TSTP Solution File: SWV731-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV731-1 : 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 : n028.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 11:10:33 EDT 2024

% Result   : Unsatisfiable 77.42s 11.42s
% Output   : Refutation 77.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (  17 unt;   0 def)
%            Number of atoms       :   33 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  15   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f757625,plain,
    $false,
    inference(trivial_inequality_removal,[],[f757624]) ).

fof(f757624,plain,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OEncryption,
    inference(superposition,[],[f757259,f757101]) ).

fof(f757101,plain,
    ! [X0,X1] : c_Public_Okeymode_OEncryption = c_List_Olist_OCons(X0,c_Public_Okeymode_OSignature,X1),
    inference(unit_resulting_resolution,[],[f71,f559556,f470]) ).

fof(f470,axiom,
    ! [X2,X10,X11,X12] :
      ( ~ hBOOL(hAPP(c_Set_Oinsert(X12,X2,X10),X11))
      | hBOOL(hAPP(X2,X11))
      | X11 = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).

fof(f559556,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,[],[f444,f24455,f470]) ).

fof(f24455,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,[],[f21163,f484,f15]) ).

fof(f15,axiom,
    ! [X8,X7] :
      ( ~ hBOOL(hAPP(X7,c_Public_Okeymode_OSignature))
      | ~ hBOOL(hAPP(X7,c_Public_Okeymode_OEncryption))
      | hBOOL(hAPP(X7,X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).

fof(f484,axiom,
    ! [X2,X10,X11] : hBOOL(hAPP(c_Set_Oinsert(X11,X2,X10),X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f21163,plain,
    ! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
    inference(unit_resulting_resolution,[],[f484,f452]) ).

fof(f452,axiom,
    ! [X2,X10,X11,X12] :
      ( ~ hBOOL(hAPP(X2,X11))
      | hBOOL(hAPP(c_Set_Oinsert(X12,X2,X10),X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).

fof(f444,axiom,
    ! [X40,X10,X11] : c_List_Olist_OCons(X11,X40,X10) != X40,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

fof(f71,axiom,
    ! [X10,X11] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)),X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).

fof(f757259,plain,
    ! [X2,X1] : c_Public_Okeymode_OEncryption != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X2,X1),
    inference(superposition,[],[f133495,f757101]) ).

fof(f133495,plain,
    ! [X2,X3,X0,X1] : c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X0,X1) != c_List_Olist_OCons(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X1),
    inference(unit_resulting_resolution,[],[f133402,f492]) ).

fof(f492,axiom,
    ! [X31,X72,X10,X71,X75] :
      ( c_List_Olist_OCons(X71,X72,X10) != c_List_Olist_OCons(X31,X75,X10)
      | X31 = X71 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).

fof(f133402,plain,
    ! [X0] : c_NS__Shared__Mirabelle_Ons__shared != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
    inference(superposition,[],[f97,f133062]) ).

fof(f133062,plain,
    ! [X0] : c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0),
    inference(unit_resulting_resolution,[],[f21455,f422]) ).

fof(f422,axiom,
    ! [X31,X2,X10] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X10),X31),X2))
      | c_Set_Oinsert(X31,X2,X10) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

fof(f21455,plain,
    ! [X0] : hBOOL(hAPP(hAPP(c_in(X0),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
    inference(unit_resulting_resolution,[],[f21440,f584]) ).

fof(f584,axiom,
    ! [X10,X11,X23] :
      ( ~ hBOOL(hAPP(X23,X11))
      | hBOOL(hAPP(hAPP(c_in(X10),X11),X23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f21440,plain,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
    inference(unit_resulting_resolution,[],[f604,f585]) ).

fof(f585,axiom,
    ! [X10,X11,X23] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X10),X11),X23))
      | hBOOL(hAPP(X23,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f604,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_List_Olist(tc_Event_Oevent)),v_evs),c_NS__Shared__Mirabelle_Ons__shared)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f97,axiom,
    ! [X31,X2,X10] : c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)) != c_Set_Oinsert(X31,X2,X10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV731-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n028.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 21:14:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (18498)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (18501)WARNING: value z3 for option sas not known
% 0.21/0.41  % (18500)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.41  % (18502)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.41  % (18501)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)
% 0.21/0.41  % (18499)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.41  % (18503)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)
% 0.21/0.41  % (18504)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)
% 0.21/0.41  % (18505)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)
% 1.44/0.59  TRYING [1]
% 1.59/0.61  TRYING [2]
% 2.48/0.79  TRYING [3]
% 3.89/1.00  TRYING [1]
% 4.57/1.04  TRYING [2]
% 7.75/1.51  TRYING [4]
% 8.71/1.64  TRYING [1]
% 8.71/1.65  TRYING [2]
% 9.97/1.80  TRYING [3]
% 10.10/1.88  TRYING [3]
% 14.89/2.51  TRYING [4]
% 28.03/4.38  TRYING [5]
% 35.92/5.53  TRYING [4]
% 38.85/5.92  TRYING [5]
% 76.89/11.40  % (18505)First to succeed.
% 76.89/11.40  % (18505)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18498"
% 77.42/11.42  % (18505)Refutation found. Thanks to Tanya!
% 77.42/11.42  % SZS status Unsatisfiable for theBenchmark
% 77.42/11.42  % SZS output start Proof for theBenchmark
% See solution above
% 77.42/11.42  % (18505)------------------------------
% 77.42/11.42  % (18505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 77.42/11.42  % (18505)Termination reason: Refutation
% 77.42/11.42  
% 77.42/11.42  % (18505)Memory used [KB]: 241434
% 77.42/11.42  % (18505)Time elapsed: 10.987 s
% 77.42/11.42  % (18505)Instructions burned: 38149 (million)
% 77.42/11.42  % (18498)Success in time 10.864 s
%------------------------------------------------------------------------------