TSTP Solution File: SET027-4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET027-4 : 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 : n016.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 18:23:15 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   8   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f466,plain,
    $false,
    inference(subsumption_resolution,[],[f465,f144]) ).

fof(f144,axiom,
    ~ subset(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_subset_c) ).

fof(f465,plain,
    subset(a,c),
    inference(duplicate_literal_removal,[],[f464]) ).

fof(f464,plain,
    ( subset(a,c)
    | subset(a,c) ),
    inference(resolution,[],[f461,f68]) ).

fof(f68,axiom,
    ! [X0,X1] :
      ( member(f17(X0,X1),X0)
      | subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset2) ).

fof(f461,plain,
    ! [X0] :
      ( ~ member(f17(X0,c),a)
      | subset(X0,c) ),
    inference(resolution,[],[f377,f369]) ).

fof(f369,plain,
    ! [X8] :
      ( member(X8,b)
      | ~ member(X8,a) ),
    inference(resolution,[],[f67,f142]) ).

fof(f142,axiom,
    subset(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_b) ).

fof(f67,axiom,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset1) ).

fof(f377,plain,
    ! [X2] :
      ( ~ member(f17(X2,c),b)
      | subset(X2,c) ),
    inference(resolution,[],[f370,f69]) ).

fof(f69,axiom,
    ! [X0,X1] :
      ( ~ member(f17(X0,X1),X1)
      | subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset3) ).

fof(f370,plain,
    ! [X9] :
      ( member(X9,c)
      | ~ member(X9,b) ),
    inference(resolution,[],[f67,f143]) ).

fof(f143,axiom,
    subset(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET027-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 13:20:16 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (4248)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.49  % (4256)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50  % (4248)First to succeed.
% 0.19/0.51  % (4248)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (4248)------------------------------
% 0.19/0.51  % (4248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (4248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (4248)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (4248)Memory used [KB]: 1535
% 0.19/0.51  % (4248)Time elapsed: 0.079 s
% 0.19/0.51  % (4248)Instructions burned: 20 (million)
% 0.19/0.51  % (4248)------------------------------
% 0.19/0.51  % (4248)------------------------------
% 0.19/0.51  % (4232)Success in time 0.155 s
%------------------------------------------------------------------------------