($sum(2,u0($sum(-1,X1),X0)),$sum(X1,u0($sum(-1,X1),X0))) )
      | ~ $less(0,X1) ),
    inference(evaluation,[],[f59]) ).

tff(f66,definition,
    ( spl1_1
  <=> ( v1 = u1(1,h1) ) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

tff(f68,plain,
    ( ( v1 = u1(1,h1) )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f66]) ).

tff(f69,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f60,f66]) ).

tff(f71,definition,
    ( spl1_2
  <=> ( v0 = u0(2,2) ) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

tff(f73,plain,
    ( ( v0 = u0(2,2) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f71]) ).

tff(f74,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f57,f71]) ).

tff(f76,definition,
    ( spl1_3
  <=> ( h1 = 14 ) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

tff(f78,plain,
    ( ( h1 = 14 )
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f76]) ).

tff(f79,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f63,f76]) ).

tff(f81,definition,
    ( spl1_4
  <=> ( $sum(1,$product(2,$product(v0,sK0))) = $sum(1,$product(2,$product(v1,sK0))) ) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

tff(f83,plain,
    ( ( $sum(1,$product(2,$product(v0,sK0))) != $sum(1,$product(2,$product(v1,sK0))) )
    | spl1_4 ),
    inference(avatar_component_clause,[],[f81]) ).

tff(f84,plain,
    ~ spl1_4,
    inference(avatar_split_clause,[],[f56,f81]) ).

tff(f90,plain,
    ( ( v1 = u1(1,14) )
    | ~ spl1_1
    | ~ spl1_3 ),
    inference(forward_demodulation,[],[f68,f78]) ).

tff(f92,definition,
    ( spl1_6
  <=> ( v1 = u1(1,14) ) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

tff(f94,plain,
    ( ( v1 = u1(1,14) )
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f92]) ).

tff(f95,plain,
    ( spl1_6
    | ~ spl1_1
    | ~ spl1_3 ),
    inference(avatar_split_clause,[],[f90,f76,f66,f92]) ).

tff(f108,plain,
    ! [X1: $int] :
      ( ( u1(0,X1) = X1 )
      | $less(0,0) ),
    inference(instantiation,[],[f51]) ).

tff(f109,plain,
    ! [X1: $int] : ( u1(0,X1) = X1 ),
    inference(interpreted_simplification,[],[f108]) ).

tff(f114,plain,
    ! [X1: $int] :
      ( ( $product(u1($sum(-1,1),X1),u1($sum(-1,1),X1)) = u1(1,X1) )
      | ~ $less(0,1) ),
    inference(instantiation,[],[f62]) ).

tff(f115,plain,
    ! [X1: $int] : ( $product(u1($sum(-1,1),X1),u1($sum(-1,1),X1)) = u1(1,X1) ),
    inference(interpreted_simplification,[],[f114]) ).

tff(f119,plain,
    ! [X1: $int] : ( $product(u1(0,X1),u1(0,X1)) = u1(1,X1) ),
    inference(evaluation,[],[f115]) ).

tff(f121,plain,
    ! [X1: $int] : ( $product(X1,X1) = u1(1,X1) ),
    inference(forward_demodulation,[],[f119,f109]) ).

tff(f140,plain,
    ( ( $sum(1,$product(2,$product(sK0,v0))) != $sum(1,$product(2,$product(v1,sK0))) )
    | spl1_4 ),
    inference(superposition,[],[f83,f29]) ).

tff(f145,plain,
    ( ( $sum(1,$product(2,$product(sK0,v0))) != $sum(1,$product(2,$product(u1(1,14),sK0))) )
    | spl1_4
    | ~ spl1_6 ),
    inference(forward_demodulation,[],[f140,f94]) ).

tff(f149,plain,
    ( ( $sum(1,$product(2,$product(sK0,v0))) != $sum(1,$product(2,$product($product(14,14),sK0))) )
    | spl1_4
    | ~ spl1_6 ),
    inference(forward_demodulation,[],[f145,f121]) ).

tff(f150,plain,
    ( ( $sum(1,392(sK0)) != $sum(1,2($product(v0,sK0))) )
    | spl1_4
    | ~ spl1_6 ),
    inference(evaluation,[],[f149]) ).

tff(f157,plain,
    ( ( $sum(1,392(sK0)) != $sum(1,2($product(u0(2,2),sK0))) )
    | ~ spl1_2
    | spl1_4
    | ~ spl1_6 ),
    inference(forward_demodulation,[],[f150,f73]) ).

tff(f159,definition,
    ( spl1_9
  <=> ( $sum(1,392(sK0)) = $sum(1,2($product(u0(2,2),sK0))) ) ),
    introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).

tff(f161,plain,
    ( ( $sum(1,392(sK0)) != $sum(1,2($product(u0(2,2),sK0))) )
    | spl1_9 ),
    inference(avatar_component_clause,[],[f159]) ).

tff(f164,plain,
    ( ~ spl1_9
    | ~ spl1_2
    | spl1_4
    | ~ spl1_6 ),
    inference(avatar_split_clause,[],[f157,f92,f81,f71,f159]) ).

tff(f179,plain,
    ! [X0: $int,X1: $int] :
      ( ( $product($sum(2,X0),$sum(X1,X0)) = u0(X1,X0) )
      | ~ $less(0,X1)
      | $less(0,$sum(-1,X1)) ),
    inference(superposition,[],[f64,f54]) ).

tff(f186,plain,
    ! [X0: $int,X1: $int] :
      ( ( $product($sum(2,X0),$sum(X0,X1)) = u0(X1,X0) )
      | $less(0,$sum(-1,X1))
      | ~ $less(0,X1) ),
    inference(evaluation,[],[f179]) ).

tff(f209,plain,
    ! [X0: $int,X1: $int] :
      ( ( $product($sum(2,$product($sum(2,X0),$sum(X0,$sum(-1,X1)))),$sum(X1,$product($sum(2,X0),$sum(X0,$sum(-1,X1))))) = u0(X1,X0) )
      | ~ $less(0,$sum(-1,X1))
      | $less(0,$sum(-1,$sum(-1,X1)))
      | ~ $less(0,X1) ),
    inference(superposition,[],[f64,f186]) ).

tff(f211,plain,
    ! [X0: $int,X1: $int] :
      ( ( u0(X1,X0) = $product($sum(2,$product($sum(2,X0),$sum(-1,$sum(X0,X1)))),$sum(X1,$product($sum(2,X0),$sum(-1,$sum(X0,X1))))) )
      | $less(0,$sum(-2,X1))
      | ~ $less(0,$sum(-1,X1))
      | ~ $less(0,X1) ),
    inference(evaluation,[],[f209]) ).

tff(f282,plain,
    ( ~ $less(0,2)
    | ~ $less(0,$sum(-1,2))
    | ( $sum(1,392(sK0)) != $sum(1,2($product($product($sum(2,$product($sum(2,2),$sum(-1,$sum(2,2)))),$sum(2,$product($sum(2,2),$sum(-1,$sum(2,2))))),sK0))) )
    | $less(0,$sum(-2,2))
    | spl1_9 ),
    inference(superposition,[],[f161,f211]) ).

tff(f288,plain,
    ( $false
    | spl1_9 ),
    inference(evaluation,[],[f282]) ).

tff(f289,plain,
    spl1_9,
    inference(avatar_contradiction_clause,[],[f288]) ).

tff(f295,plain,
    $false,
    inference(avatar_smt_refutation,[],[f289,f164,f95,f84,f79,f74,f69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC462_1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.16  % Computer : n011.cluster.edu
% 0.07/0.16  % Model    : x86_64 x86_64
% 0.07/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16  % Memory   : 8046.5625MB
% 0.07/0.16  % OS       : Linux 6.8.0-71-generic
% 0.07/0.16  % CPULimit : 300
% 0.07/0.16  % WCLimit  : 300
% 0.07/0.16  % DateTime : Mon Sep 28 09:39:23 UTC 2026
% 0.07/0.16  % CPUTime  : 
% 0.07/0.16  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  Running first-order theorem proving
% 0.07/0.19  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
% 3.48/1.17  % (3275275)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.48/1.17  % (3275283)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1874929003:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.48/1.17  % (3275283)Instruction limit reached! 
% 3.48/1.17  % (3275283)------------------------------
% 3.48/1.17  % (3275283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.17  % (3275283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.17  % (3275283)CaDiCaL version: 2.1.3
% 3.48/1.17  % (3275283)Termination reason: Instruction limit
% 3.48/1.17  % (3275283)Termination phase: Saturation
% 3.48/1.17  % (3275283)Time elapsed: 0.003 s
% 3.48/1.17  % (3275283)Peak memory usage: 89 MB
% 3.48/1.17  % (3275283)Instructions burned: 8 (million)
% 3.48/1.17  % (3275285)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2593890310:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.48/1.17  % (3275284)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=88510392:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.48/1.17  % (3275280)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2813294195:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.48/1.17  % (3275286)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2672691162:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.48/1.17  % (3275281)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3579923840:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.48/1.17  % (3275282)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4007983581:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.48/1.17  % (3275284)Instruction limit reached! 
% 3.48/1.17  % (3275284)------------------------------
% 3.48/1.17  % (3275284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.17  % (3275284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.17  % (3275284)CaDiCaL version: 2.1.3
% 3.48/1.17  % (3275284)Termination reason: Instruction limit
% 3.48/1.17  % (3275284)Termination phase: Saturation
% 3.48/1.17  % (3275284)Time elapsed: 0.004 s
% 3.48/1.17  % (3275284)Peak memory usage: 89 MB
% 3.48/1.17  % (3275284)Instructions burned: 5 (million)
% 3.48/1.17  % (3275280)Instruction limit reached! 
% 3.48/1.17  % (3275280)------------------------------
% 3.48/1.17  % (3275280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.17  % (3275280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.17  % (3275280)CaDiCaL version: 2.1.3
% 3.48/1.17  % (3275280)Termination reason: Instruction limit
% 3.48/1.17  % (3275280)Termination phase: Saturation
% 3.48/1.17  % (3275280)Time elapsed: 0.031 s
% 3.48/1.17  % (3275280)Peak memory usage: 116 MB
% 3.48/1.17  % (3275280)Instructions burned: 12 (million)
% 3.48/1.17  % (3275286)Instruction limit reached! 
% 3.48/1.17  % (3275286)------------------------------
% 3.48/1.17  % (3275286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.17  % (3275286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.17  % (3275286)CaDiCaL version: 2.1.3
% 3.48/1.17  % (3275286)Termination reason: Instruction limit
% 3.48/1.17  % (3275286)Termination phase: Saturation
% 3.48/1.17  % (3275286)Time elapsed: 0.047 s
% 3.48/1.17  % (3275286)Peak memory usage: 118 MB
% 3.48/1.17  % (3275286)Instructions burned: 33 (million)
% 3.48/1.17  % (3275281)Refutation not found, incomplete strategy
% 3.48/1.17  % (3275281)------------------------------
% 3.48/1.17  % (3275281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.17  % (3275281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.17  % (3275281)CaDiCaL version: 2.1.3
% 3.48/1.17  % (3275281)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.17  % (3275281)Time elapsed: 0.048 s
% 3.48/1.17  % (3275281)Peak memory usage: 118 MB
% 3.48/1.17  % (3275281)Instructions burned: 31 (million)
% 3.48/1.17  % (3275285)Instruction limit reached! 
% 3.48/1.17  % (3275285)------------------------------
% 3.48/1.17  % (3275285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.17  % (3275285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.43  % (3275285)CaDiCaL version: 2.1.3
% 4.46/1.43  % (3275285)Termination reason: Instruction limit
% 4.46/1.43  % (3275285)Termination phase: Saturation
% 4.46/1.43  % (3275285)Time elapsed: 0.057 s
% 4.46/1.43  % (3275285)Peak memory usage: 117 MB
% 4.46/1.43  % (3275285)Instructions burned: 48 (million)
% 4.46/1.43  % (3275288)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3125052925:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.46/1.43  % (3275288)Instruction limit reached! 
% 4.46/1.43  % (3275288)------------------------------
% 4.46/1.43  % (3275288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.43  % (3275288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.43  % (3275288)CaDiCaL version: 2.1.3
% 4.46/1.43  % (3275288)Termination reason: Instruction limit
% 4.46/1.43  % (3275288)Termination phase: Saturation
% 4.46/1.43  % (3275288)Time elapsed: 0.005 s
% 4.46/1.43  % (3275288)Peak memory usage: 88 MB
% 4.46/1.43  % (3275288)Instructions burned: 17 (million)
% 4.46/1.43  % (3275282)Instruction limit reached! 
% 4.46/1.43  % (3275282)------------------------------
% 4.46/1.43  % (3275282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.43  % (3275282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.43  % (3275282)CaDiCaL version: 2.1.3
% 4.46/1.43  % (3275282)Termination reason: Instruction limit
% 4.46/1.43  % (3275282)Termination phase: Saturation
% 4.46/1.43  % (3275282)Time elapsed: 0.137 s
% 4.46/1.43  % (3275282)Peak memory usage: 118 MB
% 4.46/1.43  % (3275282)Instructions burned: 202 (million)
% 4.46/1.43  % (3275295)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=1772367573:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.46/1.43  % (3275295)Instruction limit reached! 
% 4.46/1.43  % (3275295)------------------------------
% 4.46/1.43  % (3275295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.43  % (3275295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.43  % (3275295)CaDiCaL version: 2.1.3
% 4.46/1.43  % (3275295)Termination reason: Instruction limit
% 4.46/1.43  % (3275295)Termination phase: Saturation
% 4.46/1.43  % (3275295)Time elapsed: 0.021 s
% 4.46/1.43  % (3275295)Peak memory usage: 88 MB
% 4.46/1.43  % (3275295)Instructions burned: 29 (million)
% 4.46/1.43  % (3275296)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3508281309:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.46/1.43  % (3275300)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2094574859:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.46/1.43  % (3275297)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=990461859:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.46/1.43  % (3275298)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=4207207383:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.46/1.43  % (3275296)Instruction limit reached! 
% 4.46/1.43  % (3275296)------------------------------
% 4.46/1.43  % (3275296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.43  % (3275296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.43  % (3275296)CaDiCaL version: 2.1.3
% 4.46/1.43  % (3275296)Termination reason: Instruction limit
% 4.46/1.43  % (3275296)Termination phase: Saturation
% 4.46/1.43  % (3275296)Time elapsed: 0.011 s
% 4.46/1.43  % (3275296)Peak memory usage: 90 MB
% 4.46/1.43  % (3275296)Instructions burned: 18 (million)
% 4.46/1.43  % (3275298)Instruction limit reached! 
% 4.46/1.43  % (3275298)------------------------------
% 4.46/1.43  % (3275298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.43  % (3275298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.43  % (3275298)CaDiCaL version: 2.1.3
% 4.46/1.43  % (3275298)Termination reason: Instruction limit
% 4.46/1.43  % (3275298)Termination phase: Saturation
% 4.46/1.43  % (3275298)Time elapsed: 0.017 s
% 4.46/1.43  % (3275298)Peak memory usage: 89 MB
% 4.46/1.43  % (3275298)Instructions burned: 28 (million)
% 4.46/1.43  % (3275297)Instruction limit reached! 
% 4.46/1.43  % (3275297)------------------------------
% 4.46/1.43  % (3275297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275297)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275297)Termination reason: Instruction limit
% 5.37/1.52  % (3275297)Termination phase: Saturation
% 5.37/1.52  % (3275297)Time elapsed: 0.018 s
% 5.37/1.52  % (3275297)Peak memory usage: 89 MB
% 5.37/1.52  % (3275297)Instructions burned: 24 (million)
% 5.37/1.52  % (3275300)Instruction limit reached! 
% 5.37/1.52  % (3275300)------------------------------
% 5.37/1.52  % (3275300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275300)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275300)Termination reason: Instruction limit
% 5.37/1.52  % (3275300)Termination phase: Saturation
% 5.37/1.52  % (3275300)Time elapsed: 0.028 s
% 5.37/1.52  % (3275300)Peak memory usage: 89 MB
% 5.37/1.52  % (3275300)Instructions burned: 95 (million)
% 5.37/1.52  % (3275281)------------------------------
% 5.37/1.52  % (3275281)------------------------------
% 5.37/1.52  % (3275301)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2393362180:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.37/1.52  % (3275301)Instruction limit reached! 
% 5.37/1.52  % (3275301)------------------------------
% 5.37/1.52  % (3275301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275301)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275301)Termination reason: Instruction limit
% 5.37/1.52  % (3275301)Termination phase: Saturation
% 5.37/1.52  % (3275301)Time elapsed: 0.003 s
% 5.37/1.52  % (3275301)Peak memory usage: 89 MB
% 5.37/1.52  % (3275301)Instructions burned: 3 (million)
% 5.37/1.52  % (3275303)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3527567280:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.37/1.52  % (3275311)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=118789166:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.37/1.52  % (3275308)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3330296652:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.37/1.52  % (3275311)Instruction limit reached! 
% 5.37/1.52  % (3275311)------------------------------
% 5.37/1.52  % (3275311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275311)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275311)Termination reason: Instruction limit
% 5.37/1.52  % (3275311)Termination phase: Saturation
% 5.37/1.52  % (3275311)Time elapsed: 0.004 s
% 5.37/1.52  % (3275311)Peak memory usage: 89 MB
% 5.37/1.52  % (3275311)Instructions burned: 10 (million)
% 5.37/1.52  % (3275308)Instruction limit reached! 
% 5.37/1.52  % (3275308)------------------------------
% 5.37/1.52  % (3275308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275303)Refutation not found, incomplete strategy
% 5.37/1.52  % (3275303)------------------------------
% 5.37/1.52  % (3275303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275308)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275303)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275308)Termination reason: Instruction limit
% 5.37/1.52  % (3275308)Termination phase: Saturation
% 5.37/1.52  % (3275308)Time elapsed: 0.004 s
% 5.37/1.52  % (3275308)Peak memory usage: 89 MB
% 5.37/1.52  % (3275308)Instructions burned: 5 (million)
% 5.37/1.52  % (3275303)Termination reason: Refutation not found, incomplete strategy
% 5.37/1.52  % (3275303)Time elapsed: 0.016 s
% 5.37/1.52  % (3275303)Peak memory usage: 90 MB
% 5.37/1.52  % (3275303)Instructions burned: 20 (million)
% 5.37/1.52  % (3275309)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3847025290:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.37/1.52  % (3275310)lrs+10_1_thi=all:si=on:fd=off:random_seed=2642154101:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.37/1.52  % (3275310)Instruction limit reached! 
% 5.37/1.52  % (3275310)------------------------------
% 5.37/1.52  % (3275310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275310)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275310)Termination reason: Instruction limit
% 5.37/1.52  % (3275310)Termination phase: Saturation
% 5.37/1.52  % (3275310)Time elapsed: 0.064 s
% 5.37/1.52  % (3275310)Peak memory usage: 116 MB
% 5.37/1.52  % (3275310)Instructions burned: 54 (million)
% 5.37/1.52  % (3275309)First to succeed.
% 5.37/1.52  % (3275309)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3275275"
% 5.37/1.52  % (3275318)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2077052186:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 5.37/1.52  % (3275313)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3293225101:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.37/1.52  % (3275314)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1396562713:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.37/1.52  % (3275314)Instruction limit reached! 
% 5.37/1.52  % (3275314)------------------------------
% 5.37/1.52  % (3275314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275314)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275314)Termination reason: Instruction limit
% 5.37/1.52  % (3275314)Termination phase: Saturation
% 5.37/1.52  % (3275314)Time elapsed: 0.002 s
% 5.37/1.52  % (3275314)Peak memory usage: 89 MB
% 5.37/1.52  % (3275314)Instructions burned: 2 (million)
% 5.37/1.52  % (3275313)Instruction limit reached! 
% 5.37/1.52  % (3275313)------------------------------
% 5.37/1.52  % (3275313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275313)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275313)Termination reason: Instruction limit
% 5.37/1.52  % (3275313)Termination phase: Saturation
% 5.37/1.52  % (3275313)Time elapsed: 0.003 s
% 5.37/1.52  % (3275313)Peak memory usage: 89 MB
% 5.37/1.52  % (3275313)Instructions burned: 3 (million)
% 5.37/1.52  % (3275319)dis+10_1_si=on:random_seed=3544456456:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 5.37/1.52  % (3275319)Instruction limit reached! 
% 5.37/1.52  % (3275319)------------------------------
% 5.37/1.52  % (3275319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275319)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275319)Termination reason: Instruction limit
% 5.37/1.52  % (3275319)Termination phase: Saturation
% 5.37/1.52  % (3275319)Time elapsed: 0.008 s
% 5.37/1.52  % (3275319)Peak memory usage: 89 MB
% 5.37/1.52  % (3275319)Instructions burned: 10 (million)
% 5.37/1.52  % (3275318)Instruction limit reached! 
% 5.37/1.52  % (3275318)------------------------------
% 5.37/1.52  % (3275318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275318)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275318)Termination reason: Instruction limit
% 5.37/1.52  % (3275318)Termination phase: Saturation
% 5.37/1.52  % (3275318)Time elapsed: 0.058 s
% 5.37/1.52  % (3275318)Peak memory usage: 117 MB
% 5.37/1.52  % (3275318)Instructions burned: 128 (million)
% 5.37/1.52  % (3275322)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=96199037:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 5.37/1.52  % (3275322)Refutation not found, incomplete strategy
% 5.37/1.52  % (3275322)------------------------------
% 5.37/1.52  % (3275322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275322)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275322)Termination reason: Refutation not found, incomplete strategy
% 5.37/1.52  % (3275322)Time elapsed: 0.003 s
% 5.37/1.52  % (3275322)Peak memory usage: 89 MB
% 5.37/1.52  % (3275322)Instructions burned: 2 (million)
% 5.37/1.52  % (3275303)------------------------------
% 5.37/1.52  % (3275303)------------------------------
% 5.37/1.52  % (3275327)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2696161988:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 5.37/1.52  % (3275326)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1387770330:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2993 on theBenchmark for (2993ds/35Mi)
% 5.37/1.52  % (3275327)Instruction limit reached! 
% 5.37/1.52  % (3275327)------------------------------
% 5.37/1.52  % (3275327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275327)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275327)Termination reason: Instruction limit
% 5.37/1.52  % (3275327)Termination phase: Saturation
% 5.37/1.52  % (3275327)Time elapsed: 0.002 s
% 5.37/1.52  % (3275327)Peak memory usage: 88 MB
% 5.37/1.52  % (3275327)Instructions burned: 2 (million)
% 5.37/1.52  % (3275330)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3647844019:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 5.37/1.52  % (3275329)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1680893260:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 5.37/1.52  % (3275329)Instruction limit reached! 
% 5.37/1.52  % (3275329)------------------------------
% 5.37/1.52  % (3275329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275329)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275329)Termination reason: Instruction limit
% 5.37/1.52  % (3275329)Termination phase: Saturation
% 5.37/1.52  % (3275329)Time elapsed: 0.007 s
% 5.37/1.52  % (3275329)Peak memory usage: 89 MB
% 5.37/1.52  % (3275329)Instructions burned: 9 (million)
% 5.37/1.52  % (3275326)Instruction limit reached! 
% 5.37/1.52  % (3275326)------------------------------
% 5.37/1.52  % (3275326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.52  % (3275326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.52  % (3275326)CaDiCaL version: 2.1.3
% 5.37/1.52  % (3275326)Termination reason: Instruction limit
% 5.37/1.52  % (3275326)Termination phase: Saturation
% 5.37/1.52  % (3275326)Time elapsed: 0.025 s
% 5.37/1.52  % (3275326)Peak memory usage: 89 MB
% 5.37/1.52  % (3275326)Instructions burned: 35 (million)
% 5.37/1.52  % (3275309)Refutation found. Thanks to Tanya!
% 5.37/1.52  % SZS status Theorem for theBenchmark
% 5.37/1.52  % SZS output start Proof for theBenchmark
% See solution above
% 6.81/1.71  % (3275309)------------------------------
% 6.81/1.71  % (3275309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.81/1.71  % (3275309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.71  % (3275309)CaDiCaL version: 2.1.3
% 6.81/1.71  % (3275309)Termination reason: Refutation
% 6.81/1.71  % (3275309)Time elapsed: 0.081 s
% 6.81/1.71  % (3275309)Peak memory usage: 135 MB
% 6.81/1.71  % (3275309)Instructions burned: 44 (million)
% 6.81/1.71  % (3275309)------------------------------
% 6.81/1.71  % (3275309)------------------------------
% 6.81/1.71  % (3275275)Success in time 0.879 s
% 6.81/1.71  % Vampire exiting
%------------------------------------------------------------------------------