%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG384-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 : Wed Jun 3 08:05:53 AM UTC 2026 % Result : Unsatisfiable 0.48s 0.89s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG384-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n004.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:09:52 EDT 2026 % 0.16/0.35 % CPUTime : % 0.39/0.63 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.48/0.89 % SZS status Unsatisfiable % 0.48/0.89 % SZS output start Proof % 0.48/0.90 ( % 0.48/0.90 (declare-sort $$unsorted 0) % 0.48/0.90 (declare-const tptp.v_c____ $$unsorted) % 0.48/0.90 (declare-const tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1 $$unsorted) % 0.48/0.90 (declare-const tptp.c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1 (-> $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1 $$unsorted) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.48/0.90 (declare-const tptp.c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Oabs__if (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_HOL_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_RealVector_Oreal__algebra (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Opordered__ring__abs (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_SEQ_Obanach (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_RealVector_Ometric__space (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_HOL_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_Transcendental_Oexp (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_Deriv_Osko__Deriv__Xlemma__interval__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_RealDef_Oreal__of__preal (-> $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_RealVector_OscaleR__class_OscaleR (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_RealVector_Oreal__vector (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_Transcendental_Opi $$unsorted) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Odivision__ring (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_HOL_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Osgn__if (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_NthRoot_Oroot (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.tc_nat $$unsorted) % 0.48/0.90 (declare-const tptp.c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1 $$unsorted) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_RealVector_Odist__class_Odist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_NthRoot_Osqrt (-> $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.class_Ring__and__Field_Olordered__ring (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.48/0.90 (declare-const tptp.c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.90 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 0.48/0.90 (define @t1 () (@var "V_r" $$unsorted)) % 0.48/0.90 (define @t2 () (tptp.c_HOL_Oabs__class_Oabs @t1 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t3 () (@list @t1)) % 0.48/0.90 (define @t4 () (@var "T_a" $$unsorted)) % 0.48/0.90 (define @t5 () (tptp.c_HOL_Ozero__class_Ozero @t4)) % 0.48/0.90 (define @t6 () (@var "V_b" $$unsorted)) % 0.48/0.90 (define @t7 () (@var "V_a" $$unsorted)) % 0.48/0.90 (define @t8 () (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t5 @t4)) % 0.48/0.90 (define @t9 () (not (tptp.class_RealVector_Oreal__vector @t4))) % 0.48/0.90 (define @t10 () (@list @t4 @t7 @t6)) % 0.48/0.90 (define @t11 () (= @t7 @t5)) % 0.48/0.90 (define @t12 () (tptp.c_HOL_Oabs__class_Oabs @t7 @t4)) % 0.48/0.90 (define @t13 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t4))) % 0.48/0.90 (define @t14 () (@list @t4 @t7)) % 0.48/0.90 (define @t15 () (tptp.c_HOL_Oinverse__class_Oinverse @t7 @t4)) % 0.48/0.90 (define @t16 () (not (= @t15 @t5))) % 0.48/0.90 (define @t17 () (not (tptp.class_Ring__and__Field_Odivision__ring @t4))) % 0.48/0.90 (define @t18 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t4))) % 0.48/0.90 (define @t19 () (tptp.c_HOL_Osgn__class_Osgn @t5 @t4)) % 0.48/0.90 (define @t20 () (= @t19 @t5)) % 0.48/0.90 (define @t21 () (not (tptp.class_Ring__and__Field_Oordered__idom @t4))) % 0.48/0.90 (define @t22 () (@list @t4)) % 0.48/0.90 (define @t23 () (not (tptp.class_RealVector_Oreal__normed__vector @t4))) % 0.48/0.90 (define @t24 () (= (tptp.c_HOL_Otimes__class_Otimes @t7 @t5 @t4) @t5)) % 0.48/0.90 (define @t25 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t4))) % 0.48/0.90 (define @t26 () (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t6 @t4) @t5)) % 0.48/0.90 (define @t27 () (@list @t4 @t6)) % 0.48/0.90 (define @t28 () (not (tptp.class_Ring__and__Field_Omult__zero @t4))) % 0.48/0.90 (define @t29 () (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t7 @t4) @t5)) % 0.48/0.90 (define @t30 () (@var "V_x" $$unsorted)) % 0.48/0.90 (define @t31 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t4))) % 0.48/0.90 (define @t32 () (@list @t4 @t30)) % 0.48/0.90 (define @t33 () (not (tptp.class_RealVector_Oreal__normed__algebra @t4))) % 0.48/0.90 (define @t34 () (@var "V_y" $$unsorted)) % 0.48/0.90 (define @t35 () (@list @t4 @t34)) % 0.48/0.90 (define @t36 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t15 @t4) @t7)) % 0.48/0.90 (define @t37 () (not (tptp.class_Ring__and__Field_Ofield @t4))) % 0.48/0.90 (define @t38 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t5 @t4) @t5)) % 0.48/0.90 (define @t39 () (= @t6 @t5)) % 0.48/0.90 (define @t40 () (= @t7 @t6)) % 0.48/0.90 (define @t41 () (tptp.c_HOL_Oinverse__class_Oinverse @t6 @t4)) % 0.48/0.90 (define @t42 () (not (= @t15 @t41))) % 0.48/0.90 (define @t43 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t6 @t4)) % 0.48/0.90 (define @t44 () (not (= @t43 @t5))) % 0.48/0.90 (define @t45 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t4))) % 0.48/0.90 (define @t46 () (tptp.c_HOL_Oabs__class_Oabs @t5 @t4)) % 0.48/0.90 (define @t47 () (= @t8 @t5)) % 0.48/0.90 (define @t48 () (tptp.c_HOL_Oinverse__class_Odivide @t6 @t5 @t4)) % 0.48/0.90 (define @t49 () (not (tptp.class_RealVector_Oreal__normed__field @t4))) % 0.48/0.90 (define @t50 () (tptp.c_HOL_Osgn__class_Osgn @t7 @t4)) % 0.48/0.90 (define @t51 () (= @t30 @t5)) % 0.48/0.90 (define @t52 () (tptp.c_HOL_Osgn__class_Osgn @t30 @t4)) % 0.48/0.90 (define @t53 () (not (tptp.class_SEQ_Obanach @t4))) % 0.48/0.90 (define @t54 () (tptp.c_HOL_Oord__class_Oless @t7 @t6 @t4)) % 0.48/0.90 (define @t55 () (not @t54)) % 0.48/0.90 (define @t56 () (@var "V_d" $$unsorted)) % 0.48/0.90 (define @t57 () (@var "V_c" $$unsorted)) % 0.48/0.90 (define @t58 () (not (tptp.c_lessequals @t57 @t56 @t4))) % 0.48/0.90 (define @t59 () (tptp.c_lessequals @t5 @t7 @t4)) % 0.48/0.90 (define @t60 () (not @t59)) % 0.48/0.90 (define @t61 () (tptp.c_HOL_Oord__class_Oless @t5 @t57 @t4)) % 0.48/0.90 (define @t62 () (not @t61)) % 0.48/0.90 (define @t63 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t56 @t4)) % 0.48/0.90 (define @t64 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t57 @t4)) % 0.48/0.90 (define @t65 () (tptp.c_HOL_Oord__class_Oless @t64 @t63 @t4)) % 0.48/0.90 (define @t66 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t4))) % 0.48/0.90 (define @t67 () (@list @t4 @t7 @t57 @t6 @t56)) % 0.48/0.90 (define @t68 () (tptp.c_lessequals @t7 @t6 @t4)) % 0.48/0.90 (define @t69 () (not @t68)) % 0.48/0.90 (define @t70 () (not (tptp.c_HOL_Oord__class_Oless @t57 @t56 @t4))) % 0.48/0.90 (define @t71 () (tptp.c_HOL_Oord__class_Oless @t5 @t7 @t4)) % 0.48/0.90 (define @t72 () (not @t71)) % 0.48/0.90 (define @t73 () (not (tptp.c_lessequals @t5 @t57 @t4))) % 0.48/0.90 (define @t74 () (tptp.c_HOL_Oord__class_Oless @t57 @t5 @t4)) % 0.48/0.90 (define @t75 () (not @t74)) % 0.48/0.90 (define @t76 () (tptp.c_HOL_Oord__class_Oless @t5 @t43 @t4)) % 0.48/0.90 (define @t77 () (not @t76)) % 0.48/0.90 (define @t78 () (tptp.c_HOL_Oinverse__class_Odivide @t57 @t6 @t4)) % 0.48/0.90 (define @t79 () (tptp.c_HOL_Oinverse__class_Odivide @t57 @t7 @t4)) % 0.48/0.90 (define @t80 () (tptp.c_HOL_Oord__class_Oless @t79 @t78 @t4)) % 0.48/0.90 (define @t81 () (not (tptp.class_Ring__and__Field_Oordered__field @t4))) % 0.48/0.90 (define @t82 () (@list @t4 @t57 @t7 @t6)) % 0.48/0.90 (define @t83 () (tptp.c_HOL_Oord__class_Oless @t6 @t7 @t4)) % 0.48/0.90 (define @t84 () (not @t83)) % 0.48/0.90 (define @t85 () (not (tptp.c_lessequals @t5 @t30 @t4))) % 0.48/0.90 (define @t86 () (tptp.c_lessequals @t30 @t34 @t4)) % 0.48/0.90 (define @t87 () (not @t86)) % 0.48/0.90 (define @t88 () (@var "V_w" $$unsorted)) % 0.48/0.90 (define @t89 () (not (tptp.c_HOL_Oord__class_Oless @t5 @t88 @t4))) % 0.48/0.90 (define @t90 () (@var "V_z" $$unsorted)) % 0.48/0.90 (define @t91 () (not (tptp.c_lessequals @t88 @t90 @t4))) % 0.48/0.90 (define @t92 () (tptp.c_HOL_Oinverse__class_Odivide @t34 @t88 @t4)) % 0.48/0.90 (define @t93 () (tptp.c_HOL_Oinverse__class_Odivide @t30 @t90 @t4)) % 0.48/0.90 (define @t94 () (@list @t4 @t30 @t90 @t34 @t88)) % 0.48/0.90 (define @t95 () (tptp.c_HOL_Oord__class_Oless @t64 @t6 @t4)) % 0.48/0.90 (define @t96 () (not @t95)) % 0.48/0.90 (define @t97 () (tptp.c_HOL_Oord__class_Oless @t7 @t5 @t4)) % 0.48/0.90 (define @t98 () (not @t97)) % 0.48/0.90 (define @t99 () (tptp.c_HOL_Oinverse__class_Odivide @t6 @t57 @t4)) % 0.48/0.90 (define @t100 () (tptp.c_HOL_Oord__class_Oless @t7 @t99 @t4)) % 0.48/0.90 (define @t101 () (@list @t4 @t7 @t6 @t57)) % 0.48/0.90 (define @t102 () (tptp.c_HOL_Oord__class_Oless @t6 @t64 @t4)) % 0.48/0.90 (define @t103 () (not @t102)) % 0.48/0.90 (define @t104 () (not @t100)) % 0.48/0.90 (define @t105 () (@list @t4 @t6 @t7 @t57)) % 0.48/0.90 (define @t106 () (tptp.c_HOL_Oord__class_Oless @t99 @t7 @t4)) % 0.48/0.90 (define @t107 () (@list @t4 @t6 @t57 @t7)) % 0.48/0.90 (define @t108 () (not @t106)) % 0.48/0.90 (define @t109 () (@list @t4 @t7 @t57 @t6)) % 0.48/0.90 (define @t110 () (tptp.c_HOL_Oord__class_Oless @t6 @t5 @t4)) % 0.48/0.90 (define @t111 () (not @t110)) % 0.48/0.90 (define @t112 () (tptp.c_lessequals @t41 @t15 @t4)) % 0.48/0.90 (define @t113 () (@list @t4 @t6 @t7)) % 0.48/0.90 (define @t114 () (not (tptp.c_lessequals @t15 @t41 @t4))) % 0.48/0.90 (define @t115 () (tptp.c_lessequals @t6 @t7 @t4)) % 0.48/0.90 (define @t116 () (not (tptp.c_lessequals @t30 @t5 @t4))) % 0.48/0.90 (define @t117 () (not (tptp.c_HOL_Oord__class_Oless @t34 @t5 @t4))) % 0.48/0.90 (define @t118 () (tptp.c_HOL_Oinverse__class_Odivide @t30 @t34 @t4)) % 0.48/0.90 (define @t119 () (tptp.c_lessequals @t5 @t118 @t4)) % 0.48/0.90 (define @t120 () (@list @t4 @t30 @t34)) % 0.48/0.90 (define @t121 () (not (tptp.c_HOL_Oord__class_Oless @t5 @t34 @t4))) % 0.48/0.90 (define @t122 () (tptp.c_HOL_Oord__class_Oless @t30 @t34 @t4)) % 0.48/0.90 (define @t123 () (not @t122)) % 0.48/0.90 (define @t124 () (tptp.c_HOL_Oord__class_Oless @t93 @t92 @t4)) % 0.48/0.90 (define @t125 () (tptp.c_lessequals @t118 @t5 @t4)) % 0.48/0.90 (define @t126 () (tptp.c_HOL_Otimes__class_Otimes @t90 @t34 @t4)) % 0.48/0.90 (define @t127 () (@list @t4 @t90 @t30 @t34)) % 0.48/0.90 (define @t128 () (@list @t4 @t30 @t34 @t90)) % 0.48/0.90 (define @t129 () (tptp.c_HOL_Oabs__class_Oabs @t30 @t4)) % 0.48/0.90 (define @t130 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t57 @t4)) % 0.48/0.90 (define @t131 () (tptp.c_HOL_Oord__class_Oless @t64 @t130 @t4)) % 0.48/0.90 (define @t132 () (not @t131)) % 0.48/0.90 (define @t133 () (tptp.c_HOL_Otimes__class_Otimes @t57 @t6 @t4)) % 0.48/0.90 (define @t134 () (tptp.c_HOL_Otimes__class_Otimes @t57 @t7 @t4)) % 0.48/0.90 (define @t135 () (tptp.c_HOL_Oord__class_Oless @t134 @t133 @t4)) % 0.48/0.90 (define @t136 () (not @t135)) % 0.48/0.90 (define @t137 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t4))) % 0.48/0.90 (define @t138 () (tptp.c_HOL_Oord__class_Oless @t5 @t6 @t4)) % 0.48/0.90 (define @t139 () (not @t138)) % 0.48/0.90 (define @t140 () (not (tptp.c_HOL_Oord__class_Oless @t5 @t30 @t4))) % 0.48/0.90 (define @t141 () (tptp.c_lessequals @t64 @t130 @t4)) % 0.48/0.90 (define @t142 () (tptp.c_lessequals @t134 @t133 @t4)) % 0.48/0.90 (define @t143 () (not @t142)) % 0.48/0.90 (define @t144 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t4))) % 0.48/0.90 (define @t145 () (not @t115)) % 0.48/0.90 (define @t146 () (tptp.c_lessequals @t7 @t5 @t4)) % 0.48/0.90 (define @t147 () (not @t146)) % 0.48/0.90 (define @t148 () (tptp.c_lessequals @t7 @t99 @t4)) % 0.48/0.90 (define @t149 () (not @t148)) % 0.48/0.90 (define @t150 () (tptp.c_lessequals @t99 @t7 @t4)) % 0.48/0.90 (define @t151 () (not @t150)) % 0.48/0.90 (define @t152 () (tptp.c_HOL_Oord__class_Oless @t34 @t30 @t4)) % 0.48/0.90 (define @t153 () (not @t152)) % 0.48/0.90 (define @t154 () (not (tptp.c_lessequals @t90 @t34 @t4))) % 0.48/0.90 (define @t155 () (tptp.c_HOL_Oord__class_Oless @t90 @t30 @t4)) % 0.48/0.90 (define @t156 () (not (tptp.class_Orderings_Oorder @t4))) % 0.48/0.90 (define @t157 () (tptp.c_lessequals @t34 @t30 @t4)) % 0.48/0.90 (define @t158 () (not @t157)) % 0.48/0.90 (define @t159 () (not (tptp.c_HOL_Oord__class_Oless @t90 @t34 @t4))) % 0.48/0.90 (define @t160 () (not (tptp.c_lessequals @t34 @t90 @t4))) % 0.48/0.90 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t30 @t90 @t4)) % 0.48/0.90 (define @t162 () (not (tptp.class_Orderings_Opreorder @t4))) % 0.48/0.90 (define @t163 () (@list @t4 @t30 @t90 @t34)) % 0.48/0.90 (define @t164 () (not (tptp.c_HOL_Oord__class_Oless @t34 @t90 @t4))) % 0.48/0.90 (define @t165 () (@var "V_vskULr" $$unsorted)) % 0.48/0.90 (define @t166 () (tptp.c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1 @t165 @t4)) % 0.48/0.90 (define @t167 () (@var "V_K" $$unsorted)) % 0.48/0.90 (define @t168 () (tptp.c_RealVector_Onorm__class_Onorm @t167 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t169 () (not (tptp.class_RealVector_Oreal__algebra__1 @t4))) % 0.48/0.90 (define @t170 () (@var "V_vskULo" $$unsorted)) % 0.48/0.90 (define @t171 () (tptp.c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1 @t170 @t4)) % 0.48/0.90 (define @t172 () (tptp.c_RealVector_Onorm__class_Onorm @t6 @t4)) % 0.48/0.90 (define @t173 () (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t6 @t4)) % 0.48/0.90 (define @t174 () (tptp.c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1 @t30 @t4)) % 0.48/0.90 (define @t175 () (tptp.c_RealVector_OscaleR__class_OscaleR @t6 @t30 @t4)) % 0.48/0.90 (define @t176 () (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t30 @t4)) % 0.48/0.90 (define @t177 () (tptp.c_lessequals @t6 @t64 @t4)) % 0.48/0.90 (define @t178 () (not @t177)) % 0.48/0.90 (define @t179 () (tptp.c_lessequals @t64 @t6 @t4)) % 0.48/0.90 (define @t180 () (not @t179)) % 0.48/0.90 (define @t181 () (@var "V_n" $$unsorted)) % 0.48/0.90 (define @t182 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t181 @t4)) % 0.48/0.90 (define @t183 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t4))) % 0.48/0.90 (define @t184 () (@list @t4 @t181)) % 0.48/0.90 (define @t185 () (@var "V_m" $$unsorted)) % 0.48/0.90 (define @t186 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t185 @t4)) % 0.48/0.90 (define @t187 () (@list @t4 @t185)) % 0.48/0.90 (define @t188 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t189 () (tptp.c_RealVector_Odist__class_Odist @t30 @t34 @t4)) % 0.48/0.90 (define @t190 () (= @t30 @t34)) % 0.48/0.90 (define @t191 () (not (tptp.class_RealVector_Ometric__space @t4))) % 0.48/0.90 (define @t192 () (tptp.c_HOL_Otimes__class_Otimes @t30 @t90 @t4)) % 0.48/0.90 (define @t193 () (= @t57 @t5)) % 0.48/0.90 (define @t194 () (tptp.c_HOL_Oinverse__class_Odivide @t7 @t6 @t4)) % 0.48/0.90 (define @t195 () (tptp.c_HOL_Oabs__class_Oabs @t6 @t4)) % 0.48/0.90 (define @t196 () (= (tptp.c_HOL_Oabs__class_Oabs @t194 @t4) (tptp.c_HOL_Oinverse__class_Odivide @t12 @t195 @t4))) % 0.48/0.90 (define @t197 () (= (tptp.c_HOL_Oabs__class_Oabs @t15 @t4) (tptp.c_HOL_Oinverse__class_Oinverse @t12 @t4))) % 0.48/0.90 (define @t198 () (tptp.c_lessequals @t30 @t188 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t199 () (tptp.c_NthRoot_Osqrt @t30)) % 0.48/0.90 (define @t200 () (tptp.c_lessequals @t199 @t188 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t201 () (@list @t30)) % 0.48/0.90 (define @t202 () (tptp.c_lessequals @t15 @t5 @t4)) % 0.48/0.90 (define @t203 () (tptp.c_NthRoot_Osqrt @t34)) % 0.48/0.90 (define @t204 () (tptp.c_HOL_Otimes__class_Otimes @t30 @t34 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t205 () (@list @t30 @t34)) % 0.48/0.90 (define @t206 () (tptp.c_RealDef_Oreal @t181 tptp.tc_nat)) % 0.48/0.90 (define @t207 () (@list @t181)) % 0.48/0.90 (define @t208 () (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t175 @t4)) % 0.48/0.90 (define @t209 () (@list @t4 @t7 @t6 @t30)) % 0.48/0.90 (define @t210 () (tptp.c_lessequals @t5 @t194 @t4)) % 0.48/0.90 (define @t211 () (not @t210)) % 0.48/0.90 (define @t212 () (tptp.c_lessequals @t6 @t5 @t4)) % 0.48/0.90 (define @t213 () (tptp.c_lessequals @t5 @t6 @t4)) % 0.48/0.90 (define @t214 () (tptp.c_RealVector_Oof__real @t1 @t4)) % 0.48/0.90 (define @t215 () (tptp.c_RealVector_OscaleR__class_OscaleR @t1 @t30 @t4)) % 0.48/0.90 (define @t216 () (tptp.c_Transcendental_Oexp @t30 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t217 () (tptp.c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1 @t34 @t4)) % 0.48/0.90 (define @t218 () (tptp.c_RealVector_Onorm__class_Onorm @t167 @t4)) % 0.48/0.90 (define @t219 () (@list @t4 @t167 @t34)) % 0.48/0.90 (define @t220 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t7 @t4)) % 0.48/0.90 (define @t221 () (@list @t90 @t88)) % 0.48/0.90 (define @t222 () (tptp.c_HOL_Otimes__class_Otimes @t34 @t30 @t4)) % 0.48/0.90 (define @t223 () (tptp.c_HOL_Otimes__class_Otimes @t30 @t34 @t4)) % 0.48/0.90 (define @t224 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t195 @t4)) % 0.48/0.90 (define @t225 () (tptp.c_lessequals @t79 @t78 @t4)) % 0.48/0.90 (define @t226 () (not (tptp.c_lessequals @t57 @t5 @t4))) % 0.48/0.90 (define @t227 () (tptp.c_HOL_Oabs__class_Oabs @t30 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t228 () (tptp.c_HOL_Oabs__class_Oabs @t43 @t4)) % 0.48/0.90 (define @t229 () (tptp.c_RealVector_Oof__real @t34 @t4)) % 0.48/0.90 (define @t230 () (tptp.c_RealVector_Oof__real @t30 @t4)) % 0.48/0.90 (define @t231 () (not @t212)) % 0.48/0.90 (define @t232 () (tptp.c_lessequals @t194 @t5 @t4)) % 0.48/0.90 (define @t233 () (not @t213)) % 0.48/0.90 (define @t234 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t4)) % 0.48/0.90 (define @t235 () (tptp.c_RealVector_Onorm__class_Onorm @t30 @t4)) % 0.48/0.90 (define @t236 () (tptp.c_HOL_Otimes__class_Otimes @t235 @t234 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t237 () (tptp.c_RealVector_Onorm__class_Onorm @t223 @t4)) % 0.48/0.90 (define @t238 () (tptp.c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1 @t34 @t4)) % 0.48/0.90 (define @t239 () (tptp.c_RealVector_Odist__class_Odist @t30 @t30 @t4)) % 0.48/0.90 (define @t240 () (@var "V_ry" $$unsorted)) % 0.48/0.90 (define @t241 () (@var "V_ly" $$unsorted)) % 0.48/0.90 (define @t242 () (@var "V_rx" $$unsorted)) % 0.48/0.90 (define @t243 () (@var "V_lx" $$unsorted)) % 0.48/0.90 (define @t244 () (tptp.c_HOL_Otimes__class_Otimes @t243 @t242 @t4)) % 0.48/0.90 (define @t245 () (tptp.c_HOL_Otimes__class_Otimes @t242 @t240 @t4)) % 0.48/0.90 (define @t246 () (tptp.c_HOL_Otimes__class_Otimes @t243 @t241 @t4)) % 0.48/0.90 (define @t247 () (tptp.c_HOL_Otimes__class_Otimes @t246 @t245 @t4)) % 0.48/0.90 (define @t248 () (@list @t4 @t243 @t241 @t242 @t240)) % 0.48/0.90 (define @t249 () (tptp.c_HOL_Oinverse__class_Odivide @t64 @t57 @t4)) % 0.48/0.90 (define @t250 () (= @t249 @t7)) % 0.48/0.90 (define @t251 () (@list @t4 @t7 @t57)) % 0.48/0.90 (define @t252 () (= @t7 @t249)) % 0.48/0.90 (define @t253 () (@list @t4 @t57 @t7)) % 0.48/0.90 (define @t254 () (tptp.c_Transcendental_Oexp @t34 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t255 () (tptp.c_lessequals @t216 @t254 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t256 () (tptp.c_lessequals @t30 @t34 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t257 () (not @t256)) % 0.48/0.90 (define @t258 () (tptp.c_lessequals @t90 @t88 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t259 () (tptp.c_lessequals @t88 @t90 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t260 () (= @t12 @t7)) % 0.48/0.90 (define @t261 () (= @t228 @t224)) % 0.48/0.90 (define @t262 () (not (tptp.class_Ring__and__Field_Opordered__ring__abs @t4))) % 0.48/0.90 (define @t263 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t4))) % 0.48/0.90 (define @t264 () (tptp.c_lessequals @t43 @t5 @t4)) % 0.48/0.90 (define @t265 () (not @t264)) % 0.48/0.90 (define @t266 () (tptp.c_lessequals @t188 @t34 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t267 () (tptp.c_lessequals @t188 @t203 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t268 () (@list @t34)) % 0.48/0.90 (define @t269 () (not (tptp.c_lessequals @t188 @t30 tptp.tc_RealDef_Oreal))) % 0.48/0.90 (define @t270 () (not (tptp.class_Ring__and__Field_Omult__mono @t4))) % 0.48/0.90 (define @t271 () (not (tptp.class_Ring__and__Field_Opordered__ring @t4))) % 0.48/0.90 (define @t272 () (tptp.c_RealDef_Oreal @t30 tptp.tc_nat)) % 0.48/0.90 (define @t273 () (tptp.c_HOL_Oinverse__class_Odivide @t7 @t57 @t4)) % 0.48/0.90 (define @t274 () (tptp.c_lessequals @t5 @t43 @t4)) % 0.48/0.90 (define @t275 () (not (tptp.class_Orderings_Olinorder @t4))) % 0.48/0.90 (define @t276 () (@list @t4 @t34 @t30)) % 0.48/0.90 (define @t277 () (tptp.c_HOL_Oord__class_Oless @t30 @t30 @t4)) % 0.48/0.90 (define @t278 () (not @t277)) % 0.48/0.90 (define @t279 () (tptp.c_lessequals @t30 @t30 @t4)) % 0.48/0.90 (define @t280 () (= @t7 @t188)) % 0.48/0.90 (define @t281 () (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t34 @t4)) % 0.48/0.90 (define @t282 () (@list @t4 @t7 @t30 @t34)) % 0.48/0.90 (define @t283 () (tptp.c_RealVector_OscaleR__class_OscaleR @t188 @t30 @t4)) % 0.48/0.90 (define @t284 () (= @t57 @t188)) % 0.48/0.90 (define @t285 () (= @t30 @t188)) % 0.48/0.90 (define @t286 () (not (= @t199 @t188))) % 0.48/0.90 (define @t287 () (tptp.c_HOL_Oord__class_Oless @t188 @t30 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t288 () (not @t287)) % 0.48/0.90 (define @t289 () (tptp.c_HOL_Oord__class_Oless @t188 @t34 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t290 () (not @t289)) % 0.48/0.90 (define @t291 () (tptp.c_Transcendental_Oln @t34)) % 0.48/0.90 (define @t292 () (tptp.c_Transcendental_Oln @t30)) % 0.48/0.90 (define @t293 () (tptp.c_lessequals @t292 @t291 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t294 () (tptp.c_HOL_Oord__class_Oless @t34 (tptp.c_RealDef_Oreal__of__preal @t30) tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t295 () (@list @t34 @t30)) % 0.48/0.90 (define @t296 () (= (tptp.c_Transcendental_Oexp @t292 tptp.tc_RealDef_Oreal) @t30)) % 0.48/0.90 (define @t297 () (not (tptp.c_HOL_Oord__class_Oless @t188 @t90 tptp.tc_RealDef_Oreal))) % 0.48/0.90 (define @t298 () (tptp.c_HOL_Otimes__class_Otimes @t90 @t34 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t299 () (tptp.c_HOL_Otimes__class_Otimes @t90 @t30 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t300 () (tptp.c_lessequals @t299 @t298 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t301 () (@list @t90 @t30 @t34)) % 0.48/0.90 (define @t302 () (@list @t30 @t34 @t90)) % 0.48/0.90 (define @t303 () (tptp.c_HOL_Otimes__class_Otimes @t34 @t90 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t304 () (tptp.c_HOL_Otimes__class_Otimes @t30 @t90 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t305 () (tptp.c_lessequals @t304 @t303 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t306 () (@list @t30 @t90 @t34)) % 0.48/0.90 (define @t307 () (tptp.c_HOL_Oord__class_Oless @t30 @t34 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t308 () (not @t307)) % 0.48/0.90 (define @t309 () (tptp.c_HOL_Oord__class_Oless @t216 @t254 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t310 () (tptp.c_HOL_Oord__class_Oless @t199 @t203 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t311 () (@var "V_s" $$unsorted)) % 0.48/0.90 (define @t312 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t4)) % 0.48/0.90 (define @t313 () (not (tptp.c_lessequals @t57 @t188 tptp.tc_RealDef_Oreal))) % 0.48/0.90 (define @t314 () (tptp.c_HOL_Oord__class_Oless @t194 @t5 @t4)) % 0.48/0.90 (define @t315 () (tptp.c_HOL_Oord__class_Oless @t118 @t5 @t4)) % 0.48/0.90 (define @t316 () (not (tptp.c_HOL_Oord__class_Oless @t30 @t5 @t4))) % 0.48/0.90 (define @t317 () (tptp.c_HOL_Oord__class_Oless @t15 @t5 @t4)) % 0.48/0.90 (define @t318 () (not @t317)) % 0.48/0.90 (define @t319 () (tptp.c_HOL_Oord__class_Oless @t41 @t15 @t4)) % 0.48/0.90 (define @t320 () (not (tptp.c_HOL_Oord__class_Oless @t15 @t41 @t4))) % 0.48/0.90 (define @t321 () (tptp.c_HOL_Oord__class_Oless @t5 @t15 @t4)) % 0.48/0.90 (define @t322 () (not @t321)) % 0.48/0.90 (define @t323 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t7 @t4)) % 0.48/0.90 (define @t324 () (tptp.c_HOL_Oord__class_Oless @t273 @t99 @t4)) % 0.48/0.90 (define @t325 () (tptp.c_HOL_Oord__class_Oless @t50 @t5 @t4)) % 0.48/0.90 (define @t326 () (tptp.c_HOL_Oord__class_Oless @t5 @t194 @t4)) % 0.48/0.90 (define @t327 () (tptp.c_HOL_Oord__class_Oless @t5 @t118 @t4)) % 0.48/0.90 (define @t328 () (not @t326)) % 0.48/0.90 (define @t329 () (tptp.c_HOL_Oord__class_Oless @t43 @t5 @t4)) % 0.48/0.90 (define @t330 () (tptp.c_HOL_Oord__class_Oless @t5 @t50 @t4)) % 0.48/0.90 (define @t331 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t4))) % 0.48/0.90 (define @t332 () (tptp.c_HOL_Otimes__class_Otimes @t246 @t242 @t4)) % 0.48/0.90 (define @t333 () (@list @t4 @t243 @t241 @t242)) % 0.48/0.90 (define @t334 () (tptp.c_HOL_Otimes__class_Otimes @t243 @t245 @t4)) % 0.48/0.90 (define @t335 () (@list @t4 @t243 @t242 @t240)) % 0.48/0.90 (define @t336 () (@var "V_z3" $$unsorted)) % 0.48/0.90 (define @t337 () (@var "V_z2" $$unsorted)) % 0.48/0.90 (define @t338 () (@var "V_z1" $$unsorted)) % 0.48/0.90 (define @t339 () (not @t274)) % 0.48/0.90 (define @t340 () (tptp.c_lessequals @t64 @t63 @t4)) % 0.48/0.90 (define @t341 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t4))) % 0.48/0.90 (define @t342 () (@var "V_k" $$unsorted)) % 0.48/0.90 (define @t343 () (@var "V_vskULn" $$unsorted)) % 0.48/0.90 (define @t344 () (tptp.c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1 @t343 @t4)) % 0.48/0.90 (define @t345 () (tptp.c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1 @t30 @t4)) % 0.48/0.90 (define @t346 () (tptp.c_HOL_Oinverse__class_Oinverse @t43 @t4)) % 0.48/0.90 (define @t347 () (@var "V_u" $$unsorted)) % 0.48/0.90 (define @t348 () (@var "V_vskULt" $$unsorted)) % 0.48/0.90 (define @t349 () (tptp.c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1 @t348 @t1 @t4)) % 0.48/0.90 (define @t350 () (tptp.c_RealVector_OscaleR__class_OscaleR @t1 @t43 @t4)) % 0.48/0.90 (define @t351 () (@list @t4 @t1 @t30 @t34)) % 0.48/0.90 (define @t352 () (tptp.c_RealVector_OscaleR__class_OscaleR @t1 @t6 @t4)) % 0.48/0.90 (define @t353 () (@list @t4 @t7 @t1 @t6)) % 0.48/0.90 (define @t354 () (@var "V_xa" $$unsorted)) % 0.48/0.90 (define @t355 () (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t223 @t4)) % 0.48/0.90 (define @t356 () (not (tptp.class_RealVector_Oreal__algebra @t4))) % 0.48/0.90 (define @t357 () (@list @t4 @t7 @t30)) % 0.48/0.90 (define @t358 () (tptp.c_lessequals @t199 @t203 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t359 () (tptp.c_lessequals @t5 @t15 @t4)) % 0.48/0.90 (define @t360 () (@var "V_ra" $$unsorted)) % 0.48/0.90 (define @t361 () (not @t232)) % 0.48/0.90 (define @t362 () (not (tptp.class_RealVector_Oreal__normed__div__algebra @t4))) % 0.48/0.90 (define @t363 () (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes @t5 @t57 @t4) @t57 @t4)) % 0.48/0.90 (define @t364 () (@list @t4 @t57)) % 0.48/0.90 (define @t365 () (tptp.c_HOL_Otimes__class_Otimes @t99 @t57 @t4)) % 0.48/0.90 (define @t366 () (@list @t4 @t6 @t57)) % 0.48/0.90 (define @t367 () (tptp.c_HOL_Otimes__class_Otimes @t30 @t30 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t368 () (@var "V_j" $$unsorted)) % 0.48/0.90 (define @t369 () (@var "V_i" $$unsorted)) % 0.48/0.90 (define @t370 () (= @t192 (tptp.c_HOL_Otimes__class_Otimes @t88 @t34 @t4))) % 0.48/0.90 (define @t371 () (= @t34 @t5)) % 0.48/0.90 (define @t372 () (= @t90 @t5)) % 0.48/0.90 (define @t373 () (= @t118 (tptp.c_HOL_Oinverse__class_Odivide @t88 @t90 @t4))) % 0.48/0.90 (define @t374 () (not @t314)) % 0.48/0.90 (define @t375 () (= (tptp.c_RealVector_Oof__real @t188 @t4) @t5)) % 0.48/0.90 (define @t376 () (@var "V_d1" $$unsorted)) % 0.48/0.90 (define @t377 () (not (tptp.c_HOL_Oord__class_Oless @t188 @t376 tptp.tc_RealDef_Oreal))) % 0.48/0.90 (define @t378 () (@var "V_d2" $$unsorted)) % 0.48/0.90 (define @t379 () (not (tptp.c_HOL_Oord__class_Oless @t188 @t378 tptp.tc_RealDef_Oreal))) % 0.48/0.90 (define @t380 () (tptp.c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1 @t376 @t378)) % 0.48/0.90 (define @t381 () (@list @t376 @t378)) % 0.48/0.90 (define @t382 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t30 tptp.tc_RealDef_Oreal))) % 0.48/0.90 (define @t383 () (not (tptp.c_HOL_Oord__class_Oless @t30 @t6 tptp.tc_RealDef_Oreal))) % 0.48/0.90 (define @t384 () (@list @t7 @t6 @t30)) % 0.48/0.90 (define @t385 () (tptp.c_HOL_Oord__class_Oless @t188 @t203 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t386 () (tptp.c_HOL_Oord__class_Oless @t292 @t291 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t387 () (@var "V_p" $$unsorted)) % 0.48/0.90 (define @t388 () (tptp.c_HOL_Oord__class_Oless @t30 @t188 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t389 () (tptp.c_HOL_Oord__class_Oless @t199 @t188 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t390 () (@var "V_e" $$unsorted)) % 0.48/0.90 (define @t391 () (tptp.c_HOL_Oord__class_Oless @t304 @t303 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t392 () (tptp.c_RealVector_Onorm__class_Onorm @t5 @t4)) % 0.48/0.90 (define @t393 () (tptp.c_HOL_Oord__class_Oless @t188 @t235 tptp.tc_RealDef_Oreal)) % 0.48/0.90 (define @t394 () (or @t23 @t393 @t51)) % 0.48/0.90 (define @t395 () (forall @t32 @t394)) % 0.48/0.90 (define @t396 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (define @t397 () (= tptp.v_c____ @t396)) % 0.48/0.91 (define @t398 () (tptp.c_HOL_Oord__class_Oless @t188 (tptp.c_RealVector_Onorm__class_Onorm tptp.v_c____ tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal)) % 0.48/0.91 (define @t399 () (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (define @t400 () (not @t399)) % 0.48/0.91 (define @t401 () (or @t400 @t398 @t397)) % 0.48/0.91 (define @t402 () (not @t401)) % 0.48/0.91 (define @t403 () (or @t400 @t398 (= @t396 tptp.v_c____))) % 0.48/0.91 (define @t404 () (forall @t32 (or @t23 @t393 (= @t5 @t30)))) % 0.48/0.91 (assume @p1 (forall @t3 (= (tptp.c_RealVector_Onorm__class_Onorm @t1 tptp.tc_RealDef_Oreal) @t2))) % 0.48/0.91 (assume @p2 (forall @t10 (or @t9 (= @t8 (tptp.c_RealVector_OscaleR__class_OscaleR @t6 @t5 @t4))))) % 0.48/0.91 (assume @p3 (forall @t14 (or @t13 (not (= @t12 @t5)) @t11))) % 0.48/0.91 (assume @p4 (forall @t14 (or @t17 @t16 @t11))) % 0.48/0.91 (assume @p5 (forall @t14 (or @t17 @t18 @t16 @t11))) % 0.48/0.91 (assume @p6 (forall @t22 (or @t21 @t20))) % 0.48/0.91 (assume @p7 (forall @t22 (or (not (tptp.class_Ring__and__Field_Osgn__if @t4)) @t20))) % 0.48/0.91 (assume @p8 (forall @t22 (or @t23 @t20))) % 0.48/0.91 (assume @p9 (forall @t14 (or @t25 @t24))) % 0.48/0.91 (assume @p10 (forall @t27 (or @t25 @t26))) % 0.48/0.91 (assume @p11 (forall @t14 (or @t28 @t24))) % 0.48/0.91 (assume @p12 (forall @t14 (or @t28 @t29))) % 0.48/0.91 (assume @p13 (forall @t32 (or @t31 (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t30 @t4) @t5)))) % 0.48/0.91 (assume @p14 (forall @t32 (or @t33 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t5 @t4) @t5)))) % 0.48/0.91 (assume @p15 (forall @t14 (or @t33 @t24))) % 0.48/0.91 (assume @p16 (forall @t27 (or @t33 @t26))) % 0.48/0.91 (assume @p17 (forall @t35 (or @t33 (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t34 @t4) @t5)))) % 0.48/0.91 (assume @p18 (forall @t14 (or @t31 @t24))) % 0.48/0.91 (assume @p19 (forall @t14 (or @t31 @t29))) % 0.48/0.91 (assume @p20 (forall @t14 (or @t17 @t36 @t11))) % 0.48/0.91 (assume @p21 (forall @t22 (or @t37 @t18 (= (tptp.c_HOL_Oinverse__class_Odivide @t5 @t5 @t4) @t5)))) % 0.48/0.91 (assume @p22 (forall @t22 (or @t18 @t38))) % 0.48/0.91 (assume @p23 (forall @t22 (or @t17 @t18 @t38))) % 0.48/0.91 (assume @p24 (forall @t10 (or @t17 @t42 @t40 @t39 @t11))) % 0.48/0.91 (assume @p25 (forall @t10 (or @t25 @t44 @t39 @t11))) % 0.48/0.91 (assume @p26 (forall @t10 (or @t45 @t44 @t39 @t11))) % 0.48/0.91 (assume @p27 (forall @t10 (or @t45 @t44 @t11 @t39))) % 0.48/0.91 (assume @p28 (forall @t22 (or @t13 (= @t46 @t5)))) % 0.48/0.91 (assume @p29 (forall @t14 (or @t23 @t47))) % 0.48/0.91 (assume @p30 (forall @t14 (or @t9 @t47))) % 0.48/0.91 (assume @p31 (forall @t14 (or @t37 (= (tptp.c_HOL_Oinverse__class_Odivide @t5 @t7 @t4) @t5)))) % 0.48/0.91 (assume @p32 (forall @t27 (or @t37 @t18 (= @t48 @t5)))) % 0.48/0.91 (assume @p33 (forall @t14 (or @t37 @t18 (= (tptp.c_HOL_Oinverse__class_Odivide @t7 @t5 @t4) @t5)))) % 0.48/0.91 (assume @p34 (forall @t35 (or @t49 (= (tptp.c_HOL_Oinverse__class_Odivide @t5 @t34 @t4) @t5)))) % 0.48/0.91 (assume @p35 (forall @t14 (or @t21 (not (= @t50 @t5)) @t11))) % 0.48/0.91 (assume @p36 (forall @t32 (or @t23 (not (= @t52 @t5)) @t51))) % 0.48/0.91 (assume @p37 (forall @t32 (or @t53 @t49 (not (= (tptp.c_Transcendental_Oexp @t30 @t4) @t5))))) % 0.48/0.91 (assume @p38 (forall @t67 (or @t66 @t65 @t62 @t60 @t58 @t55))) % 0.48/0.91 (assume @p39 (forall @t67 (or @t66 @t65 @t73 @t72 @t70 @t69))) % 0.48/0.91 (assume @p40 (forall @t82 (or @t81 @t80 @t77 @t75 @t55))) % 0.48/0.91 (assume @p41 (forall @t82 (or @t81 @t80 @t77 @t62 @t84))) % 0.48/0.91 (assume @p42 (forall @t94 (or @t81 (tptp.c_lessequals @t93 @t92 @t4) @t91 @t89 @t87 @t85))) % 0.48/0.91 (assume @p43 (forall @t101 (or @t81 @t18 @t100 @t98 @t74 @t96))) % 0.48/0.91 (assume @p44 (forall @t101 (or @t81 @t18 @t100 @t98 @t103 @t61))) % 0.48/0.91 (assume @p45 (forall @t101 (or @t81 @t18 @t100 @t75 @t103 @t61))) % 0.48/0.91 (assume @p46 (forall @t105 (or @t81 @t18 @t102 @t75 @t61 @t104))) % 0.48/0.91 (assume @p47 (forall @t107 (or @t81 @t18 @t106 @t72 @t74 @t103))) % 0.48/0.91 (assume @p48 (forall @t107 (or @t81 @t18 @t106 @t72 @t96 @t61))) % 0.48/0.91 (assume @p49 (forall @t107 (or @t81 @t18 @t106 @t75 @t96 @t61))) % 0.48/0.91 (assume @p50 (forall @t109 (or @t81 @t18 @t95 @t75 @t61 @t108))) % 0.48/0.91 (assume @p51 (forall @t113 (or @t81 @t112 @t111 @t69))) % 0.48/0.91 (assume @p52 (forall @t113 (or @t81 @t115 @t111 @t114))) % 0.48/0.91 (assume @p53 (forall @t113 (or @t81 @t112 @t72 @t69))) % 0.48/0.91 (assume @p54 (forall @t113 (or @t81 @t115 @t72 @t114))) % 0.48/0.91 (assume @p55 (forall @t120 (or @t81 @t119 @t117 @t116))) % 0.48/0.91 (assume @p56 (forall @t120 (or @t81 @t119 @t121 @t85))) % 0.48/0.91 (assume @p57 (forall @t101 (or @t81 @t18 @t100 @t98 @t103 @t96))) % 0.48/0.91 (assume @p58 (forall @t101 (or @t81 @t18 @t100 @t75 @t103 @t96))) % 0.48/0.91 (assume @p59 (forall @t107 (or @t81 @t18 @t106 @t72 @t96 @t103))) % 0.48/0.91 (assume @p60 (forall @t107 (or @t81 @t18 @t106 @t75 @t96 @t103))) % 0.48/0.91 (assume @p61 (forall @t94 (or @t81 @t124 @t91 @t89 @t123 @t85))) % 0.48/0.91 (assume @p62 (forall @t67 (or @t66 @t65 @t73 @t60 @t70 @t55))) % 0.48/0.91 (assume @p63 (forall @t120 (or @t81 @t125 @t121 @t116))) % 0.48/0.91 (assume @p64 (forall @t120 (or @t81 @t125 @t117 @t85))) % 0.48/0.91 (assume @p65 (forall @t127 (or @t81 (tptp.c_HOL_Oord__class_Oless @t90 @t118 @t4) (not (tptp.c_HOL_Oord__class_Oless @t126 @t30 @t4)) @t121))) % 0.48/0.91 (assume @p66 (forall @t128 (or @t81 (tptp.c_HOL_Oord__class_Oless @t118 @t90 @t4) (not (tptp.c_HOL_Oord__class_Oless @t30 @t126 @t4)) @t121))) % 0.48/0.91 (assume @p67 (forall @t101 (or @t81 @t18 @t100 @t62 @t96))) % 0.48/0.91 (assume @p68 (forall @t109 (or @t81 @t18 @t95 @t62 @t104))) % 0.48/0.91 (assume @p69 (forall @t107 (or @t81 @t18 @t106 @t62 @t103))) % 0.48/0.91 (assume @p70 (forall @t105 (or @t81 @t18 @t102 @t62 @t108))) % 0.48/0.91 (assume @p71 (forall @t120 (or @t81 @t18 (= (tptp.c_HOL_Oinverse__class_Odivide @t129 @t34 @t4) (tptp.c_HOL_Oabs__class_Oabs @t118 @t4)) @t121))) % 0.48/0.91 (assume @p72 (forall @t101 (or @t66 @t54 @t73 @t132))) % 0.48/0.91 (assume @p73 (forall @t101 (or @t66 @t54 @t73 @t136))) % 0.48/0.91 (assume @p74 (forall @t101 (or @t137 @t54 @t73 @t132))) % 0.48/0.91 (assume @p75 (forall @t101 (or @t137 @t54 @t73 @t136))) % 0.48/0.91 (assume @p76 (forall @t67 (or @t66 @t65 @t73 @t139 @t70 @t55))) % 0.48/0.91 (assume @p77 (forall @t94 (or @t81 @t124 (not (tptp.c_HOL_Oord__class_Oless @t88 @t90 @t4)) @t89 @t87 @t140))) % 0.48/0.91 (assume @p78 (forall @t101 (or @t66 @t68 @t62 (not @t141)))) % 0.48/0.91 (assume @p79 (forall @t101 (or @t66 @t68 @t62 @t143))) % 0.48/0.91 (assume @p80 (forall @t82 (or @t144 @t142 @t69 @t62))) % 0.48/0.91 (assume @p81 (forall @t101 (or @t144 @t68 @t143 @t62))) % 0.48/0.91 (assume @p82 (forall @t82 (or @t144 @t142 @t145 @t75))) % 0.48/0.91 (assume @p83 (forall @t105 (or @t144 @t115 @t143 @t75))) % 0.48/0.91 (assume @p84 (forall @t101 (or @t81 @t18 @t148 @t147 @t74 @t61))) % 0.48/0.91 (assume @p85 (forall @t109 (or @t81 @t18 @t146 @t74 @t61 @t149))) % 0.48/0.91 (assume @p86 (forall @t107 (or @t81 @t18 @t150 @t60 @t74 @t61))) % 0.48/0.91 (assume @p87 (forall @t109 (or @t81 @t18 @t59 @t74 @t61 @t151))) % 0.48/0.91 (assume @p88 (forall @t127 (or @t156 @t155 @t154 @t153))) % 0.48/0.91 (assume @p89 (forall @t127 (or @t156 @t155 @t159 @t158))) % 0.48/0.91 (assume @p90 (forall @t163 (or @t162 @t161 @t160 @t123))) % 0.48/0.91 (assume @p91 (forall @t163 (or @t162 @t161 @t164 @t87))) % 0.48/0.91 (assume @p92 (forall @t120 (or @t162 @t86 @t123))) % 0.48/0.91 (assume @p93 (forall (@list @t4 @t167 @t165) (or @t23 @t169 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_RealVector_Oof__real @t167 @t4) @t4) (tptp.c_HOL_Otimes__class_Otimes @t168 @t166 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p94 (forall (@list @t4 @t7 @t6 @t170) (or @t23 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t173 @t4) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_Onorm__class_Onorm @t7 tptp.tc_RealDef_Oreal) @t172 tptp.tc_RealDef_Oreal) @t171 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p95 (forall (@list @t4 @t167 @t30) (or @t23 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_RealVector_OscaleR__class_OscaleR @t167 @t30 @t4) @t4) (tptp.c_HOL_Otimes__class_Otimes @t168 @t174 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p96 (forall (@list @t4 @t7 @t30 @t6) (or @t9 (not (= @t176 @t175)) @t51 @t40))) % 0.48/0.91 (assume @p97 (forall @t27 (or @t37 @t18 (= @t5 @t48)))) % 0.48/0.91 (assume @p98 (forall @t107 (or @t81 @t18 @t150 @t60 @t180 @t178))) % 0.48/0.91 (assume @p99 (forall @t101 (or @t81 @t18 @t148 @t147 @t178 @t180))) % 0.48/0.91 (assume @p100 (forall @t184 (or @t183 (tptp.c_lessequals @t5 @t182 @t4)))) % 0.48/0.91 (assume @p101 (forall @t187 (or @t183 (tptp.c_lessequals @t5 @t186 @t4)))) % 0.48/0.91 (assume @p102 (forall @t120 (or @t191 @t190 (not (tptp.c_lessequals @t189 @t188 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p103 (forall @t128 (or @t37 @t18 (= (tptp.c_HOL_Otimes__class_Otimes @t118 @t90 @t4) (tptp.c_HOL_Oinverse__class_Odivide @t192 @t34 @t4))))) % 0.48/0.91 (assume @p104 (forall @t82 (or @t37 @t18 (= (tptp.c_HOL_Oinverse__class_Odivide @t134 @t133 @t4) @t194) @t193))) % 0.48/0.91 (assume @p105 (forall @t109 (or @t37 @t18 (= (tptp.c_HOL_Oinverse__class_Odivide @t64 @t130 @t4) @t194) @t193))) % 0.48/0.91 (assume @p106 (forall @t10 (or @t81 @t18 @t196))) % 0.48/0.91 (assume @p107 (forall @t14 (or @t81 @t18 @t197))) % 0.48/0.91 (assume @p108 (forall @t201 (or @t200 (not @t198)))) % 0.48/0.91 (assume @p109 (forall @t201 (or @t198 (not @t200)))) % 0.48/0.91 (assume @p110 (forall @t14 (or @t81 @t18 @t146 (not @t202)))) % 0.48/0.91 (assume @p111 (forall @t14 (or @t81 @t18 @t202 @t147))) % 0.48/0.91 (assume @p112 (forall @t205 (= (tptp.c_NthRoot_Osqrt @t204) (tptp.c_HOL_Otimes__class_Otimes @t199 @t203 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p113 (forall @t207 (tptp.c_lessequals @t188 @t206 tptp.tc_RealDef_Oreal))) % 0.48/0.91 (assume @p114 (forall @t209 (or @t9 (= @t208 (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Otimes__class_Otimes @t7 @t6 tptp.tc_RealDef_Oreal) @t30 @t4))))) % 0.48/0.91 (assume @p115 (forall @t10 (or @t81 @t18 @t146 @t59 @t211))) % 0.48/0.91 (assume @p116 (forall @t113 (or @t81 @t18 @t212 @t59 @t211))) % 0.48/0.91 (assume @p117 (forall @t10 (or @t81 @t18 @t146 @t213 @t211))) % 0.48/0.91 (assume @p118 (forall @t113 (or @t81 @t18 @t212 @t213 @t211))) % 0.48/0.91 (assume @p119 (forall (@list @t4 @t1 @t30) (or @t169 (= @t215 (tptp.c_HOL_Otimes__class_Otimes @t214 @t30 @t4))))) % 0.48/0.91 (assume @p120 (forall @t201 (not (tptp.c_lessequals @t216 @t188 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p121 (forall @t219 (or @t33 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes @t167 @t34 @t4) @t4) (tptp.c_HOL_Otimes__class_Otimes @t218 @t217 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p122 (forall @t10 (or @t31 (= @t43 @t220)))) % 0.48/0.91 (assume @p123 (forall @t221 (= (tptp.c_HOL_Otimes__class_Otimes @t90 @t88 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t88 @t90 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p124 (forall @t120 (or @t31 (= @t223 @t222)))) % 0.48/0.91 (assume @p125 (forall @t14 (or @t17 @t18 @t36))) % 0.48/0.91 (assume @p126 (forall (@list @t4 @t7 @t6 @t57 @t56) (or @t21 (tptp.c_HOL_Oord__class_Oless @t224 (tptp.c_HOL_Otimes__class_Otimes @t57 @t56 @t4) @t4) (not (tptp.c_HOL_Oord__class_Oless @t195 @t56 @t4)) (not (tptp.c_HOL_Oord__class_Oless @t12 @t57 @t4))))) % 0.48/0.91 (assume @p127 (forall @t201 (tptp.c_lessequals @t188 @t216 tptp.tc_RealDef_Oreal))) % 0.48/0.91 (assume @p128 (forall @t82 (or @t81 @t225 @t77 @t73 @t145))) % 0.48/0.91 (assume @p129 (forall @t82 (or @t81 @t18 @t225 @t77 @t226 @t69))) % 0.48/0.91 (assume @p130 (forall (@list @t30 @t1) (or (tptp.c_lessequals @t30 @t1 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t227 @t1 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p131 (forall @t10 (or @t13 @t68 (not (tptp.c_lessequals @t12 @t6 @t4))))) % 0.48/0.91 (assume @p132 (forall @t10 (or (not (tptp.class_Ring__and__Field_Olordered__ring @t4)) (tptp.c_lessequals @t228 @t224 @t4)))) % 0.48/0.91 (assume @p133 (forall @t120 (or @t169 (not (= @t230 @t229)) @t190))) % 0.48/0.91 (assume @p134 (forall @t10 (or @t81 @t18 @t232 @t231 @t60))) % 0.48/0.91 (assume @p135 (forall @t10 (or @t81 @t18 @t232 @t233 @t147))) % 0.48/0.91 (assume @p136 (forall @t120 (or @t33 (tptp.c_lessequals @t237 @t236 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p137 (forall @t32 (or @t21 (= (tptp.c_HOL_Otimes__class_Otimes @t52 @t129 @t4) @t30)))) % 0.48/0.91 (assume @p138 (forall (@list @t4 @t185 @t181) (or (not (tptp.class_Nat_Osemiring__char__0 @t4)) (not (= @t186 @t182)) (= @t185 @t181)))) % 0.48/0.91 (assume @p139 (forall @t105 (or @t81 @t18 @t177 @t62 @t151))) % 0.48/0.91 (assume @p140 (forall @t107 (or @t81 @t18 @t150 @t62 @t178))) % 0.48/0.91 (assume @p141 (forall @t109 (or @t81 @t18 @t179 @t62 @t149))) % 0.48/0.91 (assume @p142 (forall @t101 (or @t81 @t18 @t148 @t62 @t180))) % 0.48/0.91 (assume @p143 (forall @t128 (or @t81 (tptp.c_lessequals @t118 @t90 @t4) (not (tptp.c_lessequals @t30 @t126 @t4)) @t121))) % 0.48/0.91 (assume @p144 (forall @t127 (or @t81 (tptp.c_lessequals @t90 @t118 @t4) (not (tptp.c_lessequals @t126 @t30 @t4)) @t121))) % 0.48/0.91 (assume @p145 (forall @t219 (or @t49 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oinverse__class_Odivide @t167 @t34 @t4) @t4) (tptp.c_HOL_Otimes__class_Otimes @t218 @t238 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p146 (forall (@list @t181 @t185) (or (not (= @t206 (tptp.c_RealDef_Oreal @t185 tptp.tc_nat))) (= @t181 @t185)))) % 0.48/0.91 (assume @p147 (forall @t107 (or @t81 @t18 @t150 @t75 @t180 @t178))) % 0.48/0.91 (assume @p148 (forall @t101 (or @t81 @t18 @t148 @t75 @t178 @t180))) % 0.48/0.91 (assume @p149 (forall @t32 (or @t191 (tptp.c_lessequals @t239 @t188 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p150 (forall @t248 (or @t31 (= @t247 (tptp.c_HOL_Otimes__class_Otimes @t244 (tptp.c_HOL_Otimes__class_Otimes @t241 @t240 @t4) @t4))))) % 0.48/0.91 (assume @p151 (forall @t248 (or @t31 (= @t247 (tptp.c_HOL_Otimes__class_Otimes @t243 (tptp.c_HOL_Otimes__class_Otimes @t241 @t245 @t4) @t4))))) % 0.48/0.91 (assume @p152 (forall @t248 (or @t31 (= @t247 (tptp.c_HOL_Otimes__class_Otimes @t242 (tptp.c_HOL_Otimes__class_Otimes @t246 @t240 @t4) @t4))))) % 0.48/0.91 (assume @p153 (forall @t14 (or @t13 @t11 (not (tptp.c_lessequals @t12 @t5 @t4))))) % 0.48/0.91 (assume @p154 (forall @t32 (or @t53 @t49 (= (tptp.c_Transcendental_Oexp @t230 @t4) (tptp.c_RealVector_Oof__real @t216 @t4))))) % 0.48/0.91 (assume @p155 (forall @t251 (or @t37 @t18 @t250 @t193))) % 0.48/0.91 (assume @p156 (forall @t251 (or @t37 @t18 @t252 @t193))) % 0.48/0.91 (assume @p157 (forall @t253 (or @t37 @t193 @t250))) % 0.48/0.91 (assume @p158 (forall @t253 (or @t37 @t193 @t252))) % 0.48/0.91 (assume @p159 (forall @t205 (or @t256 (not @t255)))) % 0.48/0.91 (assume @p160 (forall @t205 (or @t255 @t257))) % 0.48/0.91 (assume @p161 (forall @t221 (or (= @t90 @t88) (not @t259) (not @t258)))) % 0.48/0.91 (assume @p162 (forall @t120 (or @t156 @t190 @t158 @t87))) % 0.48/0.91 (assume @p163 (forall @t120 (or @t156 @t190 @t87 @t158))) % 0.48/0.91 (assume @p164 (forall @t14 (or @t13 @t260 @t60))) % 0.48/0.91 (assume @p165 (forall @t10 (or @t21 @t261))) % 0.48/0.91 (assume @p166 (forall @t10 (or @t262 @t261 @t233 @t60))) % 0.48/0.91 (assume @p167 (forall @t10 (or @t262 @t261 @t231 @t60))) % 0.48/0.91 (assume @p168 (forall @t10 (or @t262 @t261 @t233 @t147))) % 0.48/0.91 (assume @p169 (forall @t10 (or @t262 @t261 @t231 @t147))) % 0.48/0.91 (assume @p170 (forall (@list @t4 @t30 @t34 @t90 @t88) (or @t37 @t18 (= (tptp.c_HOL_Otimes__class_Otimes @t118 (tptp.c_HOL_Oinverse__class_Odivide @t90 @t88 @t4) @t4) (tptp.c_HOL_Oinverse__class_Odivide @t192 (tptp.c_HOL_Otimes__class_Otimes @t34 @t88 @t4) @t4))))) % 0.48/0.91 (assume @p171 (forall @t120 (or @t263 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t223 @t4) @t223)))) % 0.48/0.91 (assume @p172 (forall @t10 (or @t144 @t146 @t59 @t265))) % 0.48/0.91 (assume @p173 (forall @t113 (or @t144 @t213 @t59 @t265))) % 0.48/0.91 (assume @p174 (forall @t10 (or @t144 @t146 @t212 @t265))) % 0.48/0.91 (assume @p175 (forall @t113 (or @t144 @t213 @t212 @t265))) % 0.48/0.91 (assume @p176 (forall @t268 (or @t267 (not @t266)))) % 0.48/0.91 (assume @p177 (forall @t268 (or @t266 (not @t267)))) % 0.48/0.91 (assume @p178 (forall @t201 (or (tptp.c_lessequals @t188 @t199 tptp.tc_RealDef_Oreal) @t269))) % 0.48/0.91 (assume @p179 (forall @t205 (or (not (= @t199 @t203)) @t190))) % 0.48/0.91 (assume @p180 (forall @t205 (or (not (= @t216 @t254)) @t190))) % 0.48/0.91 (assume @p181 (forall @t10 (or @t37 @t18 (= (tptp.c_HOL_Oinverse__class_Oinverse @t194 @t4) (tptp.c_HOL_Oinverse__class_Odivide @t6 @t7 @t4))))) % 0.48/0.91 (assume @p182 (forall @t82 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t4)) @t142 @t73 @t69))) % 0.48/0.91 (assume @p183 (forall @t82 (or @t270 @t142 @t73 @t69))) % 0.48/0.91 (assume @p184 (forall @t109 (or @t270 @t141 @t73 @t69))) % 0.48/0.91 (assume @p185 (forall @t82 (or @t271 @t142 @t226 @t145))) % 0.48/0.91 (assume @p186 (forall @t109 (or @t271 @t141 @t226 @t145))) % 0.48/0.91 (assume @p187 (forall @t120 (or @t191 (tptp.c_lessequals @t188 @t189 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p188 (forall @t201 (= (tptp.c_HOL_Oabs__class_Oabs @t272 tptp.tc_RealDef_Oreal) @t272))) % 0.48/0.91 (assume @p189 (forall @t32 (or @t263 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t30 @t4) @t30)))) % 0.48/0.91 (assume @p190 (forall @t10 (or @t17 @t18 @t42 @t40))) % 0.48/0.91 (assume @p191 (forall @t120 (or @t169 (= (tptp.c_RealVector_Oof__real @t204 @t4) (tptp.c_HOL_Otimes__class_Otimes @t230 @t229 @t4))))) % 0.48/0.91 (assume @p192 (forall @t109 (or @t81 @t18 (tptp.c_lessequals @t273 @t99 @t4) @t73 @t69))) % 0.48/0.91 (assume @p193 (forall @t107 (or @t81 @t18 (tptp.c_lessequals @t99 @t273 @t4) @t226 @t69))) % 0.48/0.91 (assume @p194 (forall @t10 (or @t271 @t274 @t233 @t60))) % 0.48/0.91 (assume @p195 (forall @t120 (or @t156 @t86 @t123))) % 0.48/0.91 (assume @p196 (forall @t120 (or @t162 @t122 @t157 @t87))) % 0.48/0.91 (assume @p197 (forall @t10 (or @t21 @t54 (not (tptp.c_HOL_Oord__class_Oless @t12 @t6 @t4))))) % 0.48/0.91 (assume @p198 (forall @t105 (or @t144 @t83 @t54 @t132))) % 0.48/0.91 (assume @p199 (forall @t105 (or @t144 @t83 @t54 @t136))) % 0.48/0.91 (assume @p200 (forall @t113 (or @t156 @t83 @t40 @t145))) % 0.48/0.91 (assume @p201 (forall @t113 (or @t156 @t83 @t145 @t40))) % 0.48/0.91 (assume @p202 (forall @t120 (or @t275 @t190 @t122 @t87))) % 0.48/0.91 (assume @p203 (forall @t120 (or @t275 @t190 @t87 @t122))) % 0.48/0.91 (assume @p204 (forall @t10 (or @t156 @t54 @t69 @t40))) % 0.48/0.91 (assume @p205 (forall @t10 (or @t156 @t54 @t40 @t69))) % 0.48/0.91 (assume @p206 (forall @t120 (or @t156 @t190 @t122 @t87))) % 0.48/0.91 (assume @p207 (forall @t120 (or @t156 @t122 @t190 @t87))) % 0.48/0.91 (assume @p208 (forall @t276 (or @t162 @t158 @t123))) % 0.48/0.91 (assume @p209 (forall @t120 (or @t275 @t122 @t157))) % 0.48/0.91 (assume @p210 (forall @t32 (or @t275 (not @t279) @t278))) % 0.48/0.91 (assume @p211 (forall @t32 (or @t275 @t277 @t279))) % 0.48/0.91 (assume @p212 (forall @t120 (or @t275 @t123 @t158))) % 0.48/0.91 (assume @p213 (forall @t276 (or @t275 @t157 @t122))) % 0.48/0.91 (assume @p214 (forall @t276 (or @t275 @t152 @t86))) % 0.48/0.91 (assume @p215 (forall @t120 (or @t275 @t87 @t153))) % 0.48/0.91 (assume @p216 (forall @t282 (or @t9 (not (= @t176 @t281)) @t280 @t190))) % 0.48/0.91 (assume @p217 (forall @t120 (or @t9 (= @t283 (tptp.c_RealVector_OscaleR__class_OscaleR @t188 @t34 @t4))))) % 0.48/0.91 (assume @p218 (forall (@list @t7 @t57 @t6) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t7 @t57 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t6 @t57 tptp.tc_RealDef_Oreal))) @t284 @t40))) % 0.48/0.91 (assume @p219 (forall (@list @t57 @t7 @t6) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t57 @t7 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t57 @t6 tptp.tc_RealDef_Oreal))) @t284 @t40))) % 0.48/0.91 (assume @p220 (forall @t201 (or @t286 @t285))) % 0.48/0.91 (assume @p221 (not (= tptp.c_Transcendental_Opi @t188))) % 0.48/0.91 (assume @p222 (= (tptp.c_NthRoot_Osqrt @t188) @t188)) % 0.48/0.91 (assume @p223 (forall @t207 (= (tptp.c_NthRoot_Oroot @t181 @t188) @t188))) % 0.48/0.91 (assume @p224 (forall @t32 (or @t191 (= @t239 @t188)))) % 0.48/0.91 (assume @p225 (forall @t120 (or @t191 (not (= @t189 @t188)) @t190))) % 0.48/0.91 (assume @p226 (forall @t205 (or @t293 @t257 @t290 @t288))) % 0.48/0.91 (assume @p227 (forall @t205 (or @t256 (not @t293) @t290 @t288))) % 0.48/0.91 (assume @p228 (forall @t295 (or @t294 (not (tptp.c_lessequals @t34 @t188 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p229 (forall @t201 (or @t296 @t288))) % 0.48/0.91 (assume @p230 (forall @t201 (or (not @t296) @t287))) % 0.48/0.91 (assume @p231 (forall @t301 (or @t300 @t257 @t297))) % 0.48/0.91 (assume @p232 (forall @t302 (or @t256 (not @t300) @t297))) % 0.48/0.91 (assume @p233 (forall @t306 (or @t305 @t257 @t297))) % 0.48/0.91 (assume @p234 (forall @t302 (or @t256 (not @t305) @t297))) % 0.48/0.91 (assume @p235 (forall @t205 (or @t256 @t308))) % 0.48/0.91 (assume @p236 (forall @t205 (or @t307 (not @t309)))) % 0.48/0.91 (assume @p237 (forall @t205 (or @t309 @t308))) % 0.48/0.91 (assume @p238 (forall @t205 (or @t307 @t190 @t257))) % 0.48/0.91 (assume @p239 (forall @t205 (or @t307 (not @t310)))) % 0.48/0.91 (assume @p240 (forall @t205 (or @t310 @t308))) % 0.48/0.91 (assume @p241 (forall (@list @t4 @t30 @t34 @t1 @t311) (or @t33 (tptp.c_HOL_Oord__class_Oless @t237 (tptp.c_HOL_Otimes__class_Otimes @t1 @t311 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t234 @t311 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t235 @t1 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p242 (forall @t14 (or @t23 (= (tptp.c_HOL_Oabs__class_Oabs @t312 tptp.tc_RealDef_Oreal) @t312)))) % 0.48/0.91 (assume @p243 (forall (@list @t4 @t30 @t57 @t34) (or @t23 @t51 (not (tptp.c_lessequals @t235 (tptp.c_HOL_Otimes__class_Otimes @t57 @t234 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) @t313))) % 0.48/0.91 (assume @p244 (forall @t82 (or @t144 @t74 @t54 @t132))) % 0.48/0.91 (assume @p245 (forall @t105 (or @t144 @t83 @t61 @t132))) % 0.48/0.91 (assume @p246 (forall @t82 (or @t144 @t74 @t54 @t136))) % 0.48/0.91 (assume @p247 (forall @t105 (or @t144 @t83 @t61 @t136))) % 0.48/0.91 (assume @p248 (forall @t10 (or @t81 @t18 @t314 @t139 @t98))) % 0.48/0.91 (assume @p249 (forall @t10 (or @t81 @t18 @t314 @t111 @t72))) % 0.48/0.91 (assume @p250 (forall @t120 (or @t81 @t315 @t117 @t140))) % 0.48/0.91 (assume @p251 (forall @t120 (or @t81 @t315 @t121 @t316))) % 0.48/0.91 (assume @p252 (forall @t22 (or @t13 (not (tptp.c_HOL_Oord__class_Oless @t5 @t46 @t4))))) % 0.48/0.91 (assume @p253 (forall @t14 (or (not (tptp.class_Ring__and__Field_Oabs__if @t4)) @t260 @t97))) % 0.48/0.91 (assume @p254 (forall @t14 (or @t275 (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t4)) @t260 @t97))) % 0.48/0.91 (assume @p255 (forall @t14 (or @t13 (not (tptp.c_HOL_Oord__class_Oless @t12 @t5 @t4))))) % 0.48/0.91 (assume @p256 (forall @t14 (or @t81 @t317 @t98))) % 0.48/0.91 (assume @p257 (forall @t14 (or @t81 @t18 @t317 @t98))) % 0.48/0.91 (assume @p258 (forall @t14 (or @t81 @t18 @t97 @t318))) % 0.48/0.91 (assume @p259 (forall @t14 (or @t13 (tptp.c_HOL_Oord__class_Oless @t5 @t12 @t4) @t11))) % 0.48/0.91 (assume @p260 (forall @t113 (or @t81 @t319 @t111 @t55))) % 0.48/0.91 (assume @p261 (forall @t113 (or @t81 @t83 @t111 @t320))) % 0.48/0.91 (assume @p262 (forall @t113 (or @t81 @t319 @t72 @t55))) % 0.48/0.91 (assume @p263 (forall @t113 (or @t81 @t83 @t72 @t320))) % 0.48/0.91 (assume @p264 (forall @t14 (or @t81 @t71 @t11 @t322))) % 0.48/0.91 (assume @p265 (forall @t14 (or @t144 (not (tptp.c_HOL_Oord__class_Oless @t323 @t5 @t4))))) % 0.48/0.91 (assume @p266 (forall @t109 (or @t81 @t324 @t75 @t84))) % 0.48/0.91 (assume @p267 (forall @t109 (or @t81 @t324 @t62 @t55))) % 0.48/0.91 (assume @p268 (forall @t14 (or @t21 @t325 @t98))) % 0.48/0.91 (assume @p269 (forall @t14 (or @t21 @t97 (not @t325)))) % 0.48/0.91 (assume @p270 (forall @t10 (or @t81 @t18 @t326 @t111 @t98))) % 0.48/0.91 (assume @p271 (forall @t10 (or @t81 @t18 @t326 @t139 @t72))) % 0.48/0.91 (assume @p272 (forall @t120 (or @t81 @t327 @t121 @t140))) % 0.48/0.91 (assume @p273 (forall @t120 (or @t81 @t327 @t117 @t316))) % 0.48/0.91 (assume @p274 (forall @t82 (or @t144 @t74 @t61 @t132))) % 0.48/0.91 (assume @p275 (forall @t82 (or @t144 @t74 @t61 @t136))) % 0.48/0.91 (assume @p276 (forall @t101 (or @t81 @t18 @t100 @t98 @t74 @t61))) % 0.48/0.91 (assume @p277 (forall @t109 (or @t81 @t18 @t97 @t74 @t61 @t104))) % 0.48/0.91 (assume @p278 (forall @t107 (or @t81 @t18 @t106 @t72 @t74 @t61))) % 0.48/0.91 (assume @p279 (forall @t109 (or @t81 @t18 @t71 @t74 @t61 @t108))) % 0.48/0.91 (assume @p280 (forall @t113 (or @t81 @t18 @t110 @t138 @t328))) % 0.48/0.91 (assume @p281 (forall @t10 (or @t81 @t18 @t97 @t138 @t328))) % 0.48/0.91 (assume @p282 (forall @t113 (or @t81 @t18 @t110 @t71 @t328))) % 0.48/0.91 (assume @p283 (forall @t10 (or @t81 @t18 @t97 @t71 @t328))) % 0.48/0.91 (assume @p284 (forall @t14 (or @t81 @t97 @t11 @t318))) % 0.48/0.91 (assume @p285 (forall @t113 (or @t66 (tptp.c_HOL_Oord__class_Oless @t220 @t5 @t4) @t111 @t72))) % 0.48/0.91 (assume @p286 (forall @t10 (or @t66 @t329 @t111 @t72))) % 0.48/0.91 (assume @p287 (forall @t10 (or @t66 @t329 @t139 @t98))) % 0.48/0.91 (assume @p288 (forall @t113 (or @t66 @t138 @t72 (not (tptp.c_HOL_Oord__class_Oless @t5 @t220 @t4))))) % 0.48/0.91 (assume @p289 (forall @t113 (or @t66 @t138 @t72 @t77))) % 0.48/0.91 (assume @p290 (forall @t10 (or @t66 @t76 @t139 @t72))) % 0.48/0.91 (assume @p291 (forall @t10 (or @t144 @t76 @t111 @t98))) % 0.48/0.91 (assume @p292 (forall @t14 (or @t21 @t330 @t72))) % 0.48/0.91 (assume @p293 (forall @t14 (or @t21 @t71 (not @t330)))) % 0.48/0.91 (assume @p294 (forall @t14 (or @t13 @t260 @t72))) % 0.48/0.91 (assume @p295 (forall @t10 (or @t271 @t274 @t231 @t147))) % 0.48/0.91 (assume @p296 (forall @t14 (or @t144 (tptp.c_lessequals @t5 @t323 @t4)))) % 0.48/0.91 (assume @p297 (forall @t10 (or @t144 @t274 @t233 @t60))) % 0.48/0.91 (assume @p298 (forall @t10 (or @t144 @t274 @t231 @t147))) % 0.48/0.91 (assume @p299 (forall @t10 (or @t331 @t274 @t233 @t60))) % 0.48/0.91 (assume @p300 (forall @t101 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t4)) (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t57 @t4) (tptp.c_HOL_Otimes__class_Otimes @t7 @t130 @t4))))) % 0.48/0.91 (assume @p301 (forall @t333 (or @t31 (= @t332 (tptp.c_HOL_Otimes__class_Otimes @t244 @t241 @t4))))) % 0.48/0.91 (assume @p302 (forall @t333 (or @t31 (= @t332 (tptp.c_HOL_Otimes__class_Otimes @t243 (tptp.c_HOL_Otimes__class_Otimes @t241 @t242 @t4) @t4))))) % 0.48/0.91 (assume @p303 (forall @t335 (or @t31 (= @t334 (tptp.c_HOL_Otimes__class_Otimes @t244 @t240 @t4))))) % 0.48/0.91 (assume @p304 (forall @t335 (or @t31 (= @t334 (tptp.c_HOL_Otimes__class_Otimes @t242 (tptp.c_HOL_Otimes__class_Otimes @t243 @t240 @t4) @t4))))) % 0.48/0.91 (assume @p305 (forall (@list @t338 @t337 @t336) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t338 @t337 tptp.tc_RealDef_Oreal) @t336 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t338 (tptp.c_HOL_Otimes__class_Otimes @t337 @t336 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p306 (forall @t128 (or @t31 (= (tptp.c_HOL_Otimes__class_Otimes @t30 (tptp.c_HOL_Otimes__class_Otimes @t34 @t90 @t4) @t4) (tptp.c_HOL_Otimes__class_Otimes @t223 @t90 @t4))))) % 0.48/0.91 (assume @p307 (forall @t10 (or @t144 @t146 @t59 @t339))) % 0.48/0.91 (assume @p308 (forall @t113 (or @t144 @t212 @t59 @t339))) % 0.48/0.91 (assume @p309 (forall @t10 (or @t144 @t146 @t213 @t339))) % 0.48/0.91 (assume @p310 (forall @t113 (or @t144 @t212 @t213 @t339))) % 0.48/0.91 (assume @p311 (forall @t67 (or @t341 @t340 @t73 @t233 @t58 @t69))) % 0.48/0.91 (assume @p312 (forall @t67 (or @t341 @t340 @t73 @t60 @t58 @t69))) % 0.48/0.91 (assume @p313 (forall @t14 (or @t21 (= (tptp.c_HOL_Osgn__class_Osgn @t50 @t4) @t50)))) % 0.48/0.91 (assume @p314 (forall (@list @t4 @t342) (or @t21 (= (tptp.c_HOL_Oabs__class_Oabs @t342 @t4) (tptp.c_HOL_Otimes__class_Otimes @t342 (tptp.c_HOL_Osgn__class_Osgn @t342 @t4) @t4))))) % 0.48/0.91 (assume @p315 (forall (@list @t4 @t7 @t6 @t343) (or @t33 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t43 @t4) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t312 @t172 tptp.tc_RealDef_Oreal) @t344 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p316 (forall (@list @t4 @t30 @t167) (or @t33 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Otimes__class_Otimes @t30 @t167 @t4) @t4) (tptp.c_HOL_Otimes__class_Otimes @t218 @t345 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p317 (forall @t184 (or @t21 (= (tptp.c_HOL_Oabs__class_Oabs @t182 @t4) @t182)))) % 0.48/0.91 (assume @p318 (forall @t10 (or @t144 @t264 @t231 @t60))) % 0.48/0.91 (assume @p319 (forall @t10 (or @t144 @t264 @t233 @t147))) % 0.48/0.91 (assume @p320 (forall @t10 (or @t331 @t264 @t231 @t60))) % 0.48/0.91 (assume @p321 (forall @t10 (or @t331 @t264 @t233 @t147))) % 0.48/0.91 (assume @p322 (forall @t113 (or @t331 (tptp.c_lessequals @t220 @t5 @t4) @t231 @t60))) % 0.48/0.91 (assume @p323 (forall @t10 (or @t37 @t18 (= @t346 (tptp.c_HOL_Otimes__class_Otimes @t15 @t41 @t4))))) % 0.48/0.91 (assume @p324 (forall @t10 (or @t17 (= @t346 (tptp.c_HOL_Otimes__class_Otimes @t41 @t15 @t4)) @t39 @t11))) % 0.48/0.91 (assume @p325 (forall @t22 (or @t13 (tptp.c_lessequals @t46 @t5 @t4)))) % 0.48/0.91 (assume @p326 (forall @t268 (= (tptp.c_Transcendental_Oln @t254) @t34))) % 0.48/0.91 (assume @p327 (forall (@list @t347) (= (tptp.c_Transcendental_Oln (tptp.c_Transcendental_Oexp @t347 tptp.tc_RealDef_Oreal)) @t347))) % 0.48/0.91 (assume @p328 (forall @t201 (= (tptp.c_Transcendental_Oln @t216) @t30))) % 0.48/0.91 (assume @p329 (forall @t107 (or @t81 @t18 @t150 @t60 @t180 @t61))) % 0.48/0.91 (assume @p330 (forall @t107 (or @t81 @t18 @t150 @t60 @t74 @t178))) % 0.48/0.91 (assume @p331 (forall @t101 (or @t81 @t18 @t148 @t147 @t178 @t61))) % 0.48/0.91 (assume @p332 (forall @t101 (or @t81 @t18 @t148 @t147 @t74 @t180))) % 0.48/0.91 (assume @p333 (forall @t120 (or @t191 (= @t189 (tptp.c_RealVector_Odist__class_Odist @t34 @t30 @t4))))) % 0.48/0.91 (assume @p334 (forall (@list @t4 @t1 @t167 @t348) (or @t23 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_RealVector_OscaleR__class_OscaleR @t1 @t167 @t4) @t4) (tptp.c_HOL_Otimes__class_Otimes @t218 @t349 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p335 (forall (@list @t4 @t1 @t7 @t6) (or @t33 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR @t1 @t7 @t4) @t6 @t4) @t350)))) % 0.48/0.91 (assume @p336 (forall @t351 (or @t33 (= (tptp.c_HOL_Otimes__class_Otimes @t215 @t34 @t4) (tptp.c_RealVector_OscaleR__class_OscaleR @t1 @t223 @t4))))) % 0.48/0.91 (assume @p337 (forall @t353 (or @t33 (= (tptp.c_HOL_Otimes__class_Otimes @t7 @t352 @t4) @t350)))) % 0.48/0.91 (assume @p338 (forall (@list @t4 @t354 @t1 @t30) (or @t33 (= (tptp.c_HOL_Otimes__class_Otimes @t354 @t215 @t4) (tptp.c_RealVector_OscaleR__class_OscaleR @t1 (tptp.c_HOL_Otimes__class_Otimes @t354 @t30 @t4) @t4))))) % 0.48/0.91 (assume @p339 (forall @t282 (or @t356 (= (tptp.c_HOL_Otimes__class_Otimes @t176 @t34 @t4) @t355)))) % 0.48/0.91 (assume @p340 (forall (@list @t4 @t30 @t7 @t34) (or @t356 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t281 @t4) @t355)))) % 0.48/0.91 (assume @p341 (forall @t357 (or @t23 (= (tptp.c_RealVector_Onorm__class_Onorm @t176 @t4) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t7 tptp.tc_RealDef_Oreal) @t235 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p342 (forall @t14 (or @t81 @t197 @t11))) % 0.48/0.91 (assume @p343 (forall @t10 (or @t81 @t196 @t39))) % 0.48/0.91 (assume @p344 (forall @t201 (or @t286 @t269 @t285))) % 0.48/0.91 (assume @p345 (forall @t205 (or @t358 @t257))) % 0.48/0.91 (assume @p346 (forall @t205 (or @t256 (not @t358)))) % 0.48/0.91 (assume @p347 (forall @t351 (or @t49 (= (tptp.c_HOL_Oinverse__class_Odivide @t215 @t34 @t4) (tptp.c_RealVector_OscaleR__class_OscaleR @t1 @t118 @t4))))) % 0.48/0.91 (assume @p348 (forall (@list @t30 @t57 @t34) (or @t285 (not (tptp.c_lessequals @t227 (tptp.c_HOL_Otimes__class_Otimes @t57 (tptp.c_HOL_Oabs__class_Oabs @t34 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) @t313))) % 0.48/0.91 (assume @p349 (forall @t14 (or @t81 @t18 @t59 (not @t359)))) % 0.48/0.91 (assume @p350 (forall @t14 (or @t81 @t18 @t359 @t60))) % 0.48/0.91 (assume @p351 (forall (@list @t4 @t1) (or (not (tptp.class_RealVector_Oreal__normed__algebra__1 @t4)) (= (tptp.c_RealVector_Onorm__class_Onorm @t214 @t4) @t2)))) % 0.48/0.91 (assume @p352 (forall @t14 (or @t13 (= (tptp.c_HOL_Oabs__class_Oabs @t12 @t4) @t12)))) % 0.48/0.91 (assume @p353 (forall @t353 (or @t23 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t7 @t352 @t4) (tptp.c_RealVector_OscaleR__class_OscaleR @t1 @t173 @t4))))) % 0.48/0.91 (assume @p354 (forall @t209 (or @t9 (= @t208 (tptp.c_RealVector_OscaleR__class_OscaleR @t6 @t176 @t4))))) % 0.48/0.91 (assume @p355 (forall (@list @t4 @t360 @t1 @t30) (or @t23 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t360 @t215 @t4) (tptp.c_RealVector_OscaleR__class_OscaleR @t1 (tptp.c_RealVector_OscaleR__class_OscaleR @t360 @t30 @t4) @t4))))) % 0.48/0.91 (assume @p356 (forall @t10 (or @t81 @t18 @t146 @t59 @t361))) % 0.48/0.91 (assume @p357 (forall @t113 (or @t81 @t18 @t213 @t59 @t361))) % 0.48/0.91 (assume @p358 (forall @t10 (or @t81 @t18 @t146 @t212 @t361))) % 0.48/0.91 (assume @p359 (forall @t113 (or @t81 @t18 @t213 @t212 @t361))) % 0.48/0.91 (assume @p360 (forall @t120 (or @t362 (= @t237 @t236)))) % 0.48/0.91 (assume @p361 (forall @t14 (or @t13 (tptp.c_lessequals @t7 @t12 @t4)))) % 0.48/0.91 (assume @p362 (forall @t364 (or @t37 @t18 (= @t5 @t363)))) % 0.48/0.91 (assume @p363 (forall @t201 (= (tptp.c_HOL_Oabs__class_Oabs @t216 tptp.tc_RealDef_Oreal) @t216))) % 0.48/0.91 (assume @p364 (forall @t14 (or @t21 (= (tptp.c_HOL_Otimes__class_Otimes @t12 @t12 @t4) @t323)))) % 0.48/0.91 (assume @p365 (forall @t366 (or @t37 @t18 (= @t6 @t365) @t193))) % 0.48/0.91 (assume @p366 (forall @t366 (or @t37 @t18 (= @t365 @t6) @t193))) % 0.48/0.91 (assume @p367 (forall @t276 (or @t21 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t34 @t4) @t30 @t4) (tptp.c_HOL_Oabs__class_Oabs @t222 @t4)) @t85))) % 0.48/0.91 (assume @p368 (forall @t10 (or @t81 @t18 @t210 @t233 @t60))) % 0.48/0.91 (assume @p369 (forall @t10 (or @t81 @t18 @t210 @t231 @t147))) % 0.48/0.91 (assume @p370 (forall @t10 (or @t37 (= @t194 (tptp.c_HOL_Otimes__class_Otimes @t7 @t41 @t4))))) % 0.48/0.91 (assume @p371 (forall @t120 (or @t37 (not (tptp.class_Int_Onumber__ring @t4)) (= @t118 (tptp.c_HOL_Otimes__class_Otimes @t30 (tptp.c_HOL_Oinverse__class_Oinverse @t34 @t4) @t4))))) % 0.48/0.91 (assume @p372 (forall @t201 (= (tptp.c_NthRoot_Osqrt @t367) @t227))) % 0.48/0.91 (assume @p373 (forall @t109 (or @t81 @t18 @t179 @t75 @t61 @t151))) % 0.48/0.91 (assume @p374 (forall @t107 (or @t81 @t18 @t150 @t75 @t180 @t61))) % 0.48/0.91 (assume @p375 (forall @t105 (or @t81 @t18 @t177 @t75 @t61 @t149))) % 0.48/0.91 (assume @p376 (forall @t101 (or @t81 @t18 @t148 @t75 @t178 @t61))) % 0.48/0.91 (assume @p377 (tptp.c_lessequals @t188 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p378 (forall @t32 (or @t162 @t279))) % 0.48/0.91 (assume @p379 (forall @t32 (or @t156 @t279))) % 0.48/0.91 (assume @p380 (forall (@list @t369 @t342 @t368) (or (tptp.c_lessequals @t369 @t342 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t368 @t342 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t369 @t368 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p381 (forall (@list @t88) (tptp.c_lessequals @t88 @t88 tptp.tc_RealDef_Oreal))) % 0.48/0.91 (assume @p382 (forall @t163 (or @t162 (tptp.c_lessequals @t30 @t90 @t4) @t160 @t87))) % 0.48/0.91 (assume @p383 (forall @t127 (or @t156 (tptp.c_lessequals @t90 @t30 @t4) @t154 @t158))) % 0.48/0.91 (assume @p384 (forall (@list @t4 @t30 @t34 @t88 @t90) (or @t37 (not @t373) @t372 @t371 @t370))) % 0.48/0.91 (assume @p385 (forall (@list @t4 @t30 @t90 @t88 @t34) (or @t37 (not @t370) @t372 @t371 @t373))) % 0.48/0.91 (assume @p386 (forall @t120 (or @t362 (= (tptp.c_HOL_Osgn__class_Osgn @t223 @t4) (tptp.c_HOL_Otimes__class_Otimes @t52 (tptp.c_HOL_Osgn__class_Osgn @t34 @t4) @t4))))) % 0.48/0.91 (assume @p387 (forall @t10 (or @t21 (= (tptp.c_HOL_Osgn__class_Osgn @t43 @t4) (tptp.c_HOL_Otimes__class_Otimes @t50 (tptp.c_HOL_Osgn__class_Osgn @t6 @t4) @t4))))) % 0.48/0.91 (assume @p388 (forall @t14 (or @t13 (tptp.c_lessequals @t5 @t12 @t4)))) % 0.48/0.91 (assume @p389 (forall @t364 (or @t37 @t18 (= @t363 @t5)))) % 0.48/0.91 (assume @p390 (forall @t276 (or @t275 @t157 @t86))) % 0.48/0.91 (assume @p391 (forall (@list @t88 @t90) (or @t259 @t258))) % 0.48/0.91 (assume @p392 (forall @t14 (or @t81 @t321 @t72))) % 0.48/0.91 (assume @p393 (forall @t14 (or @t81 @t18 @t321 @t72))) % 0.48/0.91 (assume @p394 (forall @t14 (or @t81 @t18 @t71 @t322))) % 0.48/0.91 (assume @p395 (forall @t187 (or @t183 (not (tptp.c_HOL_Oord__class_Oless @t186 @t5 @t4))))) % 0.48/0.91 (assume @p396 (forall @t113 (or @t81 @t18 @t138 @t110 @t374))) % 0.48/0.91 (assume @p397 (forall @t10 (or @t81 @t18 @t97 @t110 @t374))) % 0.48/0.91 (assume @p398 (forall @t113 (or @t81 @t18 @t138 @t71 @t374))) % 0.48/0.91 (assume @p399 (forall @t10 (or @t81 @t18 @t97 @t71 @t374))) % 0.48/0.91 (assume @p400 (forall @t82 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t4)) @t135 @t62 @t55))) % 0.48/0.91 (assume @p401 (forall @t109 (or @t144 @t131 @t84 @t75))) % 0.48/0.91 (assume @p402 (forall @t109 (or @t144 @t131 @t55 @t62))) % 0.48/0.91 (assume @p403 (forall @t109 (or @t66 @t131 @t62 @t55))) % 0.48/0.91 (assume @p404 (forall @t109 (or @t144 @t131 @t75 @t84))) % 0.48/0.91 (assume @p405 (forall @t82 (or @t144 @t135 @t84 @t75))) % 0.48/0.91 (assume @p406 (forall @t82 (or @t144 @t135 @t55 @t62))) % 0.48/0.91 (assume @p407 (forall @t82 (or @t66 @t135 @t62 @t55))) % 0.48/0.91 (assume @p408 (forall @t82 (or @t144 @t135 @t75 @t84))) % 0.48/0.91 (assume @p409 (forall @t101 (or @t144 @t54 @t136 @t62))) % 0.48/0.91 (assume @p410 (forall @t105 (or @t144 @t83 @t136 @t75))) % 0.48/0.91 (assume @p411 (forall @t357 (or @t9 (not (= @t176 @t5)) @t51 @t280))) % 0.48/0.91 (assume @p412 (forall @t32 (or @t169 (not (= @t230 @t5)) @t285))) % 0.48/0.91 (assume @p413 (forall @t22 (or @t169 @t375))) % 0.48/0.91 (assume @p414 (forall @t22 (or @t23 @t169 @t375))) % 0.48/0.91 (assume @p415 (forall @t27 (or @t23 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t188 @t6 @t4) @t5)))) % 0.48/0.91 (assume @p416 (forall @t32 (or @t9 (= @t283 @t5)))) % 0.48/0.91 (assume @p417 (forall @t295 (or @t294 @t289))) % 0.48/0.91 (assume @p418 (tptp.c_HOL_Oord__class_Oless @t188 tptp.c_Transcendental_Opi tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p419 (forall @t201 (or @t285 (tptp.c_HOL_Oord__class_Oless @t188 @t367 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p420 (forall @t3 (or (= @t2 @t1) (tptp.c_HOL_Oord__class_Oless @t1 @t188 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p421 (forall @t32 (or @t33 (tptp.c_HOL_Oord__class_Oless @t188 @t345 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p422 (tptp.c_HOL_Oord__class_Oless @t188 tptp.c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p423 (forall @t35 (or @t33 (tptp.c_HOL_Oord__class_Oless @t188 @t217 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p424 (not (tptp.c_HOL_Oord__class_Oless @t188 (tptp.c_HOL_Otimes__class_Otimes @t188 @t188 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.48/0.91 (assume @p425 (forall @t35 (or @t49 (tptp.c_HOL_Oord__class_Oless @t188 @t238 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p426 (forall (@list @t185) (tptp.c_HOL_Oord__class_Oless @t188 (tptp.c_RealDef_Oreal__of__preal @t185) tptp.tc_RealDef_Oreal))) % 0.48/0.91 (assume @p427 (forall (@list @t354) (tptp.c_HOL_Oord__class_Oless @t188 (tptp.c_RealDef_Oreal__of__preal @t354) tptp.tc_RealDef_Oreal))) % 0.48/0.91 (assume @p428 (forall (@list @t4 @t348 @t1) (or @t23 (tptp.c_HOL_Oord__class_Oless @t188 @t349 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p429 (forall @t268 (or (tptp.c_HOL_Oord__class_Oless @t188 (tptp.c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1 @t34) tptp.tc_RealDef_Oreal) @t290))) % 0.48/0.91 (assume @p430 (forall @t381 (or (tptp.c_HOL_Oord__class_Oless @t188 @t380 tptp.tc_RealDef_Oreal) @t379 @t377))) % 0.48/0.91 (assume @p431 (forall (@list @t7 @t181) (or (tptp.c_HOL_Oord__class_Oless @t188 (tptp.c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1 @t7 @t181) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t188 @t7 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p432 (forall @t384 (or (tptp.c_HOL_Oord__class_Oless @t188 (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__1__1 @t7 @t6 @t30) tptp.tc_RealDef_Oreal) @t383 @t382))) % 0.48/0.91 (assume @p433 (forall @t201 (or (tptp.c_HOL_Oord__class_Oless @t188 @t199 tptp.tc_RealDef_Oreal) @t288))) % 0.48/0.91 (assume @p434 (forall @t268 (or @t289 (not @t385)))) % 0.48/0.91 (assume @p435 (forall @t268 (or @t385 @t290))) % 0.48/0.91 (assume @p436 (forall @t205 (or @t386 @t308 @t290 @t288))) % 0.48/0.91 (assume @p437 (forall @t205 (or @t307 (not @t386) @t290 @t288))) % 0.48/0.91 (assume @p438 (forall (@list @t387 @t1) (tptp.c_HOL_Oord__class_Oless @t188 (tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1 @t387 @t1) tptp.tc_RealDef_Oreal))) % 0.48/0.91 (assume @p439 (forall @t205 (or (not (= @t292 @t291)) @t290 @t288 @t190))) % 0.48/0.91 (assume @p440 (forall @t201 (or (tptp.c_HOL_Oord__class_Oless @t292 @t30 tptp.tc_RealDef_Oreal) @t288))) % 0.48/0.91 (assume @p441 (forall (@list @t181 @t30) (or (= (tptp.c_NthRoot_Oroot @t181 @t30) @t188) @t388 @t287))) % 0.48/0.91 (assume @p442 (forall (@list @t4 @t170) (or @t23 (tptp.c_HOL_Oord__class_Oless @t188 @t171 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p443 (forall @t384 (or (tptp.c_HOL_Oord__class_Oless @t188 (tptp.c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1 @t7 @t6 @t30) tptp.tc_RealDef_Oreal) @t383 @t382))) % 0.48/0.91 (assume @p444 (forall @t120 (or @t191 (tptp.c_HOL_Oord__class_Oless @t188 @t189 tptp.tc_RealDef_Oreal) @t190))) % 0.48/0.91 (assume @p445 (forall (@list @t4 @t165) (or @t23 @t169 (tptp.c_HOL_Oord__class_Oless @t188 @t166 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p446 (forall @t120 (or @t191 (not (tptp.c_HOL_Oord__class_Oless @t189 @t188 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p447 (tptp.c_HOL_Oord__class_Oless @t188 tptp.c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p448 (forall @t201 (or @t286 @t288))) % 0.48/0.91 (assume @p449 (forall @t201 (not (tptp.c_HOL_Oord__class_Oless @t216 @t188 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p450 (forall @t205 (or (tptp.c_HOL_Oord__class_Oless @t188 @t204 tptp.tc_RealDef_Oreal) @t290 @t288))) % 0.48/0.91 (assume @p451 (forall @t381 (or (tptp.c_HOL_Oord__class_Oless @t380 @t378 tptp.tc_RealDef_Oreal) @t379 @t377))) % 0.48/0.91 (assume @p452 (forall @t381 (or (tptp.c_HOL_Oord__class_Oless @t380 @t376 tptp.tc_RealDef_Oreal) @t379 @t377))) % 0.48/0.91 (assume @p453 (forall @t32 (or @t191 (not (tptp.c_HOL_Oord__class_Oless @t188 @t239 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p454 (forall @t207 (not (tptp.c_HOL_Oord__class_Oless @t206 @t188 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p455 (forall @t201 (or @t388 (not @t389)))) % 0.48/0.91 (assume @p456 (forall @t201 (or @t389 (not @t388)))) % 0.48/0.91 (assume @p457 (not (tptp.c_HOL_Oord__class_Oless tptp.c_Transcendental_Opi @t188 tptp.tc_RealDef_Oreal))) % 0.48/0.91 (assume @p458 (forall (@list @t390 @t387 @t90) (or (tptp.c_HOL_Oord__class_Oless @t188 (tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1 @t390 @t387 @t90) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t188 @t390 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p459 (tptp.c_HOL_Oord__class_Oless @t188 tptp.c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1 tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p460 (forall (@list @t4 @t343) (or @t33 (tptp.c_HOL_Oord__class_Oless @t188 @t344 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p461 (forall @t301 (or (tptp.c_HOL_Oord__class_Oless @t299 @t298 tptp.tc_RealDef_Oreal) @t308 @t297))) % 0.48/0.91 (assume @p462 (forall @t306 (or @t391 @t308 @t297))) % 0.48/0.91 (assume @p463 (forall @t302 (or @t307 (not @t391) @t297))) % 0.48/0.91 (assume @p464 (forall @t201 (tptp.c_HOL_Oord__class_Oless @t188 @t216 tptp.tc_RealDef_Oreal))) % 0.48/0.91 (assume @p465 (forall @t32 (or @t23 (tptp.c_HOL_Oord__class_Oless @t188 @t174 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p466 (forall @t32 (or @t23 (tptp.c_lessequals @t188 @t235 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p467 (forall @t22 (or @t23 (= (tptp.c_RealVector_Onorm__class_Onorm @t19 @t4) @t188)))) % 0.48/0.91 (assume @p468 (forall @t22 (or @t23 (tptp.c_lessequals @t392 @t188 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p469 (forall @t32 (or @t23 @t51 (not (tptp.c_lessequals @t235 @t188 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p470 (forall @t10 (or @t156 @t55 @t84))) % 0.48/0.91 (assume @p471 (forall @t120 (or @t275 @t123 @t153))) % 0.48/0.91 (assume @p472 (forall @t276 (or @t162 @t153 @t123))) % 0.48/0.91 (assume @p473 (forall @t113 (or @t162 @t84 @t55))) % 0.48/0.91 (assume @p474 (forall @t32 (or @t162 @t278))) % 0.48/0.91 (assume @p475 (forall @t201 (not (tptp.c_HOL_Oord__class_Oless @t30 @t30 tptp.tc_RealDef_Oreal)))) % 0.48/0.91 (assume @p476 (forall @t32 (or @t156 @t278))) % 0.48/0.91 (assume @p477 (forall @t32 (or @t275 @t278))) % 0.48/0.91 (assume @p478 (forall @t22 (or @t23 (= @t392 @t188)))) % 0.48/0.91 (assume @p479 @t395) % 0.48/0.91 (assume @p480 (forall @t276 (or @t21 @t152 @t122 @t190))) % 0.48/0.91 (assume @p481 (forall @t120 (or @t275 @t190 @t152 @t122))) % 0.48/0.91 (assume @p482 (forall @t120 (or @t275 @t190 @t122 @t152))) % 0.48/0.91 (assume @p483 (forall @t276 (or @t275 @t152 @t190 @t122))) % 0.48/0.91 (assume @p484 (forall @t276 (or @t275 @t152 @t122 @t190))) % 0.48/0.91 (assume @p485 (forall @t22 (or @t23 (not (tptp.c_HOL_Oord__class_Oless @t188 @t392 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p486 (forall @t32 (or @t23 (not (= @t235 @t188)) @t51))) % 0.48/0.91 (assume @p487 (forall @t32 (or @t23 (not (tptp.c_HOL_Oord__class_Oless @t235 @t188 tptp.tc_RealDef_Oreal))))) % 0.48/0.91 (assume @p488 (forall @t127 (or @t156 @t155 @t159 @t153))) % 0.48/0.91 (assume @p489 (forall @t163 (or @t162 @t161 @t164 @t123))) % 0.48/0.91 (assume @p490 (not @t397)) % 0.48/0.91 (assume @p491 (not @t398)) % 0.48/0.91 (assume @p492 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.48/0.91 (assume @p493 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 0.48/0.91 (assume @p494 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.48/0.91 (assume @p495 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 0.48/0.91 (assume @p496 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 0.48/0.91 (assume @p497 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.48/0.91 (assume @p498 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.48/0.91 (assume @p499 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.48/0.91 (assume @p500 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.48/0.91 (assume @p501 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 0.48/0.91 (assume @p502 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.48/0.91 (assume @p503 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 0.48/0.91 (assume @p504 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.48/0.91 (assume @p505 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.48/0.91 (assume @p506 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.48/0.91 (assume @p507 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.48/0.91 (assume @p508 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p509 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p510 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p511 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p512 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p513 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p514 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p515 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p516 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p517 (tptp.class_Ring__and__Field_Opordered__ring__abs tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p518 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p519 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p520 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p521 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p522 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p523 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p524 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p525 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p526 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p527 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p528 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p529 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p530 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p531 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p532 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p533 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p534 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p535 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p536 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p537 (tptp.class_RealVector_Oreal__algebra tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p538 (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p539 (tptp.class_RealVector_Oreal__vector tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p540 (tptp.class_Ring__and__Field_Osgn__if tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p541 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p542 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p543 (tptp.class_Nat_Osemiring__char__0 tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p544 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p545 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p546 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p547 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p548 (tptp.class_SEQ_Obanach tptp.tc_RealDef_Oreal)) % 0.48/0.91 (assume @p549 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p550 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p551 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p552 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p553 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p554 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p555 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p556 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p557 @t399) % 0.48/0.91 (assume @p558 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p559 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p560 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p561 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p562 (tptp.class_RealVector_Oreal__algebra tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p563 (tptp.class_RealVector_Ometric__space tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p564 (tptp.class_RealVector_Oreal__vector tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p565 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p566 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p567 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (assume @p568 (tptp.class_SEQ_Obanach tptp.tc_Complex_Ocomplex)) % 0.48/0.91 (step @p569 :rule eq-symm :args (@t30 @t5)) % 0.48/0.91 (step @p570 :rule refl :args (@t393)) % 0.48/0.91 (step @p571 :rule refl :args (@t23)) % 0.48/0.91 (step @p572 :rule nary_cong :premises (@p571 @p570 @p569) :args (@t394)) % 0.48/0.91 (step @p573 :rule cong :premises (@p572) :args (@t395)) % 0.48/0.91 (step @p574 :rule eq_resolve :premises (@p479 @p573)) % 0.48/0.91 (step @p575 :rule cnf_or_pos :args (@t401)) % 0.48/0.91 (step @p576 :rule reordering :premises (@p575) :args ((or @t397 @t398 @t400 @t402))) % 0.48/0.91 (step @p577 :rule chain_m_resolution :premises (@p576 @p490 @p491 @p557) :args (@t402 (@list true true false) (@list @t397 @t398 @t399))) % 0.48/0.91 (step @p578 :rule eq-symm :args (@t396 tptp.v_c____)) % 0.48/0.91 (step @p579 :rule refl :args (@t398)) % 0.48/0.91 (step @p580 :rule refl :args (@t400)) % 0.48/0.91 (step @p581 :rule nary_cong :premises (@p580 @p579 @p578) :args (@t403)) % 0.48/0.91 (step @p582 :rule refl :args (@t404)) % 0.48/0.91 (step @p583 :rule cong :premises (@p582 @p581) :args ((=> @t404 @t403))) % 0.48/0.91 (assume-push @p591 @t404) % 0.48/0.91 (step @p585 :rule instantiate :premises (@p574) :args ((@list tptp.tc_Complex_Ocomplex tptp.v_c____))) % 0.48/0.91 (step-pop @p592 :rule scope :premises (@p585)) % 0.48/0.91 (step @p586 :rule process_scope :premises (@p592) :args (@t403)) % 0.48/0.91 (step @p588 :rule eq_resolve :premises (@p586 @p583)) % 0.48/0.91 (step @p589 :rule implies_elim :premises (@p588)) % 0.48/0.91 (step @p590 false :rule chain_m_resolution :premises (@p589 @p577 @p574) :args (false (@list true false) (@list @t401 @t404))) % 0.48/0.91 ) % 0.48/0.91 % SZS output end Proof % 0.48/0.91 % cvc5 exiting %------------------------------------------------------------------------------