TSTP Solution File: SWC254-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC254-1 : 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 : n017.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 18:42:43 EDT 2022

% Result   : Unsatisfiable 1.31s 0.53s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   33 (   7 unt;   0 def)
%            Number of atoms       :   71 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   72 (  34   ~;  34   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1063,plain,
    $false,
    inference(avatar_sat_refutation,[],[f294,f311,f312,f313,f1062]) ).

fof(f1062,plain,
    ( ~ spl2_6
    | ~ spl2_7
    | spl2_9 ),
    inference(avatar_contradiction_clause,[],[f1061]) ).

fof(f1061,plain,
    ( $false
    | ~ spl2_6
    | ~ spl2_7
    | spl2_9 ),
    inference(subsumption_resolution,[],[f1060,f293]) ).

fof(f293,plain,
    ( ~ singletonP(sk3)
    | spl2_9 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl2_9
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f1060,plain,
    ( singletonP(sk3)
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f1059,f276]) ).

fof(f276,plain,
    ( sk3 = sF0
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl2_6
  <=> sk3 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f1059,plain,
    ( singletonP(sF0)
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(subsumption_resolution,[],[f1058,f188]) ).

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

fof(f1058,plain,
    ( singletonP(sF0)
    | ~ ssList(sk3)
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f1057,f276]) ).

fof(f1057,plain,
    ( ~ ssList(sF0)
    | singletonP(sF0)
    | ~ spl2_7 ),
    inference(subsumption_resolution,[],[f1054,f282]) ).

fof(f282,plain,
    ( ssItem(sk5)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl2_7
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f1054,plain,
    ( ~ ssList(sF0)
    | singletonP(sF0)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f228,f238]) ).

fof(f238,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[]) ).

fof(f228,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | singletonP(cons(X0,nil)) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | singletonP(X1)
      | cons(X0,nil) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f313,plain,
    ( spl2_6
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f239,f256,f274]) ).

fof(f256,plain,
    ( spl2_2
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f239,plain,
    ( ~ neq(sk4,nil)
    | sk3 = sF0 ),
    inference(definition_folding,[],[f201,f238]) ).

fof(f201,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f312,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f247,f256]) ).

fof(f247,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f212,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

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

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f311,plain,
    ( spl2_7
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f199,f256,f280]) ).

fof(f199,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f294,plain,
    ( ~ spl2_2
    | ~ spl2_9 ),
    inference(avatar_split_clause,[],[f209,f291,f256]) ).

fof(f209,plain,
    ( ~ singletonP(sk3)
    | ~ neq(sk4,nil) ),
    inference(definition_unfolding,[],[f203,f191]) ).

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

fof(f203,axiom,
    ( ~ neq(sk4,nil)
    | ~ singletonP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC254-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % 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 : n017.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 18:03:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  % (16522)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.47  % (16514)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  % (16508)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)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  % (16505)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (16505)Instruction limit reached!
% 0.19/0.51  % (16505)------------------------------
% 0.19/0.51  % (16505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (16505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (16505)Termination reason: Unknown
% 0.19/0.51  % (16505)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (16505)Memory used [KB]: 1151
% 0.19/0.51  % (16505)Time elapsed: 0.005 s
% 0.19/0.51  % (16505)Instructions burned: 3 (million)
% 0.19/0.51  % (16505)------------------------------
% 0.19/0.51  % (16505)------------------------------
% 1.31/0.52  % (16501)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.52  % (16519)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)
% 1.31/0.52  % (16499)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)
% 1.31/0.52  % (16522)First to succeed.
% 1.31/0.52  % (16511)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)
% 1.31/0.52  % (16503)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)
% 1.31/0.52  TRYING [3]
% 1.31/0.52  % (16497)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)
% 1.31/0.53  % (16522)Refutation found. Thanks to Tanya!
% 1.31/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.31/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.53  % (16522)------------------------------
% 1.31/0.53  % (16522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (16522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (16522)Termination reason: Refutation
% 1.31/0.53  
% 1.31/0.53  % (16522)Memory used [KB]: 6268
% 1.31/0.53  % (16522)Time elapsed: 0.101 s
% 1.31/0.53  % (16522)Instructions burned: 40 (million)
% 1.31/0.53  % (16522)------------------------------
% 1.31/0.53  % (16522)------------------------------
% 1.31/0.53  % (16496)Success in time 0.181 s
%------------------------------------------------------------------------------