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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n020.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 01:45:17 PM UTC 2026

% Result   : Theorem 0.09s 0.26s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  14 unt;   2 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   57 (  30   ~;  21   |;   1   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,axiom,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

fof(f94,axiom,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_2(X0))
     => pred_attacker(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

fof(f95,axiom,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_1(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).

fof(f115,axiom,
    pred_attacker(constr_CONST_0x30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).

fof(f136,axiom,
    ! [X0] :
      ( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs)))
        & pred_attacker(tuple_client_B_in_1(X0)) )
     => pred_attacker(tuple_client_B_out_2(name_objective)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).

fof(f139,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

fof(f140,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[status(cth)],[f139]) ).

fof(f141,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f140]) ).

fof(f155,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_B_out_2(X0)) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f156,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_1(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f199,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_2(name_objective))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs)))
      | ~ pred_attacker(tuple_client_B_in_1(X0)) ),
    inference(ennf_transformation,[],[f136]) ).

fof(f200,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_2(name_objective))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs)))
      | ~ pred_attacker(tuple_client_B_in_1(X0)) ),
    inference(flattening,[],[f199]) ).

fof(f282,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f80]) ).

fof(f296,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_2(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f297,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_1(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f317,plain,
    pred_attacker(constr_CONST_0x30),
    inference(cnf_transformation,[],[f115]) ).

fof(f337,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_2(name_objective))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs)))
      | ~ pred_attacker(tuple_client_B_in_1(X0)) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f340,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f141]) ).

fof(f358,definition,
    ( spl0_5
  <=> ! [X0] :
        ( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs)))
        | ~ pred_attacker(tuple_client_B_in_1(X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f359,plain,
    ( ! [X0] :
        ( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs)))
        | ~ pred_attacker(tuple_client_B_in_1(X0)) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f361,definition,
    ( spl0_6
  <=> pred_attacker(tuple_client_B_out_2(name_objective)) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f363,plain,
    ( pred_attacker(tuple_client_B_out_2(name_objective))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f364,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f337,f361,f358]) ).

fof(f394,plain,
    ( ! [X0] : ~ pred_attacker(tuple_client_B_in_1(X0))
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f359,f282]) ).

fof(f395,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_5 ),
    inference(resolution,[],[f394,f297]) ).

fof(f396,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f395,f317]) ).

fof(f443,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f396]) ).

fof(f444,plain,
    ( pred_attacker(name_objective)
    | ~ spl0_6 ),
    inference(resolution,[],[f363,f296]) ).

fof(f445,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f444,f340]) ).

fof(f446,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f445]) ).

cnf(s3,plain,
    ( spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s19,plain,
    ~ spl0_5,
    inference(sat_conversion,[],[f443]) ).

cnf(s20,plain,
    ~ spl0_6,
    inference(sat_conversion,[],[f446]) ).

cnf(s21,plain,
    $false,
    inference(rat,[],[s3,s20,s19]) ).

fof(f447,plain,
    $false,
    inference(avatar_sat_refutation,[],[s21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW970+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n020.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
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 14:50:34 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.22  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
% 0.09/0.26  % (216506)Will run a generic schedule for satisfiability detection.
% 0.09/0.26  % (216514)dis+10_1_sil=32000:sp=arity:random_seed=4078318368:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26  % (216512)% WARNING: option uhcvi not known.
% 0.09/0.26  % (216514) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-216506-216514"...
% 0.09/0.26  % (216514)...printing done.
% 0.09/0.26  % (216514)Refutation found. Thanks to Tanya!
% 0.09/0.26  % SZS status Theorem for theBenchmark
% 0.09/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26  % (216514)------------------------------
% 0.09/0.26  % (216514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26  % (216514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26  % (216514)CaDiCaL version: 2.1.3
% 0.09/0.26  % (216514)Termination reason: Refutation
% 0.09/0.26  % (216514)Time elapsed: 0.003 s
% 0.09/0.26  % (216514)Peak memory usage: 12 MB
% 0.09/0.26  % (216514)Instructions burned: 7 (million)
% 0.09/0.26  % (216506)Success in time 0.033 s
% 0.09/0.26  % Vampire exiting
%------------------------------------------------------------------------------