%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN143-1 : TPTP v5.0.0. Released v1.1.0. % 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 08:38:04 EST 2010 % Result : Unsatisfiable 124.96s % Output : Refutation 124.96s % 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/SystemOnTPTP12976/SYN/SYN143-1+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 = 839] [nf = 0] [nu = 406] [ut = 134] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 6547] [nf = 78] [nu = 2298] [ut = 242] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 104590] [nf = 631] [nu = 37259] [ut = 428] % Looking for a proof at depth = 4 ... % t = 6 secs [nr = 1178063] [nf = 10852] [nu = 429937] [ut = 527] % Looking for a proof at depth = 5 ... % t = 66 secs [nr = 13747709] [nf = 135837] [nu = 5007611] [ut = 614] % Looking for a proof at depth = 6 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 124 secs [nr = 25494774] [nf = 248978] [nu = 8991559] [ut = 614] % Looking for a proof at depth = 2 ... % t = 124 secs [nr = 25501956] [nf = 249056] [nu = 8994106] [ut = 614] % Looking for a proof at depth = 3 ... % t = 125 secs [nr = 25616494] [nf = 249834] [nu = 9038264] [ut = 620] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~m5_2(d_0(),d_0()) % B1: m0_3(x0,d_0(),x1) % B2: p0_2(b_0(),x0) % B3: q0_2(x0,d_0()) % B6: k0_1(b_0()) % B7: l0_1(a_0()) % B19: n0_2(b_0(),a_0()) % B39: ~p1_3(x1,x2,x0) | n2_1(x0) % B48: ~n0_2(x1,x0) | l1_2(x0,x0) % B55: ~n0_2(x1,x0) | p1_3(x0,x0,x0) % B57: ~p0_2(x1,x0) | p1_3(x0,x0,x0) % B81: ~p0_2(x0,x0) | s1_1(x0) % B87: ~n2_1(x0) | p3_3(x0,x0,x0) % B132: ~l1_2(x0,x2) | ~p3_3(x1,x2,x3) | s4_1(x0) % B141: ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0) % B200: ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1) % B228: ~s4_1(x0) | ~m4_2(e_0(),e_0()) | m5_2(x0,x0) % B276: ~s1_1(x2) | ~p0_2(x1,x1) | ~m0_3(x3,x2,x0) | l2_2(x0,x0) % B281: ~s2_1(x0) | ~m0_3(x2,x3,x1) | ~q2_3(x2,x0,x2) | s3_2(x0,x1) % B296: ~l0_1(x2) | ~l1_2(x2,x0) | ~n1_3(x0,x1,x0) | n1_3(x0,x1,x1) % B314: ~n1_3(x1,x0,x2) | ~p1_3(x0,x0,x2) | ~q2_3(x1,x2,x0) | q2_3(x0,x1,x0) % B320: ~l0_1(x0) | ~s0_1(b_0()) | ~p0_2(b_0(),x1) | n1_3(x0,x1,x0) % Unit Clauses: % -------------- % U2: < d0 v1 dv1 f0 c1 t2 td1 b > p0_2(b_0(),x0) % U7: < d0 v0 dv0 f0 c1 t1 td1 b > l0_1(a_0()) % U12: < d0 v0 dv0 f0 c1 t1 td1 b > s0_1(b_0()) % U14: < d0 v0 dv0 f0 c2 t2 td1 b > n0_2(d_0(),b_0()) % U20: < d0 v0 dv0 f0 c2 t2 td1 b > n0_2(c_0(),d_0()) % U45: < d1 v3 dv1 f0 c0 t3 td1 > p1_3(x0,x0,x0) % U48: < d1 v0 dv0 f0 c1 t1 td1 > s1_1(b_0()) % U75: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(a_0(),a_0()) % U89: < d1 v1 dv1 f0 c0 t1 td1 > n2_1(x0) % U126: < d1 v3 dv1 f0 c0 t3 td1 > p3_3(x0,x0,x0) % U158: < d2 v1 dv1 f0 c0 t1 td1 > s1_1(x0) % U173: < d2 v1 dv1 f0 c2 t3 td1 > q2_3(x0,b_0(),b_0()) % U248: < d3 v2 dv1 f0 c0 t2 td1 > l2_2(x0,x0) % U277: < d3 v1 dv1 f0 c2 t3 td1 > n1_3(a_0(),x0,a_0()) % U306: < d3 v2 dv1 f0 c1 t3 td1 > n1_3(a_0(),x0,x0) % U387: < d3 v0 dv0 f0 c1 t1 td1 > s4_1(d_0()) % U429: < d4 v0 dv0 f0 c2 t2 td1 > ~s3_2(a_0(),e_0()) % U439: < d4 v0 dv0 f0 c1 t1 td1 > ~s2_1(a_0()) % U442: < d4 v0 dv0 f0 c3 t3 td1 > ~q2_3(b_0(),a_0(),b_0()) % U749: < d4 v0 dv0 f0 c3 t3 td1 > q2_3(b_0(),a_0(),b_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % p0_2(b_0(),x0) ....... U2 % Derivation of unit clause U7: % l0_1(a_0()) ....... U7 % Derivation of unit clause U12: % s0_1(b_0()) ....... U12 % Derivation of unit clause U14: % n0_2(d_0(),b_0()) ....... U14 % Derivation of unit clause U20: % n0_2(c_0(),d_0()) ....... U20 % Derivation of unit clause U45: % 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 U48: % p0_2(b_0(),x0) ....... B2 % ~p0_2(x0,x0) | s1_1(x0) ....... B81 % s1_1(b_0()) ....... R1 [B2:L0, B81:L0] % Derivation of unit clause U75: % 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 U89: % ~p1_3(x1,x2,x0) | n2_1(x0) ....... B39 % p1_3(x0,x0,x0) ....... U45 % n2_1(x0) ....... R1 [B39:L0, U45:L0] % Derivation of unit clause U126: % ~n2_1(x0) | p3_3(x0,x0,x0) ....... B87 % n2_1(x0) ....... U89 % p3_3(x0, x0, x0) ....... R1 [B87:L0, U89:L0] % Derivation of unit clause U158: % q0_2(x0,d_0()) ....... B3 % ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0) ....... B141 % ~s1_1(x0) | s1_1(x1) ....... R1 [B3:L0, B141:L1] % s1_1(b_0()) ....... U48 % s1_1(x0) ....... R2 [R1:L0, U48:L0] % Derivation of unit clause U173: % k0_1(b_0()) ....... B6 % ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1) ....... B200 % ~p1_3(x0, x0, x0) | q2_3(x0, b_0(), b_0()) ....... R1 [B6:L0, B200:L0] % p1_3(x0,x0,x0) ....... U45 % q2_3(x0, b_0(), b_0()) ....... R2 [R1:L0, U45:L0] % Derivation of unit clause U248: % m0_3(x0,d_0(),x1) ....... B1 % ~s1_1(x2) | ~p0_2(x1,x1) | ~m0_3(x3,x2,x0) | l2_2(x0,x0) ....... B276 % ~s1_1(d_0()) | ~p0_2(x0, x0) | l2_2(x1, x1) ....... R1 [B1:L0, B276:L2] % s1_1(x0) ....... U158 % ~p0_2(x0, x0) | l2_2(x1, x1) ....... R2 [R1:L0, U158:L0] % p0_2(b_0(),x0) ....... U2 % l2_2(x0, x0) ....... R3 [R2:L0, U2:L0] % Derivation of unit clause U277: % p0_2(b_0(),x0) ....... B2 % ~l0_1(x0) | ~s0_1(b_0()) | ~p0_2(b_0(),x1) | n1_3(x0,x1,x0) ....... B320 % ~l0_1(x0) | ~s0_1(b_0()) | n1_3(x0, x1, x0) ....... R1 [B2:L0, B320:L2] % l0_1(a_0()) ....... U7 % ~s0_1(b_0()) | n1_3(a_0(), x0, a_0()) ....... R2 [R1:L0, U7:L0] % s0_1(b_0()) ....... U12 % n1_3(a_0(), x0, a_0()) ....... R3 [R2:L0, U12:L0] % Derivation of unit clause U306: % l0_1(a_0()) ....... B7 % ~l0_1(x2) | ~l1_2(x2,x0) | ~n1_3(x0,x1,x0) | n1_3(x0,x1,x1) ....... B296 % ~l1_2(a_0(), x0) | ~n1_3(x0, x1, x0) | n1_3(x0, x1, x1) ....... R1 [B7:L0, B296:L0] % l1_2(a_0(),a_0()) ....... U75 % ~n1_3(a_0(), x0, a_0()) | n1_3(a_0(), x0, x0) ....... R2 [R1:L0, U75:L0] % n1_3(a_0(),x0,a_0()) ....... U277 % n1_3(a_0(), x0, x0) ....... R3 [R2:L0, U277:L0] % Derivation of unit clause U387: % ~n0_2(x1,x0) | l1_2(x0,x0) ....... B48 % ~l1_2(x0,x2) | ~p3_3(x1,x2,x3) | s4_1(x0) ....... B132 % ~n0_2(x0, x1) | ~p3_3(x2, x1, x3) | s4_1(x1) ....... R1 [B48:L1, B132:L0] % n0_2(c_0(),d_0()) ....... U20 % ~p3_3(x0, d_0(), x1) | s4_1(d_0()) ....... R2 [R1:L0, U20:L0] % p3_3(x0,x0,x0) ....... U126 % s4_1(d_0()) ....... R3 [R2:L0, U126:L0] % Derivation of unit clause U429: % ~m5_2(d_0(),d_0()) ....... B0 % ~s4_1(x0) | ~m4_2(e_0(),e_0()) | m5_2(x0,x0) ....... B228 % ~s4_1(d_0()) | ~m4_2(e_0(), e_0()) ....... R1 [B0:L0, B228:L2] % ~l2_2(x2,x1) | ~s3_2(a_0(),x0) | m4_2(x0,x1) ....... B147 % ~s4_1(d_0()) | ~l2_2(x0, e_0()) | ~s3_2(a_0(), e_0()) ....... R2 [R1:L1, B147:L2] % s4_1(d_0()) ....... U387 % ~l2_2(x0, e_0()) | ~s3_2(a_0(), e_0()) ....... R3 [R2:L0, U387:L0] % l2_2(x0,x0) ....... U248 % ~s3_2(a_0(), e_0()) ....... R4 [R3:L0, U248:L0] % Derivation of unit clause U439: % m0_3(x0,d_0(),x1) ....... B1 % ~s2_1(x0) | ~m0_3(x2,x3,x1) | ~q2_3(x2,x0,x2) | s3_2(x0,x1) ....... B281 % ~s2_1(x0) | ~q2_3(x1, x0, x1) | s3_2(x0, x2) ....... R1 [B1:L0, B281:L1] % ~s3_2(a_0(),e_0()) ....... U429 % ~s2_1(a_0()) | ~q2_3(x0, a_0(), x0) ....... R2 [R1:L2, U429:L0] % ~l1_2(x1,x0) | q2_3(x0,x0,x1) ....... B53 % ~s2_1(a_0()) | ~l1_2(a_0(), a_0()) ....... R3 [R2:L1, B53:L1] % l1_2(a_0(),a_0()) ....... U75 % ~s2_1(a_0()) ....... R4 [R3:L1, U75:L0] % Derivation of unit clause U442: % q0_2(x0,d_0()) ....... B3 % ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0) ....... B141 % ~s1_1(x0) | s1_1(x1) ....... R1 [B3:L0, B141:L1] % ~s1_1(b_0()) | ~q2_3(b_0(),x0,b_0()) | s2_1(x0) ....... B229 % ~s1_1(x0) | ~q2_3(b_0(), x1, b_0()) | s2_1(x1) ....... R2 [R1:L1, B229:L0] % s1_1(b_0()) ....... U48 % ~q2_3(b_0(), x0, b_0()) | s2_1(x0) ....... R3 [R2:L0, U48:L0] % ~s2_1(a_0()) ....... U439 % ~q2_3(b_0(), a_0(), b_0()) ....... R4 [R3:L1, U439:L0] % Derivation of unit clause U749: % ~n0_2(x1,x0) | p1_3(x0,x0,x0) ....... B55 % ~n1_3(x1,x0,x2) | ~p1_3(x0,x0,x2) | ~q2_3(x1,x2,x0) | q2_3(x0,x1,x0) ....... B314 % ~n0_2(x0, x1) | ~n1_3(x2, x1, x1) | ~q2_3(x2, x1, x1) | q2_3(x1, x2, x1) ....... R1 [B55:L1, B314:L1] % n0_2(d_0(),b_0()) ....... U14 % ~n1_3(x0, b_0(), b_0()) | ~q2_3(x0, b_0(), b_0()) | q2_3(b_0(), x0, b_0()) ....... R2 [R1:L0, U14:L0] % n1_3(a_0(),x0,x0) ....... U306 % ~q2_3(a_0(), b_0(), b_0()) | q2_3(b_0(), a_0(), b_0()) ....... R3 [R2:L0, U306:L0] % q2_3(x0,b_0(),b_0()) ....... U173 % q2_3(b_0(), a_0(), b_0()) ....... R4 [R3:L0, U173:L0] % Derivation of the empty clause: % q2_3(b_0(),a_0(),b_0()) ....... U749 % ~q2_3(b_0(),a_0(),b_0()) ....... U442 % [] ....... R1 [U749:L0, U442:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 26608488 % resolvents: 26354178 factors: 254310 % Number of unit clauses generated: 9345523 % % unit clauses generated to total clauses generated: 35.12 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 39 [1] = 95 [2] = 108 [3] = 192 % [4] = 229 [5] = 87 % Total = 750 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 9345523 [2] = 13332125 [3] = 3923884 [4] = 6956 % 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 (+)2 (-)1 % [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 (-)1 % [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 (-)1 % [17] s4_1 (+)5 (-)0 % [18] s5_1 (+)6 (-)0 % [19] k2_2 (+)20 (-)0 % [20] l1_2 (+)7 (-)1 % [21] l2_2 (+)14 (-)0 % [22] l3_2 (+)14 (-)0 % [23] m4_2 (+)0 (-)1 % [24] m5_2 (+)10 (-)1 % [25] n0_2 (+)8 (-)0 % [26] n4_2 (+)24 (-)0 % [27] n5_2 (+)6 (-)0 % [28] p0_2 (+)4 (-)0 % [29] q0_2 (+)8 (-)0 % [30] q3_2 (+)7 (-)0 % [31] q4_2 (+)22 (-)0 % [32] q5_2 (+)0 (-)0 % [33] r5_2 (+)0 (-)0 % [34] s3_2 (+)13 (-)1 % [35] k3_3 (+)49 (-)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 (+)50 (-)0 % [43] p4_3 (+)37 (-)0 % [44] p5_3 (+)30 (-)0 % [45] q1_3 (+)53 (-)0 % [46] q2_3 (+)41 (-)1 % [47] r3_3 (+)42 (-)0 % ------------------ % Total: (+)741 (-)9 % Total number of unit clauses retained: 750 % Number of clauses skipped because of their length: 422974813 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 3296696 % Number of successful unifications: 26608525 % Number of unification failures: 49708310 % Number of unit to unit unification failures: 80 % N literal unification failure due to lookup root_id table: 184207890 % N base clause resolution failure due to lookup table: 622598020 % N UC-BCL resolution dropped due to lookup table: 338280 % Max entries in substitution set: 18 % N unit clauses dropped because they exceeded max values: 8487148 % 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: 499 % Total number of terms of all unit clauses in table: 1933 % 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() = 76316835 % ConstructUnitClause() = 8487859 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 9.46 secs % -------------------------------------------------------- % | | % Inferences per sec: 214585 % | | % -------------------------------------------------------- % Elapsed time: 128 secs % CPU time: 124.95 secs % %------------------------------------------------------------------------------