TSTP Solution File: SWW314+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW314+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 11:36:53 EDT 2024

% Result   : Theorem 11.62s 2.37s
% Output   : Refutation 11.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;   7   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f55667,plain,
    $false,
    inference(resolution,[],[f55662,f16975]) ).

fof(f16975,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(cnf_transformation,[],[f5226]) ).

fof(f5226,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f55662,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(resolution,[],[f55661,f16974]) ).

fof(f16974,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    inference(cnf_transformation,[],[f5230]) ).

fof(f5230,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

fof(f55661,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X0)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
    inference(resolution,[],[f22218,f16972]) ).

fof(f16972,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(cnf_transformation,[],[f5233]) ).

fof(f5233,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(flattening,[],[f5232]) ).

fof(f5232,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(negated_conjecture,[],[f5231]) ).

fof(f5231,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).

fof(f22218,plain,
    ! [X2,X3,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(cnf_transformation,[],[f13169]) ).

fof(f13169,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(flattening,[],[f13168]) ).

fof(f13168,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(ennf_transformation,[],[f8850]) ).

fof(f8850,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
       => c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X3,X4,X7,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X7,X4)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X7)
       => c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cut) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW314+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n009.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 19:35:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (7077)Running in auto input_syntax mode. Trying TPTP
% 0.56/0.72  % (7080)WARNING: value z3 for option sas not known
% 0.56/0.72  % (7081)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.56/0.72  % (7078)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.56/0.72  % (7080)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)
% 0.56/0.72  % (7082)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)
% 0.56/0.72  % (7083)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)
% 0.56/0.72  % (7079)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.56/0.72  % (7084)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)
% 11.62/2.36  % (7083)First to succeed.
% 11.62/2.36  % (7083)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7077"
% 11.62/2.37  % (7083)Refutation found. Thanks to Tanya!
% 11.62/2.37  % SZS status Theorem for theBenchmark
% 11.62/2.37  % SZS output start Proof for theBenchmark
% See solution above
% 11.62/2.37  % (7083)------------------------------
% 11.62/2.37  % (7083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 11.62/2.37  % (7083)Termination reason: Refutation
% 11.62/2.37  
% 11.62/2.37  % (7083)Memory used [KB]: 35716
% 11.62/2.37  % (7083)Time elapsed: 1.639 s
% 11.62/2.37  % (7083)Instructions burned: 4483 (million)
% 11.62/2.37  % (7077)Success in time 1.961 s
%------------------------------------------------------------------------------