%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN649-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art03.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 11:05:08 EST 2010 % Result : Unsatisfiable 0.75s % Output : Refutation 0.75s % 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/SystemOnTPTP9822/SYN/SYN649-1+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 = 72] [nf = 0] [nu = 12] [ut = 21] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 910] [nf = 29] [nu = 362] [ut = 91] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p13_2(x0,x0) % B11: p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0()) % B13: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x1)),x0),x2),x3) | p23_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c30_0(),x1),x2),x0),x3)),x3) % B16: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x0),x1) | p23_2(f5_2(c24_0(),x0),f14_2(f22_2(c33_0(),x1),x0)) % B17: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x1),x0) | p23_2(f5_2(f7_2(f10_2(c26_0(),c28_0()),c24_0()),f14_2(f22_2(c33_0(),x0),x1)),x0) % B18: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x0),c29_0()) | ~p23_2(f5_2(c24_0(),c25_0()),x0) % B19: ~p23_2(f5_2(f7_2(f10_2(c26_0(),x0),x1),x2),x4) | ~p23_2(f5_2(x1,x4),x3) | p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x0)),x1),x2),x3) % B43: ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x0)),x1),x2),x3) | p23_2(f5_2(f7_2(f10_2(c26_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c30_0(),x0),x2),x1),x3)) % Unit Clauses: % -------------- % U11: < d0 v0 dv0 f5 c7 t12 td6 b nc > p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0()) % U15: < d1 v0 dv0 f9 c11 t20 td6 > p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),c25_0()),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())) % U17: < d1 v0 dv0 f8 c10 t18 td8 > p23_2(f5_2(c24_0(),c25_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())) % U18: < d1 v0 dv0 f15 c17 t32 td9 > p23_2(f5_2(f7_2(f10_2(c26_0(),c28_0()),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())) % U19: < d1 v0 dv0 f11 c13 t24 td9 > ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),c29_0()) % U912: < d3 v0 dv0 f11 c13 t24 td9 > p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),c29_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U11: % p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0()) ....... U11 % Derivation of unit clause U15: % p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0()) ....... B11 % ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x0)),x1),x2),x3) | p23_2(f5_2(f7_2(f10_2(c26_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c30_0(),x0),x2),x1),x3)) ....... B43 % p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), c28_0())), c24_0()), c25_0()), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())) ....... R1 [B11:L0, B43:L0] % Derivation of unit clause U17: % ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x0),x1) | p23_2(f5_2(c24_0(),x0),f14_2(f22_2(c33_0(),x1),x0)) ....... B16 % p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),c25_0()),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())) ....... U15 % p23_2(f5_2(c24_0(), c25_0()), f14_2(f22_2(c33_0(), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())), c25_0())) ....... R1 [B16:L0, U15:L0] % Derivation of unit clause U18: % ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x1),x0) | p23_2(f5_2(f7_2(f10_2(c26_0(),c28_0()),c24_0()),f14_2(f22_2(c33_0(),x0),x1)),x0) ....... B17 % p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),c25_0()),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())) ....... U15 % p23_2(f5_2(f7_2(f10_2(c26_0(), c28_0()), c24_0()), f14_2(f22_2(c33_0(), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())), c25_0())), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())) ....... R1 [B17:L0, U15:L0] % Derivation of unit clause U19: % ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),x0),c29_0()) | ~p23_2(f5_2(c24_0(),c25_0()),x0) ....... B18 % p23_2(f5_2(c24_0(),c25_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())) ....... U17 % ~p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), c28_0())), c24_0()), f14_2(f22_2(c33_0(), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())), c25_0())), c29_0()) ....... R1 [B18:L1, U17:L0] % Derivation of unit clause U912: % ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x1)),x0),x2),x3) | p23_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c30_0(),x1),x2),x0),x3)),x3) ....... B13 % ~p23_2(f5_2(f7_2(f10_2(c26_0(),x0),x1),x2),x4) | ~p23_2(f5_2(x1,x4),x3) | p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),x0)),x1),x2),x3) ....... B19 % ~p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), x0)), x1), x2), x3) | ~p23_2(f5_2(f7_2(f10_2(c26_0(), x4), x1), x5), f14_2(f16_2(f18_2(f20_2(c30_0(), x0), x2), x1), x3)) | p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), x4)), x1), x5), x3) ....... R1 [B13:L1, B19:L1] % p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),f12_2(c27_0(),c28_0()))),c24_0()),c25_0()),c29_0()) ....... U11 % ~p23_2(f5_2(f7_2(f10_2(c26_0(), x0), c24_0()), x1), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())) | p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), x0)), c24_0()), x1), c29_0()) ....... R2 [R1:L0, U11:L0] % p23_2(f5_2(f7_2(f10_2(c26_0(),c28_0()),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())) ....... U18 % p23_2(f5_2(f7_2(f10_2(c26_0(), f12_2(c27_0(), c28_0())), c24_0()), f14_2(f22_2(c33_0(), f14_2(f16_2(f18_2(f20_2(c30_0(), f12_2(c27_0(), c28_0())), c25_0()), c24_0()), c29_0())), c25_0())), c29_0()) ....... R3 [R2:L0, U18:L0] % Derivation of the empty clause: % p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),c29_0()) ....... U912 % ~p23_2(f5_2(f7_2(f10_2(c26_0(),f12_2(c27_0(),c28_0())),c24_0()),f14_2(f22_2(c33_0(),f14_2(f16_2(f18_2(f20_2(c30_0(),f12_2(c27_0(),c28_0())),c25_0()),c24_0()),c29_0())),c25_0())),c29_0()) ....... U19 % [] ....... R1 [U912:L0, U19:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 20103 % resolvents: 19933 factors: 170 % Number of unit clauses generated: 14965 % % unit clauses generated to total clauses generated: 74.44 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 13 [1] = 8 [2] = 70 [3] = 822 % Total = 913 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 14965 [2] = 4798 [3] = 340 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p11_2 (+)1 (-)0 % [1] p13_2 (+)23 (-)0 % [2] p15_2 (+)17 (-)0 % [3] p17_2 (+)2 (-)0 % [4] p19_2 (+)1 (-)0 % [5] p21_2 (+)1 (-)0 % [6] p23_2 (+)780 (-)1 % [7] p2_2 (+)8 (-)0 % [8] p3_2 (+)46 (-)0 % [9] p4_2 (+)17 (-)5 % [10] p6_2 (+)2 (-)0 % [11] p8_2 (+)1 (-)0 % [12] p9_2 (+)8 (-)0 % ------------------ % Total: (+)907 (-)6 % Total number of unit clauses retained: 913 % Number of clauses skipped because of their length: 25303 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 20110 % Number of unification failures: 316085 % Number of unit to unit unification failures: 864 % N literal unification failure due to lookup root_id table: 43658 % N base clause resolution failure due to lookup table: 4190 % N UC-BCL resolution dropped due to lookup table: 35651 % Max entries in substitution set: 13 % N unit clauses dropped because they exceeded max values: 13634 % N unit clauses dropped because too much nesting: 0 % 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: 64 % Max term depth in a unit clause: 11 % Number of states in UCFA table: 16473 % Total number of terms of all unit clauses in table: 35900 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.03 % Ratio n states used/total unit clauses terms: 0.46 % Number of symbols (columns) in UCFA: 66 % Profile 2: Number of calls to: % ============================== % PTUnify() = 336195 % ConstructUnitClause() = 14534 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.08 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.73 secs % %------------------------------------------------------------------------------