TSTP Solution File: SWV765-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV765-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 : Tue May 21 06:35:48 EDT 2024

% Result   : Unsatisfiable 43.75s 6.61s
% Output   : Refutation 43.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   30 (  22 unt;   0 def)
%            Number of atoms       :   40 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  20   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :   69 (  69   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f472028,plain,
    $false,
    inference(trivial_inequality_removal,[],[f472027]) ).

fof(f472027,plain,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OEncryption,
    inference(superposition,[],[f471776,f471595]) ).

fof(f471595,plain,
    ! [X0,X1] : c_Public_Okeymode_OEncryption = c_List_Olist_OCons(X0,c_Public_Okeymode_OSignature,X1),
    inference(unit_resulting_resolution,[],[f12,f470564,f264]) ).

fof(f264,axiom,
    ! [X2,X3,X10,X5] :
      ( ~ hBOOL(hAPP(c_Set_Oinsert(X10,X5,X2),X3))
      | hBOOL(hAPP(X5,X3))
      | X3 = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).

fof(f470564,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),c_List_Olist_OCons(X2,c_Public_Okeymode_OSignature,X3))),
    inference(unit_resulting_resolution,[],[f383,f73494,f264]) ).

fof(f73494,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2),X3)),
    inference(unit_resulting_resolution,[],[f39100,f251,f77]) ).

fof(f77,axiom,
    ! [X31,X30] :
      ( ~ hBOOL(hAPP(X30,c_Public_Okeymode_OSignature))
      | ~ hBOOL(hAPP(X30,c_Public_Okeymode_OEncryption))
      | hBOOL(hAPP(X30,X31)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).

fof(f251,axiom,
    ! [X2,X3,X5] : hBOOL(hAPP(c_Set_Oinsert(X3,X5,X2),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f39100,plain,
    ! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
    inference(unit_resulting_resolution,[],[f251,f277]) ).

fof(f277,axiom,
    ! [X2,X3,X10,X5] :
      ( ~ hBOOL(hAPP(X5,X3))
      | hBOOL(hAPP(c_Set_Oinsert(X10,X5,X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).

fof(f383,axiom,
    ! [X2,X3,X46] : c_List_Olist_OCons(X3,X46,X2) != X46,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

fof(f12,axiom,
    ! [X2,X3] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).

fof(f471776,plain,
    ! [X2,X1] : c_Public_Okeymode_OEncryption != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X2,X1),
    inference(superposition,[],[f111682,f471595]) ).

fof(f111682,plain,
    ! [X2,X3,X0,X1] : c_List_Olist_OCons(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,X2) != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X3,X2),
    inference(forward_demodulation,[],[f111677,f405]) ).

fof(f405,axiom,
    ! [X15] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X15)) = X15,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey_0) ).

fof(f111677,plain,
    ! [X2,X3,X0,X1] : c_List_Olist_OCons(hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),X1,X2) != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X3,X2),
    inference(unit_resulting_resolution,[],[f42717,f408]) ).

fof(f408,axiom,
    ! [X2,X65,X11,X63,X64] :
      ( c_List_Olist_OCons(X11,X63,X2) != c_List_Olist_OCons(X64,X65,X2)
      | X11 = X64 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).

fof(f42717,plain,
    ! [X0] : c_NS__Shared__Mirabelle_Ons__shared != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
    inference(forward_demodulation,[],[f42704,f405]) ).

fof(f42704,plain,
    ! [X0] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_NS__Shared__Mirabelle_Ons__shared)) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
    inference(unit_resulting_resolution,[],[f40903,f390]) ).

fof(f390,axiom,
    ! [X39,X15] :
      ( hAPP(c_Message_OinvKey,X15) != hAPP(c_Message_OinvKey,X39)
      | X15 = X39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__eq_0) ).

fof(f40903,plain,
    ! [X0] : hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) != hAPP(c_Message_OinvKey,c_NS__Shared__Mirabelle_Ons__shared),
    inference(unit_resulting_resolution,[],[f40860,f390]) ).

fof(f40860,plain,
    ! [X0] : c_NS__Shared__Mirabelle_Ons__shared != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
    inference(superposition,[],[f30,f40770]) ).

fof(f40770,plain,
    ! [X0] : c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0),
    inference(unit_resulting_resolution,[],[f2257,f298]) ).

fof(f298,axiom,
    ! [X2,X11,X5] :
      ( ~ hBOOL(c_in(X11,X5,X2))
      | c_Set_Oinsert(X11,X5,X2) = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

fof(f2257,plain,
    ! [X0] : hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0)),
    inference(unit_resulting_resolution,[],[f2247,f492]) ).

fof(f492,axiom,
    ! [X2,X3,X56] :
      ( ~ hBOOL(hAPP(X56,X3))
      | hBOOL(c_in(X3,X56,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f2247,plain,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
    inference(unit_resulting_resolution,[],[f516,f493]) ).

fof(f493,axiom,
    ! [X2,X3,X56] :
      ( ~ hBOOL(c_in(X3,X56,X2))
      | hBOOL(hAPP(X56,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f516,axiom,
    hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f30,axiom,
    ! [X2,X11,X5] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Set_Oinsert(X11,X5,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV765-1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n016.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   : Sun May 19 06:29:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (21005)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40  % (21010)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.41  % (21008)WARNING: value z3 for option sas not known
% 0.15/0.41  % (21006)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.41  % (21007)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.41  % (21008)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)
% 0.15/0.41  % (21012)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)
% 0.15/0.41  % (21013)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)
% 0.22/0.41  % (21011)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)
% 0.22/0.56  TRYING [1]
% 0.22/0.58  TRYING [2]
% 2.38/0.76  TRYING [3]
% 3.98/0.97  TRYING [1]
% 4.52/1.01  TRYING [2]
% 7.98/1.52  TRYING [4]
% 8.23/1.62  TRYING [1]
% 8.91/1.63  TRYING [2]
% 9.31/1.72  TRYING [3]
% 9.31/1.72  TRYING [3]
% 12.47/2.21  TRYING [4]
% 24.15/3.85  TRYING [4]
% 29.57/4.59  TRYING [5]
% 34.07/5.22  TRYING [5]
% 43.09/6.59  % (21013)First to succeed.
% 43.09/6.59  % (21013)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21005"
% 43.75/6.61  % (21013)Refutation found. Thanks to Tanya!
% 43.75/6.61  % SZS status Unsatisfiable for theBenchmark
% 43.75/6.61  % SZS output start Proof for theBenchmark
% See solution above
% 43.75/6.61  % (21013)------------------------------
% 43.75/6.61  % (21013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 43.75/6.61  % (21013)Termination reason: Refutation
% 43.75/6.61  
% 43.75/6.61  % (21013)Memory used [KB]: 97357
% 43.75/6.61  % (21013)Time elapsed: 6.187 s
% 43.75/6.61  % (21013)Instructions burned: 20462 (million)
% 43.75/6.61  % (21005)Success in time 6.229 s
%------------------------------------------------------------------------------