%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN726-1 : TPTP v5.0.0. Released v2.5.0. % 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 11:33:45 EST 2010 % Result : Unsatisfiable 0.54s % Output : Refutation 0.54s % 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/SystemOnTPTP10028/SYN/SYN726-1+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 = 11] [nf = 0] [nu = 7] [ut = 6] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 69] [nf = 8] [nu = 26] [ut = 7] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 557] [nf = 58] [nu = 181] [ut = 11] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 3947] [nf = 382] [nu = 1070] [ut = 11] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 27732] [nf = 3020] [nu = 6254] [ut = 11] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 193380] [nf = 19928] [nu = 38267] [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: ~p_2(sk1_0(),sk2_0()) % B1: p_2(x0,x1) | q_2(x0,x1) % B2: ~q_2(x1,x0) | q_2(x0,x1) % B3: ~p_2(x2,x1) | ~p_2(x0,x2) | p_2(x0,x1) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f0 c2 t2 td1 b nc > ~q_2(sk3_0(),sk4_0()) % U2: < d1 v0 dv0 f0 c2 t2 td1 > q_2(sk1_0(),sk2_0()) % U4: < d1 v0 dv0 f0 c2 t2 td1 > q_2(sk2_0(),sk1_0()) % U5: < d1 v0 dv0 f0 c2 t2 td1 > ~q_2(sk4_0(),sk3_0()) % U11: < d7 v1 dv1 f0 c1 t2 td1 > q_2(sk1_0(),x0) % U12: < d7 v1 dv1 f0 c1 t2 td1 > q_2(x0,sk2_0()) % U17: < d7 v0 dv0 f0 c2 t2 td1 > ~p_2(sk1_0(),sk3_0()) % U19: < d7 v0 dv0 f0 c2 t2 td1 > ~p_2(sk4_0(),sk2_0()) % U22: < d7 v0 dv0 f0 c2 t2 td1 > ~q_2(sk4_0(),sk1_0()) % U28: < d7 v0 dv0 f0 c2 t2 td1 > q_2(sk4_0(),sk1_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % ~q_2(sk3_0(),sk4_0()) ....... U1 % Derivation of unit clause U2: % ~p_2(sk1_0(),sk2_0()) ....... B0 % p_2(x0,x1) | q_2(x0,x1) ....... B1 % q_2(sk1_0(), sk2_0()) ....... R1 [B0:L0, B1:L0] % Derivation of unit clause U4: % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % q_2(sk1_0(),sk2_0()) ....... U2 % q_2(sk2_0(), sk1_0()) ....... R1 [B2:L0, U2:L0] % Derivation of unit clause U5: % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % ~q_2(sk3_0(),sk4_0()) ....... U1 % ~q_2(sk4_0(), sk3_0()) ....... R1 [B2:L1, U1:L0] % Derivation of unit clause U11: % ~p_2(sk1_0(),sk2_0()) ....... B0 % ~p_2(x2,x1) | ~p_2(x0,x2) | p_2(x0,x1) ....... B3 % ~p_2(x0, sk2_0()) | ~p_2(sk1_0(), x0) ....... R1 [B0:L0, B3:L2] % p_2(x0,x1) | q_2(x0,x1) ....... B1 % ~p_2(sk1_0(), x0) | q_2(x0, sk2_0()) ....... R2 [R1:L0, B1:L0] % p_2(x0,x1) | q_2(x0,x1) ....... B1 % q_2(x0, sk2_0()) | q_2(sk1_0(), x0) ....... R3 [R2:L0, B1:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % q_2(sk1_0(), x0) | q_2(sk2_0(), x0) ....... R4 [R3:L0, B2:L0] % ~q_2(x2,x1) | ~q_2(x0,x2) | q_2(x0,x1) ....... B4 % q_2(sk1_0(), x0) | ~q_2(x1, sk2_0()) | q_2(x1, x0) ....... R5 [R4:L1, B4:L0] % ~q_2(sk1_0(), sk2_0()) | q_2(sk1_0(), x0) ....... R6 [R5:L0, R5:L2] % q_2(sk1_0(),sk2_0()) ....... U2 % q_2(sk1_0(), x0) ....... R7 [R6:L0, U2:L0] % Derivation of unit clause U12: % ~p_2(sk1_0(),sk2_0()) ....... B0 % ~p_2(x2,x1) | ~p_2(x0,x2) | p_2(x0,x1) ....... B3 % ~p_2(x0, sk2_0()) | ~p_2(sk1_0(), x0) ....... R1 [B0:L0, B3:L2] % p_2(x0,x1) | q_2(x0,x1) ....... B1 % ~p_2(sk1_0(), x0) | q_2(x0, sk2_0()) ....... R2 [R1:L0, B1:L0] % p_2(x0,x1) | q_2(x0,x1) ....... B1 % q_2(x0, sk2_0()) | q_2(sk1_0(), x0) ....... R3 [R2:L0, B1:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % q_2(x0, sk2_0()) | q_2(x0, sk1_0()) ....... R4 [R3:L1, B2:L0] % ~q_2(x2,x1) | ~q_2(x0,x2) | q_2(x0,x1) ....... B4 % q_2(x0, sk2_0()) | ~q_2(sk1_0(), x1) | q_2(x0, x1) ....... R5 [R4:L1, B4:L1] % ~q_2(sk1_0(), sk2_0()) | q_2(x0, sk2_0()) ....... R6 [R5:L0, R5:L2] % q_2(sk1_0(),sk2_0()) ....... U2 % q_2(x0, sk2_0()) ....... R7 [R6:L0, U2:L0] % Derivation of unit clause U17: % ~p_2(sk1_0(),sk2_0()) ....... B0 % ~p_2(x2,x1) | ~p_2(x0,x2) | p_2(x0,x1) ....... B3 % ~p_2(x0, sk2_0()) | ~p_2(sk1_0(), x0) ....... R1 [B0:L0, B3:L2] % p_2(x0,x1) | q_2(x0,x1) ....... B1 % ~p_2(sk1_0(), x0) | q_2(x0, sk2_0()) ....... R2 [R1:L0, B1:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % ~p_2(sk1_0(), x0) | q_2(sk2_0(), x0) ....... R3 [R2:L1, B2:L0] % ~q_2(x2,x1) | ~q_2(x0,x2) | q_2(x0,x1) ....... B4 % ~p_2(sk1_0(), x0) | ~q_2(x1, sk2_0()) | q_2(x1, x0) ....... R4 [R3:L1, B4:L0] % q_2(x0,sk2_0()) ....... U12 % ~p_2(sk1_0(), x0) | q_2(x1, x0) ....... R5 [R4:L1, U12:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % ~p_2(sk1_0(), x0) | q_2(x0, x1) ....... R6 [R5:L1, B2:L0] % ~q_2(sk3_0(),sk4_0()) ....... U1 % ~p_2(sk1_0(), sk3_0()) ....... R7 [R6:L1, U1:L0] % Derivation of unit clause U19: % ~p_2(sk1_0(),sk2_0()) ....... B0 % ~p_2(x2,x1) | ~p_2(x0,x2) | p_2(x0,x1) ....... B3 % ~p_2(x0, sk2_0()) | ~p_2(sk1_0(), x0) ....... R1 [B0:L0, B3:L2] % p_2(x0,x1) | q_2(x0,x1) ....... B1 % ~p_2(x0, sk2_0()) | q_2(sk1_0(), x0) ....... R2 [R1:L1, B1:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % ~p_2(x0, sk2_0()) | q_2(x0, sk1_0()) ....... R3 [R2:L1, B2:L0] % ~q_2(x2,x1) | ~q_2(x0,x2) | q_2(x0,x1) ....... B4 % ~p_2(x0, sk2_0()) | ~q_2(sk1_0(), x1) | q_2(x0, x1) ....... R4 [R3:L1, B4:L1] % q_2(sk1_0(),x0) ....... U11 % ~p_2(x0, sk2_0()) | q_2(x0, x1) ....... R5 [R4:L1, U11:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % ~p_2(x0, sk2_0()) | q_2(x1, x0) ....... R6 [R5:L1, B2:L0] % ~q_2(sk3_0(),sk4_0()) ....... U1 % ~p_2(sk4_0(), sk2_0()) ....... R7 [R6:L1, U1:L0] % Derivation of unit clause U22: % p_2(x0,x1) | q_2(x0,x1) ....... B1 % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % p_2(x0, x1) | q_2(x1, x0) ....... R1 [B1:L1, B2:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % p_2(x0, x1) | q_2(x0, x1) ....... R2 [R1:L1, B2:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % p_2(x0, x1) | q_2(x1, x0) ....... R3 [R2:L1, B2:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % p_2(x0, x1) | q_2(x0, x1) ....... R4 [R3:L1, B2:L0] % ~q_2(x2,x1) | ~q_2(x0,x2) | q_2(x0,x1) ....... B4 % p_2(x0, x1) | ~q_2(x2, x0) | q_2(x2, x1) ....... R5 [R4:L1, B4:L0] % ~p_2(sk1_0(),sk3_0()) ....... U17 % ~q_2(x0, sk1_0()) | q_2(x0, sk3_0()) ....... R6 [R5:L0, U17:L0] % ~q_2(sk4_0(),sk3_0()) ....... U5 % ~q_2(sk4_0(), sk1_0()) ....... R7 [R6:L1, U5:L0] % Derivation of unit clause U28: % p_2(x0,x1) | q_2(x0,x1) ....... B1 % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % p_2(x0, x1) | q_2(x1, x0) ....... R1 [B1:L1, B2:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % p_2(x0, x1) | q_2(x0, x1) ....... R2 [R1:L1, B2:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % p_2(x0, x1) | q_2(x1, x0) ....... R3 [R2:L1, B2:L0] % ~q_2(x1,x0) | q_2(x0,x1) ....... B2 % p_2(x0, x1) | q_2(x0, x1) ....... R4 [R3:L1, B2:L0] % ~q_2(x2,x1) | ~q_2(x0,x2) | q_2(x0,x1) ....... B4 % p_2(x0, x1) | ~q_2(x1, x2) | q_2(x0, x2) ....... R5 [R4:L1, B4:L1] % ~p_2(sk4_0(),sk2_0()) ....... U19 % ~q_2(sk2_0(), x0) | q_2(sk4_0(), x0) ....... R6 [R5:L0, U19:L0] % q_2(sk2_0(),sk1_0()) ....... U4 % q_2(sk4_0(), sk1_0()) ....... R7 [R6:L0, U4:L0] % Derivation of the empty clause: % q_2(sk4_0(),sk1_0()) ....... U28 % ~q_2(sk4_0(),sk1_0()) ....... U22 % [] ....... R1 [U28:L0, U22:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 229980 % resolvents: 209149 factors: 20831 % Number of unit clauses generated: 38854 % % unit clauses generated to total clauses generated: 16.89 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [1] = 4 [2] = 1 [3] = 4 % [7] = 18 % Total = 29 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 38854 [2] = 151786 [3] = 39340 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] p_2 (+)7 (-)5 % [1] q_2 (+)13 (-)4 % ------------------ % Total: (+)20 (-)9 % Total number of unit clauses retained: 29 % Number of clauses skipped because of their length: 111722 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 230025 % Number of unification failures: 227348 % Number of unit to unit unification failures: 85 % N literal unification failure due to lookup root_id table: 261860 % N base clause resolution failure due to lookup table: 40917 % 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: 32456 % 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: 58 % 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: 0.34 % Number of symbols (columns) in UCFA: 40 % Profile 2: Number of calls to: % ============================== % PTUnify() = 457373 % ConstructUnitClause() = 32483 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.04 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.53 secs % %------------------------------------------------------------------------------