TSTP Solution File: FLD025-4 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : FLD025-4 : TPTP v5.0.0. Bugfixed v2.1.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art03.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 18:26:41 EST 2010
% Result : Unsatisfiable 2.61s
% Output : Refutation 2.61s
% 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/SystemOnTPTP21276/FLD/FLD025-4+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 = 249] [nf = 0] [nu = 166] [ut = 105]
% Looking for a proof at depth = 2 ...
% t = 3 secs [nr = 1300609] [nf = 90] [nu = 1034358] [ut = 27314]
% 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(multiplicative_identity_0(),a_0(),b_0())
% B1: product_3(multiplicative_identity_0(),c_0(),d_0())
% B3: ~product_3(d_0(),b_0(),u_0())
% B6: defined_1(a_0())
% B10: defined_1(u_0())
% B12: ~product_3(x1,x0,x2) | product_3(x0,x1,x2)
% B14: ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0)
% B22: ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1))
% B26: ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2)
% B27: ~product_3(x4,x5,x2) | ~product_3(x3,x5,x1) | ~product_3(x0,x3,x4) | product_3(x0,x1,x2)
% Unit Clauses:
% --------------
% U2: < d0 v0 dv0 f0 c3 t3 td1 b nc > product_3(a_0(),c_0(),u_0())
% U9: < d0 v0 dv0 f0 c1 t1 td1 b > defined_1(d_0())
% U15: < d1 v0 dv0 f0 c3 t3 td1 > ~product_3(b_0(),d_0(),u_0())
% U24: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),a_0(),a_0())
% U40: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),u_0(),u_0())
% U45: < d1 v0 dv0 f0 c3 t3 td1 > product_3(a_0(),multiplicative_identity_0(),a_0())
% U3714: < d2 v0 dv0 f1 c4 t5 td2 > product_3(a_0(),d_0(),multiply_2(a_0(),d_0()))
% U27340: < d3 v0 dv0 f0 c3 t3 td1 > product_3(b_0(),c_0(),u_0())
% U27345: < d3 v0 dv0 f1 c4 t5 td2 > ~product_3(multiplicative_identity_0(),multiply_2(a_0(),d_0()),u_0())
% U27404: < d3 v0 dv0 f1 c4 t5 td2 > ~product_3(a_0(),c_0(),multiply_2(a_0(),d_0()))
% U27423: < d3 v0 dv0 f1 c4 t5 td2 > product_3(a_0(),c_0(),multiply_2(a_0(),d_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% product_3(a_0(),c_0(),u_0()) ....... U2
% Derivation of unit clause U9:
% defined_1(d_0()) ....... U9
% Derivation of unit clause U15:
% ~product_3(d_0(),b_0(),u_0()) ....... B3
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B12
% ~product_3(b_0(), d_0(), u_0()) ....... R1 [B3:L0, B12:L1]
% Derivation of unit clause U24:
% defined_1(a_0()) ....... B6
% ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B14
% product_3(multiplicative_identity_0(), a_0(), a_0()) ....... R1 [B6:L0, B14:L0]
% Derivation of unit clause U40:
% defined_1(u_0()) ....... B10
% ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B14
% product_3(multiplicative_identity_0(), u_0(), u_0()) ....... R1 [B10:L0, B14:L0]
% Derivation of unit clause U45:
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B12
% product_3(multiplicative_identity_0(),a_0(),a_0()) ....... U24
% product_3(a_0(), multiplicative_identity_0(), a_0()) ....... R1 [B12:L0, U24:L0]
% Derivation of unit clause U3714:
% defined_1(a_0()) ....... B6
% ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1)) ....... B22
% ~defined_1(x0) | product_3(a_0(), x0, multiply_2(a_0(), x0)) ....... R1 [B6:L0, B22:L1]
% defined_1(d_0()) ....... U9
% product_3(a_0(), d_0(), multiply_2(a_0(), d_0())) ....... R2 [R1:L0, U9:L0]
% Derivation of unit clause U27340:
% product_3(multiplicative_identity_0(),a_0(),b_0()) ....... B0
% ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B26
% ~product_3(multiplicative_identity_0(), x0, x1) | ~product_3(a_0(), x2, x0) | product_3(b_0(), x2, x1) ....... R1 [B0:L0, B26:L2]
% product_3(multiplicative_identity_0(),u_0(),u_0()) ....... U40
% ~product_3(a_0(), x0, u_0()) | product_3(b_0(), x0, u_0()) ....... R2 [R1:L0, U40:L0]
% product_3(a_0(),c_0(),u_0()) ....... U2
% product_3(b_0(), c_0(), u_0()) ....... R3 [R2:L0, U2:L0]
% Derivation of unit clause U27345:
% product_3(multiplicative_identity_0(),a_0(),b_0()) ....... B0
% ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B26
% ~product_3(multiplicative_identity_0(), x0, x1) | ~product_3(a_0(), x2, x0) | product_3(b_0(), x2, x1) ....... R1 [B0:L0, B26:L2]
% product_3(a_0(),d_0(),multiply_2(a_0(),d_0())) ....... U3714
% ~product_3(multiplicative_identity_0(), multiply_2(a_0(), d_0()), x0) | product_3(b_0(), d_0(), x0) ....... R2 [R1:L1, U3714:L0]
% ~product_3(b_0(),d_0(),u_0()) ....... U15
% ~product_3(multiplicative_identity_0(), multiply_2(a_0(), d_0()), u_0()) ....... R3 [R2:L1, U15:L0]
% Derivation of unit clause U27404:
% product_3(multiplicative_identity_0(),a_0(),b_0()) ....... B0
% ~product_3(x4,x5,x2) | ~product_3(x3,x5,x1) | ~product_3(x0,x3,x4) | product_3(x0,x1,x2) ....... B27
% ~product_3(b_0(), x0, x1) | ~product_3(a_0(), x0, x2) | product_3(multiplicative_identity_0(), x2, x1) ....... R1 [B0:L0, B27:L2]
% product_3(b_0(),c_0(),u_0()) ....... U27340
% ~product_3(a_0(), c_0(), x0) | product_3(multiplicative_identity_0(), x0, u_0()) ....... R2 [R1:L0, U27340:L0]
% ~product_3(multiplicative_identity_0(),multiply_2(a_0(),d_0()),u_0()) ....... U27345
% ~product_3(a_0(), c_0(), multiply_2(a_0(), d_0())) ....... R3 [R2:L1, U27345:L0]
% Derivation of unit clause U27423:
% product_3(multiplicative_identity_0(),c_0(),d_0()) ....... B1
% ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B26
% ~product_3(x0, d_0(), x1) | ~product_3(x0, multiplicative_identity_0(), x2) | product_3(x2, c_0(), x1) ....... R1 [B1:L0, B26:L1]
% product_3(a_0(),d_0(),multiply_2(a_0(),d_0())) ....... U3714
% ~product_3(a_0(), multiplicative_identity_0(), x0) | product_3(x0, c_0(), multiply_2(a_0(), d_0())) ....... R2 [R1:L0, U3714:L0]
% product_3(a_0(),multiplicative_identity_0(),a_0()) ....... U45
% product_3(a_0(), c_0(), multiply_2(a_0(), d_0())) ....... R3 [R2:L0, U45:L0]
% Derivation of the empty clause:
% product_3(a_0(),c_0(),multiply_2(a_0(),d_0())) ....... U27423
% ~product_3(a_0(),c_0(),multiply_2(a_0(),d_0())) ....... U27404
% [] ....... R1 [U27423:L0, U27404:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 1302952
% resolvents: 1302846 factors: 106
% Number of unit clauses generated: 1034716
% % unit clauses generated to total clauses generated: 79.41
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 12 [1] = 93 [2] = 27209 [3] = 110
% Total = 27424
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 1034716 [2] = 268128 [3] = 108
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] defined_1 (+)26593 (-)0
% [1] less_or_equal_2 (+)0 (-)0
% [2] product_3 (+)396 (-)8
% [3] sum_3 (+)426 (-)1
% ------------------
% Total: (+)27415 (-)9
% Total number of unit clauses retained: 27424
% Number of clauses skipped because of their length: 5791
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 1302970
% Number of unification failures: 213836
% Number of unit to unit unification failures: 3593
% N literal unification failure due to lookup root_id table: 4331
% N base clause resolution failure due to lookup table: 3084
% 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: 901716
% N unit clauses dropped because too much nesting: 428743
% 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: 12308
% Total number of terms of all unit clauses in table: 183196
% Max allowed number of states in UCFA: 80000
% Ratio n states used/total allowed states: 0.15
% Ratio n states used/total unit clauses terms: 0.07
% Number of symbols (columns) in UCFA: 49
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 1516806
% ConstructUnitClause() = 929128
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 1.05 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 651476
% | |
% --------------------------------------------------------
% Elapsed time: 3 secs
% CPU time: 2.61 secs
%
%------------------------------------------------------------------------------