%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : MSC015-1.005 : TPTP v5.0.0. Released v3.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art02.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 02:01:27 EST 2010 % Result : Unsatisfiable 0.14s % Output : Refutation 0.14s % 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/SystemOnTPTP15440/MSC/MSC015-1.005+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 = 14] [nf = 0] [nu = 6] [ut = 6] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 62] [nf = 0] [nu = 26] [ut = 12] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 224] [nf = 0] [nu = 112] [ut = 29] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~p_5(s1_0(),s1_0(),s1_0(),s1_0(),s1_0()) % B1: p_5(s0_0(),s0_0(),s0_0(),s0_0(),s0_0()) % B2: ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) % B3: ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) % B4: ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0()) % B6: ~p_5(s0_0(),s1_0(),s1_0(),s1_0(),s1_0()) | p_5(s1_0(),s0_0(),s0_0(),s0_0(),s0_0()) % Unit Clauses: % -------------- % U2: < d1 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s1_0(),s1_0(),s1_0(),s0_0()) % U3: < d1 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s0_0(),s0_0(),s0_0(),s1_0()) % U4: < d1 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s0_0(),s0_0(),s1_0(),s0_0()) % U6: < d2 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s1_0(),s1_0(),s0_0(),s0_0()) % U8: < d2 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s0_0(),s1_0(),s0_0(),s0_0()) % U9: < d2 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s1_0(),s0_0(),s1_0(),s0_0()) % U12: < d3 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s0_0(),s1_0(),s1_0(),s1_0()) % U15: < d3 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s0_0(),s1_0(),s1_0(),s1_0()) % U16: < d3 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s1_0(),s0_0(),s1_0(),s0_0()) % U17: < d3 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s0_0(),s1_0(),s0_0(),s0_0()) % U22: < d3 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s1_0(),s1_0(),s0_0(),s1_0()) % U27: < d3 v0 dv0 f0 c5 t5 td1 > p_5(s1_0(),s0_0(),s0_0(),s0_0(),s0_0()) % U32: < d4 v0 dv0 f0 c5 t5 td1 > p_5(s1_0(),s0_0(),s1_0(),s0_0(),s0_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % ~p_5(s1_0(),s1_0(),s1_0(),s1_0(),s1_0()) ....... B0 % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(s1_0(), s1_0(), s1_0(), s1_0(), s0_0()) ....... R1 [B0:L0, B2:L1] % Derivation of unit clause U3: % p_5(s0_0(),s0_0(),s0_0(),s0_0(),s0_0()) ....... B1 % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % p_5(s0_0(), s0_0(), s0_0(), s0_0(), s1_0()) ....... R1 [B1:L0, B2:L0] % Derivation of unit clause U4: % ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3 % p_5(s0_0(),s0_0(),s0_0(),s0_0(),s1_0()) ....... U3 % p_5(s0_0(), s0_0(), s0_0(), s1_0(), s0_0()) ....... R1 [B3:L0, U3:L0] % Derivation of unit clause U6: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3 % ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0] % ~p_5(s1_0(),s1_0(),s1_0(),s1_0(),s0_0()) ....... U2 % ~p_5(s1_0(), s1_0(), s1_0(), s0_0(), s0_0()) ....... R2 [R1:L1, U2:L0] % Derivation of unit clause U8: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0()) ....... B4 % ~p_5(x0, x1, s0_0(), s1_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s0_0()) ....... R1 [B2:L1, B4:L0] % p_5(s0_0(),s0_0(),s0_0(),s1_0(),s0_0()) ....... U4 % p_5(s0_0(), s0_0(), s1_0(), s0_0(), s0_0()) ....... R2 [R1:L0, U4:L0] % Derivation of unit clause U9: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0()) ....... B4 % ~p_5(x0, x1, s0_0(), s1_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s0_0()) ....... R1 [B2:L1, B4:L0] % ~p_5(s1_0(),s1_0(),s1_0(),s0_0(),s0_0()) ....... U6 % ~p_5(s1_0(), s1_0(), s0_0(), s1_0(), s0_0()) ....... R2 [R1:L1, U6:L0] % Derivation of unit clause U12: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3 % ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0] % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s1_0()) ....... R2 [R1:L1, B2:L0] % p_5(s0_0(),s0_0(),s1_0(),s0_0(),s0_0()) ....... U8 % p_5(s0_0(), s0_0(), s1_0(), s1_0(), s1_0()) ....... R3 [R2:L0, U8:L0] % Derivation of unit clause U15: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3 % ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0] % ~p_5(x0,s0_0(),s1_0(),s1_0(),s1_0()) | p_5(x0,s1_0(),s0_0(),s0_0(),s0_0()) ....... B5 % p_5(x0, s1_0(), s0_0(), s1_0(), s0_0()) | ~p_5(x0, s0_0(), s1_0(), s1_0(), s1_0()) ....... R2 [R1:L0, B5:L1] % ~p_5(s1_0(),s1_0(),s0_0(),s1_0(),s0_0()) ....... U9 % ~p_5(s1_0(), s0_0(), s1_0(), s1_0(), s1_0()) ....... R3 [R2:L0, U9:L0] % Derivation of unit clause U16: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3 % ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0] % ~p_5(x0,s0_0(),s1_0(),s1_0(),s1_0()) | p_5(x0,s1_0(),s0_0(),s0_0(),s0_0()) ....... B5 % p_5(x0, s1_0(), s0_0(), s1_0(), s0_0()) | ~p_5(x0, s0_0(), s1_0(), s1_0(), s1_0()) ....... R2 [R1:L0, B5:L1] % p_5(s0_0(),s0_0(),s1_0(),s1_0(),s1_0()) ....... U12 % p_5(s0_0(), s1_0(), s0_0(), s1_0(), s0_0()) ....... R3 [R2:L1, U12:L0] % Derivation of unit clause U17: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3 % p_5(x0, x1, x2, s1_0(), s1_0()) | ~p_5(x0, x1, x2, s0_0(), s1_0()) ....... R1 [B2:L0, B3:L1] % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % p_5(x0, x1, x2, s1_0(), s1_0()) | ~p_5(x0, x1, x2, s0_0(), s0_0()) ....... R2 [R1:L1, B2:L1] % ~p_5(s1_0(),s0_0(),s1_0(),s1_0(),s1_0()) ....... U15 % ~p_5(s1_0(), s0_0(), s1_0(), s0_0(), s0_0()) ....... R3 [R2:L0, U15:L0] % Derivation of unit clause U22: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0()) ....... B4 % ~p_5(x0, x1, s0_0(), s1_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s0_0()) ....... R1 [B2:L1, B4:L0] % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0, x1, s0_0(), s1_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s1_0()) ....... R2 [R1:L1, B2:L0] % p_5(s0_0(),s1_0(),s0_0(),s1_0(),s0_0()) ....... U16 % p_5(s0_0(), s1_0(), s1_0(), s0_0(), s1_0()) ....... R3 [R2:L0, U16:L0] % Derivation of unit clause U27: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(s0_0(),s1_0(),s1_0(),s1_0(),s1_0()) | p_5(s1_0(),s0_0(),s0_0(),s0_0(),s0_0()) ....... B6 % ~p_5(s0_0(), s1_0(), s1_0(), s1_0(), s0_0()) | p_5(s1_0(), s0_0(), s0_0(), s0_0(), s0_0()) ....... R1 [B2:L1, B6:L0] % ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3 % p_5(s1_0(), s0_0(), s0_0(), s0_0(), s0_0()) | ~p_5(s0_0(), s1_0(), s1_0(), s0_0(), s1_0()) ....... R2 [R1:L0, B3:L1] % p_5(s0_0(),s1_0(),s1_0(),s0_0(),s1_0()) ....... U22 % p_5(s1_0(), s0_0(), s0_0(), s0_0(), s0_0()) ....... R3 [R2:L1, U22:L0] % Derivation of unit clause U32: % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3 % ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0] % ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2 % ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s1_0()) ....... R2 [R1:L1, B2:L0] % ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0()) ....... B4 % ~p_5(x0, x1, s0_0(), s0_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s0_0()) ....... R3 [R2:L1, B4:L0] % p_5(s1_0(),s0_0(),s0_0(),s0_0(),s0_0()) ....... U27 % p_5(s1_0(), s0_0(), s1_0(), s0_0(), s0_0()) ....... R4 [R3:L0, U27:L0] % Derivation of the empty clause: % p_5(s1_0(),s0_0(),s1_0(),s0_0(),s0_0()) ....... U32 % ~p_5(s1_0(),s0_0(),s1_0(),s0_0(),s0_0()) ....... U17 % [] ....... R1 [U32:L0, U17:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 272 % resolvents: 272 factors: 0 % Number of unit clauses generated: 153 % % unit clauses generated to total clauses generated: 56.25 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [1] = 4 [2] = 6 [3] = 17 % [4] = 4 % Total = 33 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 153 [2] = 119 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p_5 (+)15 (-)18 % ------------------ % Total: (+)15 (-)18 % Total number of unit clauses retained: 33 % Number of clauses skipped because of their length: 0 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 303 % Number of unification failures: 460 % Number of unit to unit unification failures: 260 % N literal unification failure due to lookup root_id table: 750 % N base clause resolution failure due to lookup table: 266 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 15 % N unit clauses dropped because they exceeded max values: 33 % 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: 5 % Max term depth in a unit clause: 1 % Number of states in UCFA table: 46 % Total number of terms of all unit clauses in table: 165 % 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: 0.28 % Number of symbols (columns) in UCFA: 37 % Profile 2: Number of calls to: % ============================== % PTUnify() = 763 % ConstructUnitClause() = 64 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.14 secs % %------------------------------------------------------------------------------