TSTP Solution File: SWC043-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC043-1 : 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 : n010.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 18:41:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   37 (  10 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   38 (  20   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f316,plain,
    $false,
    inference(unit_resulting_resolution,[],[f188,f243,f315,f242]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ frontsegP(sk4,X0)
      | sk4 = X0
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f84,f199,f199]) ).

fof(f199,plain,
    nil = sk4,
    inference(definition_unfolding,[],[f190,f191]) ).

fof(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

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

fof(f84,axiom,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ frontsegP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f315,plain,
    frontsegP(sk4,sk3),
    inference(subsumption_resolution,[],[f314,f188]) ).

fof(f314,plain,
    ( ~ ssList(sk3)
    | frontsegP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f313,f194]) ).

fof(f194,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f313,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk5)
    | ~ ssList(sk3) ),
    inference(superposition,[],[f310,f195]) ).

fof(f195,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f310,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f262,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f262,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | frontsegP(app(X0,X1),X0) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(X2,X0)
      | ~ ssList(X1)
      | app(X0,X1) != X2
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f243,plain,
    sk3 != sk4,
    inference(definition_unfolding,[],[f193,f199,f192]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC043-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % 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 : n010.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 18:05:28 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.43  % (1856)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.44  % (1856)Instruction limit reached!
% 0.20/0.44  % (1856)------------------------------
% 0.20/0.44  % (1856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44  % (1849)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)
% 0.20/0.44  % (1856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44  % (1856)Termination reason: Unknown
% 0.20/0.44  % (1856)Termination phase: Function definition elimination
% 0.20/0.44  
% 0.20/0.44  % (1856)Memory used [KB]: 1151
% 0.20/0.44  % (1856)Time elapsed: 0.004 s
% 0.20/0.44  % (1856)Instructions burned: 2 (million)
% 0.20/0.44  % (1856)------------------------------
% 0.20/0.44  % (1856)------------------------------
% 0.20/0.46  % (1849)First to succeed.
% 0.20/0.47  % (1864)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)
% 0.20/0.47  % (1849)Refutation found. Thanks to Tanya!
% 0.20/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47  % (1849)------------------------------
% 0.20/0.47  % (1849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (1849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (1849)Termination reason: Refutation
% 0.20/0.47  
% 0.20/0.47  % (1849)Memory used [KB]: 5756
% 0.20/0.47  % (1849)Time elapsed: 0.083 s
% 0.20/0.47  % (1849)Instructions burned: 11 (million)
% 0.20/0.47  % (1849)------------------------------
% 0.20/0.47  % (1849)------------------------------
% 0.20/0.47  % (1843)Success in time 0.12 s
%------------------------------------------------------------------------------