%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : MSC006-1 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art01.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 : Sun Nov 28 02:00:42 EST 2010 % Result : Unsatisfiable 0.61s % Output : Refutation 0.61s % 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/SystemOnTPTP25291/MSC/MSC006-1+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 = 15] [nf = 0] [nu = 10] [ut = 7] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 80] [nf = 8] [nu = 31] [ut = 7] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 589] [nf = 66] [nu = 188] [ut = 11] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 4122] [nf = 422] [nu = 1079] [ut = 11] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 28886] [nf = 3256] [nu = 6269] [ut = 11] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 200439] [nf = 21152] [nu = 38312] [ut = 11] % Looking for a proof at depth = 7 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~q_2(c_0(),d_0()) % B1: ~p_2(a_0(),b_0()) % B2: p_2(x0,x1) | q_2(x0,x1) % B3: ~q_2(x0,x1) | q_2(x1,x0) % B4: ~p_2(x1,x2) | ~p_2(x0,x1) | p_2(x0,x2) % B5: ~q_2(x1,x2) | ~q_2(x0,x1) | q_2(x0,x2) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f0 c2 t2 td1 b > ~p_2(a_0(),b_0()) % U3: < d1 v0 dv0 f0 c2 t2 td1 > ~q_2(d_0(),c_0()) % U4: < d1 v0 dv0 f0 c2 t2 td1 > q_2(a_0(),b_0()) % U5: < d1 v0 dv0 f0 c2 t2 td1 > p_2(d_0(),c_0()) % U6: < d1 v0 dv0 f0 c2 t2 td1 > q_2(b_0(),a_0()) % U11: < d7 v1 dv1 f0 c1 t2 td1 > p_2(x0,c_0()) % U13: < d7 v1 dv1 f0 c1 t2 td1 > p_2(d_0(),x0) % U19: < d7 v0 dv0 f0 c2 t2 td1 > ~q_2(a_0(),d_0()) % U21: < d7 v0 dv0 f0 c2 t2 td1 > ~q_2(c_0(),b_0()) % U23: < d7 v0 dv0 f0 c2 t2 td1 > ~q_2(c_0(),a_0()) % U27: < d7 v0 dv0 f0 c2 t2 td1 > q_2(c_0(),b_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % ~p_2(a_0(),b_0()) ....... U1 % Derivation of unit clause U3: % ~q_2(c_0(),d_0()) ....... B0 % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % ~q_2(d_0(), c_0()) ....... R1 [B0:L0, B3:L1] % Derivation of unit clause U4: % ~p_2(a_0(),b_0()) ....... B1 % p_2(x0,x1) | q_2(x0,x1) ....... B2 % q_2(a_0(), b_0()) ....... R1 [B1:L0, B2:L0] % Derivation of unit clause U5: % p_2(x0,x1) | q_2(x0,x1) ....... B2 % ~q_2(d_0(),c_0()) ....... U3 % p_2(d_0(), c_0()) ....... R1 [B2:L1, U3:L0] % Derivation of unit clause U6: % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % q_2(a_0(),b_0()) ....... U4 % q_2(b_0(), a_0()) ....... R1 [B3:L0, U4:L0] % Derivation of unit clause U11: % ~q_2(c_0(),d_0()) ....... B0 % ~q_2(x1,x2) | ~q_2(x0,x1) | q_2(x0,x2) ....... B5 % ~q_2(x0, d_0()) | ~q_2(c_0(), x0) ....... R1 [B0:L0, B5:L2] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % ~q_2(c_0(), x0) | p_2(x0, d_0()) ....... R2 [R1:L0, B2:L1] % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % p_2(x0, d_0()) | ~q_2(x0, c_0()) ....... R3 [R2:L0, B3:L1] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % p_2(x0, d_0()) | p_2(x0, c_0()) ....... R4 [R3:L1, B2:L1] % ~p_2(x1,x2) | ~p_2(x0,x1) | p_2(x0,x2) ....... B4 % p_2(x0, c_0()) | ~p_2(d_0(), x1) | p_2(x0, x1) ....... R5 [R4:L0, B4:L1] % ~p_2(d_0(), c_0()) | p_2(x0, c_0()) ....... R6 [R5:L0, R5:L2] % p_2(d_0(),c_0()) ....... U5 % p_2(x0, c_0()) ....... R7 [R6:L0, U5:L0] % Derivation of unit clause U13: % ~q_2(c_0(),d_0()) ....... B0 % ~q_2(x1,x2) | ~q_2(x0,x1) | q_2(x0,x2) ....... B5 % ~q_2(x0, d_0()) | ~q_2(c_0(), x0) ....... R1 [B0:L0, B5:L2] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % ~q_2(x0, d_0()) | p_2(c_0(), x0) ....... R2 [R1:L1, B2:L1] % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % p_2(c_0(), x0) | ~q_2(d_0(), x0) ....... R3 [R2:L0, B3:L1] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % p_2(c_0(), x0) | p_2(d_0(), x0) ....... R4 [R3:L1, B2:L1] % ~p_2(x1,x2) | ~p_2(x0,x1) | p_2(x0,x2) ....... B4 % p_2(d_0(), x0) | ~p_2(x1, c_0()) | p_2(x1, x0) ....... R5 [R4:L0, B4:L0] % ~p_2(d_0(), c_0()) | p_2(d_0(), x0) ....... R6 [R5:L0, R5:L2] % p_2(d_0(),c_0()) ....... U5 % p_2(d_0(), x0) ....... R7 [R6:L0, U5:L0] % Derivation of unit clause U19: % ~q_2(c_0(),d_0()) ....... B0 % ~q_2(x1,x2) | ~q_2(x0,x1) | q_2(x0,x2) ....... B5 % ~q_2(x0, d_0()) | ~q_2(c_0(), x0) ....... R1 [B0:L0, B5:L2] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % ~q_2(x0, d_0()) | p_2(c_0(), x0) ....... R2 [R1:L1, B2:L1] % ~p_2(x1,x2) | ~p_2(x0,x1) | p_2(x0,x2) ....... B4 % ~q_2(x0, d_0()) | ~p_2(x1, c_0()) | p_2(x1, x0) ....... R3 [R2:L1, B4:L0] % p_2(x0,c_0()) ....... U11 % ~q_2(x0, d_0()) | p_2(x1, x0) ....... R4 [R3:L1, U11:L0] % ~q_2(x1,x2) | ~q_2(x0,x1) | q_2(x0,x2) ....... B5 % p_2(x0, x1) | ~q_2(x2, d_0()) | ~q_2(x1, x2) ....... R5 [R4:L0, B5:L2] % ~p_2(a_0(),b_0()) ....... U1 % ~q_2(x0, d_0()) | ~q_2(b_0(), x0) ....... R6 [R5:L0, U1:L0] % q_2(b_0(),a_0()) ....... U6 % ~q_2(a_0(), d_0()) ....... R7 [R6:L1, U6:L0] % Derivation of unit clause U21: % ~q_2(c_0(),d_0()) ....... B0 % ~q_2(x1,x2) | ~q_2(x0,x1) | q_2(x0,x2) ....... B5 % ~q_2(x0, d_0()) | ~q_2(c_0(), x0) ....... R1 [B0:L0, B5:L2] % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % ~q_2(c_0(), x0) | ~q_2(d_0(), x0) ....... R2 [R1:L0, B3:L1] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % ~q_2(c_0(), x0) | p_2(d_0(), x0) ....... R3 [R2:L1, B2:L1] % ~p_2(x1,x2) | ~p_2(x0,x1) | p_2(x0,x2) ....... B4 % ~q_2(c_0(), x0) | ~p_2(x1, d_0()) | p_2(x1, x0) ....... R4 [R3:L1, B4:L0] % ~p_2(a_0(),b_0()) ....... U1 % ~q_2(c_0(), b_0()) | ~p_2(a_0(), d_0()) ....... R5 [R4:L2, U1:L0] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % ~q_2(c_0(), b_0()) | q_2(a_0(), d_0()) ....... R6 [R5:L1, B2:L0] % ~q_2(a_0(),d_0()) ....... U19 % ~q_2(c_0(), b_0()) ....... R7 [R6:L1, U19:L0] % Derivation of unit clause U23: % ~q_2(c_0(),d_0()) ....... B0 % ~q_2(x1,x2) | ~q_2(x0,x1) | q_2(x0,x2) ....... B5 % ~q_2(x0, d_0()) | ~q_2(c_0(), x0) ....... R1 [B0:L0, B5:L2] % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % ~q_2(c_0(), x0) | ~q_2(d_0(), x0) ....... R2 [R1:L0, B3:L1] % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % ~q_2(c_0(), x0) | ~q_2(x0, d_0()) ....... R3 [R2:L1, B3:L1] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % ~q_2(c_0(), x0) | p_2(x0, d_0()) ....... R4 [R3:L1, B2:L1] % ~p_2(x1,x2) | ~p_2(x0,x1) | p_2(x0,x2) ....... B4 % ~q_2(c_0(), x0) | ~p_2(d_0(), x1) | p_2(x0, x1) ....... R5 [R4:L1, B4:L1] % p_2(d_0(),x0) ....... U13 % ~q_2(c_0(), x0) | p_2(x0, x1) ....... R6 [R5:L1, U13:L0] % ~p_2(a_0(),b_0()) ....... U1 % ~q_2(c_0(), a_0()) ....... R7 [R6:L1, U1:L0] % Derivation of unit clause U27: % ~p_2(a_0(),b_0()) ....... B1 % ~p_2(x1,x2) | ~p_2(x0,x1) | p_2(x0,x2) ....... B4 % ~p_2(x0, b_0()) | ~p_2(a_0(), x0) ....... R1 [B1:L0, B4:L2] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % ~p_2(a_0(), x0) | q_2(x0, b_0()) ....... R2 [R1:L0, B2:L0] % p_2(x0,x1) | q_2(x0,x1) ....... B2 % q_2(x0, b_0()) | q_2(a_0(), x0) ....... R3 [R2:L0, B2:L0] % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % q_2(a_0(), x0) | q_2(b_0(), x0) ....... R4 [R3:L0, B3:L0] % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % q_2(b_0(), x0) | q_2(x0, a_0()) ....... R5 [R4:L0, B3:L0] % ~q_2(x0,x1) | q_2(x1,x0) ....... B3 % q_2(x0, a_0()) | q_2(x0, b_0()) ....... R6 [R5:L0, B3:L0] % ~q_2(c_0(),a_0()) ....... U23 % q_2(c_0(), b_0()) ....... R7 [R6:L0, U23:L0] % Derivation of the empty clause: % q_2(c_0(),b_0()) ....... U27 % ~q_2(c_0(),b_0()) ....... U21 % [] ....... R1 [U27:L0, U21:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 264200 % resolvents: 238276 factors: 25924 % Number of unit clauses generated: 38817 % % unit clauses generated to total clauses generated: 14.69 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [1] = 5 [3] = 4 % [7] = 17 % Total = 28 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 38817 [2] = 178615 [3] = 46768 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] p_2 (+)12 (-)1 % [1] q_2 (+)6 (-)9 % ------------------ % Total: (+)18 (-)10 % Total number of unit clauses retained: 28 % Number of clauses skipped because of their length: 130355 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 264246 % Number of unification failures: 284062 % Number of unit to unit unification failures: 63 % N literal unification failure due to lookup root_id table: 304047 % N base clause resolution failure due to lookup table: 47436 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 14 % N unit clauses dropped because they exceeded max values: 32422 % N unit clauses dropped because too much nesting: 0 % 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: 2 % Max term depth in a unit clause: 1 % Number of states in UCFA table: 20 % Total number of terms of all unit clauses in table: 56 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.36 % Number of symbols (columns) in UCFA: 40 % Profile 2: Number of calls to: % ============================== % PTUnify() = 548308 % ConstructUnitClause() = 32448 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.04 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.60 secs % %------------------------------------------------------------------------------