TSTP Solution File: SET096-7 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET096-7 : 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 : 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 : Wed Aug 31 18:23:40 EDT 2022

% Result   : Unsatisfiable 1.87s 0.62s
% Output   : Refutation 1.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :   49 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  18   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f682,plain,
    $false,
    inference(avatar_sat_refutation,[],[f674,f676,f680]) ).

fof(f680,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f679]) ).

fof(f679,plain,
    ( $false
    | spl0_22 ),
    inference(subsumption_resolution,[],[f677,f652]) ).

fof(f652,plain,
    member(y,x),
    inference(subsumption_resolution,[],[f651,f141]) ).

fof(f141,axiom,
    null_class != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).

fof(f651,plain,
    ( member(y,x)
    | null_class = x ),
    inference(superposition,[],[f66,f558]) ).

fof(f558,plain,
    y = regular(x),
    inference(subsumption_resolution,[],[f547,f141]) ).

fof(f547,plain,
    ( null_class = x
    | y = regular(x) ),
    inference(resolution,[],[f529,f66]) ).

fof(f529,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | y = X0 ),
    inference(resolution,[],[f405,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X0))
      | X0 = X1 ),
    inference(definition_unfolding,[],[f125,f12]) ).

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

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

fof(f405,plain,
    ! [X28] :
      ( member(X28,unordered_pair(y,y))
      | ~ member(X28,x) ),
    inference(resolution,[],[f1,f194]) ).

fof(f194,plain,
    subclass(x,unordered_pair(y,y)),
    inference(definition_unfolding,[],[f140,f12]) ).

fof(f140,axiom,
    subclass(x,singleton(y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).

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

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

fof(f677,plain,
    ( ~ member(y,x)
    | spl0_22 ),
    inference(resolution,[],[f672,f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( subclass(unordered_pair(X0,X0),X1)
      | ~ member(X0,X1) ),
    inference(definition_unfolding,[],[f139,f12]) ).

fof(f139,axiom,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | subclass(singleton(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_singletons2) ).

fof(f672,plain,
    ( ~ subclass(unordered_pair(y,y),x)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f670,plain,
    ( spl0_22
  <=> subclass(unordered_pair(y,y),x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f676,plain,
    ~ spl0_21,
    inference(avatar_split_clause,[],[f201,f666]) ).

fof(f666,plain,
    ( spl0_21
  <=> x = unordered_pair(y,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f201,plain,
    x != unordered_pair(y,y),
    inference(definition_unfolding,[],[f142,f12]) ).

fof(f142,axiom,
    x != singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).

fof(f674,plain,
    ( ~ spl0_22
    | spl0_21 ),
    inference(avatar_split_clause,[],[f663,f666,f670]) ).

fof(f663,plain,
    ( x = unordered_pair(y,y)
    | ~ subclass(unordered_pair(y,y),x) ),
    inference(resolution,[],[f194,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET096-7 : 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
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 13:38:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  % (17237)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.56  % (17235)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)
% 0.19/0.56  % (17229)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56  % (17221)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56  % (17221)Instruction limit reached!
% 0.19/0.56  % (17221)------------------------------
% 0.19/0.56  % (17221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (17221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (17221)Termination reason: Unknown
% 0.19/0.56  % (17221)Termination phase: Function definition elimination
% 0.19/0.56  
% 0.19/0.56  % (17221)Memory used [KB]: 1023
% 0.19/0.56  % (17221)Time elapsed: 0.005 s
% 0.19/0.56  % (17221)Instructions burned: 2 (million)
% 0.19/0.56  % (17221)------------------------------
% 0.19/0.56  % (17221)------------------------------
% 0.19/0.57  % (17219)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)
% 0.19/0.58  % (17227)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)
% 0.19/0.60  % (17213)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)
% 0.19/0.61  % (17216)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)
% 0.19/0.61  % (17229)First to succeed.
% 1.87/0.62  % (17236)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)
% 1.87/0.62  % (17240)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)
% 1.87/0.62  % (17229)Refutation found. Thanks to Tanya!
% 1.87/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.87/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.62  % (17229)------------------------------
% 1.87/0.62  % (17229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62  % (17229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62  % (17229)Termination reason: Refutation
% 1.87/0.62  
% 1.87/0.62  % (17229)Memory used [KB]: 5756
% 1.87/0.62  % (17229)Time elapsed: 0.178 s
% 1.87/0.62  % (17229)Instructions burned: 22 (million)
% 1.87/0.62  % (17229)------------------------------
% 1.87/0.62  % (17229)------------------------------
% 1.87/0.62  % (17212)Success in time 0.27 s
%------------------------------------------------------------------------------