TSTP Solution File: SYN262-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN262-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n029.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 : Wed Aug 31 19:37:19 EDT 2022

% Result   : Unsatisfiable 0.16s 0.49s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (   9 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  22   ~;  18   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   6 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2466,plain,
    $false,
    inference(avatar_sat_refutation,[],[f726,f1220,f1480,f1511,f2457,f2465]) ).

fof(f2465,plain,
    ~ spl0_288,
    inference(avatar_contradiction_clause,[],[f2458]) ).

fof(f2458,plain,
    ( $false
    | ~ spl0_288 ),
    inference(resolution,[],[f1884,f369]) ).

fof(f369,axiom,
    ~ p1(b,c,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f1884,plain,
    ( ! [X0] : p1(b,X0,b)
    | ~ spl0_288 ),
    inference(avatar_component_clause,[],[f1883]) ).

fof(f1883,plain,
    ( spl0_288
  <=> ! [X0] : p1(b,X0,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f2457,plain,
    ( spl0_288
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f2454,f1218,f1883]) ).

fof(f1218,plain,
    ( spl0_210
  <=> ! [X2,X5,X10] :
        ( p1(X5,X2,X5)
        | ~ p1(X2,X10,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f2454,plain,
    ( ! [X2] : p1(b,X2,b)
    | ~ spl0_210 ),
    inference(resolution,[],[f1219,f2067]) ).

fof(f2067,plain,
    ! [X0] : p1(X0,X0,b),
    inference(resolution,[],[f107,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f107,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_069) ).

fof(f1219,plain,
    ( ! [X2,X10,X5] :
        ( ~ p1(X2,X10,X5)
        | p1(X5,X2,X5) )
    | ~ spl0_210 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1511,plain,
    ( ~ spl0_43
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f1510]) ).

fof(f1510,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_70 ),
    inference(resolution,[],[f644,f534]) ).

fof(f534,plain,
    ( l0(a)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f533,plain,
    ( spl0_43
  <=> l0(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f644,plain,
    ( ! [X9] : ~ l0(X9)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f643,plain,
    ( spl0_70
  <=> ! [X9] : ~ l0(X9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1480,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f20,f533]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

fof(f1220,plain,
    ( spl0_70
    | ~ spl0_69
    | spl0_210 ),
    inference(avatar_split_clause,[],[f109,f1218,f638,f643]) ).

fof(f638,plain,
    ( spl0_69
  <=> s0(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f109,axiom,
    ! [X2,X3,X10,X5] :
      ( p1(X5,X2,X5)
      | ~ p1(X2,X10,X5)
      | ~ s0(b)
      | ~ l0(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_071) ).

fof(f726,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f5,f638]) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN262-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n029.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 21:49:27 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.43  % (3702)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.45  % (3717)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.46  % (3700)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.46  % (3698)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.46  % (3727)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.46  % (3719)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.46  % (3701)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.46  % (3725)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.47  % (3711)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.47  % (3709)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.47  % (3703)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.48  % (3715)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.48  % (3720)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.49  % (3702)First to succeed.
% 0.16/0.49  % (3718)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.49  % (3699)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.49  % (3702)Refutation found. Thanks to Tanya!
% 0.16/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49  % (3702)------------------------------
% 0.16/0.49  % (3702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (3702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (3702)Termination reason: Refutation
% 0.16/0.49  
% 0.16/0.49  % (3702)Memory used [KB]: 7036
% 0.16/0.49  % (3702)Time elapsed: 0.121 s
% 0.16/0.49  % (3702)Instructions burned: 37 (million)
% 0.16/0.49  % (3702)------------------------------
% 0.16/0.49  % (3702)------------------------------
% 0.16/0.49  % (3697)Success in time 0.16 s
%------------------------------------------------------------------------------