TSTP Solution File: SWC292-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC292-1 : 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 : n003.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 16:17:39 EDT 2024

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  12 unt;   0 def)
%            Number of atoms       :   53 (  23 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   48 (  22   ~;  26   |;   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(f587,plain,
    $false,
    inference(resolution,[],[f576,f3]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f576,plain,
    ~ strictorderedP(nil),
    inference(backward_demodulation,[],[f227,f574]) ).

fof(f574,plain,
    nil = sk3,
    inference(trivial_inequality_removal,[],[f564]) ).

fof(f564,plain,
    ( nil != nil
    | nil = sk3 ),
    inference(backward_demodulation,[],[f193,f562]) ).

fof(f562,plain,
    nil = sk4,
    inference(resolution,[],[f561,f8]) ).

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

fof(f561,plain,
    ( ~ ssList(nil)
    | nil = sk4 ),
    inference(resolution,[],[f559,f228]) ).

fof(f228,plain,
    ssList(sk4),
    inference(forward_demodulation,[],[f187,f190]) ).

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

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

fof(f559,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f557]) ).

fof(f557,plain,
    ( nil = sk4
    | nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil) ),
    inference(resolution,[],[f555,f510]) ).

fof(f510,plain,
    ( ssItem(sk5)
    | nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil) ),
    inference(resolution,[],[f100,f194]) ).

fof(f194,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

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

fof(f555,plain,
    ( ~ ssItem(sk5)
    | nil = sk4 ),
    inference(resolution,[],[f546,f227]) ).

fof(f546,plain,
    ( strictorderedP(sk3)
    | ~ ssItem(sk5)
    | nil = sk4 ),
    inference(superposition,[],[f66,f543]) ).

fof(f543,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    inference(resolution,[],[f542,f8]) ).

fof(f542,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | sk3 = cons(sk5,nil) ),
    inference(resolution,[],[f509,f228]) ).

fof(f509,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | ~ ssList(nil)
    | sk3 = cons(sk5,nil) ),
    inference(resolution,[],[f100,f195]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f66,axiom,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f193,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f227,plain,
    ~ strictorderedP(sk3),
    inference(forward_demodulation,[],[f192,f191]) ).

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

fof(f192,axiom,
    ~ strictorderedP(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC292-1 : 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 : n003.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   : Tue Apr 30 04:22:03 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (18856)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (18861)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  % (18859)WARNING: value z3 for option sas not known
% 0.14/0.38  % (18857)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (18858)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  % (18860)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (18859)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  % (18862)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  % (18863)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)
% 0.20/0.39  TRYING [1]
% 0.20/0.39  TRYING [2]
% 0.20/0.40  % (18862)First to succeed.
% 0.20/0.40  % (18862)Refutation found. Thanks to Tanya!
% 0.20/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40  % (18862)------------------------------
% 0.20/0.40  % (18862)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.40  % (18862)Termination reason: Refutation
% 0.20/0.40  
% 0.20/0.40  % (18862)Memory used [KB]: 1336
% 0.20/0.40  % (18862)Time elapsed: 0.022 s
% 0.20/0.40  % (18862)Instructions burned: 36 (million)
% 0.20/0.40  % (18862)------------------------------
% 0.20/0.40  % (18862)------------------------------
% 0.20/0.40  % (18856)Success in time 0.042 s
%------------------------------------------------------------------------------