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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR075+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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 09:42:39 AM UTC 2026

% Result   : Theorem 0.20s 1.90s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (  11 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   65 (  30   ~;  24   |;   7   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   37 (  33   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26) ).

fof(f27,axiom,
    ! [X0,X1,X2] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
     => ( ( s__subclass(X0,X1)
          & s__instance(X2,X0) )
       => s__instance(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27) ).

fof(f733,axiom,
    ! [X0] :
      ( s__instance(X0,s__Collection)
     => ? [X1] :
          ( s__instance(X1,s__SelfConnectedObject)
          & s__member(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_734) ).

fof(f33378,axiom,
    s__subclass(s__Organization,s__Collection),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_16630) ).

fof(f37982,axiom,
    s__instance(s__Org1_1,s__Organization),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).

fof(f37983,conjecture,
    ? [X0] : s__member(X0,s__Org1_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(f37984,negated_conjecture,
    ~ ? [X0] : s__member(X0,s__Org1_1),
    inference(negated_conjecture,[status(cth)],[f37983]) ).

fof(f37985,plain,
    ! [X0] : ~ s__member(X0,s__Org1_1),
    inference(ennf_transformation,[],[f37984]) ).

fof(f38004,plain,
    ! [X0] :
      ( ? [X1] :
          ( s__instance(X1,s__SelfConnectedObject)
          & s__member(X1,X0) )
      | ~ s__instance(X0,s__Collection) ),
    inference(ennf_transformation,[],[f733]) ).

fof(f38044,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f38045,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f38044]) ).

fof(f38046,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f38048,plain,
    ! [X0] :
      ( ( s__instance(sK1(X0),s__SelfConnectedObject)
        & s__member(sK1(X0),X0) )
      | ~ s__instance(X0,s__Collection) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f38004]) ).

fof(f38052,plain,
    ! [X0] : ~ s__member(X0,s__Org1_1),
    inference(cnf_transformation,[],[f37985]) ).

fof(f38063,plain,
    ! [X0] :
      ( s__member(sK1(X0),X0)
      | ~ s__instance(X0,s__Collection) ),
    inference(cnf_transformation,[],[f38048]) ).

fof(f38066,plain,
    s__instance(s__Org1_1,s__Organization),
    inference(cnf_transformation,[],[f37982]) ).

fof(f38073,plain,
    s__subclass(s__Organization,s__Collection),
    inference(cnf_transformation,[],[f33378]) ).

fof(f38127,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f38045]) ).

fof(f38128,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f38046]) ).

fof(f38129,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f38046]) ).

fof(f38146,plain,
    ~ s__instance(s__Org1_1,s__Collection),
    inference(resolution,[],[f38063,f38052]) ).

fof(f38196,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[],[f38127,f38128]) ).

fof(f38197,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f38196,f38129]) ).

fof(f38198,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Collection)
      | ~ s__instance(s__Org1_1,X0) ),
    inference(resolution,[],[f38197,f38146]) ).

fof(f38200,plain,
    ~ s__instance(s__Org1_1,s__Organization),
    inference(resolution,[],[f38198,f38073]) ).

fof(f38202,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f38200,f38066]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR075+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n014.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 22:26:14 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  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
% 0.20/1.90  % (2257111)Detected formulas, will run a generic FOF schedule.
% 0.20/1.90  % (2257120)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=240522034:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 0.20/1.90  % (2257120)First to succeed.
% 0.20/1.90  % (2257120)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2257111"
% 0.20/1.90  % (2257119)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1413817399:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 0.20/1.90  % (2257117)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=3095186059:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 0.20/1.90  % (2257118)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=850321103:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 0.20/1.90  % (2257116)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=1047904571:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 0.20/1.90  % (2257122)dis-21_1_sil=8000:lcm=predicate:random_seed=3118267105:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 0.20/1.90  % (2257121)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2810392692:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 0.20/1.90  % (2257121)Instruction limit reached! 
% 0.20/1.90  % (2257121)------------------------------
% 0.20/1.90  % (2257121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.90  % (2257121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.90  % (2257121)CaDiCaL version: 2.1.3
% 0.20/1.90  % (2257121)Termination reason: Instruction limit
% 0.20/1.90  % (2257121)Termination phase: Property scanning
% 0.20/1.90  % (2257121)Time elapsed: 0.060 s
% 0.20/1.90  % (2257121)Peak memory usage: 104 MB
% 0.20/1.90  % (2257121)Instructions burned: 140 (million)
% 0.20/1.90  % (2257119)Refutation not found, incomplete strategy
% 0.20/1.90  % (2257119)------------------------------
% 0.20/1.90  % (2257119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.90  % (2257119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.90  % (2257119)CaDiCaL version: 2.1.3
% 0.20/1.90  % (2257119)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.90  % (2257119)Time elapsed: 0.063 s
% 0.20/1.90  % (2257119)Peak memory usage: 108 MB
% 0.20/1.90  % (2257119)Instructions burned: 99 (million)
% 0.20/1.90  % (2257122)Instruction limit reached! 
% 0.20/1.90  % (2257122)------------------------------
% 0.20/1.90  % (2257122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.90  % (2257122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.90  % (2257122)CaDiCaL version: 2.1.3
% 0.20/1.90  % (2257122)Termination reason: Instruction limit
% 0.20/1.90  % (2257122)Termination phase: Preprocessing 1
% 0.20/1.90  % (2257122)Time elapsed: 0.080 s
% 0.20/1.90  % (2257122)Peak memory usage: 105 MB
% 0.20/1.90  % (2257122)Instructions burned: 129 (million)
% 0.20/1.90  % (2257120)Refutation found. Thanks to Tanya!
% 0.20/1.90  % SZS status Theorem for theBenchmark
% 0.20/1.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.90  % (2257120)------------------------------
% 0.20/1.90  % (2257120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.90  % (2257120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.90  % (2257120)CaDiCaL version: 2.1.3
% 0.20/1.90  % (2257120)Termination reason: Refutation
% 0.20/1.90  % (2257120)Time elapsed: 0.041 s
% 0.20/1.90  % (2257120)Peak memory usage: 109 MB
% 0.20/1.90  % (2257120)Instructions burned: 105 (million)
% 0.20/1.90  % (2257120)------------------------------
% 0.20/1.90  % (2257120)------------------------------
% 0.20/1.90  % (2257111)Success in time 1.008 s
% 0.20/1.90  % Vampire exiting
%------------------------------------------------------------------------------