TSTP Solution File: SWC116-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC116-1 : 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 : n007.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 09:59:19 EDT 2024

% Result   : Unsatisfiable 0.20s 0.39s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (  12 unt;   0 def)
%            Number of atoms       :   57 (  23 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   61 (  33   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f559,plain,
    $false,
    inference(trivial_inequality_removal,[],[f558]) ).

fof(f558,plain,
    nil != nil,
    inference(superposition,[],[f550,f525]) ).

fof(f525,plain,
    nil = sk2,
    inference(backward_demodulation,[],[f190,f524]) ).

fof(f524,plain,
    nil = sk4,
    inference(resolution,[],[f523,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f523,plain,
    ( ~ ssList(nil)
    | nil = sk4 ),
    inference(resolution,[],[f522,f227]) ).

fof(f227,plain,
    ssList(sk4),
    inference(forward_demodulation,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f522,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(duplicate_literal_removal,[],[f521]) ).

fof(f521,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4
    | ~ ssList(nil)
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(resolution,[],[f518,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f518,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(resolution,[],[f512,f231]) ).

fof(f231,plain,
    ( segmentP(sk4,sk1)
    | ~ neq(sk4,nil) ),
    inference(forward_demodulation,[],[f196,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

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

fof(f512,plain,
    ( ~ segmentP(sk4,sk1)
    | nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil) ),
    inference(resolution,[],[f100,f233]) ).

fof(f233,plain,
    ( ~ neq(sk4,nil)
    | ~ segmentP(sk4,sk1) ),
    inference(resolution,[],[f230,f229]) ).

fof(f229,plain,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk4,sk1) ),
    inference(forward_demodulation,[],[f194,f190]) ).

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

fof(f230,plain,
    ( neq(sk1,nil)
    | ~ neq(sk4,nil) ),
    inference(forward_demodulation,[],[f195,f191]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f550,plain,
    nil != sk2,
    inference(trivial_inequality_removal,[],[f544]) ).

fof(f544,plain,
    ( nil != nil
    | nil != sk2 ),
    inference(backward_demodulation,[],[f193,f542]) ).

fof(f542,plain,
    nil = sk1,
    inference(backward_demodulation,[],[f191,f541]) ).

fof(f541,plain,
    nil = sk3,
    inference(trivial_inequality_removal,[],[f526]) ).

fof(f526,plain,
    ( nil != nil
    | nil = sk3 ),
    inference(backward_demodulation,[],[f192,f524]) ).

fof(f192,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f193,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC116-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 20:35:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (10857)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (10860)WARNING: value z3 for option sas not known
% 0.13/0.37  % (10863)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)
% 0.13/0.37  % (10859)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (10864)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)
% 0.13/0.37  % (10860)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)
% 0.13/0.37  % (10861)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (10862)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)
% 0.13/0.37  % (10858)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.39  % (10863)First to succeed.
% 0.13/0.39  % (10860)Also succeeded, but the first one will report.
% 0.20/0.39  % (10863)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10857"
% 0.20/0.39  % (10863)Refutation found. Thanks to Tanya!
% 0.20/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39  % (10863)------------------------------
% 0.20/0.39  % (10863)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39  % (10863)Termination reason: Refutation
% 0.20/0.39  
% 0.20/0.39  % (10863)Memory used [KB]: 1314
% 0.20/0.39  % (10863)Time elapsed: 0.018 s
% 0.20/0.39  % (10863)Instructions burned: 33 (million)
% 0.20/0.39  % (10857)Success in time 0.037 s
%------------------------------------------------------------------------------