TSTP Solution File: SYN649-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN649-1 : TPTP v5.0.0. Released v2.5.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art03.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 11:05:08 EST 2010
% Result : Unsatisfiable 0.75s
% Output : Refutation 0.75s
% 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/SystemOnTPTP9822/SYN/SYN649-1+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 = 72] [nf = 0] [nu = 12] [ut = 21]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 910] [nf = 29] [nu = 362] [ut = 91]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p13_2(x0,x0)
% B11: p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0())
% B13: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x1)),x0),x2),x3) | p23_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c30_0(),x1),x2),x0),x3)),x3)
% B16: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x0),x1) | p23_2(f5_2(c24_0(),x0),f14_2(f22_2(c33_0(),x1),x0))
% B17: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x1),x0) | p23_2(f5_2(f7_2(f10_2(c26_0(),c28_0()),c24_0()),f14_2(f22_2(c33_0(),x0),x1)),x0)
% B18: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x0),c29_0()) | ~p23_2(f5_2(c24_0(),c25_0()),x0)
% B19: ~p23_2(f5_2(f7_2(f10_2(c26_0(),x0),x1),x2),x4) | ~p23_2(f5_2(x1,x4),x3) | p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x0)),x1),x2),x3)
% B43: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x0)),x1),x2),x3) | p23_2(f5_2(f7_2(f10_2(c26_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c30_0(),x0),x2),x1),x3))
% Unit Clauses:
% --------------
% U11: < d0 v0 dv0 f5 c7 t12 td6 b nc > p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0())
% U15: < d1 v0 dv0 f9 c11 t20 td6 > p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),c25_0()),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0()))
% U17: < d1 v0 dv0 f8 c10 t18 td8 > p23_2(f5_2(c24_0(),c25_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0()))
% U18: < d1 v0 dv0 f15 c17 t32 td9 > p23_2(f5_2(f7_2(f10_2(c26_0(),c28_0()),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0()))
% U19: < d1 v0 dv0 f11 c13 t24 td9 > ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),c29_0())
% U912: < d3 v0 dv0 f11 c13 t24 td9 > p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),c29_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U11:
% p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0()) ....... U11
% Derivation of unit clause U15:
% p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0()) ....... B11
% ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x0)),x1),x2),x3) | p23_2(f5_2(f7_2(f10_2(c26_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c30_0(),x0),x2),x1),x3)) ....... B43
% p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), c28_0())), c24_0()), c25_0()), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())) ....... R1 [B11:L0, B43:L0]
% Derivation of unit clause U17:
% ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x0),x1) | p23_2(f5_2(c24_0(),x0),f14_2(f22_2(c33_0(),x1),x0)) ....... B16
% p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),c25_0()),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())) ....... U15
% p23_2(f5_2(c24_0(), c25_0()), f14_2(f22_2(c33_0(), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())), c25_0())) ....... R1 [B16:L0, U15:L0]
% Derivation of unit clause U18:
% ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x1),x0) | p23_2(f5_2(f7_2(f10_2(c26_0(),c28_0()),c24_0()),f14_2(f22_2(c33_0(),x0),x1)),x0) ....... B17
% p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),c25_0()),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())) ....... U15
% p23_2(f5_2(f7_2(f10_2(c26_0(), c28_0()), c24_0()), f14_2(f22_2(c33_0(), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())), c25_0())), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())) ....... R1 [B17:L0, U15:L0]
% Derivation of unit clause U19:
% ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x0),c29_0()) | ~p23_2(f5_2(c24_0(),c25_0()),x0) ....... B18
% p23_2(f5_2(c24_0(),c25_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())) ....... U17
% ~p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), c28_0())), c24_0()), f14_2(f22_2(c33_0(), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())), c25_0())), c29_0()) ....... R1 [B18:L1, U17:L0]
% Derivation of unit clause U912:
% ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x1)),x0),x2),x3) | p23_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c30_0(),x1),x2),x0),x3)),x3) ....... B13
% ~p23_2(f5_2(f7_2(f10_2(c26_0(),x0),x1),x2),x4) | ~p23_2(f5_2(x1,x4),x3) | p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x0)),x1),x2),x3) ....... B19
% ~p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), x0)), x1), x2), x3) | ~p23_2(f5_2(f7_2(f10_2(c26_0(), x4), x1), x5), f14_2(f16_2(f18_2(f20_2(c30_0(), x0), x2), x1), x3)) | p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), x4)), x1), x5), x3) ....... R1 [B13:L1, B19:L1]
% p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0()) ....... U11
% ~p23_2(f5_2(f7_2(f10_2(c26_0(), x0), c24_0()), x1), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())) | p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), x0)), c24_0()), x1), c29_0()) ....... R2 [R1:L0, U11:L0]
% p23_2(f5_2(f7_2(f10_2(c26_0(),c28_0()),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())) ....... U18
% p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), c28_0())), c24_0()), f14_2(f22_2(c33_0(), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())), c25_0())), c29_0()) ....... R3 [R2:L0, U18:L0]
% Derivation of the empty clause:
% p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),c29_0()) ....... U912
% ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),c29_0()) ....... U19
% [] ....... R1 [U912:L0, U19:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 20103
% resolvents: 19933 factors: 170
% Number of unit clauses generated: 14965
% % unit clauses generated to total clauses generated: 74.44
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 13 [1] = 8 [2] = 70 [3] = 822
% Total = 913
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 14965 [2] = 4798 [3] = 340
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p11_2 (+)1 (-)0
% [1] p13_2 (+)23 (-)0
% [2] p15_2 (+)17 (-)0
% [3] p17_2 (+)2 (-)0
% [4] p19_2 (+)1 (-)0
% [5] p21_2 (+)1 (-)0
% [6] p23_2 (+)780 (-)1
% [7] p2_2 (+)8 (-)0
% [8] p3_2 (+)46 (-)0
% [9] p4_2 (+)17 (-)5
% [10] p6_2 (+)2 (-)0
% [11] p8_2 (+)1 (-)0
% [12] p9_2 (+)8 (-)0
% ------------------
% Total: (+)907 (-)6
% Total number of unit clauses retained: 913
% Number of clauses skipped because of their length: 25303
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 20110
% Number of unification failures: 316085
% Number of unit to unit unification failures: 864
% N literal unification failure due to lookup root_id table: 43658
% N base clause resolution failure due to lookup table: 4190
% N UC-BCL resolution dropped due to lookup table: 35651
% Max entries in substitution set: 13
% N unit clauses dropped because they exceeded max values: 13634
% N unit clauses dropped because too much nesting: 0
% 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: 64
% Max term depth in a unit clause: 11
% Number of states in UCFA table: 16473
% Total number of terms of all unit clauses in table: 35900
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.03
% Ratio n states used/total unit clauses terms: 0.46
% Number of symbols (columns) in UCFA: 66
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 336195
% ConstructUnitClause() = 14534
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.08 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.73 secs
%
%------------------------------------------------------------------------------