TSTP Solution File: SET081-7 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET081-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n014.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 18:19:00 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   11 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    5 (   2   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f158,plain,
    $false,
    inference(subsumption_resolution,[],[f155,f126]) ).

fof(f126,axiom,
    y != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_only_member_in_singleton_2) ).

fof(f155,plain,
    y = x,
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ( y = x
    | y = x ),
    inference(resolution,[],[f130,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).

fof(f130,plain,
    member(y,unordered_pair(x,x)),
    inference(definition_unfolding,[],[f125,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f125,axiom,
    member(y,singleton(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_only_member_in_singleton_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET081-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 13:11:18 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.51  % (16591)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.51  % (16599)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.51  % (16591)Instruction limit reached!
% 0.21/0.51  % (16591)------------------------------
% 0.21/0.51  % (16591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (16599)Instruction limit reached!
% 0.21/0.52  % (16599)------------------------------
% 0.21/0.52  % (16599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (16591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (16591)Termination reason: Unknown
% 0.21/0.52  % (16591)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (16591)Memory used [KB]: 5884
% 0.21/0.52  % (16591)Time elapsed: 0.006 s
% 0.21/0.52  % (16591)Instructions burned: 5 (million)
% 0.21/0.52  % (16591)------------------------------
% 0.21/0.52  % (16591)------------------------------
% 0.21/0.52  % (16599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (16599)Termination reason: Unknown
% 0.21/0.52  % (16599)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (16599)Memory used [KB]: 1407
% 0.21/0.52  % (16599)Time elapsed: 0.006 s
% 0.21/0.52  % (16599)Instructions burned: 6 (million)
% 0.21/0.52  % (16599)------------------------------
% 0.21/0.52  % (16599)------------------------------
% 0.21/0.54  % (16586)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (16586)First to succeed.
% 0.21/0.55  % (16586)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (16586)------------------------------
% 0.21/0.55  % (16586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (16586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (16586)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (16586)Memory used [KB]: 6012
% 0.21/0.55  % (16586)Time elapsed: 0.101 s
% 0.21/0.55  % (16586)Instructions burned: 4 (million)
% 0.21/0.55  % (16586)------------------------------
% 0.21/0.55  % (16586)------------------------------
% 0.21/0.55  % (16576)Success in time 0.184 s
%------------------------------------------------------------------------------