%------------------------------------------------------------------------------ % File : CARINE---0.734 % Problem : GRP048-2 : TPTP v5.0.0. Released v1.0.0. % 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 : Sat Nov 27 20:45:26 EST 2010 % Result : Unsatisfiable 0.50s % Output : Refutation 0.50s % 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/SystemOnTPTP4976/GRP/GRP048-2+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 = 11] [nf = 0] [nu = 0] [ut = 5] % Looking for a proof at depth = 2 ... % t = 0 secs [nr = 178] [nf = 28] [nu = 81] [ut = 37] % Looking for a proof at depth = 3 ... % +================================================+ % | | % | Congratulations!!! ........ A proof was found. | % | | % +================================================+ % Base Clauses and Unit Clauses used in proof: % ============================================ % Base Clauses: % ------------- % B0: ~equalish_2(inverse_1(a_0()),inverse_1(b_0())) % B1: product_3(x0,x1,multiply_2(x0,x1)) % B2: product_3(identity_0(),x0,x0) % B5: ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) % B6: ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) % B7: ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) % B8: ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) % Unit Clauses: % -------------- % U1: < d0 v4 dv2 f1 c0 t5 td2 b > product_3(x0,x1,multiply_2(x0,x1)) % U2: < d0 v2 dv1 f0 c1 t3 td1 b > product_3(identity_0(),x0,x0) % U3: < d0 v2 dv1 f1 c1 t4 td2 b > product_3(inverse_1(x0),x0,identity_0()) % U4: < d0 v0 dv0 f0 c2 t2 td1 b > equalish_2(a_0(),b_0()) % U5: < d2 v0 dv0 f2 c3 t5 td2 > ~product_3(identity_0(),inverse_1(b_0()),inverse_1(a_0())) % U7: < d2 v0 dv0 f3 c3 t6 td3 > ~equalish_2(multiply_2(identity_0(),inverse_1(b_0())),inverse_1(a_0())) % U11: < d2 v2 dv1 f2 c1 t5 td3 > equalish_2(identity_0(),multiply_2(inverse_1(x0),x0)) % U12: < d2 v2 dv1 f1 c1 t4 td2 > equalish_2(multiply_2(identity_0(),x0),x0) % U13: < d2 v2 dv1 f2 c1 t5 td3 > equalish_2(multiply_2(inverse_1(x0),x0),identity_0()) % U14: < d2 v0 dv0 f0 c3 t3 td1 > product_3(identity_0(),a_0(),b_0()) % U17: < d2 v2 dv1 f2 c2 t6 td3 > product_3(identity_0(),identity_0(),multiply_2(inverse_1(x0),x0)) % U18: < d2 v2 dv1 f1 c2 t5 td2 > product_3(identity_0(),multiply_2(identity_0(),x0),x0) % U19: < d2 v2 dv1 f2 c2 t6 td3 > product_3(identity_0(),multiply_2(inverse_1(x0),x0),identity_0()) % U23: < d2 v0 dv0 f3 c4 t7 td3 > ~product_3(identity_0(),inverse_1(a_0()),multiply_2(identity_0(),inverse_1(b_0()))) % U74: < d3 v2 dv1 f4 c2 t8 td3 > ~product_3(multiply_2(inverse_1(x0),x0),inverse_1(a_0()),inverse_1(b_0())) % U77: < d3 v2 dv1 f1 c2 t5 td2 > product_3(b_0(),x0,multiply_2(a_0(),x0)) % U86: < d3 v4 dv2 f2 c0 t6 td3 > product_3(multiply_2(inverse_1(x0),x0),x1,x1) % U96: < d3 v2 dv1 f2 c2 t6 td3 > product_3(multiply_2(identity_0(),inverse_1(x0)),x0,identity_0()) % U121: < d3 v2 dv1 f2 c2 t6 td3 > product_3(multiply_2(inverse_1(x0),identity_0()),x0,identity_0()) % U152: < d3 v0 dv0 f4 c3 t7 td4 > ~product_3(inverse_1(inverse_1(inverse_1(a_0()))),identity_0(),inverse_1(b_0())) % U220: < d3 v4 dv2 f3 c1 t8 td3 > product_3(multiply_2(inverse_1(x0),identity_0()),multiply_2(x0,x1),x1) % U468: < d3 v2 dv1 f2 c2 t6 td2 > product_3(inverse_1(b_0()),multiply_2(a_0(),x0),x0) % U534: < d3 v2 dv1 f3 c2 t7 td3 > product_3(inverse_1(inverse_1(b_0())),x0,multiply_2(a_0(),x0)) % U570: < d3 v0 dv0 f3 c3 t6 td3 > ~product_3(inverse_1(inverse_1(a_0())),inverse_1(b_0()),identity_0()) % U576: < d3 v0 dv0 f2 c3 t5 td2 > ~product_3(inverse_1(a_0()),identity_0(),inverse_1(b_0())) % U640: < d3 v0 dv0 f2 c4 t6 td3 > product_3(identity_0(),multiply_2(a_0(),inverse_1(b_0())),identity_0()) % U927: < d3 v0 dv0 f2 c3 t5 td2 > product_3(inverse_1(a_0()),identity_0(),inverse_1(b_0())) % --------------- Start of Proof --------------- % Derivation of unit clause U1: % product_3(x0,x1,multiply_2(x0,x1)) ....... U1 % Derivation of unit clause U2: % product_3(identity_0(),x0,x0) ....... U2 % Derivation of unit clause U3: % product_3(inverse_1(x0),x0,identity_0()) ....... U3 % Derivation of unit clause U4: % equalish_2(a_0(),b_0()) ....... U4 % Derivation of unit clause U5: % ~equalish_2(inverse_1(a_0()),inverse_1(b_0())) ....... B0 % ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) ....... B6 % ~product_3(x0, x1, inverse_1(b_0())) | ~product_3(x0, x1, inverse_1(a_0())) ....... R1 [B0:L0, B6:L2] % product_3(identity_0(),x0,x0) ....... U2 % ~product_3(identity_0(), inverse_1(b_0()), inverse_1(a_0())) ....... R2 [R1:L0, U2:L0] % Derivation of unit clause U7: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) ....... B5 % ~equalish_2(multiply_2(x0, x1), x2) | product_3(x0, x1, x2) ....... R1 [B1:L0, B5:L1] % ~product_3(identity_0(),inverse_1(b_0()),inverse_1(a_0())) ....... U5 % ~equalish_2(multiply_2(identity_0(), inverse_1(b_0())), inverse_1(a_0())) ....... R2 [R1:L1, U5:L0] % Derivation of unit clause U11: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) ....... B6 % ~product_3(x0, x1, x2) | equalish_2(x2, multiply_2(x0, x1)) ....... R1 [B1:L0, B6:L0] % product_3(inverse_1(x0),x0,identity_0()) ....... U3 % equalish_2(identity_0(), multiply_2(inverse_1(x0), x0)) ....... R2 [R1:L0, U3:L0] % Derivation of unit clause U12: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) ....... B6 % ~product_3(x0, x1, x2) | equalish_2(multiply_2(x0, x1), x2) ....... R1 [B1:L0, B6:L1] % product_3(identity_0(),x0,x0) ....... U2 % equalish_2(multiply_2(identity_0(), x0), x0) ....... R2 [R1:L0, U2:L0] % Derivation of unit clause U13: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) ....... B6 % ~product_3(x0, x1, x2) | equalish_2(multiply_2(x0, x1), x2) ....... R1 [B1:L0, B6:L1] % product_3(inverse_1(x0),x0,identity_0()) ....... U3 % equalish_2(multiply_2(inverse_1(x0), x0), identity_0()) ....... R2 [R1:L0, U3:L0] % Derivation of unit clause U14: % product_3(identity_0(),x0,x0) ....... B2 % ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) ....... B5 % ~equalish_2(x0, x1) | product_3(identity_0(), x0, x1) ....... R1 [B2:L0, B5:L1] % equalish_2(a_0(),b_0()) ....... U4 % product_3(identity_0(), a_0(), b_0()) ....... R2 [R1:L0, U4:L0] % Derivation of unit clause U17: % product_3(identity_0(),x0,x0) ....... B2 % ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) ....... B5 % ~equalish_2(x0, x1) | product_3(identity_0(), x0, x1) ....... R1 [B2:L0, B5:L1] % equalish_2(identity_0(),multiply_2(inverse_1(x0),x0)) ....... U11 % product_3(identity_0(), identity_0(), multiply_2(inverse_1(x0), x0)) ....... R2 [R1:L0, U11:L0] % Derivation of unit clause U18: % product_3(identity_0(),x0,x0) ....... B2 % ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) ....... B5 % ~equalish_2(x0, x1) | product_3(identity_0(), x0, x1) ....... R1 [B2:L0, B5:L1] % equalish_2(multiply_2(identity_0(),x0),x0) ....... U12 % product_3(identity_0(), multiply_2(identity_0(), x0), x0) ....... R2 [R1:L0, U12:L0] % Derivation of unit clause U19: % product_3(identity_0(),x0,x0) ....... B2 % ~equalish_2(x0,x1) | ~product_3(x2,x3,x0) | product_3(x2,x3,x1) ....... B5 % ~equalish_2(x0, x1) | product_3(identity_0(), x0, x1) ....... R1 [B2:L0, B5:L1] % equalish_2(multiply_2(inverse_1(x0),x0),identity_0()) ....... U13 % product_3(identity_0(), multiply_2(inverse_1(x0), x0), identity_0()) ....... R2 [R1:L0, U13:L0] % Derivation of unit clause U23: % product_3(identity_0(),x0,x0) ....... B2 % ~product_3(x0,x1,x3) | ~product_3(x0,x1,x2) | equalish_2(x2,x3) ....... B6 % ~product_3(identity_0(), x0, x1) | equalish_2(x1, x0) ....... R1 [B2:L0, B6:L0] % ~equalish_2(multiply_2(identity_0(),inverse_1(b_0())),inverse_1(a_0())) ....... U7 % ~product_3(identity_0(), inverse_1(a_0()), multiply_2(identity_0(), inverse_1(b_0()))) ....... R2 [R1:L1, U7:L0] % Derivation of unit clause U74: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) ....... B7 % ~product_3(x0, x1, x2) | ~product_3(x3, x0, x4) | product_3(x4, x1, multiply_2(x3, x2)) ....... R1 [B1:L0, B7:L0] % product_3(identity_0(),multiply_2(inverse_1(x0),x0),identity_0()) ....... U19 % ~product_3(multiply_2(inverse_1(x0), x0), x1, x2) | product_3(identity_0(), x1, multiply_2(identity_0(), x2)) ....... R2 [R1:L1, U19:L0] % ~product_3(identity_0(),inverse_1(a_0()),multiply_2(identity_0(),inverse_1(b_0()))) ....... U23 % ~product_3(multiply_2(inverse_1(x0), x0), inverse_1(a_0()), inverse_1(b_0())) ....... R3 [R2:L1, U23:L0] % Derivation of unit clause U77: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) ....... B7 % ~product_3(x0, multiply_2(x1, x2), x3) | ~product_3(x0, x1, x4) | product_3(x4, x2, x3) ....... R1 [B1:L0, B7:L1] % product_3(identity_0(),x0,x0) ....... U2 % ~product_3(identity_0(), x0, x1) | product_3(x1, x2, multiply_2(x0, x2)) ....... R2 [R1:L0, U2:L0] % product_3(identity_0(),a_0(),b_0()) ....... U14 % product_3(b_0(), x0, multiply_2(a_0(), x0)) ....... R3 [R2:L0, U14:L0] % Derivation of unit clause U86: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) ....... B7 % ~product_3(x0, multiply_2(x1, x2), x3) | ~product_3(x0, x1, x4) | product_3(x4, x2, x3) ....... R1 [B1:L0, B7:L1] % product_3(identity_0(),multiply_2(identity_0(),x0),x0) ....... U18 % ~product_3(identity_0(), identity_0(), x0) | product_3(x0, x1, x1) ....... R2 [R1:L0, U18:L0] % product_3(identity_0(),identity_0(),multiply_2(inverse_1(x0),x0)) ....... U17 % product_3(multiply_2(inverse_1(x0), x0), x1, x1) ....... R3 [R2:L0, U17:L0] % Derivation of unit clause U96: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) ....... B7 % ~product_3(x0, multiply_2(x1, x2), x3) | ~product_3(x0, x1, x4) | product_3(x4, x2, x3) ....... R1 [B1:L0, B7:L1] % product_3(identity_0(),multiply_2(inverse_1(x0),x0),identity_0()) ....... U19 % ~product_3(identity_0(), inverse_1(x0), x1) | product_3(x1, x0, identity_0()) ....... R2 [R1:L0, U19:L0] % product_3(x0,x1,multiply_2(x0,x1)) ....... U1 % product_3(multiply_2(identity_0(), inverse_1(x0)), x0, identity_0()) ....... R3 [R2:L0, U1:L0] % Derivation of unit clause U121: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) ....... B7 % ~product_3(x0, x1, x2) | ~product_3(x3, x4, x1) | product_3(multiply_2(x0, x3), x4, x2) ....... R1 [B1:L0, B7:L2] % product_3(inverse_1(x0),x0,identity_0()) ....... U3 % ~product_3(x0, x1, x2) | product_3(multiply_2(inverse_1(x2), x0), x1, identity_0()) ....... R2 [R1:L0, U3:L0] % product_3(identity_0(),x0,x0) ....... U2 % product_3(multiply_2(inverse_1(x0), identity_0()), x0, identity_0()) ....... R3 [R2:L0, U2:L0] % Derivation of unit clause U152: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x0,x4,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x2,x3,x5) ....... B7 % ~product_3(x0, x1, x2) | ~product_3(x3, x4, x1) | product_3(multiply_2(x0, x3), x4, x2) ....... R1 [B1:L0, B7:L2] % product_3(inverse_1(x0),x0,identity_0()) ....... U3 % ~product_3(x0, identity_0(), x1) | product_3(multiply_2(x0, inverse_1(x2)), x2, x1) ....... R2 [R1:L1, U3:L0] % ~product_3(multiply_2(inverse_1(x0),x0),inverse_1(a_0()),inverse_1(b_0())) ....... U74 % ~product_3(inverse_1(inverse_1(inverse_1(a_0()))), identity_0(), inverse_1(b_0())) ....... R3 [R2:L1, U74:L0] % Derivation of unit clause U220: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) ....... B8 % ~product_3(x0, x1, x2) | ~product_3(x3, x4, x0) | product_3(x3, multiply_2(x4, x1), x2) ....... R1 [B1:L0, B8:L1] % product_3(identity_0(),x0,x0) ....... U2 % ~product_3(x0, x1, identity_0()) | product_3(x0, multiply_2(x1, x2), x2) ....... R2 [R1:L0, U2:L0] % product_3(multiply_2(inverse_1(x0),identity_0()),x0,identity_0()) ....... U121 % product_3(multiply_2(inverse_1(x0), identity_0()), multiply_2(x0, x1), x1) ....... R3 [R2:L0, U121:L0] % Derivation of unit clause U468: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) ....... B8 % ~product_3(multiply_2(x0, x1), x2, x3) | ~product_3(x1, x2, x4) | product_3(x0, x4, x3) ....... R1 [B1:L0, B8:L2] % product_3(multiply_2(inverse_1(x0),x0),x1,x1) ....... U86 % ~product_3(x0, x1, x2) | product_3(inverse_1(x0), x2, x1) ....... R2 [R1:L0, U86:L0] % product_3(b_0(),x0,multiply_2(a_0(),x0)) ....... U77 % product_3(inverse_1(b_0()), multiply_2(a_0(), x0), x0) ....... R3 [R2:L0, U77:L0] % Derivation of unit clause U534: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) ....... B8 % ~product_3(multiply_2(x0, x1), x2, x3) | ~product_3(x1, x2, x4) | product_3(x0, x4, x3) ....... R1 [B1:L0, B8:L2] % product_3(multiply_2(inverse_1(x0),x0),x1,x1) ....... U86 % ~product_3(x0, x1, x2) | product_3(inverse_1(x0), x2, x1) ....... R2 [R1:L0, U86:L0] % product_3(inverse_1(b_0()),multiply_2(a_0(),x0),x0) ....... U468 % product_3(inverse_1(inverse_1(b_0())), x0, multiply_2(a_0(), x0)) ....... R3 [R2:L0, U468:L0] % Derivation of unit clause U570: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) ....... B8 % ~product_3(multiply_2(x0, x1), x2, x3) | ~product_3(x1, x2, x4) | product_3(x0, x4, x3) ....... R1 [B1:L0, B8:L2] % product_3(multiply_2(inverse_1(x0),x0),x1,x1) ....... U86 % ~product_3(x0, x1, x2) | product_3(inverse_1(x0), x2, x1) ....... R2 [R1:L0, U86:L0] % ~product_3(inverse_1(inverse_1(inverse_1(a_0()))),identity_0(),inverse_1(b_0())) ....... U152 % ~product_3(inverse_1(inverse_1(a_0())), inverse_1(b_0()), identity_0()) ....... R3 [R2:L1, U152:L0] % Derivation of unit clause U576: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) ....... B8 % ~product_3(multiply_2(x0, x1), x2, x3) | ~product_3(x1, x2, x4) | product_3(x0, x4, x3) ....... R1 [B1:L0, B8:L2] % product_3(multiply_2(inverse_1(x0),x0),x1,x1) ....... U86 % ~product_3(x0, x1, x2) | product_3(inverse_1(x0), x2, x1) ....... R2 [R1:L0, U86:L0] % ~product_3(inverse_1(inverse_1(a_0())),inverse_1(b_0()),identity_0()) ....... U570 % ~product_3(inverse_1(a_0()), identity_0(), inverse_1(b_0())) ....... R3 [R2:L1, U570:L0] % Derivation of unit clause U640: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) ....... B8 % ~product_3(multiply_2(x0, x1), x2, x3) | ~product_3(x1, x2, x4) | product_3(x0, x4, x3) ....... R1 [B1:L0, B8:L2] % product_3(multiply_2(identity_0(),inverse_1(x0)),x0,identity_0()) ....... U96 % ~product_3(inverse_1(x0), x0, x1) | product_3(identity_0(), x1, identity_0()) ....... R2 [R1:L0, U96:L0] % product_3(inverse_1(inverse_1(b_0())),x0,multiply_2(a_0(),x0)) ....... U534 % product_3(identity_0(), multiply_2(a_0(), inverse_1(b_0())), identity_0()) ....... R3 [R2:L0, U534:L0] % Derivation of unit clause U927: % product_3(x0,x1,multiply_2(x0,x1)) ....... B1 % ~product_3(x2,x3,x5) | ~product_3(x1,x3,x4) | ~product_3(x0,x1,x2) | product_3(x0,x4,x5) ....... B8 % ~product_3(multiply_2(x0, x1), x2, x3) | ~product_3(x1, x2, x4) | product_3(x0, x4, x3) ....... R1 [B1:L0, B8:L2] % product_3(multiply_2(inverse_1(x0),identity_0()),multiply_2(x0,x1),x1) ....... U220 % ~product_3(identity_0(), multiply_2(x0, x1), x2) | product_3(inverse_1(x0), x2, x1) ....... R2 [R1:L0, U220:L0] % product_3(identity_0(),multiply_2(a_0(),inverse_1(b_0())),identity_0()) ....... U640 % product_3(inverse_1(a_0()), identity_0(), inverse_1(b_0())) ....... R3 [R2:L0, U640:L0] % Derivation of the empty clause: % product_3(inverse_1(a_0()),identity_0(),inverse_1(b_0())) ....... U927 % ~product_3(inverse_1(a_0()),identity_0(),inverse_1(b_0())) ....... U576 % [] ....... R1 [U927:L0, U576:L0] % --------------- End of Proof --------------- % PROOF FOUND! % --------------------------------------------- % | Statistics | % --------------------------------------------- % Profile 3: Performance Statistics: % ================================== % Total number of generated clauses: 110269 % resolvents: 110226 factors: 43 % Number of unit clauses generated: 108580 % % unit clauses generated to total clauses generated: 98.47 % Number of unit clauses constructed and retained at depth [x]: % ============================================================= % [0] = 5 [2] = 32 [3] = 891 % Total = 928 % Number of generated clauses having [x] literals: % ------------------------------------------------ % [1] = 108580 [2] = 1655 [3] = 34 % Average size of a generated clause: 2.0 % Number of unit clauses per predicate list: % ========================================== % [0] equalish_2 (+)15 (-)4 % [1] product_3 (+)851 (-)58 % ------------------ % Total: (+)866 (-)62 % Total number of unit clauses retained: 928 % Number of clauses skipped because of their length: 3136 % N base clauses skippped in resolve-with-all-base-clauses % because of the shortest resolvents table: 0 % Number of successful unifications: 110328 % Number of unification failures: 257114 % Number of unit to unit unification failures: 49400 % N literal unification failure due to lookup root_id table: 58 % N base clause resolution failure due to lookup table: 14 % N UC-BCL resolution dropped due to lookup table: 0 % Max entries in substitution set: 11 % N unit clauses dropped because they exceeded max values: 107612 % N unit clauses dropped because too much nesting: 21652 % 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: 1860 % Total number of terms of all unit clauses in table: 6668 % Max allowed number of states in UCFA: 80000 % Ratio n states used/total allowed states: 0.02 % Ratio n states used/total unit clauses terms: 0.28 % Number of symbols (columns) in UCFA: 41 % Profile 2: Number of calls to: % ============================== % PTUnify() = 367442 % ConstructUnitClause() = 108535 % Profile 1: Time spent in: % ========================= % ConstructUnitClause() : 0.10 secs % -------------------------------------------------------- % | | % Inferences per sec: inf % | | % -------------------------------------------------------- % Elapsed time: 1 secs % CPU time: 0.50 secs % %------------------------------------------------------------------------------