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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR101+5 : 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 : n009.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 09:43:01 AM UTC 2026

% Result   : Theorem 0.21s 1.81s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   9 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   59 (  26   ~;  22   |;   6   &)
%                                         (   0 <=>;   5  =>;   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   :   31 (  30   !;   1   ?)

% 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(f16756,axiom,
    s__subclass(s__Class32_2,s__Class32_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_8) ).

fof(f16757,axiom,
    s__subclass(s__Class32_3,s__Class32_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_9) ).

fof(f16758,conjecture,
    ! [X0] :
      ( s__instance(X0,s__Class32_2)
     => s__instance(X0,s__Class32_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(f16759,negated_conjecture,
    ~ ! [X0] :
        ( s__instance(X0,s__Class32_2)
       => s__instance(X0,s__Class32_1) ),
    inference(negated_conjecture,[status(cth)],[f16758]) ).

fof(f16760,plain,
    ? [X0] :
      ( ~ s__instance(X0,s__Class32_1)
      & s__instance(X0,s__Class32_2) ),
    inference(ennf_transformation,[],[f16759]) ).

fof(f16764,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(f16765,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,[],[f16764]) ).

fof(f16766,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f16767,plain,
    ( ~ s__instance(sK0,s__Class32_1)
    & s__instance(sK0,s__Class32_2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16760]) ).

fof(f16768,plain,
    s__instance(sK0,s__Class32_2),
    inference(cnf_transformation,[],[f16767]) ).

fof(f16769,plain,
    ~ s__instance(sK0,s__Class32_1),
    inference(cnf_transformation,[],[f16767]) ).

fof(f16770,plain,
    s__subclass(s__Class32_3,s__Class32_1),
    inference(cnf_transformation,[],[f16757]) ).

fof(f16774,plain,
    s__subclass(s__Class32_2,s__Class32_3),
    inference(cnf_transformation,[],[f16756]) ).

fof(f16779,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,[],[f16765]) ).

fof(f16780,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f16766]) ).

fof(f16781,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f16766]) ).

fof(f16787,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,[],[f16779,f16780]) ).

fof(f16789,plain,
    ! [X2,X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X2,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f16787,f16781]) ).

fof(f16817,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__Class32_2)
      | s__instance(X0,s__Class32_3) ),
    inference(resolution,[],[f16789,f16774]) ).

fof(f16819,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__Class32_3)
      | s__instance(X0,s__Class32_1) ),
    inference(resolution,[],[f16789,f16770]) ).

fof(f16859,plain,
    s__instance(sK0,s__Class32_3),
    inference(resolution,[],[f16817,f16768]) ).

fof(f16862,plain,
    s__instance(sK0,s__Class32_1),
    inference(resolution,[],[f16819,f16859]) ).

fof(f16863,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f16862,f16769]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR101+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n009.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % 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 22:51:00 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  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
% 0.21/1.81  % (3580998)Detected formulas, will run a generic FOF schedule.
% 0.21/1.81  % (3581007)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1600427060:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 0.21/1.81  % (3581007)Instruction limit reached! 
% 0.21/1.81  % (3581007)------------------------------
% 0.21/1.81  % (3581007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.81  % (3581007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.81  % (3581007)CaDiCaL version: 2.1.3
% 0.21/1.81  % (3581007)Termination reason: Instruction limit
% 0.21/1.81  % (3581007)Termination phase: Saturation
% 0.21/1.81  % (3581007)Time elapsed: 0.038 s
% 0.21/1.81  % (3581007)Peak memory usage: 102 MB
% 0.21/1.81  % (3581007)Instructions burned: 124 (million)
% 0.21/1.81  % (3581005)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=223201840:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 0.21/1.81  % (3581006)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3445408786:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 0.21/1.81  % (3581003)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=4221043720:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 0.21/1.81  % (3581004)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=1079294938:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 0.21/1.81  % (3581009)dis-21_1_sil=8000:lcm=predicate:random_seed=1900690004:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 0.21/1.81  % (3581008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=86428549:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 0.21/1.81  % (3581006)Refutation not found, incomplete strategy
% 0.21/1.81  % (3581006)------------------------------
% 0.21/1.81  % (3581006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.81  % (3581006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.81  % (3581006)CaDiCaL version: 2.1.3
% 0.21/1.81  % (3581006)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.81  % (3581006)Time elapsed: 0.041 s
% 0.21/1.81  % (3581006)Peak memory usage: 102 MB
% 0.21/1.81  % (3581006)Instructions burned: 59 (million)
% 0.21/1.81  % (3581008)Instruction limit reached! 
% 0.21/1.81  % (3581008)------------------------------
% 0.21/1.81  % (3581008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.81  % (3581008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.81  % (3581008)CaDiCaL version: 2.1.3
% 0.21/1.81  % (3581008)Termination reason: Instruction limit
% 0.21/1.81  % (3581008)Termination phase: SInE selection
% 0.21/1.81  % (3581008)Time elapsed: 0.076 s
% 0.21/1.81  % (3581008)Peak memory usage: 99 MB
% 0.21/1.81  % (3581008)Instructions burned: 139 (million)
% 0.21/1.81  % (3581009)Instruction limit reached! 
% 0.21/1.81  % (3581009)------------------------------
% 0.21/1.81  % (3581009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.81  % (3581009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.81  % (3581009)CaDiCaL version: 2.1.3
% 0.21/1.81  % (3581009)Termination reason: Instruction limit
% 0.21/1.81  % (3581009)Termination phase: Saturation
% 0.21/1.81  % (3581009)Time elapsed: 0.082 s
% 0.21/1.81  % (3581009)Peak memory usage: 102 MB
% 0.21/1.81  % (3581009)Instructions burned: 130 (million)
% 0.21/1.81  % (3581011)lrs+10_1_sil=8000:sp=occurrence:random_seed=1610504516:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 0.21/1.81  % (3581011)First to succeed.
% 0.21/1.81  % (3581011)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3580998"
% 0.21/1.81  % (3581018)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1929475829:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 0.21/1.81  % (3581019)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1533019604:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 0.21/1.81  % (3581006)------------------------------
% 0.21/1.81  % (3581006)------------------------------
% 0.21/1.81  % (3581011)Refutation found. Thanks to Tanya!
% 0.21/1.81  % SZS status Theorem for theBenchmark
% 0.21/1.81  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.81  % (3581011)------------------------------
% 0.21/1.81  % (3581011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.81  % (3581011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.81  % (3581011)CaDiCaL version: 2.1.3
% 0.21/1.81  % (3581011)Termination reason: Refutation
% 0.21/1.81  % (3581011)Time elapsed: 0.024 s
% 0.21/1.81  % (3581011)Peak memory usage: 103 MB
% 0.21/1.81  % (3581011)Instructions burned: 51 (million)
% 0.21/1.81  % (3581011)------------------------------
% 0.21/1.81  % (3581011)------------------------------
% 0.21/1.81  % (3580998)Success in time 0.898 s
% 0.21/1.81  % Vampire exiting
%------------------------------------------------------------------------------