TSTP Solution File: SWC348-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC348-1 : 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 18:43:18 EDT 2022

% Result   : Unsatisfiable 0.15s 0.54s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   38 (  13 unt;   0 def)
%            Number of atoms       :   73 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   64 (  29   ~;  33   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f508,plain,
    $false,
    inference(avatar_sat_refutation,[],[f246,f460,f498]) ).

fof(f498,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f497]) ).

fof(f497,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f496,f229]) ).

fof(f229,plain,
    ~ strictorderedP(sk3),
    inference(subsumption_resolution,[],[f195,f192]) ).

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f195,plain,
    ( ~ strictorderedP(sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f194,f191,f190,f191]) ).

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

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

fof(f194,axiom,
    ( ~ strictorderedP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f496,plain,
    ( strictorderedP(sk3)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f487,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f487,plain,
    ( ~ ssItem(skaf44(sk3))
    | strictorderedP(sk3)
    | ~ spl0_3 ),
    inference(superposition,[],[f66,f468]) ).

fof(f468,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f467,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f467,plain,
    ( ~ ssList(sk3)
    | sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_3 ),
    inference(resolution,[],[f101,f241]) ).

fof(f241,plain,
    ( singletonP(sk3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_3
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | cons(skaf44(X0),nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f66,axiom,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f460,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f459]) ).

fof(f459,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f458,f3]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f458,plain,
    ( ~ strictorderedP(nil)
    | spl0_4 ),
    inference(backward_demodulation,[],[f229,f452]) ).

fof(f452,plain,
    ( nil = sk3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f451,f188]) ).

fof(f451,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_4 ),
    inference(resolution,[],[f447,f80]) ).

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

fof(f447,plain,
    ( segmentP(nil,sk3)
    | spl0_4 ),
    inference(backward_demodulation,[],[f192,f442]) ).

fof(f442,plain,
    ( nil = sk4
    | spl0_4 ),
    inference(subsumption_resolution,[],[f441,f196]) ).

fof(f196,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f441,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_4 ),
    inference(subsumption_resolution,[],[f436,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f436,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | nil = sk4
    | spl0_4 ),
    inference(resolution,[],[f100,f245]) ).

fof(f245,plain,
    ( ~ neq(sk4,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f246,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f193,f243,f239]) ).

fof(f193,axiom,
    ( ~ neq(sk4,nil)
    | singletonP(sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : SWC348-1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.34  % Computer : n028.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit   : 300
% 0.10/0.34  % WCLimit    : 300
% 0.10/0.34  % DateTime   : Tue Aug 30 18:58:33 EDT 2022
% 0.10/0.34  % CPUTime    : 
% 0.15/0.49  % (24973)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)
% 0.15/0.49  % (24982)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.49  % (24964)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)
% 0.15/0.50  % (24974)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)
% 0.15/0.50  % (24972)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)
% 0.15/0.50  % (24965)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.50  % (24980)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)
% 0.15/0.51  % (24981)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)
% 0.15/0.51  % (24966)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.51  % (24966)Instruction limit reached!
% 0.15/0.51  % (24966)------------------------------
% 0.15/0.51  % (24966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (24966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (24966)Termination reason: Unknown
% 0.15/0.52  % (24966)Termination phase: Function definition elimination
% 0.15/0.52  
% 0.15/0.52  % (24966)Memory used [KB]: 1023
% 0.15/0.52  % (24966)Time elapsed: 0.003 s
% 0.15/0.52  % (24966)Instructions burned: 2 (million)
% 0.15/0.52  % (24966)------------------------------
% 0.15/0.52  % (24966)------------------------------
% 0.15/0.53  % (24965)Instruction limit reached!
% 0.15/0.53  % (24965)------------------------------
% 0.15/0.53  % (24965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  TRYING [1]
% 0.15/0.53  % (24963)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)
% 0.15/0.53  % (24982)First to succeed.
% 0.15/0.54  TRYING [2]
% 0.15/0.54  % (24965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (24965)Termination reason: Unknown
% 0.15/0.54  % (24965)Termination phase: Saturation
% 0.15/0.54  
% 0.15/0.54  % (24965)Memory used [KB]: 5628
% 0.15/0.54  % (24965)Time elapsed: 0.116 s
% 0.15/0.54  % (24965)Instructions burned: 7 (million)
% 0.15/0.54  % (24965)------------------------------
% 0.15/0.54  % (24965)------------------------------
% 0.15/0.54  % (24987)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)
% 0.15/0.54  % (24962)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.54  % (24972)Also succeeded, but the first one will report.
% 0.15/0.54  % (24982)Refutation found. Thanks to Tanya!
% 0.15/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.54  % (24982)------------------------------
% 0.15/0.54  % (24982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (24982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (24982)Termination reason: Refutation
% 0.15/0.54  
% 0.15/0.54  % (24982)Memory used [KB]: 5884
% 0.15/0.54  % (24982)Time elapsed: 0.122 s
% 0.15/0.54  % (24982)Instructions burned: 19 (million)
% 0.15/0.54  % (24982)------------------------------
% 0.15/0.54  % (24982)------------------------------
% 0.15/0.54  % (24957)Success in time 0.193 s
%------------------------------------------------------------------------------