TSTP Solution File: GRP044-2 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : GRP044-2 : TPTP v5.0.0. Released v1.0.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Nov 27 20:46:48 EST 2010
% Result : Unsatisfiable 0.14s
% Output : Refutation 0.14s
% 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/SystemOnTPTP9892/GRP/GRP044-2+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 = 14] [nf = 0] [nu = 0] [ut = 6]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 226] [nf = 36] [nu = 100] [ut = 44]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~product_3(b_0(),c_0(),result_0())
% B2: product_3(identity_0(),x0,x0)
% B6: ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1)
% B8: ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5)
% Unit Clauses:
% --------------
% U2: < d0 v2 dv1 f0 c1 t3 td1 b > product_3(identity_0(),x0,x0)
% U4: < d0 v0 dv0 f0 c3 t3 td1 b > product_3(a_0(),c_0(),result_0())
% U5: < d0 v0 dv0 f0 c2 t2 td1 b > equalish_2(a_0(),b_0())
% U14: < d2 v0 dv0 f0 c3 t3 td1 > product_3(identity_0(),a_0(),b_0())
% U44: < d3 v0 dv0 f0 c3 t3 td1 > ~product_3(identity_0(),a_0(),b_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% product_3(identity_0(),x0,x0) ....... U2
% Derivation of unit clause U4:
% product_3(a_0(),c_0(),result_0()) ....... U4
% Derivation of unit clause U5:
% equalish_2(a_0(),b_0()) ....... U5
% Derivation of unit clause U14:
% product_3(identity_0(),x0,x0) ....... B2
% ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) ....... B6
% ~equalish_2(x0, x1) | product_3(identity_0(), x0, x1) ....... R1 [B2:L0, B6:L1]
% equalish_2(a_0(),b_0()) ....... U5
% product_3(identity_0(), a_0(), b_0()) ....... R2 [R1:L0, U5:L0]
% Derivation of unit clause U44:
% ~product_3(b_0(),c_0(),result_0()) ....... B0
% ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) ....... B8
% ~product_3(x0, x1, result_0()) | ~product_3(x2, c_0(), x1) | ~product_3(x0, x2, b_0()) ....... R1 [B0:L0, B8:L3]
% product_3(identity_0(),x0,x0) ....... U2
% ~product_3(x0, c_0(), result_0()) | ~product_3(identity_0(), x0, b_0()) ....... R2 [R1:L0, U2:L0]
% product_3(a_0(),c_0(),result_0()) ....... U4
% ~product_3(identity_0(), a_0(), b_0()) ....... R3 [R2:L0, U4:L0]
% Derivation of the empty clause:
% ~product_3(identity_0(),a_0(),b_0()) ....... U44
% product_3(identity_0(),a_0(),b_0()) ....... U14
% [] ....... R1 [U44:L0, U14:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 281
% resolvents: 238 factors: 43
% Number of unit clauses generated: 107
% % unit clauses generated to total clauses generated: 38.08
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 6 [2] = 38 [3] = 1
% Total = 45
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 107 [2] = 145 [3] = 29
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] equalish_2 (+)22 (-)1
% [1] product_3 (+)17 (-)5
% ------------------
% Total: (+)39 (-)6
% Total number of unit clauses retained: 45
% Number of clauses skipped because of their length: 76
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 286
% Number of unification failures: 237
% Number of unit to unit unification failures: 94
% N literal unification failure due to lookup root_id table: 61
% N base clause resolution failure due to lookup table: 7
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 8
% N unit clauses dropped because they exceeded max values: 62
% 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: 8
% Max term depth in a unit clause: 3
% Number of states in UCFA table: 104
% Total number of terms of all unit clauses in table: 202
% Max allowed number of states in UCFA: 80000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.51
% Number of symbols (columns) in UCFA: 43
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 523
% ConstructUnitClause() = 101
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.13 secs
%
%------------------------------------------------------------------------------