TSTP Solution File: SWV752-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV752-1 : 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 : n008.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 11:10:57 EDT 2024

% Result   : Unsatisfiable 85.15s 12.51s
% Output   : Refutation 85.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   32 (  24 unt;   0 def)
%            Number of atoms       :   43 (  24 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  24   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   73 (  73   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f868632,plain,
    $false,
    inference(trivial_inequality_removal,[],[f868631]) ).

fof(f868631,plain,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OEncryption,
    inference(superposition,[],[f865152,f865021]) ).

fof(f865021,plain,
    ! [X0,X1] : c_Public_Okeymode_OEncryption = c_List_Olist_OCons(X0,c_Public_Okeymode_OSignature,X1),
    inference(unit_resulting_resolution,[],[f65,f852810,f371]) ).

fof(f371,axiom,
    ! [X2,X3,X11,X6] :
      ( ~ c_in(X3,c_Set_Oinsert(X11,X2,X6),X6)
      | c_in(X3,X2,X6)
      | X3 = X11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).

fof(f852810,plain,
    ! [X2,X3,X0,X1,X4] : c_in(c_List_Olist_OCons(X0,c_Public_Okeymode_OSignature,X1),c_Set_Oinsert(c_Public_Okeymode_OEncryption,X2,X3),X4),
    inference(unit_resulting_resolution,[],[f384,f126868,f371]) ).

fof(f126868,plain,
    ! [X2,X3,X0,X1,X4] : c_in(X0,c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),X3),X4),
    inference(unit_resulting_resolution,[],[f117421,f534]) ).

fof(f534,axiom,
    ! [X54,X6,X5] :
      ( ~ hBOOL(hAPP(X54,X5))
      | c_in(X5,X54,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f117421,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,[],[f431,f46696,f29]) ).

fof(f29,axiom,
    ! [X16,X4] :
      ( ~ hBOOL(hAPP(X4,c_Public_Okeymode_OEncryption))
      | ~ hBOOL(hAPP(X4,c_Public_Okeymode_OSignature))
      | hBOOL(hAPP(X4,X16)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).

fof(f46696,plain,
    ! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
    inference(unit_resulting_resolution,[],[f431,f393]) ).

fof(f393,axiom,
    ! [X2,X6,X5,X23] :
      ( ~ hBOOL(hAPP(X2,X5))
      | hBOOL(hAPP(c_Set_Oinsert(X23,X2,X6),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).

fof(f431,axiom,
    ! [X2,X6,X5] : hBOOL(hAPP(c_Set_Oinsert(X5,X2,X6),X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f384,axiom,
    ! [X28,X6,X5] : c_List_Olist_OCons(X5,X28,X6) != X28,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

fof(f65,axiom,
    ! [X13] : ~ c_in(X13,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__emptyE_0) ).

fof(f865152,plain,
    ! [X2,X1] : c_Public_Okeymode_OEncryption != c_List_Olist_OCons(c_Message_Oagent_OSpy,X2,X1),
    inference(superposition,[],[f196017,f865021]) ).

fof(f196017,plain,
    ! [X2,X3,X0,X1] : c_List_Olist_OCons(c_Message_Oagent_OSpy,X0,X1) != c_List_Olist_OCons(c_Message_Oagent_OFriend(X2),X3,X1),
    inference(forward_demodulation,[],[f195181,f1735]) ).

fof(f1735,plain,
    ! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_bool),tc_bool) = X0,
    inference(unit_resulting_resolution,[],[f571,f106]) ).

fof(f106,axiom,
    ! [X6,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__compl_0) ).

fof(f571,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).

fof(f195181,plain,
    ! [X2,X3,X0,X1] : c_List_Olist_OCons(c_Message_Oagent_OSpy,X0,X1) != c_List_Olist_OCons(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OFriend(X2),tc_bool),tc_bool),X3,X1),
    inference(unit_resulting_resolution,[],[f99364,f437]) ).

fof(f437,axiom,
    ! [X65,X3,X6,X62,X63] :
      ( c_List_Olist_OCons(X62,X63,X6) != c_List_Olist_OCons(X3,X65,X6)
      | X3 = X62 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).

fof(f99364,plain,
    ! [X0] : c_Message_Oagent_OSpy != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OFriend(X0),tc_bool),tc_bool),
    inference(forward_demodulation,[],[f99346,f1735]) ).

fof(f99346,plain,
    ! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OSpy,tc_bool),tc_bool) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OFriend(X0),tc_bool),tc_bool),
    inference(unit_resulting_resolution,[],[f571,f98991,f175]) ).

fof(f175,axiom,
    ! [X6,X5,X23] :
      ( ~ class_Lattices_Oboolean__algebra(X6)
      | X5 = X23
      | c_HOL_Ouminus__class_Ouminus(X5,X6) != c_HOL_Ouminus__class_Ouminus(X23,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).

fof(f98991,plain,
    ! [X0] : c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OFriend(X0),tc_bool) != c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OSpy,tc_bool),
    inference(forward_demodulation,[],[f95288,f432]) ).

fof(f432,axiom,
    ! [X29] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X29)) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey_0) ).

fof(f95288,plain,
    ! [X0] : c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OSpy,tc_bool) != c_HOL_Ouminus__class_Ouminus(hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0))),tc_bool),
    inference(unit_resulting_resolution,[],[f571,f9799,f175]) ).

fof(f9799,plain,
    ! [X0] : c_Message_Oagent_OSpy != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0))),
    inference(forward_demodulation,[],[f9795,f432]) ).

fof(f9795,plain,
    ! [X0] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OSpy)) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0))),
    inference(unit_resulting_resolution,[],[f9557,f405]) ).

fof(f405,axiom,
    ! [X29,X64] :
      ( hAPP(c_Message_OinvKey,X29) != hAPP(c_Message_OinvKey,X64)
      | X29 = X64 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__eq_0) ).

fof(f9557,plain,
    ! [X0] : hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0)) != hAPP(c_Message_OinvKey,c_Message_Oagent_OSpy),
    inference(unit_resulting_resolution,[],[f2,f405]) ).

fof(f2,axiom,
    ! [X0] : c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I6_J_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV752-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:00:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (7418)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.41  % (7425)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)
% 0.15/0.41  % (7421)WARNING: value z3 for option sas not known
% 0.15/0.41  % (7420)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  % (7419)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.41  % (7422)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.41  % (7421)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  % (7423)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)
% 0.15/0.41  % (7424)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)
% 0.22/0.55  TRYING [1]
% 0.22/0.56  TRYING [2]
% 2.32/0.72  TRYING [3]
% 2.73/0.80  TRYING [1]
% 2.73/0.84  TRYING [2]
% 6.02/1.32  TRYING [4]
% 6.70/1.35  TRYING [3]
% 8.14/1.60  TRYING [1]
% 8.14/1.61  TRYING [2]
% 8.80/1.68  TRYING [3]
% 11.32/2.07  TRYING [4]
% 17.24/2.85  TRYING [4]
% 22.09/3.55  TRYING [5]
% 28.29/4.41  TRYING [5]
% 59.04/8.81  TRYING [5]
% 72.30/10.72  TRYING [6]
% 84.62/12.46  TRYING [6]
% 84.62/12.48  % (7425)First to succeed.
% 84.62/12.48  % (7425)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7418"
% 85.15/12.51  vampire: malloc.c:2617: sysmalloc: Assertion `(old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)' failed.
% 85.15/12.51  7421 Aborted by signal SIGABRT on /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.15/12.51  % (7421)------------------------------
% 85.15/12.51  % (7421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 85.15/12.51  % (7421)Termination reason: Unknown
% 85.15/12.51  % (7421)Termination phase: Saturation
% 85.15/12.51  
% 85.15/12.51  % (7421)Memory used [KB]: 264399
% 85.15/12.51  % (7421)Time elapsed: 12.099 s
% 85.15/12.51  % (7421)Instructions burned: 28237 (million)
% 85.15/12.51  % (7425)Refutation found. Thanks to Tanya!
% 85.15/12.51  % SZS status Unsatisfiable for theBenchmark
% 85.15/12.51  % SZS output start Proof for theBenchmark
% See solution above
% 85.15/12.51  % (7425)------------------------------
% 85.15/12.51  % (7425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 85.15/12.51  % (7425)Termination reason: Refutation
% 85.15/12.51  
% 85.15/12.51  % (7425)Memory used [KB]: 221373
% 85.15/12.51  % (7425)Time elapsed: 12.077 s
% 85.15/12.51  % (7425)Instructions burned: 40516 (million)
% 85.15/12.51  % (7421)------------------------------
% 85.15/12.51  % (7421)------------------------------
% 85.15/12.51  Version : Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 85.15/12.51  ???
% 85.15/12.51   ???
% 85.15/12.51    ???
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% 85.15/12.51                         ???
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% 85.15/12.51                                       ???
% 85.15/12.51                                        ???
% 85.15/12.51                                         ???
% 85.15/12.51  % (7418)Success in time 11.965 s
%------------------------------------------------------------------------------