TSTP Solution File: SYN558-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN558-1 : TPTP v5.0.0. Released v2.5.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art06.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 10:20:41 EST 2010
% Result : Unsatisfiable 31.07s
% Output : Refutation 31.07s
% 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/SystemOnTPTP4540/SYN/SYN558-1+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 = 21] [nf = 0] [nu = 9] [ut = 11]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 208] [nf = 14] [nu = 96] [ut = 41]
% Looking for a proof at depth = 3 ...
% t = 0 secs [nr = 977] [nf = 98] [nu = 524] [ut = 57]
% Looking for a proof at depth = 4 ...
% t = 0 secs [nr = 9793] [nf = 526] [nu = 5509] [ut = 63]
% Looking for a proof at depth = 5 ...
% t = 0 secs [nr = 96086] [nf = 7544] [nu = 56518] [ut = 69]
% Looking for a proof at depth = 6 ...
% t = 2 secs [nr = 832558] [nf = 42168] [nu = 478969] [ut = 69]
% Looking for a proof at depth = 7 ...
% t = 15 secs [nr = 5986831] [nf = 387070] [nu = 3327464] [ut = 69]
% Looking for a proof at depth = 8 ...
% Entering time slice 2
% Updating parameters ... done.
% Looking for a proof at depth = 1 ...
% t = 31 secs [nr = 11410857] [nf = 691892] [nu = 6394168] [ut = 69]
% Looking for a proof at depth = 2 ...
% t = 31 secs [nr = 11411158] [nf = 691906] [nu = 6394341] [ut = 71]
% Looking for a proof at depth = 3 ...
% t = 31 secs [nr = 11412605] [nf = 692044] [nu = 6395260] [ut = 71]
% Looking for a proof at depth = 4 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p4_2(x0,x0)
% B1: p6_2(c7_0(),f3_1(x0))
% B2: p5_3(c7_0(),x0,f3_1(x0))
% B8: ~p5_3(x0,x3,x2) | ~p5_3(x0,x1,x3) | p5_3(x0,x1,x2)
% B12: ~p6_2(c7_0(),x0) | ~p6_2(c7_0(),x1) | ~p5_3(c7_0(),x2,x0) | ~p5_3(c7_0(),x2,x1) | p2_2(x0,x1)
% B13: ~p2_2(x4,x2) | ~p2_2(x3,x1) | ~p4_2(x5,x0) | ~p5_3(x5,x3,x4) | p5_3(x0,x1,x2)
% Unit Clauses:
% --------------
% U1: < d0 v1 dv1 f1 c1 t3 td2 b nc > p6_2(c7_0(),f3_1(x0))
% U2: < d0 v2 dv1 f1 c1 t4 td2 b nc > p5_3(c7_0(),x0,f3_1(x0))
% U3: < d0 v0 dv0 f0 c3 t3 td1 b nc > p5_3(c7_0(),c10_0(),c9_0())
% U4: < d0 v0 dv0 f0 c3 t3 td1 b nc > p5_3(c7_0(),c10_0(),c8_0())
% U5: < d0 v2 dv1 f0 c0 t2 td1 b nc > p2_2(x0,x0)
% U11: < d2 v2 dv1 f2 c1 t5 td3 > p5_3(c7_0(),x0,f3_1(f3_1(x0)))
% U12: < d2 v0 dv0 f1 c3 t4 td2 > p5_3(c7_0(),c10_0(),f3_1(c9_0()))
% U13: < d2 v0 dv0 f1 c3 t4 td2 > p5_3(c7_0(),c10_0(),f3_1(c8_0()))
% U49: < d3 v0 dv0 f3 c3 t6 td3 > ~p5_3(c7_0(),f3_1(c8_0()),f3_1(f3_1(c9_0())))
% U94: < d4 v0 dv0 f2 c2 t4 td2 > ~p2_2(f3_1(c9_0()),f3_1(c8_0()))
% U161: < d4 v0 dv0 f2 c2 t4 td2 > p2_2(f3_1(c9_0()),f3_1(c8_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% p6_2(c7_0(),f3_1(x0)) ....... U1
% Derivation of unit clause U2:
% p5_3(c7_0(),x0,f3_1(x0)) ....... U2
% Derivation of unit clause U3:
% p5_3(c7_0(),c10_0(),c9_0()) ....... U3
% Derivation of unit clause U4:
% p5_3(c7_0(),c10_0(),c8_0()) ....... U4
% Derivation of unit clause U5:
% p2_2(x0,x0) ....... U5
% Derivation of unit clause U11:
% p5_3(c7_0(),x0,f3_1(x0)) ....... B2
% ~p5_3(x0,x3,x2) | ~p5_3(x0,x1,x3) | p5_3(x0,x1,x2) ....... B8
% ~p5_3(c7_0(), x0, x1) | p5_3(c7_0(), x0, f3_1(x1)) ....... R1 [B2:L0, B8:L0]
% p5_3(c7_0(),x0,f3_1(x0)) ....... U2
% p5_3(c7_0(), x0, f3_1(f3_1(x0))) ....... R2 [R1:L0, U2:L0]
% Derivation of unit clause U12:
% p5_3(c7_0(),x0,f3_1(x0)) ....... B2
% ~p5_3(x0,x3,x2) | ~p5_3(x0,x1,x3) | p5_3(x0,x1,x2) ....... B8
% ~p5_3(c7_0(), x0, x1) | p5_3(c7_0(), x0, f3_1(x1)) ....... R1 [B2:L0, B8:L0]
% p5_3(c7_0(),c10_0(),c9_0()) ....... U3
% p5_3(c7_0(), c10_0(), f3_1(c9_0())) ....... R2 [R1:L0, U3:L0]
% Derivation of unit clause U13:
% p5_3(c7_0(),x0,f3_1(x0)) ....... B2
% ~p5_3(x0,x3,x2) | ~p5_3(x0,x1,x3) | p5_3(x0,x1,x2) ....... B8
% ~p5_3(c7_0(), x0, x1) | p5_3(c7_0(), x0, f3_1(x1)) ....... R1 [B2:L0, B8:L0]
% p5_3(c7_0(),c10_0(),c8_0()) ....... U4
% p5_3(c7_0(), c10_0(), f3_1(c8_0())) ....... R2 [R1:L0, U4:L0]
% Derivation of unit clause U49:
% p5_3(c7_0(),x0,f3_1(x0)) ....... B2
% ~p5_3(x0,x3,x2) | ~p5_3(x0,x1,x3) | p5_3(x0,x1,x2) ....... B8
% ~p5_3(c7_0(), f3_1(x0), x1) | p5_3(c7_0(), x0, x1) ....... R1 [B2:L0, B8:L1]
% ~p5_3(c7_0(),c9_0(),x0) | ~p5_3(c7_0(),c8_0(),x0) ....... B7
% ~p5_3(c7_0(), f3_1(c8_0()), x0) | ~p5_3(c7_0(), c9_0(), x0) ....... R2 [R1:L1, B7:L1]
% p5_3(c7_0(),x0,f3_1(f3_1(x0))) ....... U11
% ~p5_3(c7_0(), f3_1(c8_0()), f3_1(f3_1(c9_0()))) ....... R3 [R2:L1, U11:L0]
% Derivation of unit clause U94:
% p4_2(x0,x0) ....... B0
% ~p2_2(x4,x2) | ~p2_2(x3,x1) | ~p4_2(x5,x0) | ~p5_3(x5,x3,x4) | p5_3(x0,x1,x2) ....... B13
% ~p2_2(x0, x1) | ~p2_2(x2, x3) | ~p5_3(x4, x2, x0) | p5_3(x4, x3, x1) ....... R1 [B0:L0, B13:L2]
% p2_2(x0,x0) ....... U5
% ~p2_2(x0, x1) | ~p5_3(x2, x0, x3) | p5_3(x2, x1, x3) ....... R2 [R1:L0, U5:L0]
% p5_3(c7_0(),x0,f3_1(x0)) ....... U2
% ~p2_2(x0, x1) | p5_3(c7_0(), x1, f3_1(x0)) ....... R3 [R2:L1, U2:L0]
% ~p5_3(c7_0(),f3_1(c8_0()),f3_1(f3_1(c9_0()))) ....... U49
% ~p2_2(f3_1(c9_0()), f3_1(c8_0())) ....... R4 [R3:L1, U49:L0]
% Derivation of unit clause U161:
% p6_2(c7_0(),f3_1(x0)) ....... B1
% ~p6_2(c7_0(),x0) | ~p6_2(c7_0(),x1) | ~p5_3(c7_0(),x2,x0) | ~p5_3(c7_0(),x2,x1) | p2_2(x0,x1) ....... B12
% ~p6_2(c7_0(), x0) | ~p5_3(c7_0(), x1, f3_1(x2)) | ~p5_3(c7_0(), x1, x0) | p2_2(f3_1(x2), x0) ....... R1 [B1:L0, B12:L0]
% p6_2(c7_0(),f3_1(x0)) ....... U1
% ~p5_3(c7_0(), x0, f3_1(x1)) | ~p5_3(c7_0(), x0, f3_1(x2)) | p2_2(f3_1(x1), f3_1(x2)) ....... R2 [R1:L0, U1:L0]
% p5_3(c7_0(),c10_0(),f3_1(c9_0())) ....... U12
% ~p5_3(c7_0(), c10_0(), f3_1(x0)) | p2_2(f3_1(c9_0()), f3_1(x0)) ....... R3 [R2:L0, U12:L0]
% p5_3(c7_0(),c10_0(),f3_1(c8_0())) ....... U13
% p2_2(f3_1(c9_0()), f3_1(c8_0())) ....... R4 [R3:L0, U13:L0]
% Derivation of the empty clause:
% p2_2(f3_1(c9_0()),f3_1(c8_0())) ....... U161
% ~p2_2(f3_1(c9_0()),f3_1(c8_0())) ....... U94
% [] ....... R1 [U161:L0, U94:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 12125959
% resolvents: 11433824 factors: 692135
% Number of unit clauses generated: 6409700
% % unit clauses generated to total clauses generated: 52.86
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 6 [1] = 5 [2] = 32 [3] = 16
% [4] = 97 [5] = 6
% Total = 162
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 6409700 [2] = 4825892 [3] = 889857 [4] = 508 [5] = 2
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p2_2 (+)40 (-)46
% [1] p4_2 (+)1 (-)0
% [2] p6_2 (+)9 (-)0
% [3] p5_3 (+)26 (-)40
% ------------------
% Total: (+)76 (-)86
% Total number of unit clauses retained: 162
% Number of clauses skipped because of their length: 6215781
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 12125976
% Number of unification failures: 30654945
% Number of unit to unit unification failures: 2848
% N literal unification failure due to lookup root_id table: 7040399
% N base clause resolution failure due to lookup table: 5037355
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 20
% N unit clauses dropped because they exceeded max values: 5568209
% N unit clauses dropped because too much nesting: 3308709
% 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: 9
% Max term depth in a unit clause: 4
% Number of states in UCFA table: 180
% Total number of terms of all unit clauses in table: 847
% 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: 0.21
% Number of symbols (columns) in UCFA: 43
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 42780921
% ConstructUnitClause() = 5568365
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 6.16 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 391160
% | |
% --------------------------------------------------------
% Elapsed time: 31 secs
% CPU time: 31.07 secs
%
%------------------------------------------------------------------------------