TSTP Solution File: SET065-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET065-6 : 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_uns --cores 0 -t %d %s

% Computer : n019.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 18:18:52 EDT 2022

% Result   : Unsatisfiable 1.31s 0.53s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f158,plain,
    $false,
    inference(resolution,[],[f156,f4]) ).

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

fof(f156,plain,
    ~ subclass(omega,universal_class),
    inference(resolution,[],[f148,f144]) ).

fof(f144,plain,
    member(null_class,omega),
    inference(resolution,[],[f47,f50]) ).

fof(f50,axiom,
    inductive(omega),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).

fof(f47,axiom,
    ! [X0] :
      ( ~ inductive(X0)
      | member(null_class,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).

fof(f148,plain,
    ! [X0] :
      ( ~ member(null_class,X0)
      | ~ subclass(X0,universal_class) ),
    inference(resolution,[],[f1,f92]) ).

fof(f92,axiom,
    ~ member(null_class,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_a_set_1) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET065-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 13:09:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (27173)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (27181)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (27187)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.52  % (27187)Instruction limit reached!
% 1.31/0.52  % (27187)------------------------------
% 1.31/0.52  % (27187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (27176)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.52  % (27181)Instruction limit reached!
% 1.31/0.52  % (27181)------------------------------
% 1.31/0.52  % (27181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (27181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (27181)Termination reason: Unknown
% 1.31/0.52  % (27181)Termination phase: shuffling
% 1.31/0.52  
% 1.31/0.52  % (27181)Memory used [KB]: 1407
% 1.31/0.52  % (27181)Time elapsed: 0.004 s
% 1.31/0.52  % (27181)Instructions burned: 4 (million)
% 1.31/0.52  % (27181)------------------------------
% 1.31/0.52  % (27181)------------------------------
% 1.31/0.52  % (27176)Instruction limit reached!
% 1.31/0.52  % (27176)------------------------------
% 1.31/0.52  % (27176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (27187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (27187)Termination reason: Unknown
% 1.31/0.52  % (27187)Termination phase: Saturation
% 1.31/0.52  
% 1.31/0.52  % (27187)Memory used [KB]: 1535
% 1.31/0.52  % (27187)Time elapsed: 0.005 s
% 1.31/0.52  % (27187)Instructions burned: 7 (million)
% 1.31/0.52  % (27187)------------------------------
% 1.31/0.52  % (27187)------------------------------
% 1.31/0.52  % (27195)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.31/0.52  % (27169)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.31/0.52  % (27190)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.31/0.52  % (27195)Refutation not found, incomplete strategy% (27195)------------------------------
% 1.31/0.52  % (27195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (27195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (27195)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.52  
% 1.31/0.52  % (27195)Memory used [KB]: 1407
% 1.31/0.52  % (27195)Time elapsed: 0.003 s
% 1.31/0.52  % (27195)------------------------------
% 1.31/0.52  % (27195)------------------------------
% 1.31/0.52  % (27173)First to succeed.
% 1.31/0.52  % (27176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (27176)Termination reason: Unknown
% 1.31/0.52  % (27176)Termination phase: Property scanning
% 1.31/0.52  
% 1.31/0.52  % (27176)Memory used [KB]: 1407
% 1.31/0.52  % (27176)Time elapsed: 0.003 s
% 1.31/0.52  % (27176)Instructions burned: 3 (million)
% 1.31/0.52  % (27176)------------------------------
% 1.31/0.52  % (27176)------------------------------
% 1.31/0.53  % (27173)Refutation found. Thanks to Tanya!
% 1.31/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.31/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.53  % (27173)------------------------------
% 1.31/0.53  % (27173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (27173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (27173)Termination reason: Refutation
% 1.31/0.53  
% 1.31/0.53  % (27173)Memory used [KB]: 6012
% 1.31/0.53  % (27173)Time elapsed: 0.125 s
% 1.31/0.53  % (27173)Instructions burned: 5 (million)
% 1.31/0.53  % (27173)------------------------------
% 1.31/0.53  % (27173)------------------------------
% 1.31/0.53  % (27167)Success in time 0.176 s
%------------------------------------------------------------------------------