%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX196+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 May 5 06:56:46 PM UTC 2026
% Result : Timeout 299.64s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX196+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.13 % Command : bliksem %s
% 0.17/0.34 % Computer : n015.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % DateTime : Tue May 5 10:59:16 EDT 2026
% 0.17/0.34 % CPUTime :
% 6.13/6.59 *** allocated 10000 integers for termspace/termends
% 6.13/6.59 *** allocated 10000 integers for clauses
% 6.13/6.59 *** allocated 10000 integers for justifications
% 6.13/6.59 Bliksem 1.12
% 6.13/6.59
% 6.13/6.59
% 6.13/6.59 Automatic Strategy Selection
% 6.13/6.59
% 6.13/6.59
% 6.13/6.59 Clauses:
% 6.13/6.59
% 6.13/6.59 { head( cons( X, Y ) ) = X }.
% 6.13/6.59 { tail( cons( X, Y ) ) = Y }.
% 6.13/6.59 { ! nil = cons( X, Y ) }.
% 6.13/6.59 { proj1Suc( suc( X ) ) = X }.
% 6.13/6.59 { ! zero = suc( X ) }.
% 6.13/6.59 { proj1N( n( X ) ) = X }.
% 6.13/6.59 { proj1Add( add( X, Y ) ) = X }.
% 6.13/6.59 { proj2Add( add( X, Y ) ) = Y }.
% 6.13/6.59 { proj1Mul( mul( X, Y ) ) = X }.
% 6.13/6.59 { proj2Mul( mul( X, Y ) ) = Y }.
% 6.13/6.59 { proj1Eq( eq( X, Y ) ) = X }.
% 6.13/6.59 { proj2Eq( eq( X, Y ) ) = Y }.
% 6.13/6.59 { proj1V( v( X ) ) = X }.
% 6.13/6.59 { ! n( X ) = add( Y, Z ) }.
% 6.13/6.59 { ! n( X ) = mul( Y, Z ) }.
% 6.13/6.59 { ! n( X ) = eq( Y, Z ) }.
% 6.13/6.59 { ! n( X ) = v( Y ) }.
% 6.13/6.59 { ! add( X, Y ) = mul( Z, T ) }.
% 6.13/6.59 { ! add( X, Y ) = eq( Z, T ) }.
% 6.13/6.59 { ! add( X, Y ) = v( Z ) }.
% 6.13/6.59 { ! mul( X, Y ) = eq( Z, T ) }.
% 6.13/6.59 { ! mul( X, Y ) = v( Z ) }.
% 6.13/6.59 { ! eq( X, Y ) = v( Z ) }.
% 6.13/6.59 { ! X = Y, fail1( X, Y ) = mul( n( suc( suc( zero ) ) ), X ) }.
% 6.13/6.59 { X = Y, X = add( proj1Add( X ), proj2Add( X ) ), fail1( X, Y ) = add( X, Y
% 6.13/6.59 ) }.
% 6.13/6.59 { add( Y, Z ) = X, fail1( add( Y, Z ), X ) = add( Y, add( Z, X ) ) }.
% 6.13/6.59 { X = n( proj1N( X ) ), fail( Y, X ) = fail1( Y, X ) }.
% 6.13/6.59 { fail( X, n( zero ) ) = X }.
% 6.13/6.59 { fail( X, n( suc( Y ) ) ) = fail1( X, n( suc( Y ) ) ) }.
% 6.13/6.59 { X = mul( proj1Mul( X ), proj2Mul( X ) ), fail3( X, Y ) = mul( X, Y ) }.
% 6.13/6.59 { fail3( mul( Y, Z ), X ) = mul( Y, mul( Z, X ) ) }.
% 6.13/6.59 { X = n( proj1N( X ) ), fail22( Y, X ) = fail3( Y, X ) }.
% 6.13/6.59 { fail22( X, n( zero ) ) = fail3( X, n( zero ) ) }.
% 6.13/6.59 { fail22( X, n( suc( zero ) ) ) = X }.
% 6.13/6.59 { fail22( X, n( suc( suc( Y ) ) ) ) = fail3( X, n( suc( suc( Y ) ) ) ) }.
% 6.13/6.59 { X = n( proj1N( X ) ), fail12( X, Y ) = fail22( X, Y ) }.
% 6.13/6.59 { fail12( n( zero ), X ) = fail22( n( zero ), X ) }.
% 6.13/6.59 { fail12( n( suc( zero ) ), X ) = X }.
% 6.13/6.59 { fail12( n( suc( suc( Y ) ) ), X ) = fail22( n( suc( suc( Y ) ) ), X ) }.
% 6.13/6.59 { X = n( proj1N( X ) ), fail2( Y, X ) = fail12( Y, X ) }.
% 6.13/6.59 { fail2( X, n( zero ) ) = n( zero ) }.
% 6.13/6.59 { fail2( X, n( suc( Y ) ) ) = fail12( X, n( suc( Y ) ) ) }.
% 6.13/6.59 { X = add( proj1Add( X ), proj2Add( X ) ), X = mul( proj1Mul( X ), proj2Mul
% 6.13/6.59 ( X ) ), X = eq( proj1Eq( X ), proj2Eq( X ) ), step4( X ) = X }.
% 6.13/6.59 { X = n( proj1N( X ) ), step4( add( X, Y ) ) = fail( X, Y ) }.
% 6.13/6.59 { step4( add( n( zero ), X ) ) = X }.
% 6.13/6.59 { step4( add( n( suc( Y ) ), X ) ) = fail( n( suc( Y ) ), X ) }.
% 6.13/6.59 { X = n( proj1N( X ) ), step4( mul( X, Y ) ) = fail2( X, Y ) }.
% 6.13/6.59 { step4( mul( n( zero ), X ) ) = n( zero ) }.
% 6.13/6.59 { step4( mul( n( suc( Y ) ), X ) ) = fail2( n( suc( Y ) ), X ) }.
% 6.13/6.59 { ! X = Y, step4( eq( X, Y ) ) = n( suc( zero ) ) }.
% 6.13/6.59 { X = Y, step4( eq( X, Y ) ) = eq( X, Y ) }.
% 6.13/6.59 { X = add( proj1Add( X ), proj2Add( X ) ), X = mul( proj1Mul( X ), proj2Mul
% 6.13/6.59 ( X ) ), X = eq( proj1Eq( X ), proj2Eq( X ) ), simp4( X ) = step4( X ) }
% 6.13/6.59 .
% 6.13/6.59 { simp4( add( X, Y ) ) = step4( add( simp4( X ), simp4( Y ) ) ) }.
% 6.13/6.59 { simp4( mul( X, Y ) ) = step4( mul( simp4( X ), simp4( Y ) ) ) }.
% 6.13/6.59 { simp4( eq( X, Y ) ) = step4( eq( simp4( X ), simp4( Y ) ) ) }.
% 6.13/6.59 { fetch( nil, X ) = zero }.
% 6.13/6.59 { fetch( cons( X, Y ), zero ) = X }.
% 6.13/6.59 { fetch( cons( X, Y ), suc( Z ) ) = fetch( Y, Z ) }.
% 6.13/6.59 { addNat( zero, X ) = X }.
% 6.13/6.59 { addNat( suc( Y ), X ) = suc( addNat( Y, X ) ) }.
% 6.13/6.59 { mulNat( zero, X ) = zero }.
% 6.13/6.59 { mulNat( suc( Y ), X ) = addNat( X, mulNat( Y, X ) ) }.
% 6.13/6.59 { eval( X, n( Y ) ) = Y }.
% 6.13/6.59 { eval( X, add( Y, Z ) ) = addNat( eval( X, Y ), eval( X, Z ) ) }.
% 6.13/6.59 { eval( X, mul( Y, Z ) ) = mulNat( eval( X, Y ), eval( X, Z ) ) }.
% 6.13/6.59 { ! eval( X, Y ) = eval( X, Z ), eval( X, eq( Y, Z ) ) = suc( zero ) }.
% 6.13/6.59 { eval( X, Y ) = eval( X, Z ), eval( X, eq( Y, Z ) ) = zero }.
% 6.13/6.59 { eval( X, v( Y ) ) = fetch( X, Y ) }.
% 6.13/6.59 { eval( X, Y ) = eval( X, simp4( Y ) ) }.
% 6.13/6.59
% 6.13/6.59 percentage equality = 1.000000, percentage horn = 0.811594
% 6.13/6.59 This is a pure equality problem
% 6.13/6.59
% 6.13/6.59
% 6.13/6.59
% 6.13/6.59 Options Used:
% 6.13/6.59
% 6.13/6.59 useres = 1
% 6.13/6.59 useparamod = 1
% 6.13/6.59 useeqrefl = 1
% 6.13/6.59 useeqfact = 1
% 6.13/6.59 usefactor = 1
% 6.13/6.59 usesimpsplitting = 0
% 6.13/6.59 usesimpdemod = 5
% 6.13/6.59 usesimpres = 3
% 6.13/6.59
% 6.13/6.59 resimpinuse = 1000
% 6.13/6.59 resimpclauses = 20000
% 6.13/6.59 substype = eqrewr
% 6.13/6.59 backwardsubs = 1
% 6.13/6.59 selectoldest = 5
% 6.13/6.59
% 6.13/6.59 litorderings [0] = split
% 6.13/6.59 litorderings [1] = extend the termordering, first sorting on arguments
% 6.13/6.59
% 6.13/6.59 termordering = kbo
% 6.13/6.59
% 6.13/6.59 litapriori = 0
% 281.74/282.17 termapriori = 1
% 281.74/282.17 litaposteriori = 0
% 281.74/282.17 termaposteriori = 0
% 281.74/282.17 demodaposteriori = 0
% 281.74/282.17 ordereqreflfact = 0
% 281.74/282.17
% 281.74/282.17 litselect = negord
% 281.74/282.17
% 281.74/282.17 maxweight = 15
% 281.74/282.17 maxdepth = 30000
% 281.74/282.17 maxlength = 115
% 281.74/282.17 maxnrvars = 195
% 281.74/282.17 excuselevel = 1
% 281.74/282.17 increasemaxweight = 1
% 281.74/282.17
% 281.74/282.17 maxselected = 10000000
% 281.74/282.17 maxnrclauses = 10000000
% 281.74/282.17
% 281.74/282.17 showgenerated = 0
% 281.74/282.17 showkept = 0
% 281.74/282.17 showselected = 0
% 281.74/282.17 showdeleted = 0
% 281.74/282.17 showresimp = 1
% 281.74/282.17 showstatus = 2000
% 281.74/282.17
% 281.74/282.17 prologoutput = 0
% 281.74/282.17 nrgoals = 5000000
% 281.74/282.17 totalproof = 1
% 281.74/282.17
% 281.74/282.17 Symbols occurring in the translation:
% 281.74/282.17
% 281.74/282.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 281.74/282.17 . [1, 2] (w:1, o:51, a:1, s:1, b:0),
% 281.74/282.17 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 281.74/282.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 281.74/282.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 281.74/282.17 cons [37, 2] (w:1, o:75, a:1, s:1, b:0),
% 281.74/282.17 head [38, 1] (w:1, o:35, a:1, s:1, b:0),
% 281.74/282.17 tail [39, 1] (w:1, o:39, a:1, s:1, b:0),
% 281.74/282.17 nil [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 281.74/282.17 suc [41, 1] (w:1, o:37, a:1, s:1, b:0),
% 281.74/282.17 proj1Suc [42, 1] (w:1, o:40, a:1, s:1, b:0),
% 281.74/282.17 zero [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 281.74/282.17 n [44, 1] (w:1, o:41, a:1, s:1, b:0),
% 281.74/282.17 proj1N [45, 1] (w:1, o:43, a:1, s:1, b:0),
% 281.74/282.17 add [46, 2] (w:1, o:76, a:1, s:1, b:0),
% 281.74/282.17 proj1Add [47, 1] (w:1, o:44, a:1, s:1, b:0),
% 281.74/282.17 proj2Add [48, 1] (w:1, o:47, a:1, s:1, b:0),
% 281.74/282.17 mul [49, 2] (w:1, o:77, a:1, s:1, b:0),
% 281.74/282.17 proj1Mul [50, 1] (w:1, o:42, a:1, s:1, b:0),
% 281.74/282.17 proj2Mul [51, 1] (w:1, o:48, a:1, s:1, b:0),
% 281.74/282.17 eq [52, 2] (w:1, o:78, a:1, s:1, b:0),
% 281.74/282.17 proj1Eq [53, 1] (w:1, o:45, a:1, s:1, b:0),
% 281.74/282.17 proj2Eq [54, 1] (w:1, o:49, a:1, s:1, b:0),
% 281.74/282.17 v [55, 1] (w:1, o:50, a:1, s:1, b:0),
% 281.74/282.17 proj1V [56, 1] (w:1, o:46, a:1, s:1, b:0),
% 281.74/282.17 fail1 [61, 2] (w:1, o:80, a:1, s:1, b:0),
% 281.74/282.17 fail [64, 2] (w:1, o:81, a:1, s:1, b:0),
% 281.74/282.17 fail3 [67, 2] (w:1, o:85, a:1, s:1, b:0),
% 281.74/282.17 fail22 [70, 2] (w:1, o:83, a:1, s:1, b:0),
% 281.74/282.17 fail12 [72, 2] (w:1, o:82, a:1, s:1, b:0),
% 281.74/282.17 fail2 [74, 2] (w:1, o:84, a:1, s:1, b:0),
% 281.74/282.17 step4 [76, 1] (w:1, o:36, a:1, s:1, b:0),
% 281.74/282.17 simp4 [80, 1] (w:1, o:38, a:1, s:1, b:0),
% 281.74/282.17 fetch [82, 2] (w:1, o:86, a:1, s:1, b:0),
% 281.74/282.17 addNat [86, 2] (w:1, o:87, a:1, s:1, b:0),
% 281.74/282.17 mulNat [87, 2] (w:1, o:88, a:1, s:1, b:0),
% 281.74/282.17 eval [88, 2] (w:1, o:79, a:1, s:1, b:0).
% 281.74/282.17
% 281.74/282.17
% 281.74/282.17 Starting Search:
% 281.74/282.17
% 281.74/282.17 *** allocated 15000 integers for clauses
% 281.74/282.17 *** allocated 22500 integers for clauses
% 281.74/282.17 *** allocated 33750 integers for clauses
% 281.74/282.17 *** allocated 15000 integers for termspace/termends
% 281.74/282.17 *** allocated 50625 integers for clauses
% 281.74/282.17 *** allocated 75937 integers for clauses
% 281.74/282.17 *** allocated 22500 integers for termspace/termends
% 281.74/282.17 Resimplifying inuse:
% 281.74/282.17 Done
% 281.74/282.17
% 281.74/282.17 *** allocated 113905 integers for clauses
% 281.74/282.17 *** allocated 33750 integers for termspace/termends
% 281.74/282.17 *** allocated 170857 integers for clauses
% 281.74/282.17 *** allocated 50625 integers for termspace/termends
% 281.74/282.17
% 281.74/282.17 Intermediate Status:
% 281.74/282.17 Generated: 65471
% 281.74/282.17 Kept: 2004
% 281.74/282.17 Inuse: 338
% 281.74/282.17 Deleted: 10
% 281.74/282.17 Deletedinuse: 1
% 281.74/282.17
% 281.74/282.17 Resimplifying inuse:
% 281.74/282.17 Done
% 281.74/282.17
% 281.74/282.17 *** allocated 256285 integers for clauses
% 281.74/282.17 *** allocated 75937 integers for termspace/termends
% 281.74/282.17 Resimplifying inuse:
% 281.74/282.17 Done
% 281.74/282.17
% 281.74/282.17 *** allocated 384427 integers for clauses
% 281.74/282.17 *** allocated 113905 integers for termspace/termends
% 281.74/282.17
% 281.74/282.17 Intermediate Status:
% 281.74/282.17 Generated: 323148
% 281.74/282.17 Kept: 4769
% 281.74/282.17 Inuse: 621
% 281.74/282.17 Deleted: 31
% 281.74/282.17 Deletedinuse: 4
% 281.74/282.17
% 281.74/282.17 Resimplifying inuse:
% 281.74/282.17 Done
% 281.74/282.17
% 281.74/282.17 Resimplifying inuse:
% 281.74/282.17 Done
% 281.74/282.17
% 281.74/282.17
% 281.74/282.17 Intermediate Status:
% 281.74/282.17 Generated: 394684
% 281.74/282.17 Kept: 6784
% 281.74/282.17 Inuse: 694
% 281.74/282.17 Deleted: 43
% 281.74/282.17 Deletedinuse: 14
% 281.74/282.17
% 281.74/282.17 *** allocated 170857 integers for termspace/termends
% 281.74/282.17 *** allocated 576640 integers for clauses
% 281.74/282.17 Resimplifying inuse:
% 281.74/282.17 Done
% 281.74/282.17
% 281.74/282.17 Resimplifying inuse:
% 281.74/282.17 Done
% 281.74/282.17
% 281.74/282.17
% 281.74/282.17 Intermediate Status:
% 281.74/282.17 Generated: 490264
% 281.74/282.17 Kept: 8789
% 281.74/282.17 Inuse: 773
% 281.74/282.17 Deleted: 44
% 281.74/282.17 Deletedinuse: 14
% 281.74/282.17
% 281.74/282.17 Resimplifying inuse:
% 281.74/282.17 Done
% 281.74/282.17
% 281.74/282.17 Resimplifying inuse:
% 281.74/282.17 Done
% 281.74/282.17
% 281.74/282.17 *** allocated 256285 integers for termspace/termends
% 281.74/282.17
% 281.74/282.17 Intermediate Status:
% 281.74/282.17 Generated: 630785
% 281.74/282.17 Kept: 10820
% 281.74/282.17 Inuse: 858
% 281.74/282.17 Deleted: 51
% 281.74/282.17 Deletedinuse: 19
% 281.74/282.17
% 281.74/282.17 *** allocated 864960 integers for clauTerminated
% 299.64/300.03 Bliksem ended
%------------------------------------------------------------------------------