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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR099+4 : 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 : n008.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 3.87s 1.48s
% Output   : Refutation 3.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  10 unt;   0 def)
%            Number of atoms       :   47 (  12 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   50 (  23   ~;  20   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (  18   !;   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(f1217,axiom,
    ! [X0,X1] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
     => ( ( s__subclass(X0,X1)
          & s__subclass(X1,X0) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_1220) ).

fof(f7219,axiom,
    s__subclass(s__Class30_1,s__Reptile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).

fof(f7220,axiom,
    s__subclass(s__Reptile,s__Class30_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_3) ).

fof(f7221,conjecture,
    s__Class30_1 = s__Reptile,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(f7222,negated_conjecture,
    s__Class30_1 != s__Reptile,
    inference(negated_conjecture,[status(cth)],[f7221]) ).

fof(f7224,plain,
    s__Reptile != s__Class30_1,
    inference(flattening,[],[f7222]) ).

fof(f7227,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f1217]) ).

fof(f7228,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f7227]) ).

fof(f7238,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f7241,plain,
    s__Reptile != s__Class30_1,
    inference(cnf_transformation,[],[f7224]) ).

fof(f7243,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f7228]) ).

fof(f7251,plain,
    s__subclass(s__Reptile,s__Class30_1),
    inference(cnf_transformation,[],[f7220]) ).

fof(f7252,plain,
    s__subclass(s__Class30_1,s__Reptile),
    inference(cnf_transformation,[],[f7219]) ).

fof(f7257,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f7238]) ).

fof(f7269,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X0)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[],[f7243,f7257]) ).

fof(f7270,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X1,X0)
      | ~ s__subclass(X0,X1)
      | X0 = X1 ),
    inference(forward_subsumption_resolution,[],[f7269,f7257]) ).

fof(f7275,plain,
    ( ~ s__subclass(s__Reptile,s__Class30_1)
    | s__Reptile = s__Class30_1 ),
    inference(resolution,[],[f7270,f7252]) ).

fof(f7277,plain,
    s__Reptile = s__Class30_1,
    inference(forward_subsumption_resolution,[],[f7275,f7251]) ).

fof(f7279,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f7277,f7241]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR099+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n008.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 22:50:40 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  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
% 3.87/1.48  % (2738724)Detected formulas, will run a generic FOF schedule.
% 3.87/1.48  % (2738735)dis-21_1_sil=8000:lcm=predicate:random_seed=310589082:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.87/1.48  % (2738734)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2758032971:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.87/1.48  % (2738733)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1441150914:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.87/1.48  % (2738729)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=4159014429:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.87/1.48  % (2738732)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2643490889:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.87/1.48  % (2738731)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=2619182656:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.87/1.48  % (2738730)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=2187174496:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.87/1.48  % (2738735)Instruction limit reached! 
% 3.87/1.48  % (2738735)------------------------------
% 3.87/1.48  % (2738735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.48  % (2738735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.48  % (2738735)CaDiCaL version: 2.1.3
% 3.87/1.48  % (2738735)Termination reason: Instruction limit
% 3.87/1.48  % (2738735)Termination phase: Equality proxy
% 3.87/1.48  % (2738735)Time elapsed: 0.041 s
% 3.87/1.48  % (2738735)Peak memory usage: 94 MB
% 3.87/1.48  % (2738735)Instructions burned: 130 (million)
% 3.87/1.48  % (2738732)Refutation not found, incomplete strategy
% 3.87/1.48  % (2738732)------------------------------
% 3.87/1.48  % (2738732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.48  % (2738733)First to succeed.
% 3.87/1.48  % (2738732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.48  % (2738732)CaDiCaL version: 2.1.3
% 3.87/1.48  % (2738732)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.48  % (2738732)Time elapsed: 0.021 s
% 3.87/1.48  % (2738732)Peak memory usage: 94 MB
% 3.87/1.48  % (2738732)Instructions burned: 38 (million)
% 3.87/1.48  % (2738733)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2738724"
% 3.87/1.48  % (2738734)Instruction limit reached! 
% 3.87/1.48  % (2738734)------------------------------
% 3.87/1.48  % (2738734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.48  % (2738734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.48  % (2738734)CaDiCaL version: 2.1.3
% 3.87/1.48  % (2738734)Termination reason: Instruction limit
% 3.87/1.48  % (2738734)Termination phase: Preprocessing 3
% 3.87/1.48  % (2738734)Time elapsed: 0.087 s
% 3.87/1.48  % (2738734)Peak memory usage: 95 MB
% 3.87/1.48  % (2738734)Instructions burned: 139 (million)
% 3.87/1.48  % (2738743)lrs+10_1_sil=8000:sp=occurrence:random_seed=4241866655:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.87/1.48  % (2738743)Also succeeded, but the first one will report.
% 3.87/1.48  % (2738744)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1626187473:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 3.87/1.48  % (2738732)------------------------------
% 3.87/1.48  % (2738732)------------------------------
% 3.87/1.48  % (2738744)Refutation not found, incomplete strategy
% 3.87/1.48  % (2738744)------------------------------
% 3.87/1.48  % (2738744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.48  % (2738744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.48  % (2738744)CaDiCaL version: 2.1.3
% 3.87/1.48  % (2738744)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.48  % (2738744)Time elapsed: 0.040 s
% 3.87/1.48  % (2738744)Peak memory usage: 95 MB
% 3.87/1.48  % (2738744)Instructions burned: 82 (million)
% 3.87/1.48  % (2738733)Refutation found. Thanks to Tanya!
% 3.87/1.48  % SZS status Theorem for theBenchmark
% 3.87/1.48  % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.48  % (2738733)------------------------------
% 3.87/1.48  % (2738733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.48  % (2738733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.48  % (2738733)CaDiCaL version: 2.1.3
% 3.87/1.48  % (2738733)Termination reason: Refutation
% 3.87/1.48  % (2738733)Time elapsed: 0.022 s
% 3.87/1.48  % (2738733)Peak memory usage: 94 MB
% 3.87/1.48  % (2738733)Instructions burned: 39 (million)
% 3.87/1.48  % (2738733)------------------------------
% 3.87/1.48  % (2738733)------------------------------
% 3.87/1.48  % (2738724)Success in time 0.627 s
% 3.87/1.48  % Vampire exiting
%------------------------------------------------------------------------------