TSTP Solution File: SEU123+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SEU123+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n004.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  : 0s
% DateTime : Tue Jul 19 07:10:44 EDT 2022

% Result   : Theorem 0.70s 1.09s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU123+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Mon Jun 20 05:34:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.70/1.09  *** allocated 10000 integers for termspace/termends
% 0.70/1.09  *** allocated 10000 integers for clauses
% 0.70/1.09  *** allocated 10000 integers for justifications
% 0.70/1.09  Bliksem 1.12
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Automatic Strategy Selection
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Clauses:
% 0.70/1.09  
% 0.70/1.09  { ! in( X, Y ), ! in( Y, X ) }.
% 0.70/1.09  { ! X = Y, subset( X, Y ) }.
% 0.70/1.09  { ! X = Y, subset( Y, X ) }.
% 0.70/1.09  { ! subset( X, Y ), ! subset( Y, X ), X = Y }.
% 0.70/1.09  { && }.
% 0.70/1.09  { empty( empty_set ) }.
% 0.70/1.09  { empty( skol1 ) }.
% 0.70/1.09  { ! empty( skol2 ) }.
% 0.70/1.09  { subset( X, X ) }.
% 0.70/1.09  { subset( empty_set, X ) }.
% 0.70/1.09  { subset( skol3, empty_set ) }.
% 0.70/1.09  { ! skol3 = empty_set }.
% 0.70/1.09  { ! empty( X ), X = empty_set }.
% 0.70/1.09  { ! in( X, Y ), ! empty( Y ) }.
% 0.70/1.09  { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.70/1.09  
% 0.70/1.09  percentage equality = 0.250000, percentage horn = 1.000000
% 0.70/1.09  This is a problem with some equality
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Options Used:
% 0.70/1.09  
% 0.70/1.09  useres =            1
% 0.70/1.09  useparamod =        1
% 0.70/1.09  useeqrefl =         1
% 0.70/1.09  useeqfact =         1
% 0.70/1.09  usefactor =         1
% 0.70/1.09  usesimpsplitting =  0
% 0.70/1.09  usesimpdemod =      5
% 0.70/1.09  usesimpres =        3
% 0.70/1.09  
% 0.70/1.09  resimpinuse      =  1000
% 0.70/1.09  resimpclauses =     20000
% 0.70/1.09  substype =          eqrewr
% 0.70/1.09  backwardsubs =      1
% 0.70/1.09  selectoldest =      5
% 0.70/1.09  
% 0.70/1.09  litorderings [0] =  split
% 0.70/1.09  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.70/1.09  
% 0.70/1.09  termordering =      kbo
% 0.70/1.09  
% 0.70/1.09  litapriori =        0
% 0.70/1.09  termapriori =       1
% 0.70/1.09  litaposteriori =    0
% 0.70/1.09  termaposteriori =   0
% 0.70/1.09  demodaposteriori =  0
% 0.70/1.09  ordereqreflfact =   0
% 0.70/1.09  
% 0.70/1.09  litselect =         negord
% 0.70/1.09  
% 0.70/1.09  maxweight =         15
% 0.70/1.09  maxdepth =          30000
% 0.70/1.09  maxlength =         115
% 0.70/1.09  maxnrvars =         195
% 0.70/1.09  excuselevel =       1
% 0.70/1.09  increasemaxweight = 1
% 0.70/1.09  
% 0.70/1.09  maxselected =       10000000
% 0.70/1.09  maxnrclauses =      10000000
% 0.70/1.09  
% 0.70/1.09  showgenerated =    0
% 0.70/1.09  showkept =         0
% 0.70/1.09  showselected =     0
% 0.70/1.09  showdeleted =      0
% 0.70/1.09  showresimp =       1
% 0.70/1.09  showstatus =       2000
% 0.70/1.09  
% 0.70/1.09  prologoutput =     0
% 0.70/1.09  nrgoals =          5000000
% 0.70/1.09  totalproof =       1
% 0.70/1.09  
% 0.70/1.09  Symbols occurring in the translation:
% 0.70/1.09  
% 0.70/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.70/1.09  .  [1, 2]      (w:1, o:18, a:1, s:1, b:0), 
% 0.70/1.09  &&  [3, 0]      (w:1, o:4, a:1, s:1, b:0), 
% 0.70/1.09  !  [4, 1]      (w:0, o:12, a:1, s:1, b:0), 
% 0.70/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.09  in  [37, 2]      (w:1, o:42, a:1, s:1, b:0), 
% 0.70/1.09  subset  [38, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.70/1.09  empty_set  [39, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.70/1.09  empty  [40, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.70/1.09  skol1  [41, 0]      (w:1, o:9, a:1, s:1, b:1), 
% 0.70/1.09  skol2  [42, 0]      (w:1, o:10, a:1, s:1, b:1), 
% 0.70/1.09  skol3  [43, 0]      (w:1, o:11, a:1, s:1, b:1).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Starting Search:
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Bliksems!, er is een bewijs:
% 0.70/1.09  % SZS status Theorem
% 0.70/1.09  % SZS output start Refutation
% 0.70/1.09  
% 0.70/1.09  (1) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subset( X, Y ) }.
% 0.70/1.09  (2) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X ), X = Y }.
% 0.70/1.09  (7) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 0.70/1.09  (8) {G0,W3,D2,L1,V1,M1} I { subset( empty_set, X ) }.
% 0.70/1.09  (9) {G0,W3,D2,L1,V0,M1} I { subset( skol3, empty_set ) }.
% 0.70/1.09  (10) {G0,W3,D2,L1,V0,M1} I { ! skol3 ==> empty_set }.
% 0.70/1.09  (23) {G1,W3,D2,L1,V0,M1} R(2,9);r(8) { skol3 ==> empty_set }.
% 0.70/1.09  (28) {G2,W6,D2,L2,V1,M2} P(2,10);d(23);d(23);r(1) { ! X = empty_set, ! 
% 0.70/1.09    subset( empty_set, X ) }.
% 0.70/1.09  (32) {G3,W0,D0,L0,V0,M0} Q(28);r(7) {  }.
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  % SZS output end Refutation
% 0.70/1.09  found a proof!
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Unprocessed initial clauses:
% 0.70/1.09  
% 0.70/1.09  (34) {G0,W6,D2,L2,V2,M2}  { ! in( X, Y ), ! in( Y, X ) }.
% 0.70/1.09  (35) {G0,W6,D2,L2,V2,M2}  { ! X = Y, subset( X, Y ) }.
% 0.70/1.09  (36) {G0,W6,D2,L2,V2,M2}  { ! X = Y, subset( Y, X ) }.
% 0.70/1.09  (37) {G0,W9,D2,L3,V2,M3}  { ! subset( X, Y ), ! subset( Y, X ), X = Y }.
% 0.70/1.09  (38) {G0,W1,D1,L1,V0,M1}  { && }.
% 0.70/1.09  (39) {G0,W2,D2,L1,V0,M1}  { empty( empty_set ) }.
% 0.70/1.09  (40) {G0,W2,D2,L1,V0,M1}  { empty( skol1 ) }.
% 0.70/1.09  (41) {G0,W2,D2,L1,V0,M1}  { ! empty( skol2 ) }.
% 0.70/1.09  (42) {G0,W3,D2,L1,V1,M1}  { subset( X, X ) }.
% 0.70/1.09  (43) {G0,W3,D2,L1,V1,M1}  { subset( empty_set, X ) }.
% 0.70/1.09  (44) {G0,W3,D2,L1,V0,M1}  { subset( skol3, empty_set ) }.
% 0.70/1.09  (45) {G0,W3,D2,L1,V0,M1}  { ! skol3 = empty_set }.
% 0.70/1.09  (46) {G0,W5,D2,L2,V1,M2}  { ! empty( X ), X = empty_set }.
% 0.70/1.09  (47) {G0,W5,D2,L2,V2,M2}  { ! in( X, Y ), ! empty( Y ) }.
% 0.70/1.09  (48) {G0,W7,D2,L3,V2,M3}  { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Total Proof:
% 0.70/1.09  
% 0.70/1.09  subsumption: (1) {G0,W6,D2,L2,V2,M2} I { ! X = Y, subset( X, Y ) }.
% 0.70/1.09  parent0: (35) {G0,W6,D2,L2,V2,M2}  { ! X = Y, subset( X, Y ) }.
% 0.70/1.09  substitution0:
% 0.70/1.09     X := X
% 0.70/1.09     Y := Y
% 0.70/1.09  end
% 0.70/1.09  permutationCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------