TSTP Solution File: SWW955+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% 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 : Sun May  5 11:55:23 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   55 (  18 unt;   0 def)
%            Number of atoms       :  100 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   79 (  34   ~;  29   |;   2   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f295,plain,
    $false,
    inference(resolution,[],[f251,f196]) ).

fof(f196,plain,
    ! [X0] : pred_attacker(name_new0x2Dname(X0)),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] : pred_attacker(name_new0x2Dname(X0)),
    inference(rectify,[],[f77]) ).

fof(f77,axiom,
    ! [X31] : pred_attacker(name_new0x2Dname(X31)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

fof(f251,plain,
    ! [X0] : ~ pred_attacker(X0),
    inference(resolution,[],[f250,f239]) ).

fof(f239,plain,
    pred_attacker(name_m_9),
    inference(resolution,[],[f237,f226]) ).

fof(f226,plain,
    pred_attacker(constr_comm_enc(name_m_9,name_Ka)),
    inference(resolution,[],[f208,f195]) ).

fof(f195,plain,
    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).

fof(f208,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_1(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_1(X0)) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_1(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f70]) ).

fof(f70,axiom,
    ! [X23] :
      ( pred_attacker(tuple_A_out_1(X23))
     => pred_attacker(X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

fof(f237,plain,
    ! [X0] :
      ( ~ pred_attacker(constr_comm_enc(X0,name_Ka))
      | pred_attacker(X0) ),
    inference(resolution,[],[f236,f203]) ).

fof(f203,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_A_in_2(X0)) ),
    inference(rectify,[],[f71]) ).

fof(f71,axiom,
    ! [X24] :
      ( pred_attacker(X24)
     => pred_attacker(tuple_A_in_2(X24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

fof(f236,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_in_2(constr_comm_enc(X0,name_Ka)))
      | pred_attacker(X0) ),
    inference(superposition,[],[f234,f215]) ).

fof(f215,plain,
    ! [X0,X1] : constr_comm_dec(constr_comm_enc(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] : constr_comm_dec(constr_comm_enc(X1,X0),X0) = X1,
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X2,X3] : constr_comm_dec(constr_comm_enc(X3,X2),X2) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

fof(f234,plain,
    ! [X0] :
      ( pred_attacker(constr_comm_dec(X0,name_Ka))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(resolution,[],[f213,f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_3(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_3(X0)) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_3(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f68]) ).

fof(f68,axiom,
    ! [X21] :
      ( pred_attacker(tuple_A_out_3(X21))
     => pred_attacker(X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

fof(f213,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka)))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka)))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_2(X0))
     => pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka))) ),
    inference(rectify,[],[f79]) ).

fof(f79,axiom,
    ! [X32] :
      ( pred_attacker(tuple_A_in_2(X32))
     => pred_attacker(tuple_A_out_3(constr_comm_dec(X32,name_Ka))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(f250,plain,
    ! [X0] :
      ( ~ pred_attacker(name_m_9)
      | ~ pred_attacker(X0) ),
    inference(resolution,[],[f249,f141]) ).

fof(f141,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f83]) ).

fof(f83,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f82]) ).

fof(f82,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

fof(f249,plain,
    ! [X0] :
      ( pred_attacker(name_objective)
      | ~ pred_attacker(name_m_9)
      | ~ pred_attacker(X0) ),
    inference(resolution,[],[f246,f203]) ).

fof(f246,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_in_2(X0))
      | pred_attacker(name_objective)
      | ~ pred_attacker(name_m_9) ),
    inference(resolution,[],[f238,f233]) ).

fof(f233,plain,
    ! [X0] :
      ( pred_attacker(constr_enc(name_objective,name_m_9))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(resolution,[],[f212,f205]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_4(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_4(X0)) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f66]) ).

fof(f66,axiom,
    ! [X19] :
      ( pred_attacker(tuple_A_out_4(X19))
     => pred_attacker(X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

fof(f212,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_2(X0))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
    inference(rectify,[],[f80]) ).

fof(f80,axiom,
    ! [X33] :
      ( pred_attacker(tuple_A_in_2(X33))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(constr_enc(X0,X1))
      | ~ pred_attacker(X1)
      | pred_attacker(X0) ),
    inference(superposition,[],[f217,f214]) ).

fof(f214,plain,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(f217,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(constr_dec(X0,X1)) ),
    inference(rectify,[],[f51]) ).

fof(f51,axiom,
    ! [X6,X7] :
      ( ( pred_attacker(X7)
        & pred_attacker(X6) )
     => pred_attacker(constr_dec(X6,X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 19:36:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (9648)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (9651)WARNING: value z3 for option sas not known
% 0.15/0.38  % (9649)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (9650)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (9651)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (9652)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (9655)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38  % (9654)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (9653)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_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  Detected minimum model sizes of [10]
% 0.15/0.38  Detected maximum model sizes of [max]
% 0.15/0.38  % (9654)First to succeed.
% 0.15/0.38  TRYING [10]
% 0.15/0.38  Detected minimum model sizes of [10]
% 0.15/0.38  Detected maximum model sizes of [max]
% 0.15/0.38  % (9654)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9648"
% 0.15/0.38  % (9651)Also succeeded, but the first one will report.
% 0.15/0.38  Detected minimum model sizes of [10]
% 0.15/0.38  Detected maximum model sizes of [max]
% 0.15/0.38  % (9654)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (9654)------------------------------
% 0.15/0.38  % (9654)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (9654)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (9654)Memory used [KB]: 909
% 0.15/0.38  % (9654)Time elapsed: 0.007 s
% 0.15/0.38  % (9654)Instructions burned: 8 (million)
% 0.15/0.38  % (9648)Success in time 0.02 s
%------------------------------------------------------------------------------