TSTP Solution File: FLD027-3 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : FLD027-3 : TPTP v5.0.0. Bugfixed v2.1.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art09.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 18:28:27 EST 2010
% Result : Unsatisfiable 0.52s
% Output : Refutation 0.52s
% 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/SystemOnTPTP23949/FLD/FLD027-3+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 = 0 secs [nr = 159] [nf = 0] [nu = 100] [ut = 63]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 165182] [nf = 86] [nu = 125994] [ut = 4205]
% 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(),a_0(),additive_identity_0())
% B1: ~sum_3(additive_identity_0(),b_0(),additive_identity_0())
% B2: product_3(multiplicative_identity_0(),multiplicative_inverse_1(a_0()),multiplicative_inverse_1(b_0()))
% B3: ~product_3(multiplicative_identity_0(),a_0(),b_0())
% B7: defined_1(b_0())
% B9: ~product_3(x1,x0,x2) | product_3(x0,x1,x2)
% B11: ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0)
% B22: ~defined_1(x0) | product_3(multiplicative_inverse_1(x0),x0,multiplicative_identity_0()) | sum_3(additive_identity_0(),x0,additive_identity_0())
% B23: ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2)
% Unit Clauses:
% --------------
% U6: < d0 v0 dv0 f0 c1 t1 td1 b > defined_1(a_0())
% U7: < d0 v0 dv0 f0 c1 t1 td1 b > defined_1(b_0())
% U25: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),b_0(),b_0())
% U31: < d1 v0 dv0 f0 c3 t3 td1 > product_3(b_0(),multiplicative_identity_0(),b_0())
% U64: < d2 v0 dv0 f1 c3 t4 td2 > product_3(multiplicative_inverse_1(a_0()),a_0(),multiplicative_identity_0())
% U4295: < d3 v0 dv0 f1 c3 t4 td2 > product_3(b_0(),multiplicative_inverse_1(b_0()),multiplicative_identity_0())
% U4387: < d3 v0 dv0 f1 c3 t4 td2 > product_3(b_0(),multiplicative_inverse_1(a_0()),multiplicative_identity_0())
% U4420: < d3 v0 dv0 f1 c3 t4 td2 > ~product_3(b_0(),multiplicative_inverse_1(a_0()),multiplicative_identity_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U6:
% defined_1(a_0()) ....... U6
% Derivation of unit clause U7:
% defined_1(b_0()) ....... U7
% Derivation of unit clause U25:
% defined_1(b_0()) ....... B7
% ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B11
% product_3(multiplicative_identity_0(), b_0(), b_0()) ....... R1 [B7:L0, B11:L0]
% Derivation of unit clause U31:
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B9
% product_3(multiplicative_identity_0(),b_0(),b_0()) ....... U25
% product_3(b_0(), multiplicative_identity_0(), b_0()) ....... R1 [B9:L0, U25:L0]
% Derivation of unit clause U64:
% ~sum_3(additive_identity_0(),a_0(),additive_identity_0()) ....... B0
% ~defined_1(x0) | product_3(multiplicative_inverse_1(x0),x0,multiplicative_identity_0()) | sum_3(additive_identity_0(),x0,additive_identity_0()) ....... B22
% ~defined_1(a_0()) | product_3(multiplicative_inverse_1(a_0()), a_0(), multiplicative_identity_0()) ....... R1 [B0:L0, B22:L2]
% defined_1(a_0()) ....... U6
% product_3(multiplicative_inverse_1(a_0()), a_0(), multiplicative_identity_0()) ....... R2 [R1:L0, U6:L0]
% Derivation of unit clause U4295:
% ~sum_3(additive_identity_0(),b_0(),additive_identity_0()) ....... B1
% ~defined_1(x0) | product_3(multiplicative_inverse_1(x0),x0,multiplicative_identity_0()) | sum_3(additive_identity_0(),x0,additive_identity_0()) ....... B22
% ~defined_1(b_0()) | product_3(multiplicative_inverse_1(b_0()), b_0(), multiplicative_identity_0()) ....... R1 [B1:L0, B22:L2]
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B9
% ~defined_1(b_0()) | product_3(b_0(), multiplicative_inverse_1(b_0()), multiplicative_identity_0()) ....... R2 [R1:L1, B9:L0]
% defined_1(b_0()) ....... U7
% product_3(b_0(), multiplicative_inverse_1(b_0()), multiplicative_identity_0()) ....... R3 [R2:L0, U7:L0]
% Derivation of unit clause U4387:
% product_3(multiplicative_identity_0(),multiplicative_inverse_1(a_0()),multiplicative_inverse_1(b_0())) ....... B2
% ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B23
% ~product_3(x0, multiplicative_inverse_1(b_0()), x1) | ~product_3(x0, multiplicative_identity_0(), x2) | product_3(x2, multiplicative_inverse_1(a_0()), x1) ....... R1 [B2:L0, B23:L1]
% product_3(b_0(),multiplicative_inverse_1(b_0()),multiplicative_identity_0()) ....... U4295
% ~product_3(b_0(), multiplicative_identity_0(), x0) | product_3(x0, multiplicative_inverse_1(a_0()), multiplicative_identity_0()) ....... R2 [R1:L0, U4295:L0]
% product_3(b_0(),multiplicative_identity_0(),b_0()) ....... U31
% product_3(b_0(), multiplicative_inverse_1(a_0()), multiplicative_identity_0()) ....... R3 [R2:L0, U31:L0]
% Derivation of unit clause U4420:
% ~product_3(multiplicative_identity_0(),a_0(),b_0()) ....... B3
% ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B23
% ~product_3(x0, x1, b_0()) | ~product_3(x2, a_0(), x1) | ~product_3(x0, x2, multiplicative_identity_0()) ....... R1 [B3:L0, B23:L3]
% product_3(b_0(),multiplicative_identity_0(),b_0()) ....... U31
% ~product_3(x0, a_0(), multiplicative_identity_0()) | ~product_3(b_0(), x0, multiplicative_identity_0()) ....... R2 [R1:L0, U31:L0]
% product_3(multiplicative_inverse_1(a_0()),a_0(),multiplicative_identity_0()) ....... U64
% ~product_3(b_0(), multiplicative_inverse_1(a_0()), multiplicative_identity_0()) ....... R3 [R2:L0, U64:L0]
% Derivation of the empty clause:
% ~product_3(b_0(),multiplicative_inverse_1(a_0()),multiplicative_identity_0()) ....... U4420
% product_3(b_0(),multiplicative_inverse_1(a_0()),multiplicative_identity_0()) ....... U4387
% [] ....... R1 [U4420:L0, U4387:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 168996
% resolvents: 168844 factors: 152
% Number of unit clauses generated: 126990
% % unit clauses generated to total clauses generated: 75.14
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 9 [1] = 54 [2] = 4142 [3] = 216
% Total = 4421
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 126990 [2] = 41860 [3] = 146
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] defined_1 (+)3890 (-)0
% [1] less_or_equal_2 (+)0 (-)0
% [2] product_3 (+)168 (-)5
% [3] sum_3 (+)187 (-)171
% ------------------
% Total: (+)4245 (-)176
% Total number of unit clauses retained: 4421
% Number of clauses skipped because of their length: 6725
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 169009
% Number of unification failures: 274009
% Number of unit to unit unification failures: 32786
% N literal unification failure due to lookup root_id table: 5519
% N base clause resolution failure due to lookup table: 3144
% 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: 107258
% N unit clauses dropped because too much nesting: 48652
% 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: 3913
% Total number of terms of all unit clauses in table: 28253
% Max allowed number of states in UCFA: 80000
% Ratio n states used/total allowed states: 0.05
% Ratio n states used/total unit clauses terms: 0.14
% Number of symbols (columns) in UCFA: 46
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 443018
% ConstructUnitClause() = 111670
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.10 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.52 secs
%
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