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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL458+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 11:52:30 AM UTC 2026

% Result   : Theorem 13.78s 3.01s
% Output   : Refutation 15.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   88 (  38 unt;   0 def)
%            Number of atoms       :  154 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  120 (  54   ~;  45   |;   2   &)
%                                         (   7 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   13 (  11 usr;  11 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  136 ( 133   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( modus_ponens
  <=> ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).

fof(f4,axiom,
    ( implies_1
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_1) ).

fof(f6,axiom,
    ( implies_3
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_3) ).

fof(f10,axiom,
    ( or_1
  <=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1) ).

fof(f11,axiom,
    ( or_2
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_2) ).

fof(f12,axiom,
    ( or_3
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_3) ).

fof(f26,axiom,
    ( r5
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r5) ).

fof(f27,axiom,
    ( op_or
   => ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or) ).

fof(f29,axiom,
    ( op_implies_and
   => ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and) ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_or) ).

fof(f32,axiom,
    op_or,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_or) ).

fof(f33,axiom,
    op_implies_and,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_ponens) ).

fof(f37,axiom,
    implies_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_1) ).

fof(f39,axiom,
    implies_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_3) ).

fof(f43,axiom,
    or_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_1) ).

fof(f44,axiom,
    or_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_2) ).

fof(f45,axiom,
    or_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_3) ).

fof(f50,axiom,
    op_implies_or,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_implies_or) ).

fof(f53,conjecture,
    r5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r5) ).

fof(f54,negated_conjecture,
    ~ r5,
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f55,plain,
    ~ r5,
    inference(flattening,[],[f54]) ).

fof(f56,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
   => r5 ),
    inference(unused_predicate_definition_removal,[],[f26]) ).

fof(f60,plain,
    ( or_3
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f61,plain,
    ( or_2
   => ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f62,plain,
    ( or_1
   => ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f66,plain,
    ( implies_3
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    inference(unused_predicate_definition_removal,[],[f6]) ).

fof(f68,plain,
    ( implies_1
   => ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f71,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f72,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f71]) ).

fof(f73,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(flattening,[],[f72]) ).

fof(f76,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
    | ~ implies_1 ),
    inference(ennf_transformation,[],[f68]) ).

fof(f78,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
    | ~ implies_3 ),
    inference(ennf_transformation,[],[f66]) ).

fof(f82,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
    | ~ or_1 ),
    inference(ennf_transformation,[],[f62]) ).

fof(f83,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ or_2 ),
    inference(ennf_transformation,[],[f61]) ).

fof(f84,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
    | ~ or_3 ),
    inference(ennf_transformation,[],[f60]) ).

fof(f88,plain,
    ( r5
    | ? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f89,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ op_or ),
    inference(ennf_transformation,[],[f27]) ).

fof(f91,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f29]) ).

fof(f92,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ op_implies_or ),
    inference(ennf_transformation,[],[f30]) ).

fof(f94,plain,
    ( r5
    | ~ is_a_theorem(implies(implies(sK1,sK2),implies(or(sK0,sK1),or(sK0,sK2)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f88]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f73]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X0)))
      | ~ implies_1 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
      | ~ implies_3 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,or(X0,X1)))
      | ~ or_1 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,or(X0,X1)))
      | ~ or_2 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
      | ~ or_3 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f110,plain,
    ( r5
    | ~ is_a_theorem(implies(implies(sK1,sK2),implies(or(sK0,sK1),or(sK0,sK2)))) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f89]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f91]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = or(not(X0),X1)
      | ~ op_implies_or ),
    inference(cnf_transformation,[],[f92]) ).

fof(f116,plain,
    op_or,
    inference(cnf_transformation,[],[f32]) ).

fof(f117,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f119,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f121,plain,
    implies_1,
    inference(cnf_transformation,[],[f37]) ).

fof(f123,plain,
    implies_3,
    inference(cnf_transformation,[],[f39]) ).

fof(f127,plain,
    or_1,
    inference(cnf_transformation,[],[f43]) ).

fof(f128,plain,
    or_2,
    inference(cnf_transformation,[],[f44]) ).

fof(f129,plain,
    or_3,
    inference(cnf_transformation,[],[f45]) ).

fof(f134,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f50]) ).

fof(f137,plain,
    ~ r5,
    inference(cnf_transformation,[],[f55]) ).

fof(f139,plain,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    inference(forward_subsumption_resolution,[],[f114,f134]) ).

fof(f140,plain,
    ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
    inference(forward_subsumption_resolution,[],[f113,f117]) ).

fof(f142,plain,
    ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
    inference(forward_subsumption_resolution,[],[f111,f116]) ).

fof(f143,plain,
    ~ is_a_theorem(implies(implies(sK1,sK2),implies(or(sK0,sK1),or(sK0,sK2)))),
    inference(forward_subsumption_resolution,[],[f110,f137]) ).

fof(f147,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))),
    inference(forward_subsumption_resolution,[],[f106,f129]) ).

fof(f148,plain,
    ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
    inference(forward_subsumption_resolution,[],[f105,f128]) ).

fof(f149,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
    inference(forward_subsumption_resolution,[],[f104,f127]) ).

fof(f153,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(forward_subsumption_resolution,[],[f100,f123]) ).

fof(f155,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(forward_subsumption_resolution,[],[f98,f121]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(forward_subsumption_resolution,[],[f95,f119]) ).

fof(f160,plain,
    ! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
    inference(forward_demodulation,[],[f142,f140]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X1),implies(or(X0,X2),X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f158,f147]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f158,f153]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(or(X0,X2),X1))
      | ~ is_a_theorem(implies(X2,X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f163,f158]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f164,f158]) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X2))
      | ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(not(X0),X2)) ),
    inference(superposition,[],[f167,f139]) ).

fof(f182,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(superposition,[],[f149,f139]) ).

fof(f187,plain,
    ! [X0,X1] : is_a_theorem(or(X0,implies(X0,X1))),
    inference(forward_demodulation,[],[f182,f160]) ).

fof(f190,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X2))
      | ~ is_a_theorem(or(X0,X2))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(forward_demodulation,[],[f178,f160]) ).

fof(f261,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X0,implies(or(X3,X1),X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X3,X2)) ),
    inference(resolution,[],[f174,f163]) ).

fof(f263,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X2,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f174,f155]) ).

fof(f3623,plain,
    ( ~ is_a_theorem(implies(implies(sK1,sK2),implies(sK1,or(sK0,sK2))))
    | ~ is_a_theorem(implies(sK0,or(sK0,sK2))) ),
    inference(resolution,[],[f261,f143]) ).

fof(f3644,plain,
    ~ is_a_theorem(implies(implies(sK1,sK2),implies(sK1,or(sK0,sK2)))),
    inference(forward_subsumption_resolution,[],[f3623,f149]) ).

fof(f3648,plain,
    ( ~ is_a_theorem(or(sK1,implies(sK1,or(sK0,sK2))))
    | ~ is_a_theorem(implies(sK2,implies(sK1,or(sK0,sK2)))) ),
    inference(resolution,[],[f3644,f190]) ).

fof(f3649,plain,
    ~ is_a_theorem(implies(sK2,implies(sK1,or(sK0,sK2)))),
    inference(forward_subsumption_resolution,[],[f3648,f187]) ).

fof(f3651,plain,
    ~ is_a_theorem(implies(sK2,or(sK0,sK2))),
    inference(resolution,[],[f3649,f263]) ).

fof(f3653,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3651,f148]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL458+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n018.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 15:47:39 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.59/2.20  % (2538478)Detected formulas, will run a generic FOF schedule.
% 9.59/2.20  % (2538488)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3771294603:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.59/2.20  % (2538483)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=2067206727:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.59/2.20  % (2538487)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1092156282:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.59/2.20  % (2538487)Refutation not found, incomplete strategy
% 9.59/2.20  % (2538487)------------------------------
% 9.59/2.20  % (2538487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.20  % (2538487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.20  % (2538487)CaDiCaL version: 2.1.3
% 9.59/2.20  % (2538487)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.20  % (2538487)Time elapsed: 0.001 s
% 9.59/2.20  % (2538487)Peak memory usage: 86 MB
% 9.59/2.20  % (2538484)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=4166846867:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.59/2.20  % (2538486)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2189517487:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.59/2.20  % (2538485)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=596082347:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.59/2.20  % (2538486)Refutation not found, incomplete strategy
% 9.59/2.20  % (2538486)------------------------------
% 9.59/2.20  % (2538486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.20  % (2538486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.20  % (2538486)CaDiCaL version: 2.1.3
% 9.59/2.20  % (2538486)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.20  % (2538486)Time elapsed: 0.001 s
% 9.59/2.20  % (2538486)Peak memory usage: 86 MB
% 9.59/2.20  % (2538489)dis-21_1_sil=8000:lcm=predicate:random_seed=366375824: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)
% 9.59/2.20  % (2538489)Refutation not found, incomplete strategy
% 9.59/2.20  % (2538489)------------------------------
% 9.59/2.20  % (2538489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.20  % (2538489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.20  % (2538489)CaDiCaL version: 2.1.3
% 9.59/2.20  % (2538489)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.20  % (2538489)Time elapsed: 0.002 s
% 9.59/2.20  % (2538489)Peak memory usage: 88 MB
% 9.59/2.20  % (2538489)Instructions burned: 2 (million)
% 9.59/2.20  % (2538488)Instruction limit reached! 
% 9.59/2.20  % (2538488)------------------------------
% 9.59/2.20  % (2538488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.20  % (2538488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.20  % (2538488)CaDiCaL version: 2.1.3
% 9.59/2.20  % (2538488)Termination reason: Instruction limit
% 9.59/2.20  % (2538488)Termination phase: Saturation
% 9.59/2.20  % (2538488)Time elapsed: 0.050 s
% 9.59/2.20  % (2538488)Peak memory usage: 91 MB
% 9.59/2.20  % (2538488)Instructions burned: 142 (million)
% 9.59/2.20  % (2538497)lrs+10_1_sil=8000:sp=occurrence:random_seed=1371790288:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.59/2.20  % (2538497)Refutation not found, incomplete strategy
% 9.59/2.20  % (2538497)------------------------------
% 9.59/2.20  % (2538497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.20  % (2538497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.20  % (2538497)CaDiCaL version: 2.1.3
% 9.59/2.20  % (2538497)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.20  % (2538497)Time elapsed: 0.0000 s
% 9.59/2.20  % (2538497)Peak memory usage: 87 MB
% 9.59/2.20  % (2538487)------------------------------
% 9.59/2.20  % (2538487)------------------------------
% 9.59/2.20  % (2538486)------------------------------
% 9.59/2.20  % (2538486)------------------------------
% 12.73/2.75  % (2538489)------------------------------
% 12.73/2.75  % (2538489)------------------------------
% 12.73/2.75  % (2538497)------------------------------
% 12.73/2.75  % (2538497)------------------------------
% 12.73/2.75  % (2538502)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3524846799:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.73/2.75  % (2538502)Refutation not found, incomplete strategy
% 12.73/2.75  % (2538502)------------------------------
% 12.73/2.75  % (2538502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.73/2.75  % (2538502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.75  % (2538502)CaDiCaL version: 2.1.3
% 12.73/2.75  % (2538502)Termination reason: Refutation not found, incomplete strategy
% 12.73/2.75  % (2538502)Time elapsed: 0.0000 s
% 12.73/2.75  % (2538502)Peak memory usage: 86 MB
% 12.73/2.75  % (2538499)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1683145133:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.73/2.75  % (2538500)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3989569214:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.73/2.75  % (2538500)Refutation not found, incomplete strategy
% 12.73/2.75  % (2538500)------------------------------
% 12.73/2.75  % (2538500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.73/2.75  % (2538500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.75  % (2538500)CaDiCaL version: 2.1.3
% 12.73/2.75  % (2538500)Termination reason: Refutation not found, incomplete strategy
% 12.73/2.75  % (2538500)Time elapsed: 0.001 s
% 12.73/2.75  % (2538500)Peak memory usage: 86 MB
% 12.73/2.75  % (2538499)Refutation not found, incomplete strategy
% 12.73/2.75  % (2538499)------------------------------
% 12.73/2.75  % (2538499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.73/2.75  % (2538499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.75  % (2538499)CaDiCaL version: 2.1.3
% 12.73/2.75  % (2538499)Termination reason: Refutation not found, incomplete strategy
% 12.73/2.75  % (2538499)Time elapsed: 0.001 s
% 12.73/2.75  % (2538499)Peak memory usage: 87 MB
% 12.73/2.75  % (2538501)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=3945453133:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.73/2.75  % (2538502)------------------------------
% 12.73/2.75  % (2538502)------------------------------
% 12.73/2.75  % (2538485)Refutation not found, incomplete strategy
% 12.73/2.75  % (2538485)------------------------------
% 12.73/2.75  % (2538485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.73/2.75  % (2538485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.75  % (2538485)CaDiCaL version: 2.1.3
% 12.73/2.75  % (2538485)Termination reason: Refutation not found, incomplete strategy
% 12.73/2.75  % (2538485)Time elapsed: 0.550 s
% 12.73/2.75  % (2538485)Peak memory usage: 126 MB
% 12.73/2.75  % (2538485)Instructions burned: 830 (million)
% 12.73/2.75  % (2538501)Instruction limit reached! 
% 12.73/2.75  % (2538501)------------------------------
% 12.73/2.75  % (2538501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.73/2.75  % (2538501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.73/2.75  % (2538501)CaDiCaL version: 2.1.3
% 12.73/2.75  % (2538501)Termination reason: Instruction limit
% 12.73/2.75  % (2538501)Termination phase: Saturation
% 12.73/2.75  % (2538501)Time elapsed: 0.153 s
% 12.73/2.75  % (2538501)Peak memory usage: 93 MB
% 12.73/2.75  % (2538501)Instructions burned: 249 (million)
% 12.73/2.75  % (2538499)------------------------------
% 12.73/2.75  % (2538499)------------------------------
% 12.73/2.75  % (2538500)------------------------------
% 12.73/2.75  % (2538500)------------------------------
% 12.73/2.75  % (2538507)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3388383364:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.73/2.75  % (2538508)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3694776401:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.73/2.75  % (2538508)Refutation not found, incomplete strategy
% 12.73/2.75  % (2538508)------------------------------
% 12.73/2.75  % (2538508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.73/2.75  % (2538508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.94  % (2538508)CaDiCaL version: 2.1.3
% 13.78/2.94  % (2538508)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.94  % (2538508)Time elapsed: 0.001 s
% 13.78/2.94  % (2538508)Peak memory usage: 88 MB
% 13.78/2.94  % (2538485)------------------------------
% 13.78/2.94  % (2538485)------------------------------
% 13.78/2.94  % (2538510)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4098904766:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 13.78/2.94  % (2538510)Refutation not found, incomplete strategy
% 13.78/2.94  % (2538510)------------------------------
% 13.78/2.94  % (2538510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/2.94  % (2538510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.94  % (2538510)CaDiCaL version: 2.1.3
% 13.78/2.94  % (2538510)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.94  % (2538510)Time elapsed: 0.001 s
% 13.78/2.94  % (2538510)Peak memory usage: 87 MB
% 13.78/2.94  % (2538509)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2657733593:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.78/2.94  % (2538513)lrs+10_1_sil=8000:sp=occurrence:random_seed=993684541:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 13.78/2.94  % (2538509)Instruction limit reached! 
% 13.78/2.94  % (2538509)------------------------------
% 13.78/2.94  % (2538509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/2.94  % (2538509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.94  % (2538509)CaDiCaL version: 2.1.3
% 13.78/2.94  % (2538509)Termination reason: Instruction limit
% 13.78/2.94  % (2538509)Termination phase: Saturation
% 13.78/2.94  % (2538509)Time elapsed: 0.072 s
% 13.78/2.94  % (2538509)Peak memory usage: 89 MB
% 13.78/2.94  % (2538509)Instructions burned: 128 (million)
% 13.78/2.94  % (2538508)------------------------------
% 13.78/2.94  % (2538508)------------------------------
% 13.78/2.94  % (2538517)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3729582424:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 13.78/2.94  % (2538517)Refutation not found, incomplete strategy
% 13.78/2.94  % (2538517)------------------------------
% 13.78/2.94  % (2538517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/2.94  % (2538517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.94  % (2538517)CaDiCaL version: 2.1.3
% 13.78/2.94  % (2538517)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.94  % (2538517)Time elapsed: 0.001 s
% 13.78/2.94  % (2538517)Peak memory usage: 88 MB
% 13.78/2.94  % (2538510)------------------------------
% 13.78/2.94  % (2538510)------------------------------
% 13.78/2.94  % (2538518)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2742101614:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.78/2.94  % (2538513)Instruction limit reached! 
% 13.78/2.94  % (2538513)------------------------------
% 13.78/2.94  % (2538513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/2.94  % (2538513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.94  % (2538513)CaDiCaL version: 2.1.3
% 13.78/2.94  % (2538513)Termination reason: Instruction limit
% 13.78/2.94  % (2538513)Termination phase: Saturation
% 13.78/2.94  % (2538513)Time elapsed: 0.302 s
% 13.78/2.94  % (2538513)Peak memory usage: 101 MB
% 13.78/2.94  % (2538513)Instructions burned: 909 (million)
% 13.78/2.94  % (2538520)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2783727718:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 13.78/2.94  % (2538520)Refutation not found, incomplete strategy
% 13.78/2.94  % (2538520)------------------------------
% 13.78/2.94  % (2538520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/2.94  % (2538520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.94  % (2538520)CaDiCaL version: 2.1.3
% 13.78/2.94  % (2538520)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.94  % (2538520)Time elapsed: 0.001 s
% 13.78/2.94  % (2538520)Peak memory usage: 89 MB
% 13.78/2.94  % (2538522)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=443553865:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 13.78/2.94  % (2538522)Refutation not found, incomplete strategy
% 13.78/3.01  % (2538522)------------------------------
% 13.78/3.01  % (2538522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.01  % (2538522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.01  % (2538522)CaDiCaL version: 2.1.3
% 13.78/3.01  % (2538522)Termination reason: Refutation not found, incomplete strategy
% 13.78/3.01  % (2538522)Time elapsed: 0.001 s
% 13.78/3.01  % (2538522)Peak memory usage: 88 MB
% 13.78/3.01  % (2538522)Instructions burned: 1 (million)
% 13.78/3.01  % (2538517)------------------------------
% 13.78/3.01  % (2538517)------------------------------
% 13.78/3.01  % (2538522)------------------------------
% 13.78/3.01  % (2538522)------------------------------
% 13.78/3.01  % (2538525)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=589722373:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 13.78/3.01  % (2538520)------------------------------
% 13.78/3.01  % (2538520)------------------------------
% 13.78/3.01  % (2538526)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1564850625:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 13.78/3.01  % (2538526)Refutation not found, incomplete strategy
% 13.78/3.01  % (2538526)------------------------------
% 13.78/3.01  % (2538526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.01  % (2538526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.01  % (2538526)CaDiCaL version: 2.1.3
% 13.78/3.01  % (2538526)Termination reason: Refutation not found, incomplete strategy
% 13.78/3.01  % (2538526)Time elapsed: 0.0000 s
% 13.78/3.01  % (2538526)Peak memory usage: 87 MB
% 13.78/3.01  % (2538528)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1708288795:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 13.78/3.01  % (2538528)Instruction limit reached! 
% 13.78/3.01  % (2538528)------------------------------
% 13.78/3.01  % (2538528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.01  % (2538528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.01  % (2538528)CaDiCaL version: 2.1.3
% 13.78/3.01  % (2538528)Termination reason: Instruction limit
% 13.78/3.01  % (2538528)Termination phase: Saturation
% 13.78/3.01  % (2538528)Time elapsed: 0.069 s
% 13.78/3.01  % (2538528)Peak memory usage: 89 MB
% 13.78/3.01  % (2538528)Instructions burned: 135 (million)
% 13.78/3.01  % (2538526)------------------------------
% 13.78/3.01  % (2538526)------------------------------
% 13.78/3.01  % (2538532)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3537435520:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 13.78/3.01  % (2538532)Refutation not found, incomplete strategy
% 13.78/3.01  % (2538532)------------------------------
% 13.78/3.01  % (2538532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.01  % (2538532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.01  % (2538532)CaDiCaL version: 2.1.3
% 13.78/3.01  % (2538532)Termination reason: Refutation not found, incomplete strategy
% 13.78/3.01  % (2538532)Time elapsed: 0.0000 s
% 13.78/3.01  % (2538532)Peak memory usage: 86 MB
% 13.78/3.01  % (2538531)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1817213101:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 13.78/3.01  % (2538531)Refutation not found, incomplete strategy
% 13.78/3.01  % (2538531)------------------------------
% 13.78/3.01  % (2538531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.01  % (2538531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.01  % (2538531)CaDiCaL version: 2.1.3
% 13.78/3.01  % (2538531)Termination reason: Refutation not found, incomplete strategy
% 13.78/3.01  % (2538531)Time elapsed: 0.001 s
% 13.78/3.01  % (2538531)Peak memory usage: 87 MB
% 13.78/3.01  % (2538507)First to succeed.
% 13.78/3.01  % (2538507)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2538478"
% 13.78/3.01  [W927 15:47:41.297353829 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297384389 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297422023 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297433896 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297458670 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297525147 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297560934 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297571997 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297596204 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297606941 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297631061 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  [W927 15:47:41.297641758 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.78/3.01  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.78/3.01  % (2538532)------------------------------
% 13.78/3.01  % (2538532)------------------------------
% 13.78/3.01  % (2538525)Refutation not found, incomplete strategy
% 13.78/3.01  % (2538525)------------------------------
% 13.78/3.01  % (2538525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.78/3.01  % (2538525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.01  % (2538525)CaDiCaL version: 2.1.3
% 13.78/3.01  % (2538525)Termination reason: Refutation not found, incomplete strategy
% 13.78/3.01  % (2538525)Time elapsed: 0.557 s
% 13.78/3.01  % (2538525)Peak memory usage: 125 MB
% 13.78/3.01  % (2538525)Instructions burned: 822 (million)
% 13.78/3.01  % (2538531)------------------------------
% 13.78/3.01  % (2538531)------------------------------
% 13.78/3.01  % (2538535)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=730171682:i=6060:aac=none:ins=25_2980 on theBenchmark for (2980ds/6060Mi)
% 13.78/3.01  % (2538507)Refutation found. Thanks to Tanya!
% 13.78/3.01  % SZS status Theorem for theBenchmark
% 13.78/3.01  % SZS output start Proof for theBenchmark
% See solution above
% 15.65/3.11  % (2538507)------------------------------
% 15.65/3.11  % (2538507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.11  % (2538507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.11  % (2538507)CaDiCaL version: 2.1.3
% 15.65/3.11  % (2538507)Termination reason: Refutation
% 15.65/3.11  % (2538507)Time elapsed: 1.079 s
% 15.65/3.11  % (2538507)Peak memory usage: 134 MB
% 15.65/3.11  % (2538507)Instructions burned: 1621 (million)
% 15.65/3.11  % (2538507)------------------------------
% 15.65/3.11  % (2538507)------------------------------
% 15.65/3.11  % (2538478)Success in time 2.149 s
% 15.65/3.11  % Vampire exiting
%------------------------------------------------------------------------------