TSTP Solution File: SYN621-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN621-1 : 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 10:51:20 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/SystemOnTPTP15863/SYN/SYN621-1+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 = 4183] [nf = 0] [nu = 4131] [ut = 3037]
% Looking for a proof at depth = 2 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B5: ~p2_2(c23_0(),f3_1(c24_0()))
% B6: ~p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f15_2(f19_2(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c27_0()),f16_1(f3_1(f17_1(f18_1(c24_0()))))))
% B8: p22_2(f20_4(x1,x0,x2,x3),f14_1(f11_2(x1,f12_2(x0,x2)))) | p2_2(x0,f3_1(c24_0()))
% B15: ~p22_2(x0,f14_1(f11_2(c25_0(),f12_2(c23_0(),c26_0())))) | p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),x0)))
% B24: ~p21_2(x2,x1) | ~p21_2(x0,x2) | p21_2(x0,x1)
% B33: p21_2(f5_1(f6_2(x1,f20_4(x2,x0,x3,x1))),f15_2(f19_2(f11_2(x2,f12_2(x0,x3)),x1),f16_1(f3_1(f17_1(f18_1(c24_0())))))) | p2_2(x0,f3_1(c24_0()))
% Unit Clauses:
% --------------
% U13: < d1 v5 dv3 f4 c2 t11 td4 > p22_2(f20_4(x0,c23_0(),x1,x2),f14_1(f11_2(x0,f12_2(c23_0(),x1))))
% U14: < d1 v7 dv3 f11 c3 t21 td6 > p21_2(f5_1(f6_2(x0,f20_4(x1,c23_0(),x2,x0))),f15_2(f19_2(f11_2(x1,f12_2(c23_0(),x2)),x0),f16_1(f3_1(f17_1(f18_1(c24_0()))))))
% U3036: < d1 v1 dv1 f8 c10 t19 td6 > p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),f20_4(c25_0(),c23_0(),c26_0(),x0))))
% U8969: < d2 v0 dv0 f8 c11 t19 td6 > ~p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),f20_4(c25_0(),c23_0(),c26_0(),c27_0()))))
% --------------- Start of Proof ---------------
% Derivation of unit clause U13:
% ~p2_2(c23_0(),f3_1(c24_0())) ....... B5
% p22_2(f20_4(x1,x0,x2,x3),f14_1(f11_2(x1,f12_2(x0,x2)))) | p2_2(x0,f3_1(c24_0())) ....... B8
% p22_2(f20_4(x0, c23_0(), x1, x2), f14_1(f11_2(x0, f12_2(c23_0(), x1)))) ....... R1 [B5:L0, B8:L1]
% Derivation of unit clause U14:
% ~p2_2(c23_0(),f3_1(c24_0())) ....... B5
% p21_2(f5_1(f6_2(x1,f20_4(x2,x0,x3,x1))),f15_2(f19_2(f11_2(x2,f12_2(x0,x3)),x1),f16_1(f3_1(f17_1(f18_1(c24_0())))))) | p2_2(x0,f3_1(c24_0())) ....... B33
% p21_2(f5_1(f6_2(x0, f20_4(x1, c23_0(), x2, x0))), f15_2(f19_2(f11_2(x1, f12_2(c23_0(), x2)), x0), f16_1(f3_1(f17_1(f18_1(c24_0())))))) ....... R1 [B5:L0, B33:L1]
% Derivation of unit clause U3036:
% ~p22_2(x0,f14_1(f11_2(c25_0(),f12_2(c23_0(),c26_0())))) | p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),x0))) ....... B15
% p22_2(f20_4(x0,c23_0(),x1,x2),f14_1(f11_2(x0,f12_2(c23_0(),x1)))) ....... U13
% p21_2(f5_1(f6_2(c27_0(), f9_3(f11_2(c25_0(), f12_2(c23_0(), c26_0())), c28_0(), c27_0()))), f5_1(f6_2(c27_0(), f20_4(c25_0(), c23_0(), c26_0(), x0)))) ....... R1 [B15:L0, U13:L0]
% Derivation of unit clause U8969:
% ~p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f15_2(f19_2(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c27_0()),f16_1(f3_1(f17_1(f18_1(c24_0())))))) ....... B6
% ~p21_2(x2,x1) | ~p21_2(x0,x2) | p21_2(x0,x1) ....... B24
% ~p21_2(x0, f15_2(f19_2(f11_2(c25_0(), f12_2(c23_0(), c26_0())), c27_0()), f16_1(f3_1(f17_1(f18_1(c24_0())))))) | ~p21_2(f5_1(f6_2(c27_0(), f9_3(f11_2(c25_0(), f12_2(c23_0(), c26_0())), c28_0(), c27_0()))), x0) ....... R1 [B6:L0, B24:L2]
% p21_2(f5_1(f6_2(x0,f20_4(x1,c23_0(),x2,x0))),f15_2(f19_2(f11_2(x1,f12_2(c23_0(),x2)),x0),f16_1(f3_1(f17_1(f18_1(c24_0())))))) ....... U14
% ~p21_2(f5_1(f6_2(c27_0(), f9_3(f11_2(c25_0(), f12_2(c23_0(), c26_0())), c28_0(), c27_0()))), f5_1(f6_2(c27_0(), f20_4(c25_0(), c23_0(), c26_0(), c27_0())))) ....... R2 [R1:L0, U14:L0]
% Derivation of the empty clause:
% ~p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),f20_4(c25_0(),c23_0(),c26_0(),c27_0())))) ....... U8969
% p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),f20_4(c25_0(),c23_0(),c26_0(),x0)))) ....... U3036
% [] ....... R1 [U8969:L0, U3036:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 15956
% resolvents: 15956 factors: 0
% Number of unit clauses generated: 15837
% % unit clauses generated to total clauses generated: 99.25
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 8 [1] = 3029 [2] = 5933
% Total = 8970
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 15837 [2] = 116 [3] = 3
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p10_2 (+)1322 (-)0
% [1] p13_2 (+)2 (-)0
% [2] p21_2 (+)3 (-)2
% [3] p22_2 (+)1 (-)0
% [4] p2_2 (+)859 (-)2
% [5] p4_2 (+)6116 (-)0
% [6] p7_2 (+)662 (-)0
% [7] p8_2 (+)1 (-)0
% ------------------
% Total: (+)8966 (-)4
% Total number of unit clauses retained: 8970
% Number of clauses skipped because of their length: 352
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 15961
% Number of unification failures: 1780
% Number of unit to unit unification failures: 1722
% N literal unification failure due to lookup root_id table: 275
% N base clause resolution failure due to lookup table: 424
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 5
% N unit clauses dropped because they exceeded max values: 6868
% N unit clauses dropped because too much nesting: 3802
% 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: 38
% Max term depth in a unit clause: 12
% Number of states in UCFA table: 112954
% Total number of terms of all unit clauses in table: 205254
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.21
% Ratio n states used/total unit clauses terms: 0.55
% Number of symbols (columns) in UCFA: 61
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 17741
% ConstructUnitClause() = 15830
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.04 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.52 secs
%
%------------------------------------------------------------------------------