TSTP Solution File: SWV758-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV758-1 : 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 : n002.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 11:10:58 EDT 2024

% Result   : Unsatisfiable 50.08s 7.60s
% Output   : Refutation 50.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   38 (  28 unt;   0 def)
%            Number of atoms       :   50 (  36 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (  29   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   1 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   :   97 (  97   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f317404,plain,
    $false,
    inference(trivial_inequality_removal,[],[f317403]) ).

fof(f317403,plain,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OSignature,
    inference(superposition,[],[f316007,f315878]) ).

fof(f315878,plain,
    ! [X0,X1] : c_Public_Okeymode_OSignature = c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1),
    inference(unit_resulting_resolution,[],[f38,f313868,f126]) ).

fof(f126,axiom,
    ! [X2,X21,X8,X7] :
      ( ~ hBOOL(hAPP(c_Set_Oinsert(X21,X2,X8),X7))
      | hBOOL(hAPP(X2,X7))
      | X7 = X21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).

fof(f313868,plain,
    ! [X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_List_Olist_OCons(X3,c_Public_Okeymode_OEncryption,X4))),
    inference(forward_demodulation,[],[f313646,f114]) ).

fof(f114,axiom,
    ! [X8,X7] : c_List_Oappend(c_List_Olist_ONil(X8),X7,X8) = X7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).

fof(f313646,plain,
    ! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_List_Oappend(c_List_Olist_ONil(X2),c_List_Olist_OCons(X3,c_Public_Okeymode_OEncryption,X4),X2))),
    inference(unit_resulting_resolution,[],[f78521,f70027,f126]) ).

fof(f70027,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)),
    inference(unit_resulting_resolution,[],[f179,f32849,f106]) ).

fof(f106,axiom,
    ! [X29,X6] :
      ( ~ hBOOL(hAPP(X6,c_Public_Okeymode_OSignature))
      | ~ hBOOL(hAPP(X6,c_Public_Okeymode_OEncryption))
      | hBOOL(hAPP(X6,X29)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).

fof(f32849,plain,
    ! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
    inference(unit_resulting_resolution,[],[f179,f201]) ).

fof(f201,axiom,
    ! [X2,X21,X8,X7] :
      ( ~ hBOOL(hAPP(X2,X7))
      | hBOOL(hAPP(c_Set_Oinsert(X21,X2,X8),X7)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).

fof(f179,axiom,
    ! [X2,X8,X7] : hBOOL(hAPP(c_Set_Oinsert(X7,X2,X8),X7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f78521,plain,
    ! [X2,X3,X0,X1] : c_List_Oappend(c_List_Olist_ONil(X0),c_List_Olist_OCons(X1,X2,X3),X0) != X2,
    inference(forward_demodulation,[],[f77402,f547]) ).

fof(f547,axiom,
    ! [X31] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X31)) = X31,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).

fof(f77402,plain,
    ! [X2,X3,X0,X1] : c_List_Oappend(c_List_Olist_ONil(X0),hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_List_Olist_OCons(X1,X2,X3))),X0) != X2,
    inference(unit_resulting_resolution,[],[f20231,f68413]) ).

fof(f68413,plain,
    ! [X2,X0,X1] :
      ( c_List_Oappend(c_List_Olist_ONil(X0),X2,X0) != X1
      | X1 = X2 ),
    inference(superposition,[],[f102,f114]) ).

fof(f102,axiom,
    ! [X28,X8,X27,X15] :
      ( c_List_Oappend(X15,X27,X8) != c_List_Oappend(X15,X28,X8)
      | X27 = X28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_same__append__eq_0) ).

fof(f20231,plain,
    ! [X2,X0,X1] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_List_Olist_OCons(X0,X1,X2))) != X1,
    inference(forward_demodulation,[],[f20218,f547]) ).

fof(f20218,plain,
    ! [X2,X0,X1] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_List_Olist_OCons(X0,X1,X2))) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X1)),
    inference(unit_resulting_resolution,[],[f5306,f534]) ).

fof(f534,axiom,
    ! [X31,X48] :
      ( hAPP(c_Message_OinvKey,X31) != hAPP(c_Message_OinvKey,X48)
      | X31 = X48 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).

fof(f5306,plain,
    ! [X2,X0,X1] : hAPP(c_Message_OinvKey,X0) != hAPP(c_Message_OinvKey,c_List_Olist_OCons(X1,X0,X2)),
    inference(unit_resulting_resolution,[],[f525,f534]) ).

fof(f525,axiom,
    ! [X39,X8,X7] : c_List_Olist_OCons(X7,X39,X8) != X39,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

fof(f38,axiom,
    ! [X8,X7] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).

fof(f316007,plain,
    ! [X0,X1] : c_Public_Okeymode_OSignature != c_List_Olist_OCons(c_Message_Oagent_OSpy,X1,X0),
    inference(superposition,[],[f140930,f315878]) ).

fof(f140930,plain,
    ! [X3,X0,X1] : c_List_Olist_OCons(c_Message_Oagent_OSpy,X0,X1) != c_List_Olist_OCons(c_Message_Oagent_OServer,X3,X1),
    inference(forward_demodulation,[],[f139700,f114]) ).

fof(f139700,plain,
    ! [X2,X3,X0,X1] : c_List_Olist_OCons(c_Message_Oagent_OSpy,X0,X1) != c_List_Olist_OCons(c_List_Oappend(c_List_Olist_ONil(X2),c_Message_Oagent_OServer,X2),X3,X1),
    inference(unit_resulting_resolution,[],[f78720,f549]) ).

fof(f549,axiom,
    ! [X73,X8,X9,X34,X33] :
      ( c_List_Olist_OCons(X33,X34,X8) != c_List_Olist_OCons(X9,X73,X8)
      | X9 = X33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).

fof(f78720,plain,
    ! [X0] : c_Message_Oagent_OSpy != c_List_Oappend(c_List_Olist_ONil(X0),c_Message_Oagent_OServer,X0),
    inference(forward_demodulation,[],[f76320,f115]) ).

fof(f115,axiom,
    ! [X8,X15] : c_List_Oappend(X15,c_List_Olist_ONil(X8),X8) = X15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv_1) ).

fof(f76320,plain,
    ! [X0,X1] : c_Message_Oagent_OSpy != c_List_Oappend(c_List_Olist_ONil(X0),c_List_Oappend(c_Message_Oagent_OServer,c_List_Olist_ONil(X1),X1),X0),
    inference(unit_resulting_resolution,[],[f74756,f68413]) ).

fof(f74756,plain,
    ! [X0] : c_Message_Oagent_OSpy != c_List_Oappend(c_Message_Oagent_OServer,c_List_Olist_ONil(X0),X0),
    inference(forward_demodulation,[],[f72414,f547]) ).

fof(f72414,plain,
    ! [X0] : c_Message_Oagent_OSpy != c_List_Oappend(hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OServer)),c_List_Olist_ONil(X0),X0),
    inference(unit_resulting_resolution,[],[f20648,f64478]) ).

fof(f64478,plain,
    ! [X2,X0,X1] :
      ( c_List_Oappend(X2,c_List_Olist_ONil(X1),X1) != X0
      | X0 = X2 ),
    inference(superposition,[],[f101,f115]) ).

fof(f101,axiom,
    ! [X28,X8,X27,X15] :
      ( c_List_Oappend(X27,X15,X8) != c_List_Oappend(X28,X15,X8)
      | X27 = X28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__same__eq_0) ).

fof(f20648,plain,
    c_Message_Oagent_OSpy != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OServer)),
    inference(unit_resulting_resolution,[],[f5317,f5582]) ).

fof(f5582,plain,
    ! [X0,X1] :
      ( hAPP(c_Message_OinvKey,X1) != X0
      | hAPP(c_Message_OinvKey,X0) = X1 ),
    inference(superposition,[],[f534,f547]) ).

fof(f5317,plain,
    hAPP(c_Message_OinvKey,c_Message_Oagent_OSpy) != hAPP(c_Message_OinvKey,c_Message_Oagent_OServer),
    inference(unit_resulting_resolution,[],[f496,f534]) ).

fof(f496,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV758-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35  % Computer : n002.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Fri May  3 21:04:53 EDT 2024
% 0.12/0.36  % CPUTime    : 
% 0.12/0.36  % (9267)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41  % (9270)WARNING: value z3 for option sas not known
% 0.12/0.41  % (9270)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)
% 0.12/0.41  % (9273)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)
% 0.12/0.41  % (9271)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.41  % (9274)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)
% 0.12/0.41  % (9272)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)
% 0.12/0.41  % (9269)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.41  % (9268)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.49/0.62  TRYING [1]
% 1.92/0.65  TRYING [2]
% 3.62/0.93  TRYING [3]
% 4.76/1.13  TRYING [1]
% 5.79/1.21  TRYING [2]
% 9.21/1.72  TRYING [1]
% 9.21/1.75  TRYING [2]
% 11.25/2.00  TRYING [3]
% 12.09/2.13  TRYING [4]
% 12.28/2.23  TRYING [3]
% 20.23/3.28  TRYING [4]
% 43.09/6.58  TRYING [4]
% 45.32/6.86  TRYING [5]
% 50.08/7.59  % (9274)First to succeed.
% 50.08/7.59  % (9274)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9267"
% 50.08/7.60  % (9274)Refutation found. Thanks to Tanya!
% 50.08/7.60  % SZS status Unsatisfiable for theBenchmark
% 50.08/7.60  % SZS output start Proof for theBenchmark
% See solution above
% 50.08/7.60  % (9274)------------------------------
% 50.08/7.60  % (9274)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 50.08/7.60  % (9274)Termination reason: Refutation
% 50.08/7.60  
% 50.08/7.60  % (9274)Memory used [KB]: 81564
% 50.08/7.60  % (9274)Time elapsed: 7.176 s
% 50.08/7.60  % (9274)Instructions burned: 14801 (million)
% 50.08/7.60  % (9267)Success in time 7.2 s
%------------------------------------------------------------------------------