TSTP Solution File: SWW956+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW956+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n014.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 : Wed Aug 31 19:25:05 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   46 (  16 unt;   0 def)
%            Number of atoms       :   83 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   66 (  29   ~;  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   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f306,plain,
    $false,
    inference(subsumption_resolution,[],[f305,f275]) ).

fof(f275,plain,
    pred_attacker(name_G_8),
    inference(resolution,[],[f199,f213]) ).

fof(f213,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/sandbox/benchmark/theBenchmark.p',ax89) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_A_out_1(X1,X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_A_out_1(X1,X0))
      | pred_attacker(X0) ),
    inference(rectify,[],[f150]) ).

fof(f150,plain,
    ! [X1,X0] :
      ( ~ pred_attacker(tuple_A_out_1(X0,X1))
      | pred_attacker(X1) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f123,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/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f305,plain,
    ~ pred_attacker(name_G_8),
    inference(resolution,[],[f300,f195]) ).

fof(f195,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_A_in_3(X0)) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,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/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(f300,plain,
    ~ pred_attacker(tuple_A_in_3(name_G_8)),
    inference(resolution,[],[f299,f276]) ).

fof(f276,plain,
    pred_attacker(constr_mod(constr_exp(name_G_8,name_Na),name_P_7)),
    inference(resolution,[],[f184,f249]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_2(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_2(X0)) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,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/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(f184,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/sandbox/benchmark/theBenchmark.p',ax90) ).

fof(f299,plain,
    ! [X0] :
      ( ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7))
      | ~ pred_attacker(tuple_A_in_3(X0)) ),
    inference(subsumption_resolution,[],[f296,f178]) ).

fof(f178,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,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/sandbox/benchmark/theBenchmark.p',co0) ).

fof(f296,plain,
    ! [X0] :
      ( pred_attacker(name_objective)
      | ~ pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7)) ),
    inference(resolution,[],[f287,f283]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(constr_enc(X0,X1))
      | pred_attacker(X0)
      | ~ pred_attacker(X1) ),
    inference(superposition,[],[f223,f230]) ).

fof(f230,plain,
    ! [X0,X1] : constr_dec(constr_enc(X0,X1),X1) = X0,
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] : constr_dec(constr_enc(X0,X1),X1) = X0,
    inference(rectify,[],[f56]) ).

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

fof(f223,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X1,X0))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_dec(X1,X0)) ),
    inference(flattening,[],[f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X1,X0))
      | ~ pred_attacker(X0)
      | ~ pred_attacker(X1) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X0)
        & pred_attacker(X1) )
     => pred_attacker(constr_dec(X1,X0)) ),
    inference(rectify,[],[f63]) ).

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

fof(f287,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,[],[f236,f233]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_4(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_4(X0))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f122]) ).

fof(f122,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/sandbox/benchmark/theBenchmark.p',ax76) ).

fof(f236,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,[],[f127]) ).

fof(f127,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,[],[f100]) ).

fof(f100,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/sandbox/benchmark/theBenchmark.p',ax91) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWW956+1 : TPTP v8.1.0. Released v7.4.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:18:48 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.20/0.48  % (30360)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (30372)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49  % (30380)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.49  % (30357)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (30366)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (30353)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.49  % (30360)First to succeed.
% 0.20/0.49  % (30379)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50  % (30362)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (30374)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51  % (30360)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (30360)------------------------------
% 0.20/0.51  % (30360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (30360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (30360)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (30360)Memory used [KB]: 5628
% 0.20/0.51  % (30360)Time elapsed: 0.096 s
% 0.20/0.51  % (30360)Instructions burned: 6 (million)
% 0.20/0.51  % (30360)------------------------------
% 0.20/0.51  % (30360)------------------------------
% 0.20/0.51  % (30352)Success in time 0.167 s
%------------------------------------------------------------------------------