TSTP Solution File: SET027-4 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET027-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 : Tue Apr 30 15:05:06 EDT 2024

% Result   : Unsatisfiable 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  11   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f294,plain,
    $false,
    inference(resolution,[],[f292,f144]) ).

fof(f144,axiom,
    ~ subset(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_subset_c) ).

fof(f292,plain,
    subset(a,c),
    inference(resolution,[],[f291,f68]) ).

fof(f68,axiom,
    ! [X0,X1] :
      ( member(f17(X0,X1),X0)
      | subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset2) ).

fof(f291,plain,
    ~ member(f17(a,c),a),
    inference(resolution,[],[f273,f142]) ).

fof(f142,axiom,
    subset(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_b) ).

fof(f273,plain,
    ! [X0] :
      ( ~ subset(X0,b)
      | ~ member(f17(a,c),X0) ),
    inference(resolution,[],[f272,f67]) ).

fof(f67,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset1) ).

fof(f272,plain,
    ~ member(f17(a,c),b),
    inference(resolution,[],[f261,f143]) ).

fof(f143,axiom,
    subset(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_c) ).

fof(f261,plain,
    ! [X0] :
      ( ~ subset(X0,c)
      | ~ member(f17(a,c),X0) ),
    inference(resolution,[],[f67,f176]) ).

fof(f176,plain,
    ~ member(f17(a,c),c),
    inference(resolution,[],[f69,f144]) ).

fof(f69,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(f17(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SET027-4 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n016.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % 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   : Tue Apr 30 02:19:25 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (5740)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (5743)WARNING: value z3 for option sas not known
% 0.11/0.34  % (5742)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34  % (5741)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34  % (5747)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 theBenchmark for (497ds/0Mi)
% 0.11/0.34  % (5745)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 theBenchmark for (531ds/0Mi)
% 0.11/0.34  % (5744)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34  % (5746)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 theBenchmark for (522ds/0Mi)
% 0.11/0.34  % (5743)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 theBenchmark for (569ds/0Mi)
% 0.11/0.35  % (5746)First to succeed.
% 0.11/0.35  % (5746)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35  % (5746)------------------------------
% 0.11/0.35  % (5746)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35  % (5746)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (5746)Memory used [KB]: 1074
% 0.11/0.35  % (5746)Time elapsed: 0.010 s
% 0.11/0.35  % (5746)Instructions burned: 17 (million)
% 0.11/0.35  % (5746)------------------------------
% 0.11/0.35  % (5746)------------------------------
% 0.11/0.35  % (5740)Success in time 0.028 s
%------------------------------------------------------------------------------