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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 12:32:31 PM UTC 2026

% Result   : Theorem 0.07s 0.37s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   45 (  22 unt;   0 def)
%            Number of atoms       :   94 (  12 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   92 (  43   ~;  38   |;   3   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    cat(garfield),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',garfield_type) ).

fof(f4,axiom,
    dog(odie),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_type) ).

fof(f6,axiom,
    ! [X0] :
      ( dog(X0)
     => pet(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_pet_type) ).

fof(f7,axiom,
    ! [X0] :
      ( cat(X0)
     => pet(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_pet_type) ).

fof(f9,axiom,
    human(jon),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_type) ).

fof(f12,axiom,
    owner(jon,odie),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_o_owner_axiom) ).

fof(f13,axiom,
    owner(jon,garfield),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_g_owner_axiom) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( cat(X0)
        & dog(X1) )
     => ( chased(X1,X0)
       => hates(owner_of(X0),owner_of(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_chase_axiom) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( human(X0)
        & pet(X1) )
     => ( owner(X0,X1)
      <=> X0 = owner_of(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owner_def) ).

fof(f18,axiom,
    chased(odie,garfield),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_chase_axiom) ).

fof(f19,conjecture,
    hates(jon,jon),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_conjecture) ).

fof(f20,negated_conjecture,
    ~ hates(jon,jon),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f23,plain,
    ~ hates(jon,jon),
    inference(flattening,[],[f20]) ).

fof(f24,plain,
    ! [X0] :
      ( pet(X0)
      | ~ dog(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f25,plain,
    ! [X0] :
      ( pet(X0)
      | ~ cat(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( hates(owner_of(X0),owner_of(X1))
      | ~ chased(X1,X0)
      | ~ cat(X0)
      | ~ dog(X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( hates(owner_of(X0),owner_of(X1))
      | ~ chased(X1,X0)
      | ~ cat(X0)
      | ~ dog(X1) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( owner(X0,X1)
      <=> X0 = owner_of(X1) )
      | ~ human(X0)
      | ~ pet(X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( owner(X0,X1)
      <=> X0 = owner_of(X1) )
      | ~ human(X0)
      | ~ pet(X1) ),
    inference(flattening,[],[f32]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( ( owner(X0,X1)
          | owner_of(X1) != X0 )
        & ( X0 = owner_of(X1)
          | ~ owner(X0,X1) ) )
      | ~ human(X0)
      | ~ pet(X1) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f43,plain,
    cat(garfield),
    inference(cnf_transformation,[],[f2]) ).

fof(f45,plain,
    dog(odie),
    inference(cnf_transformation,[],[f4]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ dog(X0)
      | pet(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ cat(X0)
      | pet(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f50,plain,
    human(jon),
    inference(cnf_transformation,[],[f9]) ).

fof(f54,plain,
    owner(jon,odie),
    inference(cnf_transformation,[],[f12]) ).

fof(f55,plain,
    owner(jon,garfield),
    inference(cnf_transformation,[],[f13]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( hates(owner_of(X0),owner_of(X1))
      | ~ chased(X1,X0)
      | ~ cat(X0)
      | ~ dog(X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ owner(X0,X1)
      | owner_of(X1) = X0
      | ~ human(X0)
      | ~ pet(X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f63,plain,
    chased(odie,garfield),
    inference(cnf_transformation,[],[f18]) ).

fof(f64,plain,
    ~ hates(jon,jon),
    inference(cnf_transformation,[],[f23]) ).

fof(f135,plain,
    pet(odie),
    inference(resolution,[],[f47,f45]) ).

fof(f140,plain,
    pet(garfield),
    inference(resolution,[],[f48,f43]) ).

fof(f158,plain,
    ( jon = owner_of(odie)
    | ~ human(jon)
    | ~ pet(odie) ),
    inference(resolution,[],[f61,f54]) ).

fof(f159,plain,
    ( jon = owner_of(garfield)
    | ~ human(jon)
    | ~ pet(garfield) ),
    inference(resolution,[],[f61,f55]) ).

fof(f163,plain,
    ( jon = owner_of(garfield)
    | ~ pet(garfield) ),
    inference(forward_subsumption_resolution,[],[f159,f50]) ).

fof(f164,plain,
    ( jon = owner_of(odie)
    | ~ pet(odie) ),
    inference(forward_subsumption_resolution,[],[f158,f50]) ).

fof(f165,plain,
    jon = owner_of(garfield),
    inference(forward_subsumption_resolution,[],[f163,f140]) ).

fof(f166,plain,
    jon = owner_of(odie),
    inference(forward_subsumption_resolution,[],[f164,f135]) ).

fof(f168,plain,
    ! [X0] :
      ( hates(jon,owner_of(X0))
      | ~ chased(X0,garfield)
      | ~ cat(garfield)
      | ~ dog(X0) ),
    inference(superposition,[],[f60,f165]) ).

fof(f171,plain,
    ! [X0] :
      ( hates(jon,owner_of(X0))
      | ~ chased(X0,garfield)
      | ~ dog(X0) ),
    inference(forward_subsumption_resolution,[],[f168,f43]) ).

fof(f194,plain,
    ( hates(jon,jon)
    | ~ chased(odie,garfield)
    | ~ dog(odie) ),
    inference(superposition,[],[f171,f166]) ).

fof(f195,plain,
    ( ~ chased(odie,garfield)
    | ~ dog(odie) ),
    inference(forward_subsumption_resolution,[],[f194,f64]) ).

fof(f196,plain,
    ~ dog(odie),
    inference(forward_subsumption_resolution,[],[f195,f63]) ).

fof(f197,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f196,f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32  % Computer : n012.cluster.edu
% 0.04/0.32  % Model    : x86_64 x86_64
% 0.04/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32  % Memory   : 8046.5625MB
% 0.04/0.32  % OS       : Linux 6.8.0-71-generic
% 0.04/0.32  % CPULimit : 300
% 0.04/0.32  % WCLimit  : 300
% 0.04/0.32  % DateTime : Sun Sep 27 22:44:35 UTC 2026
% 0.04/0.32  % CPUTime  : 
% 0.04/0.32  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33  Running first-order model finding
% 0.07/0.34  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.37  % (2826216)Will run a generic schedule for satisfiability detection.
% 0.07/0.37  % (2826222)% WARNING: option uhcvi not known.
% 0.07/0.37  % (2826223)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=355467172:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37  % (2826227)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3686860065:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37  % (2826226)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=304353193:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37  % (2826224)dis+10_1_sil=32000:sp=arity:random_seed=3294726976:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37  % (2826221)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3050730780_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37  % (2826225)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2028724801:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37  % (2826222)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=869157989:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37  % TRYING [1]
% 0.07/0.37  % TRYING [2]
% 0.07/0.37  % TRYING [3]
% 0.07/0.37  % TRYING [4]
% 0.07/0.37  % (2826224) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2826216-2826224"...
% 0.07/0.37  % (2826222) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2826216-2826222"...
% 0.07/0.37  % TRYING [5]
% 0.07/0.37  % TRYING [6]
% 0.07/0.37  % (2826225) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2826216-2826225"...
% 0.07/0.37  % (2826224)...printing done.
% 0.07/0.37  % (2826222)...printing done.
% 0.07/0.37  % (2826227) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2826216-2826227"...
% 0.07/0.37  % (2826224)Refutation found. Thanks to Tanya!
% 0.07/0.37  % SZS status Theorem for theBenchmark
% 0.07/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37  % (2826224)------------------------------
% 0.07/0.37  % (2826224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37  % (2826224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37  % (2826224)CaDiCaL version: 2.1.3
% 0.07/0.37  % (2826224)Termination reason: Refutation
% 0.07/0.37  % (2826224)Time elapsed: 0.002 s
% 0.07/0.37  % (2826224)Peak memory usage: 11 MB
% 0.07/0.37  % (2826224)Instructions burned: 3 (million)
% 0.07/0.37  % (2826216)Success in time 0.033 s
% 0.07/0.37  % Vampire exiting
%------------------------------------------------------------------------------