TSTP Solution File: SYN591-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN591-1 : TPTP v5.0.0. Released v2.5.0.
% 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 10:34:16 EST 2010
% Result : Unsatisfiable 7.11s
% Output : Refutation 7.11s
% 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/SystemOnTPTP14565/SYN/SYN591-1+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 = 76] [nf = 0] [nu = 54] [ut = 46]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 1634] [nf = 16] [nu = 1094] [ut = 151]
% Looking for a proof at depth = 3 ...
% t = 1 secs [nr = 95019] [nf = 164] [nu = 84680] [ut = 243]
% Looking for a proof at depth = 4 ...
% t = 4 secs [nr = 1359621] [nf = 7290] [nu = 1230083] [ut = 283]
% Looking for a proof at depth = 5 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p10_2(c14_0(),x0)
% B1: p2_2(x0,x0)
% B2: p3_2(x0,x0)
% B9: p12_2(c14_0(),f4_2(c18_0(),c17_0()))
% B10: ~p11_2(c13_0(),f4_2(c17_0(),f6_1(c18_0())))
% B11: ~p11_2(c13_0(),f4_2(f6_1(c18_0()),c17_0()))
% B16: ~p12_2(c14_0(),f4_2(x0,c17_0())) | p2_2(f6_1(x0),f5_1(x0))
% B17: ~p2_2(x1,x3) | ~p2_2(x0,x2) | p3_2(f4_2(x0,x1),f4_2(x2,x3))
% B19: ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1)
% B24: ~p11_2(x3,x2) | ~p3_2(x2,x1) | ~p7_2(x3,x0) | p11_2(x0,x1)
% Unit Clauses:
% --------------
% U9: < d0 v0 dv0 f1 c3 t4 td2 b nc > p12_2(c14_0(),f4_2(c18_0(),c17_0()))
% U12: < d0 v2 dv1 f0 c0 t2 td1 b nc > p7_2(x0,x0)
% U18: < d1 v0 dv0 f2 c2 t4 td2 > p2_2(f6_1(c18_0()),f5_1(c18_0()))
% U49: < d2 v2 dv1 f4 c2 t8 td3 > p3_2(f4_2(f6_1(c18_0()),x0),f4_2(f5_1(c18_0()),x0))
% U58: < d2 v2 dv1 f4 c2 t8 td3 > p3_2(f4_2(x0,f6_1(c18_0())),f4_2(x0,f5_1(c18_0())))
% U76: < d2 v2 dv1 f4 c2 t8 td3 > p3_2(f4_2(f5_1(c18_0()),x0),f4_2(f6_1(c18_0()),x0))
% U79: < d2 v2 dv1 f4 c2 t8 td3 > p3_2(f4_2(x0,f5_1(c18_0())),f4_2(x0,f6_1(c18_0())))
% U211: < d3 v0 dv0 f2 c3 t5 td3 > ~p11_2(c13_0(),f4_2(c17_0(),f5_1(c18_0())))
% U212: < d3 v0 dv0 f2 c3 t5 td3 > ~p11_2(c13_0(),f4_2(f5_1(c18_0()),c17_0()))
% U283: < d5 v0 dv0 f2 c3 t5 td3 > p11_2(c13_0(),f4_2(f5_1(c18_0()),c17_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U9:
% p12_2(c14_0(),f4_2(c18_0(),c17_0())) ....... U9
% Derivation of unit clause U12:
% p7_2(x0,x0) ....... U12
% Derivation of unit clause U18:
% p12_2(c14_0(),f4_2(c18_0(),c17_0())) ....... B9
% ~p12_2(c14_0(),f4_2(x0,c17_0())) | p2_2(f6_1(x0),f5_1(x0)) ....... B16
% p2_2(f6_1(c18_0()), f5_1(c18_0())) ....... R1 [B9:L0, B16:L0]
% Derivation of unit clause U49:
% p2_2(x0,x0) ....... B1
% ~p2_2(x1,x3) | ~p2_2(x0,x2) | p3_2(f4_2(x0,x1),f4_2(x2,x3)) ....... B17
% ~p2_2(x0, x1) | p3_2(f4_2(x0, x2), f4_2(x1, x2)) ....... R1 [B1:L0, B17:L0]
% p2_2(f6_1(c18_0()),f5_1(c18_0())) ....... U18
% p3_2(f4_2(f6_1(c18_0()), x0), f4_2(f5_1(c18_0()), x0)) ....... R2 [R1:L0, U18:L0]
% Derivation of unit clause U58:
% p2_2(x0,x0) ....... B1
% ~p2_2(x1,x3) | ~p2_2(x0,x2) | p3_2(f4_2(x0,x1),f4_2(x2,x3)) ....... B17
% ~p2_2(x0, x1) | p3_2(f4_2(x2, x0), f4_2(x2, x1)) ....... R1 [B1:L0, B17:L1]
% p2_2(f6_1(c18_0()),f5_1(c18_0())) ....... U18
% p3_2(f4_2(x0, f6_1(c18_0())), f4_2(x0, f5_1(c18_0()))) ....... R2 [R1:L0, U18:L0]
% Derivation of unit clause U76:
% p3_2(x0,x0) ....... B2
% ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B19
% ~p3_2(x0, x1) | p3_2(x1, x0) ....... R1 [B2:L0, B19:L0]
% p3_2(f4_2(f6_1(c18_0()),x0),f4_2(f5_1(c18_0()),x0)) ....... U49
% p3_2(f4_2(f5_1(c18_0()), x0), f4_2(f6_1(c18_0()), x0)) ....... R2 [R1:L0, U49:L0]
% Derivation of unit clause U79:
% p3_2(x0,x0) ....... B2
% ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B19
% ~p3_2(x0, x1) | p3_2(x1, x0) ....... R1 [B2:L0, B19:L0]
% p3_2(f4_2(x0,f6_1(c18_0())),f4_2(x0,f5_1(c18_0()))) ....... U58
% p3_2(f4_2(x0, f5_1(c18_0())), f4_2(x0, f6_1(c18_0()))) ....... R2 [R1:L0, U58:L0]
% Derivation of unit clause U211:
% ~p11_2(c13_0(),f4_2(c17_0(),f6_1(c18_0()))) ....... B10
% ~p11_2(x3,x2) | ~p3_2(x2,x1) | ~p7_2(x3,x0) | p11_2(x0,x1) ....... B24
% ~p11_2(x0, x1) | ~p3_2(x1, f4_2(c17_0(), f6_1(c18_0()))) | ~p7_2(x0, c13_0()) ....... R1 [B10:L0, B24:L3]
% p3_2(f4_2(x0,f5_1(c18_0())),f4_2(x0,f6_1(c18_0()))) ....... U79
% ~p11_2(x0, f4_2(c17_0(), f5_1(c18_0()))) | ~p7_2(x0, c13_0()) ....... R2 [R1:L1, U79:L0]
% p7_2(x0,x0) ....... U12
% ~p11_2(c13_0(), f4_2(c17_0(), f5_1(c18_0()))) ....... R3 [R2:L1, U12:L0]
% Derivation of unit clause U212:
% ~p11_2(c13_0(),f4_2(f6_1(c18_0()),c17_0())) ....... B11
% ~p11_2(x3,x2) | ~p3_2(x2,x1) | ~p7_2(x3,x0) | p11_2(x0,x1) ....... B24
% ~p11_2(x0, x1) | ~p3_2(x1, f4_2(f6_1(c18_0()), c17_0())) | ~p7_2(x0, c13_0()) ....... R1 [B11:L0, B24:L3]
% p3_2(f4_2(f5_1(c18_0()),x0),f4_2(f6_1(c18_0()),x0)) ....... U76
% ~p11_2(x0, f4_2(f5_1(c18_0()), c17_0())) | ~p7_2(x0, c13_0()) ....... R2 [R1:L1, U76:L0]
% p7_2(x0,x0) ....... U12
% ~p11_2(c13_0(), f4_2(f5_1(c18_0()), c17_0())) ....... R3 [R2:L1, U12:L0]
% Derivation of unit clause U283:
% p3_2(x0,x0) ....... B2
% ~p11_2(x3,x2) | ~p3_2(x2,x1) | ~p7_2(x3,x0) | p11_2(x0,x1) ....... B24
% ~p11_2(x0, x1) | ~p7_2(x0, x2) | p11_2(x2, x1) ....... R1 [B2:L0, B24:L1]
% p7_2(x0,x0) ....... U12
% ~p11_2(x0, x1) | p11_2(x0, x1) ....... R2 [R1:L1, U12:L0]
% ~p12_2(c14_0(),f4_2(x0,c17_0())) | p11_2(c13_0(),f4_2(c17_0(),f5_1(x0))) | p11_2(c13_0(),f4_2(f5_1(x0),c17_0())) ....... B26
% p11_2(c13_0(), f4_2(c17_0(), f5_1(x0))) | ~p12_2(c14_0(), f4_2(x0, c17_0())) | p11_2(c13_0(), f4_2(f5_1(x0), c17_0())) ....... R3 [R2:L0, B26:L1]
% ~p11_2(c13_0(),f4_2(c17_0(),f5_1(c18_0()))) ....... U211
% ~p12_2(c14_0(), f4_2(c18_0(), c17_0())) | p11_2(c13_0(), f4_2(f5_1(c18_0()), c17_0())) ....... R4 [R3:L0, U211:L0]
% p12_2(c14_0(),f4_2(c18_0(),c17_0())) ....... U9
% p11_2(c13_0(), f4_2(f5_1(c18_0()), c17_0())) ....... R5 [R4:L0, U9:L0]
% Derivation of the empty clause:
% p11_2(c13_0(),f4_2(f5_1(c18_0()),c17_0())) ....... U283
% ~p11_2(c13_0(),f4_2(f5_1(c18_0()),c17_0())) ....... U212
% [] ....... R1 [U283:L0, U212:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 2905031
% resolvents: 2877627 factors: 27404
% Number of unit clauses generated: 2604950
% % unit clauses generated to total clauses generated: 89.67
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 13 [1] = 33 [2] = 105 [3] = 92
% [4] = 40 [5] = 1
% Total = 284
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 2604950 [2] = 269289 [3] = 30792
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p8_1 (+)1 (-)0
% [1] p9_1 (+)1 (-)0
% [2] p10_2 (+)64 (-)0
% [3] p11_2 (+)4 (-)4
% [4] p12_2 (+)1 (-)0
% [5] p2_2 (+)91 (-)2
% [6] p3_2 (+)115 (-)0
% [7] p7_2 (+)1 (-)0
% ------------------
% Total: (+)278 (-)6
% Total number of unit clauses retained: 284
% Number of clauses skipped because of their length: 502142
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 2905051
% Number of unification failures: 3333213
% Number of unit to unit unification failures: 197
% N literal unification failure due to lookup root_id table: 621694
% N base clause resolution failure due to lookup table: 264076
% N UC-BCL resolution dropped due to lookup table: 385
% Max entries in substitution set: 11
% N unit clauses dropped because they exceeded max values: 2323265
% N unit clauses dropped because too much nesting: 1906731
% 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: 10
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 828
% Total number of terms of all unit clauses in table: 2229
% Max allowed number of states in UCFA: 96000
% Ratio n states used/total allowed states: 0.01
% Ratio n states used/total unit clauses terms: 0.37
% Number of symbols (columns) in UCFA: 51
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 6238264
% ConstructUnitClause() = 2323536
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 2.78 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 415004
% | |
% --------------------------------------------------------
% Elapsed time: 7 secs
% CPU time: 7.11 secs
%
%------------------------------------------------------------------------------