%------------------------------------------------------------------------------ % 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 % %------------------------------------------------------------------------------