TSTP Solution File: SCT088-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SCT088-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n015.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 : Thu Aug 31 14:22:54 EDT 2023

% Result   : Unsatisfiable 0.26s 0.50s
% Output   : Refutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   14 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   3   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1100,plain,
    $false,
    inference(subsumption_resolution,[],[f1091,f676]) ).

fof(f676,plain,
    ~ sQ0_eqProxy(v_c____,v_d____),
    inference(equality_proxy_replacement,[],[f609,f675]) ).

fof(f675,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f609,axiom,
    v_c____ != v_d____,
    file('/export/starexec/sandbox2/tmp/tmp.cJGOCSrVDp/Vampire---4.8_31373',cls_CHAINED_0_02) ).

fof(f1091,plain,
    sQ0_eqProxy(v_c____,v_d____),
    inference(resolution,[],[f1090,f919]) ).

fof(f919,plain,
    ! [X1,X9] :
      ( c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X9,c_List_Olist_OCons(v_sko__CHAINED__1(X1,X9),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
      | sQ0_eqProxy(X1,X9) ),
    inference(equality_proxy_replacement,[],[f607,f675]) ).

fof(f607,axiom,
    ! [X1,X9] :
      ( X1 = X9
      | c_List_Odistinct(c_List_Olist_OCons(X1,c_List_Olist_OCons(X9,c_List_Olist_OCons(v_sko__CHAINED__1(X1,X9),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox2/tmp/tmp.cJGOCSrVDp/Vampire---4.8_31373',cls_CHAINED_0) ).

fof(f1090,plain,
    ! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    inference(resolution,[],[f611,f599]) ).

fof(f599,axiom,
    ! [X39] :
      ( v_thesis____
      | ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X39,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox2/tmp/tmp.cJGOCSrVDp/Vampire---4.8_31373',cls_that_0) ).

fof(f611,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/tmp/tmp.cJGOCSrVDp/Vampire---4.8_31373',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.16/0.17  % Problem    : SCT088-1 : TPTP v8.1.2. Released v4.1.0.
% 0.16/0.19  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.19/0.40  % Computer : n015.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40  % CPULimit   : 300
% 0.19/0.40  % WCLimit    : 300
% 0.19/0.40  % DateTime   : Thu Aug 24 15:22:51 EDT 2023
% 0.19/0.40  % CPUTime    : 
% 0.19/0.40  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.19/0.40  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.cJGOCSrVDp/Vampire---4.8_31373
% 0.19/0.41  % (31524)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.46  % (31531)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.26/0.49  % (31534)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.26/0.49  % (31527)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.26/0.49  % (31536)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.26/0.49  % (31529)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.26/0.49  % (31526)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.26/0.49  % (31537)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.26/0.50  % (31537)First to succeed.
% 0.26/0.50  % (31537)Refutation found. Thanks to Tanya!
% 0.26/0.50  % SZS status Unsatisfiable for Vampire---4
% 0.26/0.50  % SZS output start Proof for Vampire---4
% See solution above
% 0.26/0.50  % (31537)------------------------------
% 0.26/0.50  % (31537)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.26/0.50  % (31537)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.26/0.50  % (31537)Termination reason: Refutation
% 0.26/0.50  
% 0.26/0.50  % (31537)Memory used [KB]: 2046
% 0.26/0.50  % (31537)Time elapsed: 0.016 s
% 0.26/0.50  % (31537)------------------------------
% 0.26/0.50  % (31537)------------------------------
% 0.26/0.50  % (31524)Success in time 0.095 s
% 0.26/0.50  % Vampire---4.8 exiting
%------------------------------------------------------------------------------