TSTP Solution File: SWC328-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC328-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 : Tue May 21 05:13:14 EDT 2024

% Result   : Unsatisfiable 0.20s 0.38s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   41
% Syntax   : Number of formulae    :   82 (  40 unt;   0 def)
%            Number of atoms       :  135 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   96 (  43   ~;  34   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   35 (  33 usr;  20 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f368,plain,
    $false,
    inference(avatar_sat_refutation,[],[f283,f288,f293,f298,f303,f308,f313,f318,f323,f328,f333,f337,f341,f345,f349,f354,f358,f362,f366,f367]) ).

fof(f367,plain,
    ( ~ spl0_2
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f350,f343,f330,f285]) ).

fof(f285,plain,
    ( spl0_2
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f330,plain,
    ( spl0_11
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f343,plain,
    ( spl0_14
  <=> ! [X0] :
        ( ~ ssList(X0)
        | segmentP(X0,sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f350,plain,
    ( ~ ssList(sk4)
    | spl0_11
    | ~ spl0_14 ),
    inference(resolution,[],[f344,f332]) ).

fof(f332,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f344,plain,
    ( ! [X0] :
        ( segmentP(X0,sk3)
        | ~ ssList(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f366,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f210,f364]) ).

fof(f364,plain,
    ( spl0_19
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | totalorderP(cons(X0,sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderP(cons(X0,sk3)) ),
    inference(definition_unfolding,[],[f69,f190]) ).

fof(f190,axiom,
    nil = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f69,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

fof(f362,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f209,f360]) ).

fof(f360,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | strictorderP(cons(X0,sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderP(cons(X0,sk3)) ),
    inference(definition_unfolding,[],[f68,f190]) ).

fof(f68,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f358,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f208,f356]) ).

fof(f356,plain,
    ( spl0_17
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | equalelemsP(cons(X0,sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | equalelemsP(cons(X0,sk3)) ),
    inference(definition_unfolding,[],[f64,f190]) ).

fof(f64,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | equalelemsP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f354,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f207,f352]) ).

fof(f352,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | duplicatefreeP(cons(X0,sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | duplicatefreeP(cons(X0,sk3)) ),
    inference(definition_unfolding,[],[f65,f190]) ).

fof(f65,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | duplicatefreeP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f349,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f216,f347]) ).

fof(f347,plain,
    ( spl0_15
  <=> ! [X0] :
        ( ~ ssList(X0)
        | frontsegP(X0,sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(X0,sk3) ),
    inference(definition_unfolding,[],[f60,f190]) ).

fof(f60,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f345,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f215,f343]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,sk3) ),
    inference(definition_unfolding,[],[f56,f190]) ).

fof(f56,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f341,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f214,f339]) ).

fof(f339,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ ssList(X0)
        | rearsegP(X0,sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | rearsegP(X0,sk3) ),
    inference(definition_unfolding,[],[f58,f190]) ).

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

fof(f337,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f206,f335]) ).

fof(f335,plain,
    ( spl0_12
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | ~ memberP(sk3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(sk3,X0) ),
    inference(definition_unfolding,[],[f71,f190]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f333,plain,
    ( ~ spl0_11
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f196,f300,f330]) ).

fof(f300,plain,
    ( spl0_5
  <=> equalelemsP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f196,plain,
    ( ~ equalelemsP(sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f193,f192,f191,f192]) ).

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

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

fof(f193,axiom,
    ( ~ equalelemsP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f328,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f204,f325]) ).

fof(f325,plain,
    ( spl0_10
  <=> strictorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f204,plain,
    strictorderedP(sk3),
    inference(definition_unfolding,[],[f3,f190]) ).

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

fof(f323,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f203,f320]) ).

fof(f320,plain,
    ( spl0_9
  <=> totalorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f203,plain,
    totalorderedP(sk3),
    inference(definition_unfolding,[],[f4,f190]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f318,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f202,f315]) ).

fof(f315,plain,
    ( spl0_8
  <=> cyclefreeP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f202,plain,
    cyclefreeP(sk3),
    inference(definition_unfolding,[],[f7,f190]) ).

fof(f7,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f313,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f201,f310]) ).

fof(f310,plain,
    ( spl0_7
  <=> totalorderP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f201,plain,
    totalorderP(sk3),
    inference(definition_unfolding,[],[f6,f190]) ).

fof(f6,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f308,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f200,f305]) ).

fof(f305,plain,
    ( spl0_6
  <=> strictorderP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f200,plain,
    strictorderP(sk3),
    inference(definition_unfolding,[],[f5,f190]) ).

fof(f5,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f303,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f199,f300]) ).

fof(f199,plain,
    equalelemsP(sk3),
    inference(definition_unfolding,[],[f1,f190]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f298,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f198,f295]) ).

fof(f295,plain,
    ( spl0_4
  <=> duplicatefreeP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f198,plain,
    duplicatefreeP(sk3),
    inference(definition_unfolding,[],[f2,f190]) ).

fof(f2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f293,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f197,f290]) ).

fof(f290,plain,
    ( spl0_3
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f197,plain,
    ~ singletonP(sk3),
    inference(definition_unfolding,[],[f11,f190]) ).

fof(f11,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f288,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f189,f285]) ).

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

fof(f283,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f188,f280]) ).

fof(f280,plain,
    ( spl0_1
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC328-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 03:36:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (5678)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (5681)WARNING: value z3 for option sas not known
% 0.20/0.37  % (5681)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38  % (5685)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38  % (5684)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38  % (5683)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38  % (5682)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38  % (5680)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38  % (5679)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38  % (5683)First to succeed.
% 0.20/0.38  % (5684)Also succeeded, but the first one will report.
% 0.20/0.38  % (5681)Also succeeded, but the first one will report.
% 0.20/0.38  % (5683)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5678"
% 0.20/0.38  % (5683)Refutation found. Thanks to Tanya!
% 0.20/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38  % (5683)------------------------------
% 0.20/0.38  % (5683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38  % (5683)Termination reason: Refutation
% 0.20/0.38  
% 0.20/0.38  % (5683)Memory used [KB]: 1057
% 0.20/0.38  % (5683)Time elapsed: 0.006 s
% 0.20/0.38  % (5683)Instructions burned: 10 (million)
% 0.20/0.38  % (5678)Success in time 0.026 s
%------------------------------------------------------------------------------