0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.10/0.31	% Computer   : n032.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 960
0.10/0.31	% WCLimit    : 120
0.10/0.31	% DateTime   : Thu Jul  2 07:42:34 EDT 2020
0.10/0.31	% CPUTime    : 
0.15/0.48	% SZS status Theorem
0.15/0.48	
0.15/0.48	% SZS output start Proof
0.15/0.48	Take the following subset of the input axioms:
0.15/0.49	  fof(ax0, axiom, constr_CONST_0x30!=constr_CONST_1).
0.15/0.49	  fof(ax1, axiom, constr_CONST_2!=constr_CONST_0x30).
0.15/0.49	  fof(ax10, axiom, name_skB!=constr_CONST_0x30).
0.15/0.49	  fof(ax11, axiom, constr_CONST_0x30!=name_skS).
0.15/0.49	  fof(ax12, axiom, constr_CONST_2!=constr_CONST_1).
0.15/0.49	  fof(ax13, axiom, constr_CONST_1!=constr_CONST_3).
0.15/0.49	  fof(ax14, axiom, constr_CONST_1!=constr_CONST_4).
0.15/0.49	  fof(ax15, axiom, name_A!=constr_CONST_1).
0.15/0.49	  fof(ax16, axiom, name_B!=constr_CONST_1).
0.15/0.49	  fof(ax17, axiom, constr_CONST_1!=name_I).
0.15/0.49	  fof(ax18, axiom, constr_CONST_1!=name_c).
0.15/0.49	  fof(ax19, axiom, constr_CONST_1!=name_objective).
0.15/0.49	  fof(ax2, axiom, constr_CONST_3!=constr_CONST_0x30).
0.15/0.49	  fof(ax20, axiom, name_skA!=constr_CONST_1).
0.15/0.49	  fof(ax21, axiom, name_skB!=constr_CONST_1).
0.15/0.49	  fof(ax22, axiom, name_skS!=constr_CONST_1).
0.15/0.49	  fof(ax23, axiom, constr_CONST_3!=constr_CONST_2).
0.15/0.49	  fof(ax24, axiom, constr_CONST_2!=constr_CONST_4).
0.15/0.49	  fof(ax25, axiom, constr_CONST_2!=name_A).
0.15/0.49	  fof(ax26, axiom, name_B!=constr_CONST_2).
0.15/0.49	  fof(ax27, axiom, name_I!=constr_CONST_2).
0.15/0.49	  fof(ax28, axiom, name_c!=constr_CONST_2).
0.15/0.49	  fof(ax29, axiom, constr_CONST_2!=name_objective).
0.15/0.49	  fof(ax3, axiom, constr_CONST_4!=constr_CONST_0x30).
0.15/0.49	  fof(ax30, axiom, name_skA!=constr_CONST_2).
0.15/0.49	  fof(ax31, axiom, constr_CONST_2!=name_skB).
0.15/0.49	  fof(ax32, axiom, constr_CONST_2!=name_skS).
0.15/0.49	  fof(ax33, axiom, constr_CONST_4!=constr_CONST_3).
0.15/0.49	  fof(ax34, axiom, constr_CONST_3!=name_A).
0.15/0.49	  fof(ax35, axiom, constr_CONST_3!=name_B).
0.15/0.49	  fof(ax36, axiom, constr_CONST_3!=name_I).
0.15/0.49	  fof(ax37, axiom, constr_CONST_3!=name_c).
0.15/0.49	  fof(ax38, axiom, constr_CONST_3!=name_objective).
0.15/0.49	  fof(ax39, axiom, name_skA!=constr_CONST_3).
0.15/0.49	  fof(ax4, axiom, constr_CONST_0x30!=name_A).
0.15/0.49	  fof(ax40, axiom, constr_CONST_3!=name_skB).
0.15/0.49	  fof(ax41, axiom, constr_CONST_3!=name_skS).
0.15/0.49	  fof(ax42, axiom, name_A!=constr_CONST_4).
0.15/0.49	  fof(ax43, axiom, constr_CONST_4!=name_B).
0.15/0.49	  fof(ax44, axiom, constr_CONST_4!=name_I).
0.15/0.49	  fof(ax45, axiom, name_c!=constr_CONST_4).
0.15/0.49	  fof(ax46, axiom, name_objective!=constr_CONST_4).
0.15/0.49	  fof(ax47, axiom, name_skA!=constr_CONST_4).
0.15/0.49	  fof(ax48, axiom, constr_CONST_4!=name_skB).
0.15/0.49	  fof(ax49, axiom, constr_CONST_4!=name_skS).
0.15/0.49	  fof(ax5, axiom, constr_CONST_0x30!=name_B).
0.15/0.49	  fof(ax50, axiom, name_B!=name_A).
0.15/0.49	  fof(ax51, axiom, name_I!=name_A).
0.15/0.49	  fof(ax52, axiom, name_c!=name_A).
0.15/0.49	  fof(ax53, axiom, name_objective!=name_A).
0.15/0.49	  fof(ax54, axiom, name_A!=name_skA).
0.15/0.49	  fof(ax55, axiom, name_A!=name_skB).
0.15/0.49	  fof(ax56, axiom, name_A!=name_skS).
0.15/0.49	  fof(ax57, axiom, name_I!=name_B).
0.15/0.49	  fof(ax58, axiom, name_B!=name_c).
0.15/0.49	  fof(ax59, axiom, name_B!=name_objective).
0.15/0.49	  fof(ax6, axiom, constr_CONST_0x30!=name_I).
0.15/0.49	  fof(ax60, axiom, name_B!=name_skA).
0.15/0.49	  fof(ax61, axiom, name_B!=name_skB).
0.15/0.49	  fof(ax62, axiom, name_B!=name_skS).
0.15/0.49	  fof(ax63, axiom, name_c!=name_I).
0.15/0.49	  fof(ax64, axiom, name_objective!=name_I).
0.15/0.49	  fof(ax65, axiom, name_I!=name_skA).
0.15/0.49	  fof(ax66, axiom, name_I!=name_skB).
0.15/0.49	  fof(ax67, axiom, name_skS!=name_I).
0.15/0.49	  fof(ax68, axiom, name_c!=name_objective).
0.15/0.49	  fof(ax69, axiom, name_skA!=name_c).
0.15/0.49	  fof(ax7, axiom, name_c!=constr_CONST_0x30).
0.15/0.49	  fof(ax70, axiom, name_c!=name_skB).
0.15/0.49	  fof(ax71, axiom, name_skS!=name_c).
0.15/0.49	  fof(ax72, axiom, name_objective!=name_skA).
0.15/0.49	  fof(ax73, axiom, name_skB!=name_objective).
0.15/0.49	  fof(ax74, axiom, name_skS!=name_objective).
0.15/0.49	  fof(ax75, axiom, name_skB!=name_skA).
0.15/0.49	  fof(ax76, axiom, name_skA!=name_skS).
0.15/0.49	  fof(ax77, axiom, name_skB!=name_skS).
0.15/0.49	  fof(ax8, axiom, name_objective!=constr_CONST_0x30).
0.15/0.49	  fof(ax82, axiom, ![VAR_X_17, VAR_Y_18, VAR_Z_0X30]: tuple_assoc_pair(tuple_assoc_pair(VAR_X_17, VAR_Y_18), VAR_Z_0X30)=tuple_assoc_pair(VAR_X_17, tuple_assoc_pair(VAR_Y_18, VAR_Z_0X30))).
0.15/0.49	  fof(ax84, axiom, ![VAR_X0X30_13, VAR_X1_14]: VAR_X0X30_13=constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(VAR_X0X30_13, VAR_X1_14))).
0.15/0.49	  fof(ax85, axiom, ![VAR_X0X30_11, VAR_X1_12]: VAR_X1_12=constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11, VAR_X1_12))).
0.15/0.49	  fof(ax9, axiom, name_skA!=constr_CONST_0x30).
0.15/0.49	  fof(co0, conjecture, ![VAR_V_711]: pred_attacker(tuple_2(name_Nb(VAR_V_711), name_objective))).
0.15/0.49	
0.15/0.49	Now clausify the problem and encode Horn clauses using encoding 3 of
0.15/0.49	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
0.15/0.49	We repeatedly replace C & s=t => u=v by the two clauses:
0.15/0.49	  fresh(y, y, x1...xn) = u
0.15/0.49	  C => fresh(s, t, x1...xn) = v
0.15/0.49	where fresh is a fresh function symbol and x1..xn are the free
0.15/0.49	variables of u and v.
0.15/0.49	A predicate p(X) is encoded as p(X)=true (this is sound, because the
0.15/0.49	input problem has no model of domain size 1).
0.15/0.49	
0.15/0.49	The encoding turns the above axioms into the following unit equations and goals:
0.15/0.49	
0.15/0.49	Axiom 1 (ax85): X = constr_assoc_pair_2_get_1(tuple_assoc_pair(Y, X)).
0.15/0.49	Axiom 2 (ax82): tuple_assoc_pair(tuple_assoc_pair(X, Y), Z) = tuple_assoc_pair(X, tuple_assoc_pair(Y, Z)).
0.15/0.49	Axiom 3 (ax84): X = constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(X, Y)).
0.15/0.49	
0.15/0.49	Lemma 4: tuple_assoc_pair(X, Z) = Z.
0.15/0.49	Proof:
0.15/0.49	  tuple_assoc_pair(X, Z)
0.15/0.49	= { by axiom 1 (ax85) }
0.15/0.49	  constr_assoc_pair_2_get_1(tuple_assoc_pair(?, tuple_assoc_pair(X, Z)))
0.15/0.49	= { by axiom 2 (ax82) }
0.15/0.49	  constr_assoc_pair_2_get_1(tuple_assoc_pair(tuple_assoc_pair(?, X), Z))
0.15/0.49	= { by axiom 1 (ax85) }
0.15/0.49	  Z
0.15/0.49	
0.15/0.49	Lemma 5: Y = ?.
0.15/0.49	Proof:
0.15/0.49	  Y
0.15/0.49	= { by axiom 3 (ax84) }
0.15/0.49	  constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(Y, X))
0.15/0.49	= { by lemma 4 }
0.15/0.49	  constr_assoc_pair_2_get_0x30_bitstring(X)
0.15/0.49	= { by lemma 4 }
0.15/0.49	  constr_assoc_pair_2_get_0x30_bitstring(tuple_assoc_pair(?, X))
0.15/0.49	= { by axiom 3 (ax84) }
0.15/0.49	  ?
0.15/0.49	
0.15/0.49	Goal 1 (co0): pred_attacker(tuple_2(name_Nb(sK1_co0_VAR_V_711), name_objective)) = true.
0.15/0.49	Proof:
0.15/0.49	  pred_attacker(tuple_2(name_Nb(sK1_co0_VAR_V_711), name_objective))
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  true
0.15/0.49	
0.15/0.49	Goal 2 (ax19): constr_CONST_1 = name_objective.
0.15/0.49	Proof:
0.15/0.49	  constr_CONST_1
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_objective
0.15/0.49	
0.15/0.49	Goal 3 (ax20): name_skA = constr_CONST_1.
0.15/0.49	Proof:
0.15/0.49	  name_skA
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  constr_CONST_1
0.15/0.49	
0.15/0.49	Goal 4 (ax2): constr_CONST_3 = constr_CONST_0x30.
0.15/0.49	Proof:
0.15/0.49	  constr_CONST_3
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  constr_CONST_0x30
0.15/0.49	
0.15/0.49	Goal 5 (ax57): name_I = name_B.
0.15/0.49	Proof:
0.15/0.49	  name_I
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_B
0.15/0.49	
0.15/0.49	Goal 6 (ax6): constr_CONST_0x30 = name_I.
0.15/0.49	Proof:
0.15/0.49	  constr_CONST_0x30
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_I
0.15/0.49	
0.15/0.49	Goal 7 (ax53): name_objective = name_A.
0.15/0.49	Proof:
0.15/0.49	  name_objective
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_A
0.15/0.49	
0.15/0.49	Goal 8 (ax60): name_B = name_skA.
0.15/0.49	Proof:
0.15/0.49	  name_B
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_skA
0.15/0.49	
0.15/0.49	Goal 9 (ax24): constr_CONST_2 = constr_CONST_4.
0.15/0.49	Proof:
0.15/0.49	  constr_CONST_2
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  constr_CONST_4
0.15/0.49	
0.15/0.49	Goal 10 (ax8): name_objective = constr_CONST_0x30.
0.15/0.49	Proof:
0.15/0.49	  name_objective
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  constr_CONST_0x30
0.15/0.49	
0.15/0.49	Goal 11 (ax26): name_B = constr_CONST_2.
0.15/0.49	Proof:
0.15/0.49	  name_B
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  constr_CONST_2
0.15/0.49	
0.15/0.49	Goal 12 (ax67): name_skS = name_I.
0.15/0.49	Proof:
0.15/0.49	  name_skS
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_I
0.15/0.49	
0.15/0.49	Goal 13 (ax3): constr_CONST_4 = constr_CONST_0x30.
0.15/0.49	Proof:
0.15/0.49	  constr_CONST_4
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  constr_CONST_0x30
0.15/0.49	
0.15/0.49	Goal 14 (ax31): constr_CONST_2 = name_skB.
0.15/0.49	Proof:
0.15/0.49	  constr_CONST_2
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_skB
0.15/0.49	
0.15/0.49	Goal 15 (ax46): name_objective = constr_CONST_4.
0.15/0.49	Proof:
0.15/0.49	  name_objective
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  constr_CONST_4
0.15/0.49	
0.15/0.49	Goal 16 (ax55): name_A = name_skB.
0.15/0.49	Proof:
0.15/0.49	  name_A
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_skB
0.15/0.49	
0.15/0.49	Goal 17 (ax58): name_B = name_c.
0.15/0.49	Proof:
0.15/0.49	  name_B
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_c
0.15/0.49	
0.15/0.49	Goal 18 (ax76): name_skA = name_skS.
0.15/0.49	Proof:
0.15/0.49	  name_skA
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_skS
0.15/0.49	
0.15/0.49	Goal 19 (ax66): name_I = name_skB.
0.15/0.49	Proof:
0.15/0.49	  name_I
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_skB
0.15/0.49	
0.15/0.49	Goal 20 (ax63): name_c = name_I.
0.15/0.49	Proof:
0.15/0.49	  name_c
0.15/0.49	= { by lemma 5 }
0.15/0.49	  ?
0.15/0.49	= { by lemma 5 }
0.15/0.49	  name_I
0.15/0.49	
0.15/0.49	Goal 21 (ax32): constr_CONST_2 = name_skS.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_2
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skS
0.15/0.50	
0.15/0.50	Goal 22 (ax21): name_skB = constr_CONST_1.
0.15/0.50	Proof:
0.15/0.50	  name_skB
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_1
0.15/0.50	
0.15/0.50	Goal 23 (ax4): constr_CONST_0x30 = name_A.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_0x30
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_A
0.15/0.50	
0.15/0.50	Goal 24 (ax12): constr_CONST_2 = constr_CONST_1.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_2
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_1
0.15/0.50	
0.15/0.50	Goal 25 (ax30): name_skA = constr_CONST_2.
0.15/0.50	Proof:
0.15/0.50	  name_skA
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_2
0.15/0.50	
0.15/0.50	Goal 26 (ax17): constr_CONST_1 = name_I.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_1
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_I
0.15/0.50	
0.15/0.50	Goal 27 (ax18): constr_CONST_1 = name_c.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_1
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_c
0.15/0.50	
0.15/0.50	Goal 28 (ax11): constr_CONST_0x30 = name_skS.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_0x30
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skS
0.15/0.50	
0.15/0.50	Goal 29 (ax77): name_skB = name_skS.
0.15/0.50	Proof:
0.15/0.50	  name_skB
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skS
0.15/0.50	
0.15/0.50	Goal 30 (ax22): name_skS = constr_CONST_1.
0.15/0.50	Proof:
0.15/0.50	  name_skS
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_1
0.15/0.50	
0.15/0.50	Goal 31 (ax68): name_c = name_objective.
0.15/0.50	Proof:
0.15/0.50	  name_c
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_objective
0.15/0.50	
0.15/0.50	Goal 32 (ax54): name_A = name_skA.
0.15/0.50	Proof:
0.15/0.50	  name_A
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skA
0.15/0.50	
0.15/0.50	Goal 33 (ax1): constr_CONST_2 = constr_CONST_0x30.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_2
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_0x30
0.15/0.50	
0.15/0.50	Goal 34 (ax41): constr_CONST_3 = name_skS.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_3
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skS
0.15/0.50	
0.15/0.50	Goal 35 (ax16): name_B = constr_CONST_1.
0.15/0.50	Proof:
0.15/0.50	  name_B
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_1
0.15/0.50	
0.15/0.50	Goal 36 (ax15): name_A = constr_CONST_1.
0.15/0.50	Proof:
0.15/0.50	  name_A
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_1
0.15/0.50	
0.15/0.50	Goal 37 (ax49): constr_CONST_4 = name_skS.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_4
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skS
0.15/0.50	
0.15/0.50	Goal 38 (ax36): constr_CONST_3 = name_I.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_3
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_I
0.15/0.50	
0.15/0.50	Goal 39 (ax45): name_c = constr_CONST_4.
0.15/0.50	Proof:
0.15/0.50	  name_c
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_4
0.15/0.50	
0.15/0.50	Goal 40 (ax56): name_A = name_skS.
0.15/0.50	Proof:
0.15/0.50	  name_A
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skS
0.15/0.50	
0.15/0.50	Goal 41 (ax75): name_skB = name_skA.
0.15/0.50	Proof:
0.15/0.50	  name_skB
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skA
0.15/0.50	
0.15/0.50	Goal 42 (ax42): name_A = constr_CONST_4.
0.15/0.50	Proof:
0.15/0.50	  name_A
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_4
0.15/0.50	
0.15/0.50	Goal 43 (ax13): constr_CONST_1 = constr_CONST_3.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_1
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_3
0.15/0.50	
0.15/0.50	Goal 44 (ax69): name_skA = name_c.
0.15/0.50	Proof:
0.15/0.50	  name_skA
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_c
0.15/0.50	
0.15/0.50	Goal 45 (ax33): constr_CONST_4 = constr_CONST_3.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_4
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_3
0.15/0.50	
0.15/0.50	Goal 46 (ax5): constr_CONST_0x30 = name_B.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_0x30
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_B
0.15/0.50	
0.15/0.50	Goal 47 (ax72): name_objective = name_skA.
0.15/0.50	Proof:
0.15/0.50	  name_objective
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skA
0.15/0.50	
0.15/0.50	Goal 48 (ax73): name_skB = name_objective.
0.15/0.50	Proof:
0.15/0.50	  name_skB
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_objective
0.15/0.50	
0.15/0.50	Goal 49 (ax61): name_B = name_skB.
0.15/0.50	Proof:
0.15/0.50	  name_B
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skB
0.15/0.50	
0.15/0.50	Goal 50 (ax35): constr_CONST_3 = name_B.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_3
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_B
0.15/0.50	
0.15/0.50	Goal 51 (ax14): constr_CONST_1 = constr_CONST_4.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_1
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_4
0.15/0.50	
0.15/0.50	Goal 52 (ax29): constr_CONST_2 = name_objective.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_2
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_objective
0.15/0.50	
0.15/0.50	Goal 53 (ax62): name_B = name_skS.
0.15/0.50	Proof:
0.15/0.50	  name_B
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skS
0.15/0.50	
0.15/0.50	Goal 54 (ax28): name_c = constr_CONST_2.
0.15/0.50	Proof:
0.15/0.50	  name_c
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_2
0.15/0.50	
0.15/0.50	Goal 55 (ax25): constr_CONST_2 = name_A.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_2
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_A
0.15/0.50	
0.15/0.50	Goal 56 (ax44): constr_CONST_4 = name_I.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_4
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_I
0.15/0.50	
0.15/0.50	Goal 57 (ax27): name_I = constr_CONST_2.
0.15/0.50	Proof:
0.15/0.50	  name_I
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_2
0.15/0.50	
0.15/0.50	Goal 58 (ax47): name_skA = constr_CONST_4.
0.15/0.50	Proof:
0.15/0.50	  name_skA
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_4
0.15/0.50	
0.15/0.50	Goal 59 (ax39): name_skA = constr_CONST_3.
0.15/0.50	Proof:
0.15/0.50	  name_skA
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_3
0.15/0.50	
0.15/0.50	Goal 60 (ax37): constr_CONST_3 = name_c.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_3
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_c
0.15/0.50	
0.15/0.50	Goal 61 (ax52): name_c = name_A.
0.15/0.50	Proof:
0.15/0.50	  name_c
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_A
0.15/0.50	
0.15/0.50	Goal 62 (ax74): name_skS = name_objective.
0.15/0.50	Proof:
0.15/0.50	  name_skS
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_objective
0.15/0.50	
0.15/0.50	Goal 63 (ax23): constr_CONST_3 = constr_CONST_2.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_3
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_2
0.15/0.50	
0.15/0.50	Goal 64 (ax51): name_I = name_A.
0.15/0.50	Proof:
0.15/0.50	  name_I
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_A
0.15/0.50	
0.15/0.50	Goal 65 (ax65): name_I = name_skA.
0.15/0.50	Proof:
0.15/0.50	  name_I
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skA
0.15/0.50	
0.15/0.50	Goal 66 (ax7): name_c = constr_CONST_0x30.
0.15/0.50	Proof:
0.15/0.50	  name_c
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_0x30
0.15/0.50	
0.15/0.50	Goal 67 (ax43): constr_CONST_4 = name_B.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_4
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_B
0.15/0.50	
0.15/0.50	Goal 68 (ax64): name_objective = name_I.
0.15/0.50	Proof:
0.15/0.50	  name_objective
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_I
0.15/0.50	
0.15/0.50	Goal 69 (ax50): name_B = name_A.
0.15/0.50	Proof:
0.15/0.50	  name_B
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_A
0.15/0.50	
0.15/0.50	Goal 70 (ax71): name_skS = name_c.
0.15/0.50	Proof:
0.15/0.50	  name_skS
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_c
0.15/0.50	
0.15/0.50	Goal 71 (ax9): name_skA = constr_CONST_0x30.
0.15/0.50	Proof:
0.15/0.50	  name_skA
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_0x30
0.15/0.50	
0.15/0.50	Goal 72 (ax38): constr_CONST_3 = name_objective.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_3
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_objective
0.15/0.50	
0.15/0.50	Goal 73 (ax34): constr_CONST_3 = name_A.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_3
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_A
0.15/0.50	
0.15/0.50	Goal 74 (ax0): constr_CONST_0x30 = constr_CONST_1.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_0x30
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_1
0.15/0.50	
0.15/0.50	Goal 75 (ax59): name_B = name_objective.
0.15/0.50	Proof:
0.15/0.50	  name_B
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_objective
0.15/0.50	
0.15/0.50	Goal 76 (ax40): constr_CONST_3 = name_skB.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_3
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skB
0.15/0.50	
0.15/0.50	Goal 77 (ax10): name_skB = constr_CONST_0x30.
0.15/0.50	Proof:
0.15/0.50	  name_skB
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  constr_CONST_0x30
0.15/0.50	
0.15/0.50	Goal 78 (ax70): name_c = name_skB.
0.15/0.50	Proof:
0.15/0.50	  name_c
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skB
0.15/0.50	
0.15/0.50	Goal 79 (ax48): constr_CONST_4 = name_skB.
0.15/0.50	Proof:
0.15/0.50	  constr_CONST_4
0.15/0.50	= { by lemma 5 }
0.15/0.50	  ?
0.15/0.50	= { by lemma 5 }
0.15/0.50	  name_skB
0.15/0.50	% SZS output end Proof
0.15/0.50	
0.15/0.50	RESULT: Theorem (the conjecture is true).
0.15/0.51	EOF