TSTP Solution File: SYN632-1 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN632-1 : TPTP v5.0.0. Released v2.5.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art05.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 10:55:23 EST 2010
% Result : Unsatisfiable 0.49s
% Output : Refutation 0.49s
% 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/SystemOnTPTP7914/SYN/SYN632-1+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 = 61] [nf = 0] [nu = 9] [ut = 17]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 1296] [nf = 24] [nu = 620] [ut = 165]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B4: p2_2(x0,x0)
% B5: p3_2(x0,x0)
% B6: p4_2(x0,x0)
% B10: p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),f12_2(c25_0(),c26_0()))),c22_0()),c23_0()),c27_0())
% B12: ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),x1)),x0),x2),x3) | p21_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),x1),x2),x0),x3)),x3)
% B13: ~p3_2(x1,x2) | p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x0),x1),x2)
% B14: ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x2),x0),x1) | p3_2(x0,x1)
% B15: ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c22_0()),x0),c27_0()) | ~p21_2(f5_2(c22_0(),c23_0()),x0)
% B22: ~p2_2(x0,x2) | ~p3_2(x1,x3) | p4_2(f5_2(x0,x1),f5_2(x2,x3))
% B32: ~p4_2(x2,x1) | ~p4_2(x2,x0) | p4_2(x0,x1)
% B36: ~p21_2(x3,x2) | ~p3_2(x2,x1) | ~p4_2(x3,x0) | p21_2(x0,x1)
% B37: ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),x0)),x1),x2),x3) | p21_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c29_0(),x0),x2),x1),x3))
% Unit Clauses:
% --------------
% U12: < d1 v3 dv2 f4 c3 t10 td5 > p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x0),x1),x1)
% U13: < d1 v0 dv0 f6 c8 t14 td7 > p21_2(f5_2(c22_0(),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())),c27_0())
% U14: < d1 v0 dv0 f9 c11 t20 td6 > p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c22_0()),c23_0()),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0()))
% U15: < d1 v0 dv0 f5 c7 t12 td6 > p3_2(c23_0(),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0()))
% U16: < d1 v0 dv0 f1 c3 t4 td2 > ~p21_2(f5_2(c22_0(),c23_0()),c27_0())
% U57: < d2 v2 dv1 f7 c7 t16 td7 > p4_2(f5_2(x0,c23_0()),f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())))
% U93: < d2 v2 dv1 f7 c7 t16 td7 > p4_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())),f5_2(x0,c23_0()))
% U339: < d3 v0 dv0 f1 c3 t4 td2 > p21_2(f5_2(c22_0(),c23_0()),c27_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U12:
% p3_2(x0,x0) ....... B5
% ~p3_2(x1,x2) | p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x0),x1),x2) ....... B13
% p21_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), x0), x1), x1) ....... R1 [B5:L0, B13:L0]
% Derivation of unit clause U13:
% p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),f12_2(c25_0(),c26_0()))),c22_0()),c23_0()),c27_0()) ....... B10
% ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),x1)),x0),x2),x3) | p21_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),x1),x2),x0),x3)),x3) ....... B12
% p21_2(f5_2(c22_0(), f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())), c27_0()) ....... R1 [B10:L0, B12:L0]
% Derivation of unit clause U14:
% p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),f12_2(c25_0(),c26_0()))),c22_0()),c23_0()),c27_0()) ....... B10
% ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),x0)),x1),x2),x3) | p21_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c29_0(),x0),x2),x1),x3)) ....... B37
% p21_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), c22_0()), c23_0()), f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())) ....... R1 [B10:L0, B37:L0]
% Derivation of unit clause U15:
% ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x2),x0),x1) | p3_2(x0,x1) ....... B14
% p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c22_0()),c23_0()),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())) ....... U14
% p3_2(c23_0(), f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())) ....... R1 [B14:L0, U14:L0]
% Derivation of unit clause U16:
% ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c22_0()),x0),c27_0()) | ~p21_2(f5_2(c22_0(),c23_0()),x0) ....... B15
% p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x0),x1),x1) ....... U12
% ~p21_2(f5_2(c22_0(), c23_0()), c27_0()) ....... R1 [B15:L0, U12:L0]
% Derivation of unit clause U57:
% p2_2(x0,x0) ....... B4
% ~p2_2(x0,x2) | ~p3_2(x1,x3) | p4_2(f5_2(x0,x1),f5_2(x2,x3)) ....... B22
% ~p3_2(x0, x1) | p4_2(f5_2(x2, x0), f5_2(x2, x1)) ....... R1 [B4:L0, B22:L0]
% p3_2(c23_0(),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())) ....... U15
% p4_2(f5_2(x0, c23_0()), f5_2(x0, f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0()))) ....... R2 [R1:L0, U15:L0]
% Derivation of unit clause U93:
% p4_2(x0,x0) ....... B6
% ~p4_2(x2,x1) | ~p4_2(x2,x0) | p4_2(x0,x1) ....... B32
% ~p4_2(x0, x1) | p4_2(x1, x0) ....... R1 [B6:L0, B32:L0]
% p4_2(f5_2(x0,c23_0()),f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0()))) ....... U57
% p4_2(f5_2(x0, f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())), f5_2(x0, c23_0())) ....... R2 [R1:L0, U57:L0]
% Derivation of unit clause U339:
% p3_2(x0,x0) ....... B5
% ~p21_2(x3,x2) | ~p3_2(x2,x1) | ~p4_2(x3,x0) | p21_2(x0,x1) ....... B36
% ~p21_2(x0, x1) | ~p4_2(x0, x2) | p21_2(x2, x1) ....... R1 [B5:L0, B36:L1]
% p21_2(f5_2(c22_0(),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())),c27_0()) ....... U13
% ~p4_2(f5_2(c22_0(), f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())), x0) | p21_2(x0, c27_0()) ....... R2 [R1:L0, U13:L0]
% p4_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())),f5_2(x0,c23_0())) ....... U93
% p21_2(f5_2(c22_0(), c23_0()), c27_0()) ....... R3 [R2:L0, U93:L0]
% Derivation of the empty clause:
% p21_2(f5_2(c22_0(),c23_0()),c27_0()) ....... U339
% ~p21_2(f5_2(c22_0(),c23_0()),c27_0()) ....... U16
% [] ....... R1 [U339:L0, U16:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 2741
% resolvents: 2647 factors: 94
% Number of unit clauses generated: 1779
% % unit clauses generated to total clauses generated: 64.90
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 12 [1] = 5 [2] = 148 [3] = 175
% Total = 340
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 1779 [2] = 823 [3] = 139
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p11_2 (+)1 (-)0
% [1] p13_2 (+)18 (-)0
% [2] p15_2 (+)47 (-)0
% [3] p17_2 (+)2 (-)0
% [4] p19_2 (+)1 (-)0
% [5] p21_2 (+)102 (-)1
% [6] p2_2 (+)8 (-)0
% [7] p3_2 (+)98 (-)0
% [8] p4_2 (+)49 (-)2
% [9] p6_2 (+)2 (-)0
% [10] p8_2 (+)1 (-)0
% [11] p9_2 (+)8 (-)0
% ------------------
% Total: (+)337 (-)3
% Total number of unit clauses retained: 340
% Number of clauses skipped because of their length: 1930
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 2753
% Number of unification failures: 324
% Number of unit to unit unification failures: 199
% N literal unification failure due to lookup root_id table: 1036
% N base clause resolution failure due to lookup table: 1616
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 8
% N unit clauses dropped because they exceeded max values: 851
% N unit clauses dropped because too much nesting: 37
% 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: 60
% Max term depth in a unit clause: 12
% Number of states in UCFA table: 4513
% Total number of terms of all unit clauses in table: 9372
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.01
% Ratio n states used/total unit clauses terms: 0.48
% Number of symbols (columns) in UCFA: 62
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 3077
% ConstructUnitClause() = 1179
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.01 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.47 secs
%
%------------------------------------------------------------------------------