%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN272-1 : TPTP v5.0.0. Released v1.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art01.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 08:48:00 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/SystemOnTPTP16567/SYN/SYN272-1+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 = 834] [nf = 0] [nu = 407] [ut = 135] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 6520] [nf = 78] [nu = 2301] [ut = 243] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~p4_3(d_0(),e_0(),x0) % B1: m0_3(x0,d_0(),x1) % B2: p0_2(b_0(),x0) % B4: m0_3(a_0(),x0,a_0()) % B14: n0_2(d_0(),b_0()) % B29: q0_2(b_0(),e_0()) % B33: m0_3(e_0(),d_0(),a_0()) % B44: ~m0_3(x1,x2,x0) | q1_3(x0,x0,x0) % B47: ~n0_2(x1,x0) | k1_1(x0) % 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) % B106: ~k1_1(b_0()) | m2_1(b_0()) % B136: ~m0_3(x2,x0,x3) | ~p1_3(x2,x0,x3) | p1_3(x0,x1,x2) % B269: ~k2_2(x0,x3) | ~q0_2(x2,x1) | ~k3_3(x1,x4,x3) | k3_3(x0,x0,x1) % B273: ~m2_1(x2) | ~m2_1(x3) | ~p1_3(x1,x2,x0) | k3_3(x0,x0,x1) % Unit Clauses: % -------------- % U39: < d1 v0 dv0 f0 c3 t3 td1 > ~k3_3(d_0(),d_0(),e_0()) % U41: < d1 v3 dv1 f0 c0 t3 td1 > q1_3(x0,x0,x0) % U45: < d1 v3 dv1 f0 c0 t3 td1 > p1_3(x0,x0,x0) % U68: < d1 v0 dv0 f0 c1 t1 td1 > k1_1(b_0()) % U106: < d1 v2 dv1 f0 c0 t2 td1 > k2_2(x0,x0) % U134: < d1 v0 dv0 f0 c1 t1 td1 > m2_1(b_0()) % U160: < d2 v1 dv1 f0 c2 t3 td1 > p1_3(a_0(),x0,a_0()) % U161: < d2 v2 dv2 f0 c1 t3 td1 > p1_3(x0,x1,a_0()) % U213: < d2 v1 dv1 f0 c2 t3 td1 > p1_3(d_0(),x0,e_0()) % U368: < d3 v1 dv1 f0 c2 t3 td1 > ~k3_3(e_0(),x0,d_0()) % U426: < d3 v0 dv0 f0 c3 t3 td1 > k3_3(e_0(),e_0(),d_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U39: % ~p4_3(d_0(),e_0(),x0) ....... B0 % ~k3_3(x0,x0,x1) | p4_3(x0,x1,x0) ....... B64 % ~k3_3(d_0(), d_0(), e_0()) ....... R1 [B0:L0, B64:L1] % Derivation of unit clause U41: % 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 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 U68: % 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 U106: % ~q1_3(x1,x0,x0) | k2_2(x0,x0) ....... B63 % q1_3(x0,x0,x0) ....... U41 % k2_2(x0, x0) ....... R1 [B63:L0, U41:L0] % Derivation of unit clause U134: % ~k1_1(b_0()) | m2_1(b_0()) ....... B106 % k1_1(b_0()) ....... U68 % m2_1(b_0()) ....... R1 [B106:L0, U68:L0] % Derivation of unit clause U160: % m0_3(a_0(),x0,a_0()) ....... B4 % ~m0_3(x2,x0,x3) | ~p1_3(x2,x0,x3) | p1_3(x0,x1,x2) ....... B136 % ~p1_3(a_0(), x0, a_0()) | p1_3(x0, x1, a_0()) ....... R1 [B4:L0, B136:L0] % p1_3(x0,x0,x0) ....... U45 % p1_3(a_0(), x0, a_0()) ....... R2 [R1:L0, U45:L0] % Derivation of unit clause U161: % m0_3(a_0(),x0,a_0()) ....... B4 % ~m0_3(x2,x0,x3) | ~p1_3(x2,x0,x3) | p1_3(x0,x1,x2) ....... B136 % ~p1_3(a_0(), x0, a_0()) | p1_3(x0, x1, a_0()) ....... R1 [B4:L0, B136:L0] % p1_3(a_0(),x0,a_0()) ....... U160 % p1_3(x0, x1, a_0()) ....... R2 [R1:L0, U160:L0] % Derivation of unit clause U213: % m0_3(e_0(),d_0(),a_0()) ....... B33 % ~m0_3(x2,x0,x3) | ~p1_3(x2,x0,x3) | p1_3(x0,x1,x2) ....... B136 % ~p1_3(e_0(), d_0(), a_0()) | p1_3(d_0(), x0, e_0()) ....... R1 [B33:L0, B136:L0] % p1_3(x0,x1,a_0()) ....... U161 % p1_3(d_0(), x0, e_0()) ....... R2 [R1:L0, U161:L0] % Derivation of unit clause U368: % q0_2(b_0(),e_0()) ....... B29 % ~k2_2(x0,x3) | ~q0_2(x2,x1) | ~k3_3(x1,x4,x3) | k3_3(x0,x0,x1) ....... B269 % ~k2_2(x0, x1) | ~k3_3(e_0(), x2, x1) | k3_3(x0, x0, e_0()) ....... R1 [B29:L0, B269:L1] % k2_2(x0,x0) ....... U106 % ~k3_3(e_0(), x0, x1) | k3_3(x1, x1, e_0()) ....... R2 [R1:L0, U106:L0] % ~k3_3(d_0(),d_0(),e_0()) ....... U39 % ~k3_3(e_0(), x0, d_0()) ....... R3 [R2:L1, U39:L0] % Derivation of unit clause U426: % ~m2_1(x2) | ~m2_1(x3) | ~p1_3(x1,x2,x0) | k3_3(x0,x0,x1) ....... B273 % ~m2_1(x0) | ~p1_3(x1, x0, x2) | k3_3(x2, x2, x1) ....... R1 [B273:L0, B273:L1] % m2_1(b_0()) ....... U134 % ~p1_3(x0, b_0(), x1) | k3_3(x1, x1, x0) ....... R2 [R1:L0, U134:L0] % p1_3(d_0(),x0,e_0()) ....... U213 % k3_3(e_0(), e_0(), d_0()) ....... R3 [R2:L0, U213:L0] % Derivation of the empty clause: % k3_3(e_0(),e_0(),d_0()) ....... U426 % ~k3_3(e_0(),x0,d_0()) ....... U368 % [] ....... R1 [U426:L0, U368:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 103068 % resolvents: 102453 factors: 615 % Number of unit clauses generated: 37102 % % unit clauses generated to total clauses generated: 36.00 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 39 [1] = 96 [2] = 108 [3] = 184 % Total = 427 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 37102 [2] = 54860 [3] = 11106 % 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 (+)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 (-)2 % [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 (-)0 % [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 (+)28 (-)2 % [36] m0_3 (+)10 (-)0 % [37] m1_3 (+)35 (-)0 % [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 (-)1 % [44] p5_3 (+)1 (-)0 % [45] q1_3 (+)42 (-)0 % [46] q2_3 (+)20 (-)0 % [47] r3_3 (+)14 (-)1 % ------------------ % Total: (+)421 (-)6 % Total number of unit clauses retained: 427 % Number of clauses skipped because of their length: 1442819 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 16705 % Number of successful unifications: 103086 % Number of unification failures: 132306 % Number of unit to unit unification failures: 91 % N literal unification failure due to lookup root_id table: 508008 % N base clause resolution failure due to lookup table: 1630966 % N UC-BCL resolution dropped due to lookup table: 492 % Max entries in substitution set: 9 % N unit clauses dropped because they exceeded max values: 33949 % 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: 396 % Total number of terms of all unit clauses in table: 1074 % 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() = 235392 % ConstructUnitClause() = 34337 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.03 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.67 secs % %------------------------------------------------------------------------------