TSTP Solution File: SWW952+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW952+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n015.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 19:04:05 EDT 2024

% Result   : Theorem 46.59s 7.02s
% Output   : Refutation 46.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  103 (  35 unt;   0 def)
%            Number of atoms       :  199 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  179 (  83   ~;  65   |;   8   &)
%                                         (   3 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   9 con; 0-2 aty)
%            Number of variables   :  120 ( 120   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26297,plain,
    $false,
    inference(avatar_sat_refutation,[],[f491,f639,f817,f26296]) ).

fof(f26296,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f26295]) ).

fof(f26295,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f26294,f348]) ).

fof(f348,plain,
    pred_attacker(name_r1),
    inference(resolution,[],[f329,f309]) ).

fof(f309,plain,
    pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,axiom,
    pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f329,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_R_out_1(X0,X1))
      | pred_attacker(X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( pred_attacker(X1)
      | ~ pred_attacker(tuple_R_out_1(X0,X1)) ),
    inference(ennf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( pred_attacker(tuple_R_out_1(X0,X1))
     => pred_attacker(X1) ),
    inference(rectify,[],[f117]) ).

fof(f117,axiom,
    ! [X32,X33] :
      ( pred_attacker(tuple_R_out_1(X32,X33))
     => pred_attacker(X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f26294,plain,
    ( ~ pred_attacker(name_r1)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f26182,f460]) ).

fof(f460,plain,
    pred_attacker(name_r2_s1),
    inference(resolution,[],[f436,f331]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( pred_attacker(tuple_sess_1_out_2(X0,X1))
     => pred_attacker(X0) ),
    inference(rectify,[],[f103]) ).

fof(f103,axiom,
    ! [X15,X16] :
      ( pred_attacker(tuple_sess_1_out_2(X15,X16))
     => pred_attacker(X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f436,plain,
    pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1)))))))),
    inference(forward_demodulation,[],[f435,f328]) ).

fof(f328,plain,
    ! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
    inference(rectify,[],[f94]) ).

fof(f94,axiom,
    ! [X2,X3] : constr_xor(X2,X3) = constr_xor(X3,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f435,plain,
    pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)),constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))))))),
    inference(forward_demodulation,[],[f311,f328]) ).

fof(f311,plain,
    pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))),constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)))))),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,axiom,
    pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))),constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f26182,plain,
    ( ~ pred_attacker(name_r2_s1)
    | ~ pred_attacker(name_r1)
    | ~ spl0_2 ),
    inference(resolution,[],[f26172,f340]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_xor(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_xor(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(flattening,[],[f202]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_xor(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(constr_xor(X0,X1)) ),
    inference(rectify,[],[f96]) ).

fof(f96,axiom,
    ! [X7,X8] :
      ( ( pred_attacker(X8)
        & pred_attacker(X7) )
     => pred_attacker(constr_xor(X7,X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f26172,plain,
    ( ~ pred_attacker(constr_xor(name_r1,name_r2_s1))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f26055,f344]) ).

fof(f344,plain,
    pred_attacker(name_r1_s1),
    inference(resolution,[],[f323,f308]) ).

fof(f308,plain,
    pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,axiom,
    pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f323,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_sess_1_out_1(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_sess_1_out_1(X0)) ),
    inference(ennf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( pred_attacker(tuple_sess_1_out_1(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f106]) ).

fof(f106,axiom,
    ! [X20] :
      ( pred_attacker(tuple_sess_1_out_1(X20))
     => pred_attacker(X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f26055,plain,
    ( ~ pred_attacker(name_r1_s1)
    | ~ pred_attacker(constr_xor(name_r1,name_r2_s1))
    | ~ spl0_2 ),
    inference(resolution,[],[f25906,f994]) ).

fof(f994,plain,
    ! [X2,X0,X1] :
      ( pred_attacker(constr_xor(X2,constr_xor(X1,X0)))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(constr_xor(X2,X0)) ),
    inference(superposition,[],[f395,f328]) ).

fof(f395,plain,
    ! [X2,X0,X1] :
      ( pred_attacker(constr_xor(X0,constr_xor(X1,X2)))
      | ~ pred_attacker(X2)
      | ~ pred_attacker(constr_xor(X0,X1)) ),
    inference(superposition,[],[f340,f342]) ).

fof(f342,plain,
    ! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1,X2] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
    inference(rectify,[],[f95]) ).

fof(f95,axiom,
    ! [X4,X5,X6] : constr_xor(X4,constr_xor(X5,X6)) = constr_xor(constr_xor(X4,X5),X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f25906,plain,
    ( ~ pred_attacker(constr_xor(name_r1,constr_xor(name_r1_s1,name_r2_s1)))
    | ~ spl0_2 ),
    inference(resolution,[],[f1088,f459]) ).

fof(f459,plain,
    pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))))))),
    inference(resolution,[],[f436,f332]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
      | pred_attacker(X1) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( pred_attacker(X1)
      | ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( pred_attacker(tuple_sess_1_out_2(X0,X1))
     => pred_attacker(X1) ),
    inference(rectify,[],[f104]) ).

fof(f104,axiom,
    ! [X17,X18] :
      ( pred_attacker(tuple_sess_1_out_2(X17,X18))
     => pred_attacker(X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f1088,plain,
    ( ! [X0] :
        ( ~ pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,X0)),constr_rotate(name_ID,constr_h(constr_xor(name_k,X0))))))
        | ~ pred_attacker(constr_xor(name_r1,X0)) )
    | ~ spl0_2 ),
    inference(superposition,[],[f492,f398]) ).

fof(f398,plain,
    ! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = X1,
    inference(forward_demodulation,[],[f383,f350]) ).

fof(f350,plain,
    ! [X0] : constr_xor(constr_ZERO,X0) = X0,
    inference(superposition,[],[f328,f314]) ).

fof(f314,plain,
    ! [X0] : constr_xor(X0,constr_ZERO) = X0,
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] : constr_xor(X0,constr_ZERO) = X0,
    inference(rectify,[],[f93]) ).

fof(f93,axiom,
    ! [X1] : constr_xor(X1,constr_ZERO) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f383,plain,
    ! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = constr_xor(constr_ZERO,X1),
    inference(superposition,[],[f342,f313]) ).

fof(f313,plain,
    ! [X0] : constr_ZERO = constr_xor(X0,X0),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,axiom,
    ! [X0] : constr_ZERO = constr_xor(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f492,plain,
    ( ! [X0] :
        ( ~ pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0)))))))
        | ~ pred_attacker(X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f490,f338]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( pred_attacker(tuple_R_in_2(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( pred_attacker(tuple_R_in_2(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(flattening,[],[f198]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( pred_attacker(tuple_R_in_2(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(tuple_R_in_2(X0,X1)) ),
    inference(rectify,[],[f118]) ).

fof(f118,axiom,
    ! [X34,X35] :
      ( ( pred_attacker(X35)
        & pred_attacker(X34) )
     => pred_attacker(tuple_R_in_2(X34,X35)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f490,plain,
    ( ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0))))))))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f489,plain,
    ( spl0_2
  <=> ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0)))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f817,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f770]) ).

fof(f770,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f536,f210]) ).

fof(f210,plain,
    pred_attacker(constr_CONST_0x30),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,axiom,
    pred_attacker(constr_CONST_0x30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f536,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f535,plain,
    ( spl0_4
  <=> ! [X0] : ~ pred_attacker(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f639,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f624,f535,f485]) ).

fof(f485,plain,
    ( spl0_1
  <=> pred_attacker(tuple_R_out_4(name_objective)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f624,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | ~ pred_attacker(tuple_R_out_4(name_objective)) ),
    inference(duplicate_literal_removal,[],[f623]) ).

fof(f623,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | ~ pred_attacker(tuple_R_out_4(name_objective))
      | ~ pred_attacker(X0) ),
    inference(resolution,[],[f538,f335]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( pred_mess(X1,X0)
      | ~ pred_attacker(X0)
      | ~ pred_attacker(X1) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( pred_mess(X1,X0)
      | ~ pred_attacker(X0)
      | ~ pred_attacker(X1) ),
    inference(flattening,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( pred_mess(X1,X0)
      | ~ pred_attacker(X0)
      | ~ pred_attacker(X1) ),
    inference(ennf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X0)
        & pred_attacker(X1) )
     => pred_mess(X1,X0) ),
    inference(rectify,[],[f128]) ).

fof(f128,axiom,
    ! [X42,X43] :
      ( ( pred_attacker(X42)
        & pred_attacker(X43) )
     => pred_mess(X43,X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f538,plain,
    ! [X0] :
      ( ~ pred_mess(X0,tuple_R_out_4(name_objective))
      | ~ pred_attacker(X0) ),
    inference(resolution,[],[f363,f206]) ).

fof(f206,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f139]) ).

fof(f139,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f138]) ).

fof(f138,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f363,plain,
    ! [X0,X1] :
      ( pred_attacker(X1)
      | ~ pred_mess(X0,tuple_R_out_4(X1))
      | ~ pred_attacker(X0) ),
    inference(resolution,[],[f341,f324]) ).

fof(f324,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_R_out_4(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_R_out_4(X0)) ),
    inference(ennf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( pred_attacker(tuple_R_out_4(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f112]) ).

fof(f112,axiom,
    ! [X25] :
      ( pred_attacker(tuple_R_out_4(X25))
     => pred_attacker(X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f341,plain,
    ! [X0,X1] :
      ( pred_attacker(X0)
      | ~ pred_attacker(X1)
      | ~ pred_mess(X1,X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( pred_attacker(X0)
      | ~ pred_attacker(X1)
      | ~ pred_mess(X1,X0) ),
    inference(flattening,[],[f204]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( pred_attacker(X0)
      | ~ pred_attacker(X1)
      | ~ pred_mess(X1,X0) ),
    inference(ennf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_mess(X1,X0) )
     => pred_attacker(X0) ),
    inference(rectify,[],[f127]) ).

fof(f127,axiom,
    ! [X40,X41] :
      ( ( pred_attacker(X41)
        & pred_mess(X41,X40) )
     => pred_attacker(X40) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f491,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f462,f489,f485]) ).

fof(f462,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0))))))))
      | pred_attacker(tuple_R_out_4(name_objective)) ),
    inference(forward_demodulation,[],[f461,f328]) ).

fof(f461,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(constr_xor(name_r1,X0),name_k)),constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))))
      | pred_attacker(tuple_R_out_4(name_objective)) ),
    inference(forward_demodulation,[],[f326,f328]) ).

fof(f326,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
      | pred_attacker(tuple_R_out_4(name_objective)) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0] :
      ( pred_attacker(tuple_R_out_4(name_objective))
      | ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))) ),
    inference(ennf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
     => pred_attacker(tuple_R_out_4(name_objective)) ),
    inference(rectify,[],[f137]) ).

fof(f137,axiom,
    ! [X47] :
      ( pred_attacker(tuple_R_in_2(X47,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X47),name_k))),constr_h(constr_xor(constr_xor(name_r1,X47),name_k))))))
     => pred_attacker(tuple_R_out_4(name_objective)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW952+1 : TPTP v8.2.0. Released v7.4.0.
% 0.07/0.12  % Command    : run_vampire %s %d SAT
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Wed Jun 19 08:09:54 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  Running first-order model finding
% 0.13/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (12037)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.22/0.43  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (12035)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.22/0.43  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (12041)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)
% 0.22/0.43  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (12040)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)
% 0.22/0.43  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (12038)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)
% 0.22/0.43  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (12039)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.22/0.43  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (12036)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)
% 0.22/0.43  Detected minimum model sizes of [14]
% 0.22/0.43  Detected maximum model sizes of [max]
% 0.22/0.43  Detected minimum model sizes of [14]
% 0.22/0.43  Detected maximum model sizes of [max]
% 0.22/0.43  Detected minimum model sizes of [14]
% 0.22/0.43  Detected maximum model sizes of [max]
% 0.22/0.46  TRYING [14]
% 0.22/0.46  TRYING [14]
% 0.22/0.48  % (12041)Instruction limit reached!
% 0.22/0.48  % (12041)------------------------------
% 0.22/0.48  % (12041)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (12041)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (12041)Termination reason: Time limit
% 0.22/0.48  % (12041)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (12041)Memory used [KB]: 1206
% 0.22/0.48  % (12041)Time elapsed: 0.053 s
% 0.22/0.48  % (12041)Instructions burned: 117 (million)
% 0.22/0.48  % (12039)Instruction limit reached!
% 0.22/0.48  % (12039)------------------------------
% 0.22/0.48  % (12039)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (12039)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (12039)Termination reason: Time limit
% 0.22/0.48  % (12039)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (12039)Memory used [KB]: 1922
% 0.22/0.48  % (12039)Time elapsed: 0.061 s
% 0.22/0.48  % (12039)Instructions burned: 104 (million)
% 0.22/0.51  % (12040)Instruction limit reached!
% 0.22/0.51  % (12040)------------------------------
% 0.22/0.51  % (12040)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51  % (12040)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51  % (12040)Termination reason: Time limit
% 0.22/0.51  % (12040)Termination phase: Saturation
% 0.22/0.51  
% 0.22/0.51  % (12040)Memory used [KB]: 2564
% 0.22/0.51  % (12040)Time elapsed: 0.086 s
% 0.22/0.51  % (12040)Instructions burned: 147 (million)
% 0.22/0.51  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51  % (12042)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.22/0.52  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52  % (12043)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.22/0.55  TRYING [23]
% 0.22/0.55  % (12034)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.55  % (12044)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.22/0.57  % (12043)Instruction limit reached!
% 0.22/0.57  % (12043)------------------------------
% 0.22/0.57  % (12043)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.57  % (12043)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.57  % (12043)Termination reason: Time limit
% 0.22/0.57  % (12043)Termination phase: Saturation
% 0.22/0.57  
% 0.22/0.57  % (12043)Memory used [KB]: 1159
% 0.22/0.57  % (12043)Time elapsed: 0.046 s
% 0.22/0.57  % (12043)Instructions burned: 178 (million)
% 1.67/0.60  % (12034)Running in auto input_syntax mode. Trying TPTP
% 1.67/0.60  % (12045)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.93/0.63  % (12042)Instruction limit reached!
% 1.93/0.63  % (12042)------------------------------
% 1.93/0.63  % (12042)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.63  % (12042)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.63  % (12042)Termination reason: Time limit
% 1.93/0.63  % (12042)Termination phase: Saturation
% 1.93/0.63  
% 1.93/0.63  % (12042)Memory used [KB]: 3270
% 1.93/0.63  % (12042)Time elapsed: 0.121 s
% 1.93/0.63  % (12042)Instructions burned: 404 (million)
% 1.93/0.64  % (12044)Instruction limit reached!
% 1.93/0.64  % (12044)------------------------------
% 1.93/0.64  % (12044)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.64  % (12044)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.64  % (12044)Termination reason: Time limit
% 1.93/0.64  % (12044)Termination phase: Saturation
% 1.93/0.64  
% 1.93/0.64  % (12044)Memory used [KB]: 6540
% 1.93/0.64  % (12044)Time elapsed: 0.092 s
% 1.93/0.64  % (12044)Instructions burned: 271 (million)
% 1.93/0.67  % (12034)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.67  % (12046)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.93/0.67  Detected minimum model sizes of [14]
% 1.93/0.67  Detected maximum model sizes of [max]
% 1.93/0.67  % (12034)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.67  % (12047)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 1.93/0.69  TRYING [14]
% 3.23/0.87  % (12045)Instruction limit reached!
% 3.23/0.87  % (12045)------------------------------
% 3.23/0.87  % (12045)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.23/0.87  % (12045)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.23/0.87  % (12045)Termination reason: Time limit
% 3.23/0.87  % (12045)Termination phase: Saturation
% 3.23/0.87  
% 3.23/0.87  % (12045)Memory used [KB]: 9800
% 3.23/0.87  % (12045)Time elapsed: 0.274 s
% 3.23/0.87  % (12045)Instructions burned: 904 (million)
% 3.36/0.91  % (12034)Running in auto input_syntax mode. Trying TPTP
% 3.36/0.91  % (12048)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2995ds/1187Mi)
% 6.13/1.25  % (12047)Instruction limit reached!
% 6.13/1.25  % (12047)------------------------------
% 6.13/1.25  % (12047)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.13/1.25  % (12047)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.13/1.25  % (12047)Termination reason: Time limit
% 6.13/1.25  % (12047)Termination phase: Saturation
% 6.13/1.25  
% 6.13/1.25  % (12047)Memory used [KB]: 8813
% 6.13/1.25  % (12047)Time elapsed: 0.582 s
% 6.13/1.25  % (12047)Instructions burned: 2145 (million)
% 6.13/1.29  % (12034)Running in auto input_syntax mode. Trying TPTP
% 6.13/1.29  % (12116)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2991ds/23580Mi)
% 6.13/1.29  Detected minimum model sizes of [14]
% 6.13/1.29  Detected maximum model sizes of [max]
% 6.67/1.31  TRYING [14]
% 6.67/1.32  % (12048)Instruction limit reached!
% 6.67/1.32  % (12048)------------------------------
% 6.67/1.32  % (12048)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.67/1.32  % (12048)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.67/1.32  % (12048)Termination reason: Time limit
% 6.67/1.32  % (12048)Termination phase: Saturation
% 6.67/1.32  
% 6.67/1.32  % (12048)Memory used [KB]: 20636
% 6.67/1.32  % (12048)Time elapsed: 0.438 s
% 6.67/1.32  % (12048)Instructions burned: 1188 (million)
% 6.67/1.36  % (12034)Running in auto input_syntax mode. Trying TPTP
% 6.67/1.36  % (12182)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2990ds/2892Mi)
% 6.67/1.36  Detected minimum model sizes of [14]
% 6.67/1.36  Detected maximum model sizes of [max]
% 7.07/1.40  TRYING [17]
% 11.40/2.01  % (12182)Instruction limit reached!
% 11.40/2.01  % (12182)------------------------------
% 11.40/2.01  % (12182)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.40/2.01  % (12182)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.40/2.01  % (12182)Termination reason: Time limit
% 11.40/2.01  % (12182)Termination phase: Finite model building constraint generation
% 11.40/2.01  
% 11.40/2.01  % (12182)Memory used [KB]: 198894
% 11.40/2.01  % (12182)Time elapsed: 0.651 s
% 11.40/2.01  % (12182)Instructions burned: 2892 (million)
% 11.40/2.06  % (12034)Running in auto input_syntax mode. Trying TPTP
% 11.40/2.06  % (12245)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2983ds/1693Mi)
% 15.68/2.64  % (12245)Instruction limit reached!
% 15.68/2.64  % (12245)------------------------------
% 15.68/2.64  % (12245)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.68/2.64  % (12245)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.68/2.64  % (12245)Termination reason: Time limit
% 15.68/2.64  % (12245)Termination phase: Saturation
% 15.68/2.64  
% 15.68/2.64  % (12245)Memory used [KB]: 8041
% 15.68/2.64  % (12245)Time elapsed: 0.594 s
% 15.68/2.64  % (12245)Instructions burned: 1693 (million)
% 15.68/2.67  % (12034)Running in auto input_syntax mode. Trying TPTP
% 15.68/2.67  % (12246)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2977ds/1735Mi)
% 16.42/2.71  % (12046)Instruction limit reached!
% 16.42/2.71  % (12046)------------------------------
% 16.42/2.71  % (12046)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.42/2.71  % (12046)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.42/2.71  % (12046)Termination reason: Time limit
% 16.42/2.71  % (12046)Termination phase: Finite model building SAT solving
% 16.42/2.71  
% 16.42/2.71  % (12046)Memory used [KB]: 84569
% 16.42/2.71  % (12046)Time elapsed: 2.038 s
% 16.42/2.71  % (12046)Instructions burned: 7860 (million)
% 16.54/2.76  % (12034)Running in auto input_syntax mode. Trying TPTP
% 16.54/2.76  % (12247)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2976ds/131798Mi)
% 16.54/2.76  Detected minimum model sizes of [14,14]
% 16.54/2.76  Detected maximum model sizes of [max,max]
% 16.54/2.78  TRYING [14,14]
% 20.02/3.31  % (12246)Instruction limit reached!
% 20.02/3.31  % (12246)------------------------------
% 20.02/3.31  % (12246)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.02/3.31  % (12246)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.02/3.31  % (12246)Termination reason: Time limit
% 20.02/3.31  % (12246)Termination phase: Saturation
% 20.02/3.31  
% 20.02/3.31  % (12246)Memory used [KB]: 7970
% 20.02/3.31  % (12246)Time elapsed: 0.631 s
% 20.02/3.31  % (12246)Instructions burned: 1736 (million)
% 20.02/3.35  % (12034)Running in auto input_syntax mode. Trying TPTP
% 20.02/3.35  % (12248)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2970ds/3451Mi)
% 20.02/3.35  Detected minimum model sizes of [14]
% 20.02/3.35  Detected maximum model sizes of [max]
% 20.02/3.38  TRYING [16]
% 26.84/4.23  % (12248)Instruction limit reached!
% 26.84/4.23  % (12248)------------------------------
% 26.84/4.23  % (12248)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 26.84/4.23  % (12248)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 26.84/4.23  % (12248)Termination reason: Time limit
% 26.84/4.23  % (12248)Termination phase: Finite model building constraint generation
% 26.84/4.23  
% 26.84/4.23  % (12248)Memory used [KB]: 157823
% 26.84/4.23  % (12248)Time elapsed: 0.881 s
% 26.84/4.23  % (12248)Instructions burned: 3453 (million)
% 27.41/4.27  % (12034)Running in auto input_syntax mode. Trying TPTP
% 27.41/4.27  % (12409)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2961ds/3978Mi)
% 35.24/5.39  % (12409)Instruction limit reached!
% 35.24/5.39  % (12409)------------------------------
% 35.24/5.39  % (12409)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 35.24/5.39  % (12409)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 35.24/5.39  % (12409)Termination reason: Time limit
% 35.24/5.39  % (12409)Termination phase: Saturation
% 35.24/5.39  
% 35.24/5.39  % (12409)Memory used [KB]: 11667
% 35.24/5.39  % (12409)Time elapsed: 1.113 s
% 35.24/5.39  % (12409)Instructions burned: 3981 (million)
% 35.24/5.42  % (12034)Running in auto input_syntax mode. Trying TPTP
% 35.24/5.42  % (12485)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2949ds/33091Mi)
% 41.69/6.39  % (12116)Instruction limit reached!
% 41.69/6.39  % (12116)------------------------------
% 41.69/6.39  % (12116)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 41.69/6.39  % (12116)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 41.69/6.39  % (12116)Termination reason: Time limit
% 41.69/6.39  % (12116)Termination phase: Finite model building SAT solving
% 41.69/6.39  
% 41.69/6.39  % (12116)Memory used [KB]: 83757
% 41.69/6.39  % (12116)Time elapsed: 5.124 s
% 41.69/6.39  % (12116)Instructions burned: 23583 (million)
% 42.37/6.46  % (12034)Running in auto input_syntax mode. Trying TPTP
% 42.37/6.46  % (12486)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2939ds/9564Mi)
% 43.61/6.61  TRYING [15]
% 46.59/7.01  % (12486)First to succeed.
% 46.59/7.02  % (12486)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12034"
% 46.59/7.02  % (12034)Running in auto input_syntax mode. Trying TPTP
% 46.59/7.02  % (12486)Refutation found. Thanks to Tanya!
% 46.59/7.02  % SZS status Theorem for theBenchmark
% 46.59/7.02  % SZS output start Proof for theBenchmark
% See solution above
% 46.59/7.02  % (12486)------------------------------
% 46.59/7.02  % (12486)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 46.59/7.02  % (12486)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 46.59/7.02  % (12486)Termination reason: Refutation
% 46.59/7.02  
% 46.59/7.02  % (12486)Memory used [KB]: 8715
% 46.59/7.02  % (12486)Time elapsed: 0.554 s
% 46.59/7.02  % (12486)Instructions burned: 1766 (million)
% 46.59/7.02  % (12486)------------------------------
% 46.59/7.02  % (12486)------------------------------
% 46.59/7.02  % (12034)Success in time 6.636 s
%------------------------------------------------------------------------------