%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN178-1 : TPTP v5.0.0. Released v1.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art07.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 08:39:44 EST 2010 % Result : Unsatisfiable 121.54s % Output : Refutation 121.54s % 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/SystemOnTPTP24213/SYN/SYN178-1+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 = 831] [nf = 0] [nu = 404] [ut = 133] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 6518] [nf = 78] [nu = 2301] [ut = 244] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 104357] [nf = 630] [nu = 37233] [ut = 428] % Looking for a proof at depth = 4 ... % t = 6 secs [nr = 1174434] [nf = 10804] [nu = 429061] [ut = 518] % Looking for a proof at depth = 5 ... % t = 66 secs [nr = 13690571] [nf = 135281] [nu = 4989233] [ut = 604] % Looking for a proof at depth = 6 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 123 secs [nr = 25315604] [nf = 247621] [nu = 8919759] [ut = 604] % Looking for a proof at depth = 2 ... % t = 123 secs [nr = 25322699] [nf = 247699] [nu = 8922276] [ut = 604] % Looking for a proof at depth = 3 ... % t = 124 secs [nr = 25436897] [nf = 248475] [nu = 8966338] [ut = 610] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~q3_2(b_0(),d_0()) % B1: m0_3(x0,d_0(),x1) % B3: q0_2(x0,d_0()) % B14: n0_2(d_0(),b_0()) % B44: ~m0_3(x1,x2,x0) | q1_3(x0,x0,x0) % B48: ~n0_2(x1,x0) | l1_2(x0,x0) % B53: ~l1_2(x1,x0) | q2_3(x0,x0,x1) % B162: ~n0_2(x2,x0) | ~q2_3(x2,x0,x1) | q3_2(x0,x1) % B323: ~s0_1(d_0()) | ~q0_2(x0,x1) | ~q1_3(d_0(),x1,d_0()) | r1_1(x0) % B351: ~k0_1(x1) | ~r1_1(x1) | ~m0_3(x2,x3,x0) | ~q2_3(x1,x1,x1) | q2_3(x0,x1,x0) % Unit Clauses: % -------------- % U6: < d0 v0 dv0 f0 c1 t1 td1 b > k0_1(b_0()) % U11: < d0 v0 dv0 f0 c1 t1 td1 b > s0_1(d_0()) % U14: < d0 v0 dv0 f0 c2 t2 td1 b > n0_2(d_0(),b_0()) % U40: < d1 v3 dv1 f0 c0 t3 td1 > q1_3(x0,x0,x0) % U68: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(b_0(),b_0()) % U100: < d1 v0 dv0 f0 c3 t3 td1 > q2_3(b_0(),b_0(),b_0()) % U133: < d2 v0 dv0 f0 c3 t3 td1 > ~q2_3(d_0(),b_0(),d_0()) % U284: < d3 v1 dv1 f0 c0 t1 td1 > r1_1(x0) % U611: < d4 v2 dv1 f0 c1 t3 td1 > q2_3(x0,b_0(),x0) % --------------- Start of Proof --------------- % Derivation of unit clause U6: % k0_1(b_0()) ....... U6 % Derivation of unit clause U11: % s0_1(d_0()) ....... U11 % Derivation of unit clause U14: % n0_2(d_0(),b_0()) ....... U14 % 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 U68: % n0_2(d_0(),b_0()) ....... B14 % ~n0_2(x1,x0) | l1_2(x0,x0) ....... B48 % l1_2(b_0(), b_0()) ....... R1 [B14:L0, B48:L0] % Derivation of unit clause U100: % ~l1_2(x1,x0) | q2_3(x0,x0,x1) ....... B53 % l1_2(b_0(),b_0()) ....... U68 % q2_3(b_0(), b_0(), b_0()) ....... R1 [B53:L0, U68:L0] % Derivation of unit clause U133: % ~q3_2(b_0(),d_0()) ....... B0 % ~n0_2(x2,x0) | ~q2_3(x2,x0,x1) | q3_2(x0,x1) ....... B162 % ~n0_2(x0, b_0()) | ~q2_3(x0, b_0(), d_0()) ....... R1 [B0:L0, B162:L2] % n0_2(d_0(),b_0()) ....... U14 % ~q2_3(d_0(), b_0(), d_0()) ....... R2 [R1:L0, U14:L0] % Derivation of unit clause U284: % q0_2(x0,d_0()) ....... B3 % ~s0_1(d_0()) | ~q0_2(x0,x1) | ~q1_3(d_0(),x1,d_0()) | r1_1(x0) ....... B323 % ~s0_1(d_0()) | ~q1_3(d_0(), d_0(), d_0()) | r1_1(x0) ....... R1 [B3:L0, B323:L1] % s0_1(d_0()) ....... U11 % ~q1_3(d_0(), d_0(), d_0()) | r1_1(x0) ....... R2 [R1:L0, U11:L0] % q1_3(x0,x0,x0) ....... U40 % r1_1(x0) ....... R3 [R2:L0, U40:L0] % Derivation of unit clause U611: % m0_3(x0,d_0(),x1) ....... B1 % ~k0_1(x1) | ~r1_1(x1) | ~m0_3(x2,x3,x0) | ~q2_3(x1,x1,x1) | q2_3(x0,x1,x0) ....... B351 % ~k0_1(x0) | ~r1_1(x0) | ~q2_3(x0, x0, x0) | q2_3(x1, x0, x1) ....... R1 [B1:L0, B351:L2] % k0_1(b_0()) ....... U6 % ~r1_1(b_0()) | ~q2_3(b_0(), b_0(), b_0()) | q2_3(x0, b_0(), x0) ....... R2 [R1:L0, U6:L0] % r1_1(x0) ....... U284 % ~q2_3(b_0(), b_0(), b_0()) | q2_3(x0, b_0(), x0) ....... R3 [R2:L0, U284:L0] % q2_3(b_0(),b_0(),b_0()) ....... U100 % q2_3(x0, b_0(), x0) ....... R4 [R3:L0, U100:L0] % Derivation of the empty clause: % q2_3(x0,b_0(),x0) ....... U611 % ~q2_3(d_0(),b_0(),d_0()) ....... U133 % [] ....... R1 [U611:L0, U133:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 25696559 % resolvents: 25447960 factors: 248599 % Number of unit clauses generated: 8969830 % % unit clauses generated to total clauses generated: 34.91 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 39 [1] = 94 [2] = 111 [3] = 190 % [4] = 92 [5] = 86 % Total = 612 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 8969830 [2] = 12920318 [3] = 3804944 [4] = 1467 % 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 (+)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 (+)2 (-)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 (+)6 (-)0 % [19] k2_2 (+)6 (-)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 (-)1 % [26] n4_2 (+)24 (-)0 % [27] n5_2 (+)6 (-)0 % [28] p0_2 (+)4 (-)0 % [29] q0_2 (+)8 (-)0 % [30] q3_2 (+)6 (-)2 % [31] q4_2 (+)0 (-)0 % [32] q5_2 (+)0 (-)0 % [33] r5_2 (+)0 (-)0 % [34] s3_2 (+)9 (-)0 % [35] k3_3 (+)43 (-)0 % [36] m0_3 (+)10 (-)0 % [37] m1_3 (+)39 (-)0 % [38] m3_3 (+)21 (-)0 % [39] n1_3 (+)35 (-)0 % [40] p1_3 (+)40 (-)0 % [41] p2_3 (+)38 (-)0 % [42] p3_3 (+)34 (-)0 % [43] p4_3 (+)29 (-)0 % [44] p5_3 (+)30 (-)0 % [45] q1_3 (+)51 (-)0 % [46] q2_3 (+)32 (-)4 % [47] r3_3 (+)25 (-)0 % ------------------ % Total: (+)605 (-)7 % Total number of unit clauses retained: 612 % Number of clauses skipped because of their length: 397171919 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 3176041 % Number of successful unifications: 25696571 % Number of unification failures: 48162197 % Number of unit to unit unification failures: 144 % N literal unification failure due to lookup root_id table: 179343601 % N base clause resolution failure due to lookup table: 593679681 % N UC-BCL resolution dropped due to lookup table: 149665 % Max entries in substitution set: 18 % N unit clauses dropped because they exceeded max values: 8144733 % 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: 455 % Total number of terms of all unit clauses in table: 1583 % 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: 0.29 % Number of symbols (columns) in UCFA: 87 % Profile 2: Number of calls to: % ============================== % PTUnify() = 73858768 % ConstructUnitClause() = 8145306 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 8.97 secs % -------------------------------------------------------- % | | % Inferences per sec: 212368 % | | % -------------------------------------------------------- % Elapsed time: 124 secs % CPU time: 121.55 secs % %------------------------------------------------------------------------------