TSTP Solution File: LCL445-2 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : LCL445-2 : TPTP v5.0.0. Released v3.2.0.
% 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 01:36:58 EST 2010
% Result : Unsatisfiable 0.39s
% Output : Refutation 0.39s
% 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/SystemOnTPTP3682/LCL/LCL445-2+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 = 9] [nf = 0] [nu = 4] [ut = 6]
% Looking for a proof at depth = 2 ...
% t = 1 secs [nr = 54] [nf = 0] [nu = 17] [ut = 11]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(v_p_0(),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0()))
% B1: c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0()))
% B2: ~c_in_3(v_q_0(),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0()))
% B4: ~c_in_3(x0,c_PropLog_Othms_2(c_insert_3(x1,x2,tc_PropLog_Opl_1(x3)),x3),tc_PropLog_Opl_1(x3)) | c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x1,x0,x3),c_PropLog_Othms_2(x2,x3),tc_PropLog_Opl_1(x3))
% B5: ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x3,x2),c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | ~c_in_3(x0,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | c_in_3(x3,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2))
% Unit Clauses:
% --------------
% U0: < d0 v0 dv0 f4 c6 t10 td4 b nc > c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(v_p_0(),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0()))
% U3: < d0 v13 dv4 f7 c1 t21 td5 b > c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x1,x2),c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,c_PropLog_Opl_Ofalse_0(),x2),x1,x2),x1,x2),x2),c_PropLog_Othms_2(x3,x2),tc_PropLog_Opl_1(x2))
% U5: < d1 v0 dv0 f4 c8 t12 td3 > c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0()))
% U10: < d2 v0 dv0 f5 c10 t15 td4 > ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0()))
% U84: < d3 v0 dv0 f5 c10 t15 td4 > c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U0:
% c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(v_p_0(),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U0
% Derivation of unit clause U3:
% c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x1,x2),c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,c_PropLog_Opl_Ofalse_0(),x2),x1,x2),x1,x2),x2),c_PropLog_Othms_2(x3,x2),tc_PropLog_Opl_1(x2)) ....... U3
% Derivation of unit clause U5:
% c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... B1
% ~c_in_3(x0,c_PropLog_Othms_2(c_insert_3(x1,x2,tc_PropLog_Opl_1(x3)),x3),tc_PropLog_Opl_1(x3)) | c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x1,x0,x3),c_PropLog_Othms_2(x2,x3),tc_PropLog_Opl_1(x3)) ....... B4
% c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(), c_PropLog_Opl_Ofalse_0(), t_a_0()), v_q_0(), t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R1 [B1:L0, B4:L0]
% Derivation of unit clause U10:
% ~c_in_3(v_q_0(),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... B2
% ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x3,x2),c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | ~c_in_3(x0,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | c_in_3(x3,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) ....... B5
% ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x0, v_q_0(), t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) | ~c_in_3(x0, c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R1 [B2:L0, B5:L2]
% c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U5
% ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(), c_PropLog_Opl_Ofalse_0(), t_a_0()), v_q_0(), t_a_0()), v_q_0(), t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R2 [R1:L1, U5:L0]
% Derivation of unit clause U84:
% ~c_in_3(x0,c_PropLog_Othms_2(c_insert_3(x1,x2,tc_PropLog_Opl_1(x3)),x3),tc_PropLog_Opl_1(x3)) | c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x1,x0,x3),c_PropLog_Othms_2(x2,x3),tc_PropLog_Opl_1(x3)) ....... B4
% ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x3,x2),c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | ~c_in_3(x0,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) | c_in_3(x3,c_PropLog_Othms_2(x1,x2),tc_PropLog_Opl_1(x2)) ....... B5
% ~c_in_3(x0, c_PropLog_Othms_2(c_insert_3(x1, x2, tc_PropLog_Opl_1(x3)), x3), tc_PropLog_Opl_1(x3)) | ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x1, x0, x3), x4, x3), c_PropLog_Othms_2(x2, x3), tc_PropLog_Opl_1(x3)) | c_in_3(x4, c_PropLog_Othms_2(x2, x3), tc_PropLog_Opl_1(x3)) ....... R1 [B4:L1, B5:L1]
% c_in_3(v_q_0(),c_PropLog_Othms_2(c_insert_3(v_p_0(),v_H_0(),tc_PropLog_Opl_1(t_a_0())),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U0
% ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(), v_q_0(), t_a_0()), x0, t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) | c_in_3(x0, c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R2 [R1:L0, U0:L0]
% c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,x1,x2),c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(x0,c_PropLog_Opl_Ofalse_0(),x2),x1,x2),x1,x2),x2),c_PropLog_Othms_2(x3,x2),tc_PropLog_Opl_1(x2)) ....... U3
% c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(), c_PropLog_Opl_Ofalse_0(), t_a_0()), v_q_0(), t_a_0()), v_q_0(), t_a_0()), c_PropLog_Othms_2(v_H_0(), t_a_0()), tc_PropLog_Opl_1(t_a_0())) ....... R3 [R2:L0, U3:L0]
% Derivation of the empty clause:
% c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U84
% ~c_in_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(c_PropLog_Opl_Oop_A_N_62_3(v_p_0(),c_PropLog_Opl_Ofalse_0(),t_a_0()),v_q_0(),t_a_0()),v_q_0(),t_a_0()),c_PropLog_Othms_2(v_H_0(),t_a_0()),tc_PropLog_Opl_1(t_a_0())) ....... U10
% [] ....... R1 [U84:L0, U10:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 512
% resolvents: 507 factors: 5
% Number of unit clauses generated: 195
% % unit clauses generated to total clauses generated: 38.09
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 4 [1] = 2 [2] = 5 [3] = 74
% Total = 85
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 195 [2] = 295 [3] = 22
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] c_in_3 (+)9 (-)76
% ------------------
% Total: (+)9 (-)76
% Total number of unit clauses retained: 85
% Number of clauses skipped because of their length: 121
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 518
% Number of unification failures: 1879
% Number of unit to unit unification failures: 613
% N literal unification failure due to lookup root_id table: 299
% N base clause resolution failure due to lookup table: 3
% 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: 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: 63
% Max term depth in a unit clause: 9
% Number of states in UCFA table: 1218
% Total number of terms of all unit clauses in table: 2830
% 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: 0.43
% Number of symbols (columns) in UCFA: 44
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 2397
% ConstructUnitClause() = 167
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.38 secs
%
%------------------------------------------------------------------------------