TSTP Solution File: FLD055-3 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : FLD055-3 : TPTP v5.0.0. Bugfixed v2.1.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art05.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 : Sat Nov 27 19:08:09 EST 2010
% Result : Unsatisfiable 0.80s
% Output : Refutation 0.80s
% 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/SystemOnTPTP26877/FLD/FLD055-3+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 = 181] [nf = 0] [nu = 113] [ut = 73]
% Looking for a proof at depth = 2 ...
% t = 1 secs [nr = 349421] [nf = 70] [nu = 270653] [ut = 8239]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: sum_3(additive_identity_0(),b_0(),c_0())
% B1: less_or_equal_2(a_0(),b_0())
% B5: defined_1(a_0())
% B10: ~sum_3(x1,x0,x2) | sum_3(x0,x1,x2)
% B12: ~defined_1(x0) | sum_3(additive_identity_0(),x0,x0)
% B27: ~less_or_equal_2(x2,x3) | ~sum_3(x3,x4,x1) | ~sum_3(x2,x4,x0) | less_or_equal_2(x0,x1)
% Unit Clauses:
% --------------
% U2: < d0 v0 dv0 f0 c2 t2 td1 b nc > ~less_or_equal_2(a_0(),c_0())
% U9: < d1 v0 dv0 f0 c3 t3 td1 > sum_3(b_0(),additive_identity_0(),c_0())
% U19: < d1 v0 dv0 f0 c3 t3 td1 > sum_3(additive_identity_0(),a_0(),a_0())
% U37: < d1 v0 dv0 f0 c3 t3 td1 > sum_3(a_0(),additive_identity_0(),a_0())
% U8377: < d3 v0 dv0 f0 c2 t2 td1 > less_or_equal_2(a_0(),c_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% ~less_or_equal_2(a_0(),c_0()) ....... U2
% Derivation of unit clause U9:
% sum_3(additive_identity_0(),b_0(),c_0()) ....... B0
% ~sum_3(x1,x0,x2) | sum_3(x0,x1,x2) ....... B10
% sum_3(b_0(), additive_identity_0(), c_0()) ....... R1 [B0:L0, B10:L0]
% Derivation of unit clause U19:
% defined_1(a_0()) ....... B5
% ~defined_1(x0) | sum_3(additive_identity_0(),x0,x0) ....... B12
% sum_3(additive_identity_0(), a_0(), a_0()) ....... R1 [B5:L0, B12:L0]
% Derivation of unit clause U37:
% ~sum_3(x1,x0,x2) | sum_3(x0,x1,x2) ....... B10
% sum_3(additive_identity_0(),a_0(),a_0()) ....... U19
% sum_3(a_0(), additive_identity_0(), a_0()) ....... R1 [B10:L0, U19:L0]
% Derivation of unit clause U8377:
% less_or_equal_2(a_0(),b_0()) ....... B1
% ~less_or_equal_2(x2,x3) | ~sum_3(x3,x4,x1) | ~sum_3(x2,x4,x0) | less_or_equal_2(x0,x1) ....... B27
% ~sum_3(b_0(), x0, x1) | ~sum_3(a_0(), x0, x2) | less_or_equal_2(x2, x1) ....... R1 [B1:L0, B27:L0]
% sum_3(b_0(),additive_identity_0(),c_0()) ....... U9
% ~sum_3(a_0(), additive_identity_0(), x0) | less_or_equal_2(x0, c_0()) ....... R2 [R1:L0, U9:L0]
% sum_3(a_0(),additive_identity_0(),a_0()) ....... U37
% less_or_equal_2(a_0(), c_0()) ....... R3 [R2:L0, U37:L0]
% Derivation of the empty clause:
% less_or_equal_2(a_0(),c_0()) ....... U8377
% ~less_or_equal_2(a_0(),c_0()) ....... U2
% [] ....... R1 [U8377:L0, U2:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 351499
% resolvents: 351409 factors: 90
% Number of unit clauses generated: 271072
% % unit clauses generated to total clauses generated: 77.12
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 9 [1] = 64 [2] = 8166 [3] = 139
% Total = 8378
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 271072 [2] = 80315 [3] = 112
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] defined_1 (+)7845 (-)0
% [1] less_or_equal_2 (+)2 (-)3
% [2] product_3 (+)154 (-)0
% [3] sum_3 (+)372 (-)2
% ------------------
% Total: (+)8373 (-)5
% Total number of unit clauses retained: 8378
% Number of clauses skipped because of their length: 5038
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 351505
% Number of unification failures: 140846
% Number of unit to unit unification failures: 747
% N literal unification failure due to lookup root_id table: 5586
% N base clause resolution failure due to lookup table: 2220
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 9
% N unit clauses dropped because they exceeded max values: 231728
% N unit clauses dropped because too much nesting: 107664
% 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: 8
% Max term depth in a unit clause: 4
% Number of states in UCFA table: 5544
% Total number of terms of all unit clauses in table: 54970
% Max allowed number of states in UCFA: 80000
% Ratio n states used/total allowed states: 0.07
% Ratio n states used/total unit clauses terms: 0.10
% Number of symbols (columns) in UCFA: 47
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 492351
% ConstructUnitClause() = 240097
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.32 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.81 secs
%
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