%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN271-1 : TPTP v5.0.0. Released v1.1.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art03.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 08:47:53 EST 2010 % Result : Unsatisfiable 123.99s % Output : Refutation 123.99s % 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/SystemOnTPTP31179/SYN/SYN271-1+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 = 0 secs [nr = 6517] [nf = 78] [nu = 2294] [ut = 241] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 104392] [nf = 630] [nu = 37255] [ut = 425] % Looking for a proof at depth = 4 ... % t = 6 secs [nr = 1175037] [nf = 10797] [nu = 429480] [ut = 514] % Looking for a proof at depth = 5 ... % t = 65 secs [nr = 13706895] [nf = 135222] [nu = 5002153] [ut = 599] % 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 = 25296513] [nf = 246378] [nu = 8951761] [ut = 599] % Looking for a proof at depth = 2 ... % t = 122 secs [nr = 25303616] [nf = 246456] [nu = 8954283] [ut = 599] % Looking for a proof at depth = 3 ... % t = 123 secs [nr = 25417824] [nf = 247232] [nu = 8998378] [ut = 605] % Looking for a proof at depth = 4 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~p4_3(d_0(),x0,a_0()) % B1: m0_3(x0,d_0(),x1) % B2: p0_2(b_0(),x0) % B3: q0_2(x0,d_0()) % B7: l0_1(a_0()) % B11: s0_1(d_0()) % B13: n0_2(d_0(),e_0()) % B19: n0_2(b_0(),a_0()) % B20: n0_2(c_0(),d_0()) % B44: ~m0_3(x1,x2,x0) | q1_3(x0,x0,x0) % B46: ~p2_3(x0,x2,x1) | r3_3(x0,x1,x0) % B48: ~n0_2(x1,x0) | l1_2(x0,x0) % B52: ~l1_2(x1,x0) | p2_3(x0,x0,x0) % B72: ~p2_3(x1,x0,x0) | k3_3(x0,x0,x0) % B81: ~p0_2(x0,x0) | s1_1(x0) % B139: ~p4_3(x2,x2,x3) | ~r3_3(x1,x1,x0) | p4_3(x0,x1,x1) % B140: ~s0_1(x0) | ~l1_2(x1,x2) | m2_1(x0) % B141: ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0) % B219: ~l0_1(x0) | ~r1_1(x0) | r2_1(x0) % B280: ~s1_1(x1) | ~n0_2(x0,x3) | ~p2_3(x2,x1,x3) | k3_3(x0,x1,x0) % B282: ~m2_1(x1) | ~m3_3(x2,b_0(),x0) | ~r3_3(x1,x3,x3) | r3_3(x0,x0,x1) % B323: ~s0_1(d_0()) | ~q0_2(x0,x1) | ~q1_3(d_0(),x1,d_0()) | r1_1(x0) % Unit Clauses: % -------------- % U11: < d0 v0 dv0 f0 c1 t1 td1 b > s0_1(d_0()) % U40: < d1 v3 dv1 f0 c0 t3 td1 > q1_3(x0,x0,x0) % U47: < d1 v0 dv0 f0 c1 t1 td1 > s1_1(b_0()) % 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()) % U76: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(d_0(),d_0()) % U94: < d1 v0 dv0 f0 c3 t3 td1 > p2_3(e_0(),e_0(),e_0()) % U97: < d1 v0 dv0 f0 c3 t3 td1 > p2_3(a_0(),a_0(),a_0()) % U98: < d1 v0 dv0 f0 c3 t3 td1 > p2_3(d_0(),d_0(),d_0()) % U113: < d1 v0 dv0 f0 c3 t3 td1 > k3_3(e_0(),e_0(),e_0()) % U157: < d2 v1 dv1 f0 c0 t1 td1 > s1_1(x0) % U192: < d2 v0 dv0 f0 c1 t1 td1 > m2_1(d_0()) % U241: < d3 v0 dv0 f0 c3 t3 td1 > ~r3_3(a_0(),a_0(),d_0()) % U282: < d3 v1 dv1 f0 c0 t1 td1 > r1_1(x0) % U358: < d3 v0 dv0 f0 c3 t3 td1 > k3_3(b_0(),a_0(),b_0()) % U447: < d4 v0 dv0 f0 c3 t3 td1 > m3_3(b_0(),b_0(),a_0()) % U642: < d4 v0 dv0 f0 c3 t3 td1 > r3_3(a_0(),a_0(),d_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U11: % s0_1(d_0()) ....... U11 % 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 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 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 U76: % n0_2(c_0(),d_0()) ....... B20 % ~n0_2(x1,x0) | l1_2(x0,x0) ....... B48 % l1_2(d_0(), d_0()) ....... R1 [B20:L0, B48:L0] % Derivation of unit clause U94: % ~l1_2(x1,x0) | p2_3(x0,x0,x0) ....... B52 % l1_2(e_0(),e_0()) ....... U66 % p2_3(e_0(), e_0(), e_0()) ....... R1 [B52:L0, U66:L0] % Derivation of unit clause U97: % ~l1_2(x1,x0) | p2_3(x0,x0,x0) ....... B52 % l1_2(a_0(),a_0()) ....... U74 % p2_3(a_0(), a_0(), a_0()) ....... R1 [B52:L0, U74:L0] % Derivation of unit clause U98: % ~l1_2(x1,x0) | p2_3(x0,x0,x0) ....... B52 % l1_2(d_0(),d_0()) ....... U76 % p2_3(d_0(), d_0(), d_0()) ....... R1 [B52:L0, U76:L0] % Derivation of unit clause U113: % ~p2_3(x1,x0,x0) | k3_3(x0,x0,x0) ....... B72 % p2_3(e_0(),e_0(),e_0()) ....... U94 % k3_3(e_0(), e_0(), e_0()) ....... R1 [B72:L0, U94:L0] % Derivation of unit clause U157: % 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 U192: % s0_1(d_0()) ....... B11 % ~s0_1(x0) | ~l1_2(x1,x2) | m2_1(x0) ....... B140 % ~l1_2(x0, x1) | m2_1(d_0()) ....... R1 [B11:L0, B140:L0] % l1_2(e_0(),e_0()) ....... U66 % m2_1(d_0()) ....... R2 [R1:L0, U66:L0] % Derivation of unit clause U241: % ~p4_3(d_0(),x0,a_0()) ....... B0 % ~p4_3(x2,x2,x3) | ~r3_3(x1,x1,x0) | p4_3(x0,x1,x1) ....... B139 % ~p4_3(x0, x0, x1) | ~r3_3(a_0(), a_0(), d_0()) ....... R1 [B0:L0, B139:L2] % ~k3_3(x0,x0,x1) | p4_3(x0,x1,x0) ....... B64 % ~r3_3(a_0(), a_0(), d_0()) | ~k3_3(x0, x0, x0) ....... R2 [R1:L0, B64:L1] % k3_3(e_0(),e_0(),e_0()) ....... U113 % ~r3_3(a_0(), a_0(), d_0()) ....... R3 [R2:L1, U113:L0] % Derivation of unit clause U282: % 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 U358: % n0_2(b_0(),a_0()) ....... B19 % ~s1_1(x1) | ~n0_2(x0,x3) | ~p2_3(x2,x1,x3) | k3_3(x0,x1,x0) ....... B280 % ~s1_1(x0) | ~p2_3(x1, x0, a_0()) | k3_3(b_0(), x0, b_0()) ....... R1 [B19:L0, B280:L1] % s1_1(x0) ....... U157 % ~p2_3(x0, x1, a_0()) | k3_3(b_0(), x1, b_0()) ....... R2 [R1:L0, U157:L0] % p2_3(a_0(),a_0(),a_0()) ....... U97 % k3_3(b_0(), a_0(), b_0()) ....... R3 [R2:L0, U97:L0] % Derivation of unit clause U447: % l0_1(a_0()) ....... B7 % ~l0_1(x0) | ~r1_1(x0) | r2_1(x0) ....... B219 % ~r1_1(a_0()) | r2_1(a_0()) ....... R1 [B7:L0, B219:L0] % ~r2_1(x1) | ~k3_3(x0,x1,x0) | m3_3(x0,x0,x1) ....... B208 % ~r1_1(a_0()) | ~k3_3(x0, a_0(), x0) | m3_3(x0, x0, a_0()) ....... R2 [R1:L1, B208:L0] % r1_1(x0) ....... U282 % ~k3_3(x0, a_0(), x0) | m3_3(x0, x0, a_0()) ....... R3 [R2:L0, U282:L0] % k3_3(b_0(),a_0(),b_0()) ....... U358 % m3_3(b_0(), b_0(), a_0()) ....... R4 [R3:L0, U358:L0] % Derivation of unit clause U642: % ~p2_3(x0,x2,x1) | r3_3(x0,x1,x0) ....... B46 % ~m2_1(x1) | ~m3_3(x2,b_0(),x0) | ~r3_3(x1,x3,x3) | r3_3(x0,x0,x1) ....... B282 % ~p2_3(x0, x1, x0) | ~m2_1(x0) | ~m3_3(x2, b_0(), x3) | r3_3(x3, x3, x0) ....... R1 [B46:L1, B282:L2] % p2_3(d_0(),d_0(),d_0()) ....... U98 % ~m2_1(d_0()) | ~m3_3(x0, b_0(), x1) | r3_3(x1, x1, d_0()) ....... R2 [R1:L0, U98:L0] % m2_1(d_0()) ....... U192 % ~m3_3(x0, b_0(), x1) | r3_3(x1, x1, d_0()) ....... R3 [R2:L0, U192:L0] % m3_3(b_0(),b_0(),a_0()) ....... U447 % r3_3(a_0(), a_0(), d_0()) ....... R4 [R3:L0, U447:L0] % Derivation of the empty clause: % r3_3(a_0(),a_0(),d_0()) ....... U642 % ~r3_3(a_0(),a_0(),d_0()) ....... U241 % [] ....... R1 [U642:L0, U241:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 26212543 % resolvents: 25961568 factors: 250975 % Number of unit clauses generated: 9222230 % % unit clauses generated to total clauses generated: 35.18 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 39 [1] = 94 [2] = 108 [3] = 190 % [4] = 127 [5] = 85 % Total = 643 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 9222230 [2] = 13132330 [3] = 3852064 [4] = 5919 % 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 (+)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 (-)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 (+)0 (-)0 % [32] q5_2 (+)0 (-)0 % [33] r5_2 (+)0 (-)0 % [34] s3_2 (+)12 (-)0 % [35] k3_3 (+)43 (-)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 (+)38 (-)0 % [42] p3_3 (+)34 (-)0 % [43] p4_3 (+)29 (-)1 % [44] p5_3 (+)30 (-)0 % [45] q1_3 (+)53 (-)0 % [46] q2_3 (+)37 (-)0 % [47] r3_3 (+)31 (-)1 % ------------------ % Total: (+)641 (-)2 % Total number of unit clauses retained: 643 % Number of clauses skipped because of their length: 405597637 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 3232327 % Number of successful unifications: 26212573 % Number of unification failures: 49523856 % Number of unit to unit unification failures: 59 % N literal unification failure due to lookup root_id table: 181933808 % N base clause resolution failure due to lookup table: 603542318 % N UC-BCL resolution dropped due to lookup table: 114339 % Max entries in substitution set: 18 % N unit clauses dropped because they exceeded max values: 8372676 % 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: 463 % Total number of terms of all unit clauses in table: 1671 % 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: 0.28 % Number of symbols (columns) in UCFA: 87 % Profile 2: Number of calls to: % ============================== % PTUnify() = 75736429 % ConstructUnitClause() = 8373280 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 9.20 secs % -------------------------------------------------------- % | | % Inferences per sec: 213110 % | | % -------------------------------------------------------- % Elapsed time: 125 secs % CPU time: 123.97 secs % %------------------------------------------------------------------------------