%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN096-1.008 : TPTP v5.0.0. Bugfixed v1.2.1. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art04.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 08:31:35 EST 2010 % Result : Unsatisfiable 39.75s % Output : Refutation 39.75s % 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/SystemOnTPTP2470/SYN/SYN096-1.008+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 = 12] [nf = 0] [nu = 0] [ut = 4] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 78] [nf = 0] [nu = 10] [ut = 8] % Looking for a proof at depth = 3 ... % t = 0 secs [nr = 206] [nf = 8] [nu = 22] [ut = 8] % Looking for a proof at depth = 4 ... % t = 0 secs [nr = 648] [nf = 16] [nu = 150] [ut = 12] % Looking for a proof at depth = 5 ... % t = 0 secs [nr = 1760] [nf = 48] [nu = 282] [ut = 12] % Looking for a proof at depth = 6 ... % t = 0 secs [nr = 6600] [nf = 96] [nu = 1710] [ut = 16] % Looking for a proof at depth = 7 ... % t = 0 secs [nr = 20960] [nf = 384] [nu = 4434] [ut = 16] % Looking for a proof at depth = 8 ... % t = 0 secs [nr = 85662] [nf = 1292] [nu = 22216] [ut = 20] % Looking for a proof at depth = 9 ... % t = 1 secs [nr = 309972] [nf = 4584] [nu = 83190] [ut = 20] % Looking for a proof at depth = 10 ... % t = 3 secs [nr = 1141290] [nf = 19396] [nu = 293476] [ut = 24] % Looking for a proof at depth = 11 ... % t = 11 secs [nr = 4079088] [nf = 60064] [nu = 1094706] [ut = 24] % Looking for a proof at depth = 12 ... % t = 41 secs [nr = 14664934] [nf = 260396] [nu = 3794496] [ut = 28] % Looking for a proof at depth = 13 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~p_0_1(x0) | ~q_0_1(x0) % B1: p_14_1(a_0()) % B19: ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) % B22: ~p_14_1(x0) | ~p_15_1(x0) | p_13_1(x0) % B24: ~p_14_1(x0) | ~q_15_1(x0) | q_13_1(x0) % B26: ~p_1_1(x0) | ~p_2_1(x0) | p_0_1(x0) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f0 c1 t1 td1 b > p_15_1(a_0()) % U3: < d0 v0 dv0 f0 c1 t1 td1 b > q_15_1(a_0()) % U4: < d2 v0 dv0 f0 c1 t1 td1 > p_13_1(a_0()) % U5: < d2 v0 dv0 f0 c1 t1 td1 > q_13_1(a_0()) % U8: < d4 v0 dv0 f0 c1 t1 td1 > p_11_1(a_0()) % U9: < d4 v0 dv0 f0 c1 t1 td1 > q_11_1(a_0()) % U12: < d6 v0 dv0 f0 c1 t1 td1 > p_9_1(a_0()) % U13: < d6 v0 dv0 f0 c1 t1 td1 > p_8_1(a_0()) % U14: < d6 v0 dv0 f0 c1 t1 td1 > q_9_1(a_0()) % U15: < d6 v0 dv0 f0 c1 t1 td1 > q_8_1(a_0()) % U16: < d8 v0 dv0 f0 c1 t1 td1 > p_7_1(a_0()) % U17: < d8 v0 dv0 f0 c1 t1 td1 > q_7_1(a_0()) % U18: < d8 v0 dv0 f0 c1 t1 td1 > p_6_1(a_0()) % U19: < d8 v0 dv0 f0 c1 t1 td1 > q_6_1(a_0()) % U20: < d10 v0 dv0 f0 c1 t1 td1 > p_5_1(a_0()) % U21: < d10 v0 dv0 f0 c1 t1 td1 > q_5_1(a_0()) % U22: < d10 v0 dv0 f0 c1 t1 td1 > p_4_1(a_0()) % U23: < d10 v0 dv0 f0 c1 t1 td1 > q_4_1(a_0()) % U24: < d12 v0 dv0 f0 c1 t1 td1 > p_3_1(a_0()) % U25: < d12 v0 dv0 f0 c1 t1 td1 > q_3_1(a_0()) % U26: < d12 v0 dv0 f0 c1 t1 td1 > p_2_1(a_0()) % U27: < d12 v0 dv0 f0 c1 t1 td1 > q_2_1(a_0()) % U28: < d13 v0 dv0 f0 c1 t1 td1 > ~p_6_1(a_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % p_15_1(a_0()) ....... U1 % Derivation of unit clause U3: % q_15_1(a_0()) ....... U3 % Derivation of unit clause U4: % p_14_1(a_0()) ....... B1 % ~p_14_1(x0) | ~p_15_1(x0) | p_13_1(x0) ....... B22 % ~p_15_1(a_0()) | p_13_1(a_0()) ....... R1 [B1:L0, B22:L0] % p_15_1(a_0()) ....... U1 % p_13_1(a_0()) ....... R2 [R1:L0, U1:L0] % Derivation of unit clause U5: % p_14_1(a_0()) ....... B1 % ~p_14_1(x0) | ~q_15_1(x0) | q_13_1(x0) ....... B24 % ~q_15_1(a_0()) | q_13_1(a_0()) ....... R1 [B1:L0, B24:L0] % q_15_1(a_0()) ....... U3 % q_13_1(a_0()) ....... R2 [R1:L0, U3:L0] % Derivation of unit clause U8: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_12_1(x0) | ~p_13_1(x0) | p_11_1(x0) ....... B16 % ~p_13_1(a_0()) | ~p_13_1(a_0()) | p_11_1(a_0()) ....... R2 [R1:L1, B16:L0] % ~p_13_1(a_0()) | p_11_1(a_0()) ....... R3 [R2:L0, R2:L1] % p_13_1(a_0()) ....... U4 % p_11_1(a_0()) ....... R4 [R3:L0, U4:L0] % Derivation of unit clause U9: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_12_1(x0) | ~q_13_1(x0) | q_11_1(x0) ....... B18 % ~p_13_1(a_0()) | ~q_13_1(a_0()) | q_11_1(a_0()) ....... R2 [R1:L1, B18:L0] % p_13_1(a_0()) ....... U4 % ~q_13_1(a_0()) | q_11_1(a_0()) ....... R3 [R2:L0, U4:L0] % q_13_1(a_0()) ....... U5 % q_11_1(a_0()) ....... R4 [R3:L0, U5:L0] % Derivation of unit clause U12: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_11_1(x0) | p_9_1(x0) ....... B9 % ~p_11_1(a_0()) | ~p_11_1(a_0()) | p_9_1(a_0()) ....... R4 [R3:L1, B9:L0] % ~p_11_1(a_0()) | p_9_1(a_0()) ....... R5 [R4:L0, R4:L1] % p_11_1(a_0()) ....... U8 % p_9_1(a_0()) ....... R6 [R5:L0, U8:L0] % Derivation of unit clause U13: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_9_1(x0) | p_8_1(x0) ....... B10 % ~p_11_1(a_0()) | ~p_9_1(a_0()) | p_8_1(a_0()) ....... R4 [R3:L1, B10:L0] % p_11_1(a_0()) ....... U8 % ~p_9_1(a_0()) | p_8_1(a_0()) ....... R5 [R4:L0, U8:L0] % p_9_1(a_0()) ....... U12 % p_8_1(a_0()) ....... R6 [R5:L0, U12:L0] % Derivation of unit clause U14: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~q_11_1(x0) | q_9_1(x0) ....... B11 % ~p_11_1(a_0()) | ~q_11_1(a_0()) | q_9_1(a_0()) ....... R4 [R3:L1, B11:L0] % p_11_1(a_0()) ....... U8 % ~q_11_1(a_0()) | q_9_1(a_0()) ....... R5 [R4:L0, U8:L0] % q_11_1(a_0()) ....... U9 % q_9_1(a_0()) ....... R6 [R5:L0, U9:L0] % Derivation of unit clause U15: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~q_9_1(x0) | q_8_1(x0) ....... B12 % ~p_11_1(a_0()) | ~q_9_1(a_0()) | q_8_1(a_0()) ....... R4 [R3:L1, B12:L0] % p_11_1(a_0()) ....... U8 % ~q_9_1(a_0()) | q_8_1(a_0()) ....... R5 [R4:L0, U8:L0] % q_9_1(a_0()) ....... U14 % q_8_1(a_0()) ....... R6 [R5:L0, U14:L0] % Derivation of unit clause U16: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_11_1(x0) | p_9_1(x0) ....... B9 % ~p_11_1(a_0()) | ~p_11_1(a_0()) | p_9_1(a_0()) ....... R4 [R3:L1, B9:L0] % ~p_11_1(a_0()) | p_9_1(a_0()) ....... R5 [R4:L0, R4:L1] % ~p_8_1(x0) | ~p_9_1(x0) | p_7_1(x0) ....... B46 % ~p_11_1(a_0()) | ~p_8_1(a_0()) | p_7_1(a_0()) ....... R6 [R5:L1, B46:L1] % p_11_1(a_0()) ....... U8 % ~p_8_1(a_0()) | p_7_1(a_0()) ....... R7 [R6:L0, U8:L0] % p_8_1(a_0()) ....... U13 % p_7_1(a_0()) ....... R8 [R7:L0, U13:L0] % Derivation of unit clause U17: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_11_1(x0) | p_9_1(x0) ....... B9 % ~p_11_1(a_0()) | ~p_11_1(a_0()) | p_9_1(a_0()) ....... R4 [R3:L1, B9:L0] % ~p_11_1(a_0()) | p_9_1(a_0()) ....... R5 [R4:L0, R4:L1] % ~p_9_1(x0) | ~q_8_1(x0) | q_7_1(x0) ....... B50 % ~p_11_1(a_0()) | ~q_8_1(a_0()) | q_7_1(a_0()) ....... R6 [R5:L1, B50:L0] % p_11_1(a_0()) ....... U8 % ~q_8_1(a_0()) | q_7_1(a_0()) ....... R7 [R6:L0, U8:L0] % q_8_1(a_0()) ....... U15 % q_7_1(a_0()) ....... R8 [R7:L0, U15:L0] % Derivation of unit clause U18: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_9_1(x0) | p_8_1(x0) ....... B10 % ~p_11_1(a_0()) | ~p_9_1(a_0()) | p_8_1(a_0()) ....... R4 [R3:L1, B10:L0] % p_11_1(a_0()) ....... U8 % ~p_9_1(a_0()) | p_8_1(a_0()) ....... R5 [R4:L0, U8:L0] % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B43 % ~p_9_1(a_0()) | ~p_7_1(a_0()) | p_6_1(a_0()) ....... R6 [R5:L1, B43:L1] % p_9_1(a_0()) ....... U12 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R7 [R6:L0, U12:L0] % p_7_1(a_0()) ....... U16 % p_6_1(a_0()) ....... R8 [R7:L0, U16:L0] % Derivation of unit clause U19: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_9_1(x0) | p_8_1(x0) ....... B10 % ~p_11_1(a_0()) | ~p_9_1(a_0()) | p_8_1(a_0()) ....... R4 [R3:L1, B10:L0] % p_11_1(a_0()) ....... U8 % ~p_9_1(a_0()) | p_8_1(a_0()) ....... R5 [R4:L0, U8:L0] % ~p_8_1(x0) | ~q_7_1(x0) | q_6_1(x0) ....... B47 % ~p_9_1(a_0()) | ~q_7_1(a_0()) | q_6_1(a_0()) ....... R6 [R5:L1, B47:L0] % p_9_1(a_0()) ....... U12 % ~q_7_1(a_0()) | q_6_1(a_0()) ....... R7 [R6:L0, U12:L0] % q_7_1(a_0()) ....... U17 % q_6_1(a_0()) ....... R8 [R7:L0, U17:L0] % Derivation of unit clause U20: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_11_1(x0) | p_9_1(x0) ....... B9 % ~p_11_1(a_0()) | ~p_11_1(a_0()) | p_9_1(a_0()) ....... R4 [R3:L1, B9:L0] % ~p_11_1(a_0()) | p_9_1(a_0()) ....... R5 [R4:L0, R4:L1] % ~p_8_1(x0) | ~p_9_1(x0) | p_7_1(x0) ....... B46 % ~p_11_1(a_0()) | ~p_8_1(a_0()) | p_7_1(a_0()) ....... R6 [R5:L1, B46:L1] % p_11_1(a_0()) ....... U8 % ~p_8_1(a_0()) | p_7_1(a_0()) ....... R7 [R6:L0, U8:L0] % ~p_6_1(x0) | ~p_7_1(x0) | p_5_1(x0) ....... B40 % ~p_8_1(a_0()) | ~p_6_1(a_0()) | p_5_1(a_0()) ....... R8 [R7:L1, B40:L1] % p_8_1(a_0()) ....... U13 % ~p_6_1(a_0()) | p_5_1(a_0()) ....... R9 [R8:L0, U13:L0] % p_6_1(a_0()) ....... U18 % p_5_1(a_0()) ....... R10 [R9:L0, U18:L0] % Derivation of unit clause U21: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_11_1(x0) | p_9_1(x0) ....... B9 % ~p_11_1(a_0()) | ~p_11_1(a_0()) | p_9_1(a_0()) ....... R4 [R3:L1, B9:L0] % ~p_11_1(a_0()) | p_9_1(a_0()) ....... R5 [R4:L0, R4:L1] % ~p_8_1(x0) | ~p_9_1(x0) | p_7_1(x0) ....... B46 % ~p_11_1(a_0()) | ~p_8_1(a_0()) | p_7_1(a_0()) ....... R6 [R5:L1, B46:L1] % p_11_1(a_0()) ....... U8 % ~p_8_1(a_0()) | p_7_1(a_0()) ....... R7 [R6:L0, U8:L0] % ~p_7_1(x0) | ~q_6_1(x0) | q_5_1(x0) ....... B44 % ~p_8_1(a_0()) | ~q_6_1(a_0()) | q_5_1(a_0()) ....... R8 [R7:L1, B44:L0] % p_8_1(a_0()) ....... U13 % ~q_6_1(a_0()) | q_5_1(a_0()) ....... R9 [R8:L0, U13:L0] % q_6_1(a_0()) ....... U19 % q_5_1(a_0()) ....... R10 [R9:L0, U19:L0] % Derivation of unit clause U22: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_9_1(x0) | p_8_1(x0) ....... B10 % ~p_11_1(a_0()) | ~p_9_1(a_0()) | p_8_1(a_0()) ....... R4 [R3:L1, B10:L0] % p_11_1(a_0()) ....... U8 % ~p_9_1(a_0()) | p_8_1(a_0()) ....... R5 [R4:L0, U8:L0] % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B43 % ~p_9_1(a_0()) | ~p_7_1(a_0()) | p_6_1(a_0()) ....... R6 [R5:L1, B43:L1] % p_9_1(a_0()) ....... U12 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R7 [R6:L0, U12:L0] % ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B37 % ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R8 [R7:L1, B37:L1] % p_7_1(a_0()) ....... U16 % ~p_5_1(a_0()) | p_4_1(a_0()) ....... R9 [R8:L0, U16:L0] % p_5_1(a_0()) ....... U20 % p_4_1(a_0()) ....... R10 [R9:L0, U20:L0] % Derivation of unit clause U23: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_9_1(x0) | p_8_1(x0) ....... B10 % ~p_11_1(a_0()) | ~p_9_1(a_0()) | p_8_1(a_0()) ....... R4 [R3:L1, B10:L0] % p_11_1(a_0()) ....... U8 % ~p_9_1(a_0()) | p_8_1(a_0()) ....... R5 [R4:L0, U8:L0] % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B43 % ~p_9_1(a_0()) | ~p_7_1(a_0()) | p_6_1(a_0()) ....... R6 [R5:L1, B43:L1] % p_9_1(a_0()) ....... U12 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R7 [R6:L0, U12:L0] % ~p_6_1(x0) | ~q_5_1(x0) | q_4_1(x0) ....... B41 % ~p_7_1(a_0()) | ~q_5_1(a_0()) | q_4_1(a_0()) ....... R8 [R7:L1, B41:L0] % p_7_1(a_0()) ....... U16 % ~q_5_1(a_0()) | q_4_1(a_0()) ....... R9 [R8:L0, U16:L0] % q_5_1(a_0()) ....... U21 % q_4_1(a_0()) ....... R10 [R9:L0, U21:L0] % Derivation of unit clause U24: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_11_1(x0) | p_9_1(x0) ....... B9 % ~p_11_1(a_0()) | ~p_11_1(a_0()) | p_9_1(a_0()) ....... R4 [R3:L1, B9:L0] % ~p_11_1(a_0()) | p_9_1(a_0()) ....... R5 [R4:L0, R4:L1] % ~p_8_1(x0) | ~p_9_1(x0) | p_7_1(x0) ....... B46 % ~p_11_1(a_0()) | ~p_8_1(a_0()) | p_7_1(a_0()) ....... R6 [R5:L1, B46:L1] % p_11_1(a_0()) ....... U8 % ~p_8_1(a_0()) | p_7_1(a_0()) ....... R7 [R6:L0, U8:L0] % ~p_6_1(x0) | ~p_7_1(x0) | p_5_1(x0) ....... B40 % ~p_8_1(a_0()) | ~p_6_1(a_0()) | p_5_1(a_0()) ....... R8 [R7:L1, B40:L1] % p_8_1(a_0()) ....... U13 % ~p_6_1(a_0()) | p_5_1(a_0()) ....... R9 [R8:L0, U13:L0] % ~p_4_1(x0) | ~p_5_1(x0) | p_3_1(x0) ....... B34 % ~p_6_1(a_0()) | ~p_4_1(a_0()) | p_3_1(a_0()) ....... R10 [R9:L1, B34:L1] % p_6_1(a_0()) ....... U18 % ~p_4_1(a_0()) | p_3_1(a_0()) ....... R11 [R10:L0, U18:L0] % p_4_1(a_0()) ....... U22 % p_3_1(a_0()) ....... R12 [R11:L0, U22:L0] % Derivation of unit clause U25: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_11_1(x0) | p_9_1(x0) ....... B9 % ~p_11_1(a_0()) | ~p_11_1(a_0()) | p_9_1(a_0()) ....... R4 [R3:L1, B9:L0] % ~p_11_1(a_0()) | p_9_1(a_0()) ....... R5 [R4:L0, R4:L1] % ~p_8_1(x0) | ~p_9_1(x0) | p_7_1(x0) ....... B46 % ~p_11_1(a_0()) | ~p_8_1(a_0()) | p_7_1(a_0()) ....... R6 [R5:L1, B46:L1] % p_11_1(a_0()) ....... U8 % ~p_8_1(a_0()) | p_7_1(a_0()) ....... R7 [R6:L0, U8:L0] % ~p_6_1(x0) | ~p_7_1(x0) | p_5_1(x0) ....... B40 % ~p_8_1(a_0()) | ~p_6_1(a_0()) | p_5_1(a_0()) ....... R8 [R7:L1, B40:L1] % p_8_1(a_0()) ....... U13 % ~p_6_1(a_0()) | p_5_1(a_0()) ....... R9 [R8:L0, U13:L0] % ~p_5_1(x0) | ~q_4_1(x0) | q_3_1(x0) ....... B38 % ~p_6_1(a_0()) | ~q_4_1(a_0()) | q_3_1(a_0()) ....... R10 [R9:L1, B38:L0] % p_6_1(a_0()) ....... U18 % ~q_4_1(a_0()) | q_3_1(a_0()) ....... R11 [R10:L0, U18:L0] % q_4_1(a_0()) ....... U23 % q_3_1(a_0()) ....... R12 [R11:L0, U23:L0] % Derivation of unit clause U26: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_9_1(x0) | p_8_1(x0) ....... B10 % ~p_11_1(a_0()) | ~p_9_1(a_0()) | p_8_1(a_0()) ....... R4 [R3:L1, B10:L0] % p_11_1(a_0()) ....... U8 % ~p_9_1(a_0()) | p_8_1(a_0()) ....... R5 [R4:L0, U8:L0] % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B43 % ~p_9_1(a_0()) | ~p_7_1(a_0()) | p_6_1(a_0()) ....... R6 [R5:L1, B43:L1] % p_9_1(a_0()) ....... U12 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R7 [R6:L0, U12:L0] % ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B37 % ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R8 [R7:L1, B37:L1] % p_7_1(a_0()) ....... U16 % ~p_5_1(a_0()) | p_4_1(a_0()) ....... R9 [R8:L0, U16:L0] % ~p_3_1(x0) | ~p_4_1(x0) | p_2_1(x0) ....... B31 % ~p_5_1(a_0()) | ~p_3_1(a_0()) | p_2_1(a_0()) ....... R10 [R9:L1, B31:L1] % p_5_1(a_0()) ....... U20 % ~p_3_1(a_0()) | p_2_1(a_0()) ....... R11 [R10:L0, U20:L0] % p_3_1(a_0()) ....... U24 % p_2_1(a_0()) ....... R12 [R11:L0, U24:L0] % Derivation of unit clause U27: % p_14_1(a_0()) ....... B1 % ~p_13_1(x0) | ~p_14_1(x0) | p_12_1(x0) ....... B19 % ~p_13_1(a_0()) | p_12_1(a_0()) ....... R1 [B1:L0, B19:L1] % ~p_11_1(x0) | ~p_12_1(x0) | p_10_1(x0) ....... B13 % ~p_13_1(a_0()) | ~p_11_1(a_0()) | p_10_1(a_0()) ....... R2 [R1:L1, B13:L1] % p_13_1(a_0()) ....... U4 % ~p_11_1(a_0()) | p_10_1(a_0()) ....... R3 [R2:L0, U4:L0] % ~p_10_1(x0) | ~p_9_1(x0) | p_8_1(x0) ....... B10 % ~p_11_1(a_0()) | ~p_9_1(a_0()) | p_8_1(a_0()) ....... R4 [R3:L1, B10:L0] % p_11_1(a_0()) ....... U8 % ~p_9_1(a_0()) | p_8_1(a_0()) ....... R5 [R4:L0, U8:L0] % ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B43 % ~p_9_1(a_0()) | ~p_7_1(a_0()) | p_6_1(a_0()) ....... R6 [R5:L1, B43:L1] % p_9_1(a_0()) ....... U12 % ~p_7_1(a_0()) | p_6_1(a_0()) ....... R7 [R6:L0, U12:L0] % ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B37 % ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R8 [R7:L1, B37:L1] % p_7_1(a_0()) ....... U16 % ~p_5_1(a_0()) | p_4_1(a_0()) ....... R9 [R8:L0, U16:L0] % ~p_4_1(x0) | ~q_3_1(x0) | q_2_1(x0) ....... B35 % ~p_5_1(a_0()) | ~q_3_1(a_0()) | q_2_1(a_0()) ....... R10 [R9:L1, B35:L0] % p_5_1(a_0()) ....... U20 % ~q_3_1(a_0()) | q_2_1(a_0()) ....... R11 [R10:L0, U20:L0] % q_3_1(a_0()) ....... U25 % q_2_1(a_0()) ....... R12 [R11:L0, U25:L0] % Derivation of unit clause U28: % ~p_0_1(x0) | ~q_0_1(x0) ....... B0 % ~p_1_1(x0) | ~p_2_1(x0) | p_0_1(x0) ....... B26 % ~q_0_1(x0) | ~p_1_1(x0) | ~p_2_1(x0) ....... R1 [B0:L0, B26:L2] % p_2_1(a_0()) ....... U26 % ~q_0_1(a_0()) | ~p_1_1(a_0()) ....... R2 [R1:L2, U26:L0] % ~p_1_1(x0) | ~q_2_1(x0) | q_0_1(x0) ....... B27 % ~p_1_1(a_0()) | ~p_1_1(a_0()) | ~q_2_1(a_0()) ....... R3 [R2:L0, B27:L2] % ~p_1_1(a_0()) | ~q_2_1(a_0()) ....... R4 [R3:L0, R3:L1] % ~p_2_1(x0) | ~p_3_1(x0) | p_1_1(x0) ....... B28 % ~q_2_1(a_0()) | ~p_2_1(a_0()) | ~p_3_1(a_0()) ....... R5 [R4:L0, B28:L2] % q_2_1(a_0()) ....... U27 % ~p_2_1(a_0()) | ~p_3_1(a_0()) ....... R6 [R5:L0, U27:L0] % ~p_3_1(x0) | ~p_4_1(x0) | p_2_1(x0) ....... B31 % ~p_3_1(a_0()) | ~p_3_1(a_0()) | ~p_4_1(a_0()) ....... R7 [R6:L0, B31:L2] % ~p_3_1(a_0()) | ~p_4_1(a_0()) ....... R8 [R7:L0, R7:L1] % ~p_4_1(x0) | ~p_5_1(x0) | p_3_1(x0) ....... B34 % ~p_4_1(a_0()) | ~p_4_1(a_0()) | ~p_5_1(a_0()) ....... R9 [R8:L0, B34:L2] % ~p_4_1(a_0()) | ~p_5_1(a_0()) ....... R10 [R9:L0, R9:L1] % ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B37 % ~p_5_1(a_0()) | ~p_5_1(a_0()) | ~p_6_1(a_0()) ....... R11 [R10:L0, B37:L2] % ~p_5_1(a_0()) | ~p_6_1(a_0()) ....... R12 [R11:L0, R11:L1] % p_5_1(a_0()) ....... U20 % ~p_6_1(a_0()) ....... R13 [R12:L0, U20:L0] % Derivation of the empty clause: % ~p_6_1(a_0()) ....... U28 % p_6_1(a_0()) ....... U18 % [] ....... R1 [U28:L0, U18:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 14925350 % resolvents: 14664950 factors: 260400 % Number of unit clauses generated: 3794504 % % unit clauses generated to total clauses generated: 25.42 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 4 [2] = 4 [4] = 4 [6] = 4 [8] = 4 [10] = 4 [12] = 4 [13] = 1 % Total = 29 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 3794504 [2] = 4619892 [3] = 6510954 % Average size of a generated clause: 3.0 % Number of unit clauses per predicate list: % ========================================== % [0] p_0_1 (+)0 (-)0 % [1] p_10_1 (+)1 (-)0 % [2] p_11_1 (+)1 (-)0 % [3] p_12_1 (+)1 (-)0 % [4] p_13_1 (+)1 (-)0 % [5] p_14_1 (+)1 (-)0 % [6] p_15_1 (+)1 (-)0 % [7] p_16_1 (+)0 (-)0 % [8] p_1_1 (+)0 (-)0 % [9] p_2_1 (+)1 (-)0 % [10] p_3_1 (+)1 (-)0 % [11] p_4_1 (+)1 (-)0 % [12] p_5_1 (+)1 (-)0 % [13] p_6_1 (+)1 (-)1 % [14] p_7_1 (+)1 (-)0 % [15] p_8_1 (+)1 (-)0 % [16] p_9_1 (+)1 (-)0 % [17] q_0_1 (+)0 (-)0 % [18] q_10_1 (+)1 (-)0 % [19] q_11_1 (+)1 (-)0 % [20] q_12_1 (+)1 (-)0 % [21] q_13_1 (+)1 (-)0 % [22] q_14_1 (+)1 (-)0 % [23] q_15_1 (+)1 (-)0 % [24] q_16_1 (+)0 (-)0 % [25] q_1_1 (+)0 (-)0 % [26] q_2_1 (+)1 (-)0 % [27] q_3_1 (+)1 (-)0 % [28] q_4_1 (+)1 (-)0 % [29] q_5_1 (+)1 (-)0 % [30] q_6_1 (+)1 (-)0 % [31] q_7_1 (+)1 (-)0 % [32] q_8_1 (+)1 (-)0 % [33] q_9_1 (+)1 (-)0 % ------------------ % Total: (+)28 (-)1 % Total number of unit clauses retained: 29 % Number of clauses skipped because of their length: 155844628 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 1273700 % Number of successful unifications: 14925519 % Number of unification failures: 0 % Number of unit to unit unification failures: 0 % N literal unification failure due to lookup root_id table: 47091475 % N base clause resolution failure due to lookup table: 114333871 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 7 % N unit clauses dropped because they exceeded max values: 2697478 % 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: 1 % Max term depth in a unit clause: 1 % Number of states in UCFA table: 32 % Total number of terms of all unit clauses in table: 29 % 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: 1.10 % Number of symbols (columns) in UCFA: 69 % Profile 2: Number of calls to: % ============================== % PTUnify() = 14925519 % ConstructUnitClause() = 2697503 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 2.62 secs % -------------------------------------------------------- % | | % Inferences per sec: 382701 % | | % -------------------------------------------------------- % Elapsed time: 41 secs % CPU time: 39.75 secs % %------------------------------------------------------------------------------