%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN624-1 : TPTP v5.0.0. Released v2.5.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art11.cs.miami.edu % Model : i686 i686 % CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz % Memory : 2006MB % OS : Linux 2.6.31.5-127.fc12.i686.PAE % CPULimit : 300s % DateTime : Sun Nov 28 10:54:41 EST 2010 % Result : Unsatisfiable 1.51s % Output : Refutation 1.51s % 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/SystemOnTPTP3163/SYN/SYN624-1+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 = 1896] [nf = 0] [nu = 1839] [ut = 1410] % Looking for a proof at depth = 2 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: p10_2(x0,x0) % B6: p10_2(f16_2(x0,f14_1(f15_1(f7_1(c25_0())))),x0) % B12: ~p10_2(f13_2(f6_1(c24_0()),c26_0()),f13_2(f6_1(c22_0()),f14_1(f15_1(f7_1(c25_0()))))) % B23: ~p10_2(x1,x3) | ~p5_2(x0,x2) | p10_2(f13_2(x0,x1),f13_2(x2,x3)) % B25: ~p10_2(x2,x1) | ~p10_2(x2,x0) | p10_2(x0,x1) % Unit Clauses: % -------------- % U4: < d0 v2 dv1 f5 c3 t10 td3 b nc > p10_2(f13_2(f6_1(c22_0()),x0),f13_2(f6_1(c24_0()),f16_2(c26_0(),x0))) % U13: < d0 v2 dv1 f0 c0 t2 td1 b nc > p5_2(x0,x0) % U1671: < d2 v2 dv1 f5 c3 t10 td3 > p10_2(f13_2(f6_1(c24_0()),f16_2(c26_0(),x0)),f13_2(f6_1(c22_0()),x0)) % U23677: < d2 v4 dv2 f6 c1 t11 td6 > p10_2(f13_2(x0,f16_2(x1,f14_1(f15_1(f7_1(c25_0()))))),f13_2(x0,x1)) % U24110: < d2 v0 dv0 f8 c5 t13 td6 > ~p10_2(f13_2(f6_1(c24_0()),f16_2(c26_0(),f14_1(f15_1(f7_1(c25_0()))))),f13_2(f6_1(c24_0()),c26_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U4: % p10_2(f13_2(f6_1(c22_0()),x0),f13_2(f6_1(c24_0()),f16_2(c26_0(),x0))) ....... U4 % Derivation of unit clause U13: % p5_2(x0,x0) ....... U13 % Derivation of unit clause U1671: % p10_2(x0,x0) ....... B0 % ~p10_2(x2,x1) | ~p10_2(x2,x0) | p10_2(x0,x1) ....... B25 % ~p10_2(x0, x1) | p10_2(x1, x0) ....... R1 [B0:L0, B25:L0] % p10_2(f13_2(f6_1(c22_0()),x0),f13_2(f6_1(c24_0()),f16_2(c26_0(),x0))) ....... U4 % p10_2(f13_2(f6_1(c24_0()), f16_2(c26_0(), x0)), f13_2(f6_1(c22_0()), x0)) ....... R2 [R1:L0, U4:L0] % Derivation of unit clause U23677: % p10_2(f16_2(x0,f14_1(f15_1(f7_1(c25_0())))),x0) ....... B6 % ~p10_2(x1,x3) | ~p5_2(x0,x2) | p10_2(f13_2(x0,x1),f13_2(x2,x3)) ....... B23 % ~p5_2(x0, x1) | p10_2(f13_2(x0, f16_2(x2, f14_1(f15_1(f7_1(c25_0()))))), f13_2(x1, x2)) ....... R1 [B6:L0, B23:L0] % p5_2(x0,x0) ....... U13 % p10_2(f13_2(x0, f16_2(x1, f14_1(f15_1(f7_1(c25_0()))))), f13_2(x0, x1)) ....... R2 [R1:L0, U13:L0] % Derivation of unit clause U24110: % ~p10_2(f13_2(f6_1(c24_0()),c26_0()),f13_2(f6_1(c22_0()),f14_1(f15_1(f7_1(c25_0()))))) ....... B12 % ~p10_2(x2,x1) | ~p10_2(x2,x0) | p10_2(x0,x1) ....... B25 % ~p10_2(x0, f13_2(f6_1(c22_0()), f14_1(f15_1(f7_1(c25_0()))))) | ~p10_2(x0, f13_2(f6_1(c24_0()), c26_0())) ....... R1 [B12:L0, B25:L2] % p10_2(f13_2(f6_1(c24_0()),f16_2(c26_0(),x0)),f13_2(f6_1(c22_0()),x0)) ....... U1671 % ~p10_2(f13_2(f6_1(c24_0()), f16_2(c26_0(), f14_1(f15_1(f7_1(c25_0()))))), f13_2(f6_1(c24_0()), c26_0())) ....... R2 [R1:L0, U1671:L0] % Derivation of the empty clause: % ~p10_2(f13_2(f6_1(c24_0()),f16_2(c26_0(),f14_1(f15_1(f7_1(c25_0()))))),f13_2(f6_1(c24_0()),c26_0())) ....... U24110 % p10_2(f13_2(x0,f16_2(x1,f14_1(f15_1(f7_1(c25_0()))))),f13_2(x0,x1)) ....... U23677 % [] ....... R1 [U24110:L0, U23677:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 49509 % resolvents: 49507 factors: 2 % Number of unit clauses generated: 49330 % % unit clauses generated to total clauses generated: 99.64 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 14 [1] = 1396 [2] = 22701 % Total = 24111 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 49330 [2] = 163 [3] = 16 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p18_1 (+)0 (-)2 % [1] p10_2 (+)22142 (-)68 % [2] p11_2 (+)20 (-)0 % [3] p19_2 (+)1 (-)0 % [4] p20_2 (+)1 (-)0 % [5] p21_2 (+)0 (-)0 % [6] p2_2 (+)1 (-)0 % [7] p3_2 (+)1874 (-)0 % [8] p5_2 (+)2 (-)0 % ------------------ % Total: (+)24041 (-)70 % Total number of unit clauses retained: 24111 % Number of clauses skipped because of their length: 414 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 49515 % Number of unification failures: 131622 % Number of unit to unit unification failures: 1505287 % N literal unification failure due to lookup root_id table: 441 % N base clause resolution failure due to lookup table: 594 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 6 % N unit clauses dropped because they exceeded max values: 25219 % N unit clauses dropped because too much nesting: 9080 % 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: 58 % Max term depth in a unit clause: 11 % Number of states in UCFA table: 524346 % Total number of terms of all unit clauses in table: 890615 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.99 % Ratio n states used/total unit clauses terms: 0.59 % Number of symbols (columns) in UCFA: 59 % Profile 2: Number of calls to: % ============================== % PTUnify() = 181137 % ConstructUnitClause() = 49316 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.21 secs % -------------------------------------------------------- % | | % Inferences per sec: 49509 % | | % -------------------------------------------------------- % Elapsed time: 2 secs % CPU time: 1.49 secs % %------------------------------------------------------------------------------