TSTP Solution File: SWV272-2 by CARINE---0.734
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- Process Solution
%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SWV272-2 : TPTP v5.0.0. Released v3.2.0.
% 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 : Sun Nov 28 06:47:28 EST 2010
% Result : Unsatisfiable 4.05s
% Output : Refutation 4.05s
% 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/SystemOnTPTP14944/SWV/SWV272-2+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 = 71] [nf = 0] [nu = 50] [ut = 27]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 820] [nf = 0] [nu = 554] [ut = 59]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),v_X_0()),c_union_3(c_Message_Oparts_1(v_H_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0())
% B1: ~c_in_3(v_X_0(),c_union_3(c_Message_Oparts_1(v_H_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0())
% B2: ~c_in_3(x0,x1,x2) | c_in_3(x0,c_union_3(x1,x3,x2),x2)
% B3: ~c_in_3(x0,x1,x2) | c_in_3(x0,c_union_3(x3,x1,x2),x2)
% B4: ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Oparts_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oparts_1(x2),tc_Message_Omsg_0())
% B5: ~c_in_3(x0,x1,tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Oparts_1(x1),tc_Message_Omsg_0())
% B6: ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3)
% B7: ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),x2,tc_Message_Omsg_0())
% Unit Clauses:
% --------------
% U5: < d1 v0 dv0 f1 c3 t4 td2 > ~c_in_3(v_X_0(),c_Message_Oparts_1(v_H_0()),tc_Message_Omsg_0())
% U6: < d1 v0 dv0 f1 c3 t4 td2 > ~c_in_3(v_X_0(),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0())
% U14: < d1 v1 dv1 f2 c3 t6 td2 > ~c_in_3(c_Message_Omsg_OCrypt_2(x0,v_X_0()),c_Message_Oparts_1(v_H_0()),tc_Message_Omsg_0())
% U23: < d1 v1 dv1 f1 c3 t5 td2 > ~c_in_3(c_Message_Omsg_OCrypt_2(x0,v_X_0()),v_H_0(),tc_Message_Omsg_0())
% U27: < d2 v0 dv0 f2 c4 t6 td2 > c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),v_X_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0())
% U30: < d2 v0 dv0 f5 c7 t12 td4 > ~c_in_3(v_X_0(),c_union_3(c_Message_Osynth_1(v_H_0()),c_union_3(c_Message_Oparts_1(v_H_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0())
% U674: < d3 v0 dv0 f1 c4 t5 td2 > c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),v_X_0()),v_H_0(),tc_Message_Omsg_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U5:
% ~c_in_3(v_X_0(),c_union_3(c_Message_Oparts_1(v_H_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... B1
% ~c_in_3(x0,x1,x2) | c_in_3(x0,c_union_3(x1,x3,x2),x2) ....... B2
% ~c_in_3(v_X_0(), c_Message_Oparts_1(v_H_0()), tc_Message_Omsg_0()) ....... R1 [B1:L0, B2:L1]
% Derivation of unit clause U6:
% ~c_in_3(v_X_0(),c_union_3(c_Message_Oparts_1(v_H_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... B1
% ~c_in_3(x0,x1,x2) | c_in_3(x0,c_union_3(x3,x1,x2),x2) ....... B3
% ~c_in_3(v_X_0(), c_Message_Osynth_1(v_H_0()), tc_Message_Omsg_0()) ....... R1 [B1:L0, B3:L1]
% Derivation of unit clause U14:
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Oparts_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Oparts_1(x2),tc_Message_Omsg_0()) ....... B4
% ~c_in_3(v_X_0(),c_Message_Oparts_1(v_H_0()),tc_Message_Omsg_0()) ....... U5
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0, v_X_0()), c_Message_Oparts_1(v_H_0()), tc_Message_Omsg_0()) ....... R1 [B4:L1, U5:L0]
% Derivation of unit clause U23:
% ~c_in_3(x0,x1,tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Oparts_1(x1),tc_Message_Omsg_0()) ....... B5
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0,v_X_0()),c_Message_Oparts_1(v_H_0()),tc_Message_Omsg_0()) ....... U14
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0, v_X_0()), v_H_0(), tc_Message_Omsg_0()) ....... R1 [B5:L1, U14:L0]
% Derivation of unit clause U27:
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),v_X_0()),c_union_3(c_Message_Oparts_1(v_H_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... B0
% ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3) ....... B6
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), v_X_0()), c_Message_Osynth_1(v_H_0()), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), v_X_0()), c_Message_Oparts_1(v_H_0()), tc_Message_Omsg_0()) ....... R1 [B0:L0, B6:L0]
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0,v_X_0()),c_Message_Oparts_1(v_H_0()),tc_Message_Omsg_0()) ....... U14
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), v_X_0()), c_Message_Osynth_1(v_H_0()), tc_Message_Omsg_0()) ....... R2 [R1:L1, U14:L0]
% Derivation of unit clause U30:
% ~c_in_3(v_X_0(),c_union_3(c_Message_Oparts_1(v_H_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... B1
% ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3) ....... B6
% ~c_in_3(v_X_0(), c_union_3(x0, c_union_3(c_Message_Oparts_1(v_H_0()), c_Message_Osynth_1(v_H_0()), tc_Message_Omsg_0()), tc_Message_Omsg_0()), tc_Message_Omsg_0()) | c_in_3(v_X_0(), x0, tc_Message_Omsg_0()) ....... R1 [B1:L0, B6:L1]
% ~c_in_3(v_X_0(),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()) ....... U6
% ~c_in_3(v_X_0(), c_union_3(c_Message_Osynth_1(v_H_0()), c_union_3(c_Message_Oparts_1(v_H_0()), c_Message_Osynth_1(v_H_0()), tc_Message_Omsg_0()), tc_Message_Omsg_0()), tc_Message_Omsg_0()) ....... R2 [R1:L1, U6:L0]
% Derivation of unit clause U674:
% ~c_in_3(x0,x1,x2) | c_in_3(x0,c_union_3(x1,x3,x2),x2) ....... B2
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),x2,tc_Message_Omsg_0()) ....... B7
% c_in_3(x0, c_union_3(c_Message_Osynth_1(x1), x2, tc_Message_Omsg_0()), tc_Message_Omsg_0()) | ~c_in_3(c_Message_Omsg_OCrypt_2(x3, x0), c_Message_Osynth_1(x1), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(x3, x0), x1, tc_Message_Omsg_0()) ....... R1 [B2:L0, B7:L1]
% ~c_in_3(v_X_0(),c_union_3(c_Message_Osynth_1(v_H_0()),c_union_3(c_Message_Oparts_1(v_H_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... U30
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0, v_X_0()), c_Message_Osynth_1(v_H_0()), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(x0, v_X_0()), v_H_0(), tc_Message_Omsg_0()) ....... R2 [R1:L0, U30:L0]
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),v_X_0()),c_Message_Osynth_1(v_H_0()),tc_Message_Omsg_0()) ....... U27
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), v_X_0()), v_H_0(), tc_Message_Omsg_0()) ....... R3 [R2:L0, U27:L0]
% Derivation of the empty clause:
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),v_X_0()),v_H_0(),tc_Message_Omsg_0()) ....... U674
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0,v_X_0()),v_H_0(),tc_Message_Omsg_0()) ....... U23
% [] ....... R1 [U674:L0, U23:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 1377852
% resolvents: 1377852 factors: 0
% Number of unit clauses generated: 1361282
% % unit clauses generated to total clauses generated: 98.80
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 2 [1] = 25 [2] = 32 [3] = 616
% Total = 675
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 1361282 [2] = 16479 [3] = 91
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] c_in_3 (+)74 (-)601
% ------------------
% Total: (+)74 (-)601
% Total number of unit clauses retained: 675
% Number of clauses skipped because of their length: 5411
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 1377863
% Number of unification failures: 217159
% Number of unit to unit unification failures: 43881
% N literal unification failure due to lookup root_id table: 100781
% N base clause resolution failure due to lookup table: 15
% N UC-BCL resolution dropped due to lookup table: 1379
% Max entries in substitution set: 12
% N unit clauses dropped because they exceeded max values: 1360055
% N unit clauses dropped because too much nesting: 733877
% 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: 16
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 3267
% Total number of terms of all unit clauses in table: 9455
% Max allowed number of states in UCFA: 144000
% Ratio n states used/total allowed states: 0.02
% Ratio n states used/total unit clauses terms: 0.35
% Number of symbols (columns) in UCFA: 43
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 1595022
% ConstructUnitClause() = 1360728
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 2.02 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 344463
% | |
% --------------------------------------------------------
% Elapsed time: 4 secs
% CPU time: 4.04 secs
%
%------------------------------------------------------------------------------