TSTP Solution File: LCL203-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : LCL203-1 : TPTP v5.0.0. Released v1.1.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art03.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 00:22:13 EST 2010
% Result : Unsatisfiable 0.90s
% Output : Refutation 0.90s
% 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/SystemOnTPTP27773/LCL/LCL203-1+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 = 18] [nf = 0] [nu = 10] [ut = 12]
% Looking for a proof at depth = 2 ...
% t = 1 secs [nr = 4328] [nf = 1] [nu = 2505] [ut = 1479]
% Looking for a proof at depth = 3 ...
% t = 1 secs [nr = 16830] [nf = 4] [nu = 12849] [ut = 2816]
% Looking for a proof at depth = 4 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~theorem_1(or_2(not_1(not_1(or_2(p_0(),q_0()))),or_2(not_1(p_0()),not_1(q_0()))))
% B3: axiom_1(or_2(not_1(x0),or_2(x1,x0)))
% B4: axiom_1(or_2(not_1(or_2(x0,x1)),or_2(x1,x0)))
% B5: axiom_1(or_2(not_1(or_2(x0,x0)),x0))
% B6: ~axiom_1(x0) | theorem_1(x0)
% B7: ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1))
% B8: ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0)
% Unit Clauses:
% --------------
% U1: < d0 v6 dv3 f6 c0 t12 td5 b > axiom_1(or_2(not_1(or_2(x0,or_2(x1,x2))),or_2(x1,or_2(x0,x2))))
% U3: < d0 v3 dv2 f3 c0 t6 td3 b > axiom_1(or_2(not_1(x0),or_2(x1,x0)))
% U9: < d1 v3 dv1 f3 c0 t6 td4 > theorem_1(or_2(not_1(or_2(x0,x0)),x0))
% U16: < d2 v0 dv0 f7 c4 t11 td6 > ~theorem_1(or_2(not_1(p_0()),or_2(not_1(not_1(or_2(p_0(),q_0()))),not_1(q_0()))))
% U27: < d2 v2 dv1 f2 c0 t4 td3 > theorem_1(or_2(not_1(x0),x0))
% U208: < d2 v0 dv0 f5 c3 t8 td5 > ~theorem_1(or_2(not_1(not_1(or_2(p_0(),q_0()))),not_1(q_0())))
% U387: < d2 v2 dv1 f2 c0 t4 td3 > theorem_1(or_2(x0,not_1(x0)))
% U710: < d2 v0 dv0 f5 c3 t8 td5 > ~theorem_1(or_2(not_1(q_0()),not_1(not_1(or_2(p_0(),q_0())))))
% U1039: < d2 v3 dv1 f5 c0 t8 td4 > theorem_1(or_2(not_1(or_2(x0,x0)),not_1(not_1(x0))))
% U1261: < d2 v5 dv1 f7 c0 t12 td5 > theorem_1(or_2(not_1(or_2(or_2(x0,x0),or_2(x0,x0))),not_1(not_1(x0))))
% U10598: < d4 v6 dv2 f8 c0 t14 td6 > theorem_1(or_2(not_1(or_2(x0,or_2(or_2(x0,x1),x1))),not_1(not_1(or_2(x0,x1)))))
% U11673: < d4 v3 dv2 f5 c0 t8 td5 > theorem_1(or_2(not_1(x0),not_1(not_1(or_2(x1,x0)))))
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% axiom_1(or_2(not_1(or_2(x0,or_2(x1,x2))),or_2(x1,or_2(x0,x2)))) ....... U1
% Derivation of unit clause U3:
% axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... U3
% Derivation of unit clause U9:
% axiom_1(or_2(not_1(or_2(x0,x0)),x0)) ....... B5
% ~axiom_1(x0) | theorem_1(x0) ....... B6
% theorem_1(or_2(not_1(or_2(x0, x0)), x0)) ....... R1 [B5:L0, B6:L0]
% Derivation of unit clause U16:
% ~theorem_1(or_2(not_1(not_1(or_2(p_0(),q_0()))),or_2(not_1(p_0()),not_1(q_0())))) ....... B0
% ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0) ....... B8
% ~axiom_1(or_2(not_1(x0), or_2(not_1(not_1(or_2(p_0(), q_0()))), or_2(not_1(p_0()), not_1(q_0()))))) | ~theorem_1(x0) ....... R1 [B0:L0, B8:L2]
% axiom_1(or_2(not_1(or_2(x0,or_2(x1,x2))),or_2(x1,or_2(x0,x2)))) ....... U1
% ~theorem_1(or_2(not_1(p_0()), or_2(not_1(not_1(or_2(p_0(), q_0()))), not_1(q_0())))) ....... R2 [R1:L0, U1:L0]
% Derivation of unit clause U27:
% axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... B3
% ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7
% ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | theorem_1(or_2(not_1(x1), x2)) ....... R1 [B3:L0, B7:L0]
% theorem_1(or_2(not_1(or_2(x0,x0)),x0)) ....... U9
% theorem_1(or_2(not_1(x0), x0)) ....... R2 [R1:L0, U9:L0]
% Derivation of unit clause U208:
% axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... B3
% ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0) ....... B8
% ~theorem_1(x0) | theorem_1(or_2(x1, x0)) ....... R1 [B3:L0, B8:L0]
% ~theorem_1(or_2(not_1(p_0()),or_2(not_1(not_1(or_2(p_0(),q_0()))),not_1(q_0())))) ....... U16
% ~theorem_1(or_2(not_1(not_1(or_2(p_0(), q_0()))), not_1(q_0()))) ....... R2 [R1:L1, U16:L0]
% Derivation of unit clause U387:
% axiom_1(or_2(not_1(or_2(x0,x1)),or_2(x1,x0))) ....... B4
% ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0) ....... B8
% ~theorem_1(or_2(x0, x1)) | theorem_1(or_2(x1, x0)) ....... R1 [B4:L0, B8:L0]
% theorem_1(or_2(not_1(x0),x0)) ....... U27
% theorem_1(or_2(x0, not_1(x0))) ....... R2 [R1:L0, U27:L0]
% Derivation of unit clause U710:
% axiom_1(or_2(not_1(or_2(x0,x1)),or_2(x1,x0))) ....... B4
% ~axiom_1(or_2(not_1(x1),x0)) | ~theorem_1(x1) | theorem_1(x0) ....... B8
% ~theorem_1(or_2(x0, x1)) | theorem_1(or_2(x1, x0)) ....... R1 [B4:L0, B8:L0]
% ~theorem_1(or_2(not_1(not_1(or_2(p_0(),q_0()))),not_1(q_0()))) ....... U208
% ~theorem_1(or_2(not_1(q_0()), not_1(not_1(or_2(p_0(), q_0()))))) ....... R2 [R1:L1, U208:L0]
% Derivation of unit clause U1039:
% axiom_1(or_2(not_1(or_2(x0,x0)),x0)) ....... B5
% ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7
% ~theorem_1(or_2(not_1(x0), x1)) | theorem_1(or_2(not_1(or_2(x0, x0)), x1)) ....... R1 [B5:L0, B7:L0]
% theorem_1(or_2(x0,not_1(x0))) ....... U387
% theorem_1(or_2(not_1(or_2(x0, x0)), not_1(not_1(x0)))) ....... R2 [R1:L0, U387:L0]
% Derivation of unit clause U1261:
% axiom_1(or_2(not_1(or_2(x0,x0)),x0)) ....... B5
% ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7
% ~theorem_1(or_2(not_1(x0), x1)) | theorem_1(or_2(not_1(or_2(x0, x0)), x1)) ....... R1 [B5:L0, B7:L0]
% theorem_1(or_2(not_1(or_2(x0,x0)),not_1(not_1(x0)))) ....... U1039
% theorem_1(or_2(not_1(or_2(or_2(x0, x0), or_2(x0, x0))), not_1(not_1(x0)))) ....... R2 [R1:L0, U1039:L0]
% Derivation of unit clause U10598:
% axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... B3
% ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7
% ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | theorem_1(or_2(not_1(x1), x2)) ....... R1 [B3:L0, B7:L0]
% ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7
% ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | ~axiom_1(or_2(not_1(x3), x1)) | theorem_1(or_2(not_1(x3), x2)) ....... R2 [R1:L1, B7:L1]
% theorem_1(or_2(not_1(or_2(or_2(x0,x0),or_2(x0,x0))),not_1(not_1(x0)))) ....... U1261
% ~axiom_1(or_2(not_1(x0), or_2(x1, x1))) | theorem_1(or_2(not_1(x0), not_1(not_1(x1)))) ....... R3 [R2:L0, U1261:L0]
% axiom_1(or_2(not_1(or_2(x0,or_2(x1,x2))),or_2(x1,or_2(x0,x2)))) ....... U1
% theorem_1(or_2(not_1(or_2(x0, or_2(or_2(x0, x1), x1))), not_1(not_1(or_2(x0, x1))))) ....... R4 [R3:L0, U1:L0]
% Derivation of unit clause U11673:
% axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... B3
% ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7
% ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | theorem_1(or_2(not_1(x1), x2)) ....... R1 [B3:L0, B7:L0]
% ~axiom_1(or_2(not_1(x0),x2)) | ~theorem_1(or_2(not_1(x2),x1)) | theorem_1(or_2(not_1(x0),x1)) ....... B7
% ~theorem_1(or_2(not_1(or_2(x0, x1)), x2)) | ~axiom_1(or_2(not_1(x3), x1)) | theorem_1(or_2(not_1(x3), x2)) ....... R2 [R1:L1, B7:L1]
% theorem_1(or_2(not_1(or_2(x0,or_2(or_2(x0,x1),x1))),not_1(not_1(or_2(x0,x1))))) ....... U10598
% ~axiom_1(or_2(not_1(x0), or_2(or_2(x1, x2), x2))) | theorem_1(or_2(not_1(x0), not_1(not_1(or_2(x1, x2))))) ....... R3 [R2:L0, U10598:L0]
% axiom_1(or_2(not_1(x0),or_2(x1,x0))) ....... U3
% theorem_1(or_2(not_1(x0), not_1(not_1(or_2(x1, x0))))) ....... R4 [R3:L0, U3:L0]
% Derivation of the empty clause:
% theorem_1(or_2(not_1(x0),not_1(not_1(or_2(x1,x0))))) ....... U11673
% ~theorem_1(or_2(not_1(q_0()),not_1(not_1(or_2(p_0(),q_0()))))) ....... U710
% [] ....... R1 [U11673:L0, U710:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 47273
% resolvents: 47259 factors: 14
% Number of unit clauses generated: 39556
% % unit clauses generated to total clauses generated: 83.68
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 6 [1] = 6 [2] = 1467 [3] = 1337
% [4] = 8858
% Total = 11674
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 39556 [2] = 7674 [3] = 43
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] axiom_1 (+)5 (-)8696
% [1] theorem_1 (+)2755 (-)218
% ------------------
% Total: (+)2760 (-)8914
% Total number of unit clauses retained: 11674
% Number of clauses skipped because of their length: 7978
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 47296
% Number of unification failures: 287199
% Number of unit to unit unification failures: 643928
% N literal unification failure due to lookup root_id table: 15570
% N base clause resolution failure due to lookup table: 283
% N UC-BCL resolution dropped due to lookup table: 21421
% Max entries in substitution set: 13
% N unit clauses dropped because they exceeded max values: 20341
% N unit clauses dropped because too much nesting: 3534
% 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: 55
% Max term depth in a unit clause: 11
% Number of states in UCFA table: 111822
% Total number of terms of all unit clauses in table: 332246
% 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: 0.34
% Number of symbols (columns) in UCFA: 40
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 334495
% ConstructUnitClause() = 32009
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.09 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.89 secs
%
%------------------------------------------------------------------------------