TSTP Solution File: SWC116-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC116-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n029.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 : Wed Aug 31 18:41:50 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   40 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  18   ~;  18   |;   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   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f644,plain,
    $false,
    inference(subsumption_resolution,[],[f643,f640]) ).

fof(f640,plain,
    segmentP(sk4,sk3),
    inference(subsumption_resolution,[],[f639,f353]) ).

fof(f353,plain,
    nil != sk4,
    inference(subsumption_resolution,[],[f192,f198]) ).

fof(f198,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

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

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

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

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

fof(f639,plain,
    ( nil = sk4
    | segmentP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f636,f8]) ).

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

fof(f636,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(resolution,[],[f411,f196]) ).

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

fof(f411,plain,
    ! [X14] :
      ( neq(sk4,X14)
      | ~ ssList(X14)
      | sk4 = X14 ),
    inference(resolution,[],[f100,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

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

fof(f643,plain,
    ~ segmentP(sk4,sk3),
    inference(resolution,[],[f642,f199]) ).

fof(f199,plain,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f194,f191,f190,f191]) ).

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

fof(f642,plain,
    neq(sk3,nil),
    inference(subsumption_resolution,[],[f641,f353]) ).

fof(f641,plain,
    ( neq(sk3,nil)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f637,f8]) ).

fof(f637,plain,
    ( neq(sk3,nil)
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(resolution,[],[f411,f195]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC116-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 18:26:57 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.48  % (16880)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.49  % (16886)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.50  % (16865)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50  % (16888)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.51  % (16878)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.51  % (16880)First to succeed.
% 0.21/0.52  % (16880)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (16880)------------------------------
% 0.21/0.52  % (16880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (16880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (16880)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (16880)Memory used [KB]: 1535
% 0.21/0.52  % (16880)Time elapsed: 0.079 s
% 0.21/0.52  % (16880)Instructions burned: 22 (million)
% 0.21/0.52  % (16880)------------------------------
% 0.21/0.52  % (16880)------------------------------
% 0.21/0.52  % (16860)Success in time 0.147 s
%------------------------------------------------------------------------------