%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN651-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art01.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 11:05:40 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/SystemOnTPTP28300/SYN/SYN651-1+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 = 11] [ut = 20] % Looking for a proof at depth = 2 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B11: p23_2(f5_2(c27_0(),c28_0()),c30_0()) % B12: p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c30_0()),c29_0()) % B13: ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),f12_2(c25_0(),c26_0()))),c27_0()),c28_0()),c29_0()) % B15: ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x1)),x0),x2),x3) | p23_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c31_0(),x1),x2),x0),x3)),x3) % B20: ~p23_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),x4) | ~p23_2(f5_2(x1,x4),x3) | p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x0)),x1),x2),x3) % B42: ~p23_2(f5_2(f7_2(f10_2(c24_0(),c26_0()),c27_0()),x2),x1) | ~p23_2(f5_2(c27_0(),x0),x2) | p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),x0),x1) % B44: ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x0)),x1),x2),x3) | p23_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c31_0(),x0),x2),x1),x3)) % Unit Clauses: % -------------- % U16: < d1 v0 dv0 f5 c7 t12 td6 > p23_2(f5_2(c27_0(),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())),c29_0()) % U19: < d1 v0 dv0 f7 c9 t16 td5 > p23_2(f5_2(f7_2(f10_2(c24_0(),c26_0()),c27_0()),c30_0()),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())) % U80: < d2 v0 dv0 f8 c10 t18 td5 > p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c28_0()),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())) % U82: < d2 v0 dv0 f5 c7 t12 td6 > ~p23_2(f5_2(c27_0(),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())),c29_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U16: % p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c30_0()),c29_0()) ....... B12 % ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x1)),x0),x2),x3) | p23_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c31_0(),x1),x2),x0),x3)),x3) ....... B15 % p23_2(f5_2(c27_0(), f14_2(f16_2(f18_2(f20_2(c31_0(), c26_0()), c30_0()), c27_0()), c29_0())), c29_0()) ....... R1 [B12:L0, B15:L0] % Derivation of unit clause U19: % p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c30_0()),c29_0()) ....... B12 % ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x0)),x1),x2),x3) | p23_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c31_0(),x0),x2),x1),x3)) ....... B44 % p23_2(f5_2(f7_2(f10_2(c24_0(), c26_0()), c27_0()), c30_0()), f14_2(f16_2(f18_2(f20_2(c31_0(), c26_0()), c30_0()), c27_0()), c29_0())) ....... R1 [B12:L0, B44:L0] % Derivation of unit clause U80: % p23_2(f5_2(c27_0(),c28_0()),c30_0()) ....... B11 % ~p23_2(f5_2(f7_2(f10_2(c24_0(),c26_0()),c27_0()),x2),x1) | ~p23_2(f5_2(c27_0(),x0),x2) | p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),x0),x1) ....... B42 % ~p23_2(f5_2(f7_2(f10_2(c24_0(), c26_0()), c27_0()), c30_0()), x0) | p23_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), c27_0()), c28_0()), x0) ....... R1 [B11:L0, B42:L1] % p23_2(f5_2(f7_2(f10_2(c24_0(),c26_0()),c27_0()),c30_0()),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())) ....... U19 % p23_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), c27_0()), c28_0()), f14_2(f16_2(f18_2(f20_2(c31_0(), c26_0()), c30_0()), c27_0()), c29_0())) ....... R2 [R1:L0, U19:L0] % Derivation of unit clause U82: % ~p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),f12_2(c25_0(),c26_0()))),c27_0()),c28_0()),c29_0()) ....... B13 % ~p23_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),x4) | ~p23_2(f5_2(x1,x4),x3) | p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),x0)),x1),x2),x3) ....... B20 % ~p23_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), c27_0()), c28_0()), x0) | ~p23_2(f5_2(c27_0(), x0), c29_0()) ....... R1 [B13:L0, B20:L2] % p23_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c27_0()),c28_0()),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())) ....... U80 % ~p23_2(f5_2(c27_0(), f14_2(f16_2(f18_2(f20_2(c31_0(), c26_0()), c30_0()), c27_0()), c29_0())), c29_0()) ....... R2 [R1:L0, U80:L0] % Derivation of the empty clause: % ~p23_2(f5_2(c27_0(),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())),c29_0()) ....... U82 % p23_2(f5_2(c27_0(),f14_2(f16_2(f18_2(f20_2(c31_0(),c26_0()),c30_0()),c27_0()),c29_0())),c29_0()) ....... U16 % [] ....... R1 [U82:L0, U16:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 297 % resolvents: 297 factors: 0 % Number of unit clauses generated: 159 % % unit clauses generated to total clauses generated: 53.54 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 15 [1] = 5 [2] = 63 % Total = 83 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 159 [2] = 134 [3] = 4 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p11_2 (+)1 (-)0 % [1] p13_2 (+)15 (-)0 % [2] p15_2 (+)9 (-)0 % [3] p17_2 (+)2 (-)0 % [4] p19_2 (+)1 (-)0 % [5] p21_2 (+)1 (-)0 % [6] p23_2 (+)10 (-)2 % [7] p2_2 (+)8 (-)0 % [8] p3_2 (+)20 (-)0 % [9] p4_2 (+)9 (-)0 % [10] p6_2 (+)2 (-)0 % [11] p8_2 (+)1 (-)0 % [12] p9_2 (+)2 (-)0 % ------------------ % Total: (+)81 (-)2 % Total number of unit clauses retained: 83 % Number of clauses skipped because of their length: 1123 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 303 % Number of unification failures: 73 % Number of unit to unit unification failures: 13 % N literal unification failure due to lookup root_id table: 283 % N base clause resolution failure due to lookup table: 987 % 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: 86 % 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: 30 % Max term depth in a unit clause: 8 % Number of states in UCFA table: 777 % Total number of terms of all unit clauses in table: 1202 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.65 % Number of symbols (columns) in UCFA: 67 % Profile 2: Number of calls to: % ============================== % PTUnify() = 376 % ConstructUnitClause() = 154 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.52 secs % %------------------------------------------------------------------------------