TSTP Solution File: SWC069-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC069-1 : 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 18:41:31 EDT 2022

% Result   : Unsatisfiable 1.56s 0.56s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   48 (   7 unt;   0 def)
%            Number of atoms       :  113 (  15 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  124 (  59   ~;  57   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f535,plain,
    $false,
    inference(avatar_sat_refutation,[],[f241,f250,f281,f282,f284,f289,f294,f467,f523]) ).

fof(f523,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f522]) ).

fof(f522,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f521,f288]) ).

fof(f288,plain,
    ( segmentP(sk4,sk5)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl0_12
  <=> segmentP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f521,plain,
    ( ~ segmentP(sk4,sk5)
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f520,f249]) ).

fof(f249,plain,
    ( segmentP(sk3,sk5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_4
  <=> segmentP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f520,plain,
    ( ~ segmentP(sk3,sk5)
    | ~ segmentP(sk4,sk5)
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f518,f280]) ).

fof(f280,plain,
    ( ssList(sk5)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl0_11
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f518,plain,
    ( ~ ssList(sk5)
    | ~ segmentP(sk4,sk5)
    | ~ segmentP(sk3,sk5)
    | ~ spl0_13 ),
    inference(resolution,[],[f200,f293]) ).

fof(f293,plain,
    ( neq(sk5,nil)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl0_13
  <=> neq(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f200,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f192,f190,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ segmentP(sk2,X6)
      | ~ ssList(X6)
      | ~ segmentP(sk1,X6)
      | ~ neq(X6,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f467,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f466]) ).

fof(f466,plain,
    ( $false
    | spl0_1
    | spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f465,f236]) ).

fof(f236,plain,
    ( nil != sk4
    | spl0_1 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f465,plain,
    ( nil = sk4
    | spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f464,f263]) ).

fof(f263,plain,
    ( ssList(nil)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl0_8
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f464,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | spl0_3 ),
    inference(subsumption_resolution,[],[f459,f202]) ).

fof(f202,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f459,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4
    | spl0_3 ),
    inference(resolution,[],[f100,f245]) ).

fof(f245,plain,
    ( ~ neq(sk4,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f294,plain,
    ( ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f196,f291,f243]) ).

fof(f196,axiom,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f289,plain,
    ( ~ spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f197,f286,f243]) ).

fof(f197,axiom,
    ( segmentP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f284,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f8,f262]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f282,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f201,f238,f234]) ).

fof(f238,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f201,plain,
    ( nil != sk3
    | nil != sk4 ),
    inference(definition_unfolding,[],[f194,f191,f190]) ).

fof(f194,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f281,plain,
    ( ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f195,f278,f243]) ).

fof(f195,axiom,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f250,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f198,f247,f243]) ).

fof(f198,axiom,
    ( segmentP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f241,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f193,f238,f234]) ).

fof(f193,axiom,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC069-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:16:04 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.52  % (22796)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (22812)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (22796)Instruction limit reached!
% 0.19/0.53  % (22796)------------------------------
% 0.19/0.53  % (22796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (22796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (22796)Termination reason: Unknown
% 0.19/0.53  % (22796)Termination phase: Function definition elimination
% 0.19/0.53  
% 0.19/0.53  % (22796)Memory used [KB]: 1023
% 0.19/0.53  % (22796)Time elapsed: 0.003 s
% 0.19/0.53  % (22796)Instructions burned: 2 (million)
% 0.19/0.53  % (22796)------------------------------
% 0.19/0.53  % (22796)------------------------------
% 0.19/0.53  % (22804)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)
% 0.19/0.53  % (22803)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)
% 0.19/0.54  % (22800)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (22811)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)
% 0.19/0.55  % (22816)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (22792)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (22795)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (22791)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)
% 0.19/0.55  % (22795)Instruction limit reached!
% 0.19/0.55  % (22795)------------------------------
% 0.19/0.55  % (22795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (22817)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)
% 0.19/0.56  % (22805)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56  % (22812)First to succeed.
% 0.19/0.56  % (22793)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)
% 0.19/0.56  % (22807)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)
% 1.56/0.56  % (22795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (22795)Termination reason: Unknown
% 1.56/0.56  % (22795)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (22795)Memory used [KB]: 5756
% 1.56/0.56  % (22795)Time elapsed: 0.135 s
% 1.56/0.56  % (22795)Instructions burned: 8 (million)
% 1.56/0.56  % (22795)------------------------------
% 1.56/0.56  % (22795)------------------------------
% 1.56/0.56  % (22812)Refutation found. Thanks to Tanya!
% 1.56/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.56/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.56  % (22812)------------------------------
% 1.56/0.56  % (22812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (22812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (22812)Termination reason: Refutation
% 1.56/0.56  
% 1.56/0.56  % (22812)Memory used [KB]: 5884
% 1.56/0.56  % (22812)Time elapsed: 0.138 s
% 1.56/0.56  % (22812)Instructions burned: 19 (million)
% 1.56/0.56  % (22812)------------------------------
% 1.56/0.56  % (22812)------------------------------
% 1.56/0.56  % (22787)Success in time 0.217 s
%------------------------------------------------------------------------------