TSTP Solution File: SYN143-1 by CARINE---0.734
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- Process Solution
%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN143-1 : TPTP v5.0.0. Released v1.1.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Nov 28 08:38:04 EST 2010
% Result : Unsatisfiable 124.96s
% Output : Refutation 124.96s
% 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/SystemOnTPTP12976/SYN/SYN143-1+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 = 1 secs [nr = 839] [nf = 0] [nu = 406] [ut = 134]
% Looking for a proof at depth = 2 ...
% t = 1 secs [nr = 6547] [nf = 78] [nu = 2298] [ut = 242]
% Looking for a proof at depth = 3 ...
% t = 1 secs [nr = 104590] [nf = 631] [nu = 37259] [ut = 428]
% Looking for a proof at depth = 4 ...
% t = 6 secs [nr = 1178063] [nf = 10852] [nu = 429937] [ut = 527]
% Looking for a proof at depth = 5 ...
% t = 66 secs [nr = 13747709] [nf = 135837] [nu = 5007611] [ut = 614]
% Looking for a proof at depth = 6 ...
% Entering time slice 2
% Updating parameters ... done.
% Looking for a proof at depth = 1 ...
% t = 124 secs [nr = 25494774] [nf = 248978] [nu = 8991559] [ut = 614]
% Looking for a proof at depth = 2 ...
% t = 124 secs [nr = 25501956] [nf = 249056] [nu = 8994106] [ut = 614]
% Looking for a proof at depth = 3 ...
% t = 125 secs [nr = 25616494] [nf = 249834] [nu = 9038264] [ut = 620]
% Looking for a proof at depth = 4 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~m5_2(d_0(),d_0())
% B1: m0_3(x0,d_0(),x1)
% B2: p0_2(b_0(),x0)
% B3: q0_2(x0,d_0())
% B6: k0_1(b_0())
% B7: l0_1(a_0())
% B19: n0_2(b_0(),a_0())
% B39: ~p1_3(x1,x2,x0) | n2_1(x0)
% B48: ~n0_2(x1,x0) | l1_2(x0,x0)
% B55: ~n0_2(x1,x0) | p1_3(x0,x0,x0)
% B57: ~p0_2(x1,x0) | p1_3(x0,x0,x0)
% B81: ~p0_2(x0,x0) | s1_1(x0)
% B87: ~n2_1(x0) | p3_3(x0,x0,x0)
% B132: ~l1_2(x0,x2) | ~p3_3(x1,x2,x3) | s4_1(x0)
% B141: ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0)
% B200: ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1)
% B228: ~s4_1(x0) | ~m4_2(e_0(),e_0()) | m5_2(x0,x0)
% B276: ~s1_1(x2) | ~p0_2(x1,x1) | ~m0_3(x3,x2,x0) | l2_2(x0,x0)
% B281: ~s2_1(x0) | ~m0_3(x2,x3,x1) | ~q2_3(x2,x0,x2) | s3_2(x0,x1)
% B296: ~l0_1(x2) | ~l1_2(x2,x0) | ~n1_3(x0,x1,x0) | n1_3(x0,x1,x1)
% B314: ~n1_3(x1,x0,x2) | ~p1_3(x0,x0,x2) | ~q2_3(x1,x2,x0) | q2_3(x0,x1,x0)
% B320: ~l0_1(x0) | ~s0_1(b_0()) | ~p0_2(b_0(),x1) | n1_3(x0,x1,x0)
% Unit Clauses:
% --------------
% U2: < d0 v1 dv1 f0 c1 t2 td1 b > p0_2(b_0(),x0)
% U7: < d0 v0 dv0 f0 c1 t1 td1 b > l0_1(a_0())
% U12: < d0 v0 dv0 f0 c1 t1 td1 b > s0_1(b_0())
% U14: < d0 v0 dv0 f0 c2 t2 td1 b > n0_2(d_0(),b_0())
% U20: < d0 v0 dv0 f0 c2 t2 td1 b > n0_2(c_0(),d_0())
% U45: < d1 v3 dv1 f0 c0 t3 td1 > p1_3(x0,x0,x0)
% U48: < d1 v0 dv0 f0 c1 t1 td1 > s1_1(b_0())
% U75: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(a_0(),a_0())
% U89: < d1 v1 dv1 f0 c0 t1 td1 > n2_1(x0)
% U126: < d1 v3 dv1 f0 c0 t3 td1 > p3_3(x0,x0,x0)
% U158: < d2 v1 dv1 f0 c0 t1 td1 > s1_1(x0)
% U173: < d2 v1 dv1 f0 c2 t3 td1 > q2_3(x0,b_0(),b_0())
% U248: < d3 v2 dv1 f0 c0 t2 td1 > l2_2(x0,x0)
% U277: < d3 v1 dv1 f0 c2 t3 td1 > n1_3(a_0(),x0,a_0())
% U306: < d3 v2 dv1 f0 c1 t3 td1 > n1_3(a_0(),x0,x0)
% U387: < d3 v0 dv0 f0 c1 t1 td1 > s4_1(d_0())
% U429: < d4 v0 dv0 f0 c2 t2 td1 > ~s3_2(a_0(),e_0())
% U439: < d4 v0 dv0 f0 c1 t1 td1 > ~s2_1(a_0())
% U442: < d4 v0 dv0 f0 c3 t3 td1 > ~q2_3(b_0(),a_0(),b_0())
% U749: < d4 v0 dv0 f0 c3 t3 td1 > q2_3(b_0(),a_0(),b_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% p0_2(b_0(),x0) ....... U2
% Derivation of unit clause U7:
% l0_1(a_0()) ....... U7
% Derivation of unit clause U12:
% s0_1(b_0()) ....... U12
% Derivation of unit clause U14:
% n0_2(d_0(),b_0()) ....... U14
% Derivation of unit clause U20:
% n0_2(c_0(),d_0()) ....... U20
% 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 U48:
% 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 U75:
% 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 U89:
% ~p1_3(x1,x2,x0) | n2_1(x0) ....... B39
% p1_3(x0,x0,x0) ....... U45
% n2_1(x0) ....... R1 [B39:L0, U45:L0]
% Derivation of unit clause U126:
% ~n2_1(x0) | p3_3(x0,x0,x0) ....... B87
% n2_1(x0) ....... U89
% p3_3(x0, x0, x0) ....... R1 [B87:L0, U89: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()) ....... U48
% s1_1(x0) ....... R2 [R1:L0, U48:L0]
% Derivation of unit clause U173:
% k0_1(b_0()) ....... B6
% ~k0_1(x1) | ~p1_3(x0,x0,x0) | q2_3(x0,x1,x1) ....... B200
% ~p1_3(x0, x0, x0) | q2_3(x0, b_0(), b_0()) ....... R1 [B6:L0, B200:L0]
% p1_3(x0,x0,x0) ....... U45
% q2_3(x0, b_0(), b_0()) ....... R2 [R1:L0, U45:L0]
% Derivation of unit clause U248:
% 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 U277:
% p0_2(b_0(),x0) ....... B2
% ~l0_1(x0) | ~s0_1(b_0()) | ~p0_2(b_0(),x1) | n1_3(x0,x1,x0) ....... B320
% ~l0_1(x0) | ~s0_1(b_0()) | n1_3(x0, x1, x0) ....... R1 [B2:L0, B320:L2]
% l0_1(a_0()) ....... U7
% ~s0_1(b_0()) | n1_3(a_0(), x0, a_0()) ....... R2 [R1:L0, U7:L0]
% s0_1(b_0()) ....... U12
% n1_3(a_0(), x0, a_0()) ....... R3 [R2:L0, U12:L0]
% Derivation of unit clause U306:
% l0_1(a_0()) ....... B7
% ~l0_1(x2) | ~l1_2(x2,x0) | ~n1_3(x0,x1,x0) | n1_3(x0,x1,x1) ....... B296
% ~l1_2(a_0(), x0) | ~n1_3(x0, x1, x0) | n1_3(x0, x1, x1) ....... R1 [B7:L0, B296:L0]
% l1_2(a_0(),a_0()) ....... U75
% ~n1_3(a_0(), x0, a_0()) | n1_3(a_0(), x0, x0) ....... R2 [R1:L0, U75:L0]
% n1_3(a_0(),x0,a_0()) ....... U277
% n1_3(a_0(), x0, x0) ....... R3 [R2:L0, U277:L0]
% Derivation of unit clause U387:
% ~n0_2(x1,x0) | l1_2(x0,x0) ....... B48
% ~l1_2(x0,x2) | ~p3_3(x1,x2,x3) | s4_1(x0) ....... B132
% ~n0_2(x0, x1) | ~p3_3(x2, x1, x3) | s4_1(x1) ....... R1 [B48:L1, B132:L0]
% n0_2(c_0(),d_0()) ....... U20
% ~p3_3(x0, d_0(), x1) | s4_1(d_0()) ....... R2 [R1:L0, U20:L0]
% p3_3(x0,x0,x0) ....... U126
% s4_1(d_0()) ....... R3 [R2:L0, U126:L0]
% Derivation of unit clause U429:
% ~m5_2(d_0(),d_0()) ....... B0
% ~s4_1(x0) | ~m4_2(e_0(),e_0()) | m5_2(x0,x0) ....... B228
% ~s4_1(d_0()) | ~m4_2(e_0(), e_0()) ....... R1 [B0:L0, B228:L2]
% ~l2_2(x2,x1) | ~s3_2(a_0(),x0) | m4_2(x0,x1) ....... B147
% ~s4_1(d_0()) | ~l2_2(x0, e_0()) | ~s3_2(a_0(), e_0()) ....... R2 [R1:L1, B147:L2]
% s4_1(d_0()) ....... U387
% ~l2_2(x0, e_0()) | ~s3_2(a_0(), e_0()) ....... R3 [R2:L0, U387:L0]
% l2_2(x0,x0) ....... U248
% ~s3_2(a_0(), e_0()) ....... R4 [R3:L0, U248:L0]
% Derivation of unit clause U439:
% m0_3(x0,d_0(),x1) ....... B1
% ~s2_1(x0) | ~m0_3(x2,x3,x1) | ~q2_3(x2,x0,x2) | s3_2(x0,x1) ....... B281
% ~s2_1(x0) | ~q2_3(x1, x0, x1) | s3_2(x0, x2) ....... R1 [B1:L0, B281:L1]
% ~s3_2(a_0(),e_0()) ....... U429
% ~s2_1(a_0()) | ~q2_3(x0, a_0(), x0) ....... R2 [R1:L2, U429:L0]
% ~l1_2(x1,x0) | q2_3(x0,x0,x1) ....... B53
% ~s2_1(a_0()) | ~l1_2(a_0(), a_0()) ....... R3 [R2:L1, B53:L1]
% l1_2(a_0(),a_0()) ....... U75
% ~s2_1(a_0()) ....... R4 [R3:L1, U75:L0]
% Derivation of unit clause U442:
% 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()) | ~q2_3(b_0(),x0,b_0()) | s2_1(x0) ....... B229
% ~s1_1(x0) | ~q2_3(b_0(), x1, b_0()) | s2_1(x1) ....... R2 [R1:L1, B229:L0]
% s1_1(b_0()) ....... U48
% ~q2_3(b_0(), x0, b_0()) | s2_1(x0) ....... R3 [R2:L0, U48:L0]
% ~s2_1(a_0()) ....... U439
% ~q2_3(b_0(), a_0(), b_0()) ....... R4 [R3:L1, U439:L0]
% Derivation of unit clause U749:
% ~n0_2(x1,x0) | p1_3(x0,x0,x0) ....... B55
% ~n1_3(x1,x0,x2) | ~p1_3(x0,x0,x2) | ~q2_3(x1,x2,x0) | q2_3(x0,x1,x0) ....... B314
% ~n0_2(x0, x1) | ~n1_3(x2, x1, x1) | ~q2_3(x2, x1, x1) | q2_3(x1, x2, x1) ....... R1 [B55:L1, B314:L1]
% n0_2(d_0(),b_0()) ....... U14
% ~n1_3(x0, b_0(), b_0()) | ~q2_3(x0, b_0(), b_0()) | q2_3(b_0(), x0, b_0()) ....... R2 [R1:L0, U14:L0]
% n1_3(a_0(),x0,x0) ....... U306
% ~q2_3(a_0(), b_0(), b_0()) | q2_3(b_0(), a_0(), b_0()) ....... R3 [R2:L0, U306:L0]
% q2_3(x0,b_0(),b_0()) ....... U173
% q2_3(b_0(), a_0(), b_0()) ....... R4 [R3:L0, U173:L0]
% Derivation of the empty clause:
% q2_3(b_0(),a_0(),b_0()) ....... U749
% ~q2_3(b_0(),a_0(),b_0()) ....... U442
% [] ....... R1 [U749:L0, U442:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 26608488
% resolvents: 26354178 factors: 254310
% Number of unit clauses generated: 9345523
% % unit clauses generated to total clauses generated: 35.12
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 39 [1] = 95 [2] = 108 [3] = 192
% [4] = 229 [5] = 87
% Total = 750
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 9345523 [2] = 13332125 [3] = 3923884 [4] = 6956
% 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 (+)2 (-)1
% [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 (-)1
% [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 (-)1
% [17] s4_1 (+)5 (-)0
% [18] s5_1 (+)6 (-)0
% [19] k2_2 (+)20 (-)0
% [20] l1_2 (+)7 (-)1
% [21] l2_2 (+)14 (-)0
% [22] l3_2 (+)14 (-)0
% [23] m4_2 (+)0 (-)1
% [24] m5_2 (+)10 (-)1
% [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 (+)22 (-)0
% [32] q5_2 (+)0 (-)0
% [33] r5_2 (+)0 (-)0
% [34] s3_2 (+)13 (-)1
% [35] k3_3 (+)49 (-)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 (+)46 (-)0
% [42] p3_3 (+)50 (-)0
% [43] p4_3 (+)37 (-)0
% [44] p5_3 (+)30 (-)0
% [45] q1_3 (+)53 (-)0
% [46] q2_3 (+)41 (-)1
% [47] r3_3 (+)42 (-)0
% ------------------
% Total: (+)741 (-)9
% Total number of unit clauses retained: 750
% Number of clauses skipped because of their length: 422974813
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 3296696
% Number of successful unifications: 26608525
% Number of unification failures: 49708310
% Number of unit to unit unification failures: 80
% N literal unification failure due to lookup root_id table: 184207890
% N base clause resolution failure due to lookup table: 622598020
% N UC-BCL resolution dropped due to lookup table: 338280
% Max entries in substitution set: 18
% N unit clauses dropped because they exceeded max values: 8487148
% 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: 499
% Total number of terms of all unit clauses in table: 1933
% 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: 0.26
% Number of symbols (columns) in UCFA: 87
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 76316835
% ConstructUnitClause() = 8487859
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 9.46 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 214585
% | |
% --------------------------------------------------------
% Elapsed time: 128 secs
% CPU time: 124.95 secs
%
%------------------------------------------------------------------------------