%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN592-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art09.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 10:34:24 EST 2010 % Result : Unsatisfiable 7.15s % Output : Refutation 7.15s % 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/SystemOnTPTP11514/SYN/SYN592-1+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 = 76] [nf = 0] [nu = 54] [ut = 46] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 1634] [nf = 16] [nu = 1094] [ut = 151] % Looking for a proof at depth = 3 ... % t = 1 secs [nr = 95019] [nf = 164] [nu = 84680] [ut = 243] % Looking for a proof at depth = 4 ... % t = 4 secs [nr = 1359621] [nf = 7290] [nu = 1230083] [ut = 283] % Looking for a proof at depth = 5 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p10_2(c14_0(),x0) % B1: p2_2(x0,x0) % B2: p3_2(x0,x0) % B9: p12_2(c14_0(),f4_2(c18_0(),c17_0())) % B10: ~p11_2(c13_0(),f4_2(c17_0(),f5_1(c18_0()))) % B11: ~p11_2(c13_0(),f4_2(f5_1(c18_0()),c17_0())) % B16: ~p12_2(c14_0(),f4_2(x0,c17_0())) | p2_2(f6_1(x0),f5_1(x0)) % B17: ~p2_2(x1,x3) | ~p2_2(x0,x2) | p3_2(f4_2(x0,x1),f4_2(x2,x3)) % B24: ~p11_2(x3,x2) | ~p3_2(x2,x1) | ~p7_2(x3,x0) | p11_2(x0,x1) % Unit Clauses: % -------------- % U9: < d0 v0 dv0 f1 c3 t4 td2 b nc > p12_2(c14_0(),f4_2(c18_0(),c17_0())) % U12: < d0 v2 dv1 f0 c0 t2 td1 b nc > p7_2(x0,x0) % U18: < d1 v0 dv0 f2 c2 t4 td2 > p2_2(f6_1(c18_0()),f5_1(c18_0())) % U49: < d2 v2 dv1 f4 c2 t8 td3 > p3_2(f4_2(f6_1(c18_0()),x0),f4_2(f5_1(c18_0()),x0)) % U58: < d2 v2 dv1 f4 c2 t8 td3 > p3_2(f4_2(x0,f6_1(c18_0())),f4_2(x0,f5_1(c18_0()))) % U211: < d3 v0 dv0 f2 c3 t5 td3 > ~p11_2(c13_0(),f4_2(c17_0(),f6_1(c18_0()))) % U212: < d3 v0 dv0 f2 c3 t5 td3 > ~p11_2(c13_0(),f4_2(f6_1(c18_0()),c17_0())) % U283: < d5 v0 dv0 f2 c3 t5 td3 > p11_2(c13_0(),f4_2(f6_1(c18_0()),c17_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U9: % p12_2(c14_0(),f4_2(c18_0(),c17_0())) ....... U9 % Derivation of unit clause U12: % p7_2(x0,x0) ....... U12 % Derivation of unit clause U18: % p12_2(c14_0(),f4_2(c18_0(),c17_0())) ....... B9 % ~p12_2(c14_0(),f4_2(x0,c17_0())) | p2_2(f6_1(x0),f5_1(x0)) ....... B16 % p2_2(f6_1(c18_0()), f5_1(c18_0())) ....... R1 [B9:L0, B16:L0] % Derivation of unit clause U49: % p2_2(x0,x0) ....... B1 % ~p2_2(x1,x3) | ~p2_2(x0,x2) | p3_2(f4_2(x0,x1),f4_2(x2,x3)) ....... B17 % ~p2_2(x0, x1) | p3_2(f4_2(x0, x2), f4_2(x1, x2)) ....... R1 [B1:L0, B17:L0] % p2_2(f6_1(c18_0()),f5_1(c18_0())) ....... U18 % p3_2(f4_2(f6_1(c18_0()), x0), f4_2(f5_1(c18_0()), x0)) ....... R2 [R1:L0, U18:L0] % Derivation of unit clause U58: % p2_2(x0,x0) ....... B1 % ~p2_2(x1,x3) | ~p2_2(x0,x2) | p3_2(f4_2(x0,x1),f4_2(x2,x3)) ....... B17 % ~p2_2(x0, x1) | p3_2(f4_2(x2, x0), f4_2(x2, x1)) ....... R1 [B1:L0, B17:L1] % p2_2(f6_1(c18_0()),f5_1(c18_0())) ....... U18 % p3_2(f4_2(x0, f6_1(c18_0())), f4_2(x0, f5_1(c18_0()))) ....... R2 [R1:L0, U18:L0] % Derivation of unit clause U211: % ~p11_2(c13_0(),f4_2(c17_0(),f5_1(c18_0()))) ....... B10 % ~p11_2(x3,x2) | ~p3_2(x2,x1) | ~p7_2(x3,x0) | p11_2(x0,x1) ....... B24 % ~p11_2(x0, x1) | ~p3_2(x1, f4_2(c17_0(), f5_1(c18_0()))) | ~p7_2(x0, c13_0()) ....... R1 [B10:L0, B24:L3] % p3_2(f4_2(x0,f6_1(c18_0())),f4_2(x0,f5_1(c18_0()))) ....... U58 % ~p11_2(x0, f4_2(c17_0(), f6_1(c18_0()))) | ~p7_2(x0, c13_0()) ....... R2 [R1:L1, U58:L0] % p7_2(x0,x0) ....... U12 % ~p11_2(c13_0(), f4_2(c17_0(), f6_1(c18_0()))) ....... R3 [R2:L1, U12:L0] % Derivation of unit clause U212: % ~p11_2(c13_0(),f4_2(f5_1(c18_0()),c17_0())) ....... B11 % ~p11_2(x3,x2) | ~p3_2(x2,x1) | ~p7_2(x3,x0) | p11_2(x0,x1) ....... B24 % ~p11_2(x0, x1) | ~p3_2(x1, f4_2(f5_1(c18_0()), c17_0())) | ~p7_2(x0, c13_0()) ....... R1 [B11:L0, B24:L3] % p3_2(f4_2(f6_1(c18_0()),x0),f4_2(f5_1(c18_0()),x0)) ....... U49 % ~p11_2(x0, f4_2(f6_1(c18_0()), c17_0())) | ~p7_2(x0, c13_0()) ....... R2 [R1:L1, U49:L0] % p7_2(x0,x0) ....... U12 % ~p11_2(c13_0(), f4_2(f6_1(c18_0()), c17_0())) ....... R3 [R2:L1, U12:L0] % Derivation of unit clause U283: % p3_2(x0,x0) ....... B2 % ~p11_2(x3,x2) | ~p3_2(x2,x1) | ~p7_2(x3,x0) | p11_2(x0,x1) ....... B24 % ~p11_2(x0, x1) | ~p7_2(x0, x2) | p11_2(x2, x1) ....... R1 [B2:L0, B24:L1] % p7_2(x0,x0) ....... U12 % ~p11_2(x0, x1) | p11_2(x0, x1) ....... R2 [R1:L1, U12:L0] % ~p12_2(c14_0(),f4_2(x0,c17_0())) | p11_2(c13_0(),f4_2(c17_0(),f6_1(x0))) | p11_2(c13_0(),f4_2(f6_1(x0),c17_0())) ....... B26 % p11_2(c13_0(), f4_2(c17_0(), f6_1(x0))) | ~p12_2(c14_0(), f4_2(x0, c17_0())) | p11_2(c13_0(), f4_2(f6_1(x0), c17_0())) ....... R3 [R2:L0, B26:L1] % ~p11_2(c13_0(),f4_2(c17_0(),f6_1(c18_0()))) ....... U211 % ~p12_2(c14_0(), f4_2(c18_0(), c17_0())) | p11_2(c13_0(), f4_2(f6_1(c18_0()), c17_0())) ....... R4 [R3:L0, U211:L0] % p12_2(c14_0(),f4_2(c18_0(),c17_0())) ....... U9 % p11_2(c13_0(), f4_2(f6_1(c18_0()), c17_0())) ....... R5 [R4:L0, U9:L0] % Derivation of the empty clause: % p11_2(c13_0(),f4_2(f6_1(c18_0()),c17_0())) ....... U283 % ~p11_2(c13_0(),f4_2(f6_1(c18_0()),c17_0())) ....... U212 % [] ....... R1 [U283:L0, U212:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 2905031 % resolvents: 2877627 factors: 27404 % Number of unit clauses generated: 2604950 % % unit clauses generated to total clauses generated: 89.67 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 13 [1] = 33 [2] = 105 [3] = 92 % [4] = 40 [5] = 1 % Total = 284 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 2604950 [2] = 269289 [3] = 30792 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p8_1 (+)1 (-)0 % [1] p9_1 (+)1 (-)0 % [2] p10_2 (+)64 (-)0 % [3] p11_2 (+)4 (-)4 % [4] p12_2 (+)1 (-)0 % [5] p2_2 (+)91 (-)2 % [6] p3_2 (+)115 (-)0 % [7] p7_2 (+)1 (-)0 % ------------------ % Total: (+)278 (-)6 % Total number of unit clauses retained: 284 % Number of clauses skipped because of their length: 502142 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 2905047 % Number of unification failures: 3333213 % Number of unit to unit unification failures: 197 % N literal unification failure due to lookup root_id table: 621694 % N base clause resolution failure due to lookup table: 264076 % N UC-BCL resolution dropped due to lookup table: 385 % Max entries in substitution set: 11 % N unit clauses dropped because they exceeded max values: 2323265 % N unit clauses dropped because too much nesting: 1906731 % 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: 10 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 828 % Total number of terms of all unit clauses in table: 2229 % Max allowed number of states in UCFA: 96000 % Ratio n states used/total allowed states: 0.01 % Ratio n states used/total unit clauses terms: 0.37 % Number of symbols (columns) in UCFA: 51 % Profile 2: Number of calls to: % ============================== % PTUnify() = 6238260 % ConstructUnitClause() = 2323536 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 2.73 secs % -------------------------------------------------------- % | | % Inferences per sec: 415004 % | | % -------------------------------------------------------- % Elapsed time: 8 secs % CPU time: 7.14 secs % %------------------------------------------------------------------------------