TSTP Solution File: MSC004-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : MSC004-1 : TPTP v5.0.0. Released v1.0.0.
% 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 02:00:32 EST 2010
% Result : Unsatisfiable 0.17s
% Output : Refutation 0.17s
% 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/SystemOnTPTP8024/MSC/MSC004-1+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 = 6] [nf = 0] [nu = 3] [ut = 4]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 35] [nf = 0] [nu = 7] [ut = 4]
% Looking for a proof at depth = 3 ...
% t = 0 secs [nr = 101] [nf = 0] [nu = 11] [ut = 4]
% Looking for a proof at depth = 4 ...
% t = 0 secs [nr = 311] [nf = 5] [nu = 15] [ut = 4]
% Looking for a proof at depth = 5 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~has_parts_3(john_0(),times_2(times_2(n2_0(),n1_0()),n5_0()),fingers_0())
% B1: in_2(john_0(),boy_0())
% B2: ~in_2(x0,boy_0()) | in_2(x0,human_0())
% B3: ~in_2(x0,human_0()) | has_parts_3(x0,n2_0(),arm_0())
% B4: ~in_2(x0,hand_0()) | has_parts_3(x0,n5_0(),fingers_0())
% B6: ~has_parts_3(x0,x3,x1) | in_2(object_in_5(x0,x1,x2,x3,x4),x1) | has_parts_3(x0,times_2(x3,x4),x2)
% Unit Clauses:
% --------------
% U0: < d0 v0 dv0 f2 c5 t7 td3 b nc > ~has_parts_3(john_0(),times_2(times_2(n2_0(),n1_0()),n5_0()),fingers_0())
% U1: < d0 v0 dv0 f0 c2 t2 td1 b > in_2(john_0(),boy_0())
% U2: < d1 v0 dv0 f0 c2 t2 td1 > in_2(john_0(),human_0())
% U3: < d1 v0 dv0 f0 c3 t3 td1 > has_parts_3(john_0(),n2_0(),arm_0())
% U4: < d5 v0 dv0 f1 c4 t5 td2 > ~has_parts_3(john_0(),times_2(n2_0(),n1_0()),hand_0())
% U6: < d5 v0 dv0 f1 c6 t7 td2 > ~in_2(object_in_5(john_0(),arm_0(),hand_0(),n2_0(),n1_0()),arm_0())
% U8: < d5 v0 dv0 f2 c8 t10 td3 > ~has_parts_3(object_in_5(john_0(),hand_0(),fingers_0(),times_2(n2_0(),n1_0()),n5_0()),n5_0(),fingers_0())
% U9: < d5 v0 dv0 f1 c6 t7 td2 > in_2(object_in_5(john_0(),arm_0(),hand_0(),n2_0(),n1_0()),arm_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U0:
% ~has_parts_3(john_0(),times_2(times_2(n2_0(),n1_0()),n5_0()),fingers_0()) ....... U0
% Derivation of unit clause U1:
% in_2(john_0(),boy_0()) ....... U1
% Derivation of unit clause U2:
% in_2(john_0(),boy_0()) ....... B1
% ~in_2(x0,boy_0()) | in_2(x0,human_0()) ....... B2
% in_2(john_0(), human_0()) ....... R1 [B1:L0, B2:L0]
% Derivation of unit clause U3:
% ~in_2(x0,human_0()) | has_parts_3(x0,n2_0(),arm_0()) ....... B3
% in_2(john_0(),human_0()) ....... U2
% has_parts_3(john_0(), n2_0(), arm_0()) ....... R1 [B3:L0, U2:L0]
% Derivation of unit clause U4:
% ~has_parts_3(john_0(),times_2(times_2(n2_0(),n1_0()),n5_0()),fingers_0()) ....... B0
% ~has_parts_3(x0,x3,x1) | in_2(object_in_5(x0,x1,x2,x3,x4),x1) | has_parts_3(x0,times_2(x3,x4),x2) ....... B6
% ~has_parts_3(john_0(), times_2(n2_0(), n1_0()), x0) | in_2(object_in_5(john_0(), x0, fingers_0(), times_2(n2_0(), n1_0()), n5_0()), x0) ....... R1 [B0:L0, B6:L2]
% ~in_2(x0,hand_0()) | has_parts_3(x0,n5_0(),fingers_0()) ....... B4
% ~has_parts_3(john_0(), times_2(n2_0(), n1_0()), hand_0()) | has_parts_3(object_in_5(john_0(), hand_0(), fingers_0(), times_2(n2_0(), n1_0()), n5_0()), n5_0(), fingers_0()) ....... R2 [R1:L1, B4:L0]
% ~has_parts_3(object_in_5(x0,x4,x3,x1,x2),x2,x3) | ~has_parts_3(x0,x1,x4) | has_parts_3(x0,times_2(x1,x2),x3) ....... B7
% ~has_parts_3(john_0(), times_2(n2_0(), n1_0()), hand_0()) | ~has_parts_3(john_0(), times_2(n2_0(), n1_0()), hand_0()) | has_parts_3(john_0(), times_2(times_2(n2_0(), n1_0()), n5_0()), fingers_0()) ....... R3 [R2:L1, B7:L0]
% ~has_parts_3(john_0(), times_2(n2_0(), n1_0()), hand_0()) | has_parts_3(john_0(), times_2(times_2(n2_0(), n1_0()), n5_0()), fingers_0()) ....... R4 [R3:L0, R3:L1]
% ~has_parts_3(john_0(),times_2(times_2(n2_0(),n1_0()),n5_0()),fingers_0()) ....... U0
% ~has_parts_3(john_0(), times_2(n2_0(), n1_0()), hand_0()) ....... R5 [R4:L1, U0:L0]
% Derivation of unit clause U6:
% ~in_2(x0,boy_0()) | in_2(x0,human_0()) ....... B2
% ~in_2(x0,human_0()) | has_parts_3(x0,n2_0(),arm_0()) ....... B3
% ~in_2(x0, boy_0()) | has_parts_3(x0, n2_0(), arm_0()) ....... R1 [B2:L1, B3:L0]
% ~has_parts_3(object_in_5(x0,x4,x3,x1,x2),x2,x3) | ~has_parts_3(x0,x1,x4) | has_parts_3(x0,times_2(x1,x2),x3) ....... B7
% ~in_2(x0, boy_0()) | ~has_parts_3(object_in_5(x0, arm_0(), x1, n2_0(), x2), x2, x1) | has_parts_3(x0, times_2(n2_0(), x2), x1) ....... R2 [R1:L1, B7:L1]
% in_2(john_0(),boy_0()) ....... U1
% ~has_parts_3(object_in_5(john_0(), arm_0(), x0, n2_0(), x1), x1, x0) | has_parts_3(john_0(), times_2(n2_0(), x1), x0) ....... R3 [R2:L0, U1:L0]
% ~in_2(x0,arm_0()) | has_parts_3(x0,n1_0(),hand_0()) ....... B5
% has_parts_3(john_0(), times_2(n2_0(), n1_0()), hand_0()) | ~in_2(object_in_5(john_0(), arm_0(), hand_0(), n2_0(), n1_0()), arm_0()) ....... R4 [R3:L0, B5:L1]
% ~has_parts_3(john_0(),times_2(n2_0(),n1_0()),hand_0()) ....... U4
% ~in_2(object_in_5(john_0(), arm_0(), hand_0(), n2_0(), n1_0()), arm_0()) ....... R5 [R4:L0, U4:L0]
% Derivation of unit clause U8:
% ~in_2(x0,human_0()) | has_parts_3(x0,n2_0(),arm_0()) ....... B3
% ~has_parts_3(x0,x3,x1) | in_2(object_in_5(x0,x1,x2,x3,x4),x1) | has_parts_3(x0,times_2(x3,x4),x2) ....... B6
% ~in_2(x0, human_0()) | in_2(object_in_5(x0, arm_0(), x1, n2_0(), x2), arm_0()) | has_parts_3(x0, times_2(n2_0(), x2), x1) ....... R1 [B3:L1, B6:L0]
% in_2(john_0(),human_0()) ....... U2
% in_2(object_in_5(john_0(), arm_0(), x0, n2_0(), x1), arm_0()) | has_parts_3(john_0(), times_2(n2_0(), x1), x0) ....... R2 [R1:L0, U2:L0]
% ~has_parts_3(object_in_5(x0,x4,x3,x1,x2),x2,x3) | ~has_parts_3(x0,x1,x4) | has_parts_3(x0,times_2(x1,x2),x3) ....... B7
% in_2(object_in_5(john_0(), arm_0(), x0, n2_0(), x1), arm_0()) | ~has_parts_3(object_in_5(john_0(), x0, x2, times_2(n2_0(), x1), x3), x3, x2) | has_parts_3(john_0(), times_2(times_2(n2_0(), x1), x3), x2) ....... R3 [R2:L1, B7:L1]
% ~in_2(object_in_5(john_0(),arm_0(),hand_0(),n2_0(),n1_0()),arm_0()) ....... U6
% ~has_parts_3(object_in_5(john_0(), hand_0(), x0, times_2(n2_0(), n1_0()), x1), x1, x0) | has_parts_3(john_0(), times_2(times_2(n2_0(), n1_0()), x1), x0) ....... R4 [R3:L0, U6:L0]
% ~has_parts_3(john_0(),times_2(times_2(n2_0(),n1_0()),n5_0()),fingers_0()) ....... U0
% ~has_parts_3(object_in_5(john_0(), hand_0(), fingers_0(), times_2(n2_0(), n1_0()), n5_0()), n5_0(), fingers_0()) ....... R5 [R4:L1, U0:L0]
% Derivation of unit clause U9:
% ~in_2(x0,hand_0()) | has_parts_3(x0,n5_0(),fingers_0()) ....... B4
% ~has_parts_3(x0,x3,x1) | in_2(object_in_5(x0,x1,x2,x3,x4),x1) | has_parts_3(x0,times_2(x3,x4),x2) ....... B6
% has_parts_3(object_in_5(x0, hand_0(), x1, x2, x3), n5_0(), fingers_0()) | ~has_parts_3(x0, x2, hand_0()) | has_parts_3(x0, times_2(x2, x3), x1) ....... R1 [B4:L0, B6:L1]
% ~has_parts_3(object_in_5(john_0(),hand_0(),fingers_0(),times_2(n2_0(),n1_0()),n5_0()),n5_0(),fingers_0()) ....... U8
% ~has_parts_3(john_0(), times_2(n2_0(), n1_0()), hand_0()) | has_parts_3(john_0(), times_2(times_2(n2_0(), n1_0()), n5_0()), fingers_0()) ....... R2 [R1:L0, U8:L0]
% ~has_parts_3(x0,x3,x1) | in_2(object_in_5(x0,x1,x2,x3,x4),x1) | has_parts_3(x0,times_2(x3,x4),x2) ....... B6
% has_parts_3(john_0(), times_2(times_2(n2_0(), n1_0()), n5_0()), fingers_0()) | ~has_parts_3(john_0(), n2_0(), x0) | in_2(object_in_5(john_0(), x0, hand_0(), n2_0(), n1_0()), x0) ....... R3 [R2:L0, B6:L2]
% ~has_parts_3(john_0(),times_2(times_2(n2_0(),n1_0()),n5_0()),fingers_0()) ....... U0
% ~has_parts_3(john_0(), n2_0(), x0) | in_2(object_in_5(john_0(), x0, hand_0(), n2_0(), n1_0()), x0) ....... R4 [R3:L0, U0:L0]
% has_parts_3(john_0(),n2_0(),arm_0()) ....... U3
% in_2(object_in_5(john_0(), arm_0(), hand_0(), n2_0(), n1_0()), arm_0()) ....... R5 [R4:L0, U3:L0]
% Derivation of the empty clause:
% in_2(object_in_5(john_0(),arm_0(),hand_0(),n2_0(),n1_0()),arm_0()) ....... U9
% ~in_2(object_in_5(john_0(),arm_0(),hand_0(),n2_0(),n1_0()),arm_0()) ....... U6
% [] ....... R1 [U9:L0, U6:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 1031
% resolvents: 1022 factors: 9
% Number of unit clauses generated: 115
% % unit clauses generated to total clauses generated: 11.15
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 2 [1] = 2 [5] = 6
% Total = 10
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 115 [2] = 412 [3] = 504
% Average size of a generated clause: 3.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] in_2 (+)4 (-)1
% [1] has_parts_3 (+)2 (-)3
% ------------------
% Total: (+)6 (-)4
% Total number of unit clauses retained: 10
% Number of clauses skipped because of their length: 653
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 271
% Number of successful unifications: 1053
% Number of unification failures: 1814
% Number of unit to unit unification failures: 9
% N literal unification failure due to lookup root_id table: 4015
% N base clause resolution failure due to lookup table: 1489
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 12
% N unit clauses dropped because they exceeded max values: 41
% 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: 10
% Max term depth in a unit clause: 3
% Number of states in UCFA table: 52
% Total number of terms of all unit clauses in table: 60
% Max allowed number of states in UCFA: 128000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.87
% Number of symbols (columns) in UCFA: 47
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 2867
% ConstructUnitClause() = 49
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.17 secs
%
%------------------------------------------------------------------------------