TSTP Solution File: SWV857-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 17:07:16 EDT 2024

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  13   ~;   8   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2160,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1085,f1906,f1863,f598]) ).

fof(f598,plain,
    ! [X11,X19,X20] :
      ( ~ sP5(X19,X20)
      | hBOOL(hAPP(X20,X11))
      | ~ hBOOL(hAPP(X19,X11)) ),
    inference(general_splitting,[],[f527,f597_D]) ).

fof(f597,plain,
    ! [X2,X19,X20] :
      ( ~ c_lessequals(X19,X20,tc_fun(X2,tc_bool))
      | sP5(X19,X20) ),
    inference(cnf_transformation,[],[f597_D]) ).

fof(f597_D,plain,
    ! [X20,X19] :
      ( ! [X2] : ~ c_lessequals(X19,X20,tc_fun(X2,tc_bool))
    <=> ~ sP5(X19,X20) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f527,axiom,
    ! [X2,X11,X19,X20] :
      ( ~ hBOOL(hAPP(X19,X11))
      | hBOOL(hAPP(X20,X11))
      | ~ c_lessequals(X19,X20,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).

fof(f1863,plain,
    ~ hBOOL(hAPP(v_Ga,v_xa)),
    inference(unit_resulting_resolution,[],[f1333,f542]) ).

fof(f542,axiom,
    ! [X2,X28,X11] :
      ( ~ hBOOL(hAPP(X28,X11))
      | hBOOL(hAPP(hAPP(c_in(X2),X11),X28)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f1333,plain,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_Ga)),
    inference(unit_resulting_resolution,[],[f547,f548]) ).

fof(f548,axiom,
    ! [X50] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X50),v_Ga))
      | c_Hoare__Mirabelle_Otriple__valid(v_x,X50,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f547,axiom,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1906,plain,
    hBOOL(hAPP(v_tsa,v_xa)),
    inference(unit_resulting_resolution,[],[f546,f543]) ).

fof(f543,axiom,
    ! [X2,X28,X11] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X2),X11),X28))
      | hBOOL(hAPP(X28,X11)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f546,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1085,plain,
    sP5(v_tsa,v_Ga),
    inference(unit_resulting_resolution,[],[f545,f597]) ).

fof(f545,axiom,
    c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV857-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 04:41:42 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (25686)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40  % (25689)WARNING: value z3 for option sas not known
% 0.20/0.40  % (25687)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.40  % (25690)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.40  % (25688)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.40  % (25689)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)
% 0.20/0.40  % (25692)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)
% 0.20/0.40  % (25691)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)
% 0.20/0.40  % (25693)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)
% 0.20/0.48  % (25693)First to succeed.
% 0.20/0.48  % (25693)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (25693)------------------------------
% 0.20/0.48  % (25693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.48  % (25693)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (25693)Memory used [KB]: 1861
% 0.20/0.48  % (25693)Time elapsed: 0.076 s
% 0.20/0.48  % (25693)Instructions burned: 114 (million)
% 0.20/0.48  % (25693)------------------------------
% 0.20/0.48  % (25693)------------------------------
% 0.20/0.48  % (25686)Success in time 0.108 s
%------------------------------------------------------------------------------