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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR096+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 09:42:57 AM UTC 2026

% Result   : Theorem 2.36s 1.82s
% Output   : Refutation 4.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   48 (  16 unt;   0 def)
%            Number of atoms       :  128 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  156 (  76   ~;  66   |;   5   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',kb_SUMO_27) ).

fof(f6942,axiom,
    s__subclass(s__AstronomicalBody,s__Object),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_7014) ).

fof(f37983,axiom,
    s__subclass(s__Planet26_1,s__AstronomicalBody),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).

fof(f37984,axiom,
    ! [X0] :
      ( s__instance(X0,s__Object)
     => ( s__instance(X0,s__Planet26_1)
       => ( s__attribute(X0,s__Solid)
          | s__attribute(X0,s__Gaseous) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_3) ).

fof(f37985,axiom,
    ! [X0] :
      ( s__instance(X0,s__Object)
     => ( s__instance(X0,s__Planet26_1)
       => ( s__attribute(X0,s__Earthlike)
          | s__attribute(X0,s__HostileToEarthLife) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_4) ).

fof(f37986,axiom,
    ! [X0] :
      ( s__instance(X0,s__Object)
     => ( ( s__instance(X0,s__Planet26_1)
          & s__attribute(X0,s__Gaseous) )
       => ~ s__attribute(X0,s__Earthlike) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_5) ).

fof(f37987,axiom,
    s__instance(s__Object26_1,s__Planet26_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_6) ).

fof(f37988,axiom,
    ~ s__attribute(s__Object26_1,s__Solid),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_7) ).

fof(f37989,conjecture,
    s__attribute(s__Object26_1,s__HostileToEarthLife),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(f37990,negated_conjecture,
    ~ s__attribute(s__Object26_1,s__HostileToEarthLife),
    inference(negated_conjecture,[status(cth)],[f37989]) ).

fof(f37991,plain,
    ~ s__attribute(s__Object26_1,s__HostileToEarthLife),
    inference(flattening,[],[f37990]) ).

fof(f38002,plain,
    ! [X0] :
      ( s__attribute(X0,s__Earthlike)
      | s__attribute(X0,s__HostileToEarthLife)
      | ~ s__instance(X0,s__Planet26_1)
      | ~ s__instance(X0,s__Object) ),
    inference(ennf_transformation,[],[f37985]) ).

fof(f38003,plain,
    ! [X0] :
      ( s__attribute(X0,s__Earthlike)
      | s__attribute(X0,s__HostileToEarthLife)
      | ~ s__instance(X0,s__Planet26_1)
      | ~ s__instance(X0,s__Object) ),
    inference(flattening,[],[f38002]) ).

fof(f38027,plain,
    ! [X0] :
      ( ~ s__attribute(X0,s__Earthlike)
      | ~ s__instance(X0,s__Planet26_1)
      | ~ s__attribute(X0,s__Gaseous)
      | ~ s__instance(X0,s__Object) ),
    inference(ennf_transformation,[],[f37986]) ).

fof(f38028,plain,
    ! [X0] :
      ( ~ s__attribute(X0,s__Earthlike)
      | ~ s__instance(X0,s__Planet26_1)
      | ~ s__attribute(X0,s__Gaseous)
      | ~ s__instance(X0,s__Object) ),
    inference(flattening,[],[f38027]) ).

fof(f38032,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(f38033,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,[],[f38032]) ).

fof(f38034,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f38036,plain,
    ! [X0] :
      ( s__attribute(X0,s__Solid)
      | s__attribute(X0,s__Gaseous)
      | ~ s__instance(X0,s__Planet26_1)
      | ~ s__instance(X0,s__Object) ),
    inference(ennf_transformation,[],[f37984]) ).

fof(f38037,plain,
    ! [X0] :
      ( s__attribute(X0,s__Solid)
      | s__attribute(X0,s__Gaseous)
      | ~ s__instance(X0,s__Planet26_1)
      | ~ s__instance(X0,s__Object) ),
    inference(flattening,[],[f38036]) ).

fof(f38055,plain,
    ~ s__attribute(s__Object26_1,s__HostileToEarthLife),
    inference(cnf_transformation,[],[f37991]) ).

fof(f38060,plain,
    ! [X0] :
      ( s__attribute(X0,s__HostileToEarthLife)
      | s__attribute(X0,s__Earthlike)
      | ~ s__instance(X0,s__Planet26_1)
      | ~ s__instance(X0,s__Object) ),
    inference(cnf_transformation,[],[f38003]) ).

fof(f38061,plain,
    ~ s__attribute(s__Object26_1,s__Solid),
    inference(cnf_transformation,[],[f37988]) ).

fof(f38062,plain,
    s__instance(s__Object26_1,s__Planet26_1),
    inference(cnf_transformation,[],[f37987]) ).

fof(f38088,plain,
    s__subclass(s__Planet26_1,s__AstronomicalBody),
    inference(cnf_transformation,[],[f37983]) ).

fof(f38090,plain,
    ! [X0] :
      ( ~ s__attribute(X0,s__Earthlike)
      | ~ s__instance(X0,s__Planet26_1)
      | ~ s__attribute(X0,s__Gaseous)
      | ~ s__instance(X0,s__Object) ),
    inference(cnf_transformation,[],[f38028]) ).

fof(f38097,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,[],[f38033]) ).

fof(f38098,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f38034]) ).

fof(f38099,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f38034]) ).

fof(f38115,plain,
    s__subclass(s__AstronomicalBody,s__Object),
    inference(cnf_transformation,[],[f6942]) ).

fof(f38121,plain,
    ! [X0] :
      ( s__attribute(X0,s__Gaseous)
      | s__attribute(X0,s__Solid)
      | ~ s__instance(X0,s__Planet26_1)
      | ~ s__instance(X0,s__Object) ),
    inference(cnf_transformation,[],[f38037]) ).

fof(f38195,plain,
    ( s__attribute(s__Object26_1,s__Earthlike)
    | ~ s__instance(s__Object26_1,s__Planet26_1)
    | ~ s__instance(s__Object26_1,s__Object) ),
    inference(resolution,[],[f38060,f38055]) ).

fof(f38198,plain,
    ( s__attribute(s__Object26_1,s__Earthlike)
    | ~ s__instance(s__Object26_1,s__Object) ),
    inference(forward_subsumption_resolution,[],[f38195,f38062]) ).

fof(f38200,plain,
    ( ~ s__instance(s__Object26_1,s__Planet26_1)
    | ~ s__attribute(s__Object26_1,s__Gaseous)
    | ~ s__instance(s__Object26_1,s__Object)
    | ~ s__instance(s__Object26_1,s__Object) ),
    inference(resolution,[],[f38090,f38198]) ).

fof(f38201,plain,
    ( ~ s__instance(s__Object26_1,s__Planet26_1)
    | ~ s__attribute(s__Object26_1,s__Gaseous)
    | ~ s__instance(s__Object26_1,s__Object) ),
    inference(duplicate_literal_removal,[],[f38200]) ).

fof(f38202,plain,
    ( ~ s__attribute(s__Object26_1,s__Gaseous)
    | ~ s__instance(s__Object26_1,s__Object) ),
    inference(forward_subsumption_resolution,[],[f38201,f38062]) ).

fof(f38203,plain,
    ( s__attribute(s__Object26_1,s__Solid)
    | ~ s__instance(s__Object26_1,s__Planet26_1)
    | ~ s__instance(s__Object26_1,s__Object)
    | ~ s__instance(s__Object26_1,s__Object) ),
    inference(resolution,[],[f38121,f38202]) ).

fof(f38206,plain,
    ( s__attribute(s__Object26_1,s__Solid)
    | ~ s__instance(s__Object26_1,s__Planet26_1)
    | ~ s__instance(s__Object26_1,s__Object) ),
    inference(duplicate_literal_removal,[],[f38203]) ).

fof(f38207,plain,
    ( ~ s__instance(s__Object26_1,s__Planet26_1)
    | ~ s__instance(s__Object26_1,s__Object) ),
    inference(forward_subsumption_resolution,[],[f38206,f38061]) ).

fof(f38208,plain,
    ~ s__instance(s__Object26_1,s__Object),
    inference(forward_subsumption_resolution,[],[f38207,f38062]) ).

fof(f38297,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,[],[f38097,f38098]) ).

fof(f38298,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f38297,f38099]) ).

fof(f38299,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Object)
      | ~ s__instance(s__Object26_1,X0) ),
    inference(resolution,[],[f38298,f38208]) ).

fof(f38312,plain,
    ~ s__instance(s__Object26_1,s__AstronomicalBody),
    inference(resolution,[],[f38299,f38115]) ).

fof(f38344,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__AstronomicalBody)
      | ~ s__instance(s__Object26_1,X0) ),
    inference(resolution,[],[f38312,f38298]) ).

fof(f38415,plain,
    ~ s__instance(s__Object26_1,s__Planet26_1),
    inference(resolution,[],[f38344,f38088]) ).

fof(f38418,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f38415,f38062]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR096+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18  % Computer : n016.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Mon Sep 28 22:50:19 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22  Running first-order theorem proving
% 0.10/0.22  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
% 2.36/1.82  % (4125062)Detected formulas, will run a generic FOF schedule.
% 2.36/1.82  % (4125069)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=3030314660:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 2.36/1.82  % (4125073)dis-21_1_sil=8000:lcm=predicate:random_seed=1990767351: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)
% 2.36/1.82  % (4125072)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2726860794:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 2.36/1.82  % (4125068)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=2591432122:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 2.36/1.82  % (4125067)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=1674660968:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 2.36/1.82  % (4125071)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1307028801:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 2.36/1.82  % (4125070)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1757921813:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 2.36/1.82  % (4125072)Instruction limit reached! 
% 2.36/1.82  % (4125072)------------------------------
% 2.36/1.82  % (4125072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.82  % (4125072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.82  % (4125072)CaDiCaL version: 2.1.3
% 2.36/1.82  % (4125072)Termination reason: Instruction limit
% 2.36/1.82  % (4125072)Termination phase: Property scanning
% 2.36/1.82  % (4125072)Time elapsed: 0.060 s
% 2.36/1.82  % (4125072)Peak memory usage: 104 MB
% 2.36/1.82  % (4125072)Instructions burned: 139 (million)
% 2.36/1.82  % (4125070)Refutation not found, incomplete strategy
% 2.36/1.82  % (4125070)------------------------------
% 2.36/1.82  % (4125070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.82  % (4125070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.82  % (4125070)CaDiCaL version: 2.1.3
% 2.36/1.82  % (4125070)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.82  % (4125070)Time elapsed: 0.059 s
% 2.36/1.82  % (4125070)Peak memory usage: 108 MB
% 2.36/1.82  % (4125070)Instructions burned: 98 (million)
% 2.36/1.82  % (4125071)First to succeed.
% 2.36/1.82  % (4125071)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4125062"
% 2.36/1.82  % (4125073)Instruction limit reached! 
% 2.36/1.82  % (4125073)------------------------------
% 2.36/1.82  % (4125073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.82  % (4125073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.82  % (4125073)CaDiCaL version: 2.1.3
% 2.36/1.82  % (4125073)Termination reason: Instruction limit
% 2.36/1.82  % (4125073)Termination phase: Preprocessing 1
% 2.36/1.82  % (4125073)Time elapsed: 0.077 s
% 2.36/1.82  % (4125073)Peak memory usage: 106 MB
% 2.36/1.82  % (4125073)Instructions burned: 129 (million)
% 2.36/1.82  % (4125081)lrs+10_1_sil=8000:sp=occurrence:random_seed=4125031006:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 2.36/1.82  % (4125082)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2884967053:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 2.36/1.82  % (4125081)Also succeeded, but the first one will report.
% 2.36/1.82  % (4125082)Instruction limit reached! 
% 2.36/1.82  % (4125082)------------------------------
% 2.36/1.82  % (4125082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.82  % (4125082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.82  % (4125082)CaDiCaL version: 2.1.3
% 2.36/1.82  % (4125082)Termination reason: Instruction limit
% 2.36/1.82  % (4125082)Termination phase: SInE selection
% 2.36/1.82  % (4125082)Time elapsed: 0.069 s
% 2.36/1.82  % (4125082)Peak memory usage: 104 MB
% 2.36/1.82  % (4125082)Instructions burned: 157 (million)
% 2.36/1.82  % (4125070)------------------------------
% 2.36/1.82  % (4125070)------------------------------
% 2.36/1.82  % (4125071)Refutation found. Thanks to Tanya!
% 2.36/1.82  % SZS status Theorem for theBenchmark
% 2.36/1.82  % SZS output start Proof for theBenchmark
% See solution above
% 4.67/2.02  % (4125071)------------------------------
% 4.67/2.02  % (4125071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/2.02  % (4125071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/2.02  % (4125071)CaDiCaL version: 2.1.3
% 4.67/2.02  % (4125071)Termination reason: Refutation
% 4.67/2.02  % (4125071)Time elapsed: 0.069 s
% 4.67/2.02  % (4125071)Peak memory usage: 109 MB
% 4.67/2.02  % (4125071)Instructions burned: 111 (million)
% 4.67/2.02  % (4125071)------------------------------
% 4.67/2.02  % (4125071)------------------------------
% 4.67/2.02  % (4125062)Success in time 1.157 s
% 4.67/2.02  % Vampire exiting
%------------------------------------------------------------------------------