%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG171+1 : TPTP v8.2.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 03:40:54 EDT 2024 % Result : Theorem 8.61s 8.68s % Output : CNFRefutation 8.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : ALG171+1 : TPTP v8.2.0. Released v2.7.0. % 0.04/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n005.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Wed Jun 19 16:42:09 EDT 2024 % 0.12/0.34 % CPUTime : % 0.54/0.61 start to proof:theBenchmark % 8.61/8.65 %------------------------------------------- % 8.61/8.65 % File :CSE---1.7 % 8.61/8.65 % Problem :theBenchmark % 8.61/8.65 % Transform :cnf % 8.61/8.65 % Format :tptp:raw % 8.61/8.65 % Command :java -jar mcs_scs.jar %d %s % 8.61/8.65 % 8.61/8.65 % Result :Theorem 7.960000s % 8.61/8.65 % Output :CNFRefutation 7.960000s % 8.61/8.65 %------------------------------------------- % 8.61/8.65 %-------------------------------------------------------------------------- % 8.61/8.65 % File : ALG171+1 : TPTP v8.2.0. Released v2.7.0. % 8.61/8.65 % Domain : General Algebra % 8.61/8.65 % Problem : Quasigroups 5 QG4: CPROPS-PAIRWISE-EXCLUSIVE-PROBLEM-2 % 8.61/8.65 % Version : Especial. % 8.61/8.65 % English : % 8.61/8.65 % 8.61/8.65 % Refs : [Mei03] Meier (2003), Email to G.Sutcliffe % 8.61/8.65 % : [CM+04] Colton et al. (2004), Automatic Generation of Classifi % 8.61/8.65 % Source : [Mei03] % 8.61/8.65 % Names : % 8.61/8.65 % 8.61/8.65 % Status : Theorem % 8.61/8.65 % Rating : 0.05 v8.2.0, 0.04 v8.1.0, 0.00 v6.3.0, 0.07 v6.2.0, 0.09 v6.1.0, 0.00 v5.5.0, 0.11 v5.4.0, 0.00 v5.3.0, 0.18 v5.2.0, 0.25 v5.0.0, 0.00 v3.7.0, 0.14 v3.5.0, 0.11 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v2.7.0 % 8.61/8.65 % Syntax : Number of formulae : 7 ( 0 unt; 0 def) % 8.61/8.65 % Number of atoms : 564 ( 564 equ) % 8.61/8.65 % Maximal formula atoms : 250 ( 80 avg) % 8.61/8.65 % Number of connectives : 693 ( 136 ~; 304 |; 253 &) % 8.61/8.65 % ( 0 <=>; 0 =>; 0 <=; 0 <~>) % 8.61/8.66 % Maximal formula depth : 101 ( 36 avg) % 8.61/8.66 % Maximal term depth : 4 ( 1 avg) % 8.61/8.66 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 8.61/8.66 % Number of functors : 6 ( 6 usr; 5 con; 0-2 aty) % 8.61/8.66 % Number of variables : 0 ( 0 !; 0 ?) % 8.61/8.66 % SPC : FOF_THM_RFO_PEQ % 8.61/8.66 % 8.61/8.66 % Comments : % 8.61/8.66 %-------------------------------------------------------------------------- % 8.61/8.66 fof(ax1,axiom, % 8.61/8.66 ( ( op(e0,e0) = e0 % 8.61/8.66 | op(e0,e0) = e1 % 8.61/8.66 | op(e0,e0) = e2 % 8.61/8.66 | op(e0,e0) = e3 % 8.61/8.66 | op(e0,e0) = e4 ) % 8.61/8.66 & ( op(e0,e1) = e0 % 8.61/8.66 | op(e0,e1) = e1 % 8.61/8.66 | op(e0,e1) = e2 % 8.61/8.66 | op(e0,e1) = e3 % 8.61/8.66 | op(e0,e1) = e4 ) % 8.61/8.66 & ( op(e0,e2) = e0 % 8.61/8.66 | op(e0,e2) = e1 % 8.61/8.66 | op(e0,e2) = e2 % 8.61/8.66 | op(e0,e2) = e3 % 8.61/8.66 | op(e0,e2) = e4 ) % 8.61/8.66 & ( op(e0,e3) = e0 % 8.61/8.66 | op(e0,e3) = e1 % 8.61/8.66 | op(e0,e3) = e2 % 8.61/8.66 | op(e0,e3) = e3 % 8.61/8.66 | op(e0,e3) = e4 ) % 8.61/8.66 & ( op(e0,e4) = e0 % 8.61/8.66 | op(e0,e4) = e1 % 8.61/8.66 | op(e0,e4) = e2 % 8.61/8.66 | op(e0,e4) = e3 % 8.61/8.66 | op(e0,e4) = e4 ) % 8.61/8.66 & ( op(e1,e0) = e0 % 8.61/8.66 | op(e1,e0) = e1 % 8.61/8.66 | op(e1,e0) = e2 % 8.61/8.66 | op(e1,e0) = e3 % 8.61/8.66 | op(e1,e0) = e4 ) % 8.61/8.66 & ( op(e1,e1) = e0 % 8.61/8.66 | op(e1,e1) = e1 % 8.61/8.66 | op(e1,e1) = e2 % 8.61/8.66 | op(e1,e1) = e3 % 8.61/8.66 | op(e1,e1) = e4 ) % 8.61/8.66 & ( op(e1,e2) = e0 % 8.61/8.66 | op(e1,e2) = e1 % 8.61/8.66 | op(e1,e2) = e2 % 8.61/8.66 | op(e1,e2) = e3 % 8.61/8.66 | op(e1,e2) = e4 ) % 8.61/8.66 & ( op(e1,e3) = e0 % 8.61/8.66 | op(e1,e3) = e1 % 8.61/8.66 | op(e1,e3) = e2 % 8.61/8.66 | op(e1,e3) = e3 % 8.61/8.66 | op(e1,e3) = e4 ) % 8.61/8.66 & ( op(e1,e4) = e0 % 8.61/8.66 | op(e1,e4) = e1 % 8.61/8.66 | op(e1,e4) = e2 % 8.61/8.66 | op(e1,e4) = e3 % 8.61/8.66 | op(e1,e4) = e4 ) % 8.61/8.66 & ( op(e2,e0) = e0 % 8.61/8.66 | op(e2,e0) = e1 % 8.61/8.66 | op(e2,e0) = e2 % 8.61/8.66 | op(e2,e0) = e3 % 8.61/8.66 | op(e2,e0) = e4 ) % 8.61/8.66 & ( op(e2,e1) = e0 % 8.61/8.66 | op(e2,e1) = e1 % 8.61/8.66 | op(e2,e1) = e2 % 8.61/8.66 | op(e2,e1) = e3 % 8.61/8.66 | op(e2,e1) = e4 ) % 8.61/8.66 & ( op(e2,e2) = e0 % 8.61/8.66 | op(e2,e2) = e1 % 8.61/8.66 | op(e2,e2) = e2 % 8.61/8.66 | op(e2,e2) = e3 % 8.61/8.66 | op(e2,e2) = e4 ) % 8.61/8.66 & ( op(e2,e3) = e0 % 8.61/8.66 | op(e2,e3) = e1 % 8.61/8.66 | op(e2,e3) = e2 % 8.61/8.66 | op(e2,e3) = e3 % 8.61/8.66 | op(e2,e3) = e4 ) % 8.61/8.66 & ( op(e2,e4) = e0 % 8.61/8.66 | op(e2,e4) = e1 % 8.61/8.66 | op(e2,e4) = e2 % 8.61/8.66 | op(e2,e4) = e3 % 8.61/8.66 | op(e2,e4) = e4 ) % 8.61/8.66 & ( op(e3,e0) = e0 % 8.61/8.66 | op(e3,e0) = e1 % 8.61/8.66 | op(e3,e0) = e2 % 8.61/8.66 | op(e3,e0) = e3 % 8.61/8.66 | op(e3,e0) = e4 ) % 8.61/8.66 & ( op(e3,e1) = e0 % 8.61/8.66 | op(e3,e1) = e1 % 8.61/8.66 | op(e3,e1) = e2 % 8.61/8.66 | op(e3,e1) = e3 % 8.61/8.66 | op(e3,e1) = e4 ) % 8.61/8.66 & ( op(e3,e2) = e0 % 8.61/8.66 | op(e3,e2) = e1 % 8.61/8.66 | op(e3,e2) = e2 % 8.61/8.66 | op(e3,e2) = e3 % 8.61/8.66 | op(e3,e2) = e4 ) % 8.61/8.66 & ( op(e3,e3) = e0 % 8.61/8.66 | op(e3,e3) = e1 % 8.61/8.66 | op(e3,e3) = e2 % 8.61/8.66 | op(e3,e3) = e3 % 8.61/8.66 | op(e3,e3) = e4 ) % 8.61/8.66 & ( op(e3,e4) = e0 % 8.61/8.66 | op(e3,e4) = e1 % 8.61/8.66 | op(e3,e4) = e2 % 8.61/8.66 | op(e3,e4) = e3 % 8.61/8.66 | op(e3,e4) = e4 ) % 8.61/8.66 & ( op(e4,e0) = e0 % 8.61/8.66 | op(e4,e0) = e1 % 8.61/8.66 | op(e4,e0) = e2 % 8.61/8.66 | op(e4,e0) = e3 % 8.61/8.66 | op(e4,e0) = e4 ) % 8.61/8.66 & ( op(e4,e1) = e0 % 8.61/8.66 | op(e4,e1) = e1 % 8.61/8.66 | op(e4,e1) = e2 % 8.61/8.66 | op(e4,e1) = e3 % 8.61/8.66 | op(e4,e1) = e4 ) % 8.61/8.66 & ( op(e4,e2) = e0 % 8.61/8.66 | op(e4,e2) = e1 % 8.61/8.66 | op(e4,e2) = e2 % 8.61/8.66 | op(e4,e2) = e3 % 8.61/8.66 | op(e4,e2) = e4 ) % 8.61/8.66 & ( op(e4,e3) = e0 % 8.61/8.66 | op(e4,e3) = e1 % 8.61/8.66 | op(e4,e3) = e2 % 8.61/8.66 | op(e4,e3) = e3 % 8.61/8.66 | op(e4,e3) = e4 ) % 8.61/8.66 & ( op(e4,e4) = e0 % 8.61/8.66 | op(e4,e4) = e1 % 8.61/8.66 | op(e4,e4) = e2 % 8.61/8.66 | op(e4,e4) = e3 % 8.61/8.66 | op(e4,e4) = e4 ) ) ). % 8.61/8.66 % 8.61/8.66 fof(ax2,axiom, % 8.61/8.66 ( ( op(e0,e0) = e0 % 8.61/8.66 | op(e0,e1) = e0 % 8.61/8.66 | op(e0,e2) = e0 % 8.61/8.66 | op(e0,e3) = e0 % 8.61/8.66 | op(e0,e4) = e0 ) % 8.61/8.66 & ( op(e0,e0) = e0 % 8.61/8.66 | op(e1,e0) = e0 % 8.61/8.66 | op(e2,e0) = e0 % 8.61/8.66 | op(e3,e0) = e0 % 8.61/8.66 | op(e4,e0) = e0 ) % 8.61/8.66 & ( op(e0,e0) = e1 % 8.61/8.66 | op(e0,e1) = e1 % 8.61/8.66 | op(e0,e2) = e1 % 8.61/8.66 | op(e0,e3) = e1 % 8.61/8.66 | op(e0,e4) = e1 ) % 8.61/8.66 & ( op(e0,e0) = e1 % 8.61/8.66 | op(e1,e0) = e1 % 8.61/8.66 | op(e2,e0) = e1 % 8.61/8.66 | op(e3,e0) = e1 % 8.61/8.66 | op(e4,e0) = e1 ) % 8.61/8.66 & ( op(e0,e0) = e2 % 8.61/8.66 | op(e0,e1) = e2 % 8.61/8.66 | op(e0,e2) = e2 % 8.61/8.66 | op(e0,e3) = e2 % 8.61/8.66 | op(e0,e4) = e2 ) % 8.61/8.66 & ( op(e0,e0) = e2 % 8.61/8.66 | op(e1,e0) = e2 % 8.61/8.66 | op(e2,e0) = e2 % 8.61/8.66 | op(e3,e0) = e2 % 8.61/8.66 | op(e4,e0) = e2 ) % 8.61/8.66 & ( op(e0,e0) = e3 % 8.61/8.66 | op(e0,e1) = e3 % 8.61/8.66 | op(e0,e2) = e3 % 8.61/8.66 | op(e0,e3) = e3 % 8.61/8.66 | op(e0,e4) = e3 ) % 8.61/8.66 & ( op(e0,e0) = e3 % 8.61/8.66 | op(e1,e0) = e3 % 8.61/8.66 | op(e2,e0) = e3 % 8.61/8.66 | op(e3,e0) = e3 % 8.61/8.66 | op(e4,e0) = e3 ) % 8.61/8.66 & ( op(e0,e0) = e4 % 8.61/8.66 | op(e0,e1) = e4 % 8.61/8.66 | op(e0,e2) = e4 % 8.61/8.66 | op(e0,e3) = e4 % 8.61/8.66 | op(e0,e4) = e4 ) % 8.61/8.66 & ( op(e0,e0) = e4 % 8.61/8.66 | op(e1,e0) = e4 % 8.61/8.66 | op(e2,e0) = e4 % 8.61/8.66 | op(e3,e0) = e4 % 8.61/8.66 | op(e4,e0) = e4 ) % 8.61/8.66 & ( op(e1,e0) = e0 % 8.61/8.66 | op(e1,e1) = e0 % 8.61/8.66 | op(e1,e2) = e0 % 8.61/8.66 | op(e1,e3) = e0 % 8.61/8.66 | op(e1,e4) = e0 ) % 8.61/8.66 & ( op(e0,e1) = e0 % 8.61/8.66 | op(e1,e1) = e0 % 8.61/8.66 | op(e2,e1) = e0 % 8.61/8.66 | op(e3,e1) = e0 % 8.61/8.66 | op(e4,e1) = e0 ) % 8.61/8.66 & ( op(e1,e0) = e1 % 8.61/8.66 | op(e1,e1) = e1 % 8.61/8.66 | op(e1,e2) = e1 % 8.61/8.66 | op(e1,e3) = e1 % 8.61/8.66 | op(e1,e4) = e1 ) % 8.61/8.66 & ( op(e0,e1) = e1 % 8.61/8.66 | op(e1,e1) = e1 % 8.61/8.66 | op(e2,e1) = e1 % 8.61/8.66 | op(e3,e1) = e1 % 8.61/8.66 | op(e4,e1) = e1 ) % 8.61/8.66 & ( op(e1,e0) = e2 % 8.61/8.66 | op(e1,e1) = e2 % 8.61/8.66 | op(e1,e2) = e2 % 8.61/8.66 | op(e1,e3) = e2 % 8.61/8.66 | op(e1,e4) = e2 ) % 8.61/8.66 & ( op(e0,e1) = e2 % 8.61/8.66 | op(e1,e1) = e2 % 8.61/8.66 | op(e2,e1) = e2 % 8.61/8.66 | op(e3,e1) = e2 % 8.61/8.66 | op(e4,e1) = e2 ) % 8.61/8.66 & ( op(e1,e0) = e3 % 8.61/8.66 | op(e1,e1) = e3 % 8.61/8.66 | op(e1,e2) = e3 % 8.61/8.66 | op(e1,e3) = e3 % 8.61/8.66 | op(e1,e4) = e3 ) % 8.61/8.66 & ( op(e0,e1) = e3 % 8.61/8.66 | op(e1,e1) = e3 % 8.61/8.66 | op(e2,e1) = e3 % 8.61/8.66 | op(e3,e1) = e3 % 8.61/8.66 | op(e4,e1) = e3 ) % 8.61/8.66 & ( op(e1,e0) = e4 % 8.61/8.67 | op(e1,e1) = e4 % 8.61/8.67 | op(e1,e2) = e4 % 8.61/8.67 | op(e1,e3) = e4 % 8.61/8.67 | op(e1,e4) = e4 ) % 8.61/8.67 & ( op(e0,e1) = e4 % 8.61/8.67 | op(e1,e1) = e4 % 8.61/8.67 | op(e2,e1) = e4 % 8.61/8.67 | op(e3,e1) = e4 % 8.61/8.67 | op(e4,e1) = e4 ) % 8.61/8.67 & ( op(e2,e0) = e0 % 8.61/8.67 | op(e2,e1) = e0 % 8.61/8.67 | op(e2,e2) = e0 % 8.61/8.67 | op(e2,e3) = e0 % 8.61/8.67 | op(e2,e4) = e0 ) % 8.61/8.67 & ( op(e0,e2) = e0 % 8.61/8.67 | op(e1,e2) = e0 % 8.61/8.67 | op(e2,e2) = e0 % 8.61/8.67 | op(e3,e2) = e0 % 8.61/8.67 | op(e4,e2) = e0 ) % 8.61/8.67 & ( op(e2,e0) = e1 % 8.61/8.67 | op(e2,e1) = e1 % 8.61/8.67 | op(e2,e2) = e1 % 8.61/8.67 | op(e2,e3) = e1 % 8.61/8.67 | op(e2,e4) = e1 ) % 8.61/8.67 & ( op(e0,e2) = e1 % 8.61/8.67 | op(e1,e2) = e1 % 8.61/8.67 | op(e2,e2) = e1 % 8.61/8.67 | op(e3,e2) = e1 % 8.61/8.67 | op(e4,e2) = e1 ) % 8.61/8.67 & ( op(e2,e0) = e2 % 8.61/8.67 | op(e2,e1) = e2 % 8.61/8.67 | op(e2,e2) = e2 % 8.61/8.67 | op(e2,e3) = e2 % 8.61/8.67 | op(e2,e4) = e2 ) % 8.61/8.67 & ( op(e0,e2) = e2 % 8.61/8.67 | op(e1,e2) = e2 % 8.61/8.67 | op(e2,e2) = e2 % 8.61/8.67 | op(e3,e2) = e2 % 8.61/8.67 | op(e4,e2) = e2 ) % 8.61/8.67 & ( op(e2,e0) = e3 % 8.61/8.67 | op(e2,e1) = e3 % 8.61/8.67 | op(e2,e2) = e3 % 8.61/8.67 | op(e2,e3) = e3 % 8.61/8.67 | op(e2,e4) = e3 ) % 8.61/8.67 & ( op(e0,e2) = e3 % 8.61/8.67 | op(e1,e2) = e3 % 8.61/8.67 | op(e2,e2) = e3 % 8.61/8.67 | op(e3,e2) = e3 % 8.61/8.67 | op(e4,e2) = e3 ) % 8.61/8.67 & ( op(e2,e0) = e4 % 8.61/8.67 | op(e2,e1) = e4 % 8.61/8.67 | op(e2,e2) = e4 % 8.61/8.67 | op(e2,e3) = e4 % 8.61/8.67 | op(e2,e4) = e4 ) % 8.61/8.67 & ( op(e0,e2) = e4 % 8.61/8.67 | op(e1,e2) = e4 % 8.61/8.67 | op(e2,e2) = e4 % 8.61/8.67 | op(e3,e2) = e4 % 8.61/8.67 | op(e4,e2) = e4 ) % 8.61/8.67 & ( op(e3,e0) = e0 % 8.61/8.67 | op(e3,e1) = e0 % 8.61/8.67 | op(e3,e2) = e0 % 8.61/8.67 | op(e3,e3) = e0 % 8.61/8.67 | op(e3,e4) = e0 ) % 8.61/8.67 & ( op(e0,e3) = e0 % 8.61/8.67 | op(e1,e3) = e0 % 8.61/8.67 | op(e2,e3) = e0 % 8.61/8.67 | op(e3,e3) = e0 % 8.61/8.67 | op(e4,e3) = e0 ) % 8.61/8.67 & ( op(e3,e0) = e1 % 8.61/8.67 | op(e3,e1) = e1 % 8.61/8.67 | op(e3,e2) = e1 % 8.61/8.67 | op(e3,e3) = e1 % 8.61/8.67 | op(e3,e4) = e1 ) % 8.61/8.67 & ( op(e0,e3) = e1 % 8.61/8.67 | op(e1,e3) = e1 % 8.61/8.67 | op(e2,e3) = e1 % 8.61/8.67 | op(e3,e3) = e1 % 8.61/8.67 | op(e4,e3) = e1 ) % 8.61/8.67 & ( op(e3,e0) = e2 % 8.61/8.67 | op(e3,e1) = e2 % 8.61/8.67 | op(e3,e2) = e2 % 8.61/8.67 | op(e3,e3) = e2 % 8.61/8.67 | op(e3,e4) = e2 ) % 8.61/8.67 & ( op(e0,e3) = e2 % 8.61/8.67 | op(e1,e3) = e2 % 8.61/8.67 | op(e2,e3) = e2 % 8.61/8.67 | op(e3,e3) = e2 % 8.61/8.67 | op(e4,e3) = e2 ) % 8.61/8.67 & ( op(e3,e0) = e3 % 8.61/8.67 | op(e3,e1) = e3 % 8.61/8.67 | op(e3,e2) = e3 % 8.61/8.67 | op(e3,e3) = e3 % 8.61/8.67 | op(e3,e4) = e3 ) % 8.61/8.67 & ( op(e0,e3) = e3 % 8.61/8.67 | op(e1,e3) = e3 % 8.61/8.67 | op(e2,e3) = e3 % 8.61/8.67 | op(e3,e3) = e3 % 8.61/8.67 | op(e4,e3) = e3 ) % 8.61/8.67 & ( op(e3,e0) = e4 % 8.61/8.67 | op(e3,e1) = e4 % 8.61/8.67 | op(e3,e2) = e4 % 8.61/8.67 | op(e3,e3) = e4 % 8.61/8.67 | op(e3,e4) = e4 ) % 8.61/8.67 & ( op(e0,e3) = e4 % 8.61/8.67 | op(e1,e3) = e4 % 8.61/8.67 | op(e2,e3) = e4 % 8.61/8.67 | op(e3,e3) = e4 % 8.61/8.67 | op(e4,e3) = e4 ) % 8.61/8.67 & ( op(e4,e0) = e0 % 8.61/8.67 | op(e4,e1) = e0 % 8.61/8.67 | op(e4,e2) = e0 % 8.61/8.67 | op(e4,e3) = e0 % 8.61/8.67 | op(e4,e4) = e0 ) % 8.61/8.67 & ( op(e0,e4) = e0 % 8.61/8.67 | op(e1,e4) = e0 % 8.61/8.67 | op(e2,e4) = e0 % 8.61/8.67 | op(e3,e4) = e0 % 8.61/8.67 | op(e4,e4) = e0 ) % 8.61/8.67 & ( op(e4,e0) = e1 % 8.61/8.67 | op(e4,e1) = e1 % 8.61/8.67 | op(e4,e2) = e1 % 8.61/8.67 | op(e4,e3) = e1 % 8.61/8.67 | op(e4,e4) = e1 ) % 8.61/8.67 & ( op(e0,e4) = e1 % 8.61/8.67 | op(e1,e4) = e1 % 8.61/8.67 | op(e2,e4) = e1 % 8.61/8.67 | op(e3,e4) = e1 % 8.61/8.67 | op(e4,e4) = e1 ) % 8.61/8.67 & ( op(e4,e0) = e2 % 8.61/8.67 | op(e4,e1) = e2 % 8.61/8.67 | op(e4,e2) = e2 % 8.61/8.67 | op(e4,e3) = e2 % 8.61/8.67 | op(e4,e4) = e2 ) % 8.61/8.67 & ( op(e0,e4) = e2 % 8.61/8.67 | op(e1,e4) = e2 % 8.61/8.67 | op(e2,e4) = e2 % 8.61/8.67 | op(e3,e4) = e2 % 8.61/8.67 | op(e4,e4) = e2 ) % 8.61/8.67 & ( op(e4,e0) = e3 % 8.61/8.67 | op(e4,e1) = e3 % 8.61/8.67 | op(e4,e2) = e3 % 8.61/8.67 | op(e4,e3) = e3 % 8.61/8.67 | op(e4,e4) = e3 ) % 8.61/8.67 & ( op(e0,e4) = e3 % 8.61/8.67 | op(e1,e4) = e3 % 8.61/8.67 | op(e2,e4) = e3 % 8.61/8.67 | op(e3,e4) = e3 % 8.61/8.67 | op(e4,e4) = e3 ) % 8.61/8.67 & ( op(e4,e0) = e4 % 8.61/8.67 | op(e4,e1) = e4 % 8.61/8.67 | op(e4,e2) = e4 % 8.61/8.67 | op(e4,e3) = e4 % 8.61/8.67 | op(e4,e4) = e4 ) % 8.61/8.67 & ( op(e0,e4) = e4 % 8.61/8.67 | op(e1,e4) = e4 % 8.61/8.67 | op(e2,e4) = e4 % 8.61/8.67 | op(e3,e4) = e4 % 8.61/8.67 | op(e4,e4) = e4 ) ) ). % 8.61/8.67 % 8.61/8.67 fof(ax3,axiom, % 8.61/8.67 ( op(op(e0,e0),op(e0,e0)) = e0 % 8.61/8.67 & op(op(e1,e0),op(e0,e1)) = e0 % 8.61/8.67 & op(op(e2,e0),op(e0,e2)) = e0 % 8.61/8.67 & op(op(e3,e0),op(e0,e3)) = e0 % 8.61/8.67 & op(op(e4,e0),op(e0,e4)) = e0 % 8.61/8.67 & op(op(e0,e1),op(e1,e0)) = e1 % 8.61/8.67 & op(op(e1,e1),op(e1,e1)) = e1 % 8.61/8.67 & op(op(e2,e1),op(e1,e2)) = e1 % 8.61/8.67 & op(op(e3,e1),op(e1,e3)) = e1 % 8.61/8.67 & op(op(e4,e1),op(e1,e4)) = e1 % 8.61/8.67 & op(op(e0,e2),op(e2,e0)) = e2 % 8.61/8.67 & op(op(e1,e2),op(e2,e1)) = e2 % 8.61/8.67 & op(op(e2,e2),op(e2,e2)) = e2 % 8.61/8.67 & op(op(e3,e2),op(e2,e3)) = e2 % 8.61/8.67 & op(op(e4,e2),op(e2,e4)) = e2 % 8.61/8.67 & op(op(e0,e3),op(e3,e0)) = e3 % 8.61/8.67 & op(op(e1,e3),op(e3,e1)) = e3 % 8.61/8.67 & op(op(e2,e3),op(e3,e2)) = e3 % 8.61/8.67 & op(op(e3,e3),op(e3,e3)) = e3 % 8.61/8.67 & op(op(e4,e3),op(e3,e4)) = e3 % 8.61/8.67 & op(op(e0,e4),op(e4,e0)) = e4 % 8.61/8.67 & op(op(e1,e4),op(e4,e1)) = e4 % 8.61/8.67 & op(op(e2,e4),op(e4,e2)) = e4 % 8.61/8.67 & op(op(e3,e4),op(e4,e3)) = e4 % 8.61/8.67 & op(op(e4,e4),op(e4,e4)) = e4 ) ). % 8.61/8.67 % 8.61/8.67 fof(ax4,axiom, % 8.61/8.67 ( op(e0,e0) != op(e1,e0) % 8.61/8.67 & op(e0,e0) != op(e2,e0) % 8.61/8.67 & op(e0,e0) != op(e3,e0) % 8.61/8.67 & op(e0,e0) != op(e4,e0) % 8.61/8.67 & op(e1,e0) != op(e2,e0) % 8.61/8.67 & op(e1,e0) != op(e3,e0) % 8.61/8.67 & op(e1,e0) != op(e4,e0) % 8.61/8.67 & op(e2,e0) != op(e3,e0) % 8.61/8.67 & op(e2,e0) != op(e4,e0) % 8.61/8.67 & op(e3,e0) != op(e4,e0) % 8.61/8.67 & op(e0,e1) != op(e1,e1) % 8.61/8.67 & op(e0,e1) != op(e2,e1) % 8.61/8.67 & op(e0,e1) != op(e3,e1) % 8.61/8.67 & op(e0,e1) != op(e4,e1) % 8.61/8.67 & op(e1,e1) != op(e2,e1) % 8.61/8.67 & op(e1,e1) != op(e3,e1) % 8.61/8.67 & op(e1,e1) != op(e4,e1) % 8.61/8.67 & op(e2,e1) != op(e3,e1) % 8.61/8.67 & op(e2,e1) != op(e4,e1) % 8.61/8.67 & op(e3,e1) != op(e4,e1) % 8.61/8.67 & op(e0,e2) != op(e1,e2) % 8.61/8.67 & op(e0,e2) != op(e2,e2) % 8.61/8.67 & op(e0,e2) != op(e3,e2) % 8.61/8.67 & op(e0,e2) != op(e4,e2) % 8.61/8.67 & op(e1,e2) != op(e2,e2) % 8.61/8.67 & op(e1,e2) != op(e3,e2) % 8.61/8.67 & op(e1,e2) != op(e4,e2) % 8.61/8.67 & op(e2,e2) != op(e3,e2) % 8.61/8.67 & op(e2,e2) != op(e4,e2) % 8.61/8.67 & op(e3,e2) != op(e4,e2) % 8.61/8.67 & op(e0,e3) != op(e1,e3) % 8.61/8.67 & op(e0,e3) != op(e2,e3) % 8.61/8.67 & op(e0,e3) != op(e3,e3) % 8.61/8.67 & op(e0,e3) != op(e4,e3) % 8.61/8.67 & op(e1,e3) != op(e2,e3) % 8.61/8.67 & op(e1,e3) != op(e3,e3) % 8.61/8.67 & op(e1,e3) != op(e4,e3) % 8.61/8.67 & op(e2,e3) != op(e3,e3) % 8.61/8.67 & op(e2,e3) != op(e4,e3) % 8.61/8.67 & op(e3,e3) != op(e4,e3) % 8.61/8.67 & op(e0,e4) != op(e1,e4) % 8.61/8.67 & op(e0,e4) != op(e2,e4) % 8.61/8.67 & op(e0,e4) != op(e3,e4) % 8.61/8.67 & op(e0,e4) != op(e4,e4) % 8.61/8.67 & op(e1,e4) != op(e2,e4) % 8.61/8.67 & op(e1,e4) != op(e3,e4) % 8.61/8.67 & op(e1,e4) != op(e4,e4) % 8.61/8.67 & op(e2,e4) != op(e3,e4) % 8.61/8.67 & op(e2,e4) != op(e4,e4) % 8.61/8.67 & op(e3,e4) != op(e4,e4) % 8.61/8.67 & op(e0,e0) != op(e0,e1) % 8.61/8.67 & op(e0,e0) != op(e0,e2) % 8.61/8.67 & op(e0,e0) != op(e0,e3) % 8.61/8.67 & op(e0,e0) != op(e0,e4) % 8.61/8.67 & op(e0,e1) != op(e0,e2) % 8.61/8.67 & op(e0,e1) != op(e0,e3) % 8.61/8.67 & op(e0,e1) != op(e0,e4) % 8.61/8.67 & op(e0,e2) != op(e0,e3) % 8.61/8.67 & op(e0,e2) != op(e0,e4) % 8.61/8.67 & op(e0,e3) != op(e0,e4) % 8.61/8.67 & op(e1,e0) != op(e1,e1) % 8.61/8.67 & op(e1,e0) != op(e1,e2) % 8.61/8.67 & op(e1,e0) != op(e1,e3) % 8.61/8.67 & op(e1,e0) != op(e1,e4) % 8.61/8.67 & op(e1,e1) != op(e1,e2) % 8.61/8.67 & op(e1,e1) != op(e1,e3) % 8.61/8.67 & op(e1,e1) != op(e1,e4) % 8.61/8.67 & op(e1,e2) != op(e1,e3) % 8.61/8.67 & op(e1,e2) != op(e1,e4) % 8.61/8.67 & op(e1,e3) != op(e1,e4) % 8.61/8.67 & op(e2,e0) != op(e2,e1) % 8.61/8.67 & op(e2,e0) != op(e2,e2) % 8.61/8.67 & op(e2,e0) != op(e2,e3) % 8.61/8.67 & op(e2,e0) != op(e2,e4) % 8.61/8.67 & op(e2,e1) != op(e2,e2) % 8.61/8.67 & op(e2,e1) != op(e2,e3) % 8.61/8.67 & op(e2,e1) != op(e2,e4) % 8.61/8.67 & op(e2,e2) != op(e2,e3) % 8.61/8.67 & op(e2,e2) != op(e2,e4) % 8.61/8.67 & op(e2,e3) != op(e2,e4) % 8.61/8.67 & op(e3,e0) != op(e3,e1) % 8.61/8.67 & op(e3,e0) != op(e3,e2) % 8.61/8.67 & op(e3,e0) != op(e3,e3) % 8.61/8.67 & op(e3,e0) != op(e3,e4) % 8.61/8.67 & op(e3,e1) != op(e3,e2) % 8.61/8.67 & op(e3,e1) != op(e3,e3) % 8.61/8.67 & op(e3,e1) != op(e3,e4) % 8.61/8.67 & op(e3,e2) != op(e3,e3) % 8.61/8.67 & op(e3,e2) != op(e3,e4) % 8.61/8.67 & op(e3,e3) != op(e3,e4) % 8.61/8.67 & op(e4,e0) != op(e4,e1) % 8.61/8.67 & op(e4,e0) != op(e4,e2) % 8.61/8.67 & op(e4,e0) != op(e4,e3) % 8.61/8.67 & op(e4,e0) != op(e4,e4) % 8.61/8.67 & op(e4,e1) != op(e4,e2) % 8.61/8.67 & op(e4,e1) != op(e4,e3) % 8.61/8.67 & op(e4,e1) != op(e4,e4) % 8.61/8.67 & op(e4,e2) != op(e4,e3) % 8.61/8.67 & op(e4,e2) != op(e4,e4) % 8.61/8.67 & op(e4,e3) != op(e4,e4) ) ). % 8.61/8.67 % 8.61/8.67 fof(ax5,axiom, % 8.61/8.67 ( e0 != e1 % 8.61/8.67 & e0 != e2 % 8.61/8.67 & e0 != e3 % 8.61/8.67 & e0 != e4 % 8.61/8.67 & e1 != e2 % 8.61/8.67 & e1 != e3 % 8.61/8.67 & e1 != e4 % 8.61/8.67 & e2 != e3 % 8.61/8.67 & e2 != e4 % 8.61/8.67 & e3 != e4 ) ). % 8.61/8.67 % 8.61/8.67 fof(ax6,axiom, % 8.61/8.67 ( e0 = op(e4,op(e4,e4)) % 8.61/8.67 & e1 = op(e4,e4) % 8.61/8.67 & e2 = op(op(e4,op(e4,e4)),op(e4,e4)) % 8.61/8.67 & e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ) ). % 8.61/8.67 % 8.61/8.67 fof(co1,conjecture, % 8.61/8.67 ~ ( ( ( op(e0,e0) != e0 % 8.61/8.67 & op(e1,e0) != e1 % 8.61/8.67 & op(e2,e0) != e2 % 8.61/8.67 & op(e3,e0) != e3 % 8.61/8.67 & op(e4,e0) != e4 ) % 8.61/8.67 | ( op(e0,e1) != e0 % 8.61/8.67 & op(e1,e1) != e1 % 8.61/8.67 & op(e2,e1) != e2 % 8.61/8.67 & op(e3,e1) != e3 % 8.61/8.67 & op(e4,e1) != e4 ) % 8.61/8.67 | ( op(e0,e2) != e0 % 8.61/8.67 & op(e1,e2) != e1 % 8.61/8.67 & op(e2,e2) != e2 % 8.61/8.67 & op(e3,e2) != e3 % 8.61/8.67 & op(e4,e2) != e4 ) % 8.61/8.67 | ( op(e0,e3) != e0 % 8.61/8.67 & op(e1,e3) != e1 % 8.61/8.67 & op(e2,e3) != e2 % 8.61/8.67 & op(e3,e3) != e3 % 8.61/8.67 & op(e4,e3) != e4 ) % 8.61/8.67 | ( op(e0,e4) != e0 % 8.61/8.67 & op(e1,e4) != e1 % 8.61/8.67 & op(e2,e4) != e2 % 8.61/8.67 & op(e3,e4) != e3 % 8.61/8.67 & op(e4,e4) != e4 ) ) % 8.61/8.67 & op(e0,op(e0,e0)) = e0 % 8.61/8.67 & op(e0,op(e0,e1)) = e1 % 8.61/8.67 & op(e0,op(e0,e2)) = e2 % 8.61/8.67 & op(e0,op(e0,e3)) = e3 % 8.61/8.67 & op(e0,op(e0,e4)) = e4 % 8.61/8.67 & op(e1,op(e1,e0)) = e0 % 8.61/8.67 & op(e1,op(e1,e1)) = e1 % 8.61/8.67 & op(e1,op(e1,e2)) = e2 % 8.61/8.67 & op(e1,op(e1,e3)) = e3 % 8.61/8.67 & op(e1,op(e1,e4)) = e4 % 8.61/8.67 & op(e2,op(e2,e0)) = e0 % 8.61/8.67 & op(e2,op(e2,e1)) = e1 % 8.61/8.67 & op(e2,op(e2,e2)) = e2 % 8.61/8.67 & op(e2,op(e2,e3)) = e3 % 8.61/8.67 & op(e2,op(e2,e4)) = e4 % 8.61/8.67 & op(e3,op(e3,e0)) = e0 % 8.61/8.67 & op(e3,op(e3,e1)) = e1 % 8.61/8.67 & op(e3,op(e3,e2)) = e2 % 8.61/8.67 & op(e3,op(e3,e3)) = e3 % 8.61/8.67 & op(e3,op(e3,e4)) = e4 % 8.61/8.67 & op(e4,op(e4,e0)) = e0 % 8.61/8.67 & op(e4,op(e4,e1)) = e1 % 8.61/8.67 & op(e4,op(e4,e2)) = e2 % 8.61/8.67 & op(e4,op(e4,e3)) = e3 % 8.61/8.67 & op(e4,op(e4,e4)) = e4 ) ). % 8.61/8.67 % 8.61/8.67 %-------------------------------------------------------------------------- % 8.61/8.67 %------------------------------------------- % 8.61/8.67 % Proof found % 8.61/8.68 % SZS status Theorem for theBenchmark % 8.61/8.68 % SZS output start Proof % 8.61/8.68 %ClaNum:301(EqnAxiom:7) % 8.61/8.68 %VarNum:0(SingletonVarNum:0) % 8.61/8.68 %MaxLitNum:5 % 8.61/8.68 %MaxfuncDepth:3 % 8.61/8.68 %SharedTerms:394 % 8.61/8.68 %goalClause: 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 172 173 174 175 176 % 8.61/8.68 %singleGoalClaCount:25 % 8.61/8.68 [62]~E(a2,a3) % 8.61/8.68 [63]~E(a4,a3) % 8.61/8.68 [64]~E(a4,a2) % 8.61/8.68 [65]~E(a5,a3) % 8.61/8.68 [66]~E(a5,a2) % 8.61/8.68 [67]~E(a5,a4) % 8.61/8.68 [68]~E(a3,a1) % 8.61/8.68 [69]~E(a2,a1) % 8.61/8.68 [70]~E(a4,a1) % 8.61/8.68 [71]~E(a5,a1) % 8.61/8.68 [8]E(f6(a1,a1),a2) % 8.61/8.68 [72]~E(f6(a3,a2),f6(a3,a3)) % 8.61/8.68 [73]~E(f6(a3,a4),f6(a3,a3)) % 8.61/8.68 [74]~E(f6(a3,a4),f6(a3,a2)) % 8.61/8.68 [75]~E(f6(a3,a5),f6(a3,a3)) % 8.61/8.68 [76]~E(f6(a3,a5),f6(a3,a2)) % 8.61/8.68 [77]~E(f6(a3,a5),f6(a3,a4)) % 8.61/8.68 [78]~E(f6(a3,a3),f6(a3,a1)) % 8.61/8.68 [79]~E(f6(a3,a2),f6(a3,a1)) % 8.61/8.68 [80]~E(f6(a3,a4),f6(a3,a1)) % 8.61/8.68 [81]~E(f6(a3,a5),f6(a3,a1)) % 8.61/8.68 [82]~E(f6(a2,a3),f6(a3,a3)) % 8.61/8.68 [83]~E(f6(a2,a2),f6(a3,a2)) % 8.61/8.68 [84]~E(f6(a2,a2),f6(a2,a3)) % 8.61/8.68 [85]~E(f6(a2,a4),f6(a3,a4)) % 8.61/8.68 [86]~E(f6(a2,a4),f6(a2,a3)) % 8.61/8.68 [87]~E(f6(a2,a4),f6(a2,a2)) % 8.61/8.68 [88]~E(f6(a2,a5),f6(a3,a5)) % 8.61/8.68 [89]~E(f6(a2,a5),f6(a2,a3)) % 8.61/8.68 [90]~E(f6(a2,a5),f6(a2,a2)) % 8.61/8.68 [91]~E(f6(a2,a5),f6(a2,a4)) % 8.61/8.68 [92]~E(f6(a2,a1),f6(a3,a1)) % 8.61/8.68 [93]~E(f6(a2,a3),f6(a2,a1)) % 8.61/8.68 [94]~E(f6(a2,a2),f6(a2,a1)) % 8.61/8.68 [95]~E(f6(a2,a4),f6(a2,a1)) % 8.61/8.68 [96]~E(f6(a2,a5),f6(a2,a1)) % 8.61/8.68 [97]~E(f6(a4,a3),f6(a3,a3)) % 8.61/8.68 [98]~E(f6(a4,a3),f6(a2,a3)) % 8.61/8.68 [99]~E(f6(a4,a2),f6(a3,a2)) % 8.61/8.68 [100]~E(f6(a4,a2),f6(a2,a2)) % 8.61/8.68 [101]~E(f6(a4,a2),f6(a4,a3)) % 8.61/8.68 [102]~E(f6(a4,a4),f6(a3,a4)) % 8.61/8.68 [103]~E(f6(a4,a4),f6(a2,a4)) % 8.61/8.68 [104]~E(f6(a4,a4),f6(a4,a3)) % 8.61/8.68 [105]~E(f6(a4,a4),f6(a4,a2)) % 8.61/8.68 [106]~E(f6(a4,a5),f6(a3,a5)) % 8.61/8.68 [107]~E(f6(a4,a5),f6(a2,a5)) % 8.61/8.68 [108]~E(f6(a4,a5),f6(a4,a3)) % 8.61/8.68 [109]~E(f6(a4,a5),f6(a4,a2)) % 8.61/8.68 [110]~E(f6(a4,a5),f6(a4,a4)) % 8.61/8.68 [111]~E(f6(a4,a1),f6(a3,a1)) % 8.61/8.68 [112]~E(f6(a4,a1),f6(a2,a1)) % 8.61/8.68 [113]~E(f6(a4,a3),f6(a4,a1)) % 8.61/8.68 [114]~E(f6(a4,a2),f6(a4,a1)) % 8.61/8.68 [115]~E(f6(a4,a4),f6(a4,a1)) % 8.61/8.68 [116]~E(f6(a4,a5),f6(a4,a1)) % 8.61/8.68 [117]~E(f6(a5,a3),f6(a3,a3)) % 8.61/8.68 [118]~E(f6(a5,a3),f6(a2,a3)) % 8.61/8.68 [119]~E(f6(a5,a3),f6(a4,a3)) % 8.61/8.68 [120]~E(f6(a5,a2),f6(a3,a2)) % 8.61/8.68 [121]~E(f6(a5,a2),f6(a2,a2)) % 8.61/8.68 [122]~E(f6(a5,a2),f6(a4,a2)) % 8.61/8.68 [123]~E(f6(a5,a2),f6(a5,a3)) % 8.61/8.68 [124]~E(f6(a5,a4),f6(a3,a4)) % 8.61/8.68 [125]~E(f6(a5,a4),f6(a2,a4)) % 8.61/8.68 [126]~E(f6(a5,a4),f6(a4,a4)) % 8.61/8.68 [127]~E(f6(a5,a4),f6(a5,a3)) % 8.61/8.68 [128]~E(f6(a5,a4),f6(a5,a2)) % 8.61/8.68 [129]~E(f6(a5,a5),f6(a3,a5)) % 8.61/8.68 [130]~E(f6(a5,a5),f6(a2,a5)) % 8.61/8.68 [131]~E(f6(a5,a5),f6(a4,a5)) % 8.61/8.68 [132]~E(f6(a5,a5),f6(a5,a3)) % 8.61/8.68 [133]~E(f6(a5,a5),f6(a5,a2)) % 8.61/8.68 [134]~E(f6(a5,a5),f6(a5,a4)) % 8.61/8.68 [135]~E(f6(a5,a1),f6(a3,a1)) % 8.61/8.68 [136]~E(f6(a5,a1),f6(a2,a1)) % 8.61/8.68 [137]~E(f6(a5,a1),f6(a4,a1)) % 8.61/8.68 [138]~E(f6(a5,a3),f6(a5,a1)) % 8.61/8.68 [139]~E(f6(a5,a2),f6(a5,a1)) % 8.61/8.68 [140]~E(f6(a5,a4),f6(a5,a1)) % 8.61/8.68 [141]~E(f6(a5,a5),f6(a5,a1)) % 8.61/8.68 [142]~E(f6(a3,a3),f6(a1,a3)) % 8.61/8.68 [143]~E(f6(a2,a3),f6(a1,a3)) % 8.61/8.68 [144]~E(f6(a4,a3),f6(a1,a3)) % 8.61/8.68 [145]~E(f6(a5,a3),f6(a1,a3)) % 8.61/8.68 [146]~E(f6(a3,a2),f6(a1,a2)) % 8.61/8.68 [147]~E(f6(a2,a2),f6(a1,a2)) % 8.61/8.68 [148]~E(f6(a4,a2),f6(a1,a2)) % 8.61/8.68 [149]~E(f6(a5,a2),f6(a1,a2)) % 8.61/8.68 [150]~E(f6(a1,a2),f6(a1,a3)) % 8.61/8.68 [151]~E(f6(a3,a4),f6(a1,a4)) % 8.61/8.68 [152]~E(f6(a2,a4),f6(a1,a4)) % 8.61/8.68 [153]~E(f6(a4,a4),f6(a1,a4)) % 8.61/8.68 [154]~E(f6(a5,a4),f6(a1,a4)) % 8.61/8.68 [155]~E(f6(a1,a4),f6(a1,a3)) % 8.61/8.68 [156]~E(f6(a1,a4),f6(a1,a2)) % 8.61/8.68 [157]~E(f6(a3,a5),f6(a1,a5)) % 8.61/8.68 [158]~E(f6(a2,a5),f6(a1,a5)) % 8.61/8.68 [159]~E(f6(a4,a5),f6(a1,a5)) % 8.61/8.68 [160]~E(f6(a5,a5),f6(a1,a5)) % 8.61/8.68 [161]~E(f6(a1,a5),f6(a1,a3)) % 8.61/8.68 [162]~E(f6(a1,a5),f6(a1,a2)) % 8.61/8.68 [163]~E(f6(a1,a5),f6(a1,a4)) % 8.61/8.68 [164]~E(f6(a3,a1),f6(a1,a1)) % 8.61/8.68 [165]~E(f6(a2,a1),f6(a1,a1)) % 8.61/8.68 [166]~E(f6(a4,a1),f6(a1,a1)) % 8.61/8.68 [167]~E(f6(a5,a1),f6(a1,a1)) % 8.61/8.68 [168]~E(f6(a1,a3),f6(a1,a1)) % 8.61/8.68 [169]~E(f6(a1,a2),f6(a1,a1)) % 8.61/8.68 [170]~E(f6(a1,a4),f6(a1,a1)) % 8.61/8.68 [171]~E(f6(a1,a5),f6(a1,a1)) % 8.61/8.68 [9]E(f6(a1,f6(a1,a1)),a3) % 8.61/8.68 [10]E(f6(a3,f6(a3,a3)),a3) % 8.61/8.68 [11]E(f6(a3,f6(a3,a2)),a2) % 8.61/8.68 [12]E(f6(a3,f6(a3,a4)),a4) % 8.61/8.68 [13]E(f6(a3,f6(a3,a5)),a5) % 8.61/8.68 [14]E(f6(a3,f6(a3,a1)),a1) % 8.61/8.68 [15]E(f6(a2,f6(a2,a3)),a3) % 8.61/8.68 [16]E(f6(a2,f6(a2,a2)),a2) % 8.61/8.68 [17]E(f6(a2,f6(a2,a4)),a4) % 8.61/8.68 [18]E(f6(a2,f6(a2,a5)),a5) % 8.61/8.68 [19]E(f6(a2,f6(a2,a1)),a1) % 8.61/8.68 [20]E(f6(a4,f6(a4,a3)),a3) % 8.61/8.68 [21]E(f6(a4,f6(a4,a2)),a2) % 8.61/8.68 [22]E(f6(a4,f6(a4,a4)),a4) % 8.61/8.68 [23]E(f6(a4,f6(a4,a5)),a5) % 8.61/8.68 [24]E(f6(a4,f6(a4,a1)),a1) % 8.61/8.68 [25]E(f6(a5,f6(a5,a3)),a3) % 8.61/8.68 [26]E(f6(a5,f6(a5,a2)),a2) % 8.61/8.68 [27]E(f6(a5,f6(a5,a4)),a4) % 8.61/8.68 [28]E(f6(a5,f6(a5,a5)),a5) % 8.61/8.68 [29]E(f6(a5,f6(a5,a1)),a1) % 8.61/8.68 [30]E(f6(a1,f6(a1,a3)),a3) % 8.61/8.68 [31]E(f6(a1,f6(a1,a2)),a2) % 8.61/8.68 [32]E(f6(a1,f6(a1,a4)),a4) % 8.61/8.68 [33]E(f6(a1,f6(a1,a5)),a5) % 8.61/8.68 [34]E(f6(a1,f6(a1,a1)),a1) % 8.61/8.68 [35]E(f6(f6(a3,a3),f6(a3,a3)),a3) % 8.61/8.68 [36]E(f6(f6(a3,a2),f6(a2,a3)),a2) % 8.61/8.68 [37]E(f6(f6(a3,a4),f6(a4,a3)),a4) % 8.61/8.68 [38]E(f6(f6(a3,a5),f6(a5,a3)),a5) % 8.61/8.68 [39]E(f6(f6(a3,a1),f6(a1,a3)),a1) % 8.61/8.68 [40]E(f6(f6(a2,a3),f6(a3,a2)),a3) % 8.61/8.68 [41]E(f6(f6(a2,a2),f6(a2,a2)),a2) % 8.61/8.68 [42]E(f6(f6(a2,a4),f6(a4,a2)),a4) % 8.61/8.68 [43]E(f6(f6(a2,a5),f6(a5,a2)),a5) % 8.61/8.68 [44]E(f6(f6(a2,a1),f6(a1,a2)),a1) % 8.61/8.68 [45]E(f6(f6(a4,a3),f6(a3,a4)),a3) % 8.61/8.68 [46]E(f6(f6(a4,a2),f6(a2,a4)),a2) % 8.61/8.68 [47]E(f6(f6(a4,a4),f6(a4,a4)),a4) % 8.61/8.68 [48]E(f6(f6(a4,a5),f6(a5,a4)),a5) % 8.61/8.68 [49]E(f6(f6(a4,a1),f6(a1,a4)),a1) % 8.61/8.68 [50]E(f6(f6(a5,a3),f6(a3,a5)),a3) % 8.61/8.68 [51]E(f6(f6(a5,a2),f6(a2,a5)),a2) % 8.61/8.68 [52]E(f6(f6(a5,a4),f6(a4,a5)),a4) % 8.61/8.68 [53]E(f6(f6(a5,a5),f6(a5,a5)),a5) % 8.61/8.68 [54]E(f6(f6(a5,a1),f6(a1,a5)),a1) % 8.61/8.68 [55]E(f6(f6(a1,a3),f6(a3,a1)),a3) % 8.61/8.68 [56]E(f6(f6(a1,a2),f6(a2,a1)),a2) % 8.61/8.68 [57]E(f6(f6(a1,a4),f6(a4,a1)),a4) % 8.61/8.68 [58]E(f6(f6(a1,a5),f6(a5,a1)),a5) % 8.61/8.68 [59]E(f6(f6(a1,a1),f6(a1,a1)),a1) % 8.61/8.68 [60]E(f6(f6(a1,f6(a1,a1)),f6(a1,a1)),a4) % 8.61/8.68 [61]E(f6(f6(a1,f6(a1,a1)),f6(a1,f6(a1,a1))),a5) % 8.61/8.68 [172]P1(a5000)+~E(f6(a3,a1),a3) % 8.61/8.68 [173]P1(a5000)+~E(f6(a2,a1),a2) % 8.61/8.68 [174]P1(a5000)+~E(f6(a4,a1),a4) % 8.61/8.68 [175]P1(a5000)+~E(f6(a5,a1),a5) % 8.61/8.68 [176]P1(a5000)+~E(f6(a1,a1),a1) % 8.61/8.68 [177]~P2(a5000)+~E(f6(a3,a3),a3)+~E(f6(a3,a2),a3) % 8.61/8.68 [178]~P2(a5000)+~E(f6(a3,a3),a3)+~E(f6(a2,a2),a2) % 8.61/8.68 [179]~P2(a5000)+~E(f6(a3,a3),a3)+~E(f6(a4,a2),a4) % 8.61/8.68 [180]~P2(a5000)+~E(f6(a3,a3),a3)+~E(f6(a5,a2),a5) % 8.61/8.68 [181]~P2(a5000)+~E(f6(a3,a3),a3)+~E(f6(a1,a2),a1) % 8.61/8.68 [182]~P2(a5000)+~E(f6(a3,a2),a3)+~E(f6(a2,a3),a2) % 8.61/8.68 [183]~P2(a5000)+~E(f6(a3,a2),a3)+~E(f6(a4,a3),a4) % 8.61/8.68 [184]~P2(a5000)+~E(f6(a3,a2),a3)+~E(f6(a5,a3),a5) % 8.61/8.68 [185]~P2(a5000)+~E(f6(a3,a2),a3)+~E(f6(a1,a3),a1) % 8.61/8.68 [186]~P2(a5000)+~E(f6(a2,a3),a2)+~E(f6(a2,a2),a2) % 8.61/8.68 [187]~P2(a5000)+~E(f6(a2,a3),a2)+~E(f6(a4,a2),a4) % 8.61/8.68 [188]~P2(a5000)+~E(f6(a2,a3),a2)+~E(f6(a5,a2),a5) % 8.61/8.68 [189]~P2(a5000)+~E(f6(a2,a3),a2)+~E(f6(a1,a2),a1) % 8.61/8.68 [190]~P2(a5000)+~E(f6(a2,a2),a2)+~E(f6(a4,a3),a4) % 8.61/8.68 [191]~P2(a5000)+~E(f6(a2,a2),a2)+~E(f6(a5,a3),a5) % 8.61/8.68 [192]~P2(a5000)+~E(f6(a2,a2),a2)+~E(f6(a1,a3),a1) % 8.61/8.68 [193]~P2(a5000)+~E(f6(a4,a3),a4)+~E(f6(a4,a2),a4) % 8.61/8.68 [194]~P2(a5000)+~E(f6(a4,a3),a4)+~E(f6(a5,a2),a5) % 8.61/8.68 [195]~P2(a5000)+~E(f6(a4,a3),a4)+~E(f6(a1,a2),a1) % 8.61/8.68 [196]~P2(a5000)+~E(f6(a4,a2),a4)+~E(f6(a5,a3),a5) % 8.61/8.68 [197]~P2(a5000)+~E(f6(a4,a2),a4)+~E(f6(a1,a3),a1) % 8.61/8.68 [198]~P2(a5000)+~E(f6(a5,a3),a5)+~E(f6(a5,a2),a5) % 8.61/8.68 [199]~P2(a5000)+~E(f6(a5,a3),a5)+~E(f6(a1,a2),a1) % 8.61/8.68 [200]~P2(a5000)+~E(f6(a5,a2),a5)+~E(f6(a1,a3),a1) % 8.61/8.68 [201]~P2(a5000)+~E(f6(a1,a3),a1)+~E(f6(a1,a2),a1) % 8.61/8.68 [202]P2(a5000)+~P1(a5000)+~E(f6(a3,a4),a3)+~E(f6(a3,a5),a3) % 8.61/8.68 [203]P2(a5000)+~P1(a5000)+~E(f6(a3,a4),a3)+~E(f6(a2,a5),a2) % 8.61/8.68 [204]P2(a5000)+~P1(a5000)+~E(f6(a3,a4),a3)+~E(f6(a4,a5),a4) % 8.61/8.68 [205]P2(a5000)+~P1(a5000)+~E(f6(a3,a4),a3)+~E(f6(a5,a5),a5) % 8.61/8.68 [206]P2(a5000)+~P1(a5000)+~E(f6(a3,a4),a3)+~E(f6(a1,a5),a1) % 8.61/8.68 [207]P2(a5000)+~P1(a5000)+~E(f6(a3,a5),a3)+~E(f6(a2,a4),a2) % 8.61/8.68 [208]P2(a5000)+~P1(a5000)+~E(f6(a3,a5),a3)+~E(f6(a4,a4),a4) % 8.61/8.68 [209]P2(a5000)+~P1(a5000)+~E(f6(a3,a5),a3)+~E(f6(a5,a4),a5) % 8.61/8.68 [210]P2(a5000)+~P1(a5000)+~E(f6(a3,a5),a3)+~E(f6(a1,a4),a1) % 8.61/8.68 [211]P2(a5000)+~P1(a5000)+~E(f6(a2,a4),a2)+~E(f6(a2,a5),a2) % 8.61/8.68 [212]P2(a5000)+~P1(a5000)+~E(f6(a2,a4),a2)+~E(f6(a4,a5),a4) % 8.61/8.68 [213]P2(a5000)+~P1(a5000)+~E(f6(a2,a4),a2)+~E(f6(a5,a5),a5) % 8.61/8.68 [214]P2(a5000)+~P1(a5000)+~E(f6(a2,a4),a2)+~E(f6(a1,a5),a1) % 8.61/8.68 [215]P2(a5000)+~P1(a5000)+~E(f6(a2,a5),a2)+~E(f6(a4,a4),a4) % 8.61/8.68 [216]P2(a5000)+~P1(a5000)+~E(f6(a2,a5),a2)+~E(f6(a5,a4),a5) % 8.61/8.68 [217]P2(a5000)+~P1(a5000)+~E(f6(a2,a5),a2)+~E(f6(a1,a4),a1) % 8.61/8.68 [218]P2(a5000)+~P1(a5000)+~E(f6(a4,a4),a4)+~E(f6(a4,a5),a4) % 8.61/8.68 [219]P2(a5000)+~P1(a5000)+~E(f6(a4,a4),a4)+~E(f6(a5,a5),a5) % 8.61/8.68 [220]P2(a5000)+~P1(a5000)+~E(f6(a4,a4),a4)+~E(f6(a1,a5),a1) % 8.61/8.68 [221]P2(a5000)+~P1(a5000)+~E(f6(a4,a5),a4)+~E(f6(a5,a4),a5) % 8.61/8.68 [222]P2(a5000)+~P1(a5000)+~E(f6(a4,a5),a4)+~E(f6(a1,a4),a1) % 8.61/8.68 [223]P2(a5000)+~P1(a5000)+~E(f6(a5,a4),a5)+~E(f6(a5,a5),a5) % 8.61/8.68 [224]P2(a5000)+~P1(a5000)+~E(f6(a5,a4),a5)+~E(f6(a1,a5),a1) % 8.61/8.68 [225]P2(a5000)+~P1(a5000)+~E(f6(a5,a5),a5)+~E(f6(a1,a4),a1) % 8.61/8.68 [226]P2(a5000)+~P1(a5000)+~E(f6(a1,a4),a1)+~E(f6(a1,a5),a1) % 8.61/8.68 [227]E(f6(a3,a3),a1)+E(f6(a3,a3),a5)+E(f6(a3,a3),a4)+E(f6(a3,a3),a2)+E(f6(a3,a3),a3) % 8.61/8.68 [228]E(f6(a3,a3),a3)+E(f6(a3,a2),a3)+E(f6(a3,a4),a3)+E(f6(a3,a5),a3)+E(f6(a3,a1),a3) % 8.61/8.68 [229]E(f6(a3,a3),a3)+E(f6(a2,a3),a3)+E(f6(a4,a3),a3)+E(f6(a5,a3),a3)+E(f6(a1,a3),a3) % 8.61/8.68 [230]E(f6(a3,a3),a2)+E(f6(a3,a2),a2)+E(f6(a3,a4),a2)+E(f6(a3,a5),a2)+E(f6(a3,a1),a2) % 8.61/8.68 [231]E(f6(a3,a3),a2)+E(f6(a2,a3),a2)+E(f6(a4,a3),a2)+E(f6(a5,a3),a2)+E(f6(a1,a3),a2) % 8.61/8.68 [232]E(f6(a3,a3),a4)+E(f6(a3,a2),a4)+E(f6(a3,a4),a4)+E(f6(a3,a5),a4)+E(f6(a3,a1),a4) % 8.61/8.68 [233]E(f6(a3,a3),a4)+E(f6(a2,a3),a4)+E(f6(a4,a3),a4)+E(f6(a5,a3),a4)+E(f6(a1,a3),a4) % 8.61/8.68 [234]E(f6(a3,a3),a5)+E(f6(a3,a2),a5)+E(f6(a3,a4),a5)+E(f6(a3,a5),a5)+E(f6(a3,a1),a5) % 8.61/8.68 [235]E(f6(a3,a3),a5)+E(f6(a2,a3),a5)+E(f6(a4,a3),a5)+E(f6(a5,a3),a5)+E(f6(a1,a3),a5) % 8.61/8.68 [236]E(f6(a3,a3),a1)+E(f6(a3,a2),a1)+E(f6(a3,a4),a1)+E(f6(a3,a5),a1)+E(f6(a3,a1),a1) % 8.61/8.68 [237]E(f6(a3,a3),a1)+E(f6(a2,a3),a1)+E(f6(a4,a3),a1)+E(f6(a5,a3),a1)+E(f6(a1,a3),a1) % 8.61/8.68 [238]E(f6(a3,a2),a1)+E(f6(a3,a2),a5)+E(f6(a3,a2),a4)+E(f6(a3,a2),a2)+E(f6(a3,a2),a3) % 8.61/8.68 [239]E(f6(a3,a2),a3)+E(f6(a2,a2),a3)+E(f6(a4,a2),a3)+E(f6(a5,a2),a3)+E(f6(a1,a2),a3) % 8.61/8.68 [240]E(f6(a3,a2),a2)+E(f6(a2,a2),a2)+E(f6(a4,a2),a2)+E(f6(a5,a2),a2)+E(f6(a1,a2),a2) % 8.61/8.68 [241]E(f6(a3,a2),a4)+E(f6(a2,a2),a4)+E(f6(a4,a2),a4)+E(f6(a5,a2),a4)+E(f6(a1,a2),a4) % 8.61/8.68 [242]E(f6(a3,a2),a5)+E(f6(a2,a2),a5)+E(f6(a4,a2),a5)+E(f6(a5,a2),a5)+E(f6(a1,a2),a5) % 8.61/8.68 [243]E(f6(a3,a2),a1)+E(f6(a2,a2),a1)+E(f6(a4,a2),a1)+E(f6(a5,a2),a1)+E(f6(a1,a2),a1) % 8.61/8.68 [244]E(f6(a3,a4),a1)+E(f6(a3,a4),a5)+E(f6(a3,a4),a4)+E(f6(a3,a4),a2)+E(f6(a3,a4),a3) % 8.61/8.68 [245]E(f6(a3,a4),a3)+E(f6(a2,a4),a3)+E(f6(a4,a4),a3)+E(f6(a5,a4),a3)+E(f6(a1,a4),a3) % 8.61/8.68 [246]E(f6(a3,a4),a2)+E(f6(a2,a4),a2)+E(f6(a4,a4),a2)+E(f6(a5,a4),a2)+E(f6(a1,a4),a2) % 8.61/8.68 [247]E(f6(a3,a4),a4)+E(f6(a2,a4),a4)+E(f6(a4,a4),a4)+E(f6(a5,a4),a4)+E(f6(a1,a4),a4) % 8.61/8.68 [248]E(f6(a3,a4),a5)+E(f6(a2,a4),a5)+E(f6(a4,a4),a5)+E(f6(a5,a4),a5)+E(f6(a1,a4),a5) % 8.61/8.68 [249]E(f6(a3,a4),a1)+E(f6(a2,a4),a1)+E(f6(a4,a4),a1)+E(f6(a5,a4),a1)+E(f6(a1,a4),a1) % 8.61/8.68 [250]E(f6(a3,a5),a1)+E(f6(a3,a5),a5)+E(f6(a3,a5),a4)+E(f6(a3,a5),a2)+E(f6(a3,a5),a3) % 8.61/8.68 [251]E(f6(a3,a5),a3)+E(f6(a2,a5),a3)+E(f6(a4,a5),a3)+E(f6(a5,a5),a3)+E(f6(a1,a5),a3) % 8.61/8.68 [252]E(f6(a3,a5),a2)+E(f6(a2,a5),a2)+E(f6(a4,a5),a2)+E(f6(a5,a5),a2)+E(f6(a1,a5),a2) % 8.61/8.68 [253]E(f6(a3,a5),a4)+E(f6(a2,a5),a4)+E(f6(a4,a5),a4)+E(f6(a5,a5),a4)+E(f6(a1,a5),a4) % 8.61/8.68 [254]E(f6(a3,a5),a5)+E(f6(a2,a5),a5)+E(f6(a4,a5),a5)+E(f6(a5,a5),a5)+E(f6(a1,a5),a5) % 8.61/8.68 [255]E(f6(a3,a5),a1)+E(f6(a2,a5),a1)+E(f6(a4,a5),a1)+E(f6(a5,a5),a1)+E(f6(a1,a5),a1) % 8.61/8.68 [256]E(f6(a3,a1),a1)+E(f6(a3,a1),a5)+E(f6(a3,a1),a4)+E(f6(a3,a1),a2)+E(f6(a3,a1),a3) % 8.61/8.68 [257]E(f6(a1,a1),a3)+E(f6(a3,a1),a3)+E(f6(a2,a1),a3)+E(f6(a4,a1),a3)+E(f6(a5,a1),a3) % 8.61/8.68 [259]E(f6(a1,a1),a4)+E(f6(a3,a1),a4)+E(f6(a2,a1),a4)+E(f6(a4,a1),a4)+E(f6(a5,a1),a4) % 8.61/8.68 [260]E(f6(a1,a1),a5)+E(f6(a3,a1),a5)+E(f6(a2,a1),a5)+E(f6(a4,a1),a5)+E(f6(a5,a1),a5) % 8.61/8.68 [261]E(f6(a1,a1),a1)+E(f6(a3,a1),a1)+E(f6(a2,a1),a1)+E(f6(a4,a1),a1)+E(f6(a5,a1),a1) % 8.61/8.68 [262]E(f6(a2,a3),a1)+E(f6(a2,a3),a5)+E(f6(a2,a3),a4)+E(f6(a2,a3),a2)+E(f6(a2,a3),a3) % 8.61/8.68 [263]E(f6(a2,a3),a3)+E(f6(a2,a2),a3)+E(f6(a2,a4),a3)+E(f6(a2,a5),a3)+E(f6(a2,a1),a3) % 8.61/8.68 [264]E(f6(a2,a3),a2)+E(f6(a2,a2),a2)+E(f6(a2,a4),a2)+E(f6(a2,a5),a2)+E(f6(a2,a1),a2) % 8.61/8.68 [265]E(f6(a2,a3),a4)+E(f6(a2,a2),a4)+E(f6(a2,a4),a4)+E(f6(a2,a5),a4)+E(f6(a2,a1),a4) % 8.61/8.68 [266]E(f6(a2,a3),a5)+E(f6(a2,a2),a5)+E(f6(a2,a4),a5)+E(f6(a2,a5),a5)+E(f6(a2,a1),a5) % 8.61/8.68 [267]E(f6(a2,a3),a1)+E(f6(a2,a2),a1)+E(f6(a2,a4),a1)+E(f6(a2,a5),a1)+E(f6(a2,a1),a1) % 8.61/8.68 [268]E(f6(a2,a2),a1)+E(f6(a2,a2),a5)+E(f6(a2,a2),a4)+E(f6(a2,a2),a2)+E(f6(a2,a2),a3) % 8.61/8.68 [269]E(f6(a2,a4),a1)+E(f6(a2,a4),a5)+E(f6(a2,a4),a4)+E(f6(a2,a4),a2)+E(f6(a2,a4),a3) % 8.61/8.68 [270]E(f6(a2,a5),a1)+E(f6(a2,a5),a5)+E(f6(a2,a5),a4)+E(f6(a2,a5),a2)+E(f6(a2,a5),a3) % 8.61/8.68 [271]E(f6(a2,a1),a1)+E(f6(a2,a1),a5)+E(f6(a2,a1),a4)+E(f6(a2,a1),a2)+E(f6(a2,a1),a3) % 8.61/8.68 [272]E(f6(a4,a3),a1)+E(f6(a4,a3),a5)+E(f6(a4,a3),a4)+E(f6(a4,a3),a2)+E(f6(a4,a3),a3) % 8.61/8.68 [273]E(f6(a4,a3),a3)+E(f6(a4,a2),a3)+E(f6(a4,a4),a3)+E(f6(a4,a5),a3)+E(f6(a4,a1),a3) % 8.61/8.68 [274]E(f6(a4,a3),a2)+E(f6(a4,a2),a2)+E(f6(a4,a4),a2)+E(f6(a4,a5),a2)+E(f6(a4,a1),a2) % 8.61/8.68 [275]E(f6(a4,a3),a4)+E(f6(a4,a2),a4)+E(f6(a4,a4),a4)+E(f6(a4,a5),a4)+E(f6(a4,a1),a4) % 8.61/8.68 [276]E(f6(a4,a3),a5)+E(f6(a4,a2),a5)+E(f6(a4,a4),a5)+E(f6(a4,a5),a5)+E(f6(a4,a1),a5) % 8.61/8.68 [277]E(f6(a4,a3),a1)+E(f6(a4,a2),a1)+E(f6(a4,a4),a1)+E(f6(a4,a5),a1)+E(f6(a4,a1),a1) % 8.61/8.68 [278]E(f6(a4,a2),a1)+E(f6(a4,a2),a5)+E(f6(a4,a2),a4)+E(f6(a4,a2),a2)+E(f6(a4,a2),a3) % 8.61/8.68 [279]E(f6(a4,a4),a1)+E(f6(a4,a4),a5)+E(f6(a4,a4),a4)+E(f6(a4,a4),a2)+E(f6(a4,a4),a3) % 8.61/8.68 [280]E(f6(a4,a5),a1)+E(f6(a4,a5),a5)+E(f6(a4,a5),a4)+E(f6(a4,a5),a2)+E(f6(a4,a5),a3) % 8.61/8.68 [281]E(f6(a4,a1),a1)+E(f6(a4,a1),a5)+E(f6(a4,a1),a4)+E(f6(a4,a1),a2)+E(f6(a4,a1),a3) % 8.61/8.68 [282]E(f6(a5,a3),a1)+E(f6(a5,a3),a5)+E(f6(a5,a3),a4)+E(f6(a5,a3),a2)+E(f6(a5,a3),a3) % 8.61/8.68 [283]E(f6(a5,a3),a3)+E(f6(a5,a2),a3)+E(f6(a5,a4),a3)+E(f6(a5,a5),a3)+E(f6(a5,a1),a3) % 8.61/8.68 [284]E(f6(a5,a3),a2)+E(f6(a5,a2),a2)+E(f6(a5,a4),a2)+E(f6(a5,a5),a2)+E(f6(a5,a1),a2) % 8.61/8.68 [285]E(f6(a5,a3),a4)+E(f6(a5,a2),a4)+E(f6(a5,a4),a4)+E(f6(a5,a5),a4)+E(f6(a5,a1),a4) % 8.61/8.68 [286]E(f6(a5,a3),a5)+E(f6(a5,a2),a5)+E(f6(a5,a4),a5)+E(f6(a5,a5),a5)+E(f6(a5,a1),a5) % 8.61/8.68 [287]E(f6(a5,a3),a1)+E(f6(a5,a2),a1)+E(f6(a5,a4),a1)+E(f6(a5,a5),a1)+E(f6(a5,a1),a1) % 8.61/8.68 [288]E(f6(a5,a2),a1)+E(f6(a5,a2),a5)+E(f6(a5,a2),a4)+E(f6(a5,a2),a2)+E(f6(a5,a2),a3) % 8.61/8.68 [289]E(f6(a5,a4),a1)+E(f6(a5,a4),a5)+E(f6(a5,a4),a4)+E(f6(a5,a4),a2)+E(f6(a5,a4),a3) % 8.61/8.68 [290]E(f6(a5,a5),a1)+E(f6(a5,a5),a5)+E(f6(a5,a5),a4)+E(f6(a5,a5),a2)+E(f6(a5,a5),a3) % 8.61/8.68 [291]E(f6(a5,a1),a1)+E(f6(a5,a1),a5)+E(f6(a5,a1),a4)+E(f6(a5,a1),a2)+E(f6(a5,a1),a3) % 8.61/8.68 [292]E(f6(a1,a3),a1)+E(f6(a1,a3),a5)+E(f6(a1,a3),a4)+E(f6(a1,a3),a2)+E(f6(a1,a3),a3) % 8.61/8.68 [293]E(f6(a1,a1),a3)+E(f6(a1,a3),a3)+E(f6(a1,a2),a3)+E(f6(a1,a4),a3)+E(f6(a1,a5),a3) % 8.61/8.68 [295]E(f6(a1,a1),a4)+E(f6(a1,a3),a4)+E(f6(a1,a2),a4)+E(f6(a1,a4),a4)+E(f6(a1,a5),a4) % 8.61/8.68 [296]E(f6(a1,a1),a5)+E(f6(a1,a3),a5)+E(f6(a1,a2),a5)+E(f6(a1,a4),a5)+E(f6(a1,a5),a5) % 8.61/8.68 [297]E(f6(a1,a3),a1)+E(f6(a1,a1),a1)+E(f6(a1,a2),a1)+E(f6(a1,a4),a1)+E(f6(a1,a5),a1) % 8.61/8.68 [298]E(f6(a1,a2),a1)+E(f6(a1,a2),a5)+E(f6(a1,a2),a4)+E(f6(a1,a2),a2)+E(f6(a1,a2),a3) % 8.61/8.68 [299]E(f6(a1,a4),a1)+E(f6(a1,a4),a5)+E(f6(a1,a4),a4)+E(f6(a1,a4),a2)+E(f6(a1,a4),a3) % 8.61/8.68 [300]E(f6(a1,a5),a1)+E(f6(a1,a5),a5)+E(f6(a1,a5),a4)+E(f6(a1,a5),a2)+E(f6(a1,a5),a3) % 8.61/8.68 %EqnAxiom % 8.61/8.68 [1]E(x11,x11) % 8.61/8.68 [2]E(x22,x21)+~E(x21,x22) % 8.61/8.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 8.61/8.68 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43)) % 8.61/8.68 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52)) % 8.61/8.68 [6]~P1(x61)+P1(x62)+~E(x61,x62) % 8.61/8.68 [7]~P2(x71)+P2(x72)+~E(x71,x72) % 8.61/8.68 % 8.61/8.68 %------------------------------------------- % 8.61/8.68 cnf(323,plain, % 8.61/8.68 (E(a1,f6(a3,f6(a3,a1)))), % 8.61/8.68 inference(scs_inference,[],[14,2])). % 8.61/8.68 cnf(328,plain, % 8.61/8.68 (E(f6(a2,f6(a2,a1)),f6(a3,f6(a3,a1)))), % 8.61/8.68 inference(scs_inference,[],[323,15,19,2,3])). % 8.61/8.68 cnf(388,plain, % 8.61/8.68 (E(a1,f6(a2,f6(a2,a1)))), % 8.61/8.68 inference(scs_inference,[],[19,2])). % 8.61/8.68 cnf(393,plain, % 8.61/8.68 (E(f6(a1,f6(a1,a1)),f6(a2,f6(a2,a1)))), % 8.61/8.68 inference(scs_inference,[],[388,34,26,2,3])). % 8.61/8.68 cnf(740,plain, % 8.61/8.68 (E(a3,f6(a1,f6(a1,a1)))), % 8.61/8.68 inference(scs_inference,[],[9,2])). % 8.61/8.68 cnf(1085,plain, % 8.61/8.68 (~E(a3,f6(a3,f6(a3,a1)))), % 8.61/8.68 inference(scs_inference,[],[14,68,3])). % 8.61/8.68 cnf(1166,plain, % 8.61/8.68 (~E(a3,f6(a2,f6(a2,a1)))), % 8.61/8.68 inference(scs_inference,[],[328,1085,3])). % 8.61/8.68 cnf(1196,plain, % 8.61/8.68 ($false), % 8.61/8.68 inference(scs_inference,[],[740,393,1166,3]), % 8.61/8.68 ['proof']). % 8.61/8.68 % SZS output end Proof % 8.61/8.68 % Total time :7.960000s %------------------------------------------------------------------------------