%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN621-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art04.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 10:51:20 EST 2010 % Result : Unsatisfiable 0.54s % Output : Refutation 0.54s % 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/SystemOnTPTP15863/SYN/SYN621-1+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 = 4183] [nf = 0] [nu = 4131] [ut = 3037] % Looking for a proof at depth = 2 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B5: ~p2_2(c23_0(),f3_1(c24_0())) % B6: ~p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f15_2(f19_2(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c27_0()),f16_1(f3_1(f17_1(f18_1(c24_0())))))) % B8: p22_2(f20_4(x1,x0,x2,x3),f14_1(f11_2(x1,f12_2(x0,x2)))) | p2_2(x0,f3_1(c24_0())) % B15: ~p22_2(x0,f14_1(f11_2(c25_0(),f12_2(c23_0(),c26_0())))) | p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),x0))) % B24: ~p21_2(x2,x1) | ~p21_2(x0,x2) | p21_2(x0,x1) % B33: p21_2(f5_1(f6_2(x1,f20_4(x2,x0,x3,x1))),f15_2(f19_2(f11_2(x2,f12_2(x0,x3)),x1),f16_1(f3_1(f17_1(f18_1(c24_0())))))) | p2_2(x0,f3_1(c24_0())) % Unit Clauses: % -------------- % U13: < d1 v5 dv3 f4 c2 t11 td4 > p22_2(f20_4(x0,c23_0(),x1,x2),f14_1(f11_2(x0,f12_2(c23_0(),x1)))) % U14: < d1 v7 dv3 f11 c3 t21 td6 > p21_2(f5_1(f6_2(x0,f20_4(x1,c23_0(),x2,x0))),f15_2(f19_2(f11_2(x1,f12_2(c23_0(),x2)),x0),f16_1(f3_1(f17_1(f18_1(c24_0())))))) % U3036: < d1 v1 dv1 f8 c10 t19 td6 > p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),f20_4(c25_0(),c23_0(),c26_0(),x0)))) % U8969: < d2 v0 dv0 f8 c11 t19 td6 > ~p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),f20_4(c25_0(),c23_0(),c26_0(),c27_0())))) % --------------- Start of Proof --------------- % Derivation of unit clause U13: % ~p2_2(c23_0(),f3_1(c24_0())) ....... B5 % p22_2(f20_4(x1,x0,x2,x3),f14_1(f11_2(x1,f12_2(x0,x2)))) | p2_2(x0,f3_1(c24_0())) ....... B8 % p22_2(f20_4(x0, c23_0(), x1, x2), f14_1(f11_2(x0, f12_2(c23_0(), x1)))) ....... R1 [B5:L0, B8:L1] % Derivation of unit clause U14: % ~p2_2(c23_0(),f3_1(c24_0())) ....... B5 % p21_2(f5_1(f6_2(x1,f20_4(x2,x0,x3,x1))),f15_2(f19_2(f11_2(x2,f12_2(x0,x3)),x1),f16_1(f3_1(f17_1(f18_1(c24_0())))))) | p2_2(x0,f3_1(c24_0())) ....... B33 % p21_2(f5_1(f6_2(x0, f20_4(x1, c23_0(), x2, x0))), f15_2(f19_2(f11_2(x1, f12_2(c23_0(), x2)), x0), f16_1(f3_1(f17_1(f18_1(c24_0())))))) ....... R1 [B5:L0, B33:L1] % Derivation of unit clause U3036: % ~p22_2(x0,f14_1(f11_2(c25_0(),f12_2(c23_0(),c26_0())))) | p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),x0))) ....... B15 % p22_2(f20_4(x0,c23_0(),x1,x2),f14_1(f11_2(x0,f12_2(c23_0(),x1)))) ....... U13 % p21_2(f5_1(f6_2(c27_0(), f9_3(f11_2(c25_0(), f12_2(c23_0(), c26_0())), c28_0(), c27_0()))), f5_1(f6_2(c27_0(), f20_4(c25_0(), c23_0(), c26_0(), x0)))) ....... R1 [B15:L0, U13:L0] % Derivation of unit clause U8969: % ~p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f15_2(f19_2(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c27_0()),f16_1(f3_1(f17_1(f18_1(c24_0())))))) ....... B6 % ~p21_2(x2,x1) | ~p21_2(x0,x2) | p21_2(x0,x1) ....... B24 % ~p21_2(x0, f15_2(f19_2(f11_2(c25_0(), f12_2(c23_0(), c26_0())), c27_0()), f16_1(f3_1(f17_1(f18_1(c24_0())))))) | ~p21_2(f5_1(f6_2(c27_0(), f9_3(f11_2(c25_0(), f12_2(c23_0(), c26_0())), c28_0(), c27_0()))), x0) ....... R1 [B6:L0, B24:L2] % p21_2(f5_1(f6_2(x0,f20_4(x1,c23_0(),x2,x0))),f15_2(f19_2(f11_2(x1,f12_2(c23_0(),x2)),x0),f16_1(f3_1(f17_1(f18_1(c24_0())))))) ....... U14 % ~p21_2(f5_1(f6_2(c27_0(), f9_3(f11_2(c25_0(), f12_2(c23_0(), c26_0())), c28_0(), c27_0()))), f5_1(f6_2(c27_0(), f20_4(c25_0(), c23_0(), c26_0(), c27_0())))) ....... R2 [R1:L0, U14:L0] % Derivation of the empty clause: % ~p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),f20_4(c25_0(),c23_0(),c26_0(),c27_0())))) ....... U8969 % p21_2(f5_1(f6_2(c27_0(),f9_3(f11_2(c25_0(),f12_2(c23_0(),c26_0())),c28_0(),c27_0()))),f5_1(f6_2(c27_0(),f20_4(c25_0(),c23_0(),c26_0(),x0)))) ....... U3036 % [] ....... R1 [U8969:L0, U3036:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 15956 % resolvents: 15956 factors: 0 % Number of unit clauses generated: 15837 % % unit clauses generated to total clauses generated: 99.25 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 8 [1] = 3029 [2] = 5933 % Total = 8970 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 15837 [2] = 116 [3] = 3 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p10_2 (+)1322 (-)0 % [1] p13_2 (+)2 (-)0 % [2] p21_2 (+)3 (-)2 % [3] p22_2 (+)1 (-)0 % [4] p2_2 (+)859 (-)2 % [5] p4_2 (+)6116 (-)0 % [6] p7_2 (+)662 (-)0 % [7] p8_2 (+)1 (-)0 % ------------------ % Total: (+)8966 (-)4 % Total number of unit clauses retained: 8970 % Number of clauses skipped because of their length: 352 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 15961 % Number of unification failures: 1780 % Number of unit to unit unification failures: 1722 % N literal unification failure due to lookup root_id table: 275 % N base clause resolution failure due to lookup table: 424 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 5 % N unit clauses dropped because they exceeded max values: 6868 % N unit clauses dropped because too much nesting: 3802 % 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: 38 % Max term depth in a unit clause: 12 % Number of states in UCFA table: 112954 % Total number of terms of all unit clauses in table: 205254 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.21 % Ratio n states used/total unit clauses terms: 0.55 % Number of symbols (columns) in UCFA: 61 % Profile 2: Number of calls to: % ============================== % PTUnify() = 17741 % ConstructUnitClause() = 15830 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.04 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.52 secs % %------------------------------------------------------------------------------