%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN163-1 : TPTP v5.0.0. Released v1.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art06.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 08:38:29 EST 2010 % Result : Unsatisfiable 124.52s % Output : Refutation 124.52s % 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/SystemOnTPTP27927/SYN/SYN163-1+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 = 830] [nf = 0] [nu = 404] [ut = 133] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 6508] [nf = 78] [nu = 2294] [ut = 241] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 104266] [nf = 630] [nu = 37190] [ut = 424] % Looking for a proof at depth = 4 ... % t = 5 secs [nr = 1173228] [nf = 10797] [nu = 428380] [ut = 513] % Looking for a proof at depth = 5 ... % t = 64 secs [nr = 13660167] [nf = 135134] [nu = 4971247] [ut = 598] % Looking for a proof at depth = 6 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 122 secs [nr = 25381113] [nf = 248343] [nu = 8936363] [ut = 598] % Looking for a proof at depth = 2 ... % t = 122 secs [nr = 25388190] [nf = 248421] [nu = 8938868] [ut = 598] % Looking for a proof at depth = 3 ... % t = 122 secs [nr = 25502168] [nf = 249197] [nu = 8982775] [ut = 604] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~n5_2(e_0(),a_0()) % B1: m0_3(x0,d_0(),x1) % B2: p0_2(b_0(),x0) % B4: m0_3(a_0(),x0,a_0()) % B5: k0_1(e_0()) % B9: r0_1(e_0()) % B13: n0_2(d_0(),e_0()) % B16: n0_2(e_0(),e_0()) % B19: n0_2(b_0(),a_0()) % B20: n0_2(c_0(),d_0()) % B39: ~p1_3(x1,x2,x0) | n2_1(x0) % B40: ~p2_3(x1,x2,x0) | n3_1(x0) % B44: ~m0_3(x1,x2,x0) | q1_3(x0,x0,x0) % B48: ~n0_2(x1,x0) | l1_2(x0,x0) % B51: ~k2_2(x1,x0) | k3_3(x0,x0,x1) % B52: ~l1_2(x1,x0) | p2_3(x0,x0,x0) % B53: ~l1_2(x1,x0) | q2_3(x0,x0,x1) % B57: ~p0_2(x1,x0) | p1_3(x0,x0,x0) % B63: ~q1_3(x1,x0,x0) | k2_2(x0,x0) % B64: ~k3_3(x0,x0,x1) | p4_3(x0,x1,x0) % B86: ~n2_1(x0) | m3_3(x0,x0,x0) % B162: ~n0_2(x2,x0) | ~q2_3(x2,x0,x1) | q3_2(x0,x1) % B196: ~k4_1(x1) | ~m3_3(x0,x0,x0) | n4_2(x0,x0) % B200: ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1) % B211: ~n5_2(x1,x0) | ~m0_3(x1,x0,x1) | n5_2(x0,x0) % B270: ~k3_3(x2,x2,x0) | ~m3_3(x3,x4,x3) | ~q2_3(x3,x1,x0) | q4_2(x0,x1) % B271: ~n3_1(x0) | ~p0_2(x3,x0) | ~q3_2(x1,x2) | r4_1(x0) % B275: ~r0_1(x3) | ~p0_2(x2,x0) | ~m0_3(x1,x0,x2) | l1_2(x0,x1) % B340: ~n3_1(e_0()) | ~n0_2(c_0(),d_0()) | ~q3_2(e_0(),b_0()) | k4_1(c_0()) % B347: ~n4_2(x0,x3) | ~n5_2(x4,x1) | ~q4_2(x2,x3) | ~p4_3(x4,x4,x1) | n5_2(x0,x1) % Unit Clauses: % -------------- % U23: < d0 v0 dv0 f0 c2 t2 td1 b > p0_2(c_0(),b_0()) % U34: < d0 v0 dv0 f0 c3 t3 td1 b > m0_3(e_0(),b_0(),c_0()) % U40: < d1 v3 dv1 f0 c0 t3 td1 > q1_3(x0,x0,x0) % U44: < d1 v3 dv1 f0 c0 t3 td1 > p1_3(x0,x0,x0) % U66: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(e_0(),e_0()) % U74: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(a_0(),a_0()) % U88: < d1 v1 dv1 f0 c0 t1 td1 > n2_1(x0) % U99: < d1 v0 dv0 f0 c3 t3 td1 > q2_3(e_0(),e_0(),e_0()) % U104: < d1 v2 dv1 f0 c0 t2 td1 > k2_2(x0,x0) % U119: < d1 v3 dv1 f0 c0 t3 td1 > m3_3(x0,x0,x0) % U164: < d2 v1 dv1 f0 c2 t3 td1 > q2_3(x0,e_0(),e_0()) % U197: < d2 v0 dv0 f0 c2 t2 td1 > q3_2(e_0(),e_0()) % U215: < d2 v0 dv0 f0 c1 t1 td1 > n3_1(e_0()) % U218: < d2 v0 dv0 f0 c1 t1 td1 > n3_1(a_0()) % U234: < d2 v3 dv1 f0 c0 t3 td1 > p4_3(x0,x0,x0) % U259: < d3 v0 dv0 f0 c1 t1 td1 > r4_1(a_0()) % U282: < d3 v0 dv0 f0 c2 t2 td1 > n5_2(a_0(),a_0()) % U326: < d3 v0 dv0 f0 c2 t2 td1 > l1_2(b_0(),e_0()) % U340: < d3 v0 dv0 f0 c2 t2 td1 > q3_2(e_0(),b_0()) % U362: < d3 v0 dv0 f0 c1 t1 td1 > k4_1(c_0()) % U412: < d3 v2 dv1 f0 c0 t2 td1 > n4_2(x0,x0) % U604: < d4 v1 dv1 f0 c1 t2 td1 > ~q4_2(x0,e_0()) % U711: < d4 v0 dv0 f0 c2 t2 td1 > q4_2(e_0(),e_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U23: % p0_2(c_0(),b_0()) ....... U23 % Derivation of unit clause U34: % m0_3(e_0(),b_0(),c_0()) ....... U34 % Derivation of unit clause U40: % m0_3(x0,d_0(),x1) ....... B1 % ~m0_3(x1,x2,x0) | q1_3(x0,x0,x0) ....... B44 % q1_3(x0, x0, x0) ....... R1 [B1:L0, B44:L0] % Derivation of unit clause U44: % p0_2(b_0(),x0) ....... B2 % ~p0_2(x1,x0) | p1_3(x0,x0,x0) ....... B57 % p1_3(x0, x0, x0) ....... R1 [B2:L0, B57:L0] % Derivation of unit clause U66: % n0_2(d_0(),e_0()) ....... B13 % ~n0_2(x1,x0) | l1_2(x0,x0) ....... B48 % l1_2(e_0(), e_0()) ....... R1 [B13:L0, B48:L0] % Derivation of unit clause U74: % n0_2(b_0(),a_0()) ....... B19 % ~n0_2(x1,x0) | l1_2(x0,x0) ....... B48 % l1_2(a_0(), a_0()) ....... R1 [B19:L0, B48:L0] % Derivation of unit clause U88: % ~p1_3(x1,x2,x0) | n2_1(x0) ....... B39 % p1_3(x0,x0,x0) ....... U44 % n2_1(x0) ....... R1 [B39:L0, U44:L0] % Derivation of unit clause U99: % ~l1_2(x1,x0) | q2_3(x0,x0,x1) ....... B53 % l1_2(e_0(),e_0()) ....... U66 % q2_3(e_0(), e_0(), e_0()) ....... R1 [B53:L0, U66:L0] % Derivation of unit clause U104: % ~q1_3(x1,x0,x0) | k2_2(x0,x0) ....... B63 % q1_3(x0,x0,x0) ....... U40 % k2_2(x0, x0) ....... R1 [B63:L0, U40:L0] % Derivation of unit clause U119: % ~n2_1(x0) | m3_3(x0,x0,x0) ....... B86 % n2_1(x0) ....... U88 % m3_3(x0, x0, x0) ....... R1 [B86:L0, U88:L0] % Derivation of unit clause U164: % k0_1(e_0()) ....... B5 % ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1) ....... B200 % ~p1_3(x0, x0, x0) | q2_3(x0, e_0(), e_0()) ....... R1 [B5:L0, B200:L0] % p1_3(x0,x0,x0) ....... U44 % q2_3(x0, e_0(), e_0()) ....... R2 [R1:L0, U44:L0] % Derivation of unit clause U197: % n0_2(d_0(),e_0()) ....... B13 % ~n0_2(x2,x0) | ~q2_3(x2,x0,x1) | q3_2(x0,x1) ....... B162 % ~q2_3(d_0(), e_0(), x0) | q3_2(e_0(), x0) ....... R1 [B13:L0, B162:L0] % q2_3(x0,e_0(),e_0()) ....... U164 % q3_2(e_0(), e_0()) ....... R2 [R1:L0, U164:L0] % Derivation of unit clause U215: % ~p2_3(x1,x2,x0) | n3_1(x0) ....... B40 % ~l1_2(x1,x0) | p2_3(x0,x0,x0) ....... B52 % n3_1(x0) | ~l1_2(x1, x0) ....... R1 [B40:L0, B52:L1] % l1_2(e_0(),e_0()) ....... U66 % n3_1(e_0()) ....... R2 [R1:L1, U66:L0] % Derivation of unit clause U218: % ~p2_3(x1,x2,x0) | n3_1(x0) ....... B40 % ~l1_2(x1,x0) | p2_3(x0,x0,x0) ....... B52 % n3_1(x0) | ~l1_2(x1, x0) ....... R1 [B40:L0, B52:L1] % l1_2(a_0(),a_0()) ....... U74 % n3_1(a_0()) ....... R2 [R1:L1, U74:L0] % Derivation of unit clause U234: % ~k2_2(x1,x0) | k3_3(x0,x0,x1) ....... B51 % ~k3_3(x0,x0,x1) | p4_3(x0,x1,x0) ....... B64 % ~k2_2(x0, x1) | p4_3(x1, x0, x1) ....... R1 [B51:L1, B64:L0] % k2_2(x0,x0) ....... U104 % p4_3(x0, x0, x0) ....... R2 [R1:L0, U104:L0] % Derivation of unit clause U259: % p0_2(b_0(),x0) ....... B2 % ~n3_1(x0) | ~p0_2(x3,x0) | ~q3_2(x1,x2) | r4_1(x0) ....... B271 % ~n3_1(x0) | ~q3_2(x1, x2) | r4_1(x0) ....... R1 [B2:L0, B271:L1] % n3_1(a_0()) ....... U218 % ~q3_2(x0, x1) | r4_1(a_0()) ....... R2 [R1:L0, U218:L0] % q3_2(e_0(),e_0()) ....... U197 % r4_1(a_0()) ....... R3 [R2:L0, U197:L0] % Derivation of unit clause U282: % m0_3(a_0(),x0,a_0()) ....... B4 % ~n5_2(x1,x0) | ~m0_3(x1,x0,x1) | n5_2(x0,x0) ....... B211 % ~n5_2(a_0(), x0) | n5_2(x0, x0) ....... R1 [B4:L0, B211:L1] % ~r4_1(x0) | n5_2(x0,x0) ....... B80 % n5_2(a_0(), a_0()) | ~r4_1(a_0()) ....... R2 [R1:L0, B80:L1] % r4_1(a_0()) ....... U259 % n5_2(a_0(), a_0()) ....... R3 [R2:L1, U259:L0] % Derivation of unit clause U326: % r0_1(e_0()) ....... B9 % ~r0_1(x3) | ~p0_2(x2,x0) | ~m0_3(x1,x0,x2) | l1_2(x0,x1) ....... B275 % ~p0_2(x0, x1) | ~m0_3(x2, x1, x0) | l1_2(x1, x2) ....... R1 [B9:L0, B275:L0] % p0_2(c_0(),b_0()) ....... U23 % ~m0_3(x0, b_0(), c_0()) | l1_2(b_0(), x0) ....... R2 [R1:L0, U23:L0] % m0_3(e_0(),b_0(),c_0()) ....... U34 % l1_2(b_0(), e_0()) ....... R3 [R2:L0, U34:L0] % Derivation of unit clause U340: % n0_2(e_0(),e_0()) ....... B16 % ~n0_2(x2,x0) | ~q2_3(x2,x0,x1) | q3_2(x0,x1) ....... B162 % ~q2_3(e_0(), e_0(), x0) | q3_2(e_0(), x0) ....... R1 [B16:L0, B162:L0] % ~l1_2(x1,x0) | q2_3(x0,x0,x1) ....... B53 % q3_2(e_0(), x0) | ~l1_2(x0, e_0()) ....... R2 [R1:L0, B53:L1] % l1_2(b_0(),e_0()) ....... U326 % q3_2(e_0(), b_0()) ....... R3 [R2:L1, U326:L0] % Derivation of unit clause U362: % n0_2(c_0(),d_0()) ....... B20 % ~n3_1(e_0()) | ~n0_2(c_0(),d_0()) | ~q3_2(e_0(),b_0()) | k4_1(c_0()) ....... B340 % ~n3_1(e_0()) | ~q3_2(e_0(), b_0()) | k4_1(c_0()) ....... R1 [B20:L0, B340:L1] % n3_1(e_0()) ....... U215 % ~q3_2(e_0(), b_0()) | k4_1(c_0()) ....... R2 [R1:L0, U215:L0] % q3_2(e_0(),b_0()) ....... U340 % k4_1(c_0()) ....... R3 [R2:L0, U340:L0] % Derivation of unit clause U412: % ~n2_1(x0) | m3_3(x0,x0,x0) ....... B86 % ~k4_1(x1) | ~m3_3(x0,x0,x0) | n4_2(x0,x0) ....... B196 % ~n2_1(x0) | ~k4_1(x1) | n4_2(x0, x0) ....... R1 [B86:L1, B196:L1] % n2_1(x0) ....... U88 % ~k4_1(x0) | n4_2(x1, x1) ....... R2 [R1:L0, U88:L0] % k4_1(c_0()) ....... U362 % n4_2(x0, x0) ....... R3 [R2:L0, U362:L0] % Derivation of unit clause U604: % ~n5_2(e_0(),a_0()) ....... B0 % ~n4_2(x0,x3) | ~n5_2(x4,x1) | ~q4_2(x2,x3) | ~p4_3(x4,x4,x1) | n5_2(x0,x1) ....... B347 % ~n4_2(e_0(), x0) | ~n5_2(x1, a_0()) | ~q4_2(x2, x0) | ~p4_3(x1, x1, a_0()) ....... R1 [B0:L0, B347:L4] % n4_2(x0,x0) ....... U412 % ~n5_2(x0, a_0()) | ~q4_2(x1, e_0()) | ~p4_3(x0, x0, a_0()) ....... R2 [R1:L0, U412:L0] % n5_2(a_0(),a_0()) ....... U282 % ~q4_2(x0, e_0()) | ~p4_3(a_0(), a_0(), a_0()) ....... R3 [R2:L0, U282:L0] % p4_3(x0,x0,x0) ....... U234 % ~q4_2(x0, e_0()) ....... R4 [R3:L1, U234:L0] % Derivation of unit clause U711: % ~k2_2(x1,x0) | k3_3(x0,x0,x1) ....... B51 % ~k3_3(x2,x2,x0) | ~m3_3(x3,x4,x3) | ~q2_3(x3,x1,x0) | q4_2(x0,x1) ....... B270 % ~k2_2(x0, x1) | ~m3_3(x2, x3, x2) | ~q2_3(x2, x4, x0) | q4_2(x0, x4) ....... R1 [B51:L1, B270:L0] % k2_2(x0,x0) ....... U104 % ~m3_3(x0, x1, x0) | ~q2_3(x0, x2, x3) | q4_2(x3, x2) ....... R2 [R1:L0, U104:L0] % m3_3(x0,x0,x0) ....... U119 % ~q2_3(x0, x1, x2) | q4_2(x2, x1) ....... R3 [R2:L0, U119:L0] % q2_3(e_0(),e_0(),e_0()) ....... U99 % q4_2(e_0(), e_0()) ....... R4 [R3:L0, U99:L0] % Derivation of the empty clause: % q4_2(e_0(),e_0()) ....... U711 % ~q4_2(x0,e_0()) ....... U604 % [] ....... R1 [U711:L0, U604:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 26405700 % resolvents: 26152506 factors: 253194 % Number of unit clauses generated: 9256111 % % unit clauses generated to total clauses generated: 35.05 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 39 [1] = 94 [2] = 108 [3] = 189 % [4] = 197 [5] = 85 % Total = 712 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 9256111 [2] = 13253100 [3] = 3890097 [4] = 6392 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] k0_1 (+)2 (-)0 % [1] k1_1 (+)5 (-)0 % [2] k4_1 (+)2 (-)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 (+)2 (-)0 % [13] r4_1 (+)6 (-)0 % [14] s0_1 (+)2 (-)0 % [15] s1_1 (+)5 (-)0 % [16] s2_1 (+)4 (-)0 % [17] s4_1 (+)5 (-)0 % [18] s5_1 (+)6 (-)0 % [19] k2_2 (+)20 (-)0 % [20] l1_2 (+)7 (-)0 % [21] l2_2 (+)14 (-)0 % [22] l3_2 (+)14 (-)0 % [23] m4_2 (+)0 (-)0 % [24] m5_2 (+)0 (-)0 % [25] n0_2 (+)8 (-)0 % [26] n4_2 (+)24 (-)0 % [27] n5_2 (+)6 (-)1 % [28] p0_2 (+)4 (-)0 % [29] q0_2 (+)8 (-)0 % [30] q3_2 (+)7 (-)0 % [31] q4_2 (+)1 (-)11 % [32] q5_2 (+)0 (-)0 % [33] r5_2 (+)0 (-)0 % [34] s3_2 (+)12 (-)0 % [35] k3_3 (+)47 (-)0 % [36] m0_3 (+)10 (-)0 % [37] m1_3 (+)39 (-)0 % [38] m3_3 (+)38 (-)0 % [39] n1_3 (+)35 (-)0 % [40] p1_3 (+)40 (-)0 % [41] p2_3 (+)46 (-)0 % [42] p3_3 (+)48 (-)0 % [43] p4_3 (+)37 (-)0 % [44] p5_3 (+)30 (-)0 % [45] q1_3 (+)53 (-)0 % [46] q2_3 (+)37 (-)0 % [47] r3_3 (+)41 (-)0 % ------------------ % Total: (+)700 (-)12 % Total number of unit clauses retained: 712 % Number of clauses skipped because of their length: 409512186 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 3264591 % Number of successful unifications: 26405744 % Number of unification failures: 49213318 % Number of unit to unit unification failures: 6 % N literal unification failure due to lookup root_id table: 183646354 % N base clause resolution failure due to lookup table: 608424144 % N UC-BCL resolution dropped due to lookup table: 191631 % Max entries in substitution set: 18 % N unit clauses dropped because they exceeded max values: 8406263 % 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: 477 % Total number of terms of all unit clauses in table: 1851 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.01 % Ratio n states used/total unit clauses terms: 0.26 % Number of symbols (columns) in UCFA: 87 % Profile 2: Number of calls to: % ============================== % PTUnify() = 75619062 % ConstructUnitClause() = 8406936 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 9.27 secs % -------------------------------------------------------- % | | % Inferences per sec: 212949 % | | % -------------------------------------------------------- % Elapsed time: 125 secs % CPU time: 124.50 secs % %------------------------------------------------------------------------------