TSTP Solution File: SWC373-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC373-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 : Sun May  5 10:25:21 EDT 2024

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  15 unt;   0 def)
%            Number of atoms       :   57 (   9 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   64 (  34   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6883,plain,
    $false,
    inference(subsumption_resolution,[],[f6882,f187]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f6882,plain,
    ~ ssList(sk2),
    inference(forward_demodulation,[],[f6881,f302]) ).

fof(f302,plain,
    sk2 = app(sk2,nil),
    inference(resolution,[],[f73,f187]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f6881,plain,
    ~ ssList(app(sk2,nil)),
    inference(subsumption_resolution,[],[f6880,f8]) ).

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

fof(f6880,plain,
    ( ~ ssList(app(sk2,nil))
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f6873,f193]) ).

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

fof(f6873,plain,
    ( segmentP(sk2,sk1)
    | ~ ssList(app(sk2,nil))
    | ~ ssList(nil) ),
    inference(superposition,[],[f6780,f302]) ).

fof(f6780,plain,
    ! [X0] :
      ( segmentP(app(sk2,X0),sk1)
      | ~ ssList(app(sk2,X0))
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f6779,f1937]) ).

fof(f1937,plain,
    sk2 = app(skaf46(sk2,sk1),sk1),
    inference(subsumption_resolution,[],[f1936,f186]) ).

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

fof(f1936,plain,
    ( ~ ssList(sk1)
    | sk2 = app(skaf46(sk2,sk1),sk1) ),
    inference(subsumption_resolution,[],[f1927,f187]) ).

fof(f1927,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk1)
    | sk2 = app(skaf46(sk2,sk1),sk1) ),
    inference(resolution,[],[f131,f231]) ).

fof(f231,plain,
    rearsegP(sk2,sk1),
    inference(forward_demodulation,[],[f230,f190]) ).

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

fof(f230,plain,
    rearsegP(sk4,sk1),
    inference(forward_demodulation,[],[f192,f191]) ).

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

fof(f192,axiom,
    rearsegP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f131,axiom,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(skaf46(X0,X1),X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

fof(f6779,plain,
    ! [X0] :
      ( segmentP(app(sk2,X0),sk1)
      | ~ ssList(app(app(skaf46(sk2,sk1),sk1),X0))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f6778,f50]) ).

fof(f50,axiom,
    ! [X0,X1] : ssList(skaf46(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f6778,plain,
    ! [X0] :
      ( segmentP(app(sk2,X0),sk1)
      | ~ ssList(app(app(skaf46(sk2,sk1),sk1),X0))
      | ~ ssList(skaf46(sk2,sk1))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f6579,f186]) ).

fof(f6579,plain,
    ! [X0] :
      ( segmentP(app(sk2,X0),sk1)
      | ~ ssList(app(app(skaf46(sk2,sk1),sk1),X0))
      | ~ ssList(sk1)
      | ~ ssList(skaf46(sk2,sk1))
      | ~ ssList(X0) ),
    inference(superposition,[],[f209,f1937]) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X3,X1)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC373-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:32:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (22395)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (22399)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (22398)WARNING: value z3 for option sas not known
% 0.14/0.38  % (22396)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (22397)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (22398)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)
% 0.14/0.38  % (22400)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)
% 0.14/0.38  % (22401)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)
% 0.14/0.38  % (22402)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)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.40  TRYING [3]
% 0.20/0.43  TRYING [1]
% 0.20/0.44  TRYING [4]
% 0.20/0.44  TRYING [2]
% 0.20/0.50  TRYING [3]
% 0.20/0.55  TRYING [5]
% 0.20/0.56  % (22398)First to succeed.
% 0.20/0.56  % (22398)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22395"
% 0.20/0.56  % (22398)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (22398)------------------------------
% 0.20/0.56  % (22398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.56  % (22398)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (22398)Memory used [KB]: 4117
% 0.20/0.56  % (22398)Time elapsed: 0.186 s
% 0.20/0.56  % (22398)Instructions burned: 563 (million)
% 0.20/0.56  % (22395)Success in time 0.207 s
%------------------------------------------------------------------------------