TSTP Solution File: SET082-7 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET082-7 : 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 : n028.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 18:23:35 EDT 2022

% Result   : Unsatisfiable 1.37s 0.55s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   28 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f328,plain,
    $false,
    inference(subsumption_resolution,[],[f325,f126]) ).

fof(f126,axiom,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_1) ).

fof(f325,plain,
    member(x,universal_class),
    inference(resolution,[],[f303,f4]) ).

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

fof(f303,plain,
    ! [X22] :
      ( ~ subclass(sF0,X22)
      | member(x,X22) ),
    inference(resolution,[],[f1,f285]) ).

fof(f285,plain,
    member(x,sF0),
    inference(subsumption_resolution,[],[f284,f198]) ).

fof(f198,plain,
    null_class != sF0,
    inference(definition_folding,[],[f188,f197]) ).

fof(f197,plain,
    unordered_pair(x,x) = sF0,
    introduced(function_definition,[]) ).

fof(f188,plain,
    null_class != unordered_pair(x,x),
    inference(definition_unfolding,[],[f127,f12]) ).

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

fof(f127,axiom,
    null_class != singleton(x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_2) ).

fof(f284,plain,
    ( null_class = sF0
    | member(x,sF0) ),
    inference(superposition,[],[f66,f273]) ).

fof(f273,plain,
    x = regular(sF0),
    inference(subsumption_resolution,[],[f270,f198]) ).

fof(f270,plain,
    ( null_class = sF0
    | x = regular(sF0) ),
    inference(resolution,[],[f268,f66]) ).

fof(f268,plain,
    ! [X0] :
      ( ~ member(X0,sF0)
      | x = X0 ),
    inference(superposition,[],[f155,f197]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X0))
      | X0 = X1 ),
    inference(definition_unfolding,[],[f125,f12]) ).

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

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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET082-7 : 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 : n028.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 13:20:33 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (19065)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)
% 1.21/0.51  % (19069)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)
% 1.21/0.52  % (19074)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)
% 1.21/0.52  % (19081)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.21/0.52  % (19072)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.21/0.53  % (19071)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)
% 1.37/0.53  % (19064)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.53  % (19059)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)
% 1.37/0.53  % (19062)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)
% 1.37/0.53  % (19085)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.37/0.54  % (19070)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.54  % (19068)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.37/0.54  % (19087)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)
% 1.37/0.54  % (19075)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)
% 1.37/0.54  % (19080)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)
% 1.37/0.54  % (19090)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)
% 1.37/0.55  % (19067)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.55  % (19086)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)
% 1.37/0.55  % (19079)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)
% 1.37/0.55  % (19072)First to succeed.
% 1.37/0.55  % (19067)Instruction limit reached!
% 1.37/0.55  % (19067)------------------------------
% 1.37/0.55  % (19067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (19067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (19067)Termination reason: Unknown
% 1.37/0.55  % (19067)Termination phase: Saturation
% 1.37/0.55  
% 1.37/0.55  % (19067)Memory used [KB]: 5500
% 1.37/0.55  % (19067)Time elapsed: 0.146 s
% 1.37/0.55  % (19067)Instructions burned: 7 (million)
% 1.37/0.55  % (19067)------------------------------
% 1.37/0.55  % (19067)------------------------------
% 1.37/0.55  % (19078)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.55  % (19083)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)
% 1.37/0.55  % (19072)Refutation found. Thanks to Tanya!
% 1.37/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.37/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.55  % (19072)------------------------------
% 1.37/0.55  % (19072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (19072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (19072)Termination reason: Refutation
% 1.37/0.55  
% 1.37/0.55  % (19072)Memory used [KB]: 5884
% 1.37/0.55  % (19072)Time elapsed: 0.126 s
% 1.37/0.55  % (19072)Instructions burned: 16 (million)
% 1.37/0.55  % (19072)------------------------------
% 1.37/0.55  % (19072)------------------------------
% 1.37/0.55  % (19055)Success in time 0.202 s
%------------------------------------------------------------------------------