TSTP Solution File: SYN631-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN631-1 : 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 10:55:13 EST 2010
% Result : Unsatisfiable 122.78s
% Output : Refutation 122.78s
% 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/SystemOnTPTP7321/SYN/SYN631-1+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 = 291] [nf = 0] [nu = 234] [ut = 129]
% Looking for a proof at depth = 2 ...
% t = 1 secs [nr = 16086] [nf = 54] [nu = 12269] [ut = 695]
% Looking for a proof at depth = 3 ...
% Entering time slice 2
% Updating parameters ... done.
% Looking for a proof at depth = 1 ...
% t = 123 secs [nr = 45934524] [nf = 345] [nu = 45697485] [ut = 4110]
% Looking for a proof at depth = 2 ...
% t = 124 secs [nr = 46107725] [nf = 399] [nu = 45841934] [ut = 5804]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p5_2(f17_1(f18_2(x0,x1)),x0)
% B1: p5_2(f16_1(f18_2(x0,x1)),x1)
% B2: p10_2(x0,x0)
% B6: p5_2(x0,x0)
% B11: p23_2(f13_2(c27_0(),f14_1(c28_0())),f11_1(f15_1(c24_0())))
% B13: ~p23_2(f13_2(x0,x2),f11_1(f15_1(x1))) | p5_2(x0,f18_2(f20_1(c29_0()),f19_3(x1,x0,x2)))
% B14: ~p23_2(f13_2(x1,x2),f11_1(f15_1(x0))) | p23_2(f13_2(f19_3(x0,x1,x2),x2),f11_1(x0))
% B22: ~p5_2(x1,x3) | ~p5_2(x0,x2) | p12_2(f13_2(x0,x1),f13_2(x2,x3))
% B28: ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1)
% B34: ~p10_2(x3,x1) | ~p12_2(x2,x0) | ~p23_2(x2,x3) | p23_2(x0,x1)
% Unit Clauses:
% --------------
% U10: < d0 v0 dv0 f4 c3 t7 td3 b nc > ~p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0()))
% U24: < d1 v0 dv0 f4 c5 t9 td4 > p5_2(c27_0(),f18_2(f20_1(c29_0()),f19_3(c24_0(),c27_0(),f14_1(c28_0()))))
% U25: < d1 v0 dv0 f5 c5 t10 td4 > p23_2(f13_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),f14_1(c28_0())),f11_1(c24_0()))
% U423: < d2 v0 dv0 f4 c5 t9 td4 > p5_2(f18_2(f20_1(c29_0()),f19_3(c24_0(),c27_0(),f14_1(c28_0()))),c27_0())
% U1301: < d3 v0 dv0 f3 c4 t7 td3 > p5_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),f16_1(c27_0()))
% U4769: < d2 v2 dv1 f5 c4 t11 td4 > p12_2(f13_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),x0),f13_2(f16_1(c27_0()),x0))
% U6769: < d3 v0 dv0 f4 c3 t7 td3 > p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U10:
% ~p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0())) ....... U10
% Derivation of unit clause U24:
% p23_2(f13_2(c27_0(),f14_1(c28_0())),f11_1(f15_1(c24_0()))) ....... B11
% ~p23_2(f13_2(x0,x2),f11_1(f15_1(x1))) | p5_2(x0,f18_2(f20_1(c29_0()),f19_3(x1,x0,x2))) ....... B13
% p5_2(c27_0(), f18_2(f20_1(c29_0()), f19_3(c24_0(), c27_0(), f14_1(c28_0())))) ....... R1 [B11:L0, B13:L0]
% Derivation of unit clause U25:
% p23_2(f13_2(c27_0(),f14_1(c28_0())),f11_1(f15_1(c24_0()))) ....... B11
% ~p23_2(f13_2(x1,x2),f11_1(f15_1(x0))) | p23_2(f13_2(f19_3(x0,x1,x2),x2),f11_1(x0)) ....... B14
% p23_2(f13_2(f19_3(c24_0(), c27_0(), f14_1(c28_0())), f14_1(c28_0())), f11_1(c24_0())) ....... R1 [B11:L0, B14:L0]
% Derivation of unit clause U423:
% p5_2(x0,x0) ....... B6
% ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B28
% ~p5_2(x0, x1) | p5_2(x1, x0) ....... R1 [B6:L0, B28:L0]
% p5_2(c27_0(),f18_2(f20_1(c29_0()),f19_3(c24_0(),c27_0(),f14_1(c28_0())))) ....... U24
% p5_2(f18_2(f20_1(c29_0()), f19_3(c24_0(), c27_0(), f14_1(c28_0()))), c27_0()) ....... R2 [R1:L0, U24:L0]
% Derivation of unit clause U1301:
% p5_2(f16_1(f18_2(x0,x1)),x1) ....... B1
% ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B28
% ~p5_2(f16_1(f18_2(x0, x1)), x2) | p5_2(x1, x2) ....... R1 [B1:L0, B28:L1]
% ~p5_2(x0,x1) | p5_2(f16_1(x0),f16_1(x1)) ....... B17
% p5_2(x0, f16_1(x1)) | ~p5_2(f18_2(x2, x0), x1) ....... R2 [R1:L0, B17:L1]
% p5_2(f18_2(f20_1(c29_0()),f19_3(c24_0(),c27_0(),f14_1(c28_0()))),c27_0()) ....... U423
% p5_2(f19_3(c24_0(), c27_0(), f14_1(c28_0())), f16_1(c27_0())) ....... R3 [R2:L1, U423:L0]
% Derivation of unit clause U4769:
% p5_2(x0,x0) ....... B6
% ~p5_2(x1,x3) | ~p5_2(x0,x2) | p12_2(f13_2(x0,x1),f13_2(x2,x3)) ....... B22
% ~p5_2(x0, x1) | p12_2(f13_2(x0, x2), f13_2(x1, x2)) ....... R1 [B6:L0, B22:L0]
% p5_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),f16_1(c27_0())) ....... U1301
% p12_2(f13_2(f19_3(c24_0(), c27_0(), f14_1(c28_0())), x0), f13_2(f16_1(c27_0()), x0)) ....... R2 [R1:L0, U1301:L0]
% Derivation of unit clause U6769:
% p10_2(x0,x0) ....... B2
% ~p10_2(x3,x1) | ~p12_2(x2,x0) | ~p23_2(x2,x3) | p23_2(x0,x1) ....... B34
% ~p12_2(x0, x1) | ~p23_2(x0, x2) | p23_2(x1, x2) ....... R1 [B2:L0, B34:L0]
% p12_2(f13_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),x0),f13_2(f16_1(c27_0()),x0)) ....... U4769
% ~p23_2(f13_2(f19_3(c24_0(), c27_0(), f14_1(c28_0())), x0), x1) | p23_2(f13_2(f16_1(c27_0()), x0), x1) ....... R2 [R1:L0, U4769:L0]
% p23_2(f13_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),f14_1(c28_0())),f11_1(c24_0())) ....... U25
% p23_2(f13_2(f16_1(c27_0()), f14_1(c28_0())), f11_1(c24_0())) ....... R3 [R2:L0, U25:L0]
% Derivation of the empty clause:
% p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0())) ....... U6769
% ~p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0())) ....... U10
% [] ....... R1 [U6769:L0, U10:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 46640027
% resolvents: 46639544 factors: 483
% Number of unit clauses generated: 46268887
% % unit clauses generated to total clauses generated: 99.20
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 13 [1] = 278 [2] = 2260 [3] = 4219
% Total = 6770
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 46268887 [2] = 370435 [3] = 705
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p10_2 (+)5 (-)0
% [1] p12_2 (+)1345 (-)0
% [2] p21_2 (+)1 (-)0
% [3] p22_2 (+)1 (-)0
% [4] p23_2 (+)22 (-)25
% [5] p2_2 (+)1 (-)0
% [6] p3_2 (+)2 (-)0
% [7] p5_2 (+)5293 (-)0
% [8] p6_2 (+)1 (-)0
% [9] p7_2 (+)69 (-)0
% [10] p9_2 (+)5 (-)0
% ------------------
% Total: (+)6745 (-)25
% Total number of unit clauses retained: 6770
% Number of clauses skipped because of their length: 757775
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 46640039
% Number of unification failures: 219132
% Number of unit to unit unification failures: 525
% N literal unification failure due to lookup root_id table: 1199549
% N base clause resolution failure due to lookup table: 349482
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 9
% N unit clauses dropped because they exceeded max values: 46171559
% N unit clauses dropped because too much nesting: 37950770
% 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: 12
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 25215
% Total number of terms of all unit clauses in table: 71055
% Max allowed number of states in UCFA: 112000
% Ratio n states used/total allowed states: 0.23
% Ratio n states used/total unit clauses terms: 0.35
% Number of symbols (columns) in UCFA: 62
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 46859171
% ConstructUnitClause() = 46178316
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 54.31 secs
% --------------------------------------------------------
% | |
% Inferences per sec: 382295
% | |
% --------------------------------------------------------
% Elapsed time: 125 secs
% CPU time: 122.75 secs
%
%------------------------------------------------------------------------------