TSTP Solution File: SWC254-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC254-1 : 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 : n014.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 16:15:20 EDT 2024

% Result   : Unsatisfiable 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   40 (   7 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   40 (  22   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f720,plain,
    $false,
    inference(resolution,[],[f718,f235]) ).

fof(f235,plain,
    ssList(sk1),
    inference(forward_demodulation,[],[f188,f191]) ).

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

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

fof(f718,plain,
    ~ ssList(sk1),
    inference(resolution,[],[f715,f245]) ).

fof(f245,plain,
    ssItem(sk5),
    inference(resolution,[],[f238,f234]) ).

fof(f234,plain,
    neq(sk2,nil),
    inference(duplicate_literal_removal,[],[f192]) ).

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

fof(f238,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(forward_demodulation,[],[f199,f190]) ).

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

fof(f199,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f715,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk1) ),
    inference(resolution,[],[f712,f234]) ).

fof(f712,plain,
    ( ~ neq(sk2,nil)
    | ~ ssItem(sk5)
    | ~ ssList(sk1) ),
    inference(resolution,[],[f710,f237]) ).

fof(f237,plain,
    ( ~ singletonP(sk1)
    | ~ neq(sk2,nil) ),
    inference(forward_demodulation,[],[f203,f190]) ).

fof(f203,axiom,
    ( ~ singletonP(sk1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f710,plain,
    ( singletonP(sk1)
    | ~ ssList(sk1)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f209,f247]) ).

fof(f247,plain,
    sk1 = cons(sk5,nil),
    inference(resolution,[],[f242,f234]) ).

fof(f242,plain,
    ( ~ neq(sk2,nil)
    | sk1 = cons(sk5,nil) ),
    inference(forward_demodulation,[],[f241,f191]) ).

fof(f241,plain,
    ( ~ neq(sk2,nil)
    | sk3 = cons(sk5,nil) ),
    inference(forward_demodulation,[],[f201,f190]) ).

fof(f201,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f209,plain,
    ! [X0] :
      ( singletonP(cons(X0,nil))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | singletonP(X1)
      | cons(X0,nil) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC254-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 04:07:04 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (22694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (22697)WARNING: value z3 for option sas not known
% 0.21/0.39  % (22696)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39  % (22698)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39  % (22695)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39  % (22700)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)
% 0.21/0.39  % (22697)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)
% 0.21/0.39  % (22699)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)
% 0.21/0.39  % (22701)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)
% 0.21/0.40  TRYING [1]
% 0.21/0.40  TRYING [2]
% 0.21/0.41  TRYING [1]
% 0.21/0.41  % (22700)First to succeed.
% 0.21/0.41  TRYING [3]
% 0.21/0.41  TRYING [2]
% 0.21/0.41  % (22700)Refutation found. Thanks to Tanya!
% 0.21/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41  % (22700)------------------------------
% 0.21/0.41  % (22700)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41  % (22700)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (22700)Memory used [KB]: 1405
% 0.21/0.41  % (22700)Time elapsed: 0.027 s
% 0.21/0.41  % (22700)Instructions burned: 47 (million)
% 0.21/0.41  % (22700)------------------------------
% 0.21/0.41  % (22700)------------------------------
% 0.21/0.41  % (22694)Success in time 0.048 s
%------------------------------------------------------------------------------