TSTP Solution File: GRP006-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : GRP006-1 : TPTP v5.0.0. Released v1.0.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art04.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 20:39:40 EST 2010
% Result : Unsatisfiable 0.71s
% Output : Refutation 0.71s
% 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/SystemOnTPTP32657/GRP/GRP006-1+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 = 0] [nf = 0] [nu = 0] [ut = 6]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 30] [nf = 42] [nu = 0] [ut = 6]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~an_element_1(inverse_1(the_element_0()))
% B3: product_3(x0,inverse_1(x0),identity_0())
% B8: ~an_element_1(x1) | ~an_element_1(x0) | ~product_3(x0,inverse_1(x1),x2) | an_element_1(x2)
% Unit Clauses:
% --------------
% U2: < d0 v2 dv1 f0 c1 t3 td1 b > product_3(identity_0(),x0,x0)
% U5: < d0 v0 dv0 f0 c1 t1 td1 b > an_element_1(the_element_0())
% U7: < d3 v0 dv0 f0 c1 t1 td1 > ~an_element_1(identity_0())
% U341: < d3 v0 dv0 f0 c1 t1 td1 > an_element_1(identity_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% product_3(identity_0(),x0,x0) ....... U2
% Derivation of unit clause U5:
% an_element_1(the_element_0()) ....... U5
% Derivation of unit clause U7:
% ~an_element_1(inverse_1(the_element_0())) ....... B0
% ~an_element_1(x1) | ~an_element_1(x0) | ~product_3(x0,inverse_1(x1),x2) | an_element_1(x2) ....... B8
% ~an_element_1(x0) | ~an_element_1(x1) | ~product_3(x1, inverse_1(x0), inverse_1(the_element_0())) ....... R1 [B0:L0, B8:L3]
% an_element_1(the_element_0()) ....... U5
% ~an_element_1(x0) | ~product_3(x0, inverse_1(the_element_0()), inverse_1(the_element_0())) ....... R2 [R1:L0, U5:L0]
% product_3(identity_0(),x0,x0) ....... U2
% ~an_element_1(identity_0()) ....... R3 [R2:L1, U2:L0]
% Derivation of unit clause U341:
% product_3(x0,inverse_1(x0),identity_0()) ....... B3
% ~an_element_1(x1) | ~an_element_1(x0) | ~product_3(x0,inverse_1(x1),x2) | an_element_1(x2) ....... B8
% ~an_element_1(x0) | ~an_element_1(x0) | an_element_1(identity_0()) ....... R1 [B3:L0, B8:L2]
% ~an_element_1(x0) | an_element_1(identity_0()) ....... R2 [R1:L1, R1:L0]
% an_element_1(the_element_0()) ....... U5
% an_element_1(identity_0()) ....... R3 [R2:L0, U5:L0]
% Derivation of the empty clause:
% an_element_1(identity_0()) ....... U341
% ~an_element_1(identity_0()) ....... U7
% [] ....... R1 [U341:L0, U7:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 139149
% resolvents: 139072 factors: 77
% Number of unit clauses generated: 135040
% % unit clauses generated to total clauses generated: 97.05
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 6 [3] = 336
% Total = 342
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 135040 [2] = 4058 [3] = 51
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] an_element_1 (+)2 (-)2
% [1] product_3 (+)110 (-)228
% ------------------
% Total: (+)112 (-)230
% Total number of unit clauses retained: 342
% Number of clauses skipped because of their length: 48
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 139155
% Number of unification failures: 787133
% Number of unit to unit unification failures: 25083
% N literal unification failure due to lookup root_id table: 41
% N base clause resolution failure due to lookup table: 8
% 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: 134704
% N unit clauses dropped because too much nesting: 24566
% 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: 492
% Total number of terms of all unit clauses in table: 2190
% Max allowed number of states in UCFA: 80000
% Ratio n states used/total allowed states: 0.01
% Ratio n states used/total unit clauses terms: 0.22
% Number of symbols (columns) in UCFA: 39
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 926288
% ConstructUnitClause() = 135040
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.21 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.71 secs
%
%------------------------------------------------------------------------------