TSTP Solution File: SYN310-1 by CARINE---0.734
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN310-1 : TPTP v5.0.0. Released v1.2.0.
% 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 08:50:52 EST 2010
% Result : Unsatisfiable 0.20s
% Output : Refutation 0.20s
% 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/SystemOnTPTP29465/SYN/SYN310-1+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 = 375] [nf = 0] [nu = 355] [ut = 268]
% 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(a_0(),b_0(),c_0())
% B1: ~p_3(x0,x1,x2) | p_3(x1,x0,x2)
% B2: ~p_3(x0,x1,x2) | p_3(x2,x1,x0)
% B3: ~p_3(x0,x1,g_1(x2)) | p_3(x0,x1,x2)
% B4: ~p_3(f_1(x0),x1,x2) | p_3(x0,x1,x2)
% Unit Clauses:
% --------------
% U1: < d0 v0 dv0 f6 c3 t9 td3 b nc > p_3(f_1(g_1(a_0())),f_1(g_1(b_0())),f_1(g_1(c_0())))
% U4: < d1 v0 dv0 f1 c3 t4 td2 > ~p_3(a_0(),b_0(),g_1(c_0()))
% U8: < d1 v0 dv0 f1 c3 t4 td2 > ~p_3(b_0(),a_0(),g_1(c_0()))
% U16: < d1 v0 dv0 f1 c3 t4 td2 > ~p_3(g_1(c_0()),a_0(),b_0())
% U28: < d1 v0 dv0 f2 c3 t5 td2 > ~p_3(g_1(c_0()),a_0(),g_1(b_0()))
% U63: < d1 v0 dv0 f5 c3 t8 td3 > p_3(g_1(a_0()),f_1(g_1(b_0())),f_1(g_1(c_0())))
% U88: < d1 v0 dv0 f3 c3 t6 td3 > ~p_3(f_1(g_1(c_0())),a_0(),g_1(b_0()))
% U270: < d2 v0 dv0 f5 c3 t8 td3 > p_3(f_1(g_1(c_0())),g_1(a_0()),f_1(g_1(b_0())))
% U274: < d2 v0 dv0 f5 c3 t8 td3 > p_3(f_1(g_1(b_0())),f_1(g_1(c_0())),g_1(a_0()))
% U346: < d2 v0 dv0 f3 c3 t6 td3 > ~p_3(a_0(),g_1(b_0()),f_1(g_1(c_0())))
% U591: < d2 v0 dv0 f3 c3 t6 td3 > ~p_3(g_1(b_0()),f_1(g_1(c_0())),a_0())
% U771: < d2 v0 dv0 f4 c3 t7 td3 > p_3(f_1(g_1(c_0())),f_1(g_1(b_0())),a_0())
% U2156: < d2 v0 dv0 f3 c3 t6 td3 > p_3(g_1(b_0()),f_1(g_1(c_0())),a_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% p_3(f_1(g_1(a_0())),f_1(g_1(b_0())),f_1(g_1(c_0()))) ....... U1
% Derivation of unit clause U4:
% ~p_3(a_0(),b_0(),c_0()) ....... B0
% ~p_3(x0,x1,g_1(x2)) | p_3(x0,x1,x2) ....... B3
% ~p_3(a_0(), b_0(), g_1(c_0())) ....... R1 [B0:L0, B3:L1]
% Derivation of unit clause U8:
% ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1
% ~p_3(a_0(),b_0(),g_1(c_0())) ....... U4
% ~p_3(b_0(), a_0(), g_1(c_0())) ....... R1 [B1:L1, U4:L0]
% Derivation of unit clause U16:
% ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2
% ~p_3(b_0(),a_0(),g_1(c_0())) ....... U8
% ~p_3(g_1(c_0()), a_0(), b_0()) ....... R1 [B2:L1, U8:L0]
% Derivation of unit clause U28:
% ~p_3(x0,x1,g_1(x2)) | p_3(x0,x1,x2) ....... B3
% ~p_3(g_1(c_0()),a_0(),b_0()) ....... U16
% ~p_3(g_1(c_0()), a_0(), g_1(b_0())) ....... R1 [B3:L1, U16:L0]
% Derivation of unit clause U63:
% ~p_3(f_1(x0),x1,x2) | p_3(x0,x1,x2) ....... B4
% p_3(f_1(g_1(a_0())),f_1(g_1(b_0())),f_1(g_1(c_0()))) ....... U1
% p_3(g_1(a_0()), f_1(g_1(b_0())), f_1(g_1(c_0()))) ....... R1 [B4:L0, U1:L0]
% Derivation of unit clause U88:
% ~p_3(f_1(x0),x1,x2) | p_3(x0,x1,x2) ....... B4
% ~p_3(g_1(c_0()),a_0(),g_1(b_0())) ....... U28
% ~p_3(f_1(g_1(c_0())), a_0(), g_1(b_0())) ....... R1 [B4:L1, U28:L0]
% Derivation of unit clause U270:
% ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1
% ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2
% ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B1:L1, B2:L0]
% p_3(g_1(a_0()),f_1(g_1(b_0())),f_1(g_1(c_0()))) ....... U63
% p_3(f_1(g_1(c_0())), g_1(a_0()), f_1(g_1(b_0()))) ....... R2 [R1:L0, U63:L0]
% Derivation of unit clause U274:
% ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1
% ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2
% ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B1:L1, B2:L0]
% p_3(f_1(g_1(c_0())),g_1(a_0()),f_1(g_1(b_0()))) ....... U270
% p_3(f_1(g_1(b_0())), f_1(g_1(c_0())), g_1(a_0())) ....... R2 [R1:L0, U270:L0]
% Derivation of unit clause U346:
% ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1
% ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2
% ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B1:L1, B2:L0]
% ~p_3(f_1(g_1(c_0())),a_0(),g_1(b_0())) ....... U88
% ~p_3(a_0(), g_1(b_0()), f_1(g_1(c_0()))) ....... R2 [R1:L1, U88:L0]
% Derivation of unit clause U591:
% ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1
% ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2
% ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B1:L1, B2:L0]
% ~p_3(a_0(),g_1(b_0()),f_1(g_1(c_0()))) ....... U346
% ~p_3(g_1(b_0()), f_1(g_1(c_0())), a_0()) ....... R2 [R1:L1, U346:L0]
% Derivation of unit clause U771:
% ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1
% ~p_3(x0,x1,g_1(x2)) | p_3(x0,x1,x2) ....... B3
% ~p_3(x0, x1, g_1(x2)) | p_3(x1, x0, x2) ....... R1 [B1:L1, B3:L0]
% p_3(f_1(g_1(b_0())),f_1(g_1(c_0())),g_1(a_0())) ....... U274
% p_3(f_1(g_1(c_0())), f_1(g_1(b_0())), a_0()) ....... R2 [R1:L0, U274:L0]
% Derivation of unit clause U2156:
% ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1
% ~p_3(f_1(x0),x1,x2) | p_3(x0,x1,x2) ....... B4
% ~p_3(x0, f_1(x1), x2) | p_3(x1, x0, x2) ....... R1 [B1:L1, B4:L0]
% p_3(f_1(g_1(c_0())),f_1(g_1(b_0())),a_0()) ....... U771
% p_3(g_1(b_0()), f_1(g_1(c_0())), a_0()) ....... R2 [R1:L0, U771:L0]
% Derivation of the empty clause:
% p_3(g_1(b_0()),f_1(g_1(c_0())),a_0()) ....... U2156
% ~p_3(g_1(b_0()),f_1(g_1(c_0())),a_0()) ....... U591
% [] ....... R1 [U2156:L0, U591:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 7051
% resolvents: 7051 factors: 0
% Number of unit clauses generated: 6976
% % unit clauses generated to total clauses generated: 98.94
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 2 [1] = 266 [2] = 1889
% Total = 2157
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 6976 [2] = 75
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p_3 (+)33 (-)2124
% ------------------
% Total: (+)33 (-)2124
% Total number of unit clauses retained: 2157
% Number of clauses skipped because of their length: 0
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 7069
% Number of unification failures: 46
% Number of unit to unit unification failures: 68541
% N literal unification failure due to lookup root_id table: 85
% 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: 4549
% N unit clauses dropped because too much nesting: 1150
% 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: 3042
% Total number of terms of all unit clauses in table: 18874
% Max allowed number of states in UCFA: 136000
% Ratio n states used/total allowed states: 0.02
% Ratio n states used/total unit clauses terms: 0.16
% Number of symbols (columns) in UCFA: 40
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 7115
% ConstructUnitClause() = 6704
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.20 secs
%
%------------------------------------------------------------------------------