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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR100+7 : 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 : n004.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 6.43s 3.22s
% Output   : Refutation 6.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   32 (  13 unt;   0 def)
%            Number of atoms       :   90 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  107 (  49   ~;  46   |;   7   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 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   :   53 (  51   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26456,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_26635) ).

fof(f26457,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_26636) ).

fof(f28279,axiom,
    ! [X0,X1,X2] :
      ( ( s__instance(X2,s__SetOrClass)
        & s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
     => ( ( s__subclass(X0,X1)
          & s__subclass(X1,X2) )
       => s__subclass(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_28461) ).

fof(f55594,axiom,
    s__subclass(s__Class31_2,s__Class31_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_8) ).

fof(f55595,axiom,
    s__subclass(s__Class31_3,s__Class31_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_9) ).

fof(f55596,axiom,
    s__instance(s__Animal31,s__Class31_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_10) ).

fof(f55597,conjecture,
    ? [X0] : s__instance(X0,s__Class31_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(f55598,negated_conjecture,
    ~ ? [X0] : s__instance(X0,s__Class31_1),
    inference(negated_conjecture,[status(cth)],[f55597]) ).

fof(f55599,plain,
    ! [X0] : ~ s__instance(X0,s__Class31_1),
    inference(ennf_transformation,[],[f55598]) ).

fof(f55600,plain,
    ! [X0,X1,X2] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X2)
      | ~ s__instance(X2,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f28279]) ).

fof(f55601,plain,
    ! [X0,X1,X2] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X2)
      | ~ s__instance(X2,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f55600]) ).

fof(f55603,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,[],[f26457]) ).

fof(f55604,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,[],[f55603]) ).

fof(f55605,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26456]) ).

fof(f55606,plain,
    ! [X0] : ~ s__instance(X0,s__Class31_1),
    inference(cnf_transformation,[],[f55599]) ).

fof(f55607,plain,
    s__subclass(s__Class31_3,s__Class31_1),
    inference(cnf_transformation,[],[f55595]) ).

fof(f55611,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X2)
      | ~ s__instance(X2,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f55601]) ).

fof(f55613,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,[],[f55604]) ).

fof(f55614,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f55605]) ).

fof(f55615,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f55605]) ).

fof(f55616,plain,
    s__subclass(s__Class31_2,s__Class31_3),
    inference(cnf_transformation,[],[f55594]) ).

fof(f55619,plain,
    s__instance(s__Animal31,s__Class31_2),
    inference(cnf_transformation,[],[f55596]) ).

fof(f55625,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,[],[f55613,f55614]) ).

fof(f55626,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X2)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[],[f55611,f55614]) ).

fof(f55627,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | s__instance(X2,X1) ),
    inference(forward_subsumption_resolution,[],[f55625,f55615]) ).

fof(f55628,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X2)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[],[f55626,f55614]) ).

fof(f55629,plain,
    ! [X2,X0,X1] :
      ( ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | s__subclass(X0,X2) ),
    inference(forward_subsumption_resolution,[],[f55628,f55615]) ).

fof(f55653,plain,
    ! [X0] :
      ( ~ s__subclass(s__Class31_2,X0)
      | s__instance(s__Animal31,X0) ),
    inference(resolution,[],[f55627,f55619]) ).

fof(f55665,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Class31_3)
      | s__subclass(X0,s__Class31_1) ),
    inference(resolution,[],[f55629,f55607]) ).

fof(f55731,plain,
    s__subclass(s__Class31_2,s__Class31_1),
    inference(resolution,[],[f55665,f55616]) ).

fof(f55757,plain,
    s__instance(s__Animal31,s__Class31_1),
    inference(resolution,[],[f55731,f55653]) ).

fof(f55763,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f55757,f55606]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR100+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n004.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 22:50:22 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  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
% 6.43/3.22  % (871354)Detected formulas, will run a generic FOF schedule.
% 6.43/3.22  % (871362)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=638296967:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 6.43/3.22  % (871361)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=3791331073:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 6.43/3.22  % (871359)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=1049231729:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 6.43/3.22  % (871360)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=2729542959:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 6.43/3.22  % (871364)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=699533808:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 6.43/3.22  % (871363)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3608246176:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 6.43/3.22  % (871362)Instruction limit reached! 
% 6.43/3.22  % (871362)------------------------------
% 6.43/3.22  % (871362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/3.22  % (871362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/3.22  % (871362)CaDiCaL version: 2.1.3
% 6.43/3.22  % (871362)Termination reason: Instruction limit
% 6.43/3.22  % (871362)Termination phase: SInE selection
% 6.43/3.22  % (871362)Time elapsed: 0.045 s
% 6.43/3.22  % (871362)Peak memory usage: 139 MB
% 6.43/3.22  % (871362)Instructions burned: 113 (million)
% 6.43/3.22  % (871365)dis-21_1_sil=8000:lcm=predicate:random_seed=1432769461:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 6.43/3.22  % (871364)Instruction limit reached! 
% 6.43/3.22  % (871364)------------------------------
% 6.43/3.22  % (871364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/3.22  % (871364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/3.22  % (871364)CaDiCaL version: 2.1.3
% 6.43/3.22  % (871364)Termination reason: Instruction limit
% 6.43/3.22  % (871364)Termination phase: Property scanning
% 6.43/3.22  % (871364)Time elapsed: 0.076 s
% 6.43/3.22  % (871364)Peak memory usage: 138 MB
% 6.43/3.22  % (871364)Instructions burned: 139 (million)
% 6.43/3.22  % (871363)Instruction limit reached! 
% 6.43/3.22  % (871363)------------------------------
% 6.43/3.22  % (871363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/3.22  % (871363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/3.22  % (871363)CaDiCaL version: 2.1.3
% 6.43/3.22  % (871363)Termination reason: Instruction limit
% 6.43/3.22  % (871363)Termination phase: SInE selection
% 6.43/3.22  % (871363)Time elapsed: 0.075 s
% 6.43/3.22  % (871363)Peak memory usage: 139 MB
% 6.43/3.22  % (871363)Instructions burned: 119 (million)
% 6.43/3.22  % (871365)Instruction limit reached! 
% 6.43/3.22  % (871365)------------------------------
% 6.43/3.22  % (871365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/3.22  % (871365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/3.22  % (871365)CaDiCaL version: 2.1.3
% 6.43/3.22  % (871365)Termination reason: Instruction limit
% 6.43/3.22  % (871365)Termination phase: SInE selection
% 6.43/3.22  % (871365)Time elapsed: 0.080 s
% 6.43/3.22  % (871365)Peak memory usage: 139 MB
% 6.43/3.22  % (871365)Instructions burned: 130 (million)
% 6.43/3.22  % (871373)lrs+10_1_sil=8000:sp=occurrence:random_seed=1505059206:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 6.43/3.22  % (871374)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1734402865:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/157Mi)
% 6.43/3.22  % (871373)First to succeed.
% 6.43/3.22  % (871373)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-871354"
% 6.43/3.22  % (871375)lrs+1011_1_sil=32000:sp=occurrence:random_seed=952600132:i=325:sd=1:ss=axioms:sgt=32_2980 on theBenchmark for (2980ds/325Mi)
% 6.43/3.22  % (871376)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1306344326:s2a=on:i=248:s2at=1.23:gtg=position_2980 on theBenchmark for (2980ds/248Mi)
% 6.43/3.22  % (871374)Instruction limit reached! 
% 6.43/3.22  % (871374)------------------------------
% 6.43/3.22  % (871374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/3.22  % (871374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/3.22  % (871374)CaDiCaL version: 2.1.3
% 6.43/3.22  % (871374)Termination reason: Instruction limit
% 6.43/3.22  % (871374)Termination phase: Property scanning
% 6.43/3.22  % (871374)Time elapsed: 0.083 s
% 6.43/3.22  % (871374)Peak memory usage: 138 MB
% 6.43/3.22  % (871374)Instructions burned: 157 (million)
% 6.43/3.22  % (871376)Instruction limit reached! 
% 6.43/3.22  % (871376)------------------------------
% 6.43/3.22  % (871376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/3.22  % (871376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/3.22  % (871376)CaDiCaL version: 2.1.3
% 6.43/3.22  % (871376)Termination reason: Instruction limit
% 6.43/3.22  % (871376)Termination phase: Property scanning
% 6.43/3.22  % (871376)Time elapsed: 0.126 s
% 6.43/3.22  % (871376)Peak memory usage: 138 MB
% 6.43/3.22  % (871376)Instructions burned: 248 (million)
% 6.43/3.22  % (871375)Refutation not found, incomplete strategy
% 6.43/3.22  % (871375)------------------------------
% 6.43/3.22  % (871375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/3.22  % (871375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/3.22  % (871375)CaDiCaL version: 2.1.3
% 6.43/3.22  % (871375)Termination reason: Refutation not found, incomplete strategy
% 6.43/3.22  % (871375)Time elapsed: 0.152 s
% 6.43/3.22  % (871375)Peak memory usage: 144 MB
% 6.43/3.22  % (871375)Instructions burned: 201 (million)
% 6.43/3.22  % (871373)Refutation found. Thanks to Tanya!
% 6.43/3.22  % SZS status Theorem for theBenchmark
% 6.43/3.22  % SZS output start Proof for theBenchmark
% See solution above
% 6.43/3.22  % (871373)------------------------------
% 6.43/3.22  % (871373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/3.22  % (871373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/3.22  % (871373)CaDiCaL version: 2.1.3
% 6.43/3.22  % (871373)Termination reason: Refutation
% 6.43/3.22  % (871373)Time elapsed: 0.098 s
% 6.43/3.22  % (871373)Peak memory usage: 144 MB
% 6.43/3.22  % (871373)Instructions burned: 209 (million)
% 6.43/3.22  % (871373)------------------------------
% 6.43/3.22  % (871373)------------------------------
% 6.43/3.22  % (871354)Success in time 2.301 s
% 6.43/3.22  % Vampire exiting
%------------------------------------------------------------------------------