%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL789-1 : 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 : n018.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 17:49:58 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-5 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f359,plain,
    $false,
    inference(subsumption_resolution,[],[f358,f299]) ).

fof(f299,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f358,plain,
    ~ c_Type_Otyping(v_e____,v_u____,v_T____),
    inference(backward_demodulation,[],[f329,f357]) ).

fof(f357,plain,
    v_T____ = sF2,
    inference(forward_demodulation,[],[f328,f350]) ).

fof(f350,plain,
    v_T____ = hAPP(sF0,sF1),
    inference(backward_demodulation,[],[f333,f326]) ).

fof(f326,plain,
    hAPP(c_Type_Otype_OFun,v_T_H_H____) = sF0,
    introduced(function_definition,[]) ).

fof(f333,plain,
    v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),sF1),
    inference(forward_demodulation,[],[f298,f327]) ).

fof(f327,plain,
    c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype) = sF1,
    introduced(function_definition,[]) ).

fof(f298,axiom,
    v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f328,plain,
    sF2 = hAPP(sF0,sF1),
    introduced(function_definition,[]) ).

fof(f329,plain,
    ~ c_Type_Otyping(v_e____,v_u____,sF2),
    inference(definition_folding,[],[f300,f328,f327,f326]) ).

fof(f300,axiom,
    ~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL789-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12  % 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 : n018.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
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 02:46:09 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.47  % (17231)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.47  % (17223)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (17231)First to succeed.
% 0.18/0.52  % (17231)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (17231)------------------------------
% 0.18/0.52  % (17231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (17231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (17231)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (17231)Memory used [KB]: 6012
% 0.18/0.52  % (17231)Time elapsed: 0.019 s
% 0.18/0.52  % (17231)Instructions burned: 21 (million)
% 0.18/0.52  % (17231)------------------------------
% 0.18/0.52  % (17231)------------------------------
% 0.18/0.52  % (17206)Success in time 0.174 s
%------------------------------------------------------------------------------