↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU368+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 12:48:34 PM UTC 2026

% Result   : Theorem 7.01s 1.92s
% Output   : Refutation 7.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   77 (  30 unt;   7 def)
%            Number of atoms       :  143 (  58 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  120 (  54   ~;  48   |;   9   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   4 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   49 (   0 sgn  48   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ( strict_rel_str(X0)
       => X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).

fof(f98,axiom,
    ! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow_1) ).

fof(f211,axiom,
    ! [X0] :
      ( strict_rel_str(incl_POSet(X0))
      & rel_str(incl_POSet(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).

fof(f261,axiom,
    ! [X0] :
      ( rel_str(X0)
     => relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).

fof(f348,axiom,
    ! [X0] :
      ( strict_rel_str(incl_POSet(X0))
      & reflexive_relstr(incl_POSet(X0))
      & transitive_relstr(incl_POSet(X0))
      & antisymmetric_relstr(incl_POSet(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow_1) ).

fof(f360,axiom,
    ! [X0,X1] :
      ( relation_of2(X1,X0,X0)
     => ! [X2,X3] :
          ( rel_str_of(X0,X1) = rel_str_of(X2,X3)
         => ( X0 = X2
            & X1 = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).

fof(f448,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f561,conjecture,
    ! [X0] :
      ( the_carrier(incl_POSet(X0)) = X0
      & the_InternalRel(incl_POSet(X0)) = inclusion_order(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_yellow_1) ).

fof(f562,negated_conjecture,
    ~ ! [X0] :
        ( the_carrier(incl_POSet(X0)) = X0
        & the_InternalRel(incl_POSet(X0)) = inclusion_order(X0) ),
    inference(negated_conjecture,[status(cth)],[f561]) ).

fof(f792,plain,
    ! [X0] :
      ( X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0))
      | ~ strict_rel_str(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f793,plain,
    ! [X0] :
      ( X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0))
      | ~ strict_rel_str(X0)
      | ~ rel_str(X0) ),
    inference(flattening,[],[f792]) ).

fof(f1084,plain,
    ! [X0] :
      ( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f261]) ).

fof(f1190,plain,
    ! [X0,X1] :
      ( ! [X2,X3] :
          ( ( X0 = X2
            & X1 = X3 )
          | rel_str_of(X0,X1) != rel_str_of(X2,X3) )
      | ~ relation_of2(X1,X0,X0) ),
    inference(ennf_transformation,[],[f360]) ).

fof(f1435,plain,
    ? [X0] :
      ( the_carrier(incl_POSet(X0)) != X0
      | inclusion_order(X0) != the_InternalRel(incl_POSet(X0)) ),
    inference(ennf_transformation,[],[f562]) ).

fof(f2091,plain,
    ! [X0,X1,X2] :
      ( ( relation_of2_as_subset(X2,X0,X1)
        | ~ relation_of2(X2,X0,X1) )
      & ( relation_of2(X2,X0,X1)
        | ~ relation_of2_as_subset(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f448]) ).

fof(f2394,plain,
    ( sK529 != the_carrier(incl_POSet(sK529))
    | inclusion_order(sK529) != the_InternalRel(incl_POSet(sK529)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK529]),skolemize(X0,sK529)],[f1435]) ).

fof(f2473,plain,
    ! [X0] :
      ( ~ strict_rel_str(X0)
      | rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f793]) ).

fof(f2780,plain,
    ! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
    inference(cnf_transformation,[],[f98]) ).

fof(f3100,plain,
    ! [X0] : rel_str(incl_POSet(X0)),
    inference(cnf_transformation,[],[f211]) ).

fof(f3151,plain,
    ! [X0] :
      ( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f1084]) ).

fof(f3353,plain,
    ! [X0] : strict_rel_str(incl_POSet(X0)),
    inference(cnf_transformation,[],[f348]) ).

fof(f3383,plain,
    ! [X2,X3,X0,X1] :
      ( rel_str_of(X0,X1) != rel_str_of(X2,X3)
      | X1 = X3
      | ~ relation_of2(X1,X0,X0) ),
    inference(cnf_transformation,[],[f1190]) ).

fof(f3384,plain,
    ! [X2,X3,X0,X1] :
      ( rel_str_of(X0,X1) != rel_str_of(X2,X3)
      | X0 = X2
      | ~ relation_of2(X1,X0,X0) ),
    inference(cnf_transformation,[],[f1190]) ).

fof(f3594,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X2,X0,X1)
      | relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f2091]) ).

fof(f4227,plain,
    ( sK529 != the_carrier(incl_POSet(sK529))
    | inclusion_order(sK529) != the_InternalRel(incl_POSet(sK529)) ),
    inference(cnf_transformation,[],[f2394]) ).

fof(f4705,plain,
    ! [X0] : rel_str(rel_str_of(X0,inclusion_order(X0))),
    inference(definition_unfolding,[],[f3100,f2780]) ).

fof(f4783,plain,
    ! [X0] : strict_rel_str(rel_str_of(X0,inclusion_order(X0))),
    inference(definition_unfolding,[],[f3353,f2780]) ).

fof(f5153,plain,
    ( sK529 != the_carrier(rel_str_of(sK529,inclusion_order(sK529)))
    | inclusion_order(sK529) != the_InternalRel(rel_str_of(sK529,inclusion_order(sK529))) ),
    inference(definition_unfolding,[],[f4227,f2780,f2780]) ).

fof(f5529,definition,
    sF557 = inclusion_order(sK529),
    introduced(definition,[new_symbols(definition,[sF557])],[function_definition]) ).

fof(f5530,plain,
    inclusion_order(sK529) = sF557,
    inference(reorient_equations,[],[f5529]) ).

fof(f5531,definition,
    sF558 = rel_str_of(sK529,sF557),
    introduced(definition,[new_symbols(definition,[sF558])],[function_definition]) ).

fof(f5532,plain,
    rel_str_of(sK529,sF557) = sF558,
    inference(reorient_equations,[],[f5531]) ).

fof(f5533,definition,
    sF559 = the_carrier(sF558),
    introduced(definition,[new_symbols(definition,[sF559])],[function_definition]) ).

fof(f5534,plain,
    the_carrier(sF558) = sF559,
    inference(reorient_equations,[],[f5533]) ).

fof(f5535,definition,
    sF560 = the_InternalRel(sF558),
    introduced(definition,[new_symbols(definition,[sF560])],[function_definition]) ).

fof(f5536,plain,
    the_InternalRel(sF558) = sF560,
    inference(reorient_equations,[],[f5535]) ).

fof(f5537,plain,
    ( sK529 != sF559
    | sF557 != sF560 ),
    inference(definition_folding,[],[f5153,f5536,f5532,f5530,f5530,f5534,f5532,f5530]) ).

fof(f5580,definition,
    ( spl561_5
  <=> sF557 = sF560 ),
    introduced(definition,[new_symbols(definition,[spl561_5])],[avatar_definition]) ).

fof(f5584,definition,
    ( spl561_6
  <=> sK529 = sF559 ),
    introduced(definition,[new_symbols(definition,[spl561_6])],[avatar_definition]) ).

fof(f5586,plain,
    ( sK529 != sF559
    | spl561_6 ),
    inference(avatar_component_clause,[],[f5584]) ).

fof(f5587,plain,
    ( ~ spl561_5
    | ~ spl561_6 ),
    inference(avatar_split_clause,[],[f5537,f5584,f5580]) ).

fof(f5902,plain,
    ! [X0,X1] :
      ( rel_str_of(X0,X1) != sF558
      | sF557 = X1
      | ~ relation_of2(X1,X0,X0) ),
    inference(superposition,[],[f3383,f5532]) ).

fof(f5913,plain,
    ! [X0,X1] :
      ( rel_str_of(X0,X1) != sF558
      | sK529 = X0
      | ~ relation_of2(X1,X0,X0) ),
    inference(superposition,[],[f3384,f5532]) ).

fof(f5922,plain,
    ! [X0] :
      ( rel_str_of(X0,inclusion_order(X0)) = rel_str_of(the_carrier(rel_str_of(X0,inclusion_order(X0))),the_InternalRel(rel_str_of(X0,inclusion_order(X0))))
      | ~ rel_str(rel_str_of(X0,inclusion_order(X0))) ),
    inference(resolution,[],[f4783,f2473]) ).

fof(f5925,plain,
    ! [X0] : rel_str_of(X0,inclusion_order(X0)) = rel_str_of(the_carrier(rel_str_of(X0,inclusion_order(X0))),the_InternalRel(rel_str_of(X0,inclusion_order(X0)))),
    inference(forward_subsumption_resolution,[],[f5922,f4705]) ).

fof(f5926,plain,
    rel_str_of(sK529,sF557) = rel_str_of(the_carrier(rel_str_of(sK529,sF557)),the_InternalRel(rel_str_of(sK529,sF557))),
    inference(superposition,[],[f5925,f5530]) ).

fof(f5931,plain,
    sF558 = rel_str_of(the_carrier(sF558),the_InternalRel(sF558)),
    inference(forward_demodulation,[],[f5926,f5532]) ).

fof(f5932,plain,
    sF558 = rel_str_of(the_carrier(sF558),sF560),
    inference(forward_demodulation,[],[f5931,f5536]) ).

fof(f5933,plain,
    sF558 = rel_str_of(sF559,sF560),
    inference(forward_demodulation,[],[f5932,f5534]) ).

fof(f5939,definition,
    ( spl561_63
  <=> relation_of2(sF560,sF559,sF559) ),
    introduced(definition,[new_symbols(definition,[spl561_63])],[avatar_definition]) ).

fof(f5940,plain,
    ( relation_of2(sF560,sF559,sF559)
    | ~ spl561_63 ),
    inference(avatar_component_clause,[],[f5939]) ).

fof(f5941,plain,
    ( ~ relation_of2(sF560,sF559,sF559)
    | spl561_63 ),
    inference(avatar_component_clause,[],[f5939]) ).

fof(f5960,plain,
    ( sF558 != sF558
    | sF557 = sF560
    | ~ relation_of2(sF560,sF559,sF559) ),
    inference(superposition,[],[f5902,f5933]) ).

fof(f5961,plain,
    ( sF557 = sF560
    | ~ relation_of2(sF560,sF559,sF559) ),
    inference(trivial_inequality_removal,[],[f5960]) ).

fof(f5962,plain,
    rel_str(rel_str_of(sK529,sF557)),
    inference(superposition,[],[f4705,f5530]) ).

fof(f5963,plain,
    rel_str(sF558),
    inference(forward_demodulation,[],[f5962,f5532]) ).

fof(f5965,plain,
    ( relation_of2_as_subset(the_InternalRel(sF558),sF559,sF559)
    | ~ rel_str(sF558) ),
    inference(superposition,[],[f3151,f5534]) ).

fof(f5966,plain,
    relation_of2_as_subset(the_InternalRel(sF558),sF559,sF559),
    inference(forward_subsumption_resolution,[],[f5965,f5963]) ).

fof(f5968,plain,
    relation_of2_as_subset(sF560,sF559,sF559),
    inference(forward_demodulation,[],[f5966,f5536]) ).

fof(f5971,plain,
    ( sF558 != sF558
    | sK529 = sF559
    | ~ relation_of2(sF560,sF559,sF559) ),
    inference(superposition,[],[f5913,f5933]) ).

fof(f5972,plain,
    ( sK529 = sF559
    | ~ relation_of2(sF560,sF559,sF559) ),
    inference(trivial_inequality_removal,[],[f5971]) ).

fof(f5989,plain,
    relation_of2(sF560,sF559,sF559),
    inference(resolution,[],[f3594,f5968]) ).

fof(f5990,plain,
    ( $false
    | spl561_63 ),
    inference(forward_subsumption_resolution,[],[f5989,f5941]) ).

fof(f5991,plain,
    spl561_63,
    inference(avatar_contradiction_clause,[],[f5990]) ).

fof(f5992,plain,
    ( sF557 = sF560
    | ~ spl561_63 ),
    inference(forward_subsumption_resolution,[],[f5961,f5940]) ).

fof(f5993,plain,
    ( ~ relation_of2(sF560,sF559,sF559)
    | spl561_6 ),
    inference(forward_subsumption_resolution,[],[f5972,f5586]) ).

fof(f5994,plain,
    ( spl561_5
    | ~ spl561_63 ),
    inference(avatar_split_clause,[],[f5992,f5939,f5580]) ).

fof(f5995,plain,
    ( $false
    | spl561_6
    | ~ spl561_63 ),
    inference(forward_subsumption_resolution,[],[f5993,f5940]) ).

fof(f5996,plain,
    ( spl561_6
    | ~ spl561_63 ),
    inference(avatar_contradiction_clause,[],[f5995]) ).

cnf(s3,plain,
    ( ~ spl561_5
    | ~ spl561_6 ),
    inference(sat_conversion,[],[f5587]) ).

cnf(s53,plain,
    spl561_63,
    inference(sat_conversion,[],[f5991]) ).

cnf(s54,plain,
    ( spl561_5
    | ~ spl561_63 ),
    inference(sat_conversion,[],[f5994]) ).

cnf(s55,plain,
    ( spl561_6
    | ~ spl561_63 ),
    inference(sat_conversion,[],[f5996]) ).

cnf(s56,plain,
    spl561_6,
    inference(rat,[],[s55,s53]) ).

cnf(s57,plain,
    spl561_5,
    inference(rat,[],[s54,s53]) ).

cnf(s60,plain,
    $false,
    inference(rat,[],[s3,s56,s57]) ).

fof(f5997,plain,
    $false,
    inference(avatar_sat_refutation,[],[s60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU368+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  % Computer : n014.cluster.edu
% 0.11/0.40  % Model    : x86_64 x86_64
% 0.11/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40  % Memory   : 8046.5625MB
% 0.11/0.40  % OS       : Linux 6.8.0-71-generic
% 0.11/0.40  % CPULimit : 300
% 0.11/0.40  % WCLimit  : 300
% 0.11/0.40  % DateTime : Mon Sep 28 04:57:17 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44  Running first-order theorem proving
% 0.11/0.44  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
% 6.18/1.82  % (1442349)Detected formulas, will run a generic FOF schedule.
% 6.18/1.82  % (1442354)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1494489133:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.18/1.82  % (1442358)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=224055210:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.18/1.82  % (1442359)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3446238409:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.18/1.82  % (1442355)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2177047965:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.18/1.82  % (1442356)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=873586079:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.18/1.82  % (1442357)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3250427802:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.18/1.82  % (1442360)dis-21_1_sil=8000:lcm=predicate:random_seed=1050494096:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.18/1.82  % (1442357)Instruction limit reached! 
% 6.18/1.82  % (1442357)------------------------------
% 6.18/1.82  % (1442357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442357)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442357)Termination reason: Instruction limit
% 6.18/1.82  % (1442357)Termination phase: Property scanning
% 6.18/1.82  % (1442357)Time elapsed: 0.059 s
% 6.18/1.82  % (1442357)Peak memory usage: 90 MB
% 6.18/1.82  % (1442357)Instructions burned: 109 (million)
% 6.18/1.82  % (1442360)Instruction limit reached! 
% 6.18/1.82  % (1442360)------------------------------
% 6.18/1.82  % (1442360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442360)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442360)Termination reason: Instruction limit
% 6.18/1.82  % (1442360)Termination phase: Saturation
% 6.18/1.82  % (1442360)Time elapsed: 0.066 s
% 6.18/1.82  % (1442360)Peak memory usage: 92 MB
% 6.18/1.82  % (1442360)Instructions burned: 129 (million)
% 6.18/1.82  % (1442358)Instruction limit reached! 
% 6.18/1.82  % (1442358)------------------------------
% 6.18/1.82  % (1442358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442358)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442358)Termination reason: Instruction limit
% 6.18/1.82  % (1442358)Termination phase: Saturation
% 6.18/1.82  % (1442358)Time elapsed: 0.073 s
% 6.18/1.82  % (1442358)Peak memory usage: 91 MB
% 6.18/1.82  % (1442358)Instructions burned: 119 (million)
% 6.18/1.82  % (1442359)Instruction limit reached! 
% 6.18/1.82  % (1442359)------------------------------
% 6.18/1.82  % (1442359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442359)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442359)Termination reason: Instruction limit
% 6.18/1.82  % (1442359)Termination phase: Saturation
% 6.18/1.82  % (1442359)Time elapsed: 0.087 s
% 6.18/1.82  % (1442359)Peak memory usage: 92 MB
% 6.18/1.82  % (1442359)Instructions burned: 140 (million)
% 6.18/1.82  % (1442370)lrs+1011_1_sil=32000:sp=occurrence:random_seed=558648810:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.18/1.82  % (1442369)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3514087853:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.18/1.82  % (1442368)lrs+10_1_sil=8000:sp=occurrence:random_seed=2029772933:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.18/1.82  % (1442369)Refutation not found, incomplete strategy
% 6.18/1.82  % (1442369)------------------------------
% 6.18/1.82  % (1442369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442369)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442369)Termination reason: Refutation not found, incomplete strategy
% 6.18/1.82  % (1442369)Time elapsed: 0.006 s
% 6.18/1.82  % (1442369)Peak memory usage: 89 MB
% 6.18/1.82  % (1442369)Instructions burned: 10 (million)
% 6.18/1.82  % (1442371)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1688645929:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.18/1.82  % (1442368)Instruction limit reached! 
% 6.18/1.82  % (1442368)------------------------------
% 6.18/1.82  % (1442368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442368)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442368)Termination reason: Instruction limit
% 6.18/1.82  % (1442368)Termination phase: Saturation
% 6.18/1.82  % (1442368)Time elapsed: 0.178 s
% 6.18/1.82  % (1442368)Peak memory usage: 95 MB
% 6.18/1.82  % (1442368)Instructions burned: 286 (million)
% 6.18/1.82  % (1442371)Instruction limit reached! 
% 6.18/1.82  % (1442371)------------------------------
% 6.18/1.82  % (1442371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442371)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442371)Termination reason: Instruction limit
% 6.18/1.82  % (1442371)Termination phase: Saturation
% 6.18/1.82  % (1442371)Time elapsed: 0.151 s
% 6.18/1.82  % (1442371)Peak memory usage: 94 MB
% 6.18/1.82  % (1442371)Instructions burned: 248 (million)
% 6.18/1.82  % (1442370)Instruction limit reached! 
% 6.18/1.82  % (1442370)------------------------------
% 6.18/1.82  % (1442370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442370)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442370)Termination reason: Instruction limit
% 6.18/1.82  % (1442370)Termination phase: Saturation
% 6.18/1.82  % (1442370)Time elapsed: 0.216 s
% 6.18/1.82  % (1442370)Peak memory usage: 95 MB
% 6.18/1.82  % (1442370)Instructions burned: 325 (million)
% 6.18/1.82  % (1442369)------------------------------
% 6.18/1.82  % (1442369)------------------------------
% 6.18/1.82  % (1442377)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2076731376:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.18/1.82  % (1442376)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4278471864:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.18/1.82  % (1442378)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2734531332:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.18/1.82  % (1442379)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1893997730:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.18/1.82  % (1442354)First to succeed.
% 6.18/1.82  % (1442354)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1442349"
% 6.18/1.82  % (1442378)Instruction limit reached! 
% 6.18/1.82  % (1442378)------------------------------
% 6.18/1.82  % (1442378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442378)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442378)Termination reason: Instruction limit
% 6.18/1.82  % (1442378)Termination phase: Saturation
% 6.18/1.82  % (1442378)Time elapsed: 0.064 s
% 6.18/1.82  % (1442378)Peak memory usage: 92 MB
% 6.18/1.82  % (1442378)Instructions burned: 113 (million)
% 6.18/1.82  % (1442379)Instruction limit reached! 
% 6.18/1.82  % (1442379)------------------------------
% 6.18/1.82  % (1442379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.82  % (1442379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.82  % (1442379)CaDiCaL version: 2.1.3
% 6.18/1.82  % (1442379)Termination reason: Instruction limit
% 6.18/1.82  % (1442379)Termination phase: Property scanning
% 6.18/1.82  % (1442379)Time elapsed: 0.072 s
% 6.18/1.82  % (1442379)Peak memory usage: 90 MB
% 6.18/1.82  % (1442379)Instructions burned: 129 (million)
% 6.18/1.82  % (1442376)Instruction limit reached! 
% 6.18/1.82  % (1442376)------------------------------
% 6.18/1.82  % (1442376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.92  % (1442376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.92  % (1442376)CaDiCaL version: 2.1.3
% 7.01/1.92  % (1442376)Termination reason: Instruction limit
% 7.01/1.92  % (1442376)Termination phase: Saturation
% 7.01/1.92  % (1442376)Time elapsed: 0.186 s
% 7.01/1.92  % (1442376)Peak memory usage: 93 MB
% 7.01/1.92  % (1442376)Instructions burned: 294 (million)
% 7.01/1.92  % (1442354)Refutation found. Thanks to Tanya!
% 7.01/1.92  % SZS status Theorem for theBenchmark
% 7.01/1.92  % SZS output start Proof for theBenchmark
% See solution above
% 7.01/1.92  % (1442354)------------------------------
% 7.01/1.92  % (1442354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.92  % (1442354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.92  % (1442354)CaDiCaL version: 2.1.3
% 7.01/1.92  % (1442354)Termination reason: Refutation
% 7.01/1.92  % (1442354)Time elapsed: 0.642 s
% 7.01/1.92  % (1442354)Peak memory usage: 149 MB
% 7.01/1.92  % (1442354)Instructions burned: 1697 (million)
% 7.01/1.92  % (1442354)------------------------------
% 7.01/1.92  % (1442354)------------------------------
% 7.01/1.92  % (1442349)Success in time 0.943 s
% 7.01/1.92  % Vampire exiting
%------------------------------------------------------------------------------