TSTP Solution File: SWC037-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC037-1 : 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 : n021.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 18:41:19 EDT 2022

% Result   : Unsatisfiable 0.16s 0.51s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   40 (  11 unt;   0 def)
%            Number of atoms       :   85 (  18 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   84 (  39   ~;  40   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f475,plain,
    $false,
    inference(avatar_sat_refutation,[],[f315,f317,f331,f360,f361,f474]) ).

fof(f474,plain,
    ( ~ spl1_2
    | ~ spl1_3
    | ~ spl1_7
    | ~ spl1_13 ),
    inference(avatar_contradiction_clause,[],[f473]) ).

fof(f473,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_3
    | ~ spl1_7
    | ~ spl1_13 ),
    inference(subsumption_resolution,[],[f472,f304]) ).

fof(f304,plain,
    ( ssList(sk4)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl1_2
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f472,plain,
    ( ~ ssList(sk4)
    | ~ spl1_3
    | ~ spl1_7
    | ~ spl1_13 ),
    inference(resolution,[],[f295,f463]) ).

fof(f463,plain,
    ( neq(sk4,sk4)
    | ~ spl1_3
    | ~ spl1_7
    | ~ spl1_13 ),
    inference(backward_demodulation,[],[f359,f460]) ).

fof(f460,plain,
    ( sk4 = sk5
    | ~ spl1_3
    | ~ spl1_7 ),
    inference(subsumption_resolution,[],[f454,f330]) ).

fof(f330,plain,
    ( ssList(sk5)
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl1_7
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f454,plain,
    ( sk4 = sk5
    | ~ ssList(sk5)
    | ~ spl1_3 ),
    inference(resolution,[],[f246,f310]) ).

fof(f310,plain,
    ( segmentP(sk4,sk5)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl1_3
  <=> segmentP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f246,plain,
    ! [X0] :
      ( ~ segmentP(sk4,X0)
      | sk4 = X0
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f80,f202,f202]) ).

fof(f202,plain,
    nil = sk4,
    inference(definition_unfolding,[],[f190,f191]) ).

fof(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

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

fof(f80,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ segmentP(nil,X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f359,plain,
    ( neq(sk5,sk4)
    | ~ spl1_13 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl1_13
  <=> neq(sk5,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).

fof(f295,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f285,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f361,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f225,f303]) ).

fof(f225,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f191]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f360,plain,
    ( spl1_4
    | spl1_13 ),
    inference(avatar_split_clause,[],[f224,f357,f312]) ).

fof(f312,plain,
    ( spl1_4
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f224,plain,
    ( neq(sk5,sk4)
    | sk3 = sk4 ),
    inference(definition_unfolding,[],[f199,f202,f202]) ).

fof(f199,axiom,
    ( nil = sk3
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f331,plain,
    ( spl1_4
    | spl1_7 ),
    inference(avatar_split_clause,[],[f247,f328,f312]) ).

fof(f247,plain,
    ( ssList(sk5)
    | sk3 = sk4 ),
    inference(definition_unfolding,[],[f195,f202]) ).

fof(f195,axiom,
    ( nil = sk3
    | ssList(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f317,plain,
    ~ spl1_4,
    inference(avatar_split_clause,[],[f223,f312]) ).

fof(f223,plain,
    sk3 != sk4,
    inference(definition_unfolding,[],[f193,f202,f192]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f315,plain,
    ( spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f236,f312,f308]) ).

fof(f236,plain,
    ( sk3 = sk4
    | segmentP(sk4,sk5) ),
    inference(definition_unfolding,[],[f200,f202]) ).

fof(f200,axiom,
    ( segmentP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWC037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.31  % Computer : n021.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 30 17:57:56 EDT 2022
% 0.11/0.31  % CPUTime    : 
% 0.16/0.47  % (12224)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)
% 0.16/0.47  % (12242)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  % (12227)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.48  % (12234)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  % (12232)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  % (12228)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48  % (12229)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.48  % (12240)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.49  % (12230)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)
% 0.16/0.49  % (12226)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50  % (12224)First to succeed.
% 0.16/0.50  % (12227)Instruction limit reached!
% 0.16/0.50  % (12227)------------------------------
% 0.16/0.50  % (12227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (12227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (12227)Termination reason: Unknown
% 0.16/0.50  % (12227)Termination phase: Function definition elimination
% 0.16/0.50  
% 0.16/0.50  % (12227)Memory used [KB]: 1151
% 0.16/0.50  % (12227)Time elapsed: 0.004 s
% 0.16/0.50  % (12227)Instructions burned: 2 (million)
% 0.16/0.50  % (12227)------------------------------
% 0.16/0.50  % (12227)------------------------------
% 0.16/0.50  % (12225)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)
% 0.16/0.50  % (12220)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)
% 0.16/0.50  % (12221)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)
% 0.16/0.51  % (12219)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)
% 0.16/0.51  % (12224)Refutation found. Thanks to Tanya!
% 0.16/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51  % (12224)------------------------------
% 0.16/0.51  % (12224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (12224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (12224)Termination reason: Refutation
% 0.16/0.51  
% 0.16/0.51  % (12224)Memory used [KB]: 5884
% 0.16/0.51  % (12224)Time elapsed: 0.130 s
% 0.16/0.51  % (12224)Instructions burned: 14 (million)
% 0.16/0.51  % (12224)------------------------------
% 0.16/0.51  % (12224)------------------------------
% 0.16/0.51  % (12218)Success in time 0.191 s
%------------------------------------------------------------------------------