TSTP Solution File: SYN656-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN656-1 : TPTP v5.0.0. Released v2.5.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art07.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 11:06:35 EST 2010
% Result : Unsatisfiable 0.56s
% Output : Refutation 0.56s
% 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/SystemOnTPTP4358/SYN/SYN656-1+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 = 1 secs [nr = 93] [nf = 0] [nu = 34] [ut = 30]
% Looking for a proof at depth = 2 ...
% t = 1 secs [nr = 1792] [nf = 28] [nu = 924] [ut = 194]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p12_2(x0,x0)
% B7: p3_2(x0,x0)
% B8: p4_2(x0,x0)
% B14: p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0))
% B16: ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0()))
% B18: ~p25_2(f5_2(x0,x1),x2) | p25_2(f5_2(f7_2(c28_0(),x0),x1),x2)
% B30: ~p25_2(f5_2(f7_2(c28_0(),x0),x3),x2) | ~p25_2(f5_2(x0,x1),x3) | p25_2(f5_2(f7_2(c28_0(),x0),x1),x2)
% B39: ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1)
% B47: ~p25_2(x3,x2) | ~p3_2(x2,x1) | ~p4_2(x3,x0) | p25_2(x0,x1)
% Unit Clauses:
% --------------
% U14: < d0 v2 dv1 f4 c4 t10 td4 b nc > p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0))
% U16: < d0 v0 dv0 f7 c9 t16 td6 b nc > ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0()))
% U20: < d1 v0 dv0 f6 c8 t14 td6 > ~p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0()))
% U137: < d2 v0 dv0 f6 c8 t14 td5 > ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0()))),f13_2(c31_0(),c34_0()))
% U197: < d3 v0 dv0 f4 c6 t10 td4 > p3_2(f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())),f13_2(c31_0(),c34_0()))
% U769: < d3 v0 dv0 f6 c8 t14 td6 > p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U14:
% p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0)) ....... U14
% Derivation of unit clause U16:
% ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... U16
% Derivation of unit clause U20:
% ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... B16
% ~p25_2(f5_2(x0,x1),x2) | p25_2(f5_2(f7_2(c28_0(),x0),x1),x2) ....... B18
% ~p25_2(f5_2(c29_0(), f13_2(c31_0(), f15_2(c32_0(), f15_2(f17_2(c33_0(), c34_0()), c35_0())))), f13_2(c31_0(), c34_0())) ....... R1 [B16:L0, B18:L1]
% Derivation of unit clause U137:
% p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0)) ....... B14
% ~p25_2(f5_2(f7_2(c28_0(),x0),x3),x2) | ~p25_2(f5_2(x0,x1),x3) | p25_2(f5_2(f7_2(c28_0(),x0),x1),x2) ....... B30
% ~p25_2(f5_2(f7_2(c28_0(), c29_0()), f13_2(c31_0(), x0)), x1) | p25_2(f5_2(f7_2(c28_0(), c29_0()), f13_2(c31_0(), f15_2(c32_0(), x0))), x1) ....... R1 [B14:L0, B30:L1]
% ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... U16
% ~p25_2(f5_2(f7_2(c28_0(), c29_0()), f13_2(c31_0(), f15_2(f17_2(c33_0(), c34_0()), c35_0()))), f13_2(c31_0(), c34_0())) ....... R2 [R1:L1, U16:L0]
% Derivation of unit clause U197:
% p3_2(x0,x0) ....... B7
% ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B39
% ~p3_2(x0, x1) | p3_2(x1, x0) ....... R1 [B7:L0, B39:L0]
% p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),x0))),f13_2(c31_0(),c34_0())) | p3_2(f13_2(c31_0(),c34_0()),f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),x0))) ....... B48
% p3_2(f13_2(c31_0(), f15_2(f17_2(c33_0(), c34_0()), x0)), f13_2(c31_0(), c34_0())) | p25_2(f5_2(f7_2(c28_0(), c29_0()), f13_2(c31_0(), f15_2(f17_2(c33_0(), c34_0()), x0))), f13_2(c31_0(), c34_0())) ....... R2 [R1:L0, B48:L1]
% ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0()))),f13_2(c31_0(),c34_0())) ....... U137
% p3_2(f13_2(c31_0(), f15_2(f17_2(c33_0(), c34_0()), c35_0())), f13_2(c31_0(), c34_0())) ....... R3 [R2:L1, U137:L0]
% Derivation of unit clause U769:
% p4_2(x0,x0) ....... B8
% ~p25_2(x3,x2) | ~p3_2(x2,x1) | ~p4_2(x3,x0) | p25_2(x0,x1) ....... B47
% ~p25_2(x0, x1) | ~p3_2(x1, x2) | p25_2(x0, x2) ....... R1 [B8:L0, B47:L2]
% p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0)) ....... U14
% ~p3_2(f13_2(c31_0(), x0), x1) | p25_2(f5_2(c29_0(), f13_2(c31_0(), f15_2(c32_0(), x0))), x1) ....... R2 [R1:L0, U14:L0]
% p3_2(f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())),f13_2(c31_0(),c34_0())) ....... U197
% p25_2(f5_2(c29_0(), f13_2(c31_0(), f15_2(c32_0(), f15_2(f17_2(c33_0(), c34_0()), c35_0())))), f13_2(c31_0(), c34_0())) ....... R3 [R2:L0, U197:L0]
% Derivation of the empty clause:
% p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... U769
% ~p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... U20
% [] ....... R1 [U769:L0, U20:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 8247
% resolvents: 8112 factors: 135
% Number of unit clauses generated: 6490
% % unit clauses generated to total clauses generated: 78.70
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 18 [1] = 12 [2] = 164 [3] = 576
% Total = 770
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 6490 [2] = 1522 [3] = 235
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p11_2 (+)1 (-)0
% [1] p12_2 (+)8 (-)0
% [2] p14_2 (+)8 (-)0
% [3] p16_2 (+)1 (-)0
% [4] p18_2 (+)16 (-)0
% [5] p20_2 (+)2 (-)0
% [6] p22_2 (+)1 (-)0
% [7] p24_2 (+)2 (-)0
% [8] p25_2 (+)58 (-)57
% [9] p2_2 (+)8 (-)0
% [10] p3_2 (+)35 (-)0
% [11] p4_2 (+)16 (-)532
% [12] p6_2 (+)1 (-)0
% [13] p8_2 (+)1 (-)0
% [14] p9_2 (+)23 (-)0
% ------------------
% Total: (+)181 (-)589
% Total number of unit clauses retained: 770
% Number of clauses skipped because of their length: 6168
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 8256
% Number of unification failures: 3907
% Number of unit to unit unification failures: 11764
% N literal unification failure due to lookup root_id table: 2908
% N base clause resolution failure due to lookup table: 2512
% N UC-BCL resolution dropped due to lookup table: 8
% Max entries in substitution set: 12
% N unit clauses dropped because they exceeded max values: 4269
% N unit clauses dropped because too much nesting: 1406
% 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: 54
% Max term depth in a unit clause: 12
% Number of states in UCFA table: 5822
% Total number of terms of all unit clauses in table: 22330
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.01
% Ratio n states used/total unit clauses terms: 0.26
% Number of symbols (columns) in UCFA: 69
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 12163
% ConstructUnitClause() = 5021
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.02 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.54 secs
%
%------------------------------------------------------------------------------