TSTP Solution File: SET103-6 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET103-6 : 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 18:23:44 EDT 2022

% Result   : Unsatisfiable 0.17s 0.51s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   41 (  17 unt;   0 def)
%            Number of atoms       :   74 (  31 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   62 (  29   ~;  30   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f815,plain,
    $false,
    inference(avatar_sat_refutation,[],[f705,f736,f770,f814]) ).

fof(f814,plain,
    ~ spl6_67,
    inference(avatar_contradiction_clause,[],[f812]) ).

fof(f812,plain,
    ( $false
    | ~ spl6_67 ),
    inference(resolution,[],[f800,f93]) ).

fof(f93,axiom,
    ~ member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_2) ).

fof(f800,plain,
    ( member(y,universal_class)
    | ~ spl6_67 ),
    inference(resolution,[],[f735,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f735,plain,
    ( ! [X1] :
        ( ~ subclass(sF3,X1)
        | member(y,X1) )
    | ~ spl6_67 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f734,plain,
    ( spl6_67
  <=> ! [X1] :
        ( ~ subclass(sF3,X1)
        | member(y,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).

fof(f770,plain,
    ~ spl6_61,
    inference(avatar_contradiction_clause,[],[f769]) ).

fof(f769,plain,
    ( $false
    | ~ spl6_61 ),
    inference(trivial_inequality_removal,[],[f760]) ).

fof(f760,plain,
    ( sF2 != sF2
    | ~ spl6_61 ),
    inference(superposition,[],[f152,f755]) ).

fof(f755,plain,
    ( sF2 = sF5
    | ~ spl6_61 ),
    inference(forward_demodulation,[],[f747,f148]) ).

fof(f148,plain,
    sF2 = unordered_pair(sF0,sF1),
    introduced(function_definition,[]) ).

fof(f747,plain,
    ( unordered_pair(sF0,sF1) = sF5
    | ~ spl6_61 ),
    inference(superposition,[],[f151,f745]) ).

fof(f745,plain,
    ( sF1 = sF4
    | ~ spl6_61 ),
    inference(forward_demodulation,[],[f737,f147]) ).

fof(f147,plain,
    unordered_pair(x,null_class) = sF1,
    introduced(function_definition,[]) ).

fof(f737,plain,
    ( unordered_pair(x,null_class) = sF4
    | ~ spl6_61 ),
    inference(superposition,[],[f150,f704]) ).

fof(f704,plain,
    ( null_class = sF3
    | ~ spl6_61 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f702,plain,
    ( spl6_61
  <=> null_class = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).

fof(f150,plain,
    unordered_pair(x,sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f151,plain,
    unordered_pair(sF0,sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f152,plain,
    sF2 != sF5,
    inference(definition_folding,[],[f139,f151,f150,f149,f146,f148,f147,f146]) ).

fof(f146,plain,
    sF0 = unordered_pair(x,x),
    introduced(function_definition,[]) ).

fof(f149,plain,
    sF3 = unordered_pair(y,y),
    introduced(function_definition,[]) ).

fof(f139,plain,
    unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),
    inference(definition_unfolding,[],[f92,f12,f98]) ).

fof(f98,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f13,f12,f12]) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f92,axiom,
    unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_1) ).

fof(f736,plain,
    ( spl6_61
    | spl6_67
    | ~ spl6_60 ),
    inference(avatar_split_clause,[],[f716,f698,f734,f702]) ).

fof(f698,plain,
    ( spl6_60
  <=> y = regular(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).

fof(f716,plain,
    ( ! [X1] :
        ( ~ subclass(sF3,X1)
        | member(y,X1)
        | null_class = sF3 )
    | ~ spl6_60 ),
    inference(superposition,[],[f261,f700]) ).

fof(f700,plain,
    ( y = regular(sF3)
    | ~ spl6_60 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f261,plain,
    ! [X2,X3] :
      ( member(regular(X2),X3)
      | null_class = X2
      | ~ subclass(X2,X3) ),
    inference(resolution,[],[f1,f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f705,plain,
    ( spl6_60
    | spl6_61 ),
    inference(avatar_split_clause,[],[f685,f702,f698]) ).

fof(f685,plain,
    ( null_class = sF3
    | y = regular(sF3) ),
    inference(resolution,[],[f626,f66]) ).

fof(f626,plain,
    ! [X5] :
      ( ~ member(X5,sF3)
      | y = X5 ),
    inference(duplicate_literal_removal,[],[f624]) ).

fof(f624,plain,
    ! [X5] :
      ( y = X5
      | ~ member(X5,sF3)
      | y = X5 ),
    inference(superposition,[],[f8,f149]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SET103-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.31  % Computer : n003.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
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 30 13:17:37 EDT 2022
% 0.11/0.31  % CPUTime    : 
% 0.17/0.47  % (23895)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48  % (23902)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)
% 0.17/0.48  % (23891)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)
% 0.17/0.48  % (23901)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.49  % (23918)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.49  % (23897)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)
% 0.17/0.49  % (23905)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)
% 0.17/0.49  % (23906)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  % (23903)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.49  % (23912)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.49  % (23904)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.49  % (23910)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.50  % (23900)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50  % (23892)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.50  % (23893)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)
% 0.17/0.50  % (23894)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)
% 0.17/0.50  % (23914)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)
% 0.17/0.50  % (23896)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)
% 0.17/0.50  % (23915)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.50  % (23898)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.51  % (23920)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.51  % (23911)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.51  % (23913)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)
% 0.17/0.51  % (23898)Instruction limit reached!
% 0.17/0.51  % (23898)------------------------------
% 0.17/0.51  % (23898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (23898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (23898)Termination reason: Unknown
% 0.17/0.51  % (23898)Termination phase: Saturation
% 0.17/0.51  
% 0.17/0.51  % (23898)Memory used [KB]: 5628
% 0.17/0.51  % (23898)Time elapsed: 0.147 s
% 0.17/0.51  % (23898)Instructions burned: 8 (million)
% 0.17/0.51  % (23898)------------------------------
% 0.17/0.51  % (23898)------------------------------
% 0.17/0.51  % (23916)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.51  % (23902)First to succeed.
% 0.17/0.51  % (23902)Refutation found. Thanks to Tanya!
% 0.17/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51  % (23902)------------------------------
% 0.17/0.51  % (23902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (23902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (23902)Termination reason: Refutation
% 0.17/0.51  
% 0.17/0.51  % (23902)Memory used [KB]: 6012
% 0.17/0.51  % (23902)Time elapsed: 0.142 s
% 0.17/0.51  % (23902)Instructions burned: 18 (million)
% 0.17/0.51  % (23902)------------------------------
% 0.17/0.51  % (23902)------------------------------
% 0.17/0.51  % (23890)Success in time 0.189 s
%------------------------------------------------------------------------------