TSTP Solution File: SWV966-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV966-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n019.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 19:02:09 EDT 2022

% Result   : Unsatisfiable 1.35s 0.56s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  16   ~;  12   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-5 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-4 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f526,plain,
    $false,
    inference(avatar_sat_refutation,[],[f514,f521,f525]) ).

fof(f525,plain,
    spl10_2,
    inference(avatar_contradiction_clause,[],[f522]) ).

fof(f522,plain,
    ( $false
    | spl10_2 ),
    inference(resolution,[],[f513,f371]) ).

fof(f371,plain,
    sP0(v_E____,v_h_Ha____,v_P,v_esa____),
    inference(resolution,[],[f340,f335]) ).

fof(f335,axiom,
    c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,v_Ts____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f340,plain,
    ! [X28,X55,X62,X61,X20] :
      ( ~ c_WellTypeRT_OWTrts(X20,X55,X28,X61,X62)
      | sP0(X28,X55,X20,X61) ),
    inference(cnf_transformation,[],[f340_D]) ).

fof(f340_D,plain,
    ! [X61,X20,X55,X28] :
      ( ! [X62] : ~ c_WellTypeRT_OWTrts(X20,X55,X28,X61,X62)
    <=> ~ sP0(X28,X55,X20,X61) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f513,plain,
    ( ~ sP0(v_E____,v_h_Ha____,v_P,v_esa____)
    | spl10_2 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl10_2
  <=> sP0(v_E____,v_h_Ha____,v_P,v_esa____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f521,plain,
    spl10_1,
    inference(avatar_contradiction_clause,[],[f515]) ).

fof(f515,plain,
    ( $false
    | spl10_1 ),
    inference(resolution,[],[f509,f336]) ).

fof(f336,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f509,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT)
    | spl10_1 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl10_1
  <=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f514,plain,
    ( ~ spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f503,f511,f507]) ).

fof(f503,plain,
    ( ~ sP0(v_E____,v_h_Ha____,v_P,v_esa____)
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ),
    inference(resolution,[],[f502,f341]) ).

fof(f341,plain,
    ! [X21,X28,X73,X55,X35,X61,X20] :
      ( c_WellTypeRT_OWTrt(X20,X55,X28,c_Expr_Oexp_OCall(X21,X73,X61,tc_List_Olist(tc_String_Ochar)),X35)
      | ~ sP0(X28,X55,X20,X61)
      | ~ c_WellTypeRT_OWTrt(X20,X55,X28,X21,c_Type_Oty_ONT) ),
    inference(general_splitting,[],[f287,f340_D]) ).

fof(f287,axiom,
    ! [X21,X28,X73,X55,X62,X35,X61,X20] :
      ( ~ c_WellTypeRT_OWTrt(X20,X55,X28,X21,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X20,X55,X28,c_Expr_Oexp_OCall(X21,X73,X61,tc_List_Olist(tc_String_Ochar)),X35)
      | ~ c_WellTypeRT_OWTrts(X20,X55,X28,X61,X62) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCallNT_0) ).

fof(f502,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____),
    inference(resolution,[],[f337,f312]) ).

fof(f312,axiom,
    ! [X3,X35,X20] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X20,X3),X35),X35)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).

fof(f337,axiom,
    ! [X27] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X27),v_T____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV966-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % 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 : n019.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 20:13:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.50  % (14697)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.50  % (14704)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.23/0.52  % (14702)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.23/0.52  % (14712)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.35/0.53  % (14718)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)
% 1.35/0.53  % (14710)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.53  % (14722)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.35/0.53  % (14713)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.35/0.53  % (14714)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.35/0.53  % (14717)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.35/0.53  % (14715)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.35/0.53  % (14696)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.53  % (14706)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)
% 1.35/0.54  % (14695)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.54  % (14703)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.54  % (14694)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.35/0.54  % (14705)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.35/0.54  % (14698)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.54  % (14721)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.55  % (14709)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.35/0.55  % (14719)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)
% 1.35/0.55  % (14707)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.35/0.55  % (14692)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)
% 1.35/0.55  % (14700)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.35/0.55  % (14701)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)
% 1.35/0.55  % (14700)Instruction limit reached!
% 1.35/0.55  % (14700)------------------------------
% 1.35/0.55  % (14700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.55  % (14700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.55  % (14700)Termination reason: Unknown
% 1.35/0.55  % (14700)Termination phase: Blocked clause elimination
% 1.35/0.55  
% 1.35/0.55  % (14700)Memory used [KB]: 1151
% 1.35/0.55  % (14700)Time elapsed: 0.002 s
% 1.35/0.55  % (14700)Instructions burned: 3 (million)
% 1.35/0.55  % (14700)------------------------------
% 1.35/0.55  % (14700)------------------------------
% 1.35/0.55  % (14711)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)
% 1.35/0.55  % (14702)First to succeed.
% 1.35/0.56  % (14716)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.35/0.56  % (14702)Refutation found. Thanks to Tanya!
% 1.35/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.35/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.56  % (14702)------------------------------
% 1.35/0.56  % (14702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.56  % (14702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.56  % (14702)Termination reason: Refutation
% 1.35/0.56  
% 1.35/0.56  % (14702)Memory used [KB]: 6012
% 1.35/0.56  % (14702)Time elapsed: 0.150 s
% 1.35/0.56  % (14702)Instructions burned: 25 (million)
% 1.35/0.56  % (14702)------------------------------
% 1.35/0.56  % (14702)------------------------------
% 1.35/0.56  % (14691)Success in time 0.218 s
%------------------------------------------------------------------------------