TSTP Solution File: SWW956+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW956+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 : n011.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 11:55:24 EDT 2024

% Result   : Theorem 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   44 (  14 unt;   0 def)
%            Number of atoms       :   81 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   64 (  27   ~;  23   |;   2   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f274,plain,
    $false,
    inference(resolution,[],[f273,f257]) ).

fof(f257,plain,
    pred_attacker(name_G_8),
    inference(resolution,[],[f239,f222]) ).

fof(f222,plain,
    pred_attacker(tuple_A_out_1(name_P_7,name_G_8)),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,axiom,
    pred_attacker(tuple_A_out_1(name_P_7,name_G_8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_A_out_1(X0,X1))
      | pred_attacker(X1) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( pred_attacker(X1)
      | ~ pred_attacker(tuple_A_out_1(X0,X1)) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( pred_attacker(tuple_A_out_1(X0,X1))
     => pred_attacker(X1) ),
    inference(rectify,[],[f82]) ).

fof(f82,axiom,
    ! [X32,X33] :
      ( pred_attacker(tuple_A_out_1(X32,X33))
     => pred_attacker(X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f273,plain,
    ~ pred_attacker(name_G_8),
    inference(resolution,[],[f272,f158]) ).

fof(f158,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f95]) ).

fof(f95,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f94]) ).

fof(f94,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).

fof(f272,plain,
    ( pred_attacker(name_objective)
    | ~ pred_attacker(name_G_8) ),
    inference(resolution,[],[f270,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_A_in_3(X0)) ),
    inference(rectify,[],[f83]) ).

fof(f83,axiom,
    ! [X34] :
      ( pred_attacker(X34)
     => pred_attacker(tuple_A_in_3(X34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).

fof(f270,plain,
    ( ~ pred_attacker(tuple_A_in_3(name_G_8))
    | pred_attacker(name_objective) ),
    inference(resolution,[],[f269,f258]) ).

fof(f258,plain,
    pred_attacker(constr_mod(constr_exp(name_G_8,name_Na),name_P_7)),
    inference(resolution,[],[f223,f232]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_2(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_2(X0)) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_2(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f79]) ).

fof(f79,axiom,
    ! [X27] :
      ( pred_attacker(tuple_A_out_2(X27))
     => pred_attacker(X27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).

fof(f223,plain,
    pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8,name_Na),name_P_7))),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,axiom,
    pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8,name_Na),name_P_7))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).

fof(f269,plain,
    ! [X0] :
      ( ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7))
      | ~ pred_attacker(tuple_A_in_3(X0))
      | pred_attacker(name_objective) ),
    inference(resolution,[],[f268,f261]) ).

fof(f261,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(constr_enc(X0,X1))
      | ~ pred_attacker(X1)
      | pred_attacker(X0) ),
    inference(superposition,[],[f242,f236]) ).

fof(f236,plain,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).

fof(f242,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(flattening,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(constr_dec(X0,X1)) ),
    inference(rectify,[],[f63]) ).

fof(f63,axiom,
    ! [X12,X13] :
      ( ( pred_attacker(X13)
        & pred_attacker(X12) )
     => pred_attacker(constr_dec(X12,X13)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).

fof(f268,plain,
    ! [X0] :
      ( pred_attacker(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))
      | ~ pred_attacker(tuple_A_in_3(X0)) ),
    inference(resolution,[],[f235,f233]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_4(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_4(X0)) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f77]) ).

fof(f77,axiom,
    ! [X25] :
      ( pred_attacker(tuple_A_out_4(X25))
     => pred_attacker(X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).

fof(f235,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7))))
      | ~ pred_attacker(tuple_A_in_3(X0)) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7))))
      | ~ pred_attacker(tuple_A_in_3(X0)) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))) ),
    inference(rectify,[],[f92]) ).

fof(f92,axiom,
    ! [X42] :
      ( pred_attacker(tuple_A_in_3(X42))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X42,name_Na),name_P_7)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SWW956+1 : TPTP v8.1.2. Released v7.4.0.
% 0.05/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n011.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 19:25:38 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.33  % (25825)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (25828)WARNING: value z3 for option sas not known
% 0.11/0.34  % (25826)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34  % (25832)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)
% 0.11/0.34  % (25827)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34  % (25829)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34  % (25831)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)
% 0.11/0.34  % (25828)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)
% 0.11/0.34  % (25830)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)
% 0.11/0.35  Detected minimum model sizes of [11]
% 0.11/0.35  Detected maximum model sizes of [max]
% 0.11/0.35  % (25831)First to succeed.
% 0.11/0.35  % (25831)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25825"
% 0.11/0.35  Detected minimum model sizes of [11]
% 0.11/0.35  Detected maximum model sizes of [max]
% 0.11/0.35  % (25828)Also succeeded, but the first one will report.
% 0.11/0.35  % (25831)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Theorem for theBenchmark
% 0.11/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35  % (25831)------------------------------
% 0.11/0.35  % (25831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35  % (25831)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (25831)Memory used [KB]: 913
% 0.11/0.35  % (25831)Time elapsed: 0.006 s
% 0.11/0.35  % (25831)Instructions burned: 8 (million)
% 0.11/0.35  % (25825)Success in time 0.022 s
%------------------------------------------------------------------------------