TSTP Solution File: FLD025-3 by CARINE---0.734
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : FLD025-3 : TPTP v5.0.0. Bugfixed v2.1.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art02.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 18:26:26 EST 2010
% Result : Unsatisfiable 1.48s
% Output : Refutation 1.48s
% 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/SystemOnTPTP29410/FLD/FLD025-3+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 = 214] [nf = 0] [nu = 141] [ut = 89]
% Looking for a proof at depth = 2 ...
% t = 2 secs [nr = 706954] [nf = 82] [nu = 555361] [ut = 15673]
% 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())
% B2: ~product_3(d_0(),b_0(),multiply_2(a_0(),c_0()))
% B5: defined_1(a_0())
% B10: ~product_3(x1,x0,x2) | product_3(x0,x1,x2)
% B12: ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0)
% B20: ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1))
% B24: ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2)
% B25: ~product_3(x4,x5,x2) | ~product_3(x3,x5,x1) | ~product_3(x0,x3,x4) | product_3(x0,x1,x2)
% Unit Clauses:
% --------------
% U7: < d0 v0 dv0 f0 c1 t1 td1 b > defined_1(c_0())
% U12: < d1 v0 dv0 f1 c4 t5 td2 > ~product_3(b_0(),d_0(),multiply_2(a_0(),c_0()))
% U21: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),a_0(),a_0())
% U38: < d1 v0 dv0 f0 c3 t3 td1 > product_3(a_0(),multiplicative_identity_0(),a_0())
% U3123: < d2 v0 dv0 f1 c4 t5 td2 > product_3(a_0(),c_0(),multiply_2(a_0(),c_0()))
% U15695: < d3 v0 dv0 f0 c3 t3 td1 > product_3(b_0(),multiplicative_identity_0(),a_0())
% U15797: < d3 v0 dv0 f1 c4 t5 td2 > product_3(b_0(),d_0(),multiply_2(a_0(),c_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U7:
% defined_1(c_0()) ....... U7
% Derivation of unit clause U12:
% ~product_3(d_0(),b_0(),multiply_2(a_0(),c_0())) ....... B2
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B10
% ~product_3(b_0(), d_0(), multiply_2(a_0(), c_0())) ....... R1 [B2:L0, B10:L1]
% Derivation of unit clause U21:
% defined_1(a_0()) ....... B5
% ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B12
% product_3(multiplicative_identity_0(), a_0(), a_0()) ....... R1 [B5:L0, B12:L0]
% Derivation of unit clause U38:
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B10
% product_3(multiplicative_identity_0(),a_0(),a_0()) ....... U21
% product_3(a_0(), multiplicative_identity_0(), a_0()) ....... R1 [B10:L0, U21:L0]
% Derivation of unit clause U3123:
% defined_1(a_0()) ....... B5
% ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1)) ....... B20
% ~defined_1(x0) | product_3(a_0(), x0, multiply_2(a_0(), x0)) ....... R1 [B5:L0, B20:L1]
% defined_1(c_0()) ....... U7
% product_3(a_0(), c_0(), multiply_2(a_0(), c_0())) ....... R2 [R1:L0, U7:L0]
% Derivation of unit clause U15695:
% 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) ....... B24
% ~product_3(multiplicative_identity_0(), x0, x1) | ~product_3(a_0(), x2, x0) | product_3(b_0(), x2, x1) ....... R1 [B0:L0, B24:L2]
% product_3(multiplicative_identity_0(),a_0(),a_0()) ....... U21
% ~product_3(a_0(), x0, a_0()) | product_3(b_0(), x0, a_0()) ....... R2 [R1:L0, U21:L0]
% product_3(a_0(),multiplicative_identity_0(),a_0()) ....... U38
% product_3(b_0(), multiplicative_identity_0(), a_0()) ....... R3 [R2:L0, U38:L0]
% Derivation of unit clause U15797:
% product_3(multiplicative_identity_0(),c_0(),d_0()) ....... B1
% ~product_3(x4,x5,x2) | ~product_3(x3,x5,x1) | ~product_3(x0,x3,x4) | product_3(x0,x1,x2) ....... B25
% ~product_3(x0, c_0(), x1) | ~product_3(x2, multiplicative_identity_0(), x0) | product_3(x2, d_0(), x1) ....... R1 [B1:L0, B25:L1]
% product_3(a_0(),c_0(),multiply_2(a_0(),c_0())) ....... U3123
% ~product_3(x0, multiplicative_identity_0(), a_0()) | product_3(x0, d_0(), multiply_2(a_0(), c_0())) ....... R2 [R1:L0, U3123:L0]
% product_3(b_0(),multiplicative_identity_0(),a_0()) ....... U15695
% product_3(b_0(), d_0(), multiply_2(a_0(), c_0())) ....... R3 [R2:L0, U15695:L0]
% Derivation of the empty clause:
% product_3(b_0(),d_0(),multiply_2(a_0(),c_0())) ....... U15797
% ~product_3(b_0(),d_0(),multiply_2(a_0(),c_0())) ....... U12
% [] ....... R1 [U15797:L0, U12:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 709816
% resolvents: 709712 factors: 104
% Number of unit clauses generated: 555765
% % unit clauses generated to total clauses generated: 78.30
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 10 [1] = 79 [2] = 15584 [3] = 125
% Total = 15798
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 555765 [2] = 153935 [3] = 116
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] defined_1 (+)15128 (-)0
% [1] less_or_equal_2 (+)0 (-)0
% [2] product_3 (+)337 (-)9
% [3] sum_3 (+)323 (-)1
% ------------------
% Total: (+)15788 (-)10
% Total number of unit clauses retained: 15798
% Number of clauses skipped because of their length: 6854
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 709827
% Number of unification failures: 222036
% Number of unit to unit unification failures: 3348
% N literal unification failure due to lookup root_id table: 4938
% N base clause resolution failure due to lookup table: 3600
% 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: 480042
% N unit clauses dropped because too much nesting: 226075
% 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: 8465
% Total number of terms of all unit clauses in table: 104742
% Max allowed number of states in UCFA: 80000
% Ratio n states used/total allowed states: 0.11
% Ratio n states used/total unit clauses terms: 0.08
% Number of symbols (columns) in UCFA: 48
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 931863
% ConstructUnitClause() = 495830
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.61 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 709816
% | |
% --------------------------------------------------------
% Elapsed time: 2 secs
% CPU time: 1.48 secs
%
%------------------------------------------------------------------------------