%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN137-1 : 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 08:35:31 EST 2010 % Result : Unsatisfiable 1.04s % Output : Refutation 1.04s % 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/SystemOnTPTP27599/SYN/SYN137-1+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 = 832] [nf = 0] [nu = 404] [ut = 133] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 6518] [nf = 78] [nu = 2296] [ut = 242] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 104347] [nf = 630] [nu = 37215] [ut = 425] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~m3_3(b_0(),c_0(),b_0()) % B1: m0_3(x0,d_0(),x1) % B2: p0_2(b_0(),x0) % B3: q0_2(x0,d_0()) % B8: l0_1(c_0()) % B14: n0_2(d_0(),b_0()) % B17: n0_2(e_0(),b_0()) % B47: ~n0_2(x1,x0) | k1_1(x0) % B81: ~p0_2(x0,x0) | s1_1(x0) % B141: ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0) % B237: ~s2_1(c_0()) | ~q2_3(x0,c_0(),c_0()) | m3_3(x0,c_0(),x0) % B276: ~s1_1(x2) | ~p0_2(x1,x1) | ~m0_3(x3,x2,x0) | l2_2(x0,x0) % B319: ~k1_1(x1) | ~l0_1(c_0()) | ~l2_2(x1,x0) | q2_3(x0,c_0(),x1) % B322: ~s1_1(x0) | ~l2_2(x1,x1) | ~n0_2(e_0(),x1) | l2_2(x0,x1) % Unit Clauses: % -------------- % U2: < d0 v1 dv1 f0 c1 t2 td1 b > p0_2(b_0(),x0) % U15: < d0 v0 dv0 f0 c2 t2 td1 b > n0_2(d_0(),c_0()) % U47: < d1 v0 dv0 f0 c1 t1 td1 > s1_1(b_0()) % U67: < d1 v0 dv0 f0 c1 t1 td1 > k1_1(b_0()) % U158: < d2 v1 dv1 f0 c0 t1 td1 > s1_1(x0) % U247: < d3 v2 dv1 f0 c0 t2 td1 > l2_2(x0,x0) % U312: < d3 v0 dv0 f0 c3 t3 td1 > q2_3(b_0(),c_0(),b_0()) % U349: < d3 v1 dv1 f0 c1 t2 td1 > l2_2(x0,b_0()) % U427: < d4 v0 dv0 f0 c3 t3 td1 > ~q2_3(b_0(),c_0(),c_0()) % U467: < d4 v1 dv1 f0 c1 t2 td1 > ~n0_2(x0,c_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U2: % p0_2(b_0(),x0) ....... U2 % Derivation of unit clause U15: % n0_2(d_0(),c_0()) ....... U15 % Derivation of unit clause U47: % 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 U67: % n0_2(d_0(),b_0()) ....... B14 % ~n0_2(x1,x0) | k1_1(x0) ....... B47 % k1_1(b_0()) ....... R1 [B14:L0, B47: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()) ....... U47 % s1_1(x0) ....... R2 [R1:L0, U47:L0] % Derivation of unit clause U247: % 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 U312: % l0_1(c_0()) ....... B8 % ~k1_1(x1) | ~l0_1(c_0()) | ~l2_2(x1,x0) | q2_3(x0,c_0(),x1) ....... B319 % ~k1_1(x0) | ~l2_2(x0, x1) | q2_3(x1, c_0(), x0) ....... R1 [B8:L0, B319:L1] % k1_1(b_0()) ....... U67 % ~l2_2(b_0(), x0) | q2_3(x0, c_0(), b_0()) ....... R2 [R1:L0, U67:L0] % l2_2(x0,x0) ....... U247 % q2_3(b_0(), c_0(), b_0()) ....... R3 [R2:L0, U247:L0] % Derivation of unit clause U349: % n0_2(e_0(),b_0()) ....... B17 % ~s1_1(x0) | ~l2_2(x1,x1) | ~n0_2(e_0(),x1) | l2_2(x0,x1) ....... B322 % ~s1_1(x0) | ~l2_2(b_0(), b_0()) | l2_2(x0, b_0()) ....... R1 [B17:L0, B322:L2] % s1_1(x0) ....... U158 % ~l2_2(b_0(), b_0()) | l2_2(x0, b_0()) ....... R2 [R1:L0, U158:L0] % l2_2(x0,x0) ....... U247 % l2_2(x0, b_0()) ....... R3 [R2:L0, U247:L0] % Derivation of unit clause U427: % ~m3_3(b_0(),c_0(),b_0()) ....... B0 % ~s2_1(c_0()) | ~q2_3(x0,c_0(),c_0()) | m3_3(x0,c_0(),x0) ....... B237 % ~s2_1(c_0()) | ~q2_3(b_0(), c_0(), c_0()) ....... R1 [B0:L0, B237:L2] % ~s1_1(b_0()) | ~q2_3(b_0(),x0,b_0()) | s2_1(x0) ....... B229 % ~q2_3(b_0(), c_0(), c_0()) | ~s1_1(b_0()) | ~q2_3(b_0(), c_0(), b_0()) ....... R2 [R1:L0, B229:L2] % s1_1(b_0()) ....... U47 % ~q2_3(b_0(), c_0(), c_0()) | ~q2_3(b_0(), c_0(), b_0()) ....... R3 [R2:L1, U47:L0] % q2_3(b_0(),c_0(),b_0()) ....... U312 % ~q2_3(b_0(), c_0(), c_0()) ....... R4 [R3:L1, U312:L0] % Derivation of unit clause U467: % l0_1(c_0()) ....... B8 % ~k1_1(x1) | ~l0_1(c_0()) | ~l2_2(x1,x0) | q2_3(x0,c_0(),x1) ....... B319 % ~k1_1(x0) | ~l2_2(x0, x1) | q2_3(x1, c_0(), x0) ....... R1 [B8:L0, B319:L1] % l2_2(x0,b_0()) ....... U349 % ~k1_1(x0) | q2_3(b_0(), c_0(), x0) ....... R2 [R1:L1, U349:L0] % ~n0_2(x1,x0) | k1_1(x0) ....... B47 % q2_3(b_0(), c_0(), x0) | ~n0_2(x1, x0) ....... R3 [R2:L0, B47:L1] % ~q2_3(b_0(),c_0(),c_0()) ....... U427 % ~n0_2(x0, c_0()) ....... R4 [R3:L0, U427:L0] % Derivation of the empty clause: % ~n0_2(x0,c_0()) ....... U467 % n0_2(d_0(),c_0()) ....... U15 % [] ....... R1 [U467:L0, U15:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 183785 % resolvents: 182541 factors: 1244 % Number of unit clauses generated: 62468 % % unit clauses generated to total clauses generated: 33.99 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 39 [1] = 94 [2] = 109 [3] = 183 % [4] = 43 % Total = 468 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 62468 [2] = 96229 [3] = 25088 % 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 (-)1 % [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 (-)1 % [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 (-)1 % [26] n4_2 (+)6 (-)0 % [27] n5_2 (+)6 (-)0 % [28] p0_2 (+)4 (-)0 % [29] q0_2 (+)8 (-)0 % [30] q3_2 (+)4 (-)0 % [31] q4_2 (+)0 (-)0 % [32] q5_2 (+)0 (-)0 % [33] r5_2 (+)0 (-)0 % [34] s3_2 (+)4 (-)0 % [35] k3_3 (+)30 (-)0 % [36] m0_3 (+)10 (-)0 % [37] m1_3 (+)37 (-)0 % [38] m3_3 (+)15 (-)1 % [39] n1_3 (+)35 (-)0 % [40] p1_3 (+)36 (-)0 % [41] p2_3 (+)33 (-)0 % [42] p3_3 (+)29 (-)0 % [43] p4_3 (+)10 (-)0 % [44] p5_3 (+)1 (-)0 % [45] q1_3 (+)42 (-)0 % [46] q2_3 (+)25 (-)1 % [47] r3_3 (+)16 (-)0 % ------------------ % Total: (+)462 (-)6 % Total number of unit clauses retained: 468 % Number of clauses skipped because of their length: 2781724 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 30999 % Number of successful unifications: 183806 % Number of unification failures: 246659 % Number of unit to unit unification failures: 46 % N literal unification failure due to lookup root_id table: 1072928 % N base clause resolution failure due to lookup table: 3474974 % N UC-BCL resolution dropped due to lookup table: 1409 % Max entries in substitution set: 12 % N unit clauses dropped because they exceeded max values: 56339 % 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: 401 % Total number of terms of all unit clauses in table: 1190 % 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: 0.34 % Number of symbols (columns) in UCFA: 87 % Profile 2: Number of calls to: % ============================== % PTUnify() = 430465 % ConstructUnitClause() = 56768 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.04 secs % -------------------------------------------------------- % | | % Inferences per sec: 183785 % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 1.04 secs % %------------------------------------------------------------------------------