TSTP Solution File: SYN575-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN575-1 : TPTP v5.0.0. Released v2.5.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Nov 28 10:29:44 EST 2010
% Result : Unsatisfiable 121.09s
% Output : Refutation 121.09s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Command entered:
% /home/graph/tptp/Systems/CARINE---0.734/carine /tmp/SystemOnTPTP25106/SYN/SYN575-1+noeq.car t=300 xo=off uct=32000
% CARINE version 0.734 (Dec 2003)
% Initializing tables ... done.
% Parsing ...................... done.
% Calculating time slices ... done.
% Building Lookup Tables ... done.
% Looking for a proof at depth = 1 ...
% t = 0 secs [nr = 43] [nf = 0] [nu = 21] [ut = 21]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 553] [nf = 16] [nu = 306] [ut = 54]
% Looking for a proof at depth = 3 ...
% t = 0 secs [nr = 3840] [nf = 138] [nu = 2341] [ut = 65]
% Looking for a proof at depth = 4 ...
% t = 0 secs [nr = 69047] [nf = 1082] [nu = 55737] [ut = 78]
% Looking for a proof at depth = 5 ...
% t = 1 secs [nr = 446990] [nf = 16482] [nu = 335898] [ut = 95]
% Looking for a proof at depth = 6 ...
% t = 24 secs [nr = 8185087] [nf = 121317] [nu = 6789391] [ut = 95]
% Looking for a proof at depth = 7 ...
% Entering time slice 2
% Updating parameters ... done.
% Looking for a proof at depth = 1 ...
% t = 123 secs [nr = 45838445] [nf = 1371459] [nu = 35914943] [ut = 95]
% Looking for a proof at depth = 2 ...
% t = 123 secs [nr = 45839187] [nf = 1371475] [nu = 35915410] [ut = 95]
% Looking for a proof at depth = 3 ...
% t = 123 secs [nr = 45843620] [nf = 1371653] [nu = 35918276] [ut = 95]
% Looking for a proof at depth = 4 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p10_2(x0,x0)
% B1: p3_2(x0,x0)
% B2: p7_2(x0,x0)
% B5: p11_2(c14_0(),c15_0())
% B6: p9_2(c12_0(),c13_0())
% B11: ~p9_2(x0,c13_0()) | p9_2(x0,f6_1(c14_0()))
% B16: ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1)
% B19: ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p9_2(x2,x3) | p9_2(x0,x1)
% B20: ~p11_2(x2,c15_0()) | ~p2_2(x1,f5_1(x2)) | ~p9_2(c12_0(),x0) | p9_2(f8_2(x0,x1),x0) | p9_2(f8_2(x0,x1),f6_1(x1))
% B21: ~p11_2(x0,c15_0()) | ~p2_2(x2,f5_1(x0)) | ~p9_2(f8_2(x1,x2),f6_1(x2)) | ~p9_2(f8_2(x1,x2),x1) | ~p9_2(c12_0(),x1)
% Unit Clauses:
% --------------
% U4: < d0 v2 dv1 f3 c0 t5 td3 b nc > p3_2(f6_1(f5_1(x0)),f6_1(x0))
% U5: < d0 v0 dv0 f0 c2 t2 td1 b nc > p11_2(c14_0(),c15_0())
% U7: < d0 v2 dv1 f0 c0 t2 td1 b nc > p2_2(x0,x0)
% U8: < d1 v0 dv0 f1 c2 t3 td2 > p9_2(c12_0(),f6_1(c14_0()))
% U25: < d2 v2 dv1 f3 c0 t5 td3 > p3_2(f6_1(x0),f6_1(f5_1(x0)))
% U54: < d3 v0 dv0 f2 c2 t4 td3 > p9_2(c12_0(),f6_1(f5_1(c14_0())))
% U77: < d4 v0 dv0 f6 c3 t9 td4 > ~p9_2(f8_2(f6_1(f5_1(c14_0())),f5_1(c14_0())),f6_1(f5_1(c14_0())))
% U83: < d5 v0 dv0 f5 c3 t8 td3 > ~p9_2(f8_2(f6_1(c14_0()),f5_1(c14_0())),f6_1(f5_1(c14_0())))
% U88: < d5 v0 dv0 f4 c3 t7 td3 > ~p9_2(f8_2(f6_1(c14_0()),f5_1(c14_0())),f6_1(c14_0()))
% U95: < d4 v0 dv0 f5 c3 t8 td3 > p9_2(f8_2(f6_1(c14_0()),f5_1(c14_0())),f6_1(f5_1(c14_0())))
% --------------- Start of Proof ---------------
% Derivation of unit clause U4:
% p3_2(f6_1(f5_1(x0)),f6_1(x0)) ....... U4
% Derivation of unit clause U5:
% p11_2(c14_0(),c15_0()) ....... U5
% Derivation of unit clause U7:
% p2_2(x0,x0) ....... U7
% Derivation of unit clause U8:
% p9_2(c12_0(),c13_0()) ....... B6
% ~p9_2(x0,c13_0()) | p9_2(x0,f6_1(c14_0())) ....... B11
% p9_2(c12_0(), f6_1(c14_0())) ....... R1 [B6:L0, B11:L0]
% Derivation of unit clause U25:
% p3_2(x0,x0) ....... B1
% ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B16
% ~p3_2(x0, x1) | p3_2(x1, x0) ....... R1 [B1:L0, B16:L0]
% p3_2(f6_1(f5_1(x0)),f6_1(x0)) ....... U4
% p3_2(f6_1(x0), f6_1(f5_1(x0))) ....... R2 [R1:L0, U4:L0]
% Derivation of unit clause U54:
% p7_2(x0,x0) ....... B2
% ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p9_2(x2,x3) | p9_2(x0,x1) ....... B19
% ~p3_2(x0, x1) | ~p9_2(x2, x0) | p9_2(x2, x1) ....... R1 [B2:L0, B19:L1]
% p3_2(f6_1(x0),f6_1(f5_1(x0))) ....... U25
% ~p9_2(x0, f6_1(x1)) | p9_2(x0, f6_1(f5_1(x1))) ....... R2 [R1:L0, U25:L0]
% p9_2(c12_0(),f6_1(c14_0())) ....... U8
% p9_2(c12_0(), f6_1(f5_1(c14_0()))) ....... R3 [R2:L0, U8:L0]
% Derivation of unit clause U77:
% ~p11_2(x0,c15_0()) | ~p2_2(x2,f5_1(x0)) | ~p9_2(f8_2(x1,x2),f6_1(x2)) | ~p9_2(f8_2(x1,x2),x1) | ~p9_2(c12_0(),x1) ....... B21
% ~p11_2(x0, c15_0()) | ~p2_2(x1, f5_1(x0)) | ~p9_2(f8_2(f6_1(x1), x1), f6_1(x1)) | ~p9_2(c12_0(), f6_1(x1)) ....... R1 [B21:L2, B21:L3]
% p11_2(c14_0(),c15_0()) ....... U5
% ~p2_2(x0, f5_1(c14_0())) | ~p9_2(f8_2(f6_1(x0), x0), f6_1(x0)) | ~p9_2(c12_0(), f6_1(x0)) ....... R2 [R1:L0, U5:L0]
% p2_2(x0,x0) ....... U7
% ~p9_2(f8_2(f6_1(f5_1(c14_0())), f5_1(c14_0())), f6_1(f5_1(c14_0()))) | ~p9_2(c12_0(), f6_1(f5_1(c14_0()))) ....... R3 [R2:L0, U7:L0]
% p9_2(c12_0(),f6_1(f5_1(c14_0()))) ....... U54
% ~p9_2(f8_2(f6_1(f5_1(c14_0())), f5_1(c14_0())), f6_1(f5_1(c14_0()))) ....... R4 [R3:L1, U54:L0]
% Derivation of unit clause U83:
% p3_2(x0,x0) ....... B1
% ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p9_2(x2,x3) | p9_2(x0,x1) ....... B19
% ~p7_2(x0, x1) | ~p9_2(x0, x2) | p9_2(x1, x2) ....... R1 [B1:L0, B19:L0]
% ~p9_2(f8_2(f6_1(f5_1(c14_0())),f5_1(c14_0())),f6_1(f5_1(c14_0()))) ....... U77
% ~p7_2(x0, f8_2(f6_1(f5_1(c14_0())), f5_1(c14_0()))) | ~p9_2(x0, f6_1(f5_1(c14_0()))) ....... R2 [R1:L2, U77:L0]
% ~p2_2(x1,x3) | ~p3_2(x0,x2) | p7_2(f8_2(x0,x1),f8_2(x2,x3)) ....... B13
% ~p9_2(f8_2(x0, x1), f6_1(f5_1(c14_0()))) | ~p2_2(x1, f5_1(c14_0())) | ~p3_2(x0, f6_1(f5_1(c14_0()))) ....... R3 [R2:L0, B13:L2]
% p2_2(x0,x0) ....... U7
% ~p9_2(f8_2(x0, f5_1(c14_0())), f6_1(f5_1(c14_0()))) | ~p3_2(x0, f6_1(f5_1(c14_0()))) ....... R4 [R3:L1, U7:L0]
% p3_2(f6_1(x0),f6_1(f5_1(x0))) ....... U25
% ~p9_2(f8_2(f6_1(c14_0()), f5_1(c14_0())), f6_1(f5_1(c14_0()))) ....... R5 [R4:L1, U25:L0]
% Derivation of unit clause U88:
% p7_2(x0,x0) ....... B2
% ~p3_2(x3,x1) | ~p7_2(x2,x0) | ~p9_2(x2,x3) | p9_2(x0,x1) ....... B19
% ~p3_2(x0, x1) | ~p9_2(x2, x0) | p9_2(x2, x1) ....... R1 [B2:L0, B19:L1]
% p3_2(f6_1(x0),f6_1(f5_1(x0))) ....... U25
% ~p9_2(x0, f6_1(x1)) | p9_2(x0, f6_1(f5_1(x1))) ....... R2 [R1:L0, U25:L0]
% ~p9_2(x0,c13_0()) | p9_2(x0,f6_1(c14_0())) ....... B11
% p9_2(x0, f6_1(f5_1(c14_0()))) | ~p9_2(x0, c13_0()) ....... R3 [R2:L0, B11:L1]
% ~p9_2(x0,f6_1(c14_0())) | p9_2(x0,c13_0()) ....... B12
% p9_2(x0, f6_1(f5_1(c14_0()))) | ~p9_2(x0, f6_1(c14_0())) ....... R4 [R3:L1, B12:L1]
% ~p9_2(f8_2(f6_1(c14_0()),f5_1(c14_0())),f6_1(f5_1(c14_0()))) ....... U83
% ~p9_2(f8_2(f6_1(c14_0()), f5_1(c14_0())), f6_1(c14_0())) ....... R5 [R4:L0, U83:L0]
% Derivation of unit clause U95:
% p11_2(c14_0(),c15_0()) ....... B5
% ~p11_2(x2,c15_0()) | ~p2_2(x1,f5_1(x2)) | ~p9_2(c12_0(),x0) | p9_2(f8_2(x0,x1),x0) | p9_2(f8_2(x0,x1),f6_1(x1)) ....... B20
% ~p2_2(x0, f5_1(c14_0())) | ~p9_2(c12_0(), x1) | p9_2(f8_2(x1, x0), x1) | p9_2(f8_2(x1, x0), f6_1(x0)) ....... R1 [B5:L0, B20:L0]
% p2_2(x0,x0) ....... U7
% ~p9_2(c12_0(), x0) | p9_2(f8_2(x0, f5_1(c14_0())), x0) | p9_2(f8_2(x0, f5_1(c14_0())), f6_1(f5_1(c14_0()))) ....... R2 [R1:L0, U7:L0]
% p9_2(c12_0(),f6_1(c14_0())) ....... U8
% p9_2(f8_2(f6_1(c14_0()), f5_1(c14_0())), f6_1(c14_0())) | p9_2(f8_2(f6_1(c14_0()), f5_1(c14_0())), f6_1(f5_1(c14_0()))) ....... R3 [R2:L0, U8:L0]
% ~p9_2(f8_2(f6_1(c14_0()),f5_1(c14_0())),f6_1(c14_0())) ....... U88
% p9_2(f8_2(f6_1(c14_0()), f5_1(c14_0())), f6_1(f5_1(c14_0()))) ....... R4 [R3:L0, U88:L0]
% Derivation of the empty clause:
% p9_2(f8_2(f6_1(c14_0()),f5_1(c14_0())),f6_1(f5_1(c14_0()))) ....... U95
% ~p9_2(f8_2(f6_1(c14_0()),f5_1(c14_0())),f6_1(f5_1(c14_0()))) ....... U83
% [] ....... R1 [U95:L0, U83:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 47248011
% resolvents: 45876162 factors: 1371849
% Number of unit clauses generated: 35945894
% % unit clauses generated to total clauses generated: 76.08
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 8 [1] = 13 [2] = 33 [3] = 11
% [4] = 14 [5] = 17
% Total = 96
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 35945894 [2] = 9109983 [3] = 2191994 [4] = 138 [5] = 2
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p10_2 (+)1 (-)0
% [1] p11_2 (+)1 (-)0
% [2] p2_2 (+)5 (-)0
% [3] p3_2 (+)33 (-)0
% [4] p7_2 (+)32 (-)6
% [5] p9_2 (+)6 (-)12
% ------------------
% Total: (+)78 (-)18
% Total number of unit clauses retained: 96
% Number of clauses skipped because of their length: 20513899
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 47248035
% Number of unification failures: 55092220
% Number of unit to unit unification failures: 254
% N literal unification failure due to lookup root_id table: 31662606
% N base clause resolution failure due to lookup table: 27573435
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 17
% N unit clauses dropped because they exceeded max values: 31090652
% N unit clauses dropped because too much nesting: 18466375
% N unit clauses not constrcuted because table was full: 0
% N unit clauses dropped because UCFA table was full: 0
% Max number of terms in a unit clause: 10
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 262
% Total number of terms of all unit clauses in table: 721
% Max allowed number of states in UCFA: 96000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.36
% Number of symbols (columns) in UCFA: 48
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 102340255
% ConstructUnitClause() = 31090740
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 39.59 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 390479
% | |
% --------------------------------------------------------
% Elapsed time: 123 secs
% CPU time: 121.10 secs
%
%------------------------------------------------------------------------------