%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : SYN310-1 : TPTP v5.0.0. Released v1.2.0. % 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 08:50:52 EST 2010 % Result : Unsatisfiable 0.20s % Output : Refutation 0.20s % 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/SystemOnTPTP29465/SYN/SYN310-1+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 = 375] [nf = 0] [nu = 355] [ut = 268] % Looking for a proof at depth = 2 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~p_3(a_0(),b_0(),c_0()) % B1: ~p_3(x0,x1,x2) | p_3(x1,x0,x2) % B2: ~p_3(x0,x1,x2) | p_3(x2,x1,x0) % B3: ~p_3(x0,x1,g_1(x2)) | p_3(x0,x1,x2) % B4: ~p_3(f_1(x0),x1,x2) | p_3(x0,x1,x2) % Unit Clauses: % -------------- % U1: < d0 v0 dv0 f6 c3 t9 td3 b nc > p_3(f_1(g_1(a_0())),f_1(g_1(b_0())),f_1(g_1(c_0()))) % U4: < d1 v0 dv0 f1 c3 t4 td2 > ~p_3(a_0(),b_0(),g_1(c_0())) % U8: < d1 v0 dv0 f1 c3 t4 td2 > ~p_3(b_0(),a_0(),g_1(c_0())) % U16: < d1 v0 dv0 f1 c3 t4 td2 > ~p_3(g_1(c_0()),a_0(),b_0()) % U28: < d1 v0 dv0 f2 c3 t5 td2 > ~p_3(g_1(c_0()),a_0(),g_1(b_0())) % U63: < d1 v0 dv0 f5 c3 t8 td3 > p_3(g_1(a_0()),f_1(g_1(b_0())),f_1(g_1(c_0()))) % U88: < d1 v0 dv0 f3 c3 t6 td3 > ~p_3(f_1(g_1(c_0())),a_0(),g_1(b_0())) % U270: < d2 v0 dv0 f5 c3 t8 td3 > p_3(f_1(g_1(c_0())),g_1(a_0()),f_1(g_1(b_0()))) % U274: < d2 v0 dv0 f5 c3 t8 td3 > p_3(f_1(g_1(b_0())),f_1(g_1(c_0())),g_1(a_0())) % U346: < d2 v0 dv0 f3 c3 t6 td3 > ~p_3(a_0(),g_1(b_0()),f_1(g_1(c_0()))) % U591: < d2 v0 dv0 f3 c3 t6 td3 > ~p_3(g_1(b_0()),f_1(g_1(c_0())),a_0()) % U771: < d2 v0 dv0 f4 c3 t7 td3 > p_3(f_1(g_1(c_0())),f_1(g_1(b_0())),a_0()) % U2156: < d2 v0 dv0 f3 c3 t6 td3 > p_3(g_1(b_0()),f_1(g_1(c_0())),a_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % p_3(f_1(g_1(a_0())),f_1(g_1(b_0())),f_1(g_1(c_0()))) ....... U1 % Derivation of unit clause U4: % ~p_3(a_0(),b_0(),c_0()) ....... B0 % ~p_3(x0,x1,g_1(x2)) | p_3(x0,x1,x2) ....... B3 % ~p_3(a_0(), b_0(), g_1(c_0())) ....... R1 [B0:L0, B3:L1] % Derivation of unit clause U8: % ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1 % ~p_3(a_0(),b_0(),g_1(c_0())) ....... U4 % ~p_3(b_0(), a_0(), g_1(c_0())) ....... R1 [B1:L1, U4:L0] % Derivation of unit clause U16: % ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2 % ~p_3(b_0(),a_0(),g_1(c_0())) ....... U8 % ~p_3(g_1(c_0()), a_0(), b_0()) ....... R1 [B2:L1, U8:L0] % Derivation of unit clause U28: % ~p_3(x0,x1,g_1(x2)) | p_3(x0,x1,x2) ....... B3 % ~p_3(g_1(c_0()),a_0(),b_0()) ....... U16 % ~p_3(g_1(c_0()), a_0(), g_1(b_0())) ....... R1 [B3:L1, U16:L0] % Derivation of unit clause U63: % ~p_3(f_1(x0),x1,x2) | p_3(x0,x1,x2) ....... B4 % p_3(f_1(g_1(a_0())),f_1(g_1(b_0())),f_1(g_1(c_0()))) ....... U1 % p_3(g_1(a_0()), f_1(g_1(b_0())), f_1(g_1(c_0()))) ....... R1 [B4:L0, U1:L0] % Derivation of unit clause U88: % ~p_3(f_1(x0),x1,x2) | p_3(x0,x1,x2) ....... B4 % ~p_3(g_1(c_0()),a_0(),g_1(b_0())) ....... U28 % ~p_3(f_1(g_1(c_0())), a_0(), g_1(b_0())) ....... R1 [B4:L1, U28:L0] % Derivation of unit clause U270: % ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1 % ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2 % ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B1:L1, B2:L0] % p_3(g_1(a_0()),f_1(g_1(b_0())),f_1(g_1(c_0()))) ....... U63 % p_3(f_1(g_1(c_0())), g_1(a_0()), f_1(g_1(b_0()))) ....... R2 [R1:L0, U63:L0] % Derivation of unit clause U274: % ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1 % ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2 % ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B1:L1, B2:L0] % p_3(f_1(g_1(c_0())),g_1(a_0()),f_1(g_1(b_0()))) ....... U270 % p_3(f_1(g_1(b_0())), f_1(g_1(c_0())), g_1(a_0())) ....... R2 [R1:L0, U270:L0] % Derivation of unit clause U346: % ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1 % ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2 % ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B1:L1, B2:L0] % ~p_3(f_1(g_1(c_0())),a_0(),g_1(b_0())) ....... U88 % ~p_3(a_0(), g_1(b_0()), f_1(g_1(c_0()))) ....... R2 [R1:L1, U88:L0] % Derivation of unit clause U591: % ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1 % ~p_3(x0,x1,x2) | p_3(x2,x1,x0) ....... B2 % ~p_3(x0, x1, x2) | p_3(x2, x0, x1) ....... R1 [B1:L1, B2:L0] % ~p_3(a_0(),g_1(b_0()),f_1(g_1(c_0()))) ....... U346 % ~p_3(g_1(b_0()), f_1(g_1(c_0())), a_0()) ....... R2 [R1:L1, U346:L0] % Derivation of unit clause U771: % ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1 % ~p_3(x0,x1,g_1(x2)) | p_3(x0,x1,x2) ....... B3 % ~p_3(x0, x1, g_1(x2)) | p_3(x1, x0, x2) ....... R1 [B1:L1, B3:L0] % p_3(f_1(g_1(b_0())),f_1(g_1(c_0())),g_1(a_0())) ....... U274 % p_3(f_1(g_1(c_0())), f_1(g_1(b_0())), a_0()) ....... R2 [R1:L0, U274:L0] % Derivation of unit clause U2156: % ~p_3(x0,x1,x2) | p_3(x1,x0,x2) ....... B1 % ~p_3(f_1(x0),x1,x2) | p_3(x0,x1,x2) ....... B4 % ~p_3(x0, f_1(x1), x2) | p_3(x1, x0, x2) ....... R1 [B1:L1, B4:L0] % p_3(f_1(g_1(c_0())),f_1(g_1(b_0())),a_0()) ....... U771 % p_3(g_1(b_0()), f_1(g_1(c_0())), a_0()) ....... R2 [R1:L0, U771:L0] % Derivation of the empty clause: % p_3(g_1(b_0()),f_1(g_1(c_0())),a_0()) ....... U2156 % ~p_3(g_1(b_0()),f_1(g_1(c_0())),a_0()) ....... U591 % [] ....... R1 [U2156:L0, U591:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 7051 % resolvents: 7051 factors: 0 % Number of unit clauses generated: 6976 % % unit clauses generated to total clauses generated: 98.94 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 2 [1] = 266 [2] = 1889 % Total = 2157 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 6976 [2] = 75 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] p_3 (+)33 (-)2124 % ------------------ % Total: (+)33 (-)2124 % Total number of unit clauses retained: 2157 % Number of clauses skipped because of their length: 0 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 7069 % Number of unification failures: 46 % Number of unit to unit unification failures: 68541 % N literal unification failure due to lookup root_id table: 85 % N base clause resolution failure due to lookup table: 0 % 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: 4549 % N unit clauses dropped because too much nesting: 1150 % 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: 15 % Max term depth in a unit clause: 5 % Number of states in UCFA table: 3042 % Total number of terms of all unit clauses in table: 18874 % Max allowed number of states in UCFA: 136000 % Ratio n states used/total allowed states: 0.02 % Ratio n states used/total unit clauses terms: 0.16 % Number of symbols (columns) in UCFA: 40 % Profile 2: Number of calls to: % ============================== % PTUnify() = 7115 % ConstructUnitClause() = 6704 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.00 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 0 secs % CPU time: 0.20 secs % %------------------------------------------------------------------------------