TSTP Solution File: SYN096-1.008 by CARINE---0.734
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- Process Solution
%------------------------------------------------------------------------------
% 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
%
%------------------------------------------------------------------------------