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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC356-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 01:03:36 PM UTC 2026

% Result   : Unsatisfiable 12.08s 2.48s
% Output   : Refutation 13.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   97 (  25 unt;   8 def)
%            Number of atoms       :  265 (  32 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  331 ( 163   ~; 161   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   53 (   0 sgn  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f52,axiom,
    ! [X0,X1] : ssList(skaf43(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,axiom,
    ! [X0,X1] : ssList(skaf42(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    inference(reorient_equations,[],[f125]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f186,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f187,axiom,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),X2) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f210,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    inference(reorient_equations,[],[f210]) ).

fof(f212,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f220,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f206,f204]) ).

fof(f221,plain,
    ~ segmentP(sk4,sk3),
    inference(definition_unfolding,[],[f207,f204,f205]) ).

fof(f228,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f236,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f187]) ).

fof(f246,definition,
    sF0 = cons(sk5,nil),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f247,plain,
    cons(sk5,nil) = sF0,
    inference(reorient_equations,[],[f246]) ).

fof(f248,plain,
    ( sk3 = sF0
    | nil = sk4 ),
    inference(definition_folding,[],[f211,f247]) ).

fof(f254,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f228]) ).

fof(f265,definition,
    ( spl1_3
  <=> memberP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f267,plain,
    ( memberP(sk4,sk5)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f270,definition,
    ( spl1_4
  <=> sk3 = sF0 ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f272,plain,
    ( sk3 = sF0
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f275,definition,
    ( spl1_5
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

fof(f277,plain,
    ( nil = sk4
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f279,plain,
    ( spl1_5
    | spl1_3 ),
    inference(avatar_split_clause,[],[f212,f265,f275]) ).

fof(f280,plain,
    ( spl1_5
    | spl1_4 ),
    inference(avatar_split_clause,[],[f248,f270,f275]) ).

fof(f282,definition,
    ( spl1_6
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f284,plain,
    ( ssItem(sk5)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f286,plain,
    ( spl1_5
    | spl1_6 ),
    inference(avatar_split_clause,[],[f208,f282,f275]) ).

fof(f292,definition,
    ( spl1_8
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).

fof(f293,plain,
    ( ssList(nil)
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f328,plain,
    spl1_8,
    inference(avatar_split_clause,[],[f8,f292]) ).

fof(f330,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f202,f74]) ).

fof(f341,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f203]) ).

fof(f356,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(app(sk3,X0))
      | ~ ssList(X0) ),
    inference(superposition,[],[f236,f330]) ).

fof(f357,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f356,f85]) ).

fof(f358,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ~ ssList(sk3)
        | ~ ssList(X0) )
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f357,f293]) ).

fof(f359,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f358,f202]) ).

fof(f380,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_3 ),
    inference(resolution,[],[f182,f267]) ).

fof(f381,plain,
    ( ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_3
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f380,f284]) ).

fof(f382,plain,
    ( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_3
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f381,f203]) ).

fof(f383,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sk4,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(skaf42(sk4,sk5))
        | ~ ssList(X1)
        | ~ ssList(cons(sk5,skaf43(sk5,sk4)))
        | ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
    | ~ spl1_3
    | ~ spl1_6 ),
    inference(superposition,[],[f186,f382]) ).

fof(f386,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sk4,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(cons(sk5,skaf43(sk5,sk4)))
        | ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
    | ~ spl1_3
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f383,f53]) ).

fof(f388,definition,
    ( spl1_16
  <=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
    introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).

fof(f390,plain,
    ( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
    | spl1_16 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f396,definition,
    ( spl1_18
  <=> ! [X0,X1] :
        ( segmentP(app(sk4,X0),X1)
        | ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).

fof(f397,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
        | segmentP(app(sk4,X0),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl1_18 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f398,plain,
    ( ~ spl1_16
    | spl1_18
    | ~ spl1_3
    | ~ spl1_6 ),
    inference(avatar_split_clause,[],[f386,f282,f265,f396,f388]) ).

fof(f399,plain,
    ( ~ ssList(skaf43(sk5,sk4))
    | ~ ssItem(sk5)
    | spl1_16 ),
    inference(resolution,[],[f390,f86]) ).

fof(f400,plain,
    ( ~ ssItem(sk5)
    | spl1_16 ),
    inference(forward_subsumption_resolution,[],[f399,f52]) ).

fof(f401,plain,
    ( $false
    | ~ spl1_6
    | spl1_16 ),
    inference(forward_subsumption_resolution,[],[f400,f284]) ).

fof(f402,plain,
    ( ~ spl1_6
    | spl1_16 ),
    inference(avatar_contradiction_clause,[],[f401]) ).

fof(f424,plain,
    ( neq(nil,nil)
    | ~ spl1_5 ),
    inference(superposition,[],[f220,f277]) ).

fof(f431,plain,
    ( ~ ssList(nil)
    | ~ spl1_5 ),
    inference(resolution,[],[f424,f254]) ).

fof(f432,plain,
    ( $false
    | ~ spl1_5
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f431,f293]) ).

fof(f433,plain,
    ( ~ spl1_5
    | ~ spl1_8 ),
    inference(avatar_contradiction_clause,[],[f432]) ).

fof(f860,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(sk5,X0) = app(cons(sk5,nil),X0) )
    | ~ spl1_6 ),
    inference(resolution,[],[f284,f126]) ).

fof(f861,plain,
    ( ! [X0] :
        ( cons(sk5,X0) = app(sF0,X0)
        | ~ ssList(X0) )
    | ~ spl1_6 ),
    inference(forward_demodulation,[],[f860,f247]) ).

fof(f862,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(sk3,X0) = cons(sk5,X0) )
    | ~ spl1_4
    | ~ spl1_6 ),
    inference(forward_demodulation,[],[f861,f272]) ).

fof(f873,plain,
    ( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
    | ~ spl1_4
    | ~ spl1_6 ),
    inference(resolution,[],[f862,f52]) ).

fof(f904,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
        | segmentP(app(sk4,X1),X0)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_18 ),
    inference(superposition,[],[f397,f873]) ).

fof(f985,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sk3)
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | ~ ssList(skaf43(sk5,sk4)) )
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(resolution,[],[f904,f359]) ).

fof(f991,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sk3)
        | ~ ssList(X0)
        | ~ ssList(skaf43(sk5,sk4)) )
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f985,f202]) ).

fof(f993,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f991,f52]) ).

fof(f994,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(nil)
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(superposition,[],[f993,f341]) ).

fof(f995,plain,
    ( ~ ssList(nil)
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f994,f221]) ).

fof(f996,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f995,f293]) ).

fof(f997,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(avatar_contradiction_clause,[],[f996]) ).

cnf(s5,plain,
    ( spl1_3
    | spl1_5 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s6,plain,
    ( spl1_4
    | spl1_5 ),
    inference(sat_conversion,[],[f280]) ).

cnf(s8,plain,
    ( spl1_5
    | spl1_6 ),
    inference(sat_conversion,[],[f286]) ).

cnf(s18,plain,
    spl1_8,
    inference(sat_conversion,[],[f328]) ).

cnf(s21,plain,
    ( ~ spl1_3
    | ~ spl1_6
    | ~ spl1_16
    | spl1_18 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s22,plain,
    ( ~ spl1_6
    | spl1_16 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s26,plain,
    ( ~ spl1_5
    | ~ spl1_8 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s49,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s50,plain,
    ~ spl1_5,
    inference(rat,[],[s26,s18]) ).

cnf(s58,plain,
    spl1_6,
    inference(rat,[],[s8,s50]) ).

cnf(s59,plain,
    spl1_16,
    inference(rat,[],[s22,s58]) ).

cnf(s60,plain,
    spl1_4,
    inference(rat,[],[s6,s50]) ).

cnf(s61,plain,
    ~ spl1_18,
    inference(rat,[],[s49,s58,s18,s60]) ).

cnf(s63,plain,
    ~ spl1_3,
    inference(rat,[],[s21,s58,s59,s61]) ).

cnf(s70,plain,
    $false,
    inference(rat,[],[s5,s50,s63]) ).

fof(f998,plain,
    $false,
    inference(avatar_sat_refutation,[],[s70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC356-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n013.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 09:15:06 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 12.08/2.48  % (1043871)Input is clausal, will run a generic CNF schedule.
% 12.08/2.48  % (1043972)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=868494681:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.08/2.48  % (1043972)Instruction limit reached! 
% 12.08/2.48  % (1043972)------------------------------
% 12.08/2.48  % (1043972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1043972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1043972)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1043972)Termination reason: Instruction limit
% 12.08/2.48  % (1043972)Termination phase: Saturation
% 12.08/2.48  % (1043972)Time elapsed: 0.035 s
% 12.08/2.48  % (1043972)Peak memory usage: 89 MB
% 12.08/2.48  % (1043972)Instructions burned: 116 (million)
% 12.08/2.48  % (1043965)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=924266726:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.08/2.48  % (1043968)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2881072700:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.08/2.48  % (1043966)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3503144590:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.08/2.48  % (1043976)dis-21_1_sil=8000:lcm=predicate:random_seed=3490677855:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 12.08/2.48  % (1043974)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2591284948:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.08/2.48  % (1043971)lrs+10_1_sil=8000:sp=occurrence:random_seed=502501571:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.08/2.48  % (1043976)Instruction limit reached! 
% 12.08/2.48  % (1043976)------------------------------
% 12.08/2.48  % (1043976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1043976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1043976)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1043976)Termination reason: Instruction limit
% 12.08/2.48  % (1043976)Termination phase: Saturation
% 12.08/2.48  % (1043976)Time elapsed: 0.069 s
% 12.08/2.48  % (1043976)Peak memory usage: 89 MB
% 12.08/2.48  % (1043976)Instructions burned: 118 (million)
% 12.08/2.48  % (1043971)Instruction limit reached! 
% 12.08/2.48  % (1043971)------------------------------
% 12.08/2.48  % (1043971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1043971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1043971)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1043971)Termination reason: Instruction limit
% 12.08/2.48  % (1043971)Termination phase: Saturation
% 12.08/2.48  % (1043971)Time elapsed: 0.084 s
% 12.08/2.48  % (1043971)Peak memory usage: 89 MB
% 12.08/2.48  % (1043971)Instructions burned: 107 (million)
% 12.08/2.48  % (1044005)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2684597594:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 12.08/2.48  % (1043974)Instruction limit reached! 
% 12.08/2.48  % (1043974)------------------------------
% 12.08/2.48  % (1043974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1043974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1043974)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1043974)Termination reason: Instruction limit
% 12.08/2.48  % (1043974)Termination phase: Saturation
% 12.08/2.48  % (1043974)Time elapsed: 0.183 s
% 12.08/2.48  % (1043974)Peak memory usage: 90 MB
% 12.08/2.48  % (1043974)Instructions burned: 180 (million)
% 12.08/2.48  % (1044005)Instruction limit reached! 
% 12.08/2.48  % (1044005)------------------------------
% 12.08/2.48  % (1044005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044005)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044005)Termination reason: Instruction limit
% 12.08/2.48  % (1044005)Termination phase: Saturation
% 12.08/2.48  % (1044005)Time elapsed: 0.054 s
% 12.08/2.48  % (1044005)Peak memory usage: 89 MB
% 12.08/2.48  % (1044005)Instructions burned: 144 (million)
% 12.08/2.48  % (1044035)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3404303380:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 12.08/2.48  % (1044036)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3927269579:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.08/2.48  % (1044044)lrs+10_64_to=lpo:sil=8000:random_seed=1709703406:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 12.08/2.48  % (1044046)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4183812832:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 12.08/2.48  % (1044044)Instruction limit reached! 
% 12.08/2.48  % (1044044)------------------------------
% 12.08/2.48  % (1044044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044044)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044044)Termination reason: Instruction limit
% 12.08/2.48  % (1044044)Termination phase: Saturation
% 12.08/2.48  % (1044044)Time elapsed: 0.062 s
% 12.08/2.48  % (1044044)Peak memory usage: 90 MB
% 12.08/2.48  % (1044044)Instructions burned: 127 (million)
% 12.08/2.48  % (1044035)Instruction limit reached! 
% 12.08/2.48  % (1044035)------------------------------
% 12.08/2.48  % (1044035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044035)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044035)Termination reason: Instruction limit
% 12.08/2.48  % (1044035)Termination phase: Saturation
% 12.08/2.48  % (1044035)Time elapsed: 0.185 s
% 12.08/2.48  % (1044035)Peak memory usage: 91 MB
% 12.08/2.48  % (1044035)Instructions burned: 189 (million)
% 12.08/2.48  % (1044046)Instruction limit reached! 
% 12.08/2.48  % (1044046)------------------------------
% 12.08/2.48  % (1044046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044046)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044046)Termination reason: Instruction limit
% 12.08/2.48  % (1044046)Termination phase: Saturation
% 12.08/2.48  % (1044046)Time elapsed: 0.129 s
% 12.08/2.48  % (1044046)Peak memory usage: 89 MB
% 12.08/2.48  % (1044046)Instructions burned: 195 (million)
% 12.08/2.48  % (1044036)Instruction limit reached! 
% 12.08/2.48  % (1044036)------------------------------
% 12.08/2.48  % (1044036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044036)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044036)Termination reason: Instruction limit
% 12.08/2.48  % (1044036)Termination phase: Saturation
% 12.08/2.48  % (1044036)Time elapsed: 0.218 s
% 12.08/2.48  % (1044036)Peak memory usage: 90 MB
% 12.08/2.48  % (1044036)Instructions burned: 219 (million)
% 12.08/2.48  % (1044057)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3944438400:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 12.08/2.48  % (1044057)Instruction limit reached! 
% 12.08/2.48  % (1044057)------------------------------
% 12.08/2.48  % (1044057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044057)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044057)Termination reason: Instruction limit
% 12.08/2.48  % (1044057)Termination phase: Saturation
% 12.08/2.48  % (1044057)Time elapsed: 0.082 s
% 12.08/2.48  % (1044057)Peak memory usage: 90 MB
% 12.08/2.48  % (1044057)Instructions burned: 158 (million)
% 12.08/2.48  % (1044059)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4105733771:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 12.08/2.48  % (1044061)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3806055357:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 12.08/2.48  % (1044060)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1716939846:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 12.08/2.48  % (1044060)Instruction limit reached! 
% 12.08/2.48  % (1044060)------------------------------
% 12.08/2.48  % (1044060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044060)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044060)Termination reason: Instruction limit
% 12.08/2.48  % (1044060)Termination phase: Saturation
% 12.08/2.48  % (1044060)Time elapsed: 0.091 s
% 12.08/2.48  % (1044060)Peak memory usage: 89 MB
% 12.08/2.48  % (1044060)Instructions burned: 108 (million)
% 12.08/2.48  % (1044061)Instruction limit reached! 
% 12.08/2.48  % (1044061)------------------------------
% 12.08/2.48  % (1044061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044061)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044061)Termination reason: Instruction limit
% 12.08/2.48  % (1044061)Termination phase: Saturation
% 12.08/2.48  % (1044061)Time elapsed: 0.107 s
% 12.08/2.48  % (1044061)Peak memory usage: 90 MB
% 12.08/2.48  % (1044061)Instructions burned: 107 (million)
% 12.08/2.48  % (1044064)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2760062150:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 12.08/2.48  % (1043965)First to succeed.
% 12.08/2.48  % (1043965)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1043871"
% 12.08/2.48  % (1044073)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1868792950:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 12.08/2.48  % (1044074)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1909987327:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 12.08/2.48  % (1044064)Instruction limit reached! 
% 12.08/2.48  % (1044064)------------------------------
% 12.08/2.48  % (1044064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044064)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044064)Termination reason: Instruction limit
% 12.08/2.48  % (1044064)Termination phase: Saturation
% 12.08/2.48  % (1044064)Time elapsed: 0.250 s
% 12.08/2.48  % (1044064)Peak memory usage: 90 MB
% 12.08/2.48  % (1044064)Instructions burned: 243 (million)
% 12.08/2.48  % (1044074)Instruction limit reached! 
% 12.08/2.48  % (1044074)------------------------------
% 12.08/2.48  % (1044074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.48  % (1044074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.48  % (1044074)CaDiCaL version: 2.1.3
% 12.08/2.48  % (1044074)Termination reason: Instruction limit
% 12.08/2.48  % (1044074)Termination phase: Saturation
% 12.08/2.48  % (1044074)Time elapsed: 0.090 s
% 12.08/2.48  % (1044074)Peak memory usage: 88 MB
% 12.08/2.48  % (1044074)Instructions burned: 135 (million)
% 12.08/2.48  % (1043968)Also succeeded, but the first one will report.
% 12.08/2.48  % (1044080)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4205925717:i=499:bd=all_2985 on theBenchmark for (2985ds/499Mi)
% 12.08/2.48  % (1044081)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3669164761:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 12.08/2.48  % (1043965)Refutation found. Thanks to Tanya!
% 12.08/2.48  % SZS status Unsatisfiable for theBenchmark
% 12.08/2.49  % SZS output start Proof for theBenchmark
% See solution above
% 13.38/2.75  % (1043965)------------------------------
% 13.38/2.75  % (1043965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.75  % (1043965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.75  % (1043965)CaDiCaL version: 2.1.3
% 13.38/2.75  % (1043965)Termination reason: Refutation
% 13.38/2.75  % (1043965)Time elapsed: 1.202 s
% 13.38/2.75  % (1043965)Peak memory usage: 131 MB
% 13.38/2.75  % (1043965)Instructions burned: 1097 (million)
% 13.38/2.75  % (1043965)------------------------------
% 13.38/2.75  % (1043965)------------------------------
% 13.38/2.75  % (1043871)Success in time 1.809 s
% 13.38/2.75  % Vampire exiting
%------------------------------------------------------------------------------