%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET094-6 : 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 : n003.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 18:23:39 EDT 2022

% Result   : Unsatisfiable 1.79s 0.60s
% Output   : Refutation 1.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   21 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   6   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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;   4 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f420,plain,
    $false,
    inference(subsumption_resolution,[],[f393,f148]) ).

fof(f148,plain,
    y != sF0,
    inference(definition_folding,[],[f94,f147]) ).

fof(f147,plain,
    member_of(x) = sF0,
    introduced(function_definition,[]) ).

fof(f94,axiom,
    member_of(x) != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).

fof(f393,plain,
    y = sF0,
    inference(resolution,[],[f383,f93]) ).

fof(f93,axiom,
    member(y,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).

fof(f383,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | sF0 = X0 ),
    inference(forward_demodulation,[],[f382,f150]) ).

fof(f150,plain,
    x = sF1,
    inference(definition_folding,[],[f121,f149,f147,f147]) ).

fof(f149,plain,
    unordered_pair(sF0,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f121,plain,
    x = unordered_pair(member_of(x),member_of(x)),
    inference(definition_unfolding,[],[f92,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).

fof(f92,axiom,
    x = singleton(member_of(x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).

fof(f382,plain,
    ! [X0] :
      ( ~ member(X0,sF1)
      | sF0 = X0 ),
    inference(duplicate_literal_removal,[],[f381]) ).

fof(f381,plain,
    ! [X0] :
      ( sF0 = X0
      | sF0 = X0
      | ~ member(X0,sF1) ),
    inference(superposition,[],[f8,f149]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X1 = X2
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SET094-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13  % 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 : n003.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 13:15:52 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (18943)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (18946)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56  % (18935)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)
% 1.50/0.58  % (18950)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.50/0.58  % (18938)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.50/0.58  % (18933)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.50/0.58  % (18944)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.58  % (18946)First to succeed.
% 1.79/0.60  % (18946)Refutation found. Thanks to Tanya!
% 1.79/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.79/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.60  % (18946)------------------------------
% 1.79/0.60  % (18946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60  % (18946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60  % (18946)Termination reason: Refutation
% 1.79/0.60  
% 1.79/0.60  % (18946)Memory used [KB]: 5884
% 1.79/0.60  % (18946)Time elapsed: 0.140 s
% 1.79/0.60  % (18946)Instructions burned: 14 (million)
% 1.79/0.60  % (18946)------------------------------
% 1.79/0.60  % (18946)------------------------------
% 1.79/0.60  % (18932)Success in time 0.24 s
%------------------------------------------------------------------------------