TSTP Solution File: SWW965+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW965+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 19:04:08 EDT 2024

% Result   : Theorem 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   55 (  14 unt;   0 def)
%            Number of atoms       :  132 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  143 (  66   ~;  53   |;  10   &)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-2 aty)
%            Number of variables   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f722,plain,
    $false,
    inference(avatar_sat_refutation,[],[f558,f607,f658,f709,f721]) ).

fof(f721,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f720]) ).

fof(f720,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f719,f350]) ).

fof(f350,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f189]) ).

fof(f189,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f188]) ).

fof(f188,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f719,plain,
    ( pred_attacker(name_objective)
    | ~ spl0_1 ),
    inference(resolution,[],[f488,f548]) ).

fof(f548,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl0_1
  <=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f488,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_6(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f292,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_B_out_6(X0)) ),
    inference(ennf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_6(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f132]) ).

fof(f132,axiom,
    ! [X60] :
      ( pred_attacker(tuple_client_B_out_6(X60))
     => pred_attacker(X60) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f709,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f660]) ).

fof(f660,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f659,f357]) ).

fof(f357,plain,
    pred_attacker(constr_CONST_0x30),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,axiom,
    pred_attacker(constr_CONST_0x30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f659,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_4 ),
    inference(resolution,[],[f557,f473]) ).

fof(f473,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_5(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f277,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_5(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(rectify,[],[f138]) ).

fof(f138,axiom,
    ! [X69] :
      ( pred_attacker(X69)
     => pred_attacker(tuple_client_B_in_5(X69)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f557,plain,
    ( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl0_4
  <=> ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f658,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f609]) ).

fof(f609,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f608,f357]) ).

fof(f608,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_3 ),
    inference(resolution,[],[f477,f554]) ).

fof(f554,plain,
    ( ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl0_3
  <=> ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f477,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f281,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_3(X0)) ),
    inference(rectify,[],[f140]) ).

fof(f140,axiom,
    ! [X71] :
      ( pred_attacker(X71)
     => pred_attacker(tuple_client_B_in_3(X71)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f607,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f560]) ).

fof(f560,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f559,f357]) ).

fof(f559,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_2 ),
    inference(resolution,[],[f475,f551]) ).

fof(f551,plain,
    ( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_2
  <=> ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f475,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f279,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_2(X0)) ),
    inference(rectify,[],[f142]) ).

fof(f142,axiom,
    ! [X73] :
      ( pred_attacker(X73)
     => pred_attacker(tuple_client_B_in_2(X73)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f558,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f544,f556,f553,f550,f546]) ).

fof(f544,plain,
    ! [X2,X3,X1] :
      ( ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(subsumption_resolution,[],[f543,f496]) ).

fof(f496,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f227]) ).

fof(f227,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(rectify,[],[f104]) ).

fof(f104,axiom,
    ! [X23,X24] : pred_eq_bitstring_bitstring(X23,X24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f543,plain,
    ! [X2,X3,X1] :
      ( ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(subsumption_resolution,[],[f542,f496]) ).

fof(f542,plain,
    ! [X2,X3,X1] :
      ( ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(subsumption_resolution,[],[f536,f496]) ).

fof(f536,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f349,plain,
    ! [X0,X1,X2,X3] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
    inference(flattening,[],[f348]) ).

fof(f348,plain,
    ! [X0,X1,X2,X3] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
    inference(ennf_transformation,[],[f266]) ).

fof(f266,plain,
    ! [X0,X1,X2,X3] :
      ( ( pred_attacker(tuple_client_B_in_2(X3))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X1))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X2))
        & pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(rectify,[],[f185]) ).

fof(f185,axiom,
    ! [X115,X116,X117,X118] :
      ( ( pred_attacker(tuple_client_B_in_2(X118))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X118,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X116))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X116,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X117))
        & pred_eq_bitstring_bitstring(name_Nb(X115),constr_adec(X117,name_skB)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWW965+1 : TPTP v8.2.0. Released v7.4.0.
% 0.08/0.13  % Command    : run_vampire %s %d SAT
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Wed Jun 19 09:38:09 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.37  Running first-order model finding
% 0.12/0.37  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.44  % (17272)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (17280)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.22/0.44  % (17272)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (17281)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.22/0.44  % (17272)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (17282)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.22/0.44  % (17272)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (17279)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.22/0.44  % (17272)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (17276)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.22/0.44  % (17272)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (17277)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.22/0.44  % (17272)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (17278)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.22/0.44  % (17280)First to succeed.
% 0.22/0.44  Detected minimum model sizes of [14]
% 0.22/0.44  Detected maximum model sizes of [max]
% 0.22/0.44  Detected minimum model sizes of [14]
% 0.22/0.44  Detected maximum model sizes of [max]
% 0.22/0.44  % (17280)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17272"
% 0.22/0.45  Detected minimum model sizes of [14]
% 0.22/0.45  Detected maximum model sizes of [max]
% 0.22/0.45  % (17281)Also succeeded, but the first one will report.
% 0.22/0.45  % (17272)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (17280)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Theorem for theBenchmark
% 0.22/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45  % (17280)------------------------------
% 0.22/0.45  % (17280)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45  % (17280)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45  % (17280)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (17280)Memory used [KB]: 1066
% 0.22/0.45  % (17280)Time elapsed: 0.011 s
% 0.22/0.45  % (17280)Instructions burned: 12 (million)
% 0.22/0.45  % (17280)------------------------------
% 0.22/0.45  % (17280)------------------------------
% 0.22/0.45  % (17272)Success in time 0.072 s
%------------------------------------------------------------------------------