TSTP Solution File: COM002-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COM002-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n011.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 15:53:31 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (  20 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   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   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,plain,
    $false,
    inference(subsumption_resolution,[],[f78,f36]) ).

fof(f36,plain,
    ~ succeeds(p3,p3),
    inference(literal_reordering,[],[f19]) ).

fof(f19,axiom,
    ~ succeeds(p3,p3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_loop_through_p3) ).

fof(f78,plain,
    succeeds(p3,p3),
    inference(resolution,[],[f65,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ succeeds(X0,p6)
      | succeeds(X0,p3) ),
    inference(resolution,[],[f42,f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ succeeds(X2,X1)
      | ~ succeeds(X0,X2)
      | succeeds(X0,X1) ),
    inference(literal_reordering,[],[f2]) ).

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

fof(f42,plain,
    succeeds(p6,p3),
    inference(resolution,[],[f29,f30]) ).

fof(f30,plain,
    follows(p6,p3),
    inference(literal_reordering,[],[f13]) ).

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

fof(f29,plain,
    ! [X0,X1] :
      ( ~ follows(X0,X1)
      | succeeds(X0,X1) ),
    inference(literal_reordering,[],[f1]) ).

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

fof(f65,plain,
    succeeds(p3,p6),
    inference(resolution,[],[f60,f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ succeeds(X0,p7)
      | succeeds(X0,p6) ),
    inference(resolution,[],[f43,f32]) ).

fof(f43,plain,
    succeeds(p7,p6),
    inference(resolution,[],[f29,f26]) ).

fof(f26,plain,
    follows(p7,p6),
    inference(literal_reordering,[],[f15]) ).

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

fof(f60,plain,
    succeeds(p3,p7),
    inference(resolution,[],[f52,f54]) ).

fof(f54,plain,
    succeeds(p3,p8),
    inference(resolution,[],[f46,f35]) ).

fof(f35,plain,
    has(p8,goto(loop)),
    inference(literal_reordering,[],[f18]) ).

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

fof(f46,plain,
    ! [X0] :
      ( ~ has(X0,goto(loop))
      | succeeds(p3,X0) ),
    inference(resolution,[],[f38,f33]) ).

fof(f33,plain,
    labels(loop,p3),
    inference(literal_reordering,[],[f8]) ).

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

fof(f38,plain,
    ! [X3,X0,X1] :
      ( ~ labels(X3,X0)
      | succeeds(X0,X1)
      | ~ has(X1,goto(X3)) ),
    inference(literal_reordering,[],[f3]) ).

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

fof(f52,plain,
    ! [X0] :
      ( ~ succeeds(X0,p8)
      | succeeds(X0,p7) ),
    inference(resolution,[],[f44,f32]) ).

fof(f44,plain,
    succeeds(p8,p7),
    inference(resolution,[],[f29,f27]) ).

fof(f27,plain,
    follows(p8,p7),
    inference(literal_reordering,[],[f17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : COM002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 16:57:39 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.51  % (11484)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (11502)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.51  % (11494)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52  % (11486)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  TRYING [1]
% 0.21/0.52  % (11494)First to succeed.
% 0.21/0.52  TRYING [2]
% 0.21/0.52  % (11480)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.52  TRYING [3]
% 0.21/0.52  % (11494)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  % (11494)------------------------------
% 0.21/0.52  % (11494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (11494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (11494)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (11494)Memory used [KB]: 5756
% 0.21/0.52  % (11494)Time elapsed: 0.010 s
% 0.21/0.52  % (11494)Instructions burned: 5 (million)
% 0.21/0.52  % (11494)------------------------------
% 0.21/0.52  % (11494)------------------------------
% 0.21/0.52  % (11479)Success in time 0.173 s
%------------------------------------------------------------------------------