TSTP Solution File: SET078-7 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET078-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n005.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 18:23:34 EDT 2022

% Result   : Unsatisfiable 1.33s 0.53s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   12 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f177,plain,
    $false,
    inference(subsumption_resolution,[],[f176,f129]) ).

fof(f129,plain,
    member(sF0,universal_class),
    inference(superposition,[],[f120,f125]) ).

fof(f125,plain,
    singleton(y) = sF0,
    introduced(function_definition,[]) ).

fof(f120,axiom,
    ! [X0] : member(singleton(X0),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singletons_are_sets) ).

fof(f176,plain,
    ~ member(sF0,universal_class),
    inference(subsumption_resolution,[],[f172,f127]) ).

fof(f127,plain,
    ~ member(sF0,sF1),
    inference(definition_folding,[],[f121,f126,f125,f125]) ).

fof(f126,plain,
    sF1 = unordered_pair(x,sF0),
    introduced(function_definition,[]) ).

fof(f121,axiom,
    ~ member(singleton(y),unordered_pair(x,singleton(y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_singletons_are_sets_1) ).

fof(f172,plain,
    ( member(sF0,sF1)
    | ~ member(sF0,universal_class) ),
    inference(superposition,[],[f10,f126]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X1,unordered_pair(X0,X1))
      | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET078-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 13:09:48 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.16/0.52  % (27519)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)
% 1.16/0.52  % (27511)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)
% 1.16/0.52  % (27524)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.16/0.52  % (27503)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.16/0.53  % (27514)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.16/0.53  % (27508)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.16/0.53  % (27498)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)
% 1.33/0.53  % (27511)First to succeed.
% 1.33/0.53  % (27510)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)
% 1.33/0.53  % (27503)Instruction limit reached!
% 1.33/0.53  % (27503)------------------------------
% 1.33/0.53  % (27503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (27499)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.53  % (27503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (27503)Termination reason: Unknown
% 1.33/0.53  % (27503)Termination phase: Saturation
% 1.33/0.53  
% 1.33/0.53  % (27503)Memory used [KB]: 5500
% 1.33/0.53  % (27503)Time elapsed: 0.078 s
% 1.33/0.53  % (27503)Instructions burned: 7 (million)
% 1.33/0.53  % (27503)------------------------------
% 1.33/0.53  % (27503)------------------------------
% 1.33/0.53  % (27511)Refutation found. Thanks to Tanya!
% 1.33/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.33/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.53  % (27511)------------------------------
% 1.33/0.53  % (27511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (27511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (27511)Termination reason: Refutation
% 1.33/0.53  
% 1.33/0.53  % (27511)Memory used [KB]: 1151
% 1.33/0.53  % (27511)Time elapsed: 0.065 s
% 1.33/0.53  % (27511)Instructions burned: 8 (million)
% 1.33/0.53  % (27511)------------------------------
% 1.33/0.53  % (27511)------------------------------
% 1.33/0.53  % (27490)Success in time 0.178 s
%------------------------------------------------------------------------------