0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : twee %s --tstp --casc --quiet --explain-encoding --conditional-encoding if --smaller --drop-non-horn
0.12/0.33	% Computer   : n027.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 960
0.12/0.33	% WCLimit    : 120
0.12/0.33	% DateTime   : Thu Jul  2 08:04:01 EDT 2020
0.12/0.34	% CPUTime    : 
43.09/5.84	% SZS status Theorem
43.09/5.84	
43.09/5.84	% SZS output start Proof
43.09/5.84	Take the following subset of the input axioms:
43.09/5.85	  fof(thm_2Ebool_2EEQ__CLAUSES, axiom, ![V0t_2E0]: ((p(s(tyop_2Emin_2Ebool, V0t_2E0)) <=> s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)=s(tyop_2Emin_2Ebool, V0t_2E0)) & ((~p(s(tyop_2Emin_2Ebool, V0t_2E0)) <=> s(tyop_2Emin_2Ebool, V0t_2E0)=s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) & ((s(tyop_2Emin_2Ebool, V0t_2E0)=s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) <=> ~p(s(tyop_2Emin_2Ebool, V0t_2E0))) & (s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)=s(tyop_2Emin_2Ebool, V0t_2E0) <=> p(s(tyop_2Emin_2Ebool, V0t_2E0))))))).
43.09/5.85	  fof(thm_2Ebool_2Ebool__case__thm, axiom, ![A_27a]: (![V2t1_2E0, V3t2_2E0]: s(A_27a, V3t2_2E0)=s(A_27a, c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0), s(A_27a, V2t1_2E0), s(A_27a, V3t2_2E0))) & ![V0t1_2E0, V1t2_2E0]: s(A_27a, c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0), s(A_27a, V0t1_2E0), s(A_27a, V1t2_2E0)))=s(A_27a, V0t1_2E0))).
43.09/5.85	  fof(thm_2Ewords_2EWORD__LITERAL__ADD, axiom, ![A_27a, A_27b]: (![V0m_2E0, V1n_2E0]: s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, V0m_2E0))))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, V1n_2E0)))))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum, V0m_2E0), s(tyop_2Enum_2Enum, V1n_2E0))))))) & ![V2m_2E0, V3n_2E0]: s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27b), c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool, c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum, V3n_2E0), s(tyop_2Enum_2Enum, V2m_2E0))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27b), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, V2m_2E0), s(tyop_2Enum_2Enum, V3n_2E0))))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27b), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27b), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, V3n_2E0), s(tyop_2Enum_2Enum, V2m_2E0)))))))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27b), c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27b), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, V2m_2E0))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27b), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27b), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, V3n_2E0))))))))).
43.09/5.85	  fof(thm_2Ewords_2En2w__sub, conjecture, ![A_27a, V0a_2E0, V1b_2E0]: (s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, V0a_2E0), s(tyop_2Enum_2Enum, V1b_2E0)))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, V0a_2E0))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, V1b_2E0))))) <= p(s(tyop_2Emin_2Ebool, c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum, V1b_2E0), s(tyop_2Enum_2Enum, V0a_2E0)))))).
43.09/5.85	  fof(thm_2Ewords_2Eword__sub__def, axiom, ![A_27a, V0v_2E0, V1w_2E0]: s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), V0v_2E0), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), V1w_2E0)))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), V0v_2E0), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, A_27a), V1w_2E0)))))).
43.09/5.85	
43.09/5.85	Now clausify the problem and encode Horn clauses using encoding 3 of
43.09/5.85	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
43.09/5.85	We repeatedly replace C & s=t => u=v by the two clauses:
43.09/5.85	  fresh(y, y, x1...xn) = u
43.09/5.85	  C => fresh(s, t, x1...xn) = v
43.09/5.85	where fresh is a fresh function symbol and x1..xn are the free
43.09/5.85	variables of u and v.
43.09/5.85	A predicate p(X) is encoded as p(X)=true (this is sound, because the
43.09/5.85	input problem has no model of domain size 1).
43.09/5.85	
43.09/5.85	The encoding turns the above axioms into the following unit equations and goals:
43.09/5.85	
43.09/5.85	Axiom 1 (thm_2Ebool_2ECOND__CONG): fresh46(X, X, Y, Z, W, V, U, T, S) = s(Y, c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool, Z), s(Y, V), s(Y, T))).
43.09/5.85	Axiom 2 (thm_2Ebool_2ECOND__CONG_1): fresh48(X, X, Y, Z, W, V, U, T, S) = s(Y, c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool, Z), s(Y, V), s(Y, T))).
43.09/5.85	Axiom 3 (thm_2Ebool_2EEQ__CLAUSES_7): fresh6(X, X, Y) = s(tyop_2Emin_2Ebool, Y).
43.09/5.85	Axiom 4 (thm_2Ebool_2EIMP__CLAUSES_7): fresh3(X, X, Y) = p(s(tyop_2Emin_2Ebool, Y)).
43.09/5.85	Axiom 5 (thm_2Ewords_2EWORD__LITERAL__ADD_1): s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool, c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum, Y), s(tyop_2Enum_2Enum, Z))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, Z), s(tyop_2Enum_2Enum, Y))))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, Y), s(tyop_2Enum_2Enum, Z))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, Z))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, Y))))))).
43.09/5.85	Axiom 6 (thm_2Ebool_2Ebool__case__thm_1): s(X, c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0), s(X, Y), s(X, Z))) = s(X, Y).
43.09/5.85	Axiom 7 (thm_2Ebool_2EEQ__CLAUSES_7): fresh6(p(s(tyop_2Emin_2Ebool, X)), true2, X) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0).
43.09/5.85	Axiom 8 (thm_2Ewords_2Eword__sub__def): s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), Y), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), Z))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), Y), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, X), Z))))).
43.09/5.85	Axiom 9 (thm_2Ewords_2En2w__sub): p(s(tyop_2Emin_2Ebool, c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0), s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0)))) = true2.
43.09/5.85	
43.09/5.85	Goal 1 (thm_2Ewords_2En2w__sub_1): s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0), s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0))))).
43.09/5.85	Proof:
43.09/5.85	  s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0), s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0)))))
43.09/5.85	= { by axiom 6 (thm_2Ebool_2Ebool__case__thm_1) }
43.09/5.85	  s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0), s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0))))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0), s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0)))))))))
43.09/5.85	= { by axiom 7 (thm_2Ebool_2EEQ__CLAUSES_7) }
43.09/5.85	  s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ebool_2ECOND_2E3(fresh6(p(s(tyop_2Emin_2Ebool, c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0), s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0)))), true2, c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0), s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0), s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0))))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0), s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0)))))))))
43.09/5.85	= { by axiom 9 (thm_2Ewords_2En2w__sub) }
43.09/5.85	  s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ebool_2ECOND_2E3(fresh6(true2, true2, c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0), s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0), s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0))))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0), s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0)))))))))
43.09/5.85	= { by axiom 3 (thm_2Ebool_2EEQ__CLAUSES_7) }
43.09/5.85	  s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool, c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0), s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0), s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0))))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0), s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0)))))))))
43.09/5.85	= { by axiom 5 (thm_2Ewords_2EWORD__LITERAL__ADD_1) }
43.09/5.85	  s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0)))))))
43.09/5.85	= { by axiom 8 (thm_2Ewords_2Eword__sub__def) }
43.09/5.85	  s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, sK6_thm_2Ewords_2En2w__sub_V0a_2E0))), s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool, sK4_thm_2Ewords_2En2w__sub_A_27a), c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum, sK5_thm_2Ewords_2En2w__sub_V1b_2E0)))))
43.09/5.85	% SZS output end Proof
43.09/5.85	
43.09/5.85	RESULT: Theorem (the conjecture is true).
43.09/5.86	EOF