TSTP Solution File: COM002-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COM002-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.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 04:47:09 EDT 2024

% Result   : Unsatisfiable 0.16s 0.33s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (  14 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  18   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f116,plain,
    $false,
    inference(resolution,[],[f101,f19]) ).

fof(f19,axiom,
    fails(p3,p3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_loop_through_p3) ).

fof(f101,plain,
    ~ fails(p3,p3),
    inference(resolution,[],[f77,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( fails(X0,p6)
      | ~ fails(X0,p3) ),
    inference(resolution,[],[f23,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( fails(X2,X1)
      | ~ fails(X0,X1)
      | fails(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_success) ).

fof(f23,plain,
    ~ fails(p6,p3),
    inference(resolution,[],[f1,f13]) ).

fof(f13,axiom,
    follows(p6,p3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_3_to_6) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ follows(X0,X1)
      | ~ fails(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',direct_success) ).

fof(f77,plain,
    ~ fails(p3,p6),
    inference(resolution,[],[f76,f36]) ).

fof(f36,plain,
    ! [X0] :
      ( fails(X0,p7)
      | ~ fails(X0,p6) ),
    inference(resolution,[],[f24,f2]) ).

fof(f24,plain,
    ~ fails(p7,p6),
    inference(resolution,[],[f1,f15]) ).

fof(f15,axiom,
    follows(p7,p6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_6_to_7) ).

fof(f76,plain,
    ~ fails(p3,p7),
    inference(resolution,[],[f37,f39]) ).

fof(f39,plain,
    ~ fails(p3,p8),
    inference(resolution,[],[f35,f8]) ).

fof(f8,axiom,
    labels(loop,p3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_state_3) ).

fof(f35,plain,
    ! [X0] :
      ( ~ labels(loop,X0)
      | ~ fails(X0,p8) ),
    inference(resolution,[],[f3,f18]) ).

fof(f18,axiom,
    has(p8,goto(loop)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_8) ).

fof(f3,axiom,
    ! [X3,X0,X1] :
      ( ~ labels(X3,X0)
      | ~ fails(X0,X1)
      | ~ has(X1,goto(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goto_success) ).

fof(f37,plain,
    ! [X0] :
      ( fails(X0,p8)
      | ~ fails(X0,p7) ),
    inference(resolution,[],[f25,f2]) ).

fof(f25,plain,
    ~ fails(p8,p7),
    inference(resolution,[],[f1,f17]) ).

fof(f17,axiom,
    follows(p8,p7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_7_to_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem    : COM002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n018.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 21:27:37 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (27095)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33  % (27099)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33  % (27100)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33  % (27102)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33  % (27101)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33  % (27098)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.33  % (27096)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33  % (27097)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33  Detected minimum model sizes of [1,1,1,1,1]
% 0.16/0.33  Detected maximum model sizes of [max,2,8,1,1]
% 0.16/0.33  TRYING [1,1,1,1,1]
% 0.16/0.33  Detected minimum model sizes of [1,1,1,1,1]
% 0.16/0.33  Detected maximum model sizes of [max,2,8,1,1]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [2,1,2,1,1]
% 0.16/0.33  TRYING [1,1,1,1,1]
% 0.16/0.33  TRYING [2,1,2,1,1]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [3,1,3,1,1]
% 0.16/0.33  TRYING [3,1,3,1,1]
% 0.16/0.33  % (27098)First to succeed.
% 0.16/0.33  TRYING [3]
% 0.16/0.33  % (27098)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27095"
% 0.16/0.33  TRYING [3]
% 0.16/0.33  % (27100)Also succeeded, but the first one will report.
% 0.16/0.33  TRYING [4,1,3,1,1]
% 0.16/0.33  % (27098)Refutation found. Thanks to Tanya!
% 0.16/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33  % (27098)------------------------------
% 0.16/0.33  % (27098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33  % (27098)Termination reason: Refutation
% 0.16/0.33  
% 0.16/0.33  % (27098)Memory used [KB]: 767
% 0.16/0.33  % (27098)Time elapsed: 0.004 s
% 0.16/0.33  % (27098)Instructions burned: 5 (million)
% 0.16/0.33  % (27095)Success in time 0.019 s
%------------------------------------------------------------------------------