TSTP Solution File: CAT007-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT007-1 : 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 : n004.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 15:51:15 EDT 2022

% Result   : Unsatisfiable 0.17s 0.50s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (  13 unt;   3 typ;   0 def)
%            Number of atoms       :   26 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   16 (  16   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_5,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_6,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_7,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f209,plain,
    $false,
    inference(subsumption_resolution,[],[f208,f37]) ).

fof(f37,plain,
    ! [X0] : defined(X0,domain(X0)),
    inference(literal_reordering,[],[f12]) ).

fof(f12,axiom,
    ! [X0] : defined(X0,domain(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mapping_from_x_to_its_domain) ).

fof(f208,plain,
    ~ defined(a,domain(a)),
    inference(resolution,[],[f171,f34]) ).

fof(f34,plain,
    ~ defined(a,b),
    inference(literal_reordering,[],[f20]) ).

fof(f20,axiom,
    ~ defined(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ab_is_defined) ).

fof(f171,plain,
    ! [X0] :
      ( defined(X0,b)
      | ~ defined(X0,domain(a)) ),
    inference(resolution,[],[f84,f69]) ).

fof(f69,plain,
    defined(domain(a),b),
    inference(superposition,[],[f22,f38]) ).

fof(f38,plain,
    domain(a) = codomain(b),
    inference(literal_reordering,[],[f19]) ).

fof(f19,axiom,
    domain(a) = codomain(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_of_a_equals_codomain_of_b) ).

fof(f22,plain,
    ! [X0] : defined(codomain(X0),X0),
    inference(literal_reordering,[],[f13]) ).

fof(f13,axiom,
    ! [X0] : defined(codomain(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mapping_from_codomain_of_x_to_x) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( ~ defined(domain(X1),X2)
      | defined(X0,X2)
      | ~ defined(X0,domain(X1)) ),
    inference(resolution,[],[f24,f23]) ).

fof(f23,plain,
    ! [X0] : identity_map(domain(X0)),
    inference(literal_reordering,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : identity_map(domain(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_is_an_identity_map) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( ~ identity_map(X1)
      | ~ defined(X0,X1)
      | ~ defined(X1,X2)
      | defined(X0,X2) ),
    inference(literal_reordering,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( ~ defined(X0,X1)
      | ~ identity_map(X1)
      | ~ defined(X1,X2)
      | defined(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : CAT007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 16:13:34 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.46  % (24032)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)
% 0.17/0.48  % (24024)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)
% 0.17/0.48  % (24041)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)
% 0.17/0.48  % (24033)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)
% 0.17/0.49  % (24020)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.49  % (24040)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)
% 0.17/0.49  TRYING [1]
% 0.17/0.49  TRYING [2]
% 0.17/0.50  % (24025)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50  TRYING [3]
% 0.17/0.50  TRYING [4]
% 0.17/0.50  % (24032)First to succeed.
% 0.17/0.50  % (24032)Refutation found. Thanks to Tanya!
% 0.17/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50  % (24032)------------------------------
% 0.17/0.50  % (24032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (24032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (24032)Termination reason: Refutation
% 0.17/0.50  
% 0.17/0.50  % (24032)Memory used [KB]: 5884
% 0.17/0.50  % (24032)Time elapsed: 0.014 s
% 0.17/0.50  % (24032)Instructions burned: 12 (million)
% 0.17/0.50  % (24032)------------------------------
% 0.17/0.50  % (24032)------------------------------
% 0.17/0.50  % (24017)Success in time 0.173 s
%------------------------------------------------------------------------------