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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR100+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 : 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 09:43:00 AM UTC 2026

% Result   : Theorem 0.21s 2.03s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (  13 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   54 (  25   ~;  22   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% 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(f37989,axiom,
    s__subclass(s__Class31_2,s__Class31_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_8) ).

fof(f37990,axiom,
    s__subclass(s__Class31_3,s__Class31_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_9) ).

fof(f37991,axiom,
    s__instance(s__Animal31,s__Class31_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_10) ).

fof(f37992,conjecture,
    s__instance(s__Animal31,s__Class31_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(f37993,negated_conjecture,
    ~ s__instance(s__Animal31,s__Class31_1),
    inference(negated_conjecture,[status(cth)],[f37992]) ).

fof(f37994,plain,
    ~ s__instance(s__Animal31,s__Class31_1),
    inference(flattening,[],[f37993]) ).

fof(f37999,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(f38000,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,[],[f37999]) ).

fof(f38001,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f38004,plain,
    ~ s__instance(s__Animal31,s__Class31_1),
    inference(cnf_transformation,[],[f37994]) ).

fof(f38005,plain,
    s__subclass(s__Class31_3,s__Class31_1),
    inference(cnf_transformation,[],[f37990]) ).

fof(f38009,plain,
    s__instance(s__Animal31,s__Class31_2),
    inference(cnf_transformation,[],[f37991]) ).

fof(f38010,plain,
    s__subclass(s__Class31_2,s__Class31_3),
    inference(cnf_transformation,[],[f37989]) ).

fof(f38079,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,[],[f38000]) ).

fof(f38080,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f38001]) ).

fof(f38081,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f38001]) ).

fof(f38082,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,[],[f38079,f38080]) ).

fof(f38085,plain,
    ! [X2,X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X2,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f38082,f38081]) ).

fof(f38292,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__Class31_2)
      | s__instance(X0,s__Class31_3) ),
    inference(resolution,[],[f38085,f38010]) ).

fof(f38294,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__Class31_3)
      | s__instance(X0,s__Class31_1) ),
    inference(resolution,[],[f38085,f38005]) ).

fof(f38521,plain,
    s__instance(s__Animal31,s__Class31_3),
    inference(resolution,[],[f38292,f38009]) ).

fof(f38531,plain,
    s__instance(s__Animal31,s__Class31_1),
    inference(resolution,[],[f38294,f38521]) ).

fof(f38532,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f38531,f38004]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR100+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n018.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 22:52:25 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 0.21/2.03  % (3876784)Detected formulas, will run a generic FOF schedule.
% 0.21/2.03  % (3876793)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4178622749:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 0.21/2.03  % (3876793)Instruction limit reached! 
% 0.21/2.03  % (3876793)------------------------------
% 0.21/2.03  % (3876793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03  % (3876793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03  % (3876793)CaDiCaL version: 2.1.3
% 0.21/2.03  % (3876793)Termination reason: Instruction limit
% 0.21/2.03  % (3876793)Termination phase: Saturation
% 0.21/2.03  % (3876793)Time elapsed: 0.043 s
% 0.21/2.03  % (3876793)Peak memory usage: 108 MB
% 0.21/2.03  % (3876793)Instructions burned: 119 (million)
% 0.21/2.03  % (3876789)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=191570275:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 0.21/2.03  % (3876790)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=2148834956:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 0.21/2.03  % (3876791)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=984219823:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 0.21/2.03  % (3876795)dis-21_1_sil=8000:lcm=predicate:random_seed=1489403153: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)
% 0.21/2.03  % (3876792)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2942815317:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 0.21/2.03  % (3876794)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=191136979:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 0.21/2.03  % (3876794)Instruction limit reached! 
% 0.21/2.03  % (3876794)------------------------------
% 0.21/2.03  % (3876794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03  % (3876794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03  % (3876794)CaDiCaL version: 2.1.3
% 0.21/2.03  % (3876794)Termination reason: Instruction limit
% 0.21/2.03  % (3876794)Termination phase: Property scanning
% 0.21/2.03  % (3876794)Time elapsed: 0.061 s
% 0.21/2.03  % (3876794)Peak memory usage: 104 MB
% 0.21/2.03  % (3876794)Instructions burned: 141 (million)
% 0.21/2.03  % (3876792)Refutation not found, incomplete strategy
% 0.21/2.03  % (3876792)------------------------------
% 0.21/2.03  % (3876792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03  % (3876792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03  % (3876792)CaDiCaL version: 2.1.3
% 0.21/2.03  % (3876792)Termination reason: Refutation not found, incomplete strategy
% 0.21/2.03  % (3876792)Time elapsed: 0.062 s
% 0.21/2.03  % (3876792)Peak memory usage: 107 MB
% 0.21/2.03  % (3876792)Instructions burned: 97 (million)
% 0.21/2.03  % (3876795)Instruction limit reached! 
% 0.21/2.03  % (3876795)------------------------------
% 0.21/2.03  % (3876795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03  % (3876795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03  % (3876795)CaDiCaL version: 2.1.3
% 0.21/2.03  % (3876795)Termination reason: Instruction limit
% 0.21/2.03  % (3876795)Termination phase: Preprocessing 1
% 0.21/2.03  % (3876795)Time elapsed: 0.082 s
% 0.21/2.03  % (3876795)Peak memory usage: 105 MB
% 0.21/2.03  % (3876795)Instructions burned: 129 (million)
% 0.21/2.03  % (3876800)lrs+10_1_sil=8000:sp=occurrence:random_seed=1280321370:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 0.21/2.03  % (3876800)First to succeed.
% 0.21/2.03  % (3876800)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3876784"
% 0.21/2.03  % (3876804)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1012429472:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 0.21/2.03  % (3876805)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2555277639:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 0.21/2.03  % (3876792)------------------------------
% 0.21/2.03  % (3876792)------------------------------
% 0.21/2.03  % (3876804)Instruction limit reached! 
% 0.21/2.03  % (3876804)------------------------------
% 0.21/2.03  % (3876804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03  % (3876804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03  % (3876804)CaDiCaL version: 2.1.3
% 0.21/2.03  % (3876804)Termination reason: Instruction limit
% 0.21/2.03  % (3876804)Termination phase: SInE selection
% 0.21/2.03  % (3876804)Time elapsed: 0.070 s
% 0.21/2.03  % (3876804)Peak memory usage: 104 MB
% 0.21/2.03  % (3876804)Instructions burned: 157 (million)
% 0.21/2.03  % (3876805)Refutation not found, incomplete strategy
% 0.21/2.03  % (3876805)------------------------------
% 0.21/2.03  % (3876805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03  % (3876805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03  % (3876805)CaDiCaL version: 2.1.3
% 0.21/2.03  % (3876805)Termination reason: Refutation not found, incomplete strategy
% 0.21/2.03  % (3876805)Time elapsed: 0.058 s
% 0.21/2.03  % (3876805)Peak memory usage: 108 MB
% 0.21/2.03  % (3876805)Instructions burned: 85 (million)
% 0.21/2.03  % (3876800)Refutation found. Thanks to Tanya!
% 0.21/2.03  % SZS status Theorem for theBenchmark
% 0.21/2.03  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/2.03  % (3876800)------------------------------
% 0.21/2.03  % (3876800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.03  % (3876800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.03  % (3876800)CaDiCaL version: 2.1.3
% 0.21/2.03  % (3876800)Termination reason: Refutation
% 0.21/2.03  % (3876800)Time elapsed: 0.038 s
% 0.21/2.03  % (3876800)Peak memory usage: 109 MB
% 0.21/2.03  % (3876800)Instructions burned: 96 (million)
% 0.21/2.03  % (3876800)------------------------------
% 0.21/2.03  % (3876800)------------------------------
% 0.21/2.03  % (3876784)Success in time 1.168 s
% 0.21/2.03  % Vampire exiting
%------------------------------------------------------------------------------