TSTP Solution File: SET203-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET203-6 : 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 18:19:46 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f134,plain,
    $false,
    inference(subsumption_resolution,[],[f132,f128]) ).

fof(f128,plain,
    ~ member(v,universal_class),
    inference(subsumption_resolution,[],[f126,f124]) ).

fof(f124,plain,
    member(u,universal_class),
    inference(resolution,[],[f120,f4]) ).

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

fof(f120,plain,
    ! [X0] :
      ( ~ subclass(x,X0)
      | member(u,X0) ),
    inference(resolution,[],[f113,f1]) ).

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

fof(f113,axiom,
    member(u,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_1) ).

fof(f126,plain,
    ( ~ member(v,universal_class)
    | ~ member(u,universal_class) ),
    inference(resolution,[],[f115,f16]) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(X2,X3),cross_product(X0,X1))
      | ~ member(X2,X0)
      | ~ member(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).

fof(f115,axiom,
    ~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_3) ).

fof(f132,plain,
    member(v,universal_class),
    inference(resolution,[],[f121,f4]) ).

fof(f121,plain,
    ! [X0] :
      ( ~ subclass(y,X0)
      | member(v,X0) ),
    inference(resolution,[],[f114,f1]) ).

fof(f114,axiom,
    member(v,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SET203-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33  % Computer : n019.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 13:30:35 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.49  % (15834)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.49  % (15838)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)
% 0.18/0.50  % (15851)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.50  % (15846)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (15854)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.50  % (15859)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50  % (15838)Instruction limit reached!
% 0.18/0.50  % (15838)------------------------------
% 0.18/0.50  % (15838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (15854)Refutation not found, incomplete strategy% (15854)------------------------------
% 0.18/0.50  % (15854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (15838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (15838)Termination reason: Unknown
% 0.18/0.50  % (15838)Termination phase: Property scanning
% 0.18/0.50  
% 0.18/0.50  % (15838)Memory used [KB]: 1407
% 0.18/0.50  % (15838)Time elapsed: 0.004 s
% 0.18/0.50  % (15838)Instructions burned: 4 (million)
% 0.18/0.50  % (15838)------------------------------
% 0.18/0.50  % (15838)------------------------------
% 0.18/0.50  % (15843)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)
% 0.18/0.50  % (15854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (15854)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (15854)Memory used [KB]: 5884
% 0.18/0.50  % (15854)Time elapsed: 0.112 s
% 0.18/0.50  % (15854)Instructions burned: 2 (million)
% 0.18/0.50  % (15854)------------------------------
% 0.18/0.50  % (15854)------------------------------
% 0.18/0.51  % (15846)Instruction limit reached!
% 0.18/0.51  % (15846)------------------------------
% 0.18/0.51  % (15846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (15846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (15846)Termination reason: Unknown
% 0.18/0.51  % (15846)Termination phase: shuffling
% 0.18/0.51  
% 0.18/0.51  % (15846)Memory used [KB]: 1407
% 0.18/0.51  % (15846)Time elapsed: 0.004 s
% 0.18/0.51  % (15846)Instructions burned: 2 (million)
% 0.18/0.51  % (15846)------------------------------
% 0.18/0.51  % (15846)------------------------------
% 0.18/0.51  % (15859)First to succeed.
% 0.18/0.51  % (15845)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.51  % (15843)Instruction limit reached!
% 0.18/0.51  % (15843)------------------------------
% 0.18/0.51  % (15843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (15851)Refutation not found, incomplete strategy% (15851)------------------------------
% 0.18/0.51  % (15851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (15851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (15851)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (15851)Memory used [KB]: 5884
% 0.18/0.51  % (15851)Time elapsed: 0.111 s
% 0.18/0.51  % (15851)Instructions burned: 2 (million)
% 0.18/0.51  % (15851)------------------------------
% 0.18/0.51  % (15851)------------------------------
% 0.18/0.51  % (15845)Instruction limit reached!
% 0.18/0.51  % (15845)------------------------------
% 0.18/0.51  % (15845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (15845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (15845)Termination reason: Unknown
% 0.18/0.51  % (15845)Termination phase: Finite model building preprocessing
% 0.18/0.51  
% 0.18/0.51  % (15845)Memory used [KB]: 1535
% 0.18/0.51  % (15845)Time elapsed: 0.003 s
% 0.18/0.51  % (15845)Instructions burned: 7 (million)
% 0.18/0.51  % (15845)------------------------------
% 0.18/0.51  % (15845)------------------------------
% 0.18/0.51  % (15859)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (15859)------------------------------
% 0.18/0.51  % (15859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (15859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (15859)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (15859)Memory used [KB]: 6012
% 0.18/0.51  % (15859)Time elapsed: 0.110 s
% 0.18/0.51  % (15859)Instructions burned: 3 (million)
% 0.18/0.51  % (15859)------------------------------
% 0.18/0.51  % (15859)------------------------------
% 0.18/0.51  % (15829)Success in time 0.17 s
%------------------------------------------------------------------------------