TSTP Solution File: SYN651-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN651-1 : 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 11:05:40 EST 2010
% Result : Unsatisfiable 0.54s
% Output : Refutation 0.54s
% 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/SystemOnTPTP28300/SYN/SYN651-1+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 = 72] [nf = 0] [nu = 11] [ut = 20]
% Looking for a proof at depth = 2 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B11: p23_2(f5_2(c27_0(),c28_0()),c30_0())
% B12: p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c30_0()),c29_0())
% B13: ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),f12_2(c25_0(),c26_0()))),c27_0()),c28_0()),c29_0())
% B15: ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x1)),x0),x2),x3) | p23_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c31_0(),x1),x2),x0),x3)),x3)
% B20: ~p23_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),x4) | ~p23_2(f5_2(x1,x4),x3) | p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x0)),x1),x2),x3)
% B42: ~p23_2(f5_2(f7_2(f10_2(c24_0(),c26_0()),c27_0()),x2),x1) | ~p23_2(f5_2(c27_0(),x0),x2) | p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),x0),x1)
% B44: ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x0)),x1),x2),x3) | p23_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c31_0(),x0),x2),x1),x3))
% Unit Clauses:
% --------------
% U16: < d1 v0 dv0 f5 c7 t12 td6 > p23_2(f5_2(c27_0(),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())),c29_0())
% U19: < d1 v0 dv0 f7 c9 t16 td5 > p23_2(f5_2(f7_2(f10_2(c24_0(),c26_0()),c27_0()),c30_0()),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0()))
% U80: < d2 v0 dv0 f8 c10 t18 td5 > p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c28_0()),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0()))
% U82: < d2 v0 dv0 f5 c7 t12 td6 > ~p23_2(f5_2(c27_0(),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())),c29_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U16:
% p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c30_0()),c29_0()) ....... B12
% ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x1)),x0),x2),x3) | p23_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c31_0(),x1),x2),x0),x3)),x3) ....... B15
% p23_2(f5_2(c27_0(), f14_2(f16_2(f18_2(f20_2(c31_0(), c26_0()), c30_0()), c27_0()), c29_0())), c29_0()) ....... R1 [B12:L0, B15:L0]
% Derivation of unit clause U19:
% p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c30_0()),c29_0()) ....... B12
% ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x0)),x1),x2),x3) | p23_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c31_0(),x0),x2),x1),x3)) ....... B44
% p23_2(f5_2(f7_2(f10_2(c24_0(), c26_0()), c27_0()), c30_0()), f14_2(f16_2(f18_2(f20_2(c31_0(), c26_0()), c30_0()), c27_0()), c29_0())) ....... R1 [B12:L0, B44:L0]
% Derivation of unit clause U80:
% p23_2(f5_2(c27_0(),c28_0()),c30_0()) ....... B11
% ~p23_2(f5_2(f7_2(f10_2(c24_0(),c26_0()),c27_0()),x2),x1) | ~p23_2(f5_2(c27_0(),x0),x2) | p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),x0),x1) ....... B42
% ~p23_2(f5_2(f7_2(f10_2(c24_0(), c26_0()), c27_0()), c30_0()), x0) | p23_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), c27_0()), c28_0()), x0) ....... R1 [B11:L0, B42:L1]
% p23_2(f5_2(f7_2(f10_2(c24_0(),c26_0()),c27_0()),c30_0()),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())) ....... U19
% p23_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), c27_0()), c28_0()), f14_2(f16_2(f18_2(f20_2(c31_0(), c26_0()), c30_0()), c27_0()), c29_0())) ....... R2 [R1:L0, U19:L0]
% Derivation of unit clause U82:
% ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),f12_2(c25_0(),c26_0()))),c27_0()),c28_0()),c29_0()) ....... B13
% ~p23_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),x4) | ~p23_2(f5_2(x1,x4),x3) | p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x0)),x1),x2),x3) ....... B20
% ~p23_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), c27_0()), c28_0()), x0) | ~p23_2(f5_2(c27_0(), x0), c29_0()) ....... R1 [B13:L0, B20:L2]
% p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c28_0()),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())) ....... U80
% ~p23_2(f5_2(c27_0(), f14_2(f16_2(f18_2(f20_2(c31_0(), c26_0()), c30_0()), c27_0()), c29_0())), c29_0()) ....... R2 [R1:L0, U80:L0]
% Derivation of the empty clause:
% ~p23_2(f5_2(c27_0(),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())),c29_0()) ....... U82
% p23_2(f5_2(c27_0(),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())),c29_0()) ....... U16
% [] ....... R1 [U82:L0, U16:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 297
% resolvents: 297 factors: 0
% Number of unit clauses generated: 159
% % unit clauses generated to total clauses generated: 53.54
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 15 [1] = 5 [2] = 63
% Total = 83
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 159 [2] = 134 [3] = 4
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p11_2 (+)1 (-)0
% [1] p13_2 (+)15 (-)0
% [2] p15_2 (+)9 (-)0
% [3] p17_2 (+)2 (-)0
% [4] p19_2 (+)1 (-)0
% [5] p21_2 (+)1 (-)0
% [6] p23_2 (+)10 (-)2
% [7] p2_2 (+)8 (-)0
% [8] p3_2 (+)20 (-)0
% [9] p4_2 (+)9 (-)0
% [10] p6_2 (+)2 (-)0
% [11] p8_2 (+)1 (-)0
% [12] p9_2 (+)2 (-)0
% ------------------
% Total: (+)81 (-)2
% Total number of unit clauses retained: 83
% Number of clauses skipped because of their length: 1123
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 303
% Number of unification failures: 73
% Number of unit to unit unification failures: 13
% N literal unification failure due to lookup root_id table: 283
% N base clause resolution failure due to lookup table: 987
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 8
% N unit clauses dropped because they exceeded max values: 86
% 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: 30
% Max term depth in a unit clause: 8
% Number of states in UCFA table: 777
% Total number of terms of all unit clauses in table: 1202
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.65
% Number of symbols (columns) in UCFA: 67
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 376
% ConstructUnitClause() = 154
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.52 secs
%
%------------------------------------------------------------------------------