TSTP Solution File: SWW956+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW956+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n025.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 18:47:13 EDT 2024

% Result   : Theorem 0.10s 0.40s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            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 :   65 (  28   ~;  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   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f320,plain,
    $false,
    inference(subsumption_resolution,[],[f316,f288]) ).

fof(f288,plain,
    pred_attacker(name_G_8),
    inference(resolution,[],[f239,f221]) ).

fof(f221,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',unknown) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_A_out_1(X0,X1))
      | pred_attacker(X1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,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',unknown) ).

fof(f316,plain,
    ~ pred_attacker(name_G_8),
    inference(resolution,[],[f314,f289]) ).

fof(f289,plain,
    pred_attacker(constr_mod(constr_exp(name_G_8,name_Na),name_P_7)),
    inference(resolution,[],[f222,f232]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_2(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,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',unknown) ).

fof(f222,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',unknown) ).

fof(f314,plain,
    ! [X0] :
      ( ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7))
      | ~ pred_attacker(X0) ),
    inference(subsumption_resolution,[],[f311,f157]) ).

fof(f157,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',unknown) ).

fof(f311,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7))
      | pred_attacker(name_objective) ),
    inference(resolution,[],[f308,f292]) ).

fof(f292,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',unknown) ).

fof(f242,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(flattening,[],[f141]) ).

fof(f141,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',unknown) ).

fof(f308,plain,
    ! [X0] :
      ( pred_attacker(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))
      | ~ pred_attacker(X0) ),
    inference(resolution,[],[f300,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,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',unknown) ).

fof(f300,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_in_3(X0))
      | pred_attacker(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7))) ),
    inference(resolution,[],[f235,f233]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_4(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,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',unknown) ).

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,[],[f134]) ).

fof(f134,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',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWW956+1 : TPTP v8.2.0. Released v7.4.0.
% 0.10/0.11  % Command    : run_vampire %s %d THM
% 0.10/0.31  % Computer : n025.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Wed Jun 19 04:43:24 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.33  Running first-order theorem proving
% 0.10/0.33  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.39  % (9537)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.39  % (9544)lrs-1011_4:7_sil=2000:tgt=full:bsd=on:spb=goal:nwc=5.0:updr=off:newcnf=on:i=121:kws=arity_squared:rawr=on:bsdmm=2_0 on theBenchmark for (2999ds/121Mi)
% 0.10/0.39  % (9537)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.39  % (9538)lrs-1011_16:31_bsr=on:drc=encompass:tgt=full:sp=unary_first:acc=on:updr=off:nicw=on:i=134284:sil=256000:si=on:rtra=on:to=lpo:spb=goal_then_units:nwc=5.23:urr=on:lwlo=on:fdi=20:fsd=on:awrs=decay_0 on theBenchmark for (2999ds/134284Mi)
% 0.10/0.40  % (9544)First to succeed.
% 0.10/0.40  % (9544)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9537"
% 0.10/0.40  % (9537)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.40  % (9544)Refutation found. Thanks to Tanya!
% 0.10/0.40  % SZS status Theorem for theBenchmark
% 0.10/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.40  % (9544)------------------------------
% 0.10/0.40  % (9544)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.10/0.40  % (9544)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.10/0.40  % (9544)Termination reason: Refutation
% 0.10/0.40  
% 0.10/0.40  % (9544)Memory used [KB]: 1275
% 0.10/0.40  % (9544)Time elapsed: 0.008 s
% 0.10/0.40  % (9544)Instructions burned: 10 (million)
% 0.10/0.40  % (9544)------------------------------
% 0.10/0.40  % (9544)------------------------------
% 0.10/0.40  % (9537)Success in time 0.064 s
%------------------------------------------------------------------------------