TSTP Solution File: LCL816-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL816-1 : 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_uns --cores 0 -t %d %s

% Computer : n029.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 17:46:06 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   12 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-5 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f563,plain,
    $false,
    inference(unit_resulting_resolution,[],[f476,f475,f526,f514]) ).

fof(f514,plain,
    ! [X49,X47,X14,X60,X64] :
      ( ~ c_Type_Otypings(X47,X60,X64)
      | c_Type_Otyping(X47,c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(X60,tc_Lambda_OdB),X14,tc_Lambda_OdB,tc_Lambda_OdB),X49)
      | ~ c_Type_Otyping(X47,X14,c_List_Ofoldr(c_Type_Otype_OFun,X64,X49,tc_Type_Otype,tc_Type_Otype)) ),
    inference(definition_unfolding,[],[f445,f434]) ).

fof(f434,axiom,
    ! [X3,X6,X4,X42,X43] : c_List_Ofoldl(X42,X6,X4,X3,X43) = c_List_Ofoldr(c_COMBC(X42,X3,X43,X3),c_List_Orev(X4,X43),X6,X43,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__foldr_0) ).

fof(f445,axiom,
    ! [X49,X47,X14,X60,X64] :
      ( ~ c_Type_Otypings(X47,X60,X64)
      | ~ c_Type_Otyping(X47,X14,c_List_Ofoldr(c_Type_Otype_OFun,X64,X49,tc_Type_Otype,tc_Type_Otype))
      | c_Type_Otyping(X47,c_List_Ofoldl(c_Lambda_OdB_OApp,X14,X60,tc_Lambda_OdB,tc_Lambda_OdB),X49) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__app__typeI_0) ).

fof(f526,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    inference(definition_unfolding,[],[f477,f434]) ).

fof(f477,axiom,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f475,axiom,
    c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f476,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL816-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 02:56:41 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.20/0.50  % (31122)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.50  % (31132)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53  % (31122)Instruction limit reached!
% 0.20/0.53  % (31122)------------------------------
% 0.20/0.53  % (31122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31122)Termination reason: Unknown
% 0.20/0.53  % (31122)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (31122)Memory used [KB]: 2174
% 0.20/0.53  % (31122)Time elapsed: 0.096 s
% 0.20/0.53  % (31122)Instructions burned: 30 (million)
% 0.20/0.53  % (31122)------------------------------
% 0.20/0.53  % (31122)------------------------------
% 0.20/0.53  % (31120)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.53  % (31133)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  % (31132)First to succeed.
% 0.20/0.54  % (31132)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (31132)------------------------------
% 0.20/0.54  % (31132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (31132)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (31132)Memory used [KB]: 7164
% 0.20/0.54  % (31132)Time elapsed: 0.106 s
% 0.20/0.54  % (31132)Instructions burned: 41 (million)
% 0.20/0.54  % (31132)------------------------------
% 0.20/0.54  % (31132)------------------------------
% 0.20/0.54  % (31095)Success in time 0.189 s
%------------------------------------------------------------------------------