TSTP Solution File: SET025-9 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET025-9 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n020.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 : Fri Sep  1 22:10:53 EDT 2023

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   8 unt;   0 def)
%            Number of atoms       :   10 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 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   :    7 (;   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f745,plain,
    $false,
    inference(resolution,[],[f744,f143]) ).

fof(f143,axiom,
    ~ little_set(a),
    file('/export/starexec/sandbox/tmp/tmp.PNCiSw1FPc/Vampire---4.8_5780',prove_predicate_is_small) ).

fof(f744,plain,
    little_set(a),
    inference(superposition,[],[f740,f180]) ).

fof(f180,plain,
    a = ordered_pair(f2(a),f3(a)),
    inference(resolution,[],[f13,f142]) ).

fof(f142,axiom,
    ordered_pair_predicate(a),
    file('/export/starexec/sandbox/tmp/tmp.PNCiSw1FPc/Vampire---4.8_5780',an_ordered_pair_predicate) ).

fof(f13,axiom,
    ! [X0] :
      ( ~ ordered_pair_predicate(X0)
      | ordered_pair(f2(X0),f3(X0)) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.PNCiSw1FPc/Vampire---4.8_5780',ordered_pair_predicate3) ).

fof(f740,plain,
    ! [X8,X9] : little_set(ordered_pair(X8,X9)),
    inference(superposition,[],[f8,f10]) ).

fof(f10,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.PNCiSw1FPc/Vampire---4.8_5780',ordered_pair) ).

fof(f8,axiom,
    ! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.PNCiSw1FPc/Vampire---4.8_5780',non_ordered_pair4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SET025-9 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.10/0.29  % Computer : n020.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Wed Aug 30 15:44:43 EDT 2023
% 0.10/0.29  % CPUTime    : 
% 0.14/0.33  % (6861)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.33  % (7021)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.14/0.33  % (7023)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.14/0.33  % (7031)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.14/0.33  % (7032)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.14/0.33  % (7027)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.14/0.33  % (7033)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.14/0.34  % (7034)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.14/0.34  TRYING [1]
% 0.14/0.34  TRYING [2]
% 0.14/0.36  TRYING [1]
% 0.14/0.36  TRYING [2]
% 0.14/0.36  TRYING [1]
% 0.14/0.36  % (7033)First to succeed.
% 0.14/0.36  % (7033)Refutation found. Thanks to Tanya!
% 0.14/0.36  % SZS status Unsatisfiable for Vampire---4
% 0.14/0.36  % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.36  % (7033)------------------------------
% 0.14/0.36  % (7033)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.36  % (7033)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.36  % (7033)Termination reason: Refutation
% 0.14/0.36  
% 0.14/0.36  % (7033)Memory used [KB]: 1918
% 0.14/0.36  % (7033)Time elapsed: 0.026 s
% 0.14/0.36  % (7033)------------------------------
% 0.14/0.36  % (7033)------------------------------
% 0.14/0.36  % (6861)Success in time 0.063 s
% 0.14/0.36  7027 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.PNCiSw1FPc/Vampire---4.8_5780
% 0.14/0.36  % (7027)------------------------------
% 0.14/0.36  % (7027)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.36  % (7027)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.36  % (7027)Termination reason: Unknown
% 0.14/0.36  % (7027)Termination phase: Saturation
% 0.14/0.36  
% 0.14/0.36  % (7027)Memory used [KB]: 5500
% 0.14/0.36  % (7027)Time elapsed: 0.028 s
% 0.14/0.36  % (7027)------------------------------
% 0.14/0.36  % (7027)------------------------------
% 0.14/0.36  % Vampire---4.8 exiting
%------------------------------------------------------------------------------