TSTP Solution File: SWV778-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV778-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May  5 11:11:05 EDT 2024

% Result   : Unsatisfiable 0.15s 0.41s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   36 (  23 unt;   0 def)
%            Number of atoms       :   49 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   4   ~;   3   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   18 (  16 usr;  11 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f522,plain,
    $false,
    inference(avatar_sat_refutation,[],[f473,f478,f483,f488,f493,f498,f503,f508,f513,f518,f521]) ).

fof(f521,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f520]) ).

fof(f520,plain,
    ( $false
    | spl0_10 ),
    inference(trivial_inequality_removal,[],[f519]) ).

fof(f519,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))
    | spl0_10 ),
    inference(forward_demodulation,[],[f517,f428]) ).

fof(f428,axiom,
    ! [X14] : c_List_Olist_ONil(X14) = hAPP(c_List_Orev(X14),c_List_Olist_ONil(X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_1) ).

fof(f517,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f515,plain,
    ( spl0_10
  <=> c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f518,plain,
    ~ spl0_10,
    inference(avatar_split_clause,[],[f429,f515]) ).

fof(f429,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f513,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f441,f510]) ).

fof(f510,plain,
    ( spl0_9
  <=> class_HOL_Oord(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f441,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

fof(f508,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f440,f505]) ).

fof(f505,plain,
    ( spl0_8
  <=> class_Orderings_Oorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f440,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

fof(f503,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f439,f500]) ).

fof(f500,plain,
    ( spl0_7
  <=> class_Orderings_Opreorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f439,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

fof(f498,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f438,f495]) ).

fof(f495,plain,
    ( spl0_6
  <=> class_HOL_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f438,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

fof(f493,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f437,f490]) ).

fof(f490,plain,
    ( spl0_5
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f437,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

fof(f488,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f436,f485]) ).

fof(f485,plain,
    ( spl0_4
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f436,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f483,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f435,f480]) ).

fof(f480,plain,
    ( spl0_3
  <=> class_Orderings_Opreorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f435,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

fof(f478,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f434,f475]) ).

fof(f475,plain,
    ( spl0_2
  <=> class_Divides_Osemiring__div(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f434,axiom,
    class_Divides_Osemiring__div(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).

fof(f473,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f433,f470]) ).

fof(f470,plain,
    ( spl0_1
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f433,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV778-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:56:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (4302)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (4305)WARNING: value z3 for option sas not known
% 0.15/0.39  % (4303)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39  % (4304)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39  % (4306)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39  % (4305)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39  % (4307)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39  % (4308)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39  % (4309)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40  % (4307)First to succeed.
% 0.15/0.40  % (4307)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4302"
% 0.15/0.41  % (4305)Also succeeded, but the first one will report.
% 0.15/0.41  % (4307)Refutation found. Thanks to Tanya!
% 0.15/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41  % (4307)------------------------------
% 0.15/0.41  % (4307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.41  % (4307)Termination reason: Refutation
% 0.15/0.41  
% 0.15/0.41  % (4307)Memory used [KB]: 1311
% 0.15/0.41  % (4307)Time elapsed: 0.017 s
% 0.15/0.41  % (4307)Instructions burned: 28 (million)
% 0.15/0.41  % (4302)Success in time 0.051 s
%------------------------------------------------------------------------------