%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN618-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art05.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 10:49:53 EST 2010 % Result : Unsatisfiable 0.17s % Output : Refutation 0.17s % 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/SystemOnTPTP7312/SYN/SYN618-1+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 = 53] [nf = 0] [nu = 23] [ut = 31] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 874] [nf = 16] [nu = 477] [ut = 95] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p10_2(x0,x0) % B3: p5_2(x0,x0) % B7: p13_2(c19_0(),c23_0()) % B12: ~p5_2(f8_2(f3_1(c16_0()),c20_0()),f6_1(f7_1(c22_0()))) % B13: p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0()))) % B15: p2_2(x0,x0) % B19: ~p2_2(x0,x2) | ~p5_2(x1,x3) | p5_2(f8_2(x0,x1),f8_2(x2,x3)) % B24: ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) % B31: ~p13_2(c19_0(),x0) | ~p13_2(x0,c21_0()) | ~p5_2(f8_2(c17_0(),x0),f6_1(f7_1(c22_0()))) | p5_2(x0,c20_0()) % Unit Clauses: % -------------- % U9: < d0 v0 dv0 f0 c2 t2 td1 b nc > p13_2(c23_0(),c21_0()) % U13: < d0 v0 dv0 f4 c3 t7 td3 b nc > p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0()))) % U14: < d0 v0 dv0 f1 c2 t3 td2 b nc > p2_2(c17_0(),f3_1(c16_0())) % U31: < d2 v2 dv1 f3 c2 t7 td3 > p5_2(f8_2(c17_0(),x0),f8_2(f3_1(c16_0()),x0)) % U39: < d2 v2 dv1 f3 c2 t7 td3 > p5_2(f8_2(f3_1(c16_0()),x0),f8_2(c17_0(),x0)) % U47: < d2 v0 dv0 f4 c4 t8 td3 > ~p5_2(f8_2(f3_1(c16_0()),c23_0()),f8_2(f3_1(c16_0()),c20_0())) % U50: < d2 v0 dv0 f3 c3 t6 td3 > p5_2(f8_2(c17_0(),c23_0()),f6_1(f7_1(c22_0()))) % U72: < d2 v0 dv0 f0 c2 t2 td1 > ~p5_2(c23_0(),c20_0()) % U97: < d3 v0 dv0 f0 c2 t2 td1 > p5_2(c23_0(),c20_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U9: % p13_2(c23_0(),c21_0()) ....... U9 % Derivation of unit clause U13: % p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0()))) ....... U13 % Derivation of unit clause U14: % p2_2(c17_0(),f3_1(c16_0())) ....... U14 % Derivation of unit clause U31: % p5_2(x0,x0) ....... B3 % ~p2_2(x0,x2) | ~p5_2(x1,x3) | p5_2(f8_2(x0,x1),f8_2(x2,x3)) ....... B19 % ~p2_2(x0, x1) | p5_2(f8_2(x0, x2), f8_2(x1, x2)) ....... R1 [B3:L0, B19:L1] % p2_2(c17_0(),f3_1(c16_0())) ....... U14 % p5_2(f8_2(c17_0(), x0), f8_2(f3_1(c16_0()), x0)) ....... R2 [R1:L0, U14:L0] % Derivation of unit clause U39: % p5_2(x0,x0) ....... B3 % ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B24 % ~p5_2(x0, x1) | p5_2(x1, x0) ....... R1 [B3:L0, B24:L0] % p5_2(f8_2(c17_0(),x0),f8_2(f3_1(c16_0()),x0)) ....... U31 % p5_2(f8_2(f3_1(c16_0()), x0), f8_2(c17_0(), x0)) ....... R2 [R1:L0, U31:L0] % Derivation of unit clause U47: % ~p5_2(f8_2(f3_1(c16_0()),c20_0()),f6_1(f7_1(c22_0()))) ....... B12 % ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B24 % ~p5_2(x0, f6_1(f7_1(c22_0()))) | ~p5_2(x0, f8_2(f3_1(c16_0()), c20_0())) ....... R1 [B12:L0, B24:L2] % p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0()))) ....... U13 % ~p5_2(f8_2(f3_1(c16_0()), c23_0()), f8_2(f3_1(c16_0()), c20_0())) ....... R2 [R1:L0, U13:L0] % Derivation of unit clause U50: % p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0()))) ....... B13 % ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B24 % ~p5_2(f8_2(f3_1(c16_0()), c23_0()), x0) | p5_2(x0, f6_1(f7_1(c22_0()))) ....... R1 [B13:L0, B24:L0] % p5_2(f8_2(f3_1(c16_0()),x0),f8_2(c17_0(),x0)) ....... U39 % p5_2(f8_2(c17_0(), c23_0()), f6_1(f7_1(c22_0()))) ....... R2 [R1:L0, U39:L0] % Derivation of unit clause U72: % p2_2(x0,x0) ....... B15 % ~p2_2(x0,x2) | ~p5_2(x1,x3) | p5_2(f8_2(x0,x1),f8_2(x2,x3)) ....... B19 % ~p5_2(x0, x1) | p5_2(f8_2(x2, x0), f8_2(x2, x1)) ....... R1 [B15:L0, B19:L0] % ~p5_2(f8_2(f3_1(c16_0()),c23_0()),f8_2(f3_1(c16_0()),c20_0())) ....... U47 % ~p5_2(c23_0(), c20_0()) ....... R2 [R1:L1, U47:L0] % Derivation of unit clause U97: % p13_2(c19_0(),c23_0()) ....... B7 % ~p13_2(c19_0(),x0) | ~p13_2(x0,c21_0()) | ~p5_2(f8_2(c17_0(),x0),f6_1(f7_1(c22_0()))) | p5_2(x0,c20_0()) ....... B31 % ~p13_2(c23_0(), c21_0()) | ~p5_2(f8_2(c17_0(), c23_0()), f6_1(f7_1(c22_0()))) | p5_2(c23_0(), c20_0()) ....... R1 [B7:L0, B31:L0] % p13_2(c23_0(),c21_0()) ....... U9 % ~p5_2(f8_2(c17_0(), c23_0()), f6_1(f7_1(c22_0()))) | p5_2(c23_0(), c20_0()) ....... R2 [R1:L0, U9:L0] % p5_2(f8_2(c17_0(),c23_0()),f6_1(f7_1(c22_0()))) ....... U50 % p5_2(c23_0(), c20_0()) ....... R3 [R2:L0, U50:L0] % Derivation of the empty clause: % p5_2(c23_0(),c20_0()) ....... U97 % ~p5_2(c23_0(),c20_0()) ....... U72 % [] ....... R1 [U97:L0, U72:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 1500 % resolvents: 1446 factors: 54 % Number of unit clauses generated: 728 % % unit clauses generated to total clauses generated: 48.53 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 16 [1] = 15 [2] = 64 [3] = 3 % Total = 98 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 728 [2] = 678 [3] = 94 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p9_1 (+)1 (-)0 % [1] p10_2 (+)1 (-)0 % [2] p12_2 (+)2 (-)0 % [3] p13_2 (+)3 (-)0 % [4] p14_2 (+)1 (-)0 % [5] p15_2 (+)0 (-)1 % [6] p2_2 (+)21 (-)0 % [7] p4_2 (+)5 (-)0 % [8] p5_2 (+)54 (-)8 % [9] p11_3 (+)1 (-)0 % ------------------ % Total: (+)89 (-)9 % Total number of unit clauses retained: 98 % Number of clauses skipped because of their length: 2180 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 1513 % Number of unification failures: 2058 % Number of unit to unit unification failures: 430 % N literal unification failure due to lookup root_id table: 1509 % N base clause resolution failure due to lookup table: 1166 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 7 % N unit clauses dropped because they exceeded max values: 459 % N unit clauses dropped because too much nesting: 49 % 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: 11 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 336 % Total number of terms of all unit clauses in table: 690 % Max allowed number of states in UCFA: 104000 % Ratio n states used/total allowed states: 0.00 % Ratio n states used/total unit clauses terms: 0.49 % Number of symbols (columns) in UCFA: 57 % Profile 2: Number of calls to: % ============================== % PTUnify() = 3571 % ConstructUnitClause() = 541 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.17 secs % %------------------------------------------------------------------------------