TSTP Solution File: SWV968-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV968-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 May 21 06:38:08 EDT 2024

% Result   : Unsatisfiable 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   43
% Syntax   : Number of formulae    :   72 (  43 unt;   0 def)
%            Number of atoms       :  103 (  25 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   62 (  31   ~;   9   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   30 (  28 usr;  23 prp; 0-5 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f381,plain,
    $false,
    inference(avatar_sat_refutation,[],[f279,f285,f290,f295,f300,f304,f309,f314,f319,f324,f328,f332,f336,f340,f344,f349,f353,f362,f367,f371,f375,f379,f380]) ).

fof(f380,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f245,f282]) ).

fof(f282,plain,
    ( spl0_2
  <=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f245,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wte_H_0) ).

fof(f379,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f122,f377]) ).

fof(f377,plain,
    ( spl0_22
  <=> ! [X9,X0,X11] : c_TypeRel_Owiden(X0,c_Type_Oty_ONT,c_Type_Oty_OClass(X9),X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f122,axiom,
    ! [X0,X11,X9] : c_TypeRel_Owiden(X0,c_Type_Oty_ONT,c_Type_Oty_OClass(X9),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__Class_2) ).

fof(f375,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f190,f373]) ).

fof(f373,plain,
    ( spl0_21
  <=> ! [X54,X11,X55] : c_Map_Omap__le(X54,X54,X11,X55) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f190,axiom,
    ! [X11,X54,X55] : c_Map_Omap__le(X54,X54,X11,X55),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__refl_0) ).

fof(f371,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f178,f369]) ).

fof(f369,plain,
    ( spl0_20
  <=> ! [X0,X11] : c_COMBI(X0,X11) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f178,axiom,
    ! [X0,X11] : c_COMBI(X0,X11) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def_0) ).

fof(f367,plain,
    ( spl0_19
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f358,f346,f326,f364]) ).

fof(f364,plain,
    ( spl0_19
  <=> c_Type_Ois__refT(v_U____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f326,plain,
    ( spl0_11
  <=> ! [X35] : c_Type_Ois__refT(c_Type_Oty_OClass(X35)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f346,plain,
    ( spl0_16
  <=> v_U____ = c_Type_Oty_OClass(v_C_H____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f358,plain,
    ( c_Type_Ois__refT(v_U____)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f327,f348]) ).

fof(f348,plain,
    ( v_U____ = c_Type_Oty_OClass(v_C_H____)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f327,plain,
    ( ! [X35] : c_Type_Ois__refT(c_Type_Oty_OClass(X35))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f362,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f129,f360]) ).

fof(f360,plain,
    ( spl0_18
  <=> ! [X0,X11,X7] : c_TypeRel_Owiden(X0,X7,X7,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f129,axiom,
    ! [X0,X11,X7] : c_TypeRel_Owiden(X0,X7,X7,X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).

fof(f353,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f266,f351]) ).

fof(f351,plain,
    ( spl0_17
  <=> ! [X11,X35] : c_fequal(X35,X35,X11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f266,axiom,
    ! [X11,X35] : c_fequal(X35,X35,X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

fof(f349,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f263,f346]) ).

fof(f263,axiom,
    v_U____ = c_Type_Oty_OClass(v_C_H____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f344,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f254,f342]) ).

fof(f342,plain,
    ( spl0_15
  <=> ! [X51] : c_Type_Oty_ONT != c_Type_Oty_OClass(X51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f254,axiom,
    ! [X51] : c_Type_Oty_ONT != c_Type_Oty_OClass(X51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I21_J_0) ).

fof(f340,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f253,f338]) ).

fof(f338,plain,
    ( spl0_14
  <=> ! [X51] : c_Type_Oty_OBoolean != c_Type_Oty_OClass(X51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f253,axiom,
    ! [X51] : c_Type_Oty_OBoolean != c_Type_Oty_OClass(X51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I14_J_0) ).

fof(f336,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f244,f334]) ).

fof(f334,plain,
    ( spl0_13
  <=> ! [X51] : c_Type_Oty_OVoid != c_Type_Oty_OClass(X51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f244,axiom,
    ! [X51] : c_Type_Oty_OVoid != c_Type_Oty_OClass(X51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I9_J_0) ).

fof(f332,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f236,f330]) ).

fof(f330,plain,
    ( spl0_12
  <=> ! [X51] : c_Type_Oty_OInteger != c_Type_Oty_OClass(X51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f236,axiom,
    ! [X51] : c_Type_Oty_OInteger != c_Type_Oty_OClass(X51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I18_J_0) ).

fof(f328,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f261,f326]) ).

fof(f261,axiom,
    ! [X35] : c_Type_Ois__refT(c_Type_Oty_OClass(X35)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_is__refT__def_2) ).

fof(f324,plain,
    ~ spl0_10,
    inference(avatar_split_clause,[],[f226,f321]) ).

fof(f321,plain,
    ( spl0_10
  <=> c_Type_Oty_ONT = c_Type_Oty_OInteger ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f226,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OInteger,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I17_J_0) ).

fof(f319,plain,
    ~ spl0_9,
    inference(avatar_split_clause,[],[f212,f316]) ).

fof(f316,plain,
    ( spl0_9
  <=> c_Type_Oty_OVoid = c_Type_Oty_OBoolean ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f212,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I3_J_0) ).

fof(f314,plain,
    ~ spl0_8,
    inference(avatar_split_clause,[],[f206,f311]) ).

fof(f311,plain,
    ( spl0_8
  <=> c_Type_Oty_OBoolean = c_Type_Oty_OInteger ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f206,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_OInteger,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I10_J_0) ).

fof(f309,plain,
    ~ spl0_7,
    inference(avatar_split_clause,[],[f205,f306]) ).

fof(f306,plain,
    ( spl0_7
  <=> c_Type_Oty_ONT = c_Type_Oty_OVoid ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f205,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OVoid,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I7_J_0) ).

fof(f304,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f170,f302]) ).

fof(f302,plain,
    ( spl0_6
  <=> ! [X1] : c_Objects_Ohext(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f170,axiom,
    ! [X1] : c_Objects_Ohext(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__refl_0) ).

fof(f300,plain,
    ~ spl0_5,
    inference(avatar_split_clause,[],[f168,f297]) ).

fof(f297,plain,
    ( spl0_5
  <=> c_Type_Oty_OVoid = c_Type_Oty_OInteger ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f168,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OInteger,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I4_J_0) ).

fof(f295,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f160,f292]) ).

fof(f292,plain,
    ( spl0_4
  <=> c_Type_Oty_ONT = c_Type_Oty_OBoolean ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f160,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OBoolean,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I12_J_0) ).

fof(f290,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f157,f287]) ).

fof(f287,plain,
    ( spl0_3
  <=> c_Type_Ois__refT(c_Type_Oty_ONT) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f157,axiom,
    c_Type_Ois__refT(c_Type_Oty_ONT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_is__refT__def_1) ).

fof(f285,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f280,f276,f282]) ).

fof(f276,plain,
    ( spl0_1
  <=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f280,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____)
    | spl0_1 ),
    inference(forward_demodulation,[],[f278,f263]) ).

fof(f278,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f279,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f265,f276]) ).

fof(f265,axiom,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWV968-1 : TPTP v8.2.0. Released v4.1.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 07:16:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (26704)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (26709)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)
% 0.14/0.39  % (26710)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)
% 0.14/0.39  % (26707)WARNING: value z3 for option sas not known
% 0.14/0.39  % (26705)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39  % (26707)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)
% 0.14/0.40  % (26706)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40  % (26711)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)
% 0.21/0.40  % (26708)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.41  % (26709)First to succeed.
% 0.21/0.41  % (26709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26704"
% 0.21/0.41  % (26709)Refutation found. Thanks to Tanya!
% 0.21/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41  % (26709)------------------------------
% 0.21/0.41  % (26709)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41  % (26709)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (26709)Memory used [KB]: 1117
% 0.21/0.41  % (26709)Time elapsed: 0.028 s
% 0.21/0.41  % (26709)Instructions burned: 29 (million)
% 0.21/0.41  % (26704)Success in time 0.06 s
%------------------------------------------------------------------------------