TSTP Solution File: LCL784-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL784-1 : 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 : n025.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 17:45:58 EDT 2022

% Result   : Unsatisfiable 0.15s 0.47s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-5 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f378,plain,
    $false,
    inference(subsumption_resolution,[],[f376,f283]) ).

fof(f283,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).

fof(f376,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    inference(backward_demodulation,[],[f359,f221]) ).

fof(f221,axiom,
    ! [X42,X33] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X42)),X33),X42) = X33,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__eq_0) ).

fof(f359,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_n____)),v_u____),v_n____))),
    inference(backward_demodulation,[],[f345,f358]) ).

fof(f358,plain,
    ! [X2,X0,X1] : c_List_Ofoldl(X0,X1,v_rs____,X2,tc_Lambda_OdB) = X1,
    inference(superposition,[],[f245,f274]) ).

fof(f274,axiom,
    c_List_Olist_ONil(tc_Lambda_OdB) = v_rs____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil_0) ).

fof(f245,axiom,
    ! [X2,X0,X12,X13] : c_List_Ofoldl(X12,X2,c_List_Olist_ONil(X13),X0,X13) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).

fof(f345,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_n____))),
    inference(forward_demodulation,[],[f297,f248]) ).

fof(f248,axiom,
    v_n____ = v_i____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).

fof(f297,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LCL784-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n025.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 02:49:59 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.43  % (11266)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)
% 0.15/0.44  % (11258)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)
% 0.15/0.46  % (11258)First to succeed.
% 0.15/0.47  % (11256)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)
% 0.15/0.47  % (11266)Refutation not found, incomplete strategy% (11266)------------------------------
% 0.15/0.47  % (11266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (11258)Refutation found. Thanks to Tanya!
% 0.15/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47  % (11258)------------------------------
% 0.15/0.47  % (11258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (11258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (11258)Termination reason: Refutation
% 0.15/0.47  
% 0.15/0.47  % (11258)Memory used [KB]: 1918
% 0.15/0.47  % (11258)Time elapsed: 0.074 s
% 0.15/0.47  % (11258)Instructions burned: 25 (million)
% 0.15/0.47  % (11258)------------------------------
% 0.15/0.47  % (11258)------------------------------
% 0.15/0.47  % (11243)Success in time 0.157 s
%------------------------------------------------------------------------------