TSTP Solution File: SYN312-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN312-1 : TPTP v5.0.0. Bugfixed v2.0.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Nov 28 08:52:49 EST 2010
% Result : Unsatisfiable 0.60s
% Output : Refutation 0.60s
% 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/SystemOnTPTP17968/SYN/SYN312-1+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 = 653] [nf = 0] [nu = 629] [ut = 465]
% Looking for a proof at depth = 2 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p_3(f_1(b_0()),d_0(),c_0())
% B1: p_3(a_0(),f_1(b_0()),c_0())
% B2: ~p_3(x1,x0,x2) | p_3(x0,x1,x2)
% B3: ~p_3(x2,x1,x0) | p_3(x0,x1,x2)
% B4: ~p_3(x0,x1,x2) | p_3(x0,x1,f_1(x2))
% B5: ~p_3(x0,x1,x2) | p_3(g_1(x0),x1,x2)
% B6: ~p_3(x3,x1,x2) | ~p_3(x0,x3,x2) | p_3(x0,x1,x2)
% Unit Clauses:
% --------------
% U2: < d0 v0 dv0 f6 c3 t9 td3 b nc > ~p_3(f_1(g_1(a_0())),f_1(g_1(d_0())),f_1(g_1(c_0())))
% U10: < d1 v0 dv0 f2 c3 t5 td2 > p_3(g_1(a_0()),f_1(b_0()),c_0())
% U114: < d1 v0 dv0 f5 c3 t8 td3 > ~p_3(f_1(g_1(a_0())),f_1(g_1(d_0())),g_1(c_0()))
% U467: < d2 v0 dv0 f1 c3 t4 td2 > p_3(g_1(a_0()),d_0(),c_0())
% U917: < d2 v0 dv0 f1 c3 t4 td2 > p_3(c_0(),g_1(a_0()),d_0())
% U1361: < d2 v0 dv0 f1 c3 t4 td2 > p_3(d_0(),c_0(),g_1(a_0()))
% U1378: < d2 v0 dv0 f5 c3 t8 td3 > ~p_3(f_1(g_1(d_0())),g_1(c_0()),f_1(g_1(a_0())))
% U1382: < d2 v0 dv0 f5 c3 t8 td3 > ~p_3(g_1(c_0()),f_1(g_1(a_0())),f_1(g_1(d_0())))
% U2376: < d2 v0 dv0 f2 c3 t5 td3 > p_3(c_0(),d_0(),f_1(g_1(a_0())))
% U5127: < d2 v0 dv0 f3 c3 t6 td3 > p_3(g_1(d_0()),c_0(),f_1(g_1(a_0())))
% U11732: < d2 v0 dv0 f4 c3 t7 td3 > ~p_3(f_1(g_1(a_0())),c_0(),f_1(g_1(d_0())))
% U17870: < d2 v0 dv0 f4 c3 t7 td3 > p_3(f_1(g_1(a_0())),c_0(),f_1(g_1(d_0())))
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% ~p_3(f_1(g_1(a_0())),f_1(g_1(d_0())),f_1(g_1(c_0()))) ....... U2
% Derivation of unit clause U10:
% p_3(a_0(),f_1(b_0()),c_0()) ....... B1
% ~p_3(x0,x1,x2) | p_3(g_1(x0),x1,x2) ....... B5
% p_3(g_1(a_0()), f_1(b_0()), c_0()) ....... R1 [B1:L0, B5:L0]
% Derivation of unit clause U114:
% ~p_3(x0,x1,x2) | p_3(x0,x1,f_1(x2)) ....... B4
% ~p_3(f_1(g_1(a_0())),f_1(g_1(d_0())),f_1(g_1(c_0()))) ....... U2
% ~p_3(f_1(g_1(a_0())), f_1(g_1(d_0())), g_1(c_0())) ....... R1 [B4:L1, U2:L0]
% Derivation of unit clause U467:
% p_3(f_1(b_0()),d_0(),c_0()) ....... B0
% ~p_3(x3,x1,x2) | ~p_3(x0,x3,x2) | p_3(x0,x1,x2) ....... B6
% ~p_3(x0, f_1(b_0()), c_0()) | p_3(x0, d_0(), c_0()) ....... R1 [B0:L0, B6:L0]
% p_3(g_1(a_0()),f_1(b_0()),c_0()) ....... U10
% p_3(g_1(a_0()), d_0(), c_0()) ....... R2 [R1:L0, U10:L0]
% Derivation of unit clause U917:
% ~p_3(x1,x0,x2) | p_3(x0,x1,x2) ....... B2
% ~p_3(x2,x1,x0) | p_3(x0,x1,x2) ....... B3
% ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B2:L1, B3:L0]
% p_3(g_1(a_0()),d_0(),c_0()) ....... U467
% p_3(c_0(), g_1(a_0()), d_0()) ....... R2 [R1:L0, U467:L0]
% Derivation of unit clause U1361:
% ~p_3(x1,x0,x2) | p_3(x0,x1,x2) ....... B2
% ~p_3(x2,x1,x0) | p_3(x0,x1,x2) ....... B3
% ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B2:L1, B3:L0]
% p_3(c_0(),g_1(a_0()),d_0()) ....... U917
% p_3(d_0(), c_0(), g_1(a_0())) ....... R2 [R1:L0, U917:L0]
% Derivation of unit clause U1378:
% ~p_3(x1,x0,x2) | p_3(x0,x1,x2) ....... B2
% ~p_3(x2,x1,x0) | p_3(x0,x1,x2) ....... B3
% ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B2:L1, B3:L0]
% ~p_3(f_1(g_1(a_0())),f_1(g_1(d_0())),g_1(c_0())) ....... U114
% ~p_3(f_1(g_1(d_0())), g_1(c_0()), f_1(g_1(a_0()))) ....... R2 [R1:L1, U114:L0]
% Derivation of unit clause U1382:
% ~p_3(x1,x0,x2) | p_3(x0,x1,x2) ....... B2
% ~p_3(x2,x1,x0) | p_3(x0,x1,x2) ....... B3
% ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B2:L1, B3:L0]
% ~p_3(f_1(g_1(d_0())),g_1(c_0()),f_1(g_1(a_0()))) ....... U1378
% ~p_3(g_1(c_0()), f_1(g_1(a_0())), f_1(g_1(d_0()))) ....... R2 [R1:L1, U1378:L0]
% Derivation of unit clause U2376:
% ~p_3(x1,x0,x2) | p_3(x0,x1,x2) ....... B2
% ~p_3(x0,x1,x2) | p_3(x0,x1,f_1(x2)) ....... B4
% ~p_3(x0, x1, x2) | p_3(x1, x0, f_1(x2)) ....... R1 [B2:L1, B4:L0]
% p_3(d_0(),c_0(),g_1(a_0())) ....... U1361
% p_3(c_0(), d_0(), f_1(g_1(a_0()))) ....... R2 [R1:L0, U1361:L0]
% Derivation of unit clause U5127:
% ~p_3(x1,x0,x2) | p_3(x0,x1,x2) ....... B2
% ~p_3(x0,x1,x2) | p_3(g_1(x0),x1,x2) ....... B5
% ~p_3(x0, x1, x2) | p_3(g_1(x1), x0, x2) ....... R1 [B2:L1, B5:L0]
% p_3(c_0(),d_0(),f_1(g_1(a_0()))) ....... U2376
% p_3(g_1(d_0()), c_0(), f_1(g_1(a_0()))) ....... R2 [R1:L0, U2376:L0]
% Derivation of unit clause U11732:
% ~p_3(x1,x0,x2) | p_3(x0,x1,x2) ....... B2
% ~p_3(x0,x1,x2) | p_3(g_1(x0),x1,x2) ....... B5
% ~p_3(x0, x1, x2) | p_3(g_1(x1), x0, x2) ....... R1 [B2:L1, B5:L0]
% ~p_3(g_1(c_0()),f_1(g_1(a_0())),f_1(g_1(d_0()))) ....... U1382
% ~p_3(f_1(g_1(a_0())), c_0(), f_1(g_1(d_0()))) ....... R2 [R1:L1, U1382:L0]
% Derivation of unit clause U17870:
% ~p_3(x2,x1,x0) | p_3(x0,x1,x2) ....... B3
% ~p_3(x0,x1,x2) | p_3(x0,x1,f_1(x2)) ....... B4
% ~p_3(x0, x1, x2) | p_3(x2, x1, f_1(x0)) ....... R1 [B3:L1, B4:L0]
% p_3(g_1(d_0()),c_0(),f_1(g_1(a_0()))) ....... U5127
% p_3(f_1(g_1(a_0())), c_0(), f_1(g_1(d_0()))) ....... R2 [R1:L0, U5127:L0]
% Derivation of the empty clause:
% p_3(f_1(g_1(a_0())),c_0(),f_1(g_1(d_0()))) ....... U17870
% ~p_3(f_1(g_1(a_0())),c_0(),f_1(g_1(d_0()))) ....... U11732
% [] ....... R1 [U17870:L0, U11732:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 92052
% resolvents: 92048 factors: 4
% Number of unit clauses generated: 91900
% % unit clauses generated to total clauses generated: 99.83
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 3 [1] = 462 [2] = 17406
% Total = 17871
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 91900 [2] = 149 [3] = 3
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p_3 (+)17827 (-)44
% ------------------
% Total: (+)17827 (-)44
% Total number of unit clauses retained: 17871
% Number of clauses skipped because of their length: 21
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 92072
% Number of unification failures: 2001
% Number of unit to unit unification failures: 784372
% N literal unification failure due to lookup root_id table: 168
% N base clause resolution failure due to lookup table: 0
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 6
% N unit clauses dropped because they exceeded max values: 57824
% N unit clauses dropped because too much nesting: 10156
% 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: 15
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 19417
% Total number of terms of all unit clauses in table: 188263
% Max allowed number of states in UCFA: 136000
% Ratio n states used/total allowed states: 0.14
% Ratio n states used/total unit clauses terms: 0.10
% Number of symbols (columns) in UCFA: 41
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 94073
% ConstructUnitClause() = 75692
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.12 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.59 secs
%
%------------------------------------------------------------------------------