%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : RNG039-2 : TPTP v5.0.0. Released v1.0.0. % Transfm : add_equality % Format : carine % Command : carine %s t=%d xo=off uct=32000 % Computer : art01.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 04:32:31 EST 2010 % Result : Unsatisfiable 1.71s % Output : Refutation 1.71s % 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/SystemOnTPTP11860/RNG/RNG039-2+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 = 470] [nf = 0] [nu = 152] [ut = 74] % Looking for a proof at depth = 2 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: product_3(a_0(),b_0(),c_0()) % B2: ~equalish_2(c_0(),d_0()) % B3: product_3(x0,x1,multiply_2(x0,x1)) % B4: sum_3(x0,x1,add_2(x0,x1)) % B5: sum_3(x0,x1,add_2(x1,x0)) % B10: product_3(a_0(),multiply_2(b_0(),x0),multiply_2(x1,x0)) % B11: product_3(x0,x0,x0) % B13: product_3(additive_identity_0(),x0,additive_identity_0()) % B46: equalish_2(multiply_2(x0,x0),x0) % B55: ~equalish_2(x0,x1) | ~product_3(x0,x2,x3) | product_3(x1,x2,x3) % B57: ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) % B58: ~equalish_2(x0,x1) | ~sum_3(x0,x2,x3) | sum_3(x1,x2,x3) % B60: ~equalish_2(x0,x1) | ~sum_3(x2,x3,x0) | sum_3(x2,x3,x1) % B61: ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) % B63: ~sum_3(x0,x3,x2) | ~sum_3(x0,x1,x2) | equalish_2(x3,x1) % Unit Clauses: % -------------- % U13: < d0 v1 dv1 f0 c2 t3 td1 b > product_3(additive_identity_0(),x0,additive_identity_0()) % U14: < d0 v2 dv1 f0 c1 t3 td1 b > sum_3(x0,x0,additive_identity_0()) % U113: < d2 v0 dv0 f0 c3 t3 td1 > ~sum_3(c_0(),d_0(),additive_identity_0()) % U248: < d2 v1 dv1 f1 c2 t4 td2 > equalish_2(multiply_2(additive_identity_0(),x0),additive_identity_0()) % U348: < d2 v0 dv0 f1 c3 t4 td2 > ~equalish_2(add_2(c_0(),d_0()),additive_identity_0()) % U440: < d2 v2 dv1 f2 c3 t7 td2 > ~sum_3(x0,add_2(c_0(),d_0()),add_2(x0,additive_identity_0())) % U503: < d2 v0 dv0 f1 c3 t4 td2 > ~equalish_2(additive_identity_0(),add_2(c_0(),d_0())) % U2270: < d2 v1 dv1 f1 c3 t5 td2 > product_3(a_0(),multiply_2(b_0(),x0),additive_identity_0()) % U2316: < d2 v2 dv2 f1 c1 t4 td2 > equalish_2(additive_identity_0(),multiply_2(x0,x1)) % U2634: < d2 v0 dv0 f2 c5 t7 td2 > ~product_3(add_2(c_0(),d_0()),add_2(c_0(),d_0()),additive_identity_0()) % U2971: < d2 v3 dv3 f1 c1 t5 td2 > product_3(multiply_2(x0,x1),x2,additive_identity_0()) % U8882: < d2 v2 dv2 f0 c1 t3 td1 > product_3(x0,x1,additive_identity_0()) % --------------- Start of Proof --------------- % Derivation of unit clause U13: % product_3(additive_identity_0(),x0,additive_identity_0()) ....... U13 % Derivation of unit clause U14: % sum_3(x0,x0,additive_identity_0()) ....... U14 % Derivation of unit clause U113: % ~equalish_2(c_0(),d_0()) ....... B2 % ~sum_3(x0,x3,x2) | ~sum_3(x0,x1,x2) | equalish_2(x3,x1) ....... B63 % ~sum_3(x0, c_0(), x1) | ~sum_3(x0, d_0(), x1) ....... R1 [B2:L0, B63:L2] % sum_3(x0,x0,additive_identity_0()) ....... U14 % ~sum_3(c_0(), d_0(), additive_identity_0()) ....... R2 [R1:L0, U14:L0] % Derivation of unit clause U248: % product_3(x0,x1,multiply_2(x0,x1)) ....... B3 % ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) ....... B61 % ~product_3(x0, x1, x2) | equalish_2(multiply_2(x0, x1), x2) ....... R1 [B3:L0, B61:L1] % product_3(additive_identity_0(),x0,additive_identity_0()) ....... U13 % equalish_2(multiply_2(additive_identity_0(), x0), additive_identity_0()) ....... R2 [R1:L0, U13:L0] % Derivation of unit clause U348: % sum_3(x0,x1,add_2(x0,x1)) ....... B4 % ~equalish_2(x0,x1) | ~sum_3(x2,x3,x0) | sum_3(x2,x3,x1) ....... B60 % ~equalish_2(add_2(x0, x1), x2) | sum_3(x0, x1, x2) ....... R1 [B4:L0, B60:L1] % ~sum_3(c_0(),d_0(),additive_identity_0()) ....... U113 % ~equalish_2(add_2(c_0(), d_0()), additive_identity_0()) ....... R2 [R1:L1, U113:L0] % Derivation of unit clause U440: % sum_3(x0,x1,add_2(x0,x1)) ....... B4 % ~sum_3(x0,x3,x2) | ~sum_3(x0,x1,x2) | equalish_2(x3,x1) ....... B63 % ~sum_3(x0, x1, add_2(x0, x2)) | equalish_2(x1, x2) ....... R1 [B4:L0, B63:L1] % ~equalish_2(add_2(c_0(),d_0()),additive_identity_0()) ....... U348 % ~sum_3(x0, add_2(c_0(), d_0()), add_2(x0, additive_identity_0())) ....... R2 [R1:L1, U348:L0] % Derivation of unit clause U503: % sum_3(x0,x1,add_2(x1,x0)) ....... B5 % ~equalish_2(x0,x1) | ~sum_3(x0,x2,x3) | sum_3(x1,x2,x3) ....... B58 % ~equalish_2(x0, x1) | sum_3(x1, x2, add_2(x2, x0)) ....... R1 [B5:L0, B58:L1] % ~sum_3(x0,add_2(c_0(),d_0()),add_2(x0,additive_identity_0())) ....... U440 % ~equalish_2(additive_identity_0(), add_2(c_0(), d_0())) ....... R2 [R1:L1, U440:L0] % Derivation of unit clause U2270: % product_3(a_0(),multiply_2(b_0(),x0),multiply_2(x1,x0)) ....... B10 % ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) ....... B57 % ~equalish_2(multiply_2(x0, x1), x2) | product_3(a_0(), multiply_2(b_0(), x1), x2) ....... R1 [B10:L0, B57:L1] % equalish_2(multiply_2(additive_identity_0(),x0),additive_identity_0()) ....... U248 % product_3(a_0(), multiply_2(b_0(), x0), additive_identity_0()) ....... R2 [R1:L0, U248:L0] % Derivation of unit clause U2316: % product_3(a_0(),multiply_2(b_0(),x0),multiply_2(x1,x0)) ....... B10 % ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) ....... B61 % ~product_3(a_0(), multiply_2(b_0(), x0), x1) | equalish_2(x1, multiply_2(x2, x0)) ....... R1 [B10:L0, B61:L0] % product_3(a_0(),multiply_2(b_0(),x0),additive_identity_0()) ....... U2270 % equalish_2(additive_identity_0(), multiply_2(x0, x1)) ....... R2 [R1:L0, U2270:L0] % Derivation of unit clause U2634: % product_3(x0,x0,x0) ....... B11 % ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) ....... B61 % ~product_3(x0, x0, x1) | equalish_2(x1, x0) ....... R1 [B11:L0, B61:L0] % ~equalish_2(additive_identity_0(),add_2(c_0(),d_0())) ....... U503 % ~product_3(add_2(c_0(), d_0()), add_2(c_0(), d_0()), additive_identity_0()) ....... R2 [R1:L1, U503:L0] % Derivation of unit clause U2971: % product_3(additive_identity_0(),x0,additive_identity_0()) ....... B13 % ~equalish_2(x0,x1) | ~product_3(x0,x2,x3) | product_3(x1,x2,x3) ....... B55 % ~equalish_2(additive_identity_0(), x0) | product_3(x0, x1, additive_identity_0()) ....... R1 [B13:L0, B55:L1] % equalish_2(additive_identity_0(),multiply_2(x0,x1)) ....... U2316 % product_3(multiply_2(x0, x1), x2, additive_identity_0()) ....... R2 [R1:L0, U2316:L0] % Derivation of unit clause U8882: % equalish_2(multiply_2(x0,x0),x0) ....... B46 % ~equalish_2(x0,x1) | ~product_3(x0,x2,x3) | product_3(x1,x2,x3) ....... B55 % ~product_3(multiply_2(x0, x0), x1, x2) | product_3(x0, x1, x2) ....... R1 [B46:L0, B55:L0] % product_3(multiply_2(x0,x1),x2,additive_identity_0()) ....... U2971 % product_3(x0, x1, additive_identity_0()) ....... R2 [R1:L0, U2971:L0] % Derivation of the empty clause: % product_3(x0,x1,additive_identity_0()) ....... U8882 % ~product_3(add_2(c_0(),d_0()),add_2(c_0(),d_0()),additive_identity_0()) ....... U2634 % [] ....... R1 [U8882:L0, U2634:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 86830 % resolvents: 86580 factors: 250 % Number of unit clauses generated: 85000 % % unit clauses generated to total clauses generated: 97.89 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 50 [1] = 24 [2] = 8809 % Total = 8883 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 85000 [2] = 1572 [3] = 258 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] equalish_2 (+)2134 (-)753 % [1] product_3 (+)2428 (-)400 % [2] sum_3 (+)2028 (-)1140 % ------------------ % Total: (+)6590 (-)2293 % Total number of unit clauses retained: 8883 % Number of clauses skipped because of their length: 3417 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 86850 % Number of unification failures: 338535 % Number of unit to unit unification failures: 4889705 % N literal unification failure due to lookup root_id table: 4335 % N base clause resolution failure due to lookup table: 1347 % 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: 76148 % N unit clauses dropped because too much nesting: 1600 % 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: 8 % Max term depth in a unit clause: 4 % Number of states in UCFA table: 15273 % Total number of terms of all unit clauses in table: 59724 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.19 % Ratio n states used/total unit clauses terms: 0.26 % Number of symbols (columns) in UCFA: 44 % Profile 2: Number of calls to: % ============================== % PTUnify() = 425385 % ConstructUnitClause() = 84981 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.13 secs % -------------------------------------------------------- % | | % Inferences per sec: 86830 % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 1.70 secs % %------------------------------------------------------------------------------