TSTP Solution File: SWC255-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC255-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : 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 : Wed Aug 31 18:42:43 EDT 2022

% Result   : Unsatisfiable 0.16s 0.49s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   23 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   8   ~;   7   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f297,plain,
    $false,
    inference(avatar_sat_refutation,[],[f254,f255,f296]) ).

fof(f296,plain,
    spl1_4,
    inference(avatar_split_clause,[],[f232,f251]) ).

fof(f251,plain,
    ( spl1_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f232,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f202]) ).

fof(f202,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f255,plain,
    ( spl1_3
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f196,f251,f247]) ).

fof(f247,plain,
    ( spl1_3
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | singletonP(sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f254,plain,
    ( ~ spl1_3
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f200,f251,f247]) ).

fof(f200,plain,
    ( ~ neq(sk4,nil)
    | ~ singletonP(sk3) ),
    inference(definition_unfolding,[],[f197,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | ~ singletonP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWC255-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31  % CPULimit   : 300
% 0.16/0.31  % WCLimit    : 300
% 0.16/0.31  % DateTime   : Tue Aug 30 18:48:18 EDT 2022
% 0.16/0.31  % CPUTime    : 
% 0.16/0.46  % (2510)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.47  % (2520)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.47  % (2508)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.47  % (2512)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.47  % (2511)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.47  % (2533)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)
% 0.16/0.47  % (2512)Instruction limit reached!
% 0.16/0.47  % (2512)------------------------------
% 0.16/0.47  % (2512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47  % (2525)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.47  % (2518)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.48  % (2524)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)
% 0.16/0.48  % (2527)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.48  % (2520)First to succeed.
% 0.16/0.48  % (2519)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.48  % (2517)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.48  % (2526)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)
% 0.16/0.48  % (2516)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.49  % (2512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (2512)Termination reason: Unknown
% 0.16/0.49  % (2512)Termination phase: Function definition elimination
% 0.16/0.49  
% 0.16/0.49  % (2512)Memory used [KB]: 1023
% 0.16/0.49  % (2512)Time elapsed: 0.003 s
% 0.16/0.49  % (2512)Instructions burned: 2 (million)
% 0.16/0.49  % (2512)------------------------------
% 0.16/0.49  % (2512)------------------------------
% 0.16/0.49  % (2520)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  % (2520)------------------------------
% 0.16/0.49  % (2520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (2520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (2520)Termination reason: Refutation
% 0.16/0.49  
% 0.16/0.49  % (2520)Memory used [KB]: 5628
% 0.16/0.49  % (2520)Time elapsed: 0.007 s
% 0.16/0.49  % (2520)Instructions burned: 5 (million)
% 0.16/0.49  % (2520)------------------------------
% 0.16/0.49  % (2520)------------------------------
% 0.16/0.49  % (2503)Success in time 0.17 s
%------------------------------------------------------------------------------