TSTP Solution File: SYN653-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN653-1 : TPTP v5.0.0. Released v2.5.0.
% 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 11:05:51 EST 2010
% Result : Unsatisfiable 8.25s
% Output : Refutation 8.25s
% 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/SystemOnTPTP28542/SYN/SYN653-1+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 = 56] [nf = 0] [nu = 26] [ut = 22]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 481] [nf = 28] [nu = 211] [ut = 42]
% Looking for a proof at depth = 3 ...
% t = 1 secs [nr = 3208] [nf = 276] [nu = 1369] [ut = 71]
% Looking for a proof at depth = 4 ...
% t = 1 secs [nr = 40560] [nf = 1350] [nu = 22132] [ut = 288]
% Looking for a proof at depth = 5 ...
% t = 4 secs [nr = 343934] [nf = 14610] [nu = 187553] [ut = 384]
% Looking for a proof at depth = 6 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~p3_2(f11_6(x0,x1,x2,x3,x4,x5),f4_1(x6))
% B1: p12_2(x0,x0)
% B3: p3_2(x0,x0)
% B6: p7_2(x0,x0)
% B9: ~p12_2(f13_1(c22_0()),f13_1(c23_0()))
% B10: p21_2(f11_6(c24_0(),c25_0(),c22_0(),c26_0(),c27_0(),c28_0()),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()))
% B21: ~p21_2(f11_6(x2,x3,x0,x6,x7,x4),x5) | p12_2(f13_1(x0),f13_1(f17_8(x1,x2,x3,x4,x5,x0,x6,x7)))
% B28: ~p12_2(x2,x1) | ~p12_2(x2,x0) | p12_2(x0,x1)
% B33: ~p7_2(x2,x1) | ~p7_2(x2,x0) | p7_2(x0,x1)
% B36: ~p21_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p21_2(x0,x1)
% Unit Clauses:
% --------------
% U3: < d0 v2 dv1 f0 c0 t2 td1 b nc > p3_2(x0,x0)
% U10: < d0 v0 dv0 f2 c12 t14 td2 b nc > p21_2(f11_6(c24_0(),c25_0(),c22_0(),c26_0(),c27_0(),c28_0()),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()))
% U18: < d1 v1 dv1 f4 c13 t18 td4 > p12_2(f13_1(c22_0()),f13_1(f17_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0())))
% U23: < d2 v1 dv1 f4 c13 t18 td4 > p12_2(f13_1(f17_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0())),f13_1(c22_0()))
% U31: < d2 v1 dv1 f4 c13 t18 td4 > ~p12_2(f13_1(f17_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0())),f13_1(c23_0()))
% U45: < d3 v1 dv1 f2 c13 t16 td3 > ~p7_2(f17_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0()),c23_0())
% U50: < d3 v11 dv11 f4 c13 t28 td4 > ~p3_2(f11_6(x0,x1,c23_0(),x2,x3,x4),f11_6(x5,x6,f17_8(x7,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0()),x8,x9,x10))
% U384: < d6 v1 dv1 f1 c6 t8 td2 > ~p3_2(x0,f11_6(c24_0(),c25_0(),c22_0(),c26_0(),c27_0(),c28_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U3:
% p3_2(x0,x0) ....... U3
% Derivation of unit clause U10:
% p21_2(f11_6(c24_0(),c25_0(),c22_0(),c26_0(),c27_0(),c28_0()),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0())) ....... U10
% Derivation of unit clause U18:
% p21_2(f11_6(c24_0(),c25_0(),c22_0(),c26_0(),c27_0(),c28_0()),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0())) ....... B10
% ~p21_2(f11_6(x2,x3,x0,x6,x7,x4),x5) | p12_2(f13_1(x0),f13_1(f17_8(x1,x2,x3,x4,x5,x0,x6,x7))) ....... B21
% p12_2(f13_1(c22_0()), f13_1(f17_8(x0, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0()))) ....... R1 [B10:L0, B21:L0]
% Derivation of unit clause U23:
% p12_2(x0,x0) ....... B1
% ~p12_2(x2,x1) | ~p12_2(x2,x0) | p12_2(x0,x1) ....... B28
% ~p12_2(x0, x1) | p12_2(x1, x0) ....... R1 [B1:L0, B28:L0]
% p12_2(f13_1(c22_0()),f13_1(f17_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0()))) ....... U18
% p12_2(f13_1(f17_8(x0, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0())), f13_1(c22_0())) ....... R2 [R1:L0, U18:L0]
% Derivation of unit clause U31:
% ~p12_2(f13_1(c22_0()),f13_1(c23_0())) ....... B9
% ~p12_2(x2,x1) | ~p12_2(x2,x0) | p12_2(x0,x1) ....... B28
% ~p12_2(x0, f13_1(c23_0())) | ~p12_2(x0, f13_1(c22_0())) ....... R1 [B9:L0, B28:L2]
% p12_2(f13_1(f17_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0())),f13_1(c22_0())) ....... U23
% ~p12_2(f13_1(f17_8(x0, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0())), f13_1(c23_0())) ....... R2 [R1:L1, U23:L0]
% Derivation of unit clause U45:
% p12_2(x0,x0) ....... B1
% ~p12_2(x2,x1) | ~p12_2(x2,x0) | p12_2(x0,x1) ....... B28
% ~p12_2(x0, x1) | p12_2(x0, x1) ....... R1 [B1:L0, B28:L1]
% ~p7_2(x0,x1) | p12_2(f13_1(x0),f13_1(x1)) ....... B25
% p12_2(f13_1(x0), f13_1(x1)) | ~p7_2(x0, x1) ....... R2 [R1:L0, B25:L1]
% ~p12_2(f13_1(f17_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0())),f13_1(c23_0())) ....... U31
% ~p7_2(f17_8(x0, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0()), c23_0()) ....... R3 [R2:L0, U31:L0]
% Derivation of unit clause U50:
% p7_2(x0,x0) ....... B6
% ~p7_2(x2,x1) | ~p7_2(x2,x0) | p7_2(x0,x1) ....... B33
% ~p7_2(x0, x1) | p7_2(x1, x0) ....... R1 [B6:L0, B33:L0]
% ~p3_2(f11_6(x2,x3,x0,x4,x5,x6),f11_6(x7,x8,x1,x9,x10,x11)) | p7_2(x0,x1) ....... B14
% p7_2(x0, x1) | ~p3_2(f11_6(x2, x3, x1, x4, x5, x6), f11_6(x7, x8, x0, x9, x10, x11)) ....... R2 [R1:L0, B14:L1]
% ~p7_2(f17_8(x0,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0()),c23_0()) ....... U45
% ~p3_2(f11_6(x0, x1, c23_0(), x2, x3, x4), f11_6(x5, x6, f17_8(x7, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0()), x8, x9, x10)) ....... R3 [R2:L0, U45:L0]
% Derivation of unit clause U384:
% p3_2(x0,x0) ....... B3
% ~p21_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p21_2(x0,x1) ....... B36
% ~p21_2(x0, x1) | ~p3_2(x0, x2) | p21_2(x2, x1) ....... R1 [B3:L0, B36:L1]
% p21_2(f11_6(c24_0(),c25_0(),c22_0(),c26_0(),c27_0(),c28_0()),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0())) ....... U10
% ~p3_2(f11_6(c24_0(), c25_0(), c22_0(), c26_0(), c27_0(), c28_0()), x0) | p21_2(x0, f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0())) ....... R2 [R1:L0, U10:L0]
% ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B30
% p21_2(x0, f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0())) | ~p3_2(x1, x0) | ~p3_2(x1, f11_6(c24_0(), c25_0(), c22_0(), c26_0(), c27_0(), c28_0())) ....... R3 [R2:L0, B30:L2]
% p21_2(f11_6(c24_0(), c25_0(), c22_0(), c26_0(), c27_0(), c28_0()), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0())) | ~p3_2(x0, f11_6(c24_0(), c25_0(), c22_0(), c26_0(), c27_0(), c28_0())) ....... R4 [R3:L2, R3:L1]
% ~p21_2(f11_6(x2,x3,x5,x6,x7,x4),x0) | p3_2(x0,f11_6(f19_8(x1,x2,x3,x4,x0,x5,x6,x7),f18_8(x1,x2,x3,x4,x0,x5,x6,x7),f17_8(x1,x2,x3,x4,x0,x5,x6,x7),f16_8(x1,x2,x3,x4,x0,x5,x6,x7),f15_8(x1,x2,x3,x4,x0,x5,x6,x7),f14_8(x1,x2,x3,x4,x0,x5,x6,x7))) ....... B47
% ~p3_2(x0, f11_6(c24_0(), c25_0(), c22_0(), c26_0(), c27_0(), c28_0())) | p3_2(f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), f11_6(f19_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0()), f18_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0()), f17_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0()), f16_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0()), f15_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0()), f14_8(x1, c24_0(), c25_0(), c28_0(), f11_6(c29_0(), c30_0(), c23_0(), c31_0(), c32_0(), c33_0()), c22_0(), c26_0(), c27_0()))) ....... R5 [R4:L0, B47:L0]
% ~p3_2(f11_6(x0,x1,c23_0(),x2,x3,x4),f11_6(x5,x6,f17_8(x7,c24_0(),c25_0(),c28_0(),f11_6(c29_0(),c30_0(),c23_0(),c31_0(),c32_0(),c33_0()),c22_0(),c26_0(),c27_0()),x8,x9,x10)) ....... U50
% ~p3_2(x0, f11_6(c24_0(), c25_0(), c22_0(), c26_0(), c27_0(), c28_0())) ....... R6 [R5:L1, U50:L0]
% Derivation of the empty clause:
% ~p3_2(x0,f11_6(c24_0(),c25_0(),c22_0(),c26_0(),c27_0(),c28_0())) ....... U384
% p3_2(x0,x0) ....... U3
% [] ....... R1 [U384:L0, U3:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 713324
% resolvents: 689046 factors: 24278
% Number of unit clauses generated: 379255
% % unit clauses generated to total clauses generated: 53.17
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 12 [1] = 10 [2] = 20 [3] = 29
% [4] = 217 [5] = 96 [6] = 1
% Total = 385
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 379255 [2] = 292450 [3] = 41579 [4] = 40
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p10_2 (+)1 (-)0
% [1] p12_2 (+)7 (-)4
% [2] p21_2 (+)86 (-)6
% [3] p2_2 (+)174 (-)0
% [4] p3_2 (+)61 (-)27
% [5] p5_2 (+)1 (-)0
% [6] p6_2 (+)1 (-)0
% [7] p7_2 (+)1 (-)4
% [8] p8_2 (+)6 (-)0
% [9] p9_2 (+)6 (-)0
% ------------------
% Total: (+)344 (-)41
% Total number of unit clauses retained: 385
% Number of clauses skipped because of their length: 682798
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 21190
% Number of successful unifications: 713341
% Number of unification failures: 8598141
% Number of unit to unit unification failures: 2134
% N literal unification failure due to lookup root_id table: 1541816
% N base clause resolution failure due to lookup table: 1830470
% N UC-BCL resolution dropped due to lookup table: 688123
% Max entries in substitution set: 26
% N unit clauses dropped because they exceeded max values: 334313
% N unit clauses dropped because too much nesting: 52451
% 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: 56
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 4166
% Total number of terms of all unit clauses in table: 10975
% Max allowed number of states in UCFA: 496000
% Ratio n states used/total allowed states: 0.01
% Ratio n states used/total unit clauses terms: 0.38
% Number of symbols (columns) in UCFA: 66
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 9311482
% ConstructUnitClause() = 334686
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.56 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 89166
% | |
% --------------------------------------------------------
% Elapsed time: 8 secs
% CPU time: 8.23 secs
%
%------------------------------------------------------------------------------