%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN656-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art07.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 11:06:35 EST 2010 % Result : Unsatisfiable 0.56s % Output : Refutation 0.56s % 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/SystemOnTPTP4358/SYN/SYN656-1+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 = 1 secs [nr = 93] [nf = 0] [nu = 34] [ut = 30] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 1792] [nf = 28] [nu = 924] [ut = 194] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p12_2(x0,x0) % B7: p3_2(x0,x0) % B8: p4_2(x0,x0) % B14: p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0)) % B16: ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) % B18: ~p25_2(f5_2(x0,x1),x2) | p25_2(f5_2(f7_2(c28_0(),x0),x1),x2) % B30: ~p25_2(f5_2(f7_2(c28_0(),x0),x3),x2) | ~p25_2(f5_2(x0,x1),x3) | p25_2(f5_2(f7_2(c28_0(),x0),x1),x2) % B39: ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) % B47: ~p25_2(x3,x2) | ~p3_2(x2,x1) | ~p4_2(x3,x0) | p25_2(x0,x1) % Unit Clauses: % -------------- % U14: < d0 v2 dv1 f4 c4 t10 td4 b nc > p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0)) % U16: < d0 v0 dv0 f7 c9 t16 td6 b nc > ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) % U20: < d1 v0 dv0 f6 c8 t14 td6 > ~p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) % U137: < d2 v0 dv0 f6 c8 t14 td5 > ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0()))),f13_2(c31_0(),c34_0())) % U197: < d3 v0 dv0 f4 c6 t10 td4 > p3_2(f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())),f13_2(c31_0(),c34_0())) % U769: < d3 v0 dv0 f6 c8 t14 td6 > p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U14: % p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0)) ....... U14 % Derivation of unit clause U16: % ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... U16 % Derivation of unit clause U20: % ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... B16 % ~p25_2(f5_2(x0,x1),x2) | p25_2(f5_2(f7_2(c28_0(),x0),x1),x2) ....... B18 % ~p25_2(f5_2(c29_0(), f13_2(c31_0(), f15_2(c32_0(), f15_2(f17_2(c33_0(), c34_0()), c35_0())))), f13_2(c31_0(), c34_0())) ....... R1 [B16:L0, B18:L1] % Derivation of unit clause U137: % p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0)) ....... B14 % ~p25_2(f5_2(f7_2(c28_0(),x0),x3),x2) | ~p25_2(f5_2(x0,x1),x3) | p25_2(f5_2(f7_2(c28_0(),x0),x1),x2) ....... B30 % ~p25_2(f5_2(f7_2(c28_0(), c29_0()), f13_2(c31_0(), x0)), x1) | p25_2(f5_2(f7_2(c28_0(), c29_0()), f13_2(c31_0(), f15_2(c32_0(), x0))), x1) ....... R1 [B14:L0, B30:L1] % ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... U16 % ~p25_2(f5_2(f7_2(c28_0(), c29_0()), f13_2(c31_0(), f15_2(f17_2(c33_0(), c34_0()), c35_0()))), f13_2(c31_0(), c34_0())) ....... R2 [R1:L1, U16:L0] % Derivation of unit clause U197: % p3_2(x0,x0) ....... B7 % ~p3_2(x2,x1) | ~p3_2(x2,x0) | p3_2(x0,x1) ....... B39 % ~p3_2(x0, x1) | p3_2(x1, x0) ....... R1 [B7:L0, B39:L0] % p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),x0))),f13_2(c31_0(),c34_0())) | p3_2(f13_2(c31_0(),c34_0()),f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),x0))) ....... B48 % p3_2(f13_2(c31_0(), f15_2(f17_2(c33_0(), c34_0()), x0)), f13_2(c31_0(), c34_0())) | p25_2(f5_2(f7_2(c28_0(), c29_0()), f13_2(c31_0(), f15_2(f17_2(c33_0(), c34_0()), x0))), f13_2(c31_0(), c34_0())) ....... R2 [R1:L0, B48:L1] % ~p25_2(f5_2(f7_2(c28_0(),c29_0()),f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0()))),f13_2(c31_0(),c34_0())) ....... U137 % p3_2(f13_2(c31_0(), f15_2(f17_2(c33_0(), c34_0()), c35_0())), f13_2(c31_0(), c34_0())) ....... R3 [R2:L1, U137:L0] % Derivation of unit clause U769: % p4_2(x0,x0) ....... B8 % ~p25_2(x3,x2) | ~p3_2(x2,x1) | ~p4_2(x3,x0) | p25_2(x0,x1) ....... B47 % ~p25_2(x0, x1) | ~p3_2(x1, x2) | p25_2(x0, x2) ....... R1 [B8:L0, B47:L2] % p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),x0))),f13_2(c31_0(),x0)) ....... U14 % ~p3_2(f13_2(c31_0(), x0), x1) | p25_2(f5_2(c29_0(), f13_2(c31_0(), f15_2(c32_0(), x0))), x1) ....... R2 [R1:L0, U14:L0] % p3_2(f13_2(c31_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())),f13_2(c31_0(),c34_0())) ....... U197 % p25_2(f5_2(c29_0(), f13_2(c31_0(), f15_2(c32_0(), f15_2(f17_2(c33_0(), c34_0()), c35_0())))), f13_2(c31_0(), c34_0())) ....... R3 [R2:L0, U197:L0] % Derivation of the empty clause: % p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... U769 % ~p25_2(f5_2(c29_0(),f13_2(c31_0(),f15_2(c32_0(),f15_2(f17_2(c33_0(),c34_0()),c35_0())))),f13_2(c31_0(),c34_0())) ....... U20 % [] ....... R1 [U769:L0, U20:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 8247 % resolvents: 8112 factors: 135 % Number of unit clauses generated: 6490 % % unit clauses generated to total clauses generated: 78.70 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 18 [1] = 12 [2] = 164 [3] = 576 % Total = 770 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 6490 [2] = 1522 [3] = 235 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p11_2 (+)1 (-)0 % [1] p12_2 (+)8 (-)0 % [2] p14_2 (+)8 (-)0 % [3] p16_2 (+)1 (-)0 % [4] p18_2 (+)16 (-)0 % [5] p20_2 (+)2 (-)0 % [6] p22_2 (+)1 (-)0 % [7] p24_2 (+)2 (-)0 % [8] p25_2 (+)58 (-)57 % [9] p2_2 (+)8 (-)0 % [10] p3_2 (+)35 (-)0 % [11] p4_2 (+)16 (-)532 % [12] p6_2 (+)1 (-)0 % [13] p8_2 (+)1 (-)0 % [14] p9_2 (+)23 (-)0 % ------------------ % Total: (+)181 (-)589 % Total number of unit clauses retained: 770 % Number of clauses skipped because of their length: 6168 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 8256 % Number of unification failures: 3907 % Number of unit to unit unification failures: 11764 % N literal unification failure due to lookup root_id table: 2908 % N base clause resolution failure due to lookup table: 2512 % N UC-BCL resolution dropped due to lookup table: 8 % Max entries in substitution set: 12 % N unit clauses dropped because they exceeded max values: 4269 % N unit clauses dropped because too much nesting: 1406 % 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: 54 % Max term depth in a unit clause: 12 % Number of states in UCFA table: 5822 % Total number of terms of all unit clauses in table: 22330 % 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: 0.26 % Number of symbols (columns) in UCFA: 69 % Profile 2: Number of calls to: % ============================== % PTUnify() = 12163 % ConstructUnitClause() = 5021 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.02 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.54 secs % %------------------------------------------------------------------------------