TSTP Solution File: SET013-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.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 : Tue May 21 03:14:20 EDT 2024

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   30 (  13   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2309,plain,
    $false,
    inference(resolution,[],[f2157,f22]) ).

fof(f22,axiom,
    ~ equal_sets(intersection(as,bs),intersection(bs,as)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).

fof(f2157,plain,
    ! [X0,X1] : equal_sets(intersection(X1,X0),intersection(X0,X1)),
    inference(subsumption_resolution,[],[f2155,f824]) ).

fof(f824,plain,
    ! [X0,X1] : subset(intersection(X0,X1),intersection(X1,X0)),
    inference(duplicate_literal_removal,[],[f809]) ).

fof(f809,plain,
    ! [X0,X1] :
      ( subset(intersection(X0,X1),intersection(X1,X0))
      | subset(intersection(X0,X1),intersection(X1,X0)) ),
    inference(resolution,[],[f149,f36]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( member(member_of_1_not_of_2(intersection(X0,X1),X2),X1)
      | subset(intersection(X0,X1),X2) ),
    inference(resolution,[],[f12,f3]) ).

fof(f3,axiom,
    ! [X2,X3] :
      ( member(member_of_1_not_of_2(X2,X3),X2)
      | subset(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom1) ).

fof(f12,axiom,
    ! [X0,X4,X5] :
      ( ~ member(X0,intersection(X4,X5))
      | member(X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( ~ member(member_of_1_not_of_2(intersection(X0,X1),intersection(X2,X0)),X2)
      | subset(intersection(X0,X1),intersection(X2,X0)) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ member(member_of_1_not_of_2(intersection(X0,X1),intersection(X2,X0)),X2)
      | subset(intersection(X0,X1),intersection(X2,X0))
      | subset(intersection(X0,X1),intersection(X2,X0)) ),
    inference(resolution,[],[f53,f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( member(member_of_1_not_of_2(intersection(X0,X1),X2),X0)
      | subset(intersection(X0,X1),X2) ),
    inference(resolution,[],[f11,f3]) ).

fof(f11,axiom,
    ! [X0,X4,X5] :
      ( ~ member(X0,intersection(X4,X5))
      | member(X0,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ member(member_of_1_not_of_2(X0,intersection(X1,X2)),X2)
      | ~ member(member_of_1_not_of_2(X0,intersection(X1,X2)),X1)
      | subset(X0,intersection(X1,X2)) ),
    inference(resolution,[],[f10,f4]) ).

fof(f4,axiom,
    ! [X2,X3] :
      ( ~ member(member_of_1_not_of_2(X2,X3),X3)
      | subset(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom2) ).

fof(f10,axiom,
    ! [X0,X4,X5] :
      ( member(X0,intersection(X4,X5))
      | ~ member(X0,X5)
      | ~ member(X0,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).

fof(f2155,plain,
    ! [X0,X1] :
      ( ~ subset(intersection(X0,X1),intersection(X1,X0))
      | equal_sets(intersection(X1,X0),intersection(X0,X1)) ),
    inference(resolution,[],[f824,f15]) ).

fof(f15,axiom,
    ! [X6,X7] :
      ( ~ subset(X7,X6)
      | ~ subset(X6,X7)
      | equal_sets(X7,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n026.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   : Mon May 20 12:08:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (21906)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (21914)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (21907)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (21908)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (21911)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  % (21913)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  % (21912)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36  % (21909)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.36  TRYING [1]
% 0.13/0.36  TRYING [2]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [1,1,1]
% 0.13/0.37  TRYING [1,1,1]
% 0.13/0.37  TRYING [2,1,1]
% 0.13/0.37  TRYING [2,1,1]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  TRYING [3,1,1]
% 0.13/0.37  TRYING [3,1,1]
% 0.13/0.37  TRYING [4]
% 0.13/0.37  TRYING [4]
% 0.13/0.37  TRYING [4,1,1]
% 0.13/0.37  TRYING [4,1,1]
% 0.13/0.37  TRYING [3,2,1]
% 0.13/0.37  TRYING [3,2,1]
% 0.13/0.37  TRYING [5]
% 0.13/0.37  TRYING [5]
% 0.13/0.37  TRYING [4,2,1]
% 0.13/0.37  TRYING [4,2,1]
% 0.13/0.38  TRYING [3,3,1]
% 0.13/0.38  TRYING [3,3,1]
% 0.13/0.38  TRYING [4,3,1]
% 0.13/0.38  TRYING [4,3,1]
% 0.13/0.38  TRYING [5,1,1]
% 0.13/0.38  TRYING [5,1,1]
% 0.13/0.39  TRYING [6]
% 0.13/0.39  TRYING [5,2,1]
% 0.13/0.39  TRYING [5,2,1]
% 0.13/0.39  TRYING [6]
% 0.19/0.40  TRYING [5,3,1]
% 0.19/0.40  TRYING [5,3,1]
% 0.19/0.40  % (21913)First to succeed.
% 0.19/0.40  % (21913)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21906"
% 0.19/0.40  % (21913)Refutation found. Thanks to Tanya!
% 0.19/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.40  % (21913)------------------------------
% 0.19/0.40  % (21913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.40  % (21913)Termination reason: Refutation
% 0.19/0.40  
% 0.19/0.40  % (21913)Memory used [KB]: 1485
% 0.19/0.40  % (21913)Time elapsed: 0.039 s
% 0.19/0.40  % (21913)Instructions burned: 73 (million)
% 0.19/0.40  % (21906)Success in time 0.056 s
%------------------------------------------------------------------------------