TSTP Solution File: SWC292-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC292-1 : 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 : n026.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 18:42:56 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   46 (  18 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  18   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f458,plain,
    $false,
    inference(subsumption_resolution,[],[f453,f262]) ).

fof(f262,plain,
    ~ strictorderedP(nil),
    inference(consistent_polarity_flipping,[],[f3]) ).

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

fof(f453,plain,
    strictorderedP(nil),
    inference(superposition,[],[f245,f442]) ).

fof(f442,plain,
    nil = sk3,
    inference(trivial_inequality_removal,[],[f433]) ).

fof(f433,plain,
    ( nil = sk3
    | nil != nil ),
    inference(superposition,[],[f193,f423]) ).

fof(f423,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f422,f392]) ).

fof(f392,plain,
    ( ssItem(sk5)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f390,f8]) ).

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

fof(f390,plain,
    ( nil = sk4
    | ssItem(sk5)
    | ~ ssList(nil) ),
    inference(resolution,[],[f349,f194]) ).

fof(f194,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f349,plain,
    ! [X7] :
      ( neq(sk4,X7)
      | sk4 = X7
      | ~ ssList(X7) ),
    inference(resolution,[],[f100,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

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

fof(f422,plain,
    ( ~ ssItem(sk5)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f411,f245]) ).

fof(f411,plain,
    ( nil = sk4
    | ~ ssItem(sk5)
    | ~ strictorderedP(sk3) ),
    inference(superposition,[],[f252,f393]) ).

fof(f393,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f388,f8]) ).

fof(f388,plain,
    ( ~ ssList(nil)
    | sk3 = cons(sk5,nil)
    | nil = sk4 ),
    inference(resolution,[],[f349,f195]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f252,plain,
    ! [X0] :
      ( ~ strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

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

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

fof(f245,plain,
    strictorderedP(sk3),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f197,plain,
    ~ strictorderedP(sk3),
    inference(definition_unfolding,[],[f192,f191]) ).

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

fof(f192,axiom,
    ~ strictorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SWC292-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % 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 : n026.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:58:36 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.45  % (7457)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48  % (7472)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)
% 0.19/0.49  % (7472)First to succeed.
% 0.19/0.49  % (7464)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)
% 0.19/0.49  % (7481)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.49  % (7465)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49  % (7480)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51  % (7472)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (7472)------------------------------
% 0.19/0.51  % (7472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (7472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (7472)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (7472)Memory used [KB]: 1279
% 0.19/0.51  % (7472)Time elapsed: 0.105 s
% 0.19/0.51  % (7472)Instructions burned: 16 (million)
% 0.19/0.51  % (7472)------------------------------
% 0.19/0.51  % (7472)------------------------------
% 0.19/0.51  % (7452)Success in time 0.161 s
%------------------------------------------------------------------------------