TSTP Solution File: SET386-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET386-6 : 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 : n011.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 18:24:36 EDT 2022

% Result   : Unsatisfiable 1.60s 0.60s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f198,plain,
    $false,
    inference(subsumption_resolution,[],[f196,f187]) ).

fof(f187,plain,
    ~ member(not_subclass_element(x,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)),
    inference(resolution,[],[f3,f114]) ).

fof(f114,axiom,
    ~ subclass(x,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relation_property4_2) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f196,plain,
    member(not_subclass_element(x,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)),
    inference(resolution,[],[f195,f186]) ).

fof(f186,plain,
    member(not_subclass_element(x,cross_product(universal_class,universal_class)),x),
    inference(resolution,[],[f2,f114]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f195,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | member(X0,cross_product(universal_class,universal_class)) ),
    inference(superposition,[],[f21,f131]) ).

fof(f131,plain,
    x = intersection(cross_product(universal_class,universal_class),x),
    inference(definition_unfolding,[],[f113,f29]) ).

fof(f29,axiom,
    ! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).

fof(f113,axiom,
    x = restrict(x,universal_class,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relation_property4_1) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET386-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 13:42:55 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.56  % (13232)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)
% 0.21/0.56  % (13233)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56  % (13248)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)
% 0.21/0.57  % (13241)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)
% 0.21/0.57  % (13249)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)
% 0.21/0.58  % (13240)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)
% 0.21/0.58  % (13233)Instruction limit reached!
% 0.21/0.58  % (13233)------------------------------
% 0.21/0.58  % (13233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (13233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (13233)Termination reason: Unknown
% 0.21/0.59  % (13233)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (13233)Memory used [KB]: 5500
% 0.21/0.59  % (13233)Time elapsed: 0.136 s
% 0.21/0.59  % (13233)Instructions burned: 7 (million)
% 0.21/0.59  % (13233)------------------------------
% 0.21/0.59  % (13233)------------------------------
% 1.60/0.60  % (13248)First to succeed.
% 1.60/0.60  % (13248)Refutation found. Thanks to Tanya!
% 1.60/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.60/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.60  % (13248)------------------------------
% 1.60/0.60  % (13248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.60  % (13248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.60  % (13248)Termination reason: Refutation
% 1.60/0.60  
% 1.60/0.60  % (13248)Memory used [KB]: 1151
% 1.60/0.60  % (13248)Time elapsed: 0.171 s
% 1.60/0.60  % (13248)Instructions burned: 8 (million)
% 1.60/0.60  % (13248)------------------------------
% 1.60/0.60  % (13248)------------------------------
% 1.60/0.60  % (13225)Success in time 0.239 s
%------------------------------------------------------------------------------