TSTP Solution File: FLD029-3 by CARINE---0.734
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- Process Solution
%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : FLD029-3 : TPTP v5.0.0. Bugfixed v2.1.0.
% 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 18:29:51 EST 2010
% Result : Unsatisfiable 9.73s
% Output : Refutation 9.73s
% 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/SystemOnTPTP19204/FLD/FLD029-3+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 = 220] [nf = 0] [nu = 144] [ut = 91]
% Looking for a proof at depth = 2 ...
% t = 2 secs [nr = 723227] [nf = 90] [nu = 568340] [ut = 16034]
% 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(a_0(),u_0(),b_0())
% B1: product_3(a_0(),v_0(),b_0())
% B2: ~sum_3(additive_identity_0(),b_0(),additive_identity_0())
% B3: ~product_3(multiplicative_identity_0(),u_0(),v_0())
% B6: defined_1(a_0())
% B9: defined_1(v_0())
% B11: ~product_3(x1,x0,x2) | product_3(x0,x1,x2)
% B13: ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0)
% B21: ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1))
% B23: ~defined_1(x0) | defined_1(multiplicative_inverse_1(x0)) | sum_3(additive_identity_0(),x0,additive_identity_0())
% B24: ~defined_1(x0) | product_3(multiplicative_inverse_1(x0),x0,multiplicative_identity_0()) | sum_3(additive_identity_0(),x0,additive_identity_0())
% B25: ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2)
% Unit Clauses:
% --------------
% U7: < d0 v0 dv0 f0 c1 t1 td1 b > defined_1(b_0())
% U35: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),v_0(),v_0())
% U43: < d1 v0 dv0 f0 c3 t3 td1 > product_3(v_0(),multiplicative_identity_0(),v_0())
% U91: < d2 v0 dv0 f1 c1 t2 td2 > defined_1(multiplicative_inverse_1(b_0()))
% U92: < d2 v0 dv0 f1 c3 t4 td2 > product_3(multiplicative_inverse_1(b_0()),b_0(),multiplicative_identity_0())
% U3224: < d2 v0 dv0 f3 c4 t7 td3 > product_3(multiplicative_inverse_1(b_0()),a_0(),multiply_2(multiplicative_inverse_1(b_0()),a_0()))
% U16037: < d3 v0 dv0 f2 c4 t6 td3 > product_3(multiply_2(multiplicative_inverse_1(b_0()),a_0()),u_0(),multiplicative_identity_0())
% U16077: < d3 v0 dv0 f2 c4 t6 td3 > product_3(multiply_2(multiplicative_inverse_1(b_0()),a_0()),v_0(),multiplicative_identity_0())
% U16236: < d3 v0 dv0 f2 c4 t6 td3 > ~product_3(v_0(),multiply_2(multiplicative_inverse_1(b_0()),a_0()),multiplicative_identity_0())
% U20677: < d3 v0 dv0 f2 c4 t6 td3 > ~product_3(multiply_2(multiplicative_inverse_1(b_0()),a_0()),v_0(),multiplicative_identity_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U7:
% defined_1(b_0()) ....... U7
% Derivation of unit clause U35:
% defined_1(v_0()) ....... B9
% ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B13
% product_3(multiplicative_identity_0(), v_0(), v_0()) ....... R1 [B9:L0, B13:L0]
% Derivation of unit clause U43:
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B11
% product_3(multiplicative_identity_0(),v_0(),v_0()) ....... U35
% product_3(v_0(), multiplicative_identity_0(), v_0()) ....... R1 [B11:L0, U35:L0]
% Derivation of unit clause U91:
% ~sum_3(additive_identity_0(),b_0(),additive_identity_0()) ....... B2
% ~defined_1(x0) | defined_1(multiplicative_inverse_1(x0)) | sum_3(additive_identity_0(),x0,additive_identity_0()) ....... B23
% ~defined_1(b_0()) | defined_1(multiplicative_inverse_1(b_0())) ....... R1 [B2:L0, B23:L2]
% defined_1(b_0()) ....... U7
% defined_1(multiplicative_inverse_1(b_0())) ....... R2 [R1:L0, U7:L0]
% Derivation of unit clause U92:
% ~sum_3(additive_identity_0(),b_0(),additive_identity_0()) ....... B2
% ~defined_1(x0) | product_3(multiplicative_inverse_1(x0),x0,multiplicative_identity_0()) | sum_3(additive_identity_0(),x0,additive_identity_0()) ....... B24
% ~defined_1(b_0()) | product_3(multiplicative_inverse_1(b_0()), b_0(), multiplicative_identity_0()) ....... R1 [B2:L0, B24:L2]
% defined_1(b_0()) ....... U7
% product_3(multiplicative_inverse_1(b_0()), b_0(), multiplicative_identity_0()) ....... R2 [R1:L0, U7:L0]
% Derivation of unit clause U3224:
% defined_1(a_0()) ....... B6
% ~defined_1(x1) | ~defined_1(x0) | product_3(x0,x1,multiply_2(x0,x1)) ....... B21
% ~defined_1(x0) | product_3(x0, a_0(), multiply_2(x0, a_0())) ....... R1 [B6:L0, B21:L0]
% defined_1(multiplicative_inverse_1(b_0())) ....... U91
% product_3(multiplicative_inverse_1(b_0()), a_0(), multiply_2(multiplicative_inverse_1(b_0()), a_0())) ....... R2 [R1:L0, U91:L0]
% Derivation of unit clause U16037:
% product_3(a_0(),u_0(),b_0()) ....... B0
% ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B25
% ~product_3(x0, b_0(), x1) | ~product_3(x0, a_0(), x2) | product_3(x2, u_0(), x1) ....... R1 [B0:L0, B25:L1]
% product_3(multiplicative_inverse_1(b_0()),b_0(),multiplicative_identity_0()) ....... U92
% ~product_3(multiplicative_inverse_1(b_0()), a_0(), x0) | product_3(x0, u_0(), multiplicative_identity_0()) ....... R2 [R1:L0, U92:L0]
% product_3(multiplicative_inverse_1(b_0()),a_0(),multiply_2(multiplicative_inverse_1(b_0()),a_0())) ....... U3224
% product_3(multiply_2(multiplicative_inverse_1(b_0()), a_0()), u_0(), multiplicative_identity_0()) ....... R3 [R2:L0, U3224:L0]
% Derivation of unit clause U16077:
% product_3(a_0(),v_0(),b_0()) ....... B1
% ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B25
% ~product_3(x0, b_0(), x1) | ~product_3(x0, a_0(), x2) | product_3(x2, v_0(), x1) ....... R1 [B1:L0, B25:L1]
% product_3(multiplicative_inverse_1(b_0()),b_0(),multiplicative_identity_0()) ....... U92
% ~product_3(multiplicative_inverse_1(b_0()), a_0(), x0) | product_3(x0, v_0(), multiplicative_identity_0()) ....... R2 [R1:L0, U92:L0]
% product_3(multiplicative_inverse_1(b_0()),a_0(),multiply_2(multiplicative_inverse_1(b_0()),a_0())) ....... U3224
% product_3(multiply_2(multiplicative_inverse_1(b_0()), a_0()), v_0(), multiplicative_identity_0()) ....... R3 [R2:L0, U3224:L0]
% Derivation of unit clause U16236:
% ~product_3(multiplicative_identity_0(),u_0(),v_0()) ....... B3
% ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B25
% ~product_3(x0, x1, v_0()) | ~product_3(x2, u_0(), x1) | ~product_3(x0, x2, multiplicative_identity_0()) ....... R1 [B3:L0, B25:L3]
% product_3(v_0(),multiplicative_identity_0(),v_0()) ....... U43
% ~product_3(x0, u_0(), multiplicative_identity_0()) | ~product_3(v_0(), x0, multiplicative_identity_0()) ....... R2 [R1:L0, U43:L0]
% product_3(multiply_2(multiplicative_inverse_1(b_0()),a_0()),u_0(),multiplicative_identity_0()) ....... U16037
% ~product_3(v_0(), multiply_2(multiplicative_inverse_1(b_0()), a_0()), multiplicative_identity_0()) ....... R3 [R2:L0, U16037:L0]
% Derivation of unit clause U20677:
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B11
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B11
% ~product_3(x0, x1, x2) | product_3(x0, x1, x2) ....... R1 [B11:L1, B11:L0]
% ~product_3(x1,x0,x2) | product_3(x0,x1,x2) ....... B11
% product_3(x0, x1, x2) | ~product_3(x1, x0, x2) ....... R2 [R1:L0, B11:L1]
% ~product_3(v_0(),multiply_2(multiplicative_inverse_1(b_0()),a_0()),multiplicative_identity_0()) ....... U16236
% ~product_3(multiply_2(multiplicative_inverse_1(b_0()), a_0()), v_0(), multiplicative_identity_0()) ....... R3 [R2:L0, U16236:L0]
% Derivation of the empty clause:
% ~product_3(multiply_2(multiplicative_inverse_1(b_0()),a_0()),v_0(),multiplicative_identity_0()) ....... U20677
% product_3(multiply_2(multiplicative_inverse_1(b_0()),a_0()),v_0(),multiplicative_identity_0()) ....... U16077
% [] ....... R1 [U20677:L0, U16077:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 4708563
% resolvents: 4707991 factors: 572
% Number of unit clauses generated: 4334702
% % unit clauses generated to total clauses generated: 92.06
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 11 [1] = 80 [2] = 15943 [3] = 4644
% Total = 20678
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 4334702 [2] = 373206 [3] = 655
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] defined_1 (+)19177 (-)0
% [1] less_or_equal_2 (+)6 (-)0
% [2] product_3 (+)500 (-)15
% [3] sum_3 (+)599 (-)381
% ------------------
% Total: (+)20282 (-)396
% Total number of unit clauses retained: 20678
% Number of clauses skipped because of their length: 1709036
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 4708583
% Number of unification failures: 1747042
% Number of unit to unit unification failures: 235496
% N literal unification failure due to lookup root_id table: 861230
% N base clause resolution failure due to lookup table: 1066074
% 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: 3414350
% N unit clauses dropped because too much nesting: 2609236
% 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: 11888
% Total number of terms of all unit clauses in table: 134311
% 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: 0.09
% Number of symbols (columns) in UCFA: 48
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 6455625
% ConstructUnitClause() = 3435017
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 3.64 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 523174
% | |
% --------------------------------------------------------
% Elapsed time: 10 secs
% CPU time: 9.72 secs
%
%------------------------------------------------------------------------------