TSTP Solution File: SWC200-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC200-1 : 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 : n013.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 05:02:55 EDT 2024

% Result   : Unsatisfiable 0.23s 0.54s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   43 (  17 unt;   0 def)
%            Number of atoms       :   95 (  29 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  106 (  54   ~;  52   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5426,plain,
    $false,
    inference(equality_resolution,[],[f5415]) ).

fof(f5415,plain,
    ! [X0] : skaf83(X0) != skaf83(sk1),
    inference(subsumption_resolution,[],[f5411,f12]) ).

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f5411,plain,
    ! [X0] :
      ( skaf83(X0) != skaf83(sk1)
      | ~ ssItem(skaf83(X0)) ),
    inference(superposition,[],[f195,f5313]) ).

fof(f5313,plain,
    ! [X0] : sk5(skaf83(X0)) = skaf83(sk1),
    inference(resolution,[],[f5310,f12]) ).

fof(f5310,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | sk5(X0) = skaf83(sk1) ),
    inference(forward_demodulation,[],[f5228,f5226]) ).

fof(f5226,plain,
    skaf44(sk1) = skaf83(sk1),
    inference(subsumption_resolution,[],[f5222,f12]) ).

fof(f5222,plain,
    ( ~ ssItem(skaf83(sk1))
    | skaf44(sk1) = skaf83(sk1) ),
    inference(resolution,[],[f5207,f1018]) ).

fof(f1018,plain,
    memberP(sk1,skaf83(sk1)),
    inference(subsumption_resolution,[],[f1017,f12]) ).

fof(f1017,plain,
    ( memberP(sk1,skaf83(sk1))
    | ~ ssItem(skaf83(sk1)) ),
    inference(subsumption_resolution,[],[f1012,f13]) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f1012,plain,
    ( memberP(sk1,skaf83(sk1))
    | ~ ssList(skaf82(sk1))
    | ~ ssItem(skaf83(sk1)) ),
    inference(superposition,[],[f222,f1006]) ).

fof(f1006,plain,
    sk1 = cons(skaf83(sk1),skaf82(sk1)),
    inference(subsumption_resolution,[],[f1001,f670]) ).

fof(f670,plain,
    nil != sk1,
    inference(subsumption_resolution,[],[f669,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f669,plain,
    ( nil != sk1
    | ~ ssItem(skaf44(sk1)) ),
    inference(subsumption_resolution,[],[f657,f8]) ).

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

fof(f657,plain,
    ( nil != sk1
    | ~ ssList(nil)
    | ~ ssItem(skaf44(sk1)) ),
    inference(superposition,[],[f99,f647]) ).

fof(f647,plain,
    sk1 = cons(skaf44(sk1),nil),
    inference(forward_demodulation,[],[f646,f191]) ).

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

fof(f646,plain,
    sk3 = cons(skaf44(sk3),nil),
    inference(subsumption_resolution,[],[f644,f188]) ).

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

fof(f644,plain,
    ( ~ ssList(sk3)
    | sk3 = cons(skaf44(sk3),nil) ),
    inference(resolution,[],[f101,f192]) ).

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

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f1001,plain,
    ( nil = sk1
    | sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
    inference(resolution,[],[f109,f186]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f109,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(skaf83(X0),skaf82(X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f222,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,plain,
    ! [X2,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | memberP(cons(X1,X2),X1) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | X0 != X1
      | memberP(cons(X1,X2),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f5207,plain,
    ! [X0] :
      ( ~ memberP(sk1,X0)
      | ~ ssItem(X0)
      | skaf44(sk1) = X0 ),
    inference(subsumption_resolution,[],[f5206,f71]) ).

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

fof(f5206,plain,
    ! [X0] :
      ( ~ memberP(sk1,X0)
      | ~ ssItem(X0)
      | skaf44(sk1) = X0
      | memberP(nil,X0) ),
    inference(subsumption_resolution,[],[f5205,f47]) ).

fof(f5205,plain,
    ! [X0] :
      ( ~ memberP(sk1,X0)
      | ~ ssItem(X0)
      | skaf44(sk1) = X0
      | memberP(nil,X0)
      | ~ ssItem(skaf44(sk1)) ),
    inference(subsumption_resolution,[],[f5196,f8]) ).

fof(f5196,plain,
    ! [X0] :
      ( ~ memberP(sk1,X0)
      | ~ ssItem(X0)
      | ~ ssList(nil)
      | skaf44(sk1) = X0
      | memberP(nil,X0)
      | ~ ssItem(skaf44(sk1)) ),
    inference(superposition,[],[f161,f647]) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | X0 = X2
      | memberP(X1,X2)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f5228,plain,
    ! [X0] :
      ( sk5(X0) = skaf44(sk1)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f5225,f193]) ).

fof(f193,axiom,
    ! [X6] :
      ( ssItem(sk5(X6))
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f5225,plain,
    ! [X0] :
      ( ~ ssItem(sk5(X0))
      | sk5(X0) = skaf44(sk1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f5207,f194]) ).

fof(f194,axiom,
    ! [X6] :
      ( memberP(sk1,sk5(X6))
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f195,axiom,
    ! [X6] :
      ( sk5(X6) != X6
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWC200-1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37  % Computer : n013.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sun May 19 03:07:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.38  % (19484)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (19487)WARNING: value z3 for option sas not known
% 0.16/0.40  % (19485)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40  % (19486)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.40  % (19489)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)
% 0.16/0.40  % (19491)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)
% 0.16/0.40  % (19488)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40  % (19490)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)
% 0.16/0.40  % (19487)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)
% 0.23/0.41  TRYING [1]
% 0.23/0.41  TRYING [2]
% 0.23/0.42  TRYING [3]
% 0.23/0.45  TRYING [1]
% 0.23/0.46  TRYING [2]
% 0.23/0.47  TRYING [4]
% 0.23/0.53  TRYING [3]
% 0.23/0.54  % (19487)First to succeed.
% 0.23/0.54  % (19487)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19484"
% 0.23/0.54  % (19487)Refutation found. Thanks to Tanya!
% 0.23/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.54  % (19487)------------------------------
% 0.23/0.54  % (19487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.54  % (19487)Termination reason: Refutation
% 0.23/0.54  
% 0.23/0.54  % (19487)Memory used [KB]: 3378
% 0.23/0.54  % (19487)Time elapsed: 0.143 s
% 0.23/0.54  % (19487)Instructions burned: 371 (million)
% 0.23/0.54  % (19484)Success in time 0.154 s
%------------------------------------------------------------------------------