%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN632-1 : 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 10:55:23 EST 2010 % Result : Unsatisfiable 0.49s % Output : Refutation 0.49s % 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/SystemOnTPTP7914/SYN/SYN632-1+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 = 61] [nf = 0] [nu = 9] [ut = 17] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 1296] [nf = 24] [nu = 620] [ut = 165] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B4: p2_2(x0,x0) % B5: p3_2(x0,x0) % B6: p4_2(x0,x0) % B10: p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),f12_2(c25_0(),c26_0()))),c22_0()),c23_0()),c27_0()) % B12: ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),x1)),x0),x2),x3) | p21_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),x1),x2),x0),x3)),x3) % B13: ~p3_2(x1,x2) | p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x0),x1),x2) % B14: ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x2),x0),x1) | p3_2(x0,x1) % B15: ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c22_0()),x0),c27_0()) | ~p21_2(f5_2(c22_0(),c23_0()),x0) % B22: ~p2_2(x0,x2) | ~p3_2(x1,x3) | p4_2(f5_2(x0,x1),f5_2(x2,x3)) % B32: ~p4_2(x2,x1) | ~p4_2(x2,x0) | p4_2(x0,x1) % B36: ~p21_2(x3,x2) | ~p3_2(x2,x1) | ~p4_2(x3,x0) | p21_2(x0,x1) % B37: ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),x0)),x1),x2),x3) | p21_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c29_0(),x0),x2),x1),x3)) % Unit Clauses: % -------------- % U12: < d1 v3 dv2 f4 c3 t10 td5 > p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x0),x1),x1) % U13: < d1 v0 dv0 f6 c8 t14 td7 > p21_2(f5_2(c22_0(),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())),c27_0()) % U14: < d1 v0 dv0 f9 c11 t20 td6 > p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c22_0()),c23_0()),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())) % U15: < d1 v0 dv0 f5 c7 t12 td6 > p3_2(c23_0(),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())) % U16: < d1 v0 dv0 f1 c3 t4 td2 > ~p21_2(f5_2(c22_0(),c23_0()),c27_0()) % U57: < d2 v2 dv1 f7 c7 t16 td7 > p4_2(f5_2(x0,c23_0()),f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0()))) % U93: < d2 v2 dv1 f7 c7 t16 td7 > p4_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())),f5_2(x0,c23_0())) % U339: < d3 v0 dv0 f1 c3 t4 td2 > p21_2(f5_2(c22_0(),c23_0()),c27_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U12: % p3_2(x0,x0) ....... B5 % ~p3_2(x1,x2) | p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x0),x1),x2) ....... B13 % p21_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), x0), x1), x1) ....... R1 [B5:L0, B13:L0] % Derivation of unit clause U13: % p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),f12_2(c25_0(),c26_0()))),c22_0()),c23_0()),c27_0()) ....... B10 % ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),x1)),x0),x2),x3) | p21_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),x1),x2),x0),x3)),x3) ....... B12 % p21_2(f5_2(c22_0(), f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())), c27_0()) ....... R1 [B10:L0, B12:L0] % Derivation of unit clause U14: % p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),f12_2(c25_0(),c26_0()))),c22_0()),c23_0()),c27_0()) ....... B10 % ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c28_0(),x0)),x1),x2),x3) | p21_2(f5_2(f7_2(f10_2(c24_0(),x0),x1),x2),f14_2(f16_2(f18_2(f20_2(c29_0(),x0),x2),x1),x3)) ....... B37 % p21_2(f5_2(f7_2(f10_2(c24_0(), f12_2(c25_0(), c26_0())), c22_0()), c23_0()), f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())) ....... R1 [B10:L0, B37:L0] % Derivation of unit clause U15: % ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x2),x0),x1) | p3_2(x0,x1) ....... B14 % p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c22_0()),c23_0()),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())) ....... U14 % p3_2(c23_0(), f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())) ....... R1 [B14:L0, U14:L0] % Derivation of unit clause U16: % ~p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),c22_0()),x0),c27_0()) | ~p21_2(f5_2(c22_0(),c23_0()),x0) ....... B15 % p21_2(f5_2(f7_2(f10_2(c24_0(),f12_2(c25_0(),c26_0())),x0),x1),x1) ....... U12 % ~p21_2(f5_2(c22_0(), c23_0()), c27_0()) ....... R1 [B15:L0, U12:L0] % Derivation of unit clause U57: % p2_2(x0,x0) ....... B4 % ~p2_2(x0,x2) | ~p3_2(x1,x3) | p4_2(f5_2(x0,x1),f5_2(x2,x3)) ....... B22 % ~p3_2(x0, x1) | p4_2(f5_2(x2, x0), f5_2(x2, x1)) ....... R1 [B4:L0, B22:L0] % p3_2(c23_0(),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())) ....... U15 % p4_2(f5_2(x0, c23_0()), f5_2(x0, f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0()))) ....... R2 [R1:L0, U15:L0] % Derivation of unit clause U93: % p4_2(x0,x0) ....... B6 % ~p4_2(x2,x1) | ~p4_2(x2,x0) | p4_2(x0,x1) ....... B32 % ~p4_2(x0, x1) | p4_2(x1, x0) ....... R1 [B6:L0, B32:L0] % p4_2(f5_2(x0,c23_0()),f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0()))) ....... U57 % p4_2(f5_2(x0, f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())), f5_2(x0, c23_0())) ....... R2 [R1:L0, U57:L0] % Derivation of unit clause U339: % p3_2(x0,x0) ....... B5 % ~p21_2(x3,x2) | ~p3_2(x2,x1) | ~p4_2(x3,x0) | p21_2(x0,x1) ....... B36 % ~p21_2(x0, x1) | ~p4_2(x0, x2) | p21_2(x2, x1) ....... R1 [B5:L0, B36:L1] % p21_2(f5_2(c22_0(),f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())),c27_0()) ....... U13 % ~p4_2(f5_2(c22_0(), f14_2(f16_2(f18_2(f20_2(c29_0(), f12_2(c25_0(), c26_0())), c23_0()), c22_0()), c27_0())), x0) | p21_2(x0, c27_0()) ....... R2 [R1:L0, U13:L0] % p4_2(f5_2(x0,f14_2(f16_2(f18_2(f20_2(c29_0(),f12_2(c25_0(),c26_0())),c23_0()),c22_0()),c27_0())),f5_2(x0,c23_0())) ....... U93 % p21_2(f5_2(c22_0(), c23_0()), c27_0()) ....... R3 [R2:L0, U93:L0] % Derivation of the empty clause: % p21_2(f5_2(c22_0(),c23_0()),c27_0()) ....... U339 % ~p21_2(f5_2(c22_0(),c23_0()),c27_0()) ....... U16 % [] ....... R1 [U339:L0, U16:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 2741 % resolvents: 2647 factors: 94 % Number of unit clauses generated: 1779 % % unit clauses generated to total clauses generated: 64.90 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 12 [1] = 5 [2] = 148 [3] = 175 % Total = 340 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 1779 [2] = 823 [3] = 139 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p11_2 (+)1 (-)0 % [1] p13_2 (+)18 (-)0 % [2] p15_2 (+)47 (-)0 % [3] p17_2 (+)2 (-)0 % [4] p19_2 (+)1 (-)0 % [5] p21_2 (+)102 (-)1 % [6] p2_2 (+)8 (-)0 % [7] p3_2 (+)98 (-)0 % [8] p4_2 (+)49 (-)2 % [9] p6_2 (+)2 (-)0 % [10] p8_2 (+)1 (-)0 % [11] p9_2 (+)8 (-)0 % ------------------ % Total: (+)337 (-)3 % Total number of unit clauses retained: 340 % Number of clauses skipped because of their length: 1930 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 2753 % Number of unification failures: 324 % Number of unit to unit unification failures: 199 % N literal unification failure due to lookup root_id table: 1036 % N base clause resolution failure due to lookup table: 1616 % 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: 851 % N unit clauses dropped because too much nesting: 37 % 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: 60 % Max term depth in a unit clause: 12 % Number of states in UCFA table: 4513 % Total number of terms of all unit clauses in table: 9372 % Max allowed number of states in UCFA: 528000 % Ratio n states used/total allowed states: 0.01 % Ratio n states used/total unit clauses terms: 0.48 % Number of symbols (columns) in UCFA: 62 % Profile 2: Number of calls to: % ============================== % PTUnify() = 3077 % ConstructUnitClause() = 1179 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.01 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.47 secs % %------------------------------------------------------------------------------