TSTP Solution File: SWW963+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW963+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n016.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 19:04:07 EDT 2024

% Result   : Theorem 0.10s 0.30s
% Output   : Refutation 0.10s
% 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    :   16 (  16 usr;   5 con; 0-2 aty)
%            Number of variables   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f809,plain,
    $false,
    inference(avatar_sat_refutation,[],[f629,f684,f739,f794,f808]) ).

fof(f808,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f807]) ).

fof(f807,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f806,f404]) ).

fof(f404,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f197]) ).

fof(f197,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f196]) ).

fof(f196,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f806,plain,
    ( pred_attacker(name_objective)
    | ~ spl0_1 ),
    inference(resolution,[],[f531,f619]) ).

fof(f619,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f617,plain,
    ( spl0_1
  <=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f531,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_6(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f327,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_B_out_6(X0)) ),
    inference(ennf_transformation,[],[f230]) ).

fof(f230,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_6(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f134]) ).

fof(f134,axiom,
    ! [X109] :
      ( pred_attacker(tuple_client_B_out_6(X109))
     => pred_attacker(X109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f794,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f741]) ).

fof(f741,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f740,f407]) ).

fof(f407,plain,
    pred_attacker(constr_CONST_0x30),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,axiom,
    pred_attacker(constr_CONST_0x30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f740,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_4 ),
    inference(resolution,[],[f628,f516]) ).

fof(f516,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_5(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f312,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_5(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(rectify,[],[f140]) ).

fof(f140,axiom,
    ! [X118] :
      ( pred_attacker(X118)
     => pred_attacker(tuple_client_B_in_5(X118)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f628,plain,
    ( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f627,plain,
    ( spl0_4
  <=> ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f739,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f686]) ).

fof(f686,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f685,f407]) ).

fof(f685,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_3 ),
    inference(resolution,[],[f625,f519]) ).

fof(f519,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f315]) ).

fof(f315,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_3(X0)) ),
    inference(rectify,[],[f142]) ).

fof(f142,axiom,
    ! [X120] :
      ( pred_attacker(X120)
     => pred_attacker(tuple_client_B_in_3(X120)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f625,plain,
    ( ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f624,plain,
    ( spl0_3
  <=> ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f684,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f631]) ).

fof(f631,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f630,f407]) ).

fof(f630,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_2 ),
    inference(resolution,[],[f520,f622]) ).

fof(f622,plain,
    ( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f621,plain,
    ( spl0_2
  <=> ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f520,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f316]) ).

fof(f316,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_2(X0)) ),
    inference(rectify,[],[f144]) ).

fof(f144,axiom,
    ! [X122] :
      ( pred_attacker(X122)
     => pred_attacker(tuple_client_B_in_2(X122)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f629,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f615,f627,f624,f621,f617]) ).

fof(f615,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,[],[f614,f537]) ).

fof(f537,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f236]) ).

fof(f236,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(rectify,[],[f96]) ).

fof(f96,axiom,
    ! [X49,X50] : pred_eq_bitstring_bitstring(X49,X50),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f614,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,[],[f613,f537]) ).

fof(f613,plain,
    ! [X2,X3,X1] :
      ( ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(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,[],[f595,f537]) ).

fof(f595,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(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,[],[f401]) ).

fof(f401,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_ecb_dec_2(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB)) ),
    inference(flattening,[],[f400]) ).

fof(f400,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_ecb_dec_2(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB)) ),
    inference(ennf_transformation,[],[f293]) ).

fof(f293,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_ecb_dec_2(X1,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X2))
        & pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(rectify,[],[f193]) ).

fof(f193,axiom,
    ! [X192,X193,X194,X195] :
      ( ( pred_attacker(tuple_client_B_in_2(X195))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X195,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X193))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X193,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X194))
        & pred_eq_bitstring_bitstring(name_Nb(X192),constr_ecb_dec_1(X194,name_skB)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06  % Problem    : SWW963+1 : TPTP v8.2.0. Released v7.4.0.
% 0.04/0.06  % Command    : run_vampire %s %d SAT
% 0.06/0.25  % Computer : n016.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit   : 300
% 0.06/0.25  % WCLimit    : 300
% 0.06/0.25  % DateTime   : Wed Jun 19 04:19:53 EDT 2024
% 0.06/0.25  % CPUTime    : 
% 0.10/0.26  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.26  Running first-order model finding
% 0.10/0.26  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30  % (32100)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (32106)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 (3000ds/146Mi)
% 0.10/0.30  % (32100)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (32104)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 (3000ds/152523Mi)
% 0.10/0.30  % (32100)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (32105)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.10/0.30  % (32100)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (32101)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.10/0.30  % (32100)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (32103)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.10/0.30  % (32100)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (32107)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 (3000ds/115Mi)
% 0.10/0.30  % (32100)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (32102)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 (3000ds/99418Mi)
% 0.10/0.30  % (32105)First to succeed.
% 0.10/0.30  % (32105)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32100"
% 0.10/0.30  Detected minimum model sizes of [13]
% 0.10/0.30  Detected maximum model sizes of [max]
% 0.10/0.30  Detected minimum model sizes of [13]
% 0.10/0.30  Detected maximum model sizes of [max]
% 0.10/0.30  % (32100)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.30  % (32105)Refutation found. Thanks to Tanya!
% 0.10/0.30  % SZS status Theorem for theBenchmark
% 0.10/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.30  % (32105)------------------------------
% 0.10/0.30  % (32105)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.10/0.30  % (32105)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.10/0.30  % (32105)Termination reason: Refutation
% 0.10/0.30  
% 0.10/0.30  % (32105)Memory used [KB]: 1073
% 0.10/0.30  % (32105)Time elapsed: 0.006 s
% 0.10/0.30  % (32105)Instructions burned: 14 (million)
% 0.10/0.30  % (32105)------------------------------
% 0.10/0.30  % (32105)------------------------------
% 0.10/0.30  % (32100)Success in time 0.039 s
%------------------------------------------------------------------------------