TSTP Solution File: SWC217-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC217-1 : 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 : n009.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 Apr 30 16:11:29 EDT 2024

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   38 (  11 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  21   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f526,plain,
    $false,
    inference(resolution,[],[f524,f8]) ).

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

fof(f524,plain,
    ~ ssList(nil),
    inference(resolution,[],[f519,f232]) ).

fof(f232,plain,
    ssItem(sk5),
    inference(resolution,[],[f195,f231]) ).

fof(f231,plain,
    neq(sk4,nil),
    inference(forward_demodulation,[],[f192,f190]) ).

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

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f519,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil) ),
    inference(trivial_inequality_removal,[],[f513]) ).

fof(f513,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(backward_demodulation,[],[f368,f499]) ).

fof(f499,plain,
    nil = sk3,
    inference(resolution,[],[f498,f8]) ).

fof(f498,plain,
    ( ~ ssList(nil)
    | nil = sk3 ),
    inference(resolution,[],[f493,f229]) ).

fof(f229,plain,
    ssList(sk3),
    inference(forward_demodulation,[],[f186,f191]) ).

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

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

fof(f493,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ ssList(nil) ),
    inference(resolution,[],[f100,f230]) ).

fof(f230,plain,
    ~ neq(sk3,nil),
    inference(forward_demodulation,[],[f193,f191]) ).

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

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

fof(f368,plain,
    ( nil != sk3
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f98,f233]) ).

fof(f233,plain,
    sk3 = cons(sk5,nil),
    inference(resolution,[],[f196,f231]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC217-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Apr 30 04:12:11 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (13414)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (13418)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36  % (13417)WARNING: value z3 for option sas not known
% 0.13/0.36  % (13415)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (13416)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36  % (13417)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)
% 0.13/0.36  % (13420)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)
% 0.13/0.36  % (13419)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)
% 0.13/0.36  % (13421)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  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  % (13420)First to succeed.
% 0.13/0.38  % (13420)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38  % (13420)------------------------------
% 0.13/0.38  % (13420)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38  % (13420)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (13420)Memory used [KB]: 1212
% 0.13/0.38  % (13420)Time elapsed: 0.018 s
% 0.13/0.38  % (13420)Instructions burned: 30 (million)
% 0.13/0.38  % (13420)------------------------------
% 0.13/0.38  % (13420)------------------------------
% 0.13/0.38  % (13414)Success in time 0.039 s
%------------------------------------------------------------------------------