TSTP Solution File: SET024-4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET024-4 : 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_uns --cores 0 -t %d %s

% Computer : n008.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 18:18:30 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   11 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f193,plain,
    $false,
    inference(resolution,[],[f191,f142]) ).

fof(f142,axiom,
    little_set(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_little_set) ).

fof(f191,plain,
    ~ little_set(a),
    inference(resolution,[],[f175,f148]) ).

fof(f148,plain,
    ~ member(a,non_ordered_pair(a,a)),
    inference(definition_unfolding,[],[f143,f9]) ).

fof(f9,axiom,
    ! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).

fof(f143,axiom,
    ~ member(a,singleton_set(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_membership_of_singleton_set) ).

fof(f175,plain,
    ! [X2,X0] :
      ( member(X2,non_ordered_pair(X0,X2))
      | ~ little_set(X2) ),
    inference(equality_resolution,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( member(X2,non_ordered_pair(X0,X1))
      | ~ little_set(X2)
      | X1 != X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_ordered_pair3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SET024-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 12:59:40 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (6371)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.50  % (6379)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (6379)Instruction limit reached!
% 0.18/0.50  % (6379)------------------------------
% 0.18/0.50  % (6379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (6379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (6379)Termination reason: Unknown
% 0.18/0.50  % (6379)Termination phase: Function definition elimination
% 0.18/0.50  
% 0.18/0.50  % (6379)Memory used [KB]: 1407
% 0.18/0.50  % (6379)Time elapsed: 0.003 s
% 0.18/0.50  % (6379)Instructions burned: 3 (million)
% 0.18/0.50  % (6379)------------------------------
% 0.18/0.50  % (6379)------------------------------
% 0.18/0.50  % (6378)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)
% 0.18/0.50  % (6368)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.50  % (6371)First to succeed.
% 0.18/0.50  % (6371)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (6371)------------------------------
% 0.18/0.50  % (6371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (6371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (6371)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (6371)Memory used [KB]: 6012
% 0.18/0.50  % (6371)Time elapsed: 0.105 s
% 0.18/0.50  % (6371)Instructions burned: 6 (million)
% 0.18/0.50  % (6371)------------------------------
% 0.18/0.50  % (6371)------------------------------
% 0.18/0.50  % (6356)Success in time 0.161 s
%------------------------------------------------------------------------------