TSTP Solution File: SWC048-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC048-1 : 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 : n016.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 18:41:23 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   39 (   8 unt;   0 def)
%            Number of atoms       :  103 (  41 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  130 (  66   ~;  64   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f351,plain,
    $false,
    inference(subsumption_resolution,[],[f350,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f350,plain,
    ~ ssList(sk3),
    inference(subsumption_resolution,[],[f349,f277]) ).

fof(f277,plain,
    nil != sk3,
    inference(subsumption_resolution,[],[f276,f188]) ).

fof(f276,plain,
    ( nil != sk3
    | ~ ssList(sk3) ),
    inference(resolution,[],[f275,f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f275,plain,
    ( ~ rearsegP(sk3,nil)
    | nil != sk3 ),
    inference(forward_demodulation,[],[f262,f264]) ).

fof(f264,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f259,f188]) ).

fof(f259,plain,
    ( ~ ssList(sk3)
    | nil = sk4 ),
    inference(resolution,[],[f59,f253]) ).

fof(f253,plain,
    ( ~ rearsegP(sk3,sk3)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f252,f243]) ).

fof(f243,plain,
    ( ~ rearsegP(sk3,sk3)
    | nil = sk4
    | nil != sk3 ),
    inference(subsumption_resolution,[],[f242,f197]) ).

fof(f197,axiom,
    ( rearsegP(sk4,sk3)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f242,plain,
    ( nil = sk4
    | nil != sk3
    | ~ rearsegP(sk4,sk3)
    | ~ rearsegP(sk3,sk3) ),
    inference(subsumption_resolution,[],[f237,f188]) ).

fof(f237,plain,
    ( nil != sk3
    | ~ rearsegP(sk3,sk3)
    | nil = sk4
    | ~ ssList(sk3)
    | ~ rearsegP(sk4,sk3) ),
    inference(resolution,[],[f200,f196]) ).

fof(f196,axiom,
    ( neq(sk3,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f200,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ rearsegP(sk4,X6)
      | ~ rearsegP(sk3,X6)
      | nil != sk3 ),
    inference(definition_unfolding,[],[f195,f190,f191,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(f195,axiom,
    ! [X6] :
      ( ~ rearsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk1
      | ~ rearsegP(sk1,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f252,plain,
    ( nil = sk4
    | ~ rearsegP(sk3,sk3)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f251,f199]) ).

fof(f199,axiom,
    ( rearsegP(sk4,sk3)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f251,plain,
    ( ~ rearsegP(sk3,sk3)
    | nil = sk3
    | nil = sk4
    | ~ rearsegP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f245,f188]) ).

fof(f245,plain,
    ( ~ rearsegP(sk3,sk3)
    | ~ ssList(sk3)
    | nil = sk4
    | nil = sk3
    | ~ rearsegP(sk4,sk3) ),
    inference(resolution,[],[f204,f198]) ).

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

fof(f204,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | nil = sk4
      | ~ rearsegP(sk3,X6)
      | ~ ssList(X6)
      | ~ rearsegP(sk4,X6) ),
    inference(definition_unfolding,[],[f193,f191,f190,f190]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ rearsegP(sk1,X6)
      | nil = sk2
      | ~ rearsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f59,axiom,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f262,plain,
    ( nil != sk3
    | ~ rearsegP(sk3,sk4) ),
    inference(subsumption_resolution,[],[f258,f189]) ).

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

fof(f258,plain,
    ( ~ rearsegP(sk3,sk4)
    | ~ ssList(sk4)
    | nil != sk3 ),
    inference(resolution,[],[f59,f241]) ).

fof(f241,plain,
    ( ~ rearsegP(sk4,sk4)
    | nil != sk3
    | ~ rearsegP(sk3,sk4) ),
    inference(subsumption_resolution,[],[f240,f189]) ).

fof(f240,plain,
    ( ~ ssList(sk4)
    | ~ rearsegP(sk4,sk4)
    | ~ rearsegP(sk3,sk4)
    | nil != sk3 ),
    inference(duplicate_literal_removal,[],[f239]) ).

fof(f239,plain,
    ( nil != sk3
    | nil != sk3
    | ~ ssList(sk4)
    | ~ rearsegP(sk3,sk4)
    | ~ rearsegP(sk4,sk4) ),
    inference(resolution,[],[f200,f203]) ).

fof(f203,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f194,f191,f190]) ).

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

fof(f349,plain,
    ( nil = sk3
    | ~ ssList(sk3) ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f344,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | nil = sk3 ),
    inference(resolution,[],[f82,f266]) ).

fof(f266,plain,
    ( rearsegP(nil,sk3)
    | nil = sk3 ),
    inference(backward_demodulation,[],[f199,f264]) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC048-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 18:24:31 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (27594)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)
% 0.19/0.49  % (27585)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (27581)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (27594)First to succeed.
% 0.19/0.51  % (27594)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  % (27594)------------------------------
% 0.19/0.51  % (27594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (27594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (27594)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (27594)Memory used [KB]: 1279
% 0.19/0.51  % (27594)Time elapsed: 0.071 s
% 0.19/0.51  % (27594)Instructions burned: 12 (million)
% 0.19/0.51  % (27594)------------------------------
% 0.19/0.51  % (27594)------------------------------
% 0.19/0.51  % (27561)Success in time 0.164 s
%------------------------------------------------------------------------------