TSTP Solution File: SWV339-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV339-1 : TPTP v8.1.2. Released v3.2.0.
% 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 : Sun May  5 10:49:34 EDT 2024

% Result   : Unsatisfiable 0.93s 0.57s
% Output   : Refutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   6 unt;   0 def)
%            Number of atoms       :   36 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   27 (  12   ~;  11   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3846,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3737,f3819,f3838,f3845]) ).

fof(f3845,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f3844]) ).

fof(f3844,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f3842,f2948]) ).

fof(f2948,axiom,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f3842,plain,
    ( ! [X0] : c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(superposition,[],[f2926,f3732]) ).

fof(f3732,plain,
    ( v_K = c_Public_OshrK(v_B)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f3730]) ).

fof(f3730,plain,
    ( spl0_1
  <=> v_K = c_Public_OshrK(v_B) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2926,axiom,
    ! [X12,X102] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Event_Oused(X102),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).

fof(f3838,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f3837]) ).

fof(f3837,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f3836,f2948]) ).

fof(f3836,plain,
    ( ! [X0] : c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(superposition,[],[f2926,f3736]) ).

fof(f3736,plain,
    ( v_K = c_Public_OshrK(v_A)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f3734]) ).

fof(f3734,plain,
    ( spl0_2
  <=> v_K = c_Public_OshrK(v_A) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f3819,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f3810,f3816,f3812]) ).

fof(f3812,plain,
    ( spl0_3
  <=> class_Numeral_Onumber__ring(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3816,plain,
    ( spl0_4
  <=> c_IntDef_Oiszero(c_0,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3810,plain,
    ( c_IntDef_Oiszero(c_0,tc_nat)
    | ~ class_Numeral_Onumber__ring(tc_nat) ),
    inference(superposition,[],[f2143,f1866]) ).

fof(f1866,axiom,
    c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).

fof(f2143,axiom,
    ! [X1] :
      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X1),X1)
      | ~ class_Numeral_Onumber__ring(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__rel__simps__2_0) ).

fof(f3737,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f2950,f3734,f3730]) ).

fof(f2950,axiom,
    ( v_K = c_Public_OshrK(v_A)
    | v_K = c_Public_OshrK(v_B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV339-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 21:07:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (14672)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48  % (14675)WARNING: value z3 for option sas not known
% 0.20/0.48  % (14679)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)
% 0.20/0.48  % (14676)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.48  % (14674)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.48  % (14673)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.48  % (14677)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)
% 0.20/0.48  % (14675)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)
% 0.20/0.48  % (14678)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)
% 0.20/0.57  % (14675)First to succeed.
% 0.20/0.57  % (14675)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14672"
% 0.93/0.57  % (14675)Refutation found. Thanks to Tanya!
% 0.93/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.93/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.93/0.57  % (14675)------------------------------
% 0.93/0.57  % (14675)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.93/0.57  % (14675)Termination reason: Refutation
% 0.93/0.57  
% 0.93/0.57  % (14675)Memory used [KB]: 4582
% 0.93/0.57  % (14675)Time elapsed: 0.085 s
% 0.93/0.57  % (14675)Instructions burned: 155 (million)
% 0.93/0.57  % (14672)Success in time 0.198 s
%------------------------------------------------------------------------------