%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN631-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art06.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 10:55:13 EST 2010 % Result : Unsatisfiable 122.78s % Output : Refutation 122.78s % 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/SystemOnTPTP7321/SYN/SYN631-1+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 = 291] [nf = 0] [nu = 234] [ut = 129] % Looking for a proof at depth = 2 ... % t = 1 secs [nr = 16086] [nf = 54] [nu = 12269] [ut = 695] % Looking for a proof at depth = 3 ... % Entering time slice 2 % Updating parameters ... done. % Looking for a proof at depth = 1 ... % t = 123 secs [nr = 45934524] [nf = 345] [nu = 45697485] [ut = 4110] % Looking for a proof at depth = 2 ... % t = 124 secs [nr = 46107725] [nf = 399] [nu = 45841934] [ut = 5804] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p5_2(f17_1(f18_2(x0,x1)),x0) % B1: p5_2(f16_1(f18_2(x0,x1)),x1) % B2: p10_2(x0,x0) % B6: p5_2(x0,x0) % B11: p23_2(f13_2(c27_0(),f14_1(c28_0())),f11_1(f15_1(c24_0()))) % B13: ~p23_2(f13_2(x0,x2),f11_1(f15_1(x1))) | p5_2(x0,f18_2(f20_1(c29_0()),f19_3(x1,x0,x2))) % B14: ~p23_2(f13_2(x1,x2),f11_1(f15_1(x0))) | p23_2(f13_2(f19_3(x0,x1,x2),x2),f11_1(x0)) % B22: ~p5_2(x1,x3) | ~p5_2(x0,x2) | p12_2(f13_2(x0,x1),f13_2(x2,x3)) % B28: ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) % B34: ~p10_2(x3,x1) | ~p12_2(x2,x0) | ~p23_2(x2,x3) | p23_2(x0,x1) % Unit Clauses: % -------------- % U10: < d0 v0 dv0 f4 c3 t7 td3 b nc > ~p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0())) % U24: < d1 v0 dv0 f4 c5 t9 td4 > p5_2(c27_0(),f18_2(f20_1(c29_0()),f19_3(c24_0(),c27_0(),f14_1(c28_0())))) % U25: < d1 v0 dv0 f5 c5 t10 td4 > p23_2(f13_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),f14_1(c28_0())),f11_1(c24_0())) % U423: < d2 v0 dv0 f4 c5 t9 td4 > p5_2(f18_2(f20_1(c29_0()),f19_3(c24_0(),c27_0(),f14_1(c28_0()))),c27_0()) % U1301: < d3 v0 dv0 f3 c4 t7 td3 > p5_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),f16_1(c27_0())) % U4769: < d2 v2 dv1 f5 c4 t11 td4 > p12_2(f13_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),x0),f13_2(f16_1(c27_0()),x0)) % U6769: < d3 v0 dv0 f4 c3 t7 td3 > p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U10: % ~p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0())) ....... U10 % Derivation of unit clause U24: % p23_2(f13_2(c27_0(),f14_1(c28_0())),f11_1(f15_1(c24_0()))) ....... B11 % ~p23_2(f13_2(x0,x2),f11_1(f15_1(x1))) | p5_2(x0,f18_2(f20_1(c29_0()),f19_3(x1,x0,x2))) ....... B13 % p5_2(c27_0(), f18_2(f20_1(c29_0()), f19_3(c24_0(), c27_0(), f14_1(c28_0())))) ....... R1 [B11:L0, B13:L0] % Derivation of unit clause U25: % p23_2(f13_2(c27_0(),f14_1(c28_0())),f11_1(f15_1(c24_0()))) ....... B11 % ~p23_2(f13_2(x1,x2),f11_1(f15_1(x0))) | p23_2(f13_2(f19_3(x0,x1,x2),x2),f11_1(x0)) ....... B14 % p23_2(f13_2(f19_3(c24_0(), c27_0(), f14_1(c28_0())), f14_1(c28_0())), f11_1(c24_0())) ....... R1 [B11:L0, B14:L0] % Derivation of unit clause U423: % p5_2(x0,x0) ....... B6 % ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B28 % ~p5_2(x0, x1) | p5_2(x1, x0) ....... R1 [B6:L0, B28:L0] % p5_2(c27_0(),f18_2(f20_1(c29_0()),f19_3(c24_0(),c27_0(),f14_1(c28_0())))) ....... U24 % p5_2(f18_2(f20_1(c29_0()), f19_3(c24_0(), c27_0(), f14_1(c28_0()))), c27_0()) ....... R2 [R1:L0, U24:L0] % Derivation of unit clause U1301: % p5_2(f16_1(f18_2(x0,x1)),x1) ....... B1 % ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B28 % ~p5_2(f16_1(f18_2(x0, x1)), x2) | p5_2(x1, x2) ....... R1 [B1:L0, B28:L1] % ~p5_2(x0,x1) | p5_2(f16_1(x0),f16_1(x1)) ....... B17 % p5_2(x0, f16_1(x1)) | ~p5_2(f18_2(x2, x0), x1) ....... R2 [R1:L0, B17:L1] % p5_2(f18_2(f20_1(c29_0()),f19_3(c24_0(),c27_0(),f14_1(c28_0()))),c27_0()) ....... U423 % p5_2(f19_3(c24_0(), c27_0(), f14_1(c28_0())), f16_1(c27_0())) ....... R3 [R2:L1, U423:L0] % Derivation of unit clause U4769: % p5_2(x0,x0) ....... B6 % ~p5_2(x1,x3) | ~p5_2(x0,x2) | p12_2(f13_2(x0,x1),f13_2(x2,x3)) ....... B22 % ~p5_2(x0, x1) | p12_2(f13_2(x0, x2), f13_2(x1, x2)) ....... R1 [B6:L0, B22:L0] % p5_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),f16_1(c27_0())) ....... U1301 % p12_2(f13_2(f19_3(c24_0(), c27_0(), f14_1(c28_0())), x0), f13_2(f16_1(c27_0()), x0)) ....... R2 [R1:L0, U1301:L0] % Derivation of unit clause U6769: % p10_2(x0,x0) ....... B2 % ~p10_2(x3,x1) | ~p12_2(x2,x0) | ~p23_2(x2,x3) | p23_2(x0,x1) ....... B34 % ~p12_2(x0, x1) | ~p23_2(x0, x2) | p23_2(x1, x2) ....... R1 [B2:L0, B34:L0] % p12_2(f13_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),x0),f13_2(f16_1(c27_0()),x0)) ....... U4769 % ~p23_2(f13_2(f19_3(c24_0(), c27_0(), f14_1(c28_0())), x0), x1) | p23_2(f13_2(f16_1(c27_0()), x0), x1) ....... R2 [R1:L0, U4769:L0] % p23_2(f13_2(f19_3(c24_0(),c27_0(),f14_1(c28_0())),f14_1(c28_0())),f11_1(c24_0())) ....... U25 % p23_2(f13_2(f16_1(c27_0()), f14_1(c28_0())), f11_1(c24_0())) ....... R3 [R2:L0, U25:L0] % Derivation of the empty clause: % p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0())) ....... U6769 % ~p23_2(f13_2(f16_1(c27_0()),f14_1(c28_0())),f11_1(c24_0())) ....... U10 % [] ....... R1 [U6769:L0, U10:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 46640027 % resolvents: 46639544 factors: 483 % Number of unit clauses generated: 46268887 % % unit clauses generated to total clauses generated: 99.20 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 13 [1] = 278 [2] = 2260 [3] = 4219 % Total = 6770 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 46268887 [2] = 370435 [3] = 705 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p10_2 (+)5 (-)0 % [1] p12_2 (+)1345 (-)0 % [2] p21_2 (+)1 (-)0 % [3] p22_2 (+)1 (-)0 % [4] p23_2 (+)22 (-)25 % [5] p2_2 (+)1 (-)0 % [6] p3_2 (+)2 (-)0 % [7] p5_2 (+)5293 (-)0 % [8] p6_2 (+)1 (-)0 % [9] p7_2 (+)69 (-)0 % [10] p9_2 (+)5 (-)0 % ------------------ % Total: (+)6745 (-)25 % Total number of unit clauses retained: 6770 % Number of clauses skipped because of their length: 757775 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 46640039 % Number of unification failures: 219132 % Number of unit to unit unification failures: 525 % N literal unification failure due to lookup root_id table: 1199549 % N base clause resolution failure due to lookup table: 349482 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 9 % N unit clauses dropped because they exceeded max values: 46171559 % N unit clauses dropped because too much nesting: 37950770 % 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: 12 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 25215 % Total number of terms of all unit clauses in table: 71055 % Max allowed number of states in UCFA: 112000 % Ratio n states used/total allowed states: 0.23 % Ratio n states used/total unit clauses terms: 0.35 % Number of symbols (columns) in UCFA: 62 % Profile 2: Number of calls to: % ============================== % PTUnify() = 46859171 % ConstructUnitClause() = 46178316 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 54.31 secs % -------------------------------------------------------- % | | % Inferences per sec: 382295 % | | % -------------------------------------------------------- % Elapsed time: 125 secs % CPU time: 122.75 secs % %------------------------------------------------------------------------------