TSTP Solution File: SWC294-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC294-1 : 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 : n014.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 18:42:57 EDT 2022

% Result   : Unsatisfiable 1.32s 0.55s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   44 (  15 unt;   0 def)
%            Number of atoms       :   94 (  12 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   91 (  41   ~;  46   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f519,plain,
    $false,
    inference(avatar_sat_refutation,[],[f244,f257,f258,f475,f515]) ).

fof(f515,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f514]) ).

fof(f514,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f513,f195]) ).

fof(f195,plain,
    ~ strictorderedP(sk3),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    ~ strictorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f513,plain,
    ( strictorderedP(sk3)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f501,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f501,plain,
    ( ~ ssItem(skaf44(sk3))
    | strictorderedP(sk3)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f234,f483]) ).

fof(f483,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f482,f197]) ).

fof(f197,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f482,plain,
    ( ~ ssList(sk3)
    | sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_4 ),
    inference(resolution,[],[f101,f243]) ).

fof(f243,plain,
    ( singletonP(sk3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl0_4
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f234,plain,
    ( ! [X1] :
        ( strictorderedP(cons(X1,nil))
        | ~ ssItem(X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl0_2
  <=> ! [X1] :
        ( strictorderedP(cons(X1,nil))
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f475,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

fof(f474,plain,
    ( $false
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f472,f3]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f472,plain,
    ( ~ strictorderedP(nil)
    | ~ spl0_1
    | spl0_3 ),
    inference(backward_demodulation,[],[f195,f467]) ).

fof(f467,plain,
    ( nil = sk3
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f466,f197]) ).

fof(f466,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_1
    | spl0_3 ),
    inference(resolution,[],[f463,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f463,plain,
    ( segmentP(nil,sk3)
    | ~ spl0_1
    | spl0_3 ),
    inference(backward_demodulation,[],[f192,f457]) ).

fof(f457,plain,
    ( nil = sk4
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f456,f230]) ).

fof(f230,plain,
    ( ssList(nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl0_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f456,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f451,f196]) ).

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

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

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

fof(f451,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | ~ ssList(nil)
    | spl0_3 ),
    inference(resolution,[],[f100,f239]) ).

fof(f239,plain,
    ( ~ neq(sk4,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f258,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f8,f229]) ).

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

fof(f257,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f66,f233]) ).

fof(f66,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f244,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f194,f241,f237]) ).

fof(f194,axiom,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC294-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:45:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (27929)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)
% 0.20/0.51  % (27954)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.19/0.52  % (27948)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.19/0.53  % (27938)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.19/0.53  % (27938)Instruction limit reached!
% 1.19/0.53  % (27938)------------------------------
% 1.19/0.53  % (27938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53  % (27943)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.53  % (27945)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)
% 1.32/0.53  % (27936)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)
% 1.32/0.53  % (27941)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)
% 1.32/0.53  % (27947)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.54  % (27953)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)
% 1.32/0.54  % (27938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (27938)Termination reason: Unknown
% 1.32/0.54  % (27938)Termination phase: Property scanning
% 1.32/0.54  
% 1.32/0.54  % (27938)Memory used [KB]: 1151
% 1.32/0.54  % (27938)Time elapsed: 0.004 s
% 1.32/0.54  % (27938)Instructions burned: 2 (million)
% 1.32/0.54  % (27938)------------------------------
% 1.32/0.54  % (27938)------------------------------
% 1.32/0.54  % (27935)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)
% 1.32/0.54  % (27937)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.54  % (27930)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)
% 1.32/0.54  % (27931)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)
% 1.32/0.54  % (27942)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.32/0.54  % (27932)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)
% 1.32/0.54  % (27954)First to succeed.
% 1.32/0.55  % (27954)Refutation found. Thanks to Tanya!
% 1.32/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.32/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.55  % (27954)------------------------------
% 1.32/0.55  % (27954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.55  % (27954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.55  % (27954)Termination reason: Refutation
% 1.32/0.55  
% 1.32/0.55  % (27954)Memory used [KB]: 5884
% 1.32/0.55  % (27954)Time elapsed: 0.126 s
% 1.32/0.55  % (27954)Instructions burned: 20 (million)
% 1.32/0.55  % (27954)------------------------------
% 1.32/0.55  % (27954)------------------------------
% 1.32/0.55  % (27926)Success in time 0.188 s
%------------------------------------------------------------------------------