TSTP Solution File: SWW311+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW311+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 : n031.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 : Tue Apr 30 17:30:40 EDT 2024

% Result   : Theorem 37.74s 6.14s
% Output   : Refutation 37.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   44 (  20   ~;  10   |;   4   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   39 (  37   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f136239,plain,
    $false,
    inference(resolution,[],[f136236,f16946]) ).

fof(f16946,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK87)),
    inference(cnf_transformation,[],[f14669]) ).

fof(f14669,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK87,v_ts)
    & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK87)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK87])],[f10308,f14668]) ).

fof(f14668,plain,
    ( ? [X0] :
        ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
        & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0)) )
   => ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK87,v_ts)
      & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK87)) ) ),
    introduced(choice_axiom,[]) ).

fof(f10308,plain,
    ? [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
      & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0)) ),
    inference(ennf_transformation,[],[f5225]) ).

fof(f5225,plain,
    ~ ! [X0] :
        ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0))
       => c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
    inference(rectify,[],[f5224]) ).

fof(f5224,negated_conjecture,
    ~ ! [X281] :
        ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X281))
       => c_Hoare__Mirabelle_Ohoare__derivs(t_a,X281,v_ts) ),
    inference(negated_conjecture,[],[f5223]) ).

fof(f5223,conjecture,
    ! [X281] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X281))
     => c_Hoare__Mirabelle_Ohoare__derivs(t_a,X281,v_ts) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f136236,plain,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK87)),
    inference(resolution,[],[f136097,f16948]) ).

fof(f16948,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(cnf_transformation,[],[f5222]) ).

fof(f5222,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f136097,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X0),sK87)) ),
    inference(resolution,[],[f20869,f55966]) ).

fof(f55966,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK87,X0)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
    inference(resolution,[],[f22201,f16947]) ).

fof(f16947,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK87,v_ts),
    inference(cnf_transformation,[],[f14669]) ).

fof(f22201,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,[],[f13198]) ).

fof(f13198,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,[],[f13197]) ).

fof(f13197,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,[],[f8858]) ).

fof(f8858,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/sandbox2/benchmark/theBenchmark.p',fact_cut) ).

fof(f20869,plain,
    ! [X2,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
    inference(cnf_transformation,[],[f12411]) ).

fof(f12411,plain,
    ! [X0,X1,X2] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
    inference(ennf_transformation,[],[f7978]) ).

fof(f7978,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
     => c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X4,X5] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X4),X3))
     => c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_asm) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW311+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34  % Computer : n031.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue Apr 30 03:45:28 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (1442)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.77  % (1497)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.57/0.78  % (1500)WARNING: value z3 for option sas not known
% 0.57/0.78  % (1498)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.57/0.78  % (1500)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)
% 0.57/0.78  % (1503)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)
% 0.57/0.78  % (1505)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)
% 0.57/0.78  % (1504)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)
% 0.57/0.78  % (1502)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 37.74/6.12  % (1504)First to succeed.
% 37.74/6.14  % (1504)Refutation found. Thanks to Tanya!
% 37.74/6.14  % SZS status Theorem for theBenchmark
% 37.74/6.14  % SZS output start Proof for theBenchmark
% See solution above
% 37.74/6.14  % (1504)------------------------------
% 37.74/6.14  % (1504)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 37.74/6.14  % (1504)Termination reason: Refutation
% 37.74/6.14  
% 37.74/6.14  % (1504)Memory used [KB]: 56539
% 37.74/6.14  % (1504)Time elapsed: 5.354 s
% 37.74/6.14  % (1504)Instructions burned: 9015 (million)
% 37.74/6.14  % (1504)------------------------------
% 37.74/6.14  % (1504)------------------------------
% 37.74/6.14  % (1442)Success in time 5.786 s
%------------------------------------------------------------------------------