%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN250-1 : TPTP v5.0.0. Released v1.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art03.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 08:46:00 EST 2010 % Result : Unsatisfiable 0.67s % Output : Refutation 0.67s % 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/SystemOnTPTP30923/SYN/SYN250-1+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 = 1 secs [nr = 832] [nf = 0] [nu = 404] [ut = 133] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 6532] [nf = 80] [nu = 2302] [ut = 244] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 104468] [nf = 639] [nu = 37291] [ut = 429] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~m1_3(e_0(),a_0(),a_0()) % B1: m0_3(x0,d_0(),x1) % B2: p0_2(b_0(),x0) % B19: n0_2(b_0(),a_0()) % B30: q0_2(b_0(),b_0()) % B47: ~n0_2(x1,x0) | k1_1(x0) % B137: ~m1_3(x2,x3,x1) | ~m1_3(x2,x1,x0) | m1_3(x0,x1,x1) % B144: ~r0_1(x0) | ~p0_2(x2,x1) | m1_3(x0,x1,x0) % B312: ~q0_2(x0,x1) | ~m0_3(a_0(),x2,a_0()) | ~m1_3(x1,c_0(),x1) | m1_3(x0,a_0(),x1) % B318: ~k1_1(x1) | ~k1_1(a_0()) | ~q0_2(x0,x0) | m1_3(x0,x1,x1) % Unit Clauses: % -------------- % U9: < d0 v0 dv0 f0 c1 t1 td1 b > r0_1(e_0()) % U29: < d0 v0 dv0 f0 c2 t2 td1 b > q0_2(b_0(),e_0()) % U73: < d1 v0 dv0 f0 c1 t1 td1 > k1_1(a_0()) % U155: < d2 v1 dv1 f0 c2 t3 td1 > m1_3(e_0(),x0,e_0()) % U256: < d3 v0 dv0 f0 c3 t3 td1 > m1_3(b_0(),a_0(),e_0()) % U370: < d3 v0 dv0 f0 c3 t3 td1 > m1_3(b_0(),a_0(),a_0()) % U431: < d4 v0 dv0 f0 c3 t3 td1 > ~m1_3(b_0(),a_0(),e_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U9: % r0_1(e_0()) ....... U9 % Derivation of unit clause U29: % q0_2(b_0(),e_0()) ....... U29 % Derivation of unit clause U73: % n0_2(b_0(),a_0()) ....... B19 % ~n0_2(x1,x0) | k1_1(x0) ....... B47 % k1_1(a_0()) ....... R1 [B19:L0, B47:L0] % Derivation of unit clause U155: % p0_2(b_0(),x0) ....... B2 % ~r0_1(x0) | ~p0_2(x2,x1) | m1_3(x0,x1,x0) ....... B144 % ~r0_1(x0) | m1_3(x0, x1, x0) ....... R1 [B2:L0, B144:L1] % r0_1(e_0()) ....... U9 % m1_3(e_0(), x0, e_0()) ....... R2 [R1:L0, U9:L0] % Derivation of unit clause U256: % m0_3(x0,d_0(),x1) ....... B1 % ~q0_2(x0,x1) | ~m0_3(a_0(),x2,a_0()) | ~m1_3(x1,c_0(),x1) | m1_3(x0,a_0(),x1) ....... B312 % ~q0_2(x0, x1) | ~m1_3(x1, c_0(), x1) | m1_3(x0, a_0(), x1) ....... R1 [B1:L0, B312:L1] % q0_2(b_0(),e_0()) ....... U29 % ~m1_3(e_0(), c_0(), e_0()) | m1_3(b_0(), a_0(), e_0()) ....... R2 [R1:L0, U29:L0] % m1_3(e_0(),x0,e_0()) ....... U155 % m1_3(b_0(), a_0(), e_0()) ....... R3 [R2:L0, U155:L0] % Derivation of unit clause U370: % q0_2(b_0(),b_0()) ....... B30 % ~k1_1(x1) | ~k1_1(a_0()) | ~q0_2(x0,x0) | m1_3(x0,x1,x1) ....... B318 % ~k1_1(x0) | ~k1_1(a_0()) | m1_3(b_0(), x0, x0) ....... R1 [B30:L0, B318:L2] % ~k1_1(a_0()) | m1_3(b_0(), a_0(), a_0()) ....... R2 [R1:L1, R1:L0] % k1_1(a_0()) ....... U73 % m1_3(b_0(), a_0(), a_0()) ....... R3 [R2:L0, U73:L0] % Derivation of unit clause U431: % ~m1_3(e_0(),a_0(),a_0()) ....... B0 % ~m1_3(x2,x3,x1) | ~m1_3(x2,x1,x0) | m1_3(x0,x1,x1) ....... B137 % ~m1_3(x0, x1, a_0()) | ~m1_3(x0, a_0(), e_0()) ....... R1 [B0:L0, B137:L2] % ~m1_3(x2,x3,x1) | ~m1_3(x2,x1,x0) | m1_3(x0,x1,x1) ....... B137 % ~m1_3(x0, a_0(), e_0()) | ~m1_3(x1, x2, a_0()) | ~m1_3(x1, a_0(), x0) ....... R2 [R1:L0, B137:L2] % m1_3(e_0(),x0,e_0()) ....... U155 % ~m1_3(x0, x1, a_0()) | ~m1_3(x0, a_0(), e_0()) ....... R3 [R2:L0, U155:L0] % m1_3(b_0(),a_0(),a_0()) ....... U370 % ~m1_3(b_0(), a_0(), e_0()) ....... R4 [R3:L0, U370:L0] % Derivation of the empty clause: % ~m1_3(b_0(),a_0(),e_0()) ....... U431 % m1_3(b_0(),a_0(),e_0()) ....... U256 % [] ....... R1 [U431:L0, U256:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 105184 % resolvents: 104541 factors: 643 % Number of unit clauses generated: 37332 % % unit clauses generated to total clauses generated: 35.49 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 39 [1] = 94 [2] = 111 [3] = 185 % [4] = 3 % Total = 432 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 37332 [2] = 55251 [3] = 12601 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] k0_1 (+)2 (-)1 % [1] k1_1 (+)5 (-)0 % [2] k4_1 (+)1 (-)0 % [3] k5_1 (+)6 (-)0 % [4] l0_1 (+)2 (-)0 % [5] l4_1 (+)6 (-)0 % [6] l5_1 (+)0 (-)0 % [7] m2_1 (+)2 (-)0 % [8] n2_1 (+)6 (-)0 % [9] n3_1 (+)6 (-)0 % [10] r0_1 (+)2 (-)0 % [11] r1_1 (+)5 (-)0 % [12] r2_1 (+)0 (-)0 % [13] r4_1 (+)6 (-)0 % [14] s0_1 (+)2 (-)0 % [15] s1_1 (+)5 (-)0 % [16] s2_1 (+)3 (-)0 % [17] s4_1 (+)5 (-)0 % [18] s5_1 (+)0 (-)0 % [19] k2_2 (+)6 (-)0 % [20] l1_2 (+)7 (-)0 % [21] l2_2 (+)14 (-)0 % [22] l3_2 (+)12 (-)0 % [23] m4_2 (+)0 (-)0 % [24] m5_2 (+)0 (-)0 % [25] n0_2 (+)8 (-)0 % [26] n4_2 (+)6 (-)0 % [27] n5_2 (+)6 (-)0 % [28] p0_2 (+)4 (-)0 % [29] q0_2 (+)8 (-)2 % [30] q3_2 (+)4 (-)0 % [31] q4_2 (+)0 (-)0 % [32] q5_2 (+)0 (-)0 % [33] r5_2 (+)0 (-)0 % [34] s3_2 (+)2 (-)0 % [35] k3_3 (+)30 (-)0 % [36] m0_3 (+)10 (-)1 % [37] m1_3 (+)35 (-)5 % [38] m3_3 (+)7 (-)0 % [39] n1_3 (+)32 (-)0 % [40] p1_3 (+)29 (-)0 % [41] p2_3 (+)32 (-)0 % [42] p3_3 (+)20 (-)0 % [43] p4_3 (+)10 (-)0 % [44] p5_3 (+)1 (-)0 % [45] q1_3 (+)42 (-)0 % [46] q2_3 (+)20 (-)0 % [47] r3_3 (+)14 (-)0 % ------------------ % Total: (+)423 (-)9 % Total number of unit clauses retained: 432 % Number of clauses skipped because of their length: 1463157 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 16909 % Number of successful unifications: 105197 % Number of unification failures: 132603 % Number of unit to unit unification failures: 194 % N literal unification failure due to lookup root_id table: 514327 % N base clause resolution failure due to lookup table: 1648299 % N UC-BCL resolution dropped due to lookup table: 501 % Max entries in substitution set: 10 % N unit clauses dropped because they exceeded max values: 34152 % 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: 3 % Max term depth in a unit clause: 1 % Number of states in UCFA table: 399 % Total number of terms of all unit clauses in table: 1087 % 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: 0.37 % Number of symbols (columns) in UCFA: 87 % Profile 2: Number of calls to: % ============================== % PTUnify() = 237800 % ConstructUnitClause() = 34545 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.02 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.67 secs % %------------------------------------------------------------------------------