TSTP Solution File: SET025-9 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET025-9 : 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 : n015.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 18:18:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   13 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f214,plain,
    $false,
    inference(global_subsumption,[],[f143,f209]) ).

fof(f209,plain,
    little_set(a),
    inference(superposition,[],[f8,f189]) ).

fof(f189,plain,
    a = non_ordered_pair(non_ordered_pair(f2(a),f2(a)),non_ordered_pair(f2(a),f3(a))),
    inference(resolution,[],[f142,f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ ordered_pair_predicate(X0)
      | non_ordered_pair(non_ordered_pair(f2(X0),f2(X0)),non_ordered_pair(f2(X0),f3(X0))) = X0 ),
    inference(definition_unfolding,[],[f13,f144]) ).

fof(f144,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
    inference(definition_unfolding,[],[f10,f9]) ).

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

fof(f10,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).

fof(f13,axiom,
    ! [X0] :
      ( ordered_pair(f2(X0),f3(X0)) = X0
      | ~ ordered_pair_predicate(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_predicate3) ).

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

fof(f8,axiom,
    ! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_ordered_pair4) ).

fof(f143,axiom,
    ~ little_set(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_predicate_is_small) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET025-9 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 13:08:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.47  % (11749)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.48  % (11741)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.49  % (11733)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49  % (11741)First to succeed.
% 0.20/0.49  % (11749)Refutation not found, incomplete strategy% (11749)------------------------------
% 0.20/0.49  % (11749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (11749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (11749)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (11749)Memory used [KB]: 5884
% 0.20/0.49  % (11749)Time elapsed: 0.003 s
% 0.20/0.49  % (11749)Instructions burned: 2 (million)
% 0.20/0.49  % (11749)------------------------------
% 0.20/0.49  % (11749)------------------------------
% 0.20/0.49  % (11733)Instruction limit reached!
% 0.20/0.49  % (11733)------------------------------
% 0.20/0.49  % (11733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (11733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (11733)Termination reason: Unknown
% 0.20/0.49  % (11733)Termination phase: Property scanning
% 0.20/0.49  
% 0.20/0.49  % (11733)Memory used [KB]: 1407
% 0.20/0.49  % (11733)Time elapsed: 0.004 s
% 0.20/0.49  % (11733)Instructions burned: 6 (million)
% 0.20/0.49  % (11733)------------------------------
% 0.20/0.49  % (11733)------------------------------
% 0.20/0.50  % (11741)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (11741)------------------------------
% 0.20/0.50  % (11741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (11741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (11741)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (11741)Memory used [KB]: 10618
% 0.20/0.50  % (11741)Time elapsed: 0.114 s
% 0.20/0.50  % (11741)Instructions burned: 7 (million)
% 0.20/0.50  % (11741)------------------------------
% 0.20/0.50  % (11741)------------------------------
% 0.20/0.50  % (11717)Success in time 0.145 s
%------------------------------------------------------------------------------